0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.09/0.36 % Computer : n016.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 14:01:22 UTC 2026 0.13/0.36 % CPUTime : 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.13/0.40 Running higher-order theorem proving 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.17/0.54 % (1415232)Detected a higher-order problem, will run a greedy HOL sequence. 0.17/0.54 % (1415239)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3135455551:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi) 0.17/0.54 % (1415239)Instruction limit reached! 0.17/0.54 % (1415239)------------------------------ 0.17/0.54 % (1415239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.17/0.54 % (1415239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.54 % (1415239)CaDiCaL version: 2.1.3 0.17/0.54 % (1415239)Termination reason: Instruction limit 0.17/0.54 % (1415239)Termination phase: Property scanning 0.17/0.54 % (1415239)Time elapsed: 0.002 s 0.17/0.54 % (1415239)Peak memory usage: 10 MB 0.17/0.54 % (1415239)Instructions burned: 7 (million) 0.17/0.54 % (1415241)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2585778827:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi) 0.17/0.54 % (1415237)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2123919109:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi) 0.17/0.54 % (1415238)lrs+10_16_si=on:nwc=1.5:random_seed=1891478531:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi) 0.17/0.54 % (1415240)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=109942298:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1799 on theBenchmark for (1799ds/634Mi) 0.17/0.54 % (1415242)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2388109925:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi) 0.17/0.54 % (1415243)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 0.17/0.54 % (1415243)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 0.17/0.54 % (1415238)Instruction limit reached! 0.17/0.54 % (1415238)------------------------------ 0.17/0.54 % (1415238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.17/0.54 % (1415238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.54 % (1415238)CaDiCaL version: 2.1.3 0.17/0.54 % (1415238)Termination reason: Instruction limit 0.17/0.54 % (1415238)Termination phase: Saturation 0.17/0.54 % (1415238)Time elapsed: 0.008 s 0.17/0.54 % (1415238)Peak memory usage: 11 MB 0.17/0.54 % (1415238)Instructions burned: 19 (million) 0.17/0.54 % (1415243)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2339026389:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi) 0.17/0.54 % (1415241)Instruction limit reached! 0.17/0.54 % (1415241)------------------------------ 0.17/0.54 % (1415241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.17/0.54 % (1415241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.54 % (1415241)CaDiCaL version: 2.1.3 0.17/0.54 % (1415241)Termination reason: Instruction limit 0.17/0.54 % (1415241)Termination phase: Saturation 0.17/0.54 % (1415241)Time elapsed: 0.014 s 0.17/0.54 % (1415241)Peak memory usage: 11 MB 0.17/0.54 % (1415241)Instructions burned: 25 (million) 0.17/0.54 % (1415245)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=146856077:i=2:hud=10:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 0.17/0.54 % (1415242)Instruction limit reached! 0.17/0.54 % (1415242)------------------------------ 0.17/0.54 % (1415242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.17/0.54 % (1415242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.54 % (1415242)CaDiCaL version: 2.1.3 0.17/0.54 % (1415242)Termination reason: Instruction limit 0.17/0.54 % (1415242)Termination phase: Saturation 0.17/0.54 % (1415242)Time elapsed: 0.018 s 0.17/0.54 % (1415242)Peak memory usage: 13 MB 0.17/0.54 % (1415242)Instructions burned: 78 (million) 0.17/0.54 % (1415245)Instruction limit reached! 0.17/0.54 % (1415245)------------------------------ 0.17/0.54 % (1415245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.57 % (1415245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.57 % (1415245)CaDiCaL version: 2.1.3 0.93/0.57 % (1415245)Termination reason: Instruction limit 0.93/0.57 % (1415245)Termination phase: Function definition elimination 0.93/0.57 % (1415245)Time elapsed: 0.002 s 0.93/0.57 % (1415245)Peak memory usage: 10 MB 0.93/0.57 % (1415245)Instructions burned: 5 (million) 0.93/0.57 % (1415251)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3398231891:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1799 on theBenchmark for (1799ds/5Mi) 0.93/0.57 % (1415253)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 0.93/0.57 % (1415251)Instruction limit reached! 0.93/0.57 % (1415251)------------------------------ 0.93/0.57 % (1415251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.57 % (1415251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.57 % (1415251)CaDiCaL version: 2.1.3 0.93/0.57 % (1415251)Termination reason: Instruction limit 0.93/0.57 % (1415251)Termination phase: Property scanning 0.93/0.57 % (1415251)Time elapsed: 0.003 s 0.93/0.57 % (1415251)Peak memory usage: 10 MB 0.93/0.57 % (1415251)Instructions burned: 6 (million) 0.93/0.57 % (1415255)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1246415846:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_1799 on theBenchmark for (1799ds/12Mi) 0.93/0.57 % (1415253)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=217864882:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1799 on theBenchmark for (1799ds/7Mi) 0.93/0.57 % (1415255)Instruction limit reached! 0.93/0.57 % (1415255)------------------------------ 0.93/0.57 % (1415255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.57 % (1415255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.57 % (1415255)CaDiCaL version: 2.1.3 0.93/0.57 % (1415255)Termination reason: Instruction limit 0.93/0.57 % (1415255)Termination phase: Saturation 0.93/0.57 % (1415255)Time elapsed: 0.004 s 0.93/0.57 % (1415255)Peak memory usage: 11 MB 0.93/0.57 % (1415255)Instructions burned: 17 (million) 0.93/0.57 % (1415253)Instruction limit reached! 0.93/0.57 % (1415253)------------------------------ 0.93/0.57 % (1415253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.57 % (1415253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.57 % (1415253)CaDiCaL version: 2.1.3 0.93/0.57 % (1415253)Termination reason: Instruction limit 0.93/0.57 % (1415253)Termination phase: Saturation 0.93/0.57 % (1415253)Time elapsed: 0.004 s 0.93/0.57 % (1415253)Peak memory usage: 11 MB 0.93/0.57 % (1415253)Instructions burned: 9 (million) 0.93/0.57 % (1415237)Instruction limit reached! 0.93/0.57 % (1415237)------------------------------ 0.93/0.57 % (1415237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.57 % (1415237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.57 % (1415237)CaDiCaL version: 2.1.3 0.93/0.57 % (1415237)Termination reason: Instruction limit 0.93/0.57 % (1415237)Termination phase: Saturation 0.93/0.57 % (1415237)Time elapsed: 0.038 s 0.93/0.57 % (1415237)Peak memory usage: 12 MB 0.93/0.57 % (1415237)Instructions burned: 87 (million) 0.93/0.57 % (1415256)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 0.93/0.57 % (1415256)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 0.93/0.57 % (1415261)lrs+10_1_si=on:cs=on:random_seed=3685723452:i=8:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/8Mi) 0.93/0.57 % (1415258)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=458756068:i=86:piset=equals:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/86Mi) 0.93/0.57 % (1415261)Instruction limit reached! 0.93/0.57 % (1415261)------------------------------ 0.93/0.57 % (1415261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.57 % (1415261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.61 % (1415261)CaDiCaL version: 2.1.3 0.93/0.61 % (1415261)Termination reason: Instruction limit 0.93/0.61 % (1415261)Termination phase: Saturation 0.93/0.61 % (1415261)Time elapsed: 0.004 s 0.93/0.61 % (1415261)Peak memory usage: 11 MB 0.93/0.61 % (1415261)Instructions burned: 17 (million) 0.93/0.61 % (1415262)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on 0.93/0.61 % (1415256)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2552345231:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1799 on theBenchmark for (1799ds/28Mi) 0.93/0.61 % (1415262)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=838506239:i=2:add=on:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 0.93/0.61 % (1415263)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3992418106:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_1799 on theBenchmark for (1799ds/38Mi) 0.93/0.61 % (1415262)Instruction limit reached! 0.93/0.61 % (1415262)------------------------------ 0.93/0.61 % (1415262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.61 % (1415262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.61 % (1415262)CaDiCaL version: 2.1.3 0.93/0.61 % (1415262)Termination reason: Instruction limit 0.93/0.61 % (1415262)Termination phase: Function definition elimination 0.93/0.61 % (1415262)Time elapsed: 0.002 s 0.93/0.61 % (1415262)Peak memory usage: 10 MB 0.93/0.61 % (1415262)Instructions burned: 4 (million) 0.93/0.61 % (1415263)Refutation not found, incomplete strategy 0.93/0.61 % (1415263)------------------------------ 0.93/0.61 % (1415263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.61 % (1415263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.61 % (1415263)CaDiCaL version: 2.1.3 0.93/0.61 % (1415263)Termination reason: Refutation not found, incomplete strategy 0.93/0.61 % (1415263)Time elapsed: 0.003 s 0.93/0.61 % (1415263)Peak memory usage: 12 MB 0.93/0.61 % (1415263)Instructions burned: 6 (million) 0.93/0.61 % (1415263)------------------------------ 0.93/0.61 % (1415263)------------------------------ 0.93/0.61 % (1415266)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2168581808:st=2:i=249:sd=1:rtra=on:ss=axioms_1799 on theBenchmark for (1799ds/249Mi) 0.93/0.61 % (1415266)Refutation not found, incomplete strategy 0.93/0.61 % (1415266)------------------------------ 0.93/0.61 % (1415266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.61 % (1415266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.61 % (1415266)CaDiCaL version: 2.1.3 0.93/0.61 % (1415266)Termination reason: Refutation not found, incomplete strategy 0.93/0.61 % (1415266)Time elapsed: 0.002 s 0.93/0.61 % (1415266)Peak memory usage: 12 MB 0.93/0.61 % (1415266)Instructions burned: 8 (million) 0.93/0.61 % (1415266)------------------------------ 0.93/0.61 % (1415266)------------------------------ 0.93/0.61 % (1415256)Instruction limit reached! 0.93/0.61 % (1415256)------------------------------ 0.93/0.61 % (1415256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.61 % (1415256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.61 % (1415256)CaDiCaL version: 2.1.3 0.93/0.61 % (1415256)Termination reason: Instruction limit 0.93/0.61 % (1415256)Termination phase: Saturation 0.93/0.61 % (1415256)Time elapsed: 0.021 s 0.93/0.61 % (1415256)Peak memory usage: 11 MB 0.93/0.61 % (1415256)Instructions burned: 28 (million) 0.93/0.61 % (1415243)Instruction limit reached! 0.93/0.61 % (1415243)------------------------------ 0.93/0.61 % (1415243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.61 % (1415243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.61 % (1415243)CaDiCaL version: 2.1.3 0.93/0.61 % (1415243)Termination reason: Instruction limit 0.93/0.61 % (1415243)Termination phase: Saturation 0.93/0.61 % (1415243)Time elapsed: 0.066 s 0.93/0.61 % (1415243)Peak memory usage: 13 MB 0.93/0.61 % (1415243)Instructions burned: 158 (million) 0.93/0.61 % (1415273)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=940138605:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/327Mi) 1.36/0.65 % (1415274)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1252710916:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_1798 on theBenchmark for (1798ds/14Mi) 1.36/0.65 % (1415270)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4016493821:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1799 on theBenchmark for (1799ds/25Mi) 1.36/0.65 % (1415274)Instruction limit reached! 1.36/0.65 % (1415274)------------------------------ 1.36/0.65 % (1415274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.65 % (1415274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.65 % (1415274)CaDiCaL version: 2.1.3 1.36/0.65 % (1415274)Termination reason: Instruction limit 1.36/0.65 % (1415274)Termination phase: Saturation 1.36/0.65 % (1415274)Time elapsed: 0.004 s 1.36/0.65 % (1415274)Peak memory usage: 11 MB 1.36/0.65 % (1415274)Instructions burned: 17 (million) 1.36/0.65 % (1415258)Instruction limit reached! 1.36/0.65 % (1415258)------------------------------ 1.36/0.65 % (1415258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.65 % (1415258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.65 % (1415258)CaDiCaL version: 2.1.3 1.36/0.65 % (1415258)Termination reason: Instruction limit 1.36/0.65 % (1415258)Termination phase: Saturation 1.36/0.65 % (1415258)Time elapsed: 0.043 s 1.36/0.65 % (1415258)Peak memory usage: 13 MB 1.36/0.65 % (1415258)Instructions burned: 90 (million) 1.36/0.65 % (1415272)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2225897082:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_1799 on theBenchmark for (1799ds/14Mi) 1.36/0.65 % (1415275)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=673102281:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_1798 on theBenchmark for (1798ds/2Mi) 1.36/0.65 % (1415275)Instruction limit reached! 1.36/0.65 % (1415275)------------------------------ 1.36/0.65 % (1415275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.65 % (1415275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.65 % (1415275)CaDiCaL version: 2.1.3 1.36/0.65 % (1415275)Termination reason: Instruction limit 1.36/0.65 % (1415275)Termination phase: shuffling 1.36/0.65 % (1415275)Time elapsed: 0.001 s 1.36/0.65 % (1415275)Peak memory usage: 9 MB 1.36/0.65 % (1415275)Instructions burned: 2 (million) 1.36/0.65 % (1415272)Instruction limit reached! 1.36/0.65 % (1415272)------------------------------ 1.36/0.65 % (1415272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.65 % (1415272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.65 % (1415272)CaDiCaL version: 2.1.3 1.36/0.65 % (1415272)Termination reason: Instruction limit 1.36/0.65 % (1415272)Termination phase: Saturation 1.36/0.65 % (1415272)Time elapsed: 0.006 s 1.36/0.65 % (1415272)Peak memory usage: 11 MB 1.36/0.65 % (1415272)Instructions burned: 14 (million) 1.36/0.65 % (1415279)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2278970573:i=26:ep=R:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/26Mi) 1.36/0.65 % (1415270)Instruction limit reached! 1.36/0.65 % (1415270)------------------------------ 1.36/0.65 % (1415270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.65 % (1415270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.65 % (1415270)CaDiCaL version: 2.1.3 1.36/0.65 % (1415270)Termination reason: Instruction limit 1.36/0.65 % (1415270)Termination phase: Saturation 1.36/0.65 % (1415270)Time elapsed: 0.025 s 1.36/0.65 % (1415270)Peak memory usage: 12 MB 1.36/0.65 % (1415270)Instructions burned: 26 (million) 1.36/0.65 % (1415281)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1114161941:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_1798 on theBenchmark for (1798ds/23Mi) 1.36/0.65 % (1415284)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 1.36/0.65 % (1415284)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs 1.36/0.68 % (1415283)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1705950351:cond=on:i=60:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/60Mi) 1.36/0.68 % (1415284)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=783739498:i=14:add=off:nm=40:rtra=on:rawr=on_1798 on theBenchmark for (1798ds/14Mi) 1.36/0.68 % (1415279)Instruction limit reached! 1.36/0.68 % (1415279)------------------------------ 1.36/0.68 % (1415279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.68 % (1415279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.68 % (1415279)CaDiCaL version: 2.1.3 1.36/0.68 % (1415279)Termination reason: Instruction limit 1.36/0.68 % (1415279)Termination phase: Saturation 1.36/0.68 % (1415279)Time elapsed: 0.016 s 1.36/0.68 % (1415279)Peak memory usage: 12 MB 1.36/0.68 % (1415279)Instructions burned: 37 (million) 1.36/0.68 % (1415284)Instruction limit reached! 1.36/0.68 % (1415284)------------------------------ 1.36/0.68 % (1415284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.68 % (1415284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.68 % (1415284)CaDiCaL version: 2.1.3 1.36/0.68 % (1415284)Termination reason: Instruction limit 1.36/0.68 % (1415284)Termination phase: Saturation 1.36/0.68 % (1415284)Time elapsed: 0.006 s 1.36/0.68 % (1415284)Peak memory usage: 11 MB 1.36/0.68 % (1415284)Instructions burned: 15 (million) 1.36/0.68 % (1415281)Instruction limit reached! 1.36/0.68 % (1415281)------------------------------ 1.36/0.68 % (1415281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.68 % (1415281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.68 % (1415281)CaDiCaL version: 2.1.3 1.36/0.68 % (1415281)Termination reason: Instruction limit 1.36/0.68 % (1415281)Termination phase: Saturation 1.36/0.68 % (1415281)Time elapsed: 0.012 s 1.36/0.68 % (1415281)Peak memory usage: 11 MB 1.36/0.68 % (1415281)Instructions burned: 23 (million) 1.36/0.68 % (1415286)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off 1.36/0.68 % (1415290)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1538319906:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_1798 on theBenchmark for (1798ds/31Mi) 1.36/0.68 % (1415286)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2190917082:i=8:nm=2:rtra=on:fe=abstraction:inj=on_1798 on theBenchmark for (1798ds/8Mi) 1.36/0.68 % (1415286)Instruction limit reached! 1.36/0.68 % (1415286)------------------------------ 1.36/0.68 % (1415286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.68 % (1415286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.68 % (1415286)CaDiCaL version: 2.1.3 1.36/0.68 % (1415286)Termination reason: Instruction limit 1.36/0.68 % (1415286)Termination phase: Property scanning 1.36/0.68 % (1415286)Time elapsed: 0.004 s 1.36/0.69 % (1415286)Peak memory usage: 10 MB 1.36/0.69 % (1415286)Instructions burned: 9 (million) 1.36/0.69 % (1415290)Instruction limit reached! 1.36/0.69 % (1415290)------------------------------ 1.36/0.69 % (1415290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.36/0.69 % (1415290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.36/0.69 % (1415290)CaDiCaL version: 2.1.3 1.36/0.69 % (1415290)Termination reason: Instruction limit 1.36/0.69 % (1415290)Termination phase: Saturation 1.36/0.69 % (1415290)Time elapsed: 0.009 s 1.36/0.69 % (1415290)Peak memory usage: 12 MB 1.36/0.69 % (1415290)Instructions burned: 37 (million) 1.36/0.69 % (1415291)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2156647809:i=7:hud=5:bd=preordered:rtra=on:bet=on_1798 on theBenchmark for (1798ds/7Mi) 1.36/0.69 % (1415292)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1499734955:i=23:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/23Mi) 1.36/0.69 % (1415291)Instruction limit reached! 1.36/0.69 % (1415291)------------------------------ 1.75/0.72 % (1415291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.72 % (1415291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.72 % (1415291)CaDiCaL version: 2.1.3 1.75/0.72 % (1415291)Termination reason: Instruction limit 1.75/0.72 % (1415291)Termination phase: Property scanning 1.75/0.72 % (1415291)Time elapsed: 0.003 s 1.75/0.72 % (1415291)Peak memory usage: 10 MB 1.75/0.72 % (1415291)Instructions burned: 8 (million) 1.75/0.72 % (1415283)Instruction limit reached! 1.75/0.72 % (1415283)------------------------------ 1.75/0.72 % (1415283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.72 % (1415283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.72 % (1415283)CaDiCaL version: 2.1.3 1.75/0.72 % (1415283)Termination reason: Instruction limit 1.75/0.72 % (1415283)Termination phase: Saturation 1.75/0.72 % (1415283)Time elapsed: 0.032 s 1.75/0.72 % (1415283)Peak memory usage: 12 MB 1.75/0.72 % (1415283)Instructions burned: 61 (million) 1.75/0.72 % (1415296)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4043306753:i=1240:rtra=on:ixr=off_1798 on theBenchmark for (1798ds/1240Mi) 1.75/0.72 % (1415295)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2340860149:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_1798 on theBenchmark for (1798ds/20Mi) 1.75/0.72 % (1415292)Instruction limit reached! 1.75/0.72 % (1415292)------------------------------ 1.75/0.72 % (1415292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.72 % (1415292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.72 % (1415292)CaDiCaL version: 2.1.3 1.75/0.72 % (1415292)Termination reason: Instruction limit 1.75/0.72 % (1415292)Termination phase: Saturation 1.75/0.72 % (1415292)Time elapsed: 0.010 s 1.75/0.72 % (1415292)Peak memory usage: 11 MB 1.75/0.72 % (1415292)Instructions burned: 23 (million) 1.75/0.72 % (1415295)Instruction limit reached! 1.75/0.72 % (1415295)------------------------------ 1.75/0.72 % (1415295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.72 % (1415295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.72 % (1415295)CaDiCaL version: 2.1.3 1.75/0.72 % (1415295)Termination reason: Instruction limit 1.75/0.72 % (1415295)Termination phase: Saturation 1.75/0.72 % (1415295)Time elapsed: 0.011 s 1.75/0.72 % (1415295)Peak memory usage: 12 MB 1.75/0.72 % (1415295)Instructions burned: 20 (million) 1.75/0.72 % (1415299)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3173162506:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1798 on theBenchmark for (1798ds/143Mi) 1.75/0.72 % (1415300)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=672375402:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/193Mi) 1.75/0.72 % (1415300)Refutation not found, incomplete strategy 1.75/0.72 % (1415300)------------------------------ 1.75/0.72 % (1415300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.72 % (1415300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.72 % (1415300)CaDiCaL version: 2.1.3 1.75/0.72 % (1415300)Termination reason: Refutation not found, incomplete strategy 1.75/0.72 % (1415300)Time elapsed: 0.005 s 1.75/0.72 % (1415300)Peak memory usage: 12 MB 1.75/0.72 % (1415300)Instructions burned: 10 (million) 1.75/0.72 % (1415300)------------------------------ 1.75/0.72 % (1415300)------------------------------ 1.75/0.72 % (1415303)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1942682814:i=42:hud=10:rtra=on_1798 on theBenchmark for (1798ds/42Mi) 1.75/0.72 % (1415305)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 1.75/0.72 % (1415305)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1355734866:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1797 on theBenchmark for (1797ds/7Mi) 1.75/0.72 % (1415305)Instruction limit reached! 1.75/0.72 % (1415305)------------------------------ 1.75/0.72 % (1415305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.72 % (1415305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.72 % (1415305)CaDiCaL version: 2.1.3 1.75/0.78 % (1415305)Termination reason: Instruction limit 1.75/0.78 % (1415305)Termination phase: Property scanning 1.75/0.78 % (1415305)Time elapsed: 0.003 s 1.75/0.78 % (1415305)Peak memory usage: 10 MB 1.75/0.78 % (1415305)Instructions burned: 7 (million) 1.75/0.78 % (1415307)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3594914348:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_1797 on theBenchmark for (1797ds/181Mi) 1.75/0.78 % (1415307)Refutation not found, incomplete strategy 1.75/0.78 % (1415307)------------------------------ 1.75/0.78 % (1415307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.78 % (1415307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.78 % (1415307)CaDiCaL version: 2.1.3 1.75/0.78 % (1415307)Termination reason: Refutation not found, incomplete strategy 1.75/0.78 % (1415307)Time elapsed: 0.004 s 1.75/0.78 % (1415307)Peak memory usage: 12 MB 1.75/0.78 % (1415307)Instructions burned: 6 (million) 1.75/0.78 % (1415307)------------------------------ 1.75/0.78 % (1415307)------------------------------ 1.75/0.78 % (1415303)Instruction limit reached! 1.75/0.78 % (1415303)------------------------------ 1.75/0.78 % (1415303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.78 % (1415303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.78 % (1415303)CaDiCaL version: 2.1.3 1.75/0.78 % (1415303)Termination reason: Instruction limit 1.75/0.78 % (1415303)Termination phase: Saturation 1.75/0.78 % (1415303)Time elapsed: 0.019 s 1.75/0.78 % (1415303)Peak memory usage: 11 MB 1.75/0.78 % (1415303)Instructions burned: 44 (million) 1.75/0.78 % (1415310)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1615262465:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_1797 on theBenchmark for (1797ds/169Mi) 1.75/0.78 % (1415240)Instruction limit reached! 1.75/0.78 % (1415240)------------------------------ 1.75/0.78 % (1415240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.78 % (1415240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.78 % (1415240)CaDiCaL version: 2.1.3 1.75/0.78 % (1415240)Termination reason: Instruction limit 1.75/0.78 % (1415240)Termination phase: Saturation 1.75/0.78 % (1415240)Time elapsed: 0.212 s 1.75/0.78 % (1415240)Peak memory usage: 13 MB 1.75/0.78 % (1415240)Instructions burned: 637 (million) 1.75/0.78 % (1415312)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on 1.75/0.78 % (1415312)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1760168313:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_1797 on theBenchmark for (1797ds/6Mi) 1.75/0.78 % (1415313)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=249520979:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1797 on theBenchmark for (1797ds/22Mi) 1.75/0.78 % (1415310)Refutation not found, incomplete strategy 1.75/0.78 % (1415310)------------------------------ 1.75/0.78 % (1415310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.78 % (1415310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.78 % (1415310)CaDiCaL version: 2.1.3 1.75/0.78 % (1415310)Termination reason: Refutation not found, incomplete strategy 1.75/0.78 % (1415310)Time elapsed: 0.009 s 1.75/0.78 % (1415310)Peak memory usage: 12 MB 1.75/0.78 % (1415310)Instructions burned: 20 (million) 1.75/0.78 % (1415312)Instruction limit reached! 1.75/0.78 % (1415312)------------------------------ 1.75/0.78 % (1415312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.75/0.78 % (1415312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.75/0.78 % (1415312)CaDiCaL version: 2.1.3 1.75/0.78 % (1415312)Termination reason: Instruction limit 1.75/0.78 % (1415312)Termination phase: Property scanning 1.75/0.78 % (1415312)Time elapsed: 0.003 s 1.75/0.78 % (1415312)Peak memory usage: 10 MB 1.75/0.78 % (1415312)Instructions burned: 7 (million) 1.75/0.78 % (1415310)------------------------------ 1.75/0.78 % (1415310)------------------------------ 1.75/0.78 % (1415299)Instruction limit reached! 1.75/0.78 % (1415299)------------------------------ 1.75/0.78 % (1415299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.85 % (1415299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.85 % (1415299)CaDiCaL version: 2.1.3 1.99/0.85 % (1415299)Termination reason: Instruction limit 1.99/0.85 % (1415299)Termination phase: Saturation 1.99/0.85 % (1415299)Time elapsed: 0.060 s 1.99/0.85 % (1415299)Peak memory usage: 13 MB 1.99/0.85 % (1415299)Instructions burned: 144 (million) 1.99/0.85 % (1415313)Instruction limit reached! 1.99/0.85 % (1415313)------------------------------ 1.99/0.85 % (1415313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.85 % (1415313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.85 % (1415313)CaDiCaL version: 2.1.3 1.99/0.85 % (1415313)Termination reason: Instruction limit 1.99/0.85 % (1415313)Termination phase: Saturation 1.99/0.85 % (1415313)Time elapsed: 0.011 s 1.99/0.85 % (1415313)Peak memory usage: 12 MB 1.99/0.85 % (1415313)Instructions burned: 23 (million) 1.99/0.85 % (1415315)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2987056953:i=19:add=on:rtra=on_1797 on theBenchmark for (1797ds/19Mi) 1.99/0.85 % (1415273)Instruction limit reached! 1.99/0.85 % (1415273)------------------------------ 1.99/0.85 % (1415273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.85 % (1415273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.85 % (1415273)CaDiCaL version: 2.1.3 1.99/0.85 % (1415273)Termination reason: Instruction limit 1.99/0.85 % (1415273)Termination phase: Saturation 1.99/0.85 % (1415273)Time elapsed: 0.153 s 1.99/0.85 % (1415273)Peak memory usage: 14 MB 1.99/0.85 % (1415273)Instructions burned: 328 (million) 1.99/0.85 % (1415318)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2292974603:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/316Mi) 1.99/0.85 % (1415319)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2083435672:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_1797 on theBenchmark for (1797ds/853Mi) 1.99/0.85 % (1415315)Instruction limit reached! 1.99/0.85 % (1415315)------------------------------ 1.99/0.85 % (1415315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.85 % (1415315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.85 % (1415315)CaDiCaL version: 2.1.3 1.99/0.85 % (1415315)Termination reason: Instruction limit 1.99/0.85 % (1415315)Termination phase: Saturation 1.99/0.85 % (1415315)Time elapsed: 0.008 s 1.99/0.85 % (1415315)Peak memory usage: 12 MB 1.99/0.85 % (1415315)Instructions burned: 20 (million) 1.99/0.85 % (1415320)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=147528781:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_1797 on theBenchmark for (1797ds/45Mi) 1.99/0.85 % (1415321)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1383690651:i=480:rtra=on_1797 on theBenchmark for (1797ds/480Mi) 1.99/0.85 % (1415321)Refutation not found, incomplete strategy 1.99/0.85 % (1415321)------------------------------ 1.99/0.85 % (1415321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.85 % (1415321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.85 % (1415321)CaDiCaL version: 2.1.3 1.99/0.85 % (1415321)Termination reason: Refutation not found, incomplete strategy 1.99/0.85 % (1415321)Time elapsed: 0.004 s 1.99/0.85 % (1415321)Peak memory usage: 12 MB 1.99/0.85 % (1415321)Instructions burned: 8 (million) 1.99/0.85 % (1415321)------------------------------ 1.99/0.85 % (1415321)------------------------------ 1.99/0.85 % (1415326)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 1.99/0.85 % (1415323)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2506877099:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_1797 on theBenchmark for (1797ds/21Mi) 1.99/0.85 % (1415326)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2706454192:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/200Mi) 1.99/0.90 % (1415320)Instruction limit reached! 1.99/0.90 % (1415320)------------------------------ 1.99/0.90 % (1415320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.90 % (1415320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.90 % (1415320)CaDiCaL version: 2.1.3 1.99/0.90 % (1415320)Termination reason: Instruction limit 1.99/0.90 % (1415320)Termination phase: Saturation 1.99/0.90 % (1415320)Time elapsed: 0.020 s 1.99/0.90 % (1415320)Peak memory usage: 12 MB 1.99/0.90 % (1415320)Instructions burned: 47 (million) 1.99/0.90 % (1415323)Instruction limit reached! 1.99/0.90 % (1415323)------------------------------ 1.99/0.90 % (1415323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.90 % (1415323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.90 % (1415323)CaDiCaL version: 2.1.3 1.99/0.90 % (1415323)Termination reason: Instruction limit 1.99/0.90 % (1415323)Termination phase: Saturation 1.99/0.90 % (1415323)Time elapsed: 0.010 s 1.99/0.90 % (1415323)Peak memory usage: 11 MB 1.99/0.90 % (1415323)Instructions burned: 23 (million) 1.99/0.90 % (1415329)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1236706635:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_1797 on theBenchmark for (1797ds/13Mi) 1.99/0.90 % (1415329)Instruction limit reached! 1.99/0.90 % (1415329)------------------------------ 1.99/0.90 % (1415329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.90 % (1415329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.90 % (1415329)CaDiCaL version: 2.1.3 1.99/0.90 % (1415329)Termination reason: Instruction limit 1.99/0.90 % (1415329)Termination phase: Saturation 1.99/0.90 % (1415329)Time elapsed: 0.008 s 1.99/0.90 % (1415329)Peak memory usage: 12 MB 1.99/0.90 % (1415329)Instructions burned: 14 (million) 1.99/0.90 % (1415332)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1550912113:i=66:s2at=3:nm=2:rtra=on:rawr=on_1796 on theBenchmark for (1796ds/66Mi) 1.99/0.90 % (1415333)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2229597903:i=51:fsr=off:rtra=on_1796 on theBenchmark for (1796ds/51Mi) 1.99/0.90 % (1415335)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=56540620:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_1796 on theBenchmark for (1796ds/31Mi) 1.99/0.90 % (1415333)Instruction limit reached! 1.99/0.90 % (1415333)------------------------------ 1.99/0.90 % (1415333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.90 % (1415333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.90 % (1415333)CaDiCaL version: 2.1.3 1.99/0.90 % (1415333)Termination reason: Instruction limit 1.99/0.90 % (1415333)Termination phase: Saturation 1.99/0.90 % (1415333)Time elapsed: 0.022 s 1.99/0.90 % (1415333)Peak memory usage: 12 MB 1.99/0.90 % (1415333)Instructions burned: 51 (million) 1.99/0.90 % (1415332)Instruction limit reached! 1.99/0.90 % (1415332)------------------------------ 1.99/0.90 % (1415332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.90 % (1415332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.90 % (1415332)CaDiCaL version: 2.1.3 1.99/0.90 % (1415332)Termination reason: Instruction limit 1.99/0.90 % (1415332)Termination phase: Saturation 1.99/0.90 % (1415332)Time elapsed: 0.027 s 1.99/0.90 % (1415332)Peak memory usage: 12 MB 1.99/0.90 % (1415332)Instructions burned: 67 (million) 1.99/0.90 % (1415335)Instruction limit reached! 1.99/0.90 % (1415335)------------------------------ 1.99/0.90 % (1415335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.99/0.90 % (1415335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.99/0.90 % (1415335)CaDiCaL version: 2.1.3 1.99/0.90 % (1415335)Termination reason: Instruction limit 1.99/0.90 % (1415335)Termination phase: Saturation 1.99/0.90 % (1415335)Time elapsed: 0.014 s 1.99/0.90 % (1415335)Peak memory usage: 12 MB 1.99/0.90 % (1415335)Instructions burned: 32 (million) 1.99/0.90 % (1415339)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=430076239:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_1796 on theBenchmark for (1796ds/137Mi) 2.96/0.99 % (1415340)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=519259075:cond=on:i=34:hud=10:nm=10:rtra=on_1796 on theBenchmark for (1796ds/34Mi) 2.96/0.99 % (1415341)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4266586911:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_1796 on theBenchmark for (1796ds/67Mi) 2.96/0.99 % (1415326)Instruction limit reached! 2.96/0.99 % (1415326)------------------------------ 2.96/0.99 % (1415326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.96/0.99 % (1415326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.96/0.99 % (1415326)CaDiCaL version: 2.1.3 2.96/0.99 % (1415326)Termination reason: Instruction limit 2.96/0.99 % (1415326)Termination phase: Saturation 2.96/0.99 % (1415326)Time elapsed: 0.082 s 2.96/0.99 % (1415326)Peak memory usage: 12 MB 2.96/0.99 % (1415326)Instructions burned: 202 (million) 2.96/0.99 % (1415340)Instruction limit reached! 2.96/0.99 % (1415340)------------------------------ 2.96/0.99 % (1415340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.96/0.99 % (1415340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.96/0.99 % (1415340)CaDiCaL version: 2.1.3 2.96/0.99 % (1415340)Termination reason: Instruction limit 2.96/0.99 % (1415340)Termination phase: Saturation 2.96/0.99 % (1415340)Time elapsed: 0.016 s 2.96/0.99 % (1415340)Peak memory usage: 12 MB 2.96/0.99 % (1415340)Instructions burned: 36 (million) 2.96/0.99 % (1415345)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off 2.96/0.99 % (1415345)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4231068704:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_1796 on theBenchmark for (1796ds/180Mi) 2.96/0.99 % (1415341)Instruction limit reached! 2.96/0.99 % (1415341)------------------------------ 2.96/0.99 % (1415341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.96/0.99 % (1415341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.96/0.99 % (1415341)CaDiCaL version: 2.1.3 2.96/0.99 % (1415341)Termination reason: Instruction limit 2.96/0.99 % (1415341)Termination phase: Saturation 2.96/0.99 % (1415341)Time elapsed: 0.030 s 2.96/0.99 % (1415341)Peak memory usage: 12 MB 2.96/0.99 % (1415341)Instructions burned: 68 (million) 2.96/0.99 % (1415346)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1038073020:st=2:i=246:sd=3:rtra=on:ss=axioms_1796 on theBenchmark for (1796ds/246Mi) 2.96/0.99 % (1415346)Refutation not found, incomplete strategy 2.96/0.99 % (1415346)------------------------------ 2.96/0.99 % (1415346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.96/0.99 % (1415346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.96/0.99 % (1415346)CaDiCaL version: 2.1.3 2.96/0.99 % (1415346)Termination reason: Refutation not found, incomplete strategy 2.96/0.99 % (1415346)Time elapsed: 0.007 s 2.96/0.99 % (1415346)Peak memory usage: 12 MB 2.96/0.99 % (1415346)Instructions burned: 14 (million) 2.96/0.99 % (1415346)------------------------------ 2.96/0.99 % (1415346)------------------------------ 2.96/0.99 % (1415348)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2676866680:cond=on:i=96:bd=all:rtra=on_1796 on theBenchmark for (1796ds/96Mi) 2.96/0.99 % (1415350)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2031880731:i=427:sd=1:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/427Mi) 2.96/0.99 % (1415350)Refutation not found, incomplete strategy 2.96/0.99 % (1415350)------------------------------ 2.96/0.99 % (1415350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.96/0.99 % (1415350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.96/0.99 % (1415350)CaDiCaL version: 2.1.3 2.96/0.99 % (1415350)Termination reason: Refutation not found, incomplete strategy 2.96/0.99 % (1415350)Time elapsed: 0.003 s 2.96/0.99 % (1415350)Peak memory usage: 12 MB 2.96/0.99 % (1415350)Instructions burned: 6 (million) 2.96/0.99 % (1415339)Instruction limit reached! 2.96/0.99 % (1415339)------------------------------ 2.96/0.99 % (1415339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.96/0.99 % (1415339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.08 % (1415339)CaDiCaL version: 2.1.3 4.39/1.08 % (1415339)Termination reason: Instruction limit 4.39/1.08 % (1415339)Termination phase: Saturation 4.39/1.08 % (1415339)Time elapsed: 0.070 s 4.39/1.08 % (1415339)Peak memory usage: 13 MB 4.39/1.08 % (1415339)Instructions burned: 137 (million) 4.39/1.08 % (1415350)------------------------------ 4.39/1.08 % (1415350)------------------------------ 4.39/1.08 % (1415296)Instruction limit reached! 4.39/1.08 % (1415296)------------------------------ 4.39/1.08 % (1415296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.39/1.08 % (1415296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.08 % (1415296)CaDiCaL version: 2.1.3 4.39/1.08 % (1415296)Termination reason: Instruction limit 4.39/1.08 % (1415296)Termination phase: Saturation 4.39/1.08 % (1415296)Time elapsed: 0.253 s 4.39/1.08 % (1415296)Peak memory usage: 14 MB 4.39/1.08 % (1415296)Instructions burned: 1244 (million) 4.39/1.08 % (1415318)Instruction limit reached! 4.39/1.08 % (1415318)------------------------------ 4.39/1.08 % (1415318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.39/1.08 % (1415318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.08 % (1415318)CaDiCaL version: 2.1.3 4.39/1.08 % (1415318)Termination reason: Instruction limit 4.39/1.08 % (1415318)Termination phase: Saturation 4.39/1.08 % (1415318)Time elapsed: 0.168 s 4.39/1.08 % (1415318)Peak memory usage: 15 MB 4.39/1.08 % (1415318)Instructions burned: 316 (million) 4.39/1.08 % (1415355)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3242686963:st=1.5:i=130:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/130Mi) 4.39/1.08 % (1415353)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2128893447:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/874Mi) 4.39/1.08 % (1415354)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1910084343:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/515Mi) 4.39/1.08 % (1415348)Instruction limit reached! 4.39/1.08 % (1415348)------------------------------ 4.39/1.08 % (1415348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.39/1.08 % (1415348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.08 % (1415348)CaDiCaL version: 2.1.3 4.39/1.08 % (1415348)Termination reason: Instruction limit 4.39/1.08 % (1415348)Termination phase: Saturation 4.39/1.08 % (1415348)Time elapsed: 0.038 s 4.39/1.08 % (1415348)Peak memory usage: 11 MB 4.39/1.08 % (1415348)Instructions burned: 98 (million) 4.39/1.08 % (1415355)Refutation not found, incomplete strategy 4.39/1.08 % (1415355)------------------------------ 4.39/1.08 % (1415355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.39/1.08 % (1415355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.08 % (1415355)CaDiCaL version: 2.1.3 4.39/1.08 % (1415355)Termination reason: Refutation not found, incomplete strategy 4.39/1.08 % (1415355)Time elapsed: 0.007 s 4.39/1.08 % (1415355)Peak memory usage: 13 MB 4.39/1.08 % (1415355)Instructions burned: 29 (million) 4.39/1.08 % (1415355)------------------------------ 4.39/1.08 % (1415355)------------------------------ 4.39/1.08 % (1415356)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1016411556:i=44:ep=R:rtra=on:ntd=on_1795 on theBenchmark for (1795ds/44Mi) 4.39/1.08 % (1415361)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=348794400:i=450:rtra=on:ixr=off:ntd=on_1795 on theBenchmark for (1795ds/450Mi) 4.39/1.08 % (1415345)Instruction limit reached! 4.39/1.08 % (1415345)------------------------------ 4.39/1.08 % (1415345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.39/1.08 % (1415345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.39/1.08 % (1415345)CaDiCaL version: 2.1.3 4.39/1.08 % (1415345)Termination reason: Instruction limit 4.39/1.08 % (1415345)Termination phase: Saturation 4.39/1.08 % (1415345)Time elapsed: 0.076 s 4.39/1.08 % (1415345)Peak memory usage: 12 MB 4.39/1.08 % (1415345)Instructions burned: 181 (million) 4.39/1.08 % (1415360)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3285196574:s2a=on:i=571:nm=16:rtra=on_1795 on theBenchmark for (1795ds/571Mi) 4.93/1.19 % (1415360)Refutation not found, incomplete strategy 4.93/1.19 % (1415360)------------------------------ 4.93/1.19 % (1415360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.19 % (1415360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.19 % (1415360)CaDiCaL version: 2.1.3 4.93/1.19 % (1415360)Termination reason: Refutation not found, incomplete strategy 4.93/1.19 % (1415360)Time elapsed: 0.005 s 4.93/1.19 % (1415360)Peak memory usage: 12 MB 4.93/1.19 % (1415360)Instructions burned: 8 (million) 4.93/1.19 % (1415360)------------------------------ 4.93/1.19 % (1415360)------------------------------ 4.93/1.19 % (1415356)Instruction limit reached! 4.93/1.19 % (1415356)------------------------------ 4.93/1.19 % (1415356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.19 % (1415356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.19 % (1415356)CaDiCaL version: 2.1.3 4.93/1.19 % (1415356)Termination reason: Instruction limit 4.93/1.19 % (1415356)Termination phase: Saturation 4.93/1.19 % (1415356)Time elapsed: 0.020 s 4.93/1.19 % (1415356)Peak memory usage: 12 MB 4.93/1.19 % (1415356)Instructions burned: 44 (million) 4.93/1.19 % (1415364)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3576191676:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_1795 on theBenchmark for (1795ds/95Mi) 4.93/1.19 % (1415366)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3252165475:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_1795 on theBenchmark for (1795ds/65Mi) 4.93/1.19 % (1415367)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2599268281:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_1795 on theBenchmark for (1795ds/105Mi) 4.93/1.19 % (1415366)Instruction limit reached! 4.93/1.19 % (1415366)------------------------------ 4.93/1.19 % (1415366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.19 % (1415366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.19 % (1415366)CaDiCaL version: 2.1.3 4.93/1.19 % (1415366)Termination reason: Instruction limit 4.93/1.19 % (1415366)Termination phase: Saturation 4.93/1.19 % (1415366)Time elapsed: 0.031 s 4.93/1.19 % (1415366)Peak memory usage: 12 MB 4.93/1.19 % (1415366)Instructions burned: 66 (million) 4.93/1.19 % (1415364)Instruction limit reached! 4.93/1.19 % (1415364)------------------------------ 4.93/1.19 % (1415364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.19 % (1415364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.19 % (1415364)CaDiCaL version: 2.1.3 4.93/1.19 % (1415364)Termination reason: Instruction limit 4.93/1.19 % (1415364)Termination phase: Saturation 4.93/1.19 % (1415364)Time elapsed: 0.040 s 4.93/1.19 % (1415364)Peak memory usage: 12 MB 4.93/1.19 % (1415364)Instructions burned: 95 (million) 4.93/1.19 % (1415371)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=1778031904:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_1794 on theBenchmark for (1794ds/5755Mi) 4.93/1.19 % (1415367)Instruction limit reached! 4.93/1.19 % (1415367)------------------------------ 4.93/1.19 % (1415367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.19 % (1415367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.19 % (1415367)CaDiCaL version: 2.1.3 4.93/1.19 % (1415367)Termination reason: Instruction limit 4.93/1.19 % (1415367)Termination phase: Saturation 4.93/1.19 % (1415367)Time elapsed: 0.047 s 4.93/1.19 % (1415367)Peak memory usage: 12 MB 4.93/1.19 % (1415367)Instructions burned: 105 (million) 4.93/1.19 % (1415372)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1333518100:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_1794 on theBenchmark for (1794ds/375Mi) 4.93/1.19 % (1415374)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1078261535:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1794 on theBenchmark for (1794ds/495Mi) 5.24/1.28 % (1415361)Instruction limit reached! 5.24/1.28 % (1415361)------------------------------ 5.24/1.28 % (1415361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.24/1.28 % (1415361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.24/1.28 % (1415361)CaDiCaL version: 2.1.3 5.24/1.28 % (1415361)Termination reason: Instruction limit 5.24/1.28 % (1415361)Termination phase: Saturation 5.24/1.28 % (1415361)Time elapsed: 0.109 s 5.24/1.28 % (1415361)Peak memory usage: 16 MB 5.24/1.28 % (1415361)Instructions burned: 450 (million) 5.24/1.28 % (1415377)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=833027495:cond=on:i=34:hud=10:nm=10:rtra=on_1794 on theBenchmark for (1794ds/34Mi) 5.24/1.28 % (1415377)Instruction limit reached! 5.24/1.28 % (1415377)------------------------------ 5.24/1.28 % (1415377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.24/1.28 % (1415377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.24/1.28 % (1415377)CaDiCaL version: 2.1.3 5.24/1.28 % (1415377)Termination reason: Instruction limit 5.24/1.28 % (1415377)Termination phase: Saturation 5.24/1.28 % (1415377)Time elapsed: 0.009 s 5.24/1.28 % (1415377)Peak memory usage: 12 MB 5.24/1.28 % (1415377)Instructions burned: 38 (million) 5.24/1.28 % (1415379)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4002513956:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_1794 on theBenchmark for (1794ds/91Mi) 5.24/1.28 % (1415379)Instruction limit reached! 5.24/1.28 % (1415379)------------------------------ 5.24/1.28 % (1415379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.24/1.28 % (1415379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.24/1.28 % (1415379)CaDiCaL version: 2.1.3 5.24/1.28 % (1415379)Termination reason: Instruction limit 5.24/1.28 % (1415379)Termination phase: Saturation 5.24/1.28 % (1415379)Time elapsed: 0.023 s 5.24/1.28 % (1415379)Peak memory usage: 13 MB 5.24/1.28 % (1415379)Instructions burned: 92 (million) 5.24/1.28 % (1415354)Instruction limit reached! 5.24/1.28 % (1415354)------------------------------ 5.24/1.28 % (1415354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.24/1.28 % (1415354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.24/1.28 % (1415354)CaDiCaL version: 2.1.3 5.24/1.28 % (1415354)Termination reason: Instruction limit 5.24/1.28 % (1415354)Termination phase: Saturation 5.24/1.28 % (1415354)Time elapsed: 0.180 s 5.24/1.28 % (1415354)Peak memory usage: 13 MB 5.24/1.28 % (1415354)Instructions burned: 516 (million) 5.24/1.28 % (1415381)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3207405279:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_1793 on theBenchmark for (1793ds/66Mi) 5.24/1.28 % (1415381)Refutation not found, incomplete strategy 5.24/1.28 % (1415381)------------------------------ 5.24/1.28 % (1415381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.24/1.28 % (1415381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.24/1.28 % (1415381)CaDiCaL version: 2.1.3 5.24/1.28 % (1415381)Termination reason: Refutation not found, incomplete strategy 5.24/1.28 % (1415381)Time elapsed: 0.001 s 5.24/1.28 % (1415381)Peak memory usage: 12 MB 5.24/1.28 % (1415381)Instructions burned: 6 (million) 5.24/1.28 % (1415381)------------------------------ 5.24/1.28 % (1415381)------------------------------ 5.24/1.28 % (1415382)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4197884929:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1793 on theBenchmark for (1793ds/22Mi) 5.24/1.28 % (1415384)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1989893966:i=338:bd=all:ins=4:rtra=on_1793 on theBenchmark for (1793ds/338Mi) 5.24/1.28 % (1415382)Instruction limit reached! 5.24/1.28 % (1415382)------------------------------ 5.24/1.28 % (1415382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.24/1.28 % (1415382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.24/1.28 % (1415382)CaDiCaL version: 2.1.3 5.24/1.28 % (1415382)Termination reason: Instruction limit 5.24/1.28 % (1415382)Termination phase: Saturation 5.24/1.28 % (1415382)Time elapsed: 0.010 s 5.79/1.32 % (1415382)Peak memory usage: 12 MB 5.79/1.32 % (1415382)Instructions burned: 23 (million) 5.79/1.32 % (1415387)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1530839108:i=28:sd=1:rtra=on:ss=axioms:sgt=64_1793 on theBenchmark for (1793ds/28Mi) 5.79/1.32 % (1415387)Instruction limit reached! 5.79/1.32 % (1415387)------------------------------ 5.79/1.32 % (1415387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.79/1.32 % (1415387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.79/1.32 % (1415387)CaDiCaL version: 2.1.3 5.79/1.32 % (1415387)Termination reason: Instruction limit 5.79/1.32 % (1415387)Termination phase: Saturation 5.79/1.32 % (1415387)Time elapsed: 0.012 s 5.79/1.32 % (1415387)Peak memory usage: 11 MB 5.79/1.32 % (1415387)Instructions burned: 28 (million) 5.79/1.32 % (1415319)Instruction limit reached! 5.79/1.32 % (1415319)------------------------------ 5.79/1.32 % (1415319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.79/1.32 % (1415319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.79/1.32 % (1415319)CaDiCaL version: 2.1.3 5.79/1.32 % (1415319)Termination reason: Instruction limit 5.79/1.32 % (1415319)Termination phase: Saturation 5.79/1.32 % (1415319)Time elapsed: 0.416 s 5.79/1.32 % (1415319)Peak memory usage: 15 MB 5.79/1.32 % (1415319)Instructions burned: 853 (million) 5.79/1.32 % (1415389)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on 5.79/1.32 % (1415389)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1599911354:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_1793 on theBenchmark for (1793ds/137Mi) 5.79/1.32 % (1415390)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=1077393234:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_1793 on theBenchmark for (1793ds/340Mi) 5.79/1.32 % (1415372)Instruction limit reached! 5.79/1.32 % (1415372)------------------------------ 5.79/1.32 % (1415372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.79/1.32 % (1415372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.79/1.32 % (1415372)CaDiCaL version: 2.1.3 5.79/1.32 % (1415372)Termination reason: Instruction limit 5.79/1.32 % (1415372)Termination phase: Saturation 5.79/1.32 % (1415372)Time elapsed: 0.171 s 5.79/1.32 % (1415372)Peak memory usage: 13 MB 5.79/1.32 % (1415372)Instructions burned: 376 (million) 5.79/1.32 % (1415393)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3326059980:i=227:sd=1:bd=all:rtra=on:ss=axioms_1792 on theBenchmark for (1792ds/227Mi) 5.79/1.32 % (1415393)Refutation not found, incomplete strategy 5.79/1.32 % (1415393)------------------------------ 5.79/1.32 % (1415393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.79/1.32 % (1415393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.79/1.32 % (1415393)CaDiCaL version: 2.1.3 5.79/1.32 % (1415393)Termination reason: Refutation not found, incomplete strategy 5.79/1.32 % (1415393)Time elapsed: 0.003 s 5.79/1.32 % (1415393)Peak memory usage: 12 MB 5.79/1.32 % (1415393)Instructions burned: 6 (million) 5.79/1.32 % (1415393)------------------------------ 5.79/1.32 % (1415393)------------------------------ 5.79/1.32 % (1415384)Instruction limit reached! 5.79/1.32 % (1415384)------------------------------ 5.79/1.32 % (1415384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.79/1.32 % (1415384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.79/1.32 % (1415384)CaDiCaL version: 2.1.3 5.79/1.32 % (1415384)Termination reason: Instruction limit 5.79/1.32 % (1415384)Termination phase: Saturation 5.79/1.32 % (1415384)Time elapsed: 0.096 s 5.79/1.32 % (1415384)Peak memory usage: 16 MB 5.79/1.32 % (1415384)Instructions burned: 342 (million) 5.79/1.32 % (1415396)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2422582373:i=116:ep=RSTC:rtra=on:ntd=on_1792 on theBenchmark for (1792ds/116Mi) 5.79/1.32 % (1415395)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on 5.79/1.32 % (1415395)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=758528648:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_1792 on theBenchmark for (1792ds/373Mi) 6.23/1.48 % (1415389)Instruction limit reached! 6.23/1.48 % (1415389)------------------------------ 6.23/1.48 % (1415389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.23/1.48 % (1415389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.23/1.48 % (1415389)CaDiCaL version: 2.1.3 6.23/1.48 % (1415389)Termination reason: Instruction limit 6.23/1.48 % (1415389)Termination phase: Saturation 6.23/1.48 % (1415389)Time elapsed: 0.056 s 6.23/1.48 % (1415389)Peak memory usage: 12 MB 6.23/1.48 % (1415389)Instructions burned: 139 (million) 6.23/1.48 % (1415399)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4188994286:i=575:rtra=on_1792 on theBenchmark for (1792ds/575Mi) 6.23/1.48 % (1415396)Instruction limit reached! 6.23/1.48 % (1415396)------------------------------ 6.23/1.48 % (1415396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.23/1.48 % (1415396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.23/1.48 % (1415396)CaDiCaL version: 2.1.3 6.23/1.48 % (1415396)Termination reason: Instruction limit 6.23/1.48 % (1415396)Termination phase: Saturation 6.23/1.48 % (1415396)Time elapsed: 0.027 s 6.23/1.48 % (1415396)Peak memory usage: 13 MB 6.23/1.48 % (1415396)Instructions burned: 117 (million) 6.23/1.48 % (1415401)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2536505580:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1792 on theBenchmark for (1792ds/270Mi) 6.23/1.48 % (1415374)Instruction limit reached! 6.23/1.48 % (1415374)------------------------------ 6.23/1.48 % (1415374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.23/1.48 % (1415374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.23/1.48 % (1415374)CaDiCaL version: 2.1.3 6.23/1.48 % (1415374)Termination reason: Instruction limit 6.23/1.48 % (1415374)Termination phase: Saturation 6.23/1.48 % (1415374)Time elapsed: 0.236 s 6.23/1.48 % (1415374)Peak memory usage: 14 MB 6.23/1.48 % (1415374)Instructions burned: 495 (million) 6.23/1.48 % (1415403)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1103794213:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1791 on theBenchmark for (1791ds/9840Mi) 6.23/1.48 % (1415353)Instruction limit reached! 6.23/1.48 % (1415353)------------------------------ 6.23/1.48 % (1415353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.23/1.48 % (1415353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.23/1.48 % (1415353)CaDiCaL version: 2.1.3 6.23/1.48 % (1415353)Termination reason: Instruction limit 6.23/1.48 % (1415353)Termination phase: Saturation 6.23/1.48 % (1415353)Time elapsed: 0.381 s 6.23/1.48 % (1415353)Peak memory usage: 16 MB 6.23/1.48 % (1415353)Instructions burned: 874 (million) 6.23/1.48 % (1415390)Instruction limit reached! 6.23/1.48 % (1415390)------------------------------ 6.23/1.48 % (1415390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.23/1.48 % (1415390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.23/1.48 % (1415390)CaDiCaL version: 2.1.3 6.23/1.48 % (1415390)Termination reason: Instruction limit 6.23/1.48 % (1415390)Termination phase: Saturation 6.23/1.48 % (1415390)Time elapsed: 0.137 s 6.23/1.48 % (1415390)Peak memory usage: 13 MB 6.23/1.48 % (1415390)Instructions burned: 341 (million) 6.23/1.48 % (1415405)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3926965755:i=421:rtra=on:ss=axioms_1791 on theBenchmark for (1791ds/421Mi) 6.23/1.48 % (1415405)Refutation not found, incomplete strategy 6.23/1.48 % (1415405)------------------------------ 6.23/1.48 % (1415405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.23/1.48 % (1415405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.23/1.48 % (1415405)CaDiCaL version: 2.1.3 6.23/1.48 % (1415405)Termination reason: Refutation not found, incomplete strategy 6.23/1.48 % (1415405)Time elapsed: 0.003 s 6.23/1.48 % (1415405)Peak memory usage: 12 MB 6.23/1.48 % (1415405)Instructions burned: 6 (million) 6.23/1.48 % (1415401)Instruction limit reached! 7.10/1.64 % (1415401)------------------------------ 7.10/1.64 % (1415401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.10/1.64 % (1415401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.10/1.64 % (1415401)CaDiCaL version: 2.1.3 7.10/1.64 % (1415401)Termination reason: Instruction limit 7.10/1.64 % (1415401)Termination phase: Saturation 7.10/1.64 % (1415401)Time elapsed: 0.058 s 7.10/1.64 % (1415401)Peak memory usage: 12 MB 7.10/1.64 % (1415401)Instructions burned: 273 (million) 7.10/1.64 % (1415405)------------------------------ 7.10/1.64 % (1415405)------------------------------ 7.10/1.64 % (1415406)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 7.10/1.64 % (1415408)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3964597691:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_1791 on theBenchmark for (1791ds/31Mi) 7.10/1.64 % (1415406)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1865183074:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_1791 on theBenchmark for (1791ds/270Mi) 7.10/1.64 % (1415409)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 7.10/1.64 % (1415409)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 7.10/1.64 % (1415408)Instruction limit reached! 7.10/1.64 % (1415408)------------------------------ 7.10/1.64 % (1415408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.10/1.64 % (1415408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.10/1.64 % (1415408)CaDiCaL version: 2.1.3 7.10/1.64 % (1415408)Termination reason: Instruction limit 7.10/1.64 % (1415408)Termination phase: Saturation 7.10/1.64 % (1415408)Time elapsed: 0.007 s 7.10/1.64 % (1415408)Peak memory usage: 12 MB 7.10/1.64 % (1415408)Instructions burned: 33 (million) 7.10/1.64 % (1415409)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1125253412:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_1791 on theBenchmark for (1791ds/1440Mi) 7.10/1.64 % (1415406)Refutation not found, incomplete strategy 7.10/1.64 % (1415406)------------------------------ 7.10/1.64 % (1415406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.10/1.64 % (1415406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.10/1.64 % (1415406)CaDiCaL version: 2.1.3 7.10/1.64 % (1415406)Termination reason: Refutation not found, incomplete strategy 7.10/1.64 % (1415406)Time elapsed: 0.011 s 7.10/1.64 % (1415406)Peak memory usage: 12 MB 7.10/1.64 % (1415406)Instructions burned: 26 (million) 7.10/1.64 % (1415406)------------------------------ 7.10/1.64 % (1415406)------------------------------ 7.10/1.64 % (1415412)dis+10_2_sil=128000:si=on:random_seed=3261353203:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_1791 on theBenchmark for (1791ds/339Mi) 7.10/1.64 % (1415412)Refutation not found, incomplete strategy 7.10/1.64 % (1415412)------------------------------ 7.10/1.64 % (1415412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.10/1.64 % (1415412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.10/1.64 % (1415412)CaDiCaL version: 2.1.3 7.10/1.64 % (1415412)Termination reason: Refutation not found, incomplete strategy 7.10/1.64 % (1415412)Time elapsed: 0.001 s 7.10/1.64 % (1415412)Peak memory usage: 12 MB 7.10/1.64 % (1415412)Instructions burned: 6 (million) 7.10/1.64 % (1415412)------------------------------ 7.10/1.64 % (1415412)------------------------------ 7.10/1.64 % (1415416)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1322288053:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_1791 on theBenchmark for (1791ds/122Mi) 7.10/1.64 % (1415414)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2787745394:i=111:add=on:fgj=on:rtra=on:fdi=1024_1791 on theBenchmark for (1791ds/111Mi) 7.77/1.79 % (1415416)Refutation not found, incomplete strategy 7.77/1.79 % (1415416)------------------------------ 7.77/1.79 % (1415416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.77/1.79 % (1415416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.77/1.79 % (1415416)CaDiCaL version: 2.1.3 7.77/1.79 % (1415416)Termination reason: Refutation not found, incomplete strategy 7.77/1.79 % (1415416)Time elapsed: 0.004 s 7.77/1.79 % (1415416)Peak memory usage: 12 MB 7.77/1.79 % (1415416)Instructions burned: 20 (million) 7.77/1.79 % (1415416)------------------------------ 7.77/1.79 % (1415416)------------------------------ 7.77/1.79 % (1415419)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=4188378100:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_1790 on theBenchmark for (1790ds/136Mi) 7.77/1.79 % (1415395)Instruction limit reached! 7.77/1.79 % (1415395)------------------------------ 7.77/1.79 % (1415395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.77/1.79 % (1415395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.77/1.79 % (1415395)CaDiCaL version: 2.1.3 7.77/1.79 % (1415395)Termination reason: Instruction limit 7.77/1.79 % (1415395)Termination phase: Saturation 7.77/1.79 % (1415395)Time elapsed: 0.153 s 7.77/1.79 % (1415395)Peak memory usage: 13 MB 7.77/1.79 % (1415395)Instructions burned: 374 (million) 7.77/1.79 % (1415421)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3047122464:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1790 on theBenchmark for (1790ds/232Mi) 7.77/1.79 % (1415419)Instruction limit reached! 7.77/1.79 % (1415419)------------------------------ 7.77/1.79 % (1415419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.77/1.79 % (1415419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.77/1.79 % (1415419)CaDiCaL version: 2.1.3 7.77/1.79 % (1415419)Termination reason: Instruction limit 7.77/1.79 % (1415419)Termination phase: Saturation 7.77/1.79 % (1415419)Time elapsed: 0.033 s 7.77/1.79 % (1415419)Peak memory usage: 13 MB 7.77/1.79 % (1415419)Instructions burned: 137 (million) 7.77/1.79 % (1415414)Instruction limit reached! 7.77/1.79 % (1415414)------------------------------ 7.77/1.79 % (1415414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.77/1.79 % (1415414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.77/1.79 % (1415414)CaDiCaL version: 2.1.3 7.77/1.79 % (1415414)Termination reason: Instruction limit 7.77/1.79 % (1415414)Termination phase: Saturation 7.77/1.79 % (1415414)Time elapsed: 0.048 s 7.77/1.79 % (1415414)Peak memory usage: 13 MB 7.77/1.79 % (1415414)Instructions burned: 113 (million) 7.77/1.79 % (1415423)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2851783796:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_1790 on theBenchmark for (1790ds/1254Mi) 7.77/1.79 % (1415424)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 7.77/1.79 % (1415424)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=2196531092:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_1790 on theBenchmark for (1790ds/281Mi) 7.77/1.79 % (1415421)Instruction limit reached! 7.77/1.79 % (1415421)------------------------------ 7.77/1.79 % (1415421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.77/1.79 % (1415421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.77/1.79 % (1415421)CaDiCaL version: 2.1.3 7.77/1.79 % (1415421)Termination reason: Instruction limit 7.77/1.79 % (1415421)Termination phase: Saturation 7.77/1.79 % (1415421)Time elapsed: 0.115 s 7.77/1.79 % (1415421)Peak memory usage: 13 MB 7.77/1.79 % (1415421)Instructions burned: 233 (million) 7.77/1.79 % (1415399)Instruction limit reached! 7.77/1.79 % (1415399)------------------------------ 7.77/1.79 % (1415399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.77/1.79 % (1415399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.77/1.79 % (1415399)CaDiCaL version: 2.1.3 7.77/1.79 % (1415399)Termination reason: Instruction limit 7.77/1.79 % (1415399)Termination phase: Saturation 8.41/1.97 % (1415399)Time elapsed: 0.272 s 8.41/1.97 % (1415399)Peak memory usage: 15 MB 8.41/1.97 % (1415399)Instructions burned: 577 (million) 8.41/1.97 % (1415427)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4126500871:i=619:add=on:rtra=on_1789 on theBenchmark for (1789ds/619Mi) 8.41/1.97 % (1415428)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3578186349:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_1789 on theBenchmark for (1789ds/865Mi) 8.41/1.97 % (1415424)Instruction limit reached! 8.41/1.97 % (1415424)------------------------------ 8.41/1.97 % (1415424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.41/1.97 % (1415424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.41/1.97 % (1415424)CaDiCaL version: 2.1.3 8.41/1.97 % (1415424)Termination reason: Instruction limit 8.41/1.97 % (1415424)Termination phase: Saturation 8.41/1.97 % (1415424)Time elapsed: 0.124 s 8.41/1.97 % (1415424)Peak memory usage: 13 MB 8.41/1.97 % (1415424)Instructions burned: 282 (million) 8.41/1.97 % (1415431)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2919928457:i=212:sd=1:rtra=on:ss=axioms:sgt=64_1789 on theBenchmark for (1789ds/212Mi) 8.41/1.97 % (1415427)Refutation not found, incomplete strategy 8.41/1.97 % (1415427)------------------------------ 8.41/1.97 % (1415427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.41/1.97 % (1415427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.41/1.97 % (1415427)CaDiCaL version: 2.1.3 8.41/1.97 % (1415427)Termination reason: Refutation not found, incomplete strategy 8.41/1.97 % (1415427)Time elapsed: 0.051 s 8.41/1.97 % (1415427)Peak memory usage: 13 MB 8.41/1.97 % (1415427)Instructions burned: 107 (million) 8.41/1.97 % (1415427)------------------------------ 8.41/1.97 % (1415427)------------------------------ 8.41/1.97 % (1415433)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=16879639:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_1788 on theBenchmark for (1788ds/130Mi) 8.41/1.97 % (1415433)Refutation not found, incomplete strategy 8.41/1.97 % (1415433)------------------------------ 8.41/1.97 % (1415433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.41/1.97 % (1415433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.41/1.97 % (1415433)CaDiCaL version: 2.1.3 8.41/1.97 % (1415433)Termination reason: Refutation not found, incomplete strategy 8.41/1.97 % (1415433)Time elapsed: 0.005 s 8.41/1.97 % (1415433)Peak memory usage: 12 MB 8.41/1.97 % (1415433)Instructions burned: 10 (million) 8.41/1.97 % (1415433)------------------------------ 8.41/1.97 % (1415433)------------------------------ 8.41/1.97 % (1415435)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1577478413:st=1.5:i=346:rtra=on:ss=axioms_1788 on theBenchmark for (1788ds/346Mi) 8.41/1.97 % (1415435)Refutation not found, incomplete strategy 8.41/1.97 % (1415435)------------------------------ 8.41/1.97 % (1415435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.41/1.97 % (1415435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.41/1.97 % (1415435)CaDiCaL version: 2.1.3 8.41/1.97 % (1415435)Termination reason: Refutation not found, incomplete strategy 8.41/1.97 % (1415435)Time elapsed: 0.014 s 8.41/1.97 % (1415435)Peak memory usage: 12 MB 8.41/1.97 % (1415435)Instructions burned: 29 (million) 8.41/1.97 % (1415435)------------------------------ 8.41/1.97 % (1415435)------------------------------ 8.41/1.97 % (1415431)Instruction limit reached! 8.41/1.97 % (1415431)------------------------------ 8.41/1.97 % (1415431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.41/1.97 % (1415431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.41/1.97 % (1415431)CaDiCaL version: 2.1.3 8.41/1.97 % (1415431)Termination reason: Instruction limit 8.41/1.97 % (1415431)Termination phase: Saturation 8.41/1.97 % (1415431)Time elapsed: 0.092 s 8.41/1.97 % (1415431)Peak memory usage: 13 MB 8.41/1.97 % (1415431)Instructions burned: 213 (million) 8.41/1.97 % (1415437)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4031566078:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_1788 on theBenchmark for (1788ds/152Mi) 8.41/1.97 % (1415438)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=356756183:i=75:ep=R:rtra=on:ntd=on_1787 on theBenchmark for (1787ds/75Mi) 11.35/2.10 % (1415423)Instruction limit reached! 11.35/2.10 % (1415423)------------------------------ 11.35/2.10 % (1415423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.35/2.10 % (1415423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.35/2.10 % (1415423)CaDiCaL version: 2.1.3 11.35/2.10 % (1415423)Termination reason: Instruction limit 11.35/2.10 % (1415423)Termination phase: Saturation 11.35/2.10 % (1415423)Time elapsed: 0.268 s 11.35/2.10 % (1415423)Peak memory usage: 16 MB 11.35/2.10 % (1415423)Instructions burned: 1257 (million) 11.35/2.10 % (1415441)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2342059043:st=2.5:i=387:sd=2:rtra=on:ss=axioms_1787 on theBenchmark for (1787ds/387Mi) 11.35/2.10 % (1415438)Instruction limit reached! 11.35/2.10 % (1415438)------------------------------ 11.35/2.10 % (1415438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.35/2.10 % (1415438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.35/2.10 % (1415438)CaDiCaL version: 2.1.3 11.35/2.10 % (1415438)Termination reason: Instruction limit 11.35/2.10 % (1415438)Termination phase: Saturation 11.35/2.10 % (1415438)Time elapsed: 0.034 s 11.35/2.10 % (1415438)Peak memory usage: 12 MB 11.35/2.10 % (1415438)Instructions burned: 75 (million) 11.35/2.10 % (1415437)Instruction limit reached! 11.35/2.10 % (1415437)------------------------------ 11.35/2.10 % (1415437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.35/2.10 % (1415437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.35/2.10 % (1415437)CaDiCaL version: 2.1.3 11.35/2.10 % (1415437)Termination reason: Instruction limit 11.35/2.10 % (1415437)Termination phase: Saturation 11.35/2.10 % (1415437)Time elapsed: 0.064 s 11.35/2.10 % (1415437)Peak memory usage: 13 MB 11.35/2.10 % (1415437)Instructions burned: 153 (million) 11.35/2.10 % (1415443)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3231678714:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_1787 on theBenchmark for (1787ds/148Mi) 11.35/2.10 % (1415444)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1556215143:i=161:piset=and:rtra=on:ntd=on_1787 on theBenchmark for (1787ds/161Mi) 11.35/2.10 % (1415441)Instruction limit reached! 11.35/2.10 % (1415441)------------------------------ 11.35/2.10 % (1415441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.35/2.10 % (1415441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.35/2.10 % (1415441)CaDiCaL version: 2.1.3 11.35/2.10 % (1415441)Termination reason: Instruction limit 11.35/2.10 % (1415441)Termination phase: Saturation 11.35/2.10 % (1415441)Time elapsed: 0.079 s 11.35/2.10 % (1415441)Peak memory usage: 12 MB 11.35/2.10 % (1415441)Instructions burned: 391 (million) 11.35/2.10 % (1415447)lrs+10_1_sil=128000:si=on:random_seed=4007859862:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_1786 on theBenchmark for (1786ds/888Mi) 11.35/2.10 % (1415443)Instruction limit reached! 11.35/2.10 % (1415443)------------------------------ 11.35/2.10 % (1415443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.35/2.10 % (1415443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.35/2.10 % (1415443)CaDiCaL version: 2.1.3 11.35/2.10 % (1415443)Termination reason: Instruction limit 11.35/2.10 % (1415443)Termination phase: Saturation 11.35/2.10 % (1415443)Time elapsed: 0.062 s 11.35/2.10 % (1415443)Peak memory usage: 12 MB 11.35/2.10 % (1415443)Instructions burned: 150 (million) 11.35/2.10 % (1415449)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=2259347514:i=136:add=on:ins=4:rtra=on:sup=off_1786 on theBenchmark for (1786ds/136Mi) 11.35/2.10 % (1415444)Instruction limit reached! 11.35/2.10 % (1415444)------------------------------ 11.35/2.10 % (1415444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.35/2.10 % (1415444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.35/2.10 % (1415444)CaDiCaL version: 2.1.3 11.35/2.10 % (1415444)Termination reason: Instruction limit 11.35/2.10 % (1415444)Termination phase: Saturation 11.35/2.10 % (1415444)Time elapsed: 0.078 s 11.35/2.10 % (1415444)Peak memory usage: 13 MB 12.18/2.21 % (1415444)Instructions burned: 162 (million) 12.18/2.21 % (1415449)Refutation not found, incomplete strategy 12.18/2.21 % (1415449)------------------------------ 12.18/2.21 % (1415449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.18/2.21 % (1415449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.18/2.21 % (1415449)CaDiCaL version: 2.1.3 12.18/2.21 % (1415449)Termination reason: Refutation not found, incomplete strategy 12.18/2.21 % (1415449)Time elapsed: 0.010 s 12.18/2.21 % (1415449)Peak memory usage: 12 MB 12.18/2.21 % (1415449)Instructions burned: 23 (million) 12.18/2.21 % (1415449)------------------------------ 12.18/2.21 % (1415449)------------------------------ 12.18/2.21 % (1415451)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=778509673:i=88:s2at=3:nm=2:rtra=on:rawr=on_1786 on theBenchmark for (1786ds/88Mi) 12.18/2.21 % (1415452)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1701798931:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_1786 on theBenchmark for (1786ds/93Mi) 12.18/2.21 % (1415451)Instruction limit reached! 12.18/2.21 % (1415451)------------------------------ 12.18/2.21 % (1415451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.18/2.21 % (1415451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.18/2.21 % (1415451)CaDiCaL version: 2.1.3 12.18/2.21 % (1415451)Termination reason: Instruction limit 12.18/2.21 % (1415451)Termination phase: Saturation 12.18/2.21 % (1415451)Time elapsed: 0.036 s 12.18/2.21 % (1415451)Peak memory usage: 12 MB 12.18/2.21 % (1415451)Instructions burned: 88 (million) 12.18/2.21 % (1415452)Instruction limit reached! 12.18/2.21 % (1415452)------------------------------ 12.18/2.21 % (1415452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.18/2.21 % (1415452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.18/2.21 % (1415452)CaDiCaL version: 2.1.3 12.18/2.21 % (1415452)Termination reason: Instruction limit 12.18/2.21 % (1415452)Termination phase: Saturation 12.18/2.21 % (1415452)Time elapsed: 0.039 s 12.18/2.21 % (1415452)Peak memory usage: 12 MB 12.18/2.21 % (1415452)Instructions burned: 95 (million) 12.18/2.21 % (1415455)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=604503846:i=2186:rtra=on:ixr=off_1785 on theBenchmark for (1785ds/2186Mi) 12.18/2.21 % (1415456)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=204431303:s2a=on:i=240:rtra=on:ntd=on_1785 on theBenchmark for (1785ds/240Mi) 12.18/2.21 % (1415447)Instruction limit reached! 12.18/2.21 % (1415447)------------------------------ 12.18/2.21 % (1415447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.18/2.21 % (1415447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.18/2.21 % (1415447)CaDiCaL version: 2.1.3 12.18/2.21 % (1415447)Termination reason: Instruction limit 12.18/2.21 % (1415447)Termination phase: Saturation 12.18/2.21 % (1415447)Time elapsed: 0.191 s 12.18/2.21 % (1415447)Peak memory usage: 14 MB 12.18/2.21 % (1415447)Instructions burned: 891 (million) 12.18/2.21 % (1415459)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=4175902325:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_1784 on theBenchmark for (1784ds/805Mi) 12.18/2.21 % (1415428)Instruction limit reached! 12.18/2.21 % (1415428)------------------------------ 12.18/2.21 % (1415428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.18/2.21 % (1415428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.18/2.21 % (1415428)CaDiCaL version: 2.1.3 12.18/2.21 % (1415428)Termination reason: Instruction limit 12.18/2.21 % (1415428)Termination phase: Saturation 12.18/2.21 % (1415428)Time elapsed: 0.454 s 12.18/2.21 % (1415428)Peak memory usage: 19 MB 12.18/2.21 % (1415428)Instructions burned: 866 (million) 12.18/2.21 % (1415461)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on 12.18/2.21 % (1415461)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=3523718895:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_1784 on theBenchmark for (1784ds/391Mi) 12.69/2.33 % (1415409)Instruction limit reached! 12.69/2.33 % (1415409)------------------------------ 12.69/2.33 % (1415409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.69/2.33 % (1415409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.69/2.33 % (1415409)CaDiCaL version: 2.1.3 12.69/2.33 % (1415409)Termination reason: Instruction limit 12.69/2.33 % (1415409)Termination phase: Saturation 12.69/2.33 % (1415409)Time elapsed: 0.679 s 12.69/2.33 % (1415409)Peak memory usage: 21 MB 12.69/2.33 % (1415409)Instructions burned: 1440 (million) 12.69/2.33 % (1415456)Instruction limit reached! 12.69/2.33 % (1415456)------------------------------ 12.69/2.33 % (1415456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.69/2.33 % (1415456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.69/2.33 % (1415456)CaDiCaL version: 2.1.3 12.69/2.33 % (1415456)Termination reason: Instruction limit 12.69/2.33 % (1415456)Termination phase: Saturation 12.69/2.33 % (1415456)Time elapsed: 0.107 s 12.69/2.33 % (1415456)Peak memory usage: 14 MB 12.69/2.33 % (1415456)Instructions burned: 241 (million) 12.69/2.33 % (1415461)Refutation not found, incomplete strategy 12.69/2.33 % (1415461)------------------------------ 12.69/2.33 % (1415461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.69/2.33 % (1415461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.69/2.33 % (1415461)CaDiCaL version: 2.1.3 12.69/2.33 % (1415461)Termination reason: Refutation not found, incomplete strategy 12.69/2.33 % (1415461)Time elapsed: 0.012 s 12.69/2.33 % (1415461)Peak memory usage: 12 MB 12.69/2.33 % (1415461)Instructions burned: 26 (million) 12.69/2.33 % (1415461)------------------------------ 12.69/2.33 % (1415461)------------------------------ 12.69/2.33 % (1415464)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2530992654:lrd=on:i=314:sd=1:rtra=on:ss=axioms_1784 on theBenchmark for (1784ds/314Mi) 12.69/2.33 % (1415463)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=982371605:i=355:av=off:fsr=off:rtra=on:ixr=off_1784 on theBenchmark for (1784ds/355Mi) 12.69/2.33 % (1415464)Refutation not found, incomplete strategy 12.69/2.33 % (1415464)------------------------------ 12.69/2.33 % (1415464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.69/2.33 % (1415464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.69/2.33 % (1415464)CaDiCaL version: 2.1.3 12.69/2.33 % (1415464)Termination reason: Refutation not found, incomplete strategy 12.69/2.33 % (1415464)Time elapsed: 0.004 s 12.69/2.33 % (1415464)Peak memory usage: 12 MB 12.69/2.33 % (1415464)Instructions burned: 6 (million) 12.69/2.33 % (1415464)------------------------------ 12.69/2.33 % (1415464)------------------------------ 12.69/2.33 % (1415465)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2380045153:s2a=on:i=251:fsr=off:rtra=on_1784 on theBenchmark for (1784ds/251Mi) 12.69/2.33 % (1415459)Refutation not found, incomplete strategy 12.69/2.33 % (1415459)------------------------------ 12.69/2.33 % (1415459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.69/2.33 % (1415459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.69/2.33 % (1415459)CaDiCaL version: 2.1.3 12.69/2.33 % (1415459)Termination reason: Refutation not found, incomplete strategy 12.69/2.33 % (1415459)Time elapsed: 0.056 s 12.69/2.33 % (1415459)Peak memory usage: 15 MB 12.69/2.33 % (1415459)Instructions burned: 240 (million) 12.69/2.33 % (1415459)------------------------------ 12.69/2.33 % (1415459)------------------------------ 12.69/2.33 % (1415470)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3439514619:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_1784 on theBenchmark for (1784ds/673Mi) 12.69/2.33 % (1415468)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2614827707:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_1784 on theBenchmark for (1784ds/2470Mi) 12.69/2.33 % (1415465)Instruction limit reached! 12.69/2.33 % (1415465)------------------------------ 12.69/2.33 % (1415465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.82/2.52 % (1415465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.82/2.52 % (1415465)CaDiCaL version: 2.1.3 13.82/2.52 % (1415465)Termination reason: Instruction limit 13.82/2.52 % (1415465)Termination phase: Saturation 13.82/2.52 % (1415465)Time elapsed: 0.097 s 13.82/2.52 % (1415465)Peak memory usage: 12 MB 13.82/2.52 % (1415465)Instructions burned: 252 (million) 13.82/2.52 % (1415473)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3178636552:i=116:ep=RSTC:rtra=on:ntd=on_1783 on theBenchmark for (1783ds/116Mi) 13.82/2.52 % (1415463)Instruction limit reached! 13.82/2.52 % (1415463)------------------------------ 13.82/2.52 % (1415463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.82/2.52 % (1415463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.82/2.52 % (1415463)CaDiCaL version: 2.1.3 13.82/2.52 % (1415463)Termination reason: Instruction limit 13.82/2.52 % (1415463)Termination phase: Saturation 13.82/2.52 % (1415463)Time elapsed: 0.152 s 13.82/2.52 % (1415463)Peak memory usage: 12 MB 13.82/2.52 % (1415463)Instructions burned: 356 (million) 13.82/2.52 % (1415475)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=593087904:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1782 on theBenchmark for (1782ds/270Mi) 13.82/2.52 % (1415473)Instruction limit reached! 13.82/2.52 % (1415473)------------------------------ 13.82/2.52 % (1415473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.82/2.52 % (1415473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.82/2.52 % (1415473)CaDiCaL version: 2.1.3 13.82/2.52 % (1415473)Termination reason: Instruction limit 13.82/2.52 % (1415473)Termination phase: Saturation 13.82/2.52 % (1415473)Time elapsed: 0.052 s 13.82/2.52 % (1415473)Peak memory usage: 13 MB 13.82/2.52 % (1415473)Instructions burned: 118 (million) 13.82/2.52 % (1415470)Instruction limit reached! 13.82/2.52 % (1415470)------------------------------ 13.82/2.52 % (1415470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.82/2.52 % (1415470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.82/2.52 % (1415470)CaDiCaL version: 2.1.3 13.82/2.52 % (1415470)Termination reason: Instruction limit 13.82/2.52 % (1415470)Termination phase: Saturation 13.82/2.52 % (1415470)Time elapsed: 0.165 s 13.82/2.52 % (1415470)Peak memory usage: 15 MB 13.82/2.52 % (1415470)Instructions burned: 674 (million) 13.82/2.52 % (1415478)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off 13.82/2.52 % (1415477)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=474281749:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1782 on theBenchmark for (1782ds/30Mi) 13.82/2.52 % (1415478)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3229954078:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_1782 on theBenchmark for (1782ds/39Mi) 13.82/2.52 % (1415478)Instruction limit reached! 13.82/2.52 % (1415478)------------------------------ 13.82/2.52 % (1415478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.82/2.52 % (1415478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.82/2.52 % (1415478)CaDiCaL version: 2.1.3 13.82/2.52 % (1415478)Termination reason: Instruction limit 13.82/2.52 % (1415478)Termination phase: Saturation 13.82/2.52 % (1415478)Time elapsed: 0.010 s 13.82/2.52 % (1415478)Peak memory usage: 12 MB 13.82/2.52 % (1415478)Instructions burned: 42 (million) 13.82/2.52 % (1415477)Instruction limit reached! 13.82/2.52 % (1415477)------------------------------ 13.82/2.52 % (1415477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.82/2.52 % (1415477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.82/2.52 % (1415477)CaDiCaL version: 2.1.3 13.82/2.52 % (1415477)Termination reason: Instruction limit 13.82/2.52 % (1415477)Termination phase: Saturation 13.82/2.52 % (1415477)Time elapsed: 0.016 s 13.82/2.52 % (1415477)Peak memory usage: 12 MB 13.82/2.52 % (1415477)Instructions burned: 30 (million) 13.82/2.52 % (1415481)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3059111455:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1782 on theBenchmark for (1782ds/365Mi) 15.08/2.77 % (1415482)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3410755839:i=158:av=off:rtra=on_1782 on theBenchmark for (1782ds/158Mi) 15.08/2.77 % (1415475)Instruction limit reached! 15.08/2.77 % (1415475)------------------------------ 15.08/2.77 % (1415475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.08/2.77 % (1415475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.08/2.77 % (1415475)CaDiCaL version: 2.1.3 15.08/2.77 % (1415475)Termination reason: Instruction limit 15.08/2.77 % (1415475)Termination phase: Saturation 15.08/2.77 % (1415475)Time elapsed: 0.111 s 15.08/2.77 % (1415475)Peak memory usage: 12 MB 15.08/2.77 % (1415475)Instructions burned: 272 (million) 15.08/2.77 % (1415485)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 15.08/2.77 % (1415481)Instruction limit reached! 15.08/2.77 % (1415481)------------------------------ 15.08/2.77 % (1415481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.08/2.77 % (1415481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.08/2.77 % (1415481)CaDiCaL version: 2.1.3 15.08/2.77 % (1415481)Termination reason: Instruction limit 15.08/2.77 % (1415481)Termination phase: Saturation 15.08/2.77 % (1415481)Time elapsed: 0.085 s 15.08/2.77 % (1415481)Peak memory usage: 15 MB 15.08/2.77 % (1415481)Instructions burned: 368 (million) 15.08/2.77 % (1415485)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3774913899:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_1781 on theBenchmark for (1781ds/252Mi) 15.08/2.77 % (1415482)Instruction limit reached! 15.08/2.77 % (1415482)------------------------------ 15.08/2.77 % (1415482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.08/2.77 % (1415482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.08/2.77 % (1415482)CaDiCaL version: 2.1.3 15.08/2.77 % (1415482)Termination reason: Instruction limit 15.08/2.77 % (1415482)Termination phase: Saturation 15.08/2.77 % (1415482)Time elapsed: 0.078 s 15.08/2.77 % (1415482)Peak memory usage: 12 MB 15.08/2.77 % (1415482)Instructions burned: 159 (million) 15.08/2.77 % (1415487)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1042353144:i=213:rtra=on:ss=axioms_1781 on theBenchmark for (1781ds/213Mi) 15.08/2.77 % (1415485)Refutation not found, incomplete strategy 15.08/2.77 % (1415485)------------------------------ 15.08/2.77 % (1415485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.08/2.77 % (1415485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.08/2.77 % (1415485)CaDiCaL version: 2.1.3 15.08/2.77 % (1415485)Termination reason: Refutation not found, incomplete strategy 15.08/2.77 % (1415485)Time elapsed: 0.011 s 15.08/2.77 % (1415485)Peak memory usage: 12 MB 15.08/2.77 % (1415485)Instructions burned: 26 (million) 15.08/2.77 % (1415487)Refutation not found, incomplete strategy 15.08/2.77 % (1415487)------------------------------ 15.08/2.77 % (1415487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.08/2.77 % (1415487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.08/2.77 % (1415487)CaDiCaL version: 2.1.3 15.08/2.77 % (1415487)Termination reason: Refutation not found, incomplete strategy 15.08/2.77 % (1415487)Time elapsed: 0.002 s 15.08/2.77 % (1415487)Peak memory usage: 12 MB 15.08/2.77 % (1415487)Instructions burned: 6 (million) 15.08/2.77 % (1415485)------------------------------ 15.08/2.77 % (1415485)------------------------------ 15.08/2.77 % (1415487)------------------------------ 15.08/2.77 % (1415487)------------------------------ 15.08/2.77 % (1415491)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on 15.08/2.77 % (1415491)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2252114162:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_1781 on theBenchmark for (1781ds/237Mi) 15.08/2.77 % (1415488)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=83498644:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_1781 on theBenchmark for (1781ds/160Mi) 15.86/2.84 % (1415490)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3116894372:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_1781 on theBenchmark for (1781ds/763Mi) 15.86/2.84 % (1415488)Refutation not found, incomplete strategy 15.86/2.84 % (1415488)------------------------------ 15.86/2.84 % (1415488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.86/2.84 % (1415488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.86/2.84 % (1415488)CaDiCaL version: 2.1.3 15.86/2.84 % (1415488)Termination reason: Refutation not found, incomplete strategy 15.86/2.84 % (1415488)Time elapsed: 0.012 s 15.86/2.84 % (1415488)Peak memory usage: 12 MB 15.86/2.84 % (1415488)Instructions burned: 27 (million) 15.86/2.84 % (1415488)------------------------------ 15.86/2.84 % (1415488)------------------------------ 15.86/2.84 % (1415490)Refutation not found, incomplete strategy 15.86/2.84 % (1415490)------------------------------ 15.86/2.84 % (1415490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.86/2.84 % (1415490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.86/2.84 % (1415490)CaDiCaL version: 2.1.3 15.86/2.84 % (1415490)Termination reason: Refutation not found, incomplete strategy 15.86/2.84 % (1415490)Time elapsed: 0.010 s 15.86/2.84 % (1415490)Peak memory usage: 12 MB 15.86/2.84 % (1415490)Instructions burned: 23 (million) 15.86/2.84 % (1415490)------------------------------ 15.86/2.84 % (1415490)------------------------------ 15.86/2.84 % (1415495)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=461402123:s2a=on:i=386:rtra=on:ntd=on_1780 on theBenchmark for (1780ds/386Mi) 15.86/2.84 % (1415496)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1848671416:i=300:piset=and:nm=32:rtra=on_1780 on theBenchmark for (1780ds/300Mi) 15.86/2.84 % (1415491)Instruction limit reached! 15.86/2.84 % (1415491)------------------------------ 15.86/2.84 % (1415491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.86/2.84 % (1415491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.86/2.84 % (1415491)CaDiCaL version: 2.1.3 15.86/2.84 % (1415491)Termination reason: Instruction limit 15.86/2.84 % (1415491)Termination phase: Saturation 15.86/2.84 % (1415491)Time elapsed: 0.056 s 15.86/2.84 % (1415491)Peak memory usage: 13 MB 15.86/2.84 % (1415491)Instructions burned: 240 (million) 15.86/2.84 % (1415499)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2650355725:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_1780 on theBenchmark for (1780ds/567Mi) 15.86/2.84 % (1415496)Instruction limit reached! 15.86/2.84 % (1415496)------------------------------ 15.86/2.84 % (1415496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.86/2.84 % (1415496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.86/2.84 % (1415496)CaDiCaL version: 2.1.3 15.86/2.84 % (1415496)Termination reason: Instruction limit 15.86/2.84 % (1415496)Termination phase: Saturation 15.86/2.84 % (1415496)Time elapsed: 0.130 s 15.86/2.84 % (1415496)Peak memory usage: 13 MB 15.86/2.84 % (1415496)Instructions burned: 300 (million) 15.86/2.84 % (1415501)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4072025482:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_1779 on theBenchmark for (1779ds/379Mi) 15.86/2.84 % (1415495)Instruction limit reached! 15.86/2.84 % (1415495)------------------------------ 15.86/2.84 % (1415495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.86/2.84 % (1415495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.86/2.84 % (1415495)CaDiCaL version: 2.1.3 15.86/2.84 % (1415495)Termination reason: Instruction limit 15.86/2.84 % (1415495)Termination phase: Saturation 15.86/2.84 % (1415495)Time elapsed: 0.157 s 15.86/2.84 % (1415495)Peak memory usage: 13 MB 15.86/2.84 % (1415495)Instructions burned: 388 (million) 15.86/2.84 % (1415499)Instruction limit reached! 15.86/2.84 % (1415499)------------------------------ 15.86/2.84 % (1415499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.86/2.84 % (1415499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.86/2.84 % (1415499)CaDiCaL version: 2.1.3 16.27/3.02 % (1415499)Termination reason: Instruction limit 16.27/3.02 % (1415499)Termination phase: Saturation 16.27/3.02 % (1415499)Time elapsed: 0.128 s 16.27/3.02 % (1415499)Peak memory usage: 13 MB 16.27/3.02 % (1415499)Instructions burned: 570 (million) 16.27/3.02 % (1415504)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2131969720:i=478:bd=all:rtra=on_1779 on theBenchmark for (1779ds/478Mi) 16.27/3.02 % (1415503)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2532384157:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_1779 on theBenchmark for (1779ds/429Mi) 16.27/3.02 % (1415504)Instruction limit reached! 16.27/3.02 % (1415504)------------------------------ 16.27/3.02 % (1415504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 16.27/3.02 % (1415504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 16.27/3.02 % (1415504)CaDiCaL version: 2.1.3 16.27/3.02 % (1415504)Termination reason: Instruction limit 16.27/3.02 % (1415504)Termination phase: Saturation 16.27/3.02 % (1415504)Time elapsed: 0.122 s 16.27/3.02 % (1415504)Peak memory usage: 14 MB 16.27/3.02 % (1415504)Instructions burned: 479 (million) 16.27/3.02 % (1415507)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4135860667:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1777 on theBenchmark for (1777ds/445Mi) 16.27/3.02 % (1415501)Instruction limit reached! 16.27/3.02 % (1415501)------------------------------ 16.27/3.02 % (1415501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 16.27/3.02 % (1415501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 16.27/3.02 % (1415501)CaDiCaL version: 2.1.3 16.27/3.02 % (1415501)Termination reason: Instruction limit 16.27/3.02 % (1415501)Termination phase: Saturation 16.27/3.02 % (1415501)Time elapsed: 0.176 s 16.27/3.02 % (1415501)Peak memory usage: 15 MB 16.27/3.02 % (1415501)Instructions burned: 379 (million) 16.27/3.02 % (1415509)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1680854215:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_1777 on theBenchmark for (1777ds/71Mi) 16.27/3.02 % (1415503)Instruction limit reached! 16.27/3.02 % (1415503)------------------------------ 16.27/3.02 % (1415503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 16.27/3.02 % (1415503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 16.27/3.02 % (1415503)CaDiCaL version: 2.1.3 16.27/3.02 % (1415503)Termination reason: Instruction limit 16.27/3.02 % (1415503)Termination phase: Saturation 16.27/3.02 % (1415503)Time elapsed: 0.200 s 16.27/3.02 % (1415503)Peak memory usage: 14 MB 16.27/3.02 % (1415503)Instructions burned: 430 (million) 16.27/3.02 % (1415509)Instruction limit reached! 16.27/3.02 % (1415509)------------------------------ 16.27/3.02 % (1415509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 16.27/3.02 % (1415509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 16.27/3.02 % (1415509)CaDiCaL version: 2.1.3 16.27/3.02 % (1415509)Termination reason: Instruction limit 16.27/3.02 % (1415509)Termination phase: Saturation 16.27/3.02 % (1415509)Time elapsed: 0.034 s 16.27/3.02 % (1415509)Peak memory usage: 12 MB 16.27/3.02 % (1415509)Instructions burned: 72 (million) 16.27/3.02 % (1415511)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3436815572:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_1776 on theBenchmark for (1776ds/302Mi) 16.27/3.02 % (1415511)Refutation not found, incomplete strategy 16.27/3.02 % (1415511)------------------------------ 16.27/3.02 % (1415511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 16.27/3.02 % (1415511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 16.27/3.02 % (1415511)CaDiCaL version: 2.1.3 16.27/3.02 % (1415511)Termination reason: Refutation not found, incomplete strategy 16.27/3.02 % (1415511)Time elapsed: 0.004 s 16.27/3.02 % (1415511)Peak memory usage: 12 MB 16.27/3.02 % (1415511)Instructions burned: 6 (million) 16.27/3.02 % (1415511)------------------------------ 16.27/3.02 % (1415511)------------------------------ 16.27/3.02 % (1415512)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=498494860:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_1776 on theBenchmark for (1776ds/4980Mi) 16.27/3.02 % (1415512)Refutation not found, incomplete strategy 16.27/3.02 % (1415512)------------------------------ 16.27/3.02 % (1415512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.15/3.19 % (1415512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.15/3.19 % (1415512)CaDiCaL version: 2.1.3 19.15/3.19 % (1415512)Termination reason: Refutation not found, incomplete strategy 19.15/3.19 % (1415512)Time elapsed: 0.005 s 19.15/3.19 % (1415512)Peak memory usage: 12 MB 19.15/3.19 % (1415512)Instructions burned: 9 (million) 19.15/3.19 % (1415512)------------------------------ 19.15/3.19 % (1415512)------------------------------ 19.15/3.19 % (1415507)Instruction limit reached! 19.15/3.19 % (1415507)------------------------------ 19.15/3.19 % (1415507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.15/3.19 % (1415507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.15/3.19 % (1415507)CaDiCaL version: 2.1.3 19.15/3.19 % (1415507)Termination reason: Instruction limit 19.15/3.19 % (1415507)Termination phase: Saturation 19.15/3.19 % (1415507)Time elapsed: 0.109 s 19.15/3.19 % (1415507)Peak memory usage: 14 MB 19.15/3.19 % (1415507)Instructions burned: 447 (million) 19.15/3.19 % (1415514)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 19.15/3.19 % (1415514)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 19.15/3.19 % (1415514)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1656117481:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1776 on theBenchmark for (1776ds/100Mi) 19.15/3.19 % (1415517)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2288657309:i=289:rtra=on_1776 on theBenchmark for (1776ds/289Mi) 19.15/3.19 % (1415516)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1095804875:i=76:piset=equals:rtra=on:ntd=on_1776 on theBenchmark for (1776ds/76Mi) 19.15/3.19 % (1415517)Refutation not found, incomplete strategy 19.15/3.19 % (1415517)------------------------------ 19.15/3.19 % (1415517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.15/3.19 % (1415517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.15/3.19 % (1415517)CaDiCaL version: 2.1.3 19.15/3.19 % (1415517)Termination reason: Refutation not found, incomplete strategy 19.15/3.19 % (1415517)Time elapsed: 0.006 s 19.15/3.19 % (1415517)Peak memory usage: 12 MB 19.15/3.19 % (1415517)Instructions burned: 25 (million) 19.15/3.19 % (1415517)------------------------------ 19.15/3.19 % (1415517)------------------------------ 19.15/3.19 % (1415521)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=2644478243:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_1776 on theBenchmark for (1776ds/493Mi) 19.15/3.19 % (1415514)Instruction limit reached! 19.15/3.19 % (1415514)------------------------------ 19.15/3.19 % (1415514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.15/3.19 % (1415514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.15/3.19 % (1415514)CaDiCaL version: 2.1.3 19.15/3.19 % (1415514)Termination reason: Instruction limit 19.15/3.19 % (1415514)Termination phase: Saturation 19.15/3.19 % (1415514)Time elapsed: 0.043 s 19.15/3.19 % (1415514)Peak memory usage: 12 MB 19.15/3.19 % (1415514)Instructions burned: 102 (million) 19.15/3.19 % (1415516)Instruction limit reached! 19.15/3.19 % (1415516)------------------------------ 19.15/3.19 % (1415516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.15/3.19 % (1415516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.15/3.19 % (1415516)CaDiCaL version: 2.1.3 19.15/3.19 % (1415516)Termination reason: Instruction limit 19.15/3.19 % (1415516)Termination phase: Saturation 19.15/3.19 % (1415516)Time elapsed: 0.037 s 19.15/3.19 % (1415516)Peak memory usage: 12 MB 19.15/3.19 % (1415516)Instructions burned: 78 (million) 19.15/3.19 % (1415524)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 19.15/3.19 % (1415523)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2677486127:cond=on:i=34:hud=10:nm=10:rtra=on_1775 on theBenchmark for (1775ds/34Mi) 20.15/3.42 % (1415524)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=4123276539:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_1775 on theBenchmark for (1775ds/372Mi) 20.15/3.42 % (1415455)Instruction limit reached! 20.15/3.42 % (1415455)------------------------------ 20.15/3.42 % (1415455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 20.15/3.42 % (1415455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.15/3.42 % (1415455)CaDiCaL version: 2.1.3 20.15/3.42 % (1415455)Termination reason: Instruction limit 20.15/3.42 % (1415455)Termination phase: Saturation 20.15/3.42 % (1415455)Time elapsed: 0.980 s 20.15/3.42 % (1415455)Peak memory usage: 20 MB 20.15/3.42 % (1415455)Instructions burned: 2188 (million) 20.15/3.42 % (1415523)Instruction limit reached! 20.15/3.42 % (1415523)------------------------------ 20.15/3.42 % (1415523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 20.15/3.42 % (1415523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.15/3.42 % (1415523)CaDiCaL version: 2.1.3 20.15/3.42 % (1415523)Termination reason: Instruction limit 20.15/3.42 % (1415523)Termination phase: Saturation 20.15/3.42 % (1415523)Time elapsed: 0.016 s 20.15/3.42 % (1415523)Peak memory usage: 12 MB 20.15/3.42 % (1415523)Instructions burned: 35 (million) 20.15/3.42 % (1415527)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=4102413394:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_1775 on theBenchmark for (1775ds/670Mi) 20.15/3.42 % (1415528)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3110321941:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1775 on theBenchmark for (1775ds/647Mi) 20.15/3.42 % (1415521)Instruction limit reached! 20.15/3.42 % (1415521)------------------------------ 20.15/3.42 % (1415521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 20.15/3.42 % (1415521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.15/3.42 % (1415521)CaDiCaL version: 2.1.3 20.15/3.42 % (1415521)Termination reason: Instruction limit 20.15/3.42 % (1415521)Termination phase: Saturation 20.15/3.42 % (1415521)Time elapsed: 0.097 s 20.15/3.42 % (1415521)Peak memory usage: 12 MB 20.15/3.42 % (1415521)Instructions burned: 494 (million) 20.15/3.42 % (1415531)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=2629109306:i=857:add=off:kws=frequency:rtra=on:ntd=on_1775 on theBenchmark for (1775ds/857Mi) 20.15/3.42 % (1415531)Refutation not found, incomplete strategy 20.15/3.42 % (1415531)------------------------------ 20.15/3.42 % (1415531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 20.15/3.42 % (1415531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.15/3.42 % (1415531)CaDiCaL version: 2.1.3 20.15/3.42 % (1415531)Termination reason: Refutation not found, incomplete strategy 20.15/3.42 % (1415531)Time elapsed: 0.006 s 20.15/3.42 % (1415531)Peak memory usage: 12 MB 20.15/3.42 % (1415531)Instructions burned: 26 (million) 20.15/3.42 % (1415531)------------------------------ 20.15/3.42 % (1415531)------------------------------ 20.15/3.42 % (1415533)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=237736138:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_1775 on theBenchmark for (1775ds/693Mi) 20.15/3.42 % (1415524)Instruction limit reached! 20.15/3.42 % (1415524)------------------------------ 20.15/3.42 % (1415524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 20.15/3.42 % (1415524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.15/3.42 % (1415524)CaDiCaL version: 2.1.3 20.15/3.42 % (1415524)Termination reason: Instruction limit 20.15/3.42 % (1415524)Termination phase: Saturation 20.15/3.42 % (1415524)Time elapsed: 0.158 s 20.15/3.42 % (1415524)Peak memory usage: 13 MB 20.15/3.42 % (1415524)Instructions burned: 373 (million) 20.15/3.42 % (1415535)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1292616275:i=285:hud=10:bd=all:rtra=on:ss=axioms_1774 on theBenchmark for (1774ds/285Mi) 21.27/3.78 % (1415535)Refutation not found, incomplete strategy 21.27/3.78 % (1415535)------------------------------ 21.27/3.78 % (1415535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.27/3.78 % (1415535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.27/3.78 % (1415535)CaDiCaL version: 2.1.3 21.27/3.78 % (1415535)Termination reason: Refutation not found, incomplete strategy 21.27/3.78 % (1415535)Time elapsed: 0.005 s 21.27/3.78 % (1415535)Peak memory usage: 12 MB 21.27/3.78 % (1415535)Instructions burned: 8 (million) 21.27/3.78 % (1415535)------------------------------ 21.27/3.78 % (1415535)------------------------------ 21.27/3.78 % (1415537)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on 21.27/3.78 % (1415537)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=921540910:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_1773 on theBenchmark for (1773ds/52Mi) 21.27/3.78 % (1415537)Instruction limit reached! 21.27/3.78 % (1415537)------------------------------ 21.27/3.78 % (1415537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.27/3.78 % (1415537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.27/3.78 % (1415537)CaDiCaL version: 2.1.3 21.27/3.78 % (1415537)Termination reason: Instruction limit 21.27/3.78 % (1415537)Termination phase: Saturation 21.27/3.78 % (1415537)Time elapsed: 0.023 s 21.27/3.78 % (1415537)Peak memory usage: 12 MB 21.27/3.78 % (1415537)Instructions burned: 53 (million) 21.27/3.78 % (1415539)dis+10_1_si=on:random_seed=1238031106:i=407:sd=4:rtra=on:ss=axioms:sgt=20_1773 on theBenchmark for (1773ds/407Mi) 21.27/3.78 % (1415533)Instruction limit reached! 21.27/3.78 % (1415533)------------------------------ 21.27/3.78 % (1415533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.27/3.78 % (1415533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.27/3.78 % (1415533)CaDiCaL version: 2.1.3 21.27/3.78 % (1415533)Termination reason: Instruction limit 21.27/3.78 % (1415533)Termination phase: Saturation 21.27/3.78 % (1415533)Time elapsed: 0.164 s 21.27/3.78 % (1415533)Peak memory usage: 14 MB 21.27/3.78 % (1415533)Instructions burned: 693 (million) 21.27/3.78 % (1415541)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=219195873:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_1773 on theBenchmark for (1773ds/2240Mi) 21.27/3.78 % (1415527)Instruction limit reached! 21.27/3.78 % (1415527)------------------------------ 21.27/3.78 % (1415527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.27/3.78 % (1415527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.27/3.78 % (1415527)CaDiCaL version: 2.1.3 21.27/3.78 % (1415527)Termination reason: Instruction limit 21.27/3.78 % (1415527)Termination phase: Saturation 21.27/3.78 % (1415527)Time elapsed: 0.294 s 21.27/3.78 % (1415527)Peak memory usage: 16 MB 21.27/3.78 % (1415527)Instructions burned: 671 (million) 21.27/3.78 % (1415468)Instruction limit reached! 21.27/3.78 % (1415468)------------------------------ 21.27/3.78 % (1415468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.27/3.78 % (1415468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.27/3.78 % (1415468)CaDiCaL version: 2.1.3 21.27/3.78 % (1415468)Termination reason: Instruction limit 21.27/3.78 % (1415468)Termination phase: Saturation 21.27/3.78 % (1415468)Time elapsed: 1.145 s 21.27/3.78 % (1415468)Peak memory usage: 18 MB 21.27/3.78 % (1415468)Instructions burned: 2472 (million) 21.27/3.78 % (1415543)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=519554458:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_1772 on theBenchmark for (1772ds/336Mi) 21.27/3.78 % (1415544)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2125617944:s2a=on:i=1142:s2at=3:bd=all:rtra=on_1772 on theBenchmark for (1772ds/1142Mi) 21.27/3.78 % (1415543)Refutation not found, incomplete strategy 21.27/3.78 % (1415543)------------------------------ 21.27/3.78 % (1415543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.27/3.78 % (1415543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.93 % (1415543)CaDiCaL version: 2.1.3 23.61/3.93 % (1415543)Termination reason: Refutation not found, incomplete strategy 23.61/3.93 % (1415543)Time elapsed: 0.005 s 23.61/3.93 % (1415543)Peak memory usage: 12 MB 23.61/3.93 % (1415543)Instructions burned: 9 (million) 23.61/3.93 % (1415543)------------------------------ 23.61/3.93 % (1415543)------------------------------ 23.61/3.93 % (1415547)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3144455949:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_1772 on theBenchmark for (1772ds/376Mi) 23.61/3.93 % (1415544)Refutation not found, incomplete strategy 23.61/3.93 % (1415544)------------------------------ 23.61/3.93 % (1415544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.93 % (1415544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.93 % (1415544)CaDiCaL version: 2.1.3 23.61/3.93 % (1415544)Termination reason: Refutation not found, incomplete strategy 23.61/3.93 % (1415544)Time elapsed: 0.020 s 23.61/3.93 % (1415544)Peak memory usage: 12 MB 23.61/3.93 % (1415544)Instructions burned: 33 (million) 23.61/3.93 % (1415544)------------------------------ 23.61/3.93 % (1415544)------------------------------ 23.61/3.93 % (1415549)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2040467617:i=766:bd=all:rtra=on_1772 on theBenchmark for (1772ds/766Mi) 23.61/3.93 % (1415528)Instruction limit reached! 23.61/3.93 % (1415528)------------------------------ 23.61/3.93 % (1415528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.93 % (1415528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.93 % (1415528)CaDiCaL version: 2.1.3 23.61/3.93 % (1415528)Termination reason: Instruction limit 23.61/3.93 % (1415528)Termination phase: Saturation 23.61/3.93 % (1415528)Time elapsed: 0.350 s 23.61/3.93 % (1415528)Peak memory usage: 14 MB 23.61/3.93 % (1415528)Instructions burned: 647 (million) 23.61/3.93 % (1415551)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on 23.61/3.93 % (1415551)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1969682689:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_1771 on theBenchmark for (1771ds/959Mi) 23.61/3.93 % (1415539)Instruction limit reached! 23.61/3.93 % (1415539)------------------------------ 23.61/3.93 % (1415539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.93 % (1415539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.93 % (1415539)CaDiCaL version: 2.1.3 23.61/3.93 % (1415539)Termination reason: Instruction limit 23.61/3.93 % (1415539)Termination phase: Saturation 23.61/3.93 % (1415539)Time elapsed: 0.177 s 23.61/3.93 % (1415539)Peak memory usage: 13 MB 23.61/3.93 % (1415539)Instructions burned: 409 (million) 23.61/3.93 % (1415553)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=2162705165:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_1771 on theBenchmark for (1771ds/6359Mi) 23.61/3.93 % (1415547)Instruction limit reached! 23.61/3.93 % (1415547)------------------------------ 23.61/3.93 % (1415547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.93 % (1415547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.93 % (1415547)CaDiCaL version: 2.1.3 23.61/3.93 % (1415547)Termination reason: Instruction limit 23.61/3.93 % (1415547)Termination phase: Saturation 23.61/3.93 % (1415547)Time elapsed: 0.183 s 23.61/3.93 % (1415547)Peak memory usage: 15 MB 23.61/3.93 % (1415547)Instructions burned: 376 (million) 23.61/3.93 % (1415555)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2125635294:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_1770 on theBenchmark for (1770ds/35Mi) 23.61/3.93 % (1415555)Instruction limit reached! 23.61/3.93 % (1415555)------------------------------ 23.61/3.93 % (1415555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.93 % (1415555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.93 % (1415555)CaDiCaL version: 2.1.3 23.61/3.93 % (1415555)Termination reason: Instruction limit 23.61/3.93 % (1415555)Termination phase: Saturation 23.61/3.93 % (1415555)Time elapsed: 0.015 s 23.61/3.99 % (1415555)Peak memory usage: 11 MB 23.61/3.99 % (1415555)Instructions burned: 37 (million) 23.61/3.99 % (1415557)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1068063083:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_1769 on theBenchmark for (1769ds/53Mi) 23.61/3.99 % (1415557)Instruction limit reached! 23.61/3.99 % (1415557)------------------------------ 23.61/3.99 % (1415557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.99 % (1415557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.99 % (1415557)CaDiCaL version: 2.1.3 23.61/3.99 % (1415557)Termination reason: Instruction limit 23.61/3.99 % (1415557)Termination phase: Saturation 23.61/3.99 % (1415557)Time elapsed: 0.025 s 23.61/3.99 % (1415557)Peak memory usage: 13 MB 23.61/3.99 % (1415557)Instructions burned: 54 (million) 23.61/3.99 % (1415559)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=158679032:s2a=on:i=876:s2at=6:nm=2:rtra=on_1769 on theBenchmark for (1769ds/876Mi) 23.61/3.99 % (1415549)Instruction limit reached! 23.61/3.99 % (1415549)------------------------------ 23.61/3.99 % (1415549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.99 % (1415549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.99 % (1415549)CaDiCaL version: 2.1.3 23.61/3.99 % (1415549)Termination reason: Instruction limit 23.61/3.99 % (1415549)Termination phase: Saturation 23.61/3.99 % (1415549)Time elapsed: 0.357 s 23.61/3.99 % (1415549)Peak memory usage: 17 MB 23.61/3.99 % (1415549)Instructions burned: 767 (million) 23.61/3.99 % (1415561)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3824912226:i=57:ep=R:rtra=on:ntd=on_1768 on theBenchmark for (1768ds/57Mi) 23.61/3.99 % (1415561)Instruction limit reached! 23.61/3.99 % (1415561)------------------------------ 23.61/3.99 % (1415561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.99 % (1415561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.99 % (1415561)CaDiCaL version: 2.1.3 23.61/3.99 % (1415561)Termination reason: Instruction limit 23.61/3.99 % (1415561)Termination phase: Saturation 23.61/3.99 % (1415561)Time elapsed: 0.026 s 23.61/3.99 % (1415561)Peak memory usage: 12 MB 23.61/3.99 % (1415561)Instructions burned: 59 (million) 23.61/3.99 % (1415563)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 23.61/3.99 % (1415563)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3718090377:i=306:bd=all:rtra=on_1767 on theBenchmark for (1767ds/306Mi) 23.61/3.99 % (1415541)Instruction limit reached! 23.61/3.99 % (1415541)------------------------------ 23.61/3.99 % (1415541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.99 % (1415541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.99 % (1415541)CaDiCaL version: 2.1.3 23.61/3.99 % (1415541)Termination reason: Instruction limit 23.61/3.99 % (1415541)Termination phase: Saturation 23.61/3.99 % (1415541)Time elapsed: 0.616 s 23.61/3.99 % (1415541)Peak memory usage: 28 MB 23.61/3.99 % (1415541)Instructions burned: 2243 (million) 23.61/3.99 % (1415565)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2511730422:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_1767 on theBenchmark for (1767ds/262Mi) 23.61/3.99 % (1415551)Instruction limit reached! 23.61/3.99 % (1415551)------------------------------ 23.61/3.99 % (1415551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.61/3.99 % (1415551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.61/3.99 % (1415551)CaDiCaL version: 2.1.3 23.61/3.99 % (1415551)Termination reason: Instruction limit 23.61/3.99 % (1415551)Termination phase: Saturation 23.61/3.99 % (1415551)Time elapsed: 0.489 s 23.61/3.99 % (1415551)Peak memory usage: 16 MB 23.61/3.99 % (1415551)Instructions burned: 959 (million) 23.61/3.99 % (1415567)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on 23.61/3.99 % (1415567)ott+1002_16_sil=128000:si=on:random_seed=1320450276:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_1766 on theBenchmark for (1766ds/409Mi) 23.61/3.99 % (1415565)Instruction limit reached! 23.61/3.99 % (1415565)------------------------------ 25.55/4.11 % (1415565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 25.55/4.11 % (1415565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 25.55/4.11 % (1415565)CaDiCaL version: 2.1.3 25.55/4.11 % (1415565)Termination reason: Instruction limit 25.55/4.11 % (1415565)Termination phase: Saturation 25.55/4.11 % (1415565)Time elapsed: 0.054 s 25.55/4.11 % (1415565)Peak memory usage: 12 MB 25.55/4.11 % (1415565)Instructions burned: 265 (million) 25.55/4.11 % (1415569)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=243361336:s2a=on:i=381:rtra=on_1766 on theBenchmark for (1766ds/381Mi) 25.55/4.11 % (1415563)Instruction limit reached! 25.55/4.11 % (1415563)------------------------------ 25.55/4.11 % (1415563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 25.55/4.11 % (1415563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 25.55/4.11 % (1415563)CaDiCaL version: 2.1.3 25.55/4.11 % (1415563)Termination reason: Instruction limit 25.55/4.11 % (1415563)Termination phase: Saturation 25.55/4.11 % (1415563)Time elapsed: 0.147 s 25.55/4.11 % (1415563)Peak memory usage: 14 MB 25.55/4.11 % (1415563)Instructions burned: 306 (million) 25.55/4.11 % (1415571)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3327543564:cond=on:i=324:rtra=on:ntd=on_1766 on theBenchmark for (1766ds/324Mi) 25.55/4.11 % (1415569)Instruction limit reached! 25.55/4.11 % (1415569)------------------------------ 25.55/4.11 % (1415569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 25.55/4.11 % (1415569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 25.55/4.11 % (1415569)CaDiCaL version: 2.1.3 25.55/4.11 % (1415569)Termination reason: Instruction limit 25.55/4.11 % (1415569)Termination phase: Saturation 25.55/4.11 % (1415569)Time elapsed: 0.087 s 25.55/4.11 % (1415569)Peak memory usage: 14 MB 25.55/4.11 % (1415569)Instructions burned: 382 (million) 25.55/4.11 % (1415573)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=173491874:i=240:kws=inv_precedence:rtra=on_1765 on theBenchmark for (1765ds/240Mi) 25.55/4.11 % (1415573)Refutation not found, incomplete strategy 25.55/4.11 % (1415573)------------------------------ 25.55/4.11 % (1415573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 25.55/4.11 % (1415573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 25.55/4.11 % (1415573)CaDiCaL version: 2.1.3 25.55/4.11 % (1415573)Termination reason: Refutation not found, incomplete strategy 25.55/4.11 % (1415573)Time elapsed: 0.003 s 25.55/4.11 % (1415573)Peak memory usage: 12 MB 25.55/4.11 % (1415573)Instructions burned: 9 (million) 25.55/4.11 % (1415573)------------------------------ 25.55/4.11 % (1415573)------------------------------ 25.55/4.11 % (1415559)Instruction limit reached! 25.55/4.11 % (1415559)------------------------------ 25.55/4.11 % (1415559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 25.55/4.11 % (1415559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 25.55/4.11 % (1415559)CaDiCaL version: 2.1.3 25.55/4.11 % (1415559)Termination reason: Instruction limit 25.55/4.11 % (1415559)Termination phase: Saturation 25.55/4.11 % (1415559)Time elapsed: 0.410 s 25.55/4.11 % (1415559)Peak memory usage: 14 MB 25.55/4.11 % (1415559)Instructions burned: 877 (million) 25.55/4.11 % (1415575)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 25.55/4.11 % (1415575)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1328109529:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_1765 on theBenchmark for (1765ds/124Mi) 25.55/4.11 % (1415576)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2021530111:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_1765 on theBenchmark for (1765ds/223Mi) 25.55/4.11 % (1415576)Refutation not found, incomplete strategy 25.55/4.11 % (1415576)------------------------------ 25.55/4.11 % (1415576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 25.55/4.11 % (1415576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 25.55/4.11 % (1415576)CaDiCaL version: 2.1.3 25.55/4.11 % (1415576)Termination reason: Refutation not found, incomplete strategy 25.55/4.11 % (1415576)Time elapsed: 0.010 s 25.55/4.11 % (1415576)Peak memory usage: 12 MB 25.55/4.11 % (1415576)Instructions burned: 22 (million) 26.20/4.28 % (1415576)------------------------------ 26.20/4.28 % (1415576)------------------------------ 26.20/4.28 % (1415575)Instruction limit reached! 26.20/4.28 % (1415575)------------------------------ 26.20/4.28 % (1415575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.20/4.28 % (1415575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.20/4.28 % (1415575)CaDiCaL version: 2.1.3 26.20/4.28 % (1415575)Termination reason: Instruction limit 26.20/4.28 % (1415575)Termination phase: Saturation 26.20/4.28 % (1415575)Time elapsed: 0.026 s 26.20/4.28 % (1415575)Peak memory usage: 12 MB 26.20/4.28 % (1415575)Instructions burned: 125 (million) 26.20/4.28 % (1415580)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1303565288:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_1764 on theBenchmark for (1764ds/464Mi) 26.20/4.28 % (1415580)Refutation not found, incomplete strategy 26.20/4.28 % (1415580)------------------------------ 26.20/4.28 % (1415580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.20/4.28 % (1415580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.20/4.28 % (1415580)CaDiCaL version: 2.1.3 26.20/4.28 % (1415580)Termination reason: Refutation not found, incomplete strategy 26.20/4.28 % (1415580)Time elapsed: 0.003 s 26.20/4.28 % (1415580)Peak memory usage: 12 MB 26.20/4.28 % (1415580)Instructions burned: 9 (million) 26.20/4.28 % (1415579)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=168467127:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_1764 on theBenchmark for (1764ds/282Mi) 26.20/4.28 % (1415580)------------------------------ 26.20/4.28 % (1415580)------------------------------ 26.20/4.28 % (1415567)Instruction limit reached! 26.20/4.28 % (1415567)------------------------------ 26.20/4.28 % (1415567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.20/4.28 % (1415567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.20/4.28 % (1415567)CaDiCaL version: 2.1.3 26.20/4.28 % (1415567)Termination reason: Instruction limit 26.20/4.28 % (1415567)Termination phase: Saturation 26.20/4.28 % (1415567)Time elapsed: 0.196 s 26.20/4.28 % (1415567)Peak memory usage: 14 MB 26.20/4.28 % (1415567)Instructions burned: 410 (million) 26.20/4.28 % (1415583)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3331469771:i=88:s2at=3:nm=2:rtra=on:rawr=on_1764 on theBenchmark for (1764ds/88Mi) 26.20/4.28 % (1415584)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2143105187:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_1764 on theBenchmark for (1764ds/280Mi) 26.20/4.28 % (1415571)Instruction limit reached! 26.20/4.28 % (1415571)------------------------------ 26.20/4.28 % (1415571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.20/4.28 % (1415571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.20/4.28 % (1415571)CaDiCaL version: 2.1.3 26.20/4.28 % (1415571)Termination reason: Instruction limit 26.20/4.28 % (1415571)Termination phase: Saturation 26.20/4.28 % (1415571)Time elapsed: 0.161 s 26.20/4.28 % (1415571)Peak memory usage: 13 MB 26.20/4.28 % (1415571)Instructions burned: 324 (million) 26.20/4.28 % (1415583)Instruction limit reached! 26.20/4.28 % (1415583)------------------------------ 26.20/4.28 % (1415583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.20/4.28 % (1415583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.20/4.28 % (1415583)CaDiCaL version: 2.1.3 26.20/4.28 % (1415583)Termination reason: Instruction limit 26.20/4.28 % (1415583)Termination phase: Saturation 26.20/4.28 % (1415583)Time elapsed: 0.019 s 26.20/4.28 % (1415583)Peak memory usage: 12 MB 26.20/4.28 % (1415583)Instructions burned: 93 (million) 26.20/4.28 % (1415588)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection 26.20/4.28 % (1415588)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off 26.20/4.28 % (1415588)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=2366632478:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_1764 on theBenchmark for (1764ds/483Mi) 26.20/4.28 % (1415587)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on 28.45/4.62 % (1415588)Refutation not found, incomplete strategy 28.45/4.62 % (1415588)------------------------------ 28.45/4.62 % (1415588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.45/4.62 % (1415588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.45/4.62 % (1415588)CaDiCaL version: 2.1.3 28.45/4.62 % (1415588)Termination reason: Refutation not found, incomplete strategy 28.45/4.62 % (1415588)Time elapsed: 0.006 s 28.45/4.62 % (1415588)Peak memory usage: 12 MB 28.45/4.62 % (1415588)Instructions burned: 24 (million) 28.45/4.62 % (1415588)------------------------------ 28.45/4.62 % (1415588)------------------------------ 28.45/4.62 % (1415587)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1562411243:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_1764 on theBenchmark for (1764ds/4386Mi) 28.45/4.62 % (1415591)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3424673255:i=73:rtra=on_1764 on theBenchmark for (1764ds/73Mi) 28.45/4.62 % (1415371)Instruction limit reached! 28.45/4.62 % (1415371)------------------------------ 28.45/4.62 % (1415371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.45/4.62 % (1415371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.45/4.62 % (1415371)CaDiCaL version: 2.1.3 28.45/4.62 % (1415371)Termination reason: Instruction limit 28.45/4.62 % (1415371)Termination phase: Saturation 28.45/4.62 % (1415371)Time elapsed: 3.034 s 28.45/4.62 % (1415371)Peak memory usage: 38 MB 28.45/4.62 % (1415371)Instructions burned: 5756 (million) 28.45/4.62 % (1415591)Instruction limit reached! 28.45/4.62 % (1415591)------------------------------ 28.45/4.62 % (1415591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.45/4.62 % (1415591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.45/4.62 % (1415591)CaDiCaL version: 2.1.3 28.45/4.62 % (1415591)Termination reason: Instruction limit 28.45/4.62 % (1415591)Termination phase: Saturation 28.45/4.62 % (1415591)Time elapsed: 0.016 s 28.45/4.62 % (1415591)Peak memory usage: 12 MB 28.45/4.62 % (1415591)Instructions burned: 73 (million) 28.45/4.62 % (1415593)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2416492429:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1764 on theBenchmark for (1764ds/176Mi) 28.45/4.62 % (1415594)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off 28.45/4.62 % (1415594)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3455528440:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_1764 on theBenchmark for (1764ds/39Mi) 28.45/4.62 % (1415594)Instruction limit reached! 28.45/4.62 % (1415594)------------------------------ 28.45/4.62 % (1415594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.45/4.62 % (1415594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.45/4.62 % (1415594)CaDiCaL version: 2.1.3 28.45/4.62 % (1415594)Termination reason: Instruction limit 28.45/4.62 % (1415594)Termination phase: Saturation 28.45/4.62 % (1415594)Time elapsed: 0.010 s 28.45/4.62 % (1415594)Peak memory usage: 12 MB 28.45/4.62 % (1415594)Instructions burned: 43 (million) 28.45/4.62 % (1415597)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2903169298:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1763 on theBenchmark for (1763ds/708Mi) 28.45/4.62 % (1415579)Instruction limit reached! 28.45/4.62 % (1415579)------------------------------ 28.45/4.62 % (1415579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.45/4.62 % (1415579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.45/4.62 % (1415579)CaDiCaL version: 2.1.3 28.45/4.62 % (1415579)Termination reason: Instruction limit 28.45/4.62 % (1415579)Termination phase: Saturation 28.45/4.62 % (1415579)Time elapsed: 0.140 s 28.45/4.62 % (1415579)Peak memory usage: 13 MB 28.45/4.62 % (1415579)Instructions burned: 283 (million) 28.45/4.62 % (1415599)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 30.29/4.98 % (1415593)Instruction limit reached! 30.29/4.98 % (1415593)------------------------------ 30.29/4.98 % (1415593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 30.29/4.98 % (1415593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 30.29/4.98 % (1415593)CaDiCaL version: 2.1.3 30.29/4.98 % (1415593)Termination reason: Instruction limit 30.29/4.98 % (1415593)Termination phase: Saturation 30.29/4.98 % (1415593)Time elapsed: 0.074 s 30.29/4.98 % (1415593)Peak memory usage: 12 MB 30.29/4.98 % (1415593)Instructions burned: 177 (million) 30.29/4.98 % (1415599)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2170814141:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_1763 on theBenchmark for (1763ds/252Mi) 30.29/4.98 % (1415599)Refutation not found, incomplete strategy 30.29/4.98 % (1415599)------------------------------ 30.29/4.98 % (1415599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 30.29/4.98 % (1415599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 30.29/4.98 % (1415599)CaDiCaL version: 2.1.3 30.29/4.98 % (1415599)Termination reason: Refutation not found, incomplete strategy 30.29/4.98 % (1415599)Time elapsed: 0.011 s 30.29/4.98 % (1415599)Peak memory usage: 12 MB 30.29/4.98 % (1415599)Instructions burned: 26 (million) 30.29/4.98 % (1415599)------------------------------ 30.29/4.98 % (1415599)------------------------------ 30.29/4.98 % (1415600)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3709033149:i=823:fsr=off:rtra=on_1763 on theBenchmark for (1763ds/823Mi) 30.29/4.98 % (1415584)Instruction limit reached! 30.29/4.98 % (1415584)------------------------------ 30.29/4.98 % (1415584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 30.29/4.98 % (1415584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 30.29/4.98 % (1415584)CaDiCaL version: 2.1.3 30.29/4.98 % (1415584)Termination reason: Instruction limit 30.29/4.98 % (1415584)Termination phase: Saturation 30.29/4.98 % (1415584)Time elapsed: 0.159 s 30.29/4.98 % (1415584)Peak memory usage: 12 MB 30.29/4.98 % (1415584)Instructions burned: 282 (million) 30.29/4.98 % (1415602)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100 30.29/4.98 % (1415602)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=4148920092:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_1763 on theBenchmark for (1763ds/16202Mi) 30.29/4.98 % (1415604)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3502818862:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_1762 on theBenchmark for (1762ds/300Mi) 30.29/4.98 % (1415597)Instruction limit reached! 30.29/4.98 % (1415597)------------------------------ 30.29/4.98 % (1415597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 30.29/4.98 % (1415597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 30.29/4.98 % (1415597)CaDiCaL version: 2.1.3 30.29/4.98 % (1415597)Termination reason: Instruction limit 30.29/4.98 % (1415597)Termination phase: Saturation 30.29/4.98 % (1415597)Time elapsed: 0.173 s 30.29/4.98 % (1415597)Peak memory usage: 17 MB 30.29/4.98 % (1415597)Instructions burned: 710 (million) 30.29/4.98 % (1415607)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on 30.29/4.98 % (1415607)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on 30.29/4.98 % (1415607)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=963812538:i=177:add=on:bd=preordered:rtra=on:rawr=on_1761 on theBenchmark for (1761ds/177Mi) 30.29/4.98 % (1415604)Instruction limit reached! 30.29/4.98 % (1415604)------------------------------ 30.29/4.98 % (1415604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 30.29/4.98 % (1415604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 30.29/4.98 % (1415604)CaDiCaL version: 2.1.3 30.29/4.98 % (1415604)Termination reason: Instruction limit 30.29/4.98 % (1415604)Termination phase: Saturation 30.29/4.98 % (1415604)Time elapsed: 0.128 s 30.29/4.98 % (1415604)Peak memory usage: 13 MB 30.29/4.98 % (1415604)Instructions burned: 302 (million) 30.29/4.98 % (1415607)Instruction limit reached! 34.86/5.48 % (1415607)------------------------------ 34.86/5.48 % (1415607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 34.86/5.48 % (1415607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 34.86/5.48 % (1415607)CaDiCaL version: 2.1.3 34.86/5.48 % (1415607)Termination reason: Instruction limit 34.86/5.48 % (1415607)Termination phase: Saturation 34.86/5.48 % (1415607)Time elapsed: 0.042 s 34.86/5.48 % (1415607)Peak memory usage: 13 MB 34.86/5.48 % (1415607)Instructions burned: 181 (million) 34.86/5.48 % (1415610)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on 34.86/5.48 % (1415610)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on 34.86/5.48 % (1415610)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=217362080:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_1761 on theBenchmark for (1761ds/230Mi) 34.86/5.48 % (1415610)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use 34.86/5.48 % (1415609)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2740767115:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_1761 on theBenchmark for (1761ds/715Mi) 34.86/5.48 % (1415610)Instruction limit reached! 34.86/5.48 % (1415610)------------------------------ 34.86/5.48 % (1415610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 34.86/5.48 % (1415610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 34.86/5.48 % (1415610)CaDiCaL version: 2.1.3 34.86/5.48 % (1415610)Termination reason: Instruction limit 34.86/5.48 % (1415610)Termination phase: Saturation 34.86/5.48 % (1415610)Time elapsed: 0.055 s 34.86/5.48 % (1415610)Peak memory usage: 13 MB 34.86/5.48 % (1415610)Instructions burned: 233 (million) 34.86/5.48 % (1415613)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3577046845:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_1760 on theBenchmark for (1760ds/606Mi) 34.86/5.48 % (1415600)Instruction limit reached! 34.86/5.48 % (1415600)------------------------------ 34.86/5.48 % (1415600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 34.86/5.48 % (1415600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 34.86/5.48 % (1415600)CaDiCaL version: 2.1.3 34.86/5.48 % (1415600)Termination reason: Instruction limit 34.86/5.48 % (1415600)Termination phase: Saturation 34.86/5.48 % (1415600)Time elapsed: 0.372 s 34.86/5.48 % (1415600)Peak memory usage: 14 MB 34.86/5.48 % (1415600)Instructions burned: 824 (million) 34.86/5.48 % (1415613)Instruction limit reached! 34.86/5.48 % (1415613)------------------------------ 34.86/5.48 % (1415613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 34.86/5.48 % (1415613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 34.86/5.48 % (1415613)CaDiCaL version: 2.1.3 34.86/5.48 % (1415613)Termination reason: Instruction limit 34.86/5.48 % (1415613)Termination phase: Saturation 34.86/5.48 % (1415613)Time elapsed: 0.145 s 34.86/5.48 % (1415613)Peak memory usage: 15 MB 34.86/5.48 % (1415613)Instructions burned: 610 (million) 34.86/5.48 % (1415615)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs 34.86/5.48 % (1415616)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3855961884:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1759 on theBenchmark for (1759ds/445Mi) 34.86/5.48 % (1415615)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2334980717:lrd=on:i=841:nm=0:rtra=on_1759 on theBenchmark for (1759ds/841Mi) 34.86/5.48 % (1415609)Instruction limit reached! 34.86/5.48 % (1415609)------------------------------ 34.86/5.48 % (1415609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 34.86/5.48 % (1415609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 34.86/5.48 % (1415609)CaDiCaL version: 2.1.3 34.86/5.48 % (1415609)Termination reason: Instruction limit 34.86/5.48 % (1415609)Termination phase: Saturation 34.86/5.48 % (1415609)Time elapsed: 0.307 s 34.86/5.48 % (1415609)Peak memory usage: 12 MB 34.86/5.48 % (1415609)Instructions burned: 717 (million) 34.86/5.48 % (1415616)Instruction limit reached! 35.49/5.56 % (1415616)------------------------------ 35.49/5.56 % (1415616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.49/5.56 % (1415616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.49/5.56 % (1415616)CaDiCaL version: 2.1.3 35.49/5.56 % (1415616)Termination reason: Instruction limit 35.49/5.56 % (1415616)Termination phase: Saturation 35.49/5.56 % (1415616)Time elapsed: 0.108 s 35.49/5.56 % (1415616)Peak memory usage: 14 MB 35.49/5.56 % (1415616)Instructions burned: 447 (million) 35.49/5.56 % (1415619)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=344067483:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_1758 on theBenchmark for (1758ds/71Mi) 35.49/5.56 % (1415620)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 35.49/5.56 % (1415620)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 35.49/5.56 % (1415620)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=282523220:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1757 on theBenchmark for (1757ds/100Mi) 35.49/5.56 % (1415620)Instruction limit reached! 35.49/5.56 % (1415620)------------------------------ 35.49/5.56 % (1415620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.49/5.56 % (1415620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.49/5.56 % (1415620)CaDiCaL version: 2.1.3 35.49/5.56 % (1415620)Termination reason: Instruction limit 35.49/5.56 % (1415620)Termination phase: Saturation 35.49/5.56 % (1415620)Time elapsed: 0.022 s 35.49/5.56 % (1415620)Peak memory usage: 12 MB 35.49/5.56 % (1415620)Instructions burned: 104 (million) 35.49/5.56 % (1415619)Instruction limit reached! 35.49/5.56 % (1415619)------------------------------ 35.49/5.56 % (1415619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.49/5.56 % (1415619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.49/5.56 % (1415619)CaDiCaL version: 2.1.3 35.49/5.56 % (1415619)Termination reason: Instruction limit 35.49/5.56 % (1415619)Termination phase: Saturation 35.49/5.56 % (1415619)Time elapsed: 0.034 s 35.49/5.56 % (1415619)Peak memory usage: 12 MB 35.49/5.56 % (1415619)Instructions burned: 73 (million) 35.49/5.56 % (1415623)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on 35.49/5.56 % (1415623)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=3969610794:i=1352:add=on:aac=none:rtra=on_1757 on theBenchmark for (1757ds/1352Mi) 35.49/5.56 % (1415624)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=1746845111:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_1757 on theBenchmark for (1757ds/646Mi) 35.49/5.56 % (1415615)Instruction limit reached! 35.49/5.56 % (1415615)------------------------------ 35.49/5.56 % (1415615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.49/5.56 % (1415615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.49/5.56 % (1415615)CaDiCaL version: 2.1.3 35.49/5.56 % (1415615)Termination reason: Instruction limit 35.49/5.56 % (1415615)Termination phase: Saturation 35.49/5.56 % (1415615)Time elapsed: 0.365 s 35.49/5.56 % (1415615)Peak memory usage: 17 MB 35.49/5.56 % (1415615)Instructions burned: 843 (million) 35.49/5.56 % (1415627)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=2816159670:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_1755 on theBenchmark for (1755ds/1924Mi) 35.49/5.56 % (1415623)Instruction limit reached! 35.49/5.56 % (1415623)------------------------------ 35.49/5.56 % (1415623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.49/5.56 % (1415623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.49/5.56 % (1415623)CaDiCaL version: 2.1.3 35.49/5.56 % (1415623)Termination reason: Instruction limit 35.49/5.56 % (1415623)Termination phase: Saturation 35.49/5.56 % (1415623)Time elapsed: 0.307 s 37.23/5.84 % (1415623)Peak memory usage: 16 MB 37.23/5.84 % (1415623)Instructions burned: 1355 (million) 37.23/5.84 % (1415629)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2065337383:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_1754 on theBenchmark for (1754ds/984Mi) 37.23/5.84 % (1415624)Instruction limit reached! 37.23/5.84 % (1415624)------------------------------ 37.23/5.84 % (1415624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 37.23/5.84 % (1415624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 37.23/5.84 % (1415624)CaDiCaL version: 2.1.3 37.23/5.84 % (1415624)Termination reason: Instruction limit 37.23/5.84 % (1415624)Termination phase: Saturation 37.23/5.84 % (1415624)Time elapsed: 0.338 s 37.23/5.84 % (1415624)Peak memory usage: 16 MB 37.23/5.84 % (1415624)Instructions burned: 646 (million) 37.23/5.84 % (1415631)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2181722493:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_1754 on theBenchmark for (1754ds/592Mi) 37.23/5.84 % (1415629)Instruction limit reached! 37.23/5.84 % (1415629)------------------------------ 37.23/5.84 % (1415629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 37.23/5.84 % (1415629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 37.23/5.84 % (1415629)CaDiCaL version: 2.1.3 37.23/5.84 % (1415629)Termination reason: Instruction limit 37.23/5.84 % (1415629)Termination phase: Saturation 37.23/5.84 % (1415629)Time elapsed: 0.242 s 37.23/5.84 % (1415629)Peak memory usage: 17 MB 37.23/5.84 % (1415629)Instructions burned: 989 (million) 37.23/5.84 % (1415633)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=3612629884:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_1751 on theBenchmark for (1751ds/872Mi) 37.23/5.84 % (1415633)Refutation not found, incomplete strategy 37.23/5.84 % (1415633)------------------------------ 37.23/5.84 % (1415633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 37.23/5.84 % (1415633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 37.23/5.84 % (1415633)CaDiCaL version: 2.1.3 37.23/5.84 % (1415633)Termination reason: Refutation not found, incomplete strategy 37.23/5.84 % (1415633)Time elapsed: 0.003 s 37.23/5.84 % (1415633)Peak memory usage: 12 MB 37.23/5.84 % (1415633)Instructions burned: 14 (million) 37.23/5.84 % (1415633)------------------------------ 37.23/5.84 % (1415633)------------------------------ 37.23/5.84 % (1415635)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on 37.23/5.84 % (1415635)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=335153070:i=999:add=on:rtra=on_1751 on theBenchmark for (1751ds/999Mi) 37.23/5.84 % (1415631)Instruction limit reached! 37.23/5.84 % (1415631)------------------------------ 37.23/5.84 % (1415631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 37.23/5.84 % (1415631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 37.23/5.84 % (1415631)CaDiCaL version: 2.1.3 37.23/5.84 % (1415631)Termination reason: Instruction limit 37.23/5.84 % (1415631)Termination phase: Saturation 37.23/5.84 % (1415631)Time elapsed: 0.282 s 37.23/5.84 % (1415631)Peak memory usage: 13 MB 37.23/5.84 % (1415631)Instructions burned: 593 (million) 37.23/5.84 % (1415637)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 37.23/5.84 % (1415637)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=2174875200:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_1750 on theBenchmark for (1750ds/244Mi) 37.23/5.84 % (1415637)Instruction limit reached! 37.23/5.84 % (1415637)------------------------------ 37.23/5.84 % (1415637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 37.23/5.84 % (1415637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 37.23/5.84 % (1415637)CaDiCaL version: 2.1.3 37.23/5.84 % (1415637)Termination reason: Instruction limit 37.23/5.84 % (1415637)Termination phase: Saturation 37.23/5.84 % (1415637)Time elapsed: 0.098 s 37.23/5.84 % (1415637)Peak memory usage: 12 MB 37.23/5.84 % (1415637)Instructions burned: 244 (million) 37.23/5.84 % (1415639)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=915110075:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_1749 on theBenchmark for (1749ds/113Mi) 39.70/6.12 % (1415635)Instruction limit reached! 39.70/6.12 % (1415635)------------------------------ 39.70/6.12 % (1415635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 39.70/6.12 % (1415635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 39.70/6.12 % (1415635)CaDiCaL version: 2.1.3 39.70/6.12 % (1415635)Termination reason: Instruction limit 39.70/6.12 % (1415635)Termination phase: Saturation 39.70/6.12 % (1415635)Time elapsed: 0.261 s 39.70/6.12 % (1415635)Peak memory usage: 16 MB 39.70/6.12 % (1415635)Instructions burned: 1003 (million) 39.70/6.12 % (1415641)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1483292823:i=7795:sd=2:nm=16:rtra=on:ss=axioms_1749 on theBenchmark for (1749ds/7795Mi) 39.70/6.12 % (1415627)Instruction limit reached! 39.70/6.12 % (1415627)------------------------------ 39.70/6.12 % (1415627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 39.70/6.12 % (1415627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 39.70/6.12 % (1415627)CaDiCaL version: 2.1.3 39.70/6.12 % (1415627)Termination reason: Instruction limit 39.70/6.12 % (1415627)Termination phase: Saturation 39.70/6.12 % (1415627)Time elapsed: 0.629 s 39.70/6.12 % (1415627)Peak memory usage: 14 MB 39.70/6.12 % (1415627)Instructions burned: 1926 (million) 39.70/6.12 % (1415641)Refutation not found, incomplete strategy 39.70/6.12 % (1415641)------------------------------ 39.70/6.12 % (1415641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 39.70/6.12 % (1415641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 39.70/6.12 % (1415641)CaDiCaL version: 2.1.3 39.70/6.12 % (1415641)Termination reason: Refutation not found, incomplete strategy 39.70/6.12 % (1415641)Time elapsed: 0.002 s 39.70/6.12 % (1415641)Peak memory usage: 12 MB 39.70/6.12 % (1415641)Instructions burned: 6 (million) 39.70/6.12 % (1415641)------------------------------ 39.70/6.12 % (1415641)------------------------------ 39.70/6.12 % (1415644)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on 39.70/6.12 % (1415644)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=4256930889:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_1748 on theBenchmark for (1748ds/763Mi) 39.70/6.12 % (1415644)Refutation not found, incomplete strategy 39.70/6.12 % (1415644)------------------------------ 39.70/6.12 % (1415644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 39.70/6.12 % (1415644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 39.70/6.12 % (1415644)CaDiCaL version: 2.1.3 39.70/6.12 % (1415644)Termination reason: Refutation not found, incomplete strategy 39.70/6.12 % (1415644)Time elapsed: 0.002 s 39.70/6.12 % (1415644)Peak memory usage: 12 MB 39.70/6.12 % (1415644)Instructions burned: 6 (million) 39.70/6.12 % (1415644)------------------------------ 39.70/6.12 % (1415644)------------------------------ 39.70/6.12 % (1415643)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1541632570:st=2:i=5026:sd=1:rtra=on:ss=axioms_1748 on theBenchmark for (1748ds/5026Mi) 39.70/6.12 % (1415643)Refutation not found, incomplete strategy 39.70/6.12 % (1415643)------------------------------ 39.70/6.12 % (1415643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 39.70/6.12 % (1415643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 39.70/6.12 % (1415643)CaDiCaL version: 2.1.3 39.70/6.12 % (1415643)Termination reason: Refutation not found, incomplete strategy 39.70/6.12 % (1415643)Time elapsed: 0.004 s 39.70/6.12 % (1415643)Peak memory usage: 12 MB 39.70/6.12 % (1415643)Instructions burned: 8 (million) 39.70/6.12 % (1415643)------------------------------ 39.70/6.12 % (1415643)------------------------------ 39.70/6.12 % (1415646)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2186972531:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1748 on theBenchmark for (1748ds/1144Mi) 39.70/6.12 % (1415639)Instruction limit reached! 39.70/6.12 % (1415639)------------------------------ 39.70/6.12 % (1415639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 39.70/6.12 % (1415639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 41.31/6.46 % (1415639)CaDiCaL version: 2.1.3 41.31/6.46 % (1415639)Termination reason: Instruction limit 41.31/6.46 % (1415639)Termination phase: Saturation 41.31/6.46 % (1415639)Time elapsed: 0.086 s 41.31/6.46 % (1415639)Peak memory usage: 13 MB 41.31/6.46 % (1415639)Instructions burned: 113 (million) 41.31/6.46 % (1415649)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on 41.31/6.46 % (1415649)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=3594083917:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_1748 on theBenchmark for (1748ds/52Mi) 41.31/6.46 % (1415650)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2294008381:i=1724:fsr=off:rtra=on:fe=abstraction_1748 on theBenchmark for (1748ds/1724Mi) 41.31/6.46 % (1415649)Instruction limit reached! 41.31/6.46 % (1415649)------------------------------ 41.31/6.46 % (1415649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 41.31/6.46 % (1415649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 41.31/6.46 % (1415649)CaDiCaL version: 2.1.3 41.31/6.46 % (1415649)Termination reason: Instruction limit 41.31/6.46 % (1415649)Termination phase: Saturation 41.31/6.46 % (1415649)Time elapsed: 0.023 s 41.31/6.46 % (1415649)Peak memory usage: 12 MB 41.31/6.46 % (1415649)Instructions burned: 54 (million) 41.31/6.46 % (1415653)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=210142815:i=439:add=on:slsql=off:rtra=on:ntd=on_1748 on theBenchmark for (1748ds/439Mi) 41.31/6.46 % (1415587)Instruction limit reached! 41.31/6.46 % (1415587)------------------------------ 41.31/6.46 % (1415587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 41.31/6.46 % (1415587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 41.31/6.46 % (1415587)CaDiCaL version: 2.1.3 41.31/6.46 % (1415587)Termination reason: Instruction limit 41.31/6.46 % (1415587)Termination phase: Saturation 41.31/6.46 % (1415587)Time elapsed: 1.798 s 41.31/6.46 % (1415587)Peak memory usage: 15 MB 41.31/6.46 % (1415587)Instructions burned: 4388 (million) 41.31/6.46 % (1415655)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4180198130:i=6395:sd=1:rtra=on:ss=axioms_1746 on theBenchmark for (1746ds/6395Mi) 41.31/6.46 % (1415655)Refutation not found, incomplete strategy 41.31/6.46 % (1415655)------------------------------ 41.31/6.46 % (1415655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 41.31/6.46 % (1415655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 41.31/6.46 % (1415655)CaDiCaL version: 2.1.3 41.31/6.46 % (1415655)Termination reason: Refutation not found, incomplete strategy 41.31/6.46 % (1415655)Time elapsed: 0.003 s 41.31/6.46 % (1415655)Peak memory usage: 12 MB 41.31/6.46 % (1415655)Instructions burned: 6 (million) 41.31/6.46 % (1415655)------------------------------ 41.31/6.46 % (1415655)------------------------------ 41.31/6.46 % (1415653)Instruction limit reached! 41.31/6.46 % (1415653)------------------------------ 41.31/6.46 % (1415653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 41.31/6.46 % (1415653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 41.31/6.46 % (1415653)CaDiCaL version: 2.1.3 41.31/6.46 % (1415653)Termination reason: Instruction limit 41.31/6.46 % (1415653)Termination phase: Saturation 41.31/6.46 % (1415653)Time elapsed: 0.203 s 41.31/6.46 % (1415653)Peak memory usage: 17 MB 41.31/6.46 % (1415653)Instructions burned: 439 (million) 41.31/6.46 % (1415657)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on 41.31/6.46 % (1415646)Instruction limit reached! 41.31/6.46 % (1415646)------------------------------ 41.31/6.46 % (1415646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 41.31/6.46 % (1415646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 41.31/6.46 % (1415646)CaDiCaL version: 2.1.3 41.31/6.46 % (1415646)Termination reason: Instruction limit 41.31/6.46 % (1415646)Termination phase: Saturation 41.31/6.46 % (1415646)Time elapsed: 0.276 s 41.31/6.46 % (1415646)Peak memory usage: 15 MB 41.31/6.46 % (1415646)Instructions burned: 1144 (million) 41.31/6.46 % (1415657)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=635301180:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_1746 on theBenchmark for (1746ds/6762Mi) 42.54/6.64 % (1415658)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 42.54/6.64 % (1415657)Refutation not found, incomplete strategy 42.54/6.64 % (1415657)------------------------------ 42.54/6.64 % (1415657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.54/6.64 % (1415657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.54/6.64 % (1415657)CaDiCaL version: 2.1.3 42.54/6.64 % (1415657)Termination reason: Refutation not found, incomplete strategy 42.54/6.64 % (1415657)Time elapsed: 0.003 s 42.54/6.64 % (1415657)Peak memory usage: 12 MB 42.54/6.64 % (1415657)Instructions burned: 6 (million) 42.54/6.64 % (1415658)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=874920919:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_1745 on theBenchmark for (1745ds/376Mi) 42.54/6.64 % (1415657)------------------------------ 42.54/6.64 % (1415657)------------------------------ 42.54/6.64 % (1415659)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3541560994:i=965:bd=all:ins=4:rtra=on_1745 on theBenchmark for (1745ds/965Mi) 42.54/6.64 % (1415662)lrs+10_1_sil=128000:si=on:urr=on:random_seed=816945129:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_1745 on theBenchmark for (1745ds/5013Mi) 42.54/6.64 % (1415658)Instruction limit reached! 42.54/6.64 % (1415658)------------------------------ 42.54/6.64 % (1415658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.54/6.64 % (1415658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.54/6.64 % (1415658)CaDiCaL version: 2.1.3 42.54/6.64 % (1415658)Termination reason: Instruction limit 42.54/6.64 % (1415658)Termination phase: Saturation 42.54/6.64 % (1415658)Time elapsed: 0.170 s 42.54/6.64 % (1415658)Peak memory usage: 13 MB 42.54/6.64 % (1415658)Instructions burned: 377 (million) 42.54/6.64 % (1415665)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2729506919:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_1744 on theBenchmark for (1744ds/1583Mi) 42.54/6.64 % (1415659)Instruction limit reached! 42.54/6.64 % (1415659)------------------------------ 42.54/6.64 % (1415659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.54/6.64 % (1415659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.54/6.64 % (1415659)CaDiCaL version: 2.1.3 42.54/6.64 % (1415659)Termination reason: Instruction limit 42.54/6.64 % (1415659)Termination phase: Saturation 42.54/6.64 % (1415659)Time elapsed: 0.264 s 42.54/6.64 % (1415659)Peak memory usage: 22 MB 42.54/6.64 % (1415659)Instructions burned: 966 (million) 42.54/6.64 % (1415667)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on 42.54/6.64 % (1415667)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on 42.54/6.64 % (1415667)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 42.54/6.64 % (1415667)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on 42.54/6.64 % (1415667)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=3347820730:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_1743 on theBenchmark for (1743ds/1774Mi) 42.54/6.64 % (1415667)Refutation not found, incomplete strategy 42.54/6.64 % (1415667)------------------------------ 42.54/6.64 % (1415667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.54/6.64 % (1415667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.54/6.64 % (1415667)CaDiCaL version: 2.1.3 42.54/6.64 % (1415667)Termination reason: Refutation not found, incomplete strategy 42.54/6.64 % (1415667)Time elapsed: 0.002 s 42.54/6.64 % (1415667)Peak memory usage: 12 MB 42.54/6.64 % (1415667)Instructions burned: 6 (million) 42.54/6.64 % (1415667)------------------------------ 46.75/7.07 % (1415667)------------------------------ 46.75/7.07 % (1415669)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=937231242:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_1742 on theBenchmark for (1742ds/515Mi) 46.75/7.07 % (1415669)Refutation not found, incomplete strategy 46.75/7.07 % (1415669)------------------------------ 46.75/7.07 % (1415669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.75/7.07 % (1415669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.75/7.07 % (1415669)CaDiCaL version: 2.1.3 46.75/7.07 % (1415669)Termination reason: Refutation not found, incomplete strategy 46.75/7.07 % (1415669)Time elapsed: 0.006 s 46.75/7.07 % (1415669)Peak memory usage: 13 MB 46.75/7.07 % (1415669)Instructions burned: 24 (million) 46.75/7.07 % (1415669)------------------------------ 46.75/7.07 % (1415669)------------------------------ 46.75/7.07 % (1415671)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 46.75/7.07 % (1415671)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=762492869:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_1742 on theBenchmark for (1742ds/1297Mi) 46.75/7.07 % (1415553)Instruction limit reached! 46.75/7.07 % (1415553)------------------------------ 46.75/7.07 % (1415553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.75/7.07 % (1415553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.75/7.07 % (1415553)CaDiCaL version: 2.1.3 46.75/7.07 % (1415553)Termination reason: Instruction limit 46.75/7.07 % (1415553)Termination phase: Saturation 46.75/7.07 % (1415553)Time elapsed: 2.955 s 46.75/7.07 % (1415553)Peak memory usage: 50 MB 46.75/7.07 % (1415553)Instructions burned: 6360 (million) 46.75/7.07 % (1415673)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1279621971:s2a=on:i=611:rtra=on:gsp=on_1741 on theBenchmark for (1741ds/611Mi) 46.75/7.07 % (1415673)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 46.75/7.07 % (1415403)Instruction limit reached! 46.75/7.07 % (1415403)------------------------------ 46.75/7.07 % (1415403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.75/7.07 % (1415403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.75/7.07 % (1415403)CaDiCaL version: 2.1.3 46.75/7.07 % (1415403)Termination reason: Instruction limit 46.75/7.07 % (1415403)Termination phase: Saturation 46.75/7.07 % (1415403)Time elapsed: 5.036 s 46.75/7.07 % (1415403)Peak memory usage: 44 MB 46.75/7.07 % (1415403)Instructions burned: 9840 (million) 46.75/7.07 % (1415675)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 46.75/7.07 % (1415675)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2175081115:i=72:bd=all:rtra=on_1741 on theBenchmark for (1741ds/72Mi) 46.75/7.07 % (1415675)Instruction limit reached! 46.75/7.07 % (1415675)------------------------------ 46.75/7.07 % (1415675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.75/7.07 % (1415675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.75/7.07 % (1415675)CaDiCaL version: 2.1.3 46.75/7.07 % (1415675)Termination reason: Instruction limit 46.75/7.07 % (1415675)Termination phase: Saturation 46.75/7.07 % (1415675)Time elapsed: 0.031 s 46.75/7.07 % (1415675)Peak memory usage: 13 MB 46.75/7.07 % (1415675)Instructions burned: 73 (million) 46.75/7.07 % (1415677)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2660196194:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_1740 on theBenchmark for (1740ds/6580Mi) 46.75/7.07 % (1415650)Instruction limit reached! 46.75/7.07 % (1415650)------------------------------ 46.75/7.07 % (1415650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.75/7.07 % (1415650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.75/7.07 % (1415650)CaDiCaL version: 2.1.3 46.75/7.07 % (1415650)Termination reason: Instruction limit 46.75/7.07 % (1415650)Termination phase: Saturation 47.85/7.70 % (1415650)Time elapsed: 0.872 s 47.85/7.70 % (1415650)Peak memory usage: 20 MB 47.85/7.70 % (1415650)Instructions burned: 1725 (million) 47.85/7.70 % (1415671)Instruction limit reached! 47.85/7.70 % (1415671)------------------------------ 47.85/7.70 % (1415671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415671)CaDiCaL version: 2.1.3 47.85/7.70 % (1415671)Termination reason: Instruction limit 47.85/7.70 % (1415671)Termination phase: Saturation 47.85/7.70 % (1415671)Time elapsed: 0.305 s 47.85/7.70 % (1415671)Peak memory usage: 16 MB 47.85/7.70 % (1415671)Instructions burned: 1301 (million) 47.85/7.70 % (1415679)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=471368306:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_1739 on theBenchmark for (1739ds/6209Mi) 47.85/7.70 % (1415680)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=802761998:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_1739 on theBenchmark for (1739ds/1003Mi) 47.85/7.70 % (1415673)Instruction limit reached! 47.85/7.70 % (1415673)------------------------------ 47.85/7.70 % (1415673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415673)CaDiCaL version: 2.1.3 47.85/7.70 % (1415673)Termination reason: Instruction limit 47.85/7.70 % (1415673)Termination phase: Saturation 47.85/7.70 % (1415673)Time elapsed: 0.287 s 47.85/7.70 % (1415673)Peak memory usage: 14 MB 47.85/7.70 % (1415673)Instructions burned: 612 (million) 47.85/7.70 % (1415680)Refutation not found, incomplete strategy 47.85/7.70 % (1415680)------------------------------ 47.85/7.70 % (1415680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415680)CaDiCaL version: 2.1.3 47.85/7.70 % (1415680)Termination reason: Refutation not found, incomplete strategy 47.85/7.70 % (1415680)Time elapsed: 0.086 s 47.85/7.70 % (1415680)Peak memory usage: 13 MB 47.85/7.70 % (1415680)Instructions burned: 109 (million) 47.85/7.70 % (1415680)------------------------------ 47.85/7.70 % (1415680)------------------------------ 47.85/7.70 % (1415683)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on 47.85/7.70 % (1415683)ott+1002_16_sil=128000:si=on:random_seed=1627185945:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_1738 on theBenchmark for (1738ds/409Mi) 47.85/7.70 % (1415684)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=4148817344:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_1738 on theBenchmark for (1738ds/403Mi) 47.85/7.70 % (1415684)Refutation not found, incomplete strategy 47.85/7.70 % (1415684)------------------------------ 47.85/7.70 % (1415684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415684)CaDiCaL version: 2.1.3 47.85/7.70 % (1415684)Termination reason: Refutation not found, incomplete strategy 47.85/7.70 % (1415684)Time elapsed: 0.004 s 47.85/7.70 % (1415684)Peak memory usage: 12 MB 47.85/7.70 % (1415684)Instructions burned: 7 (million) 47.85/7.70 % (1415684)------------------------------ 47.85/7.70 % (1415684)------------------------------ 47.85/7.70 % (1415687)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=2970174516:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_1738 on theBenchmark for (1738ds/6843Mi) 47.85/7.70 % (1415687)Refutation not found, incomplete strategy 47.85/7.70 % (1415687)------------------------------ 47.85/7.70 % (1415687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415687)CaDiCaL version: 2.1.3 47.85/7.70 % (1415687)Termination reason: Refutation not found, incomplete strategy 47.85/7.70 % (1415687)Time elapsed: 0.011 s 47.85/7.70 % (1415687)Peak memory usage: 12 MB 47.85/7.70 % (1415687)Instructions burned: 20 (million) 47.85/7.70 % (1415687)------------------------------ 47.85/7.70 % (1415687)------------------------------ 47.85/7.70 % (1415689)lrs+10_2:1_si=on:random_seed=1937511196:s2a=on:i=506:rtra=on:fe=abstraction_1738 on theBenchmark for (1738ds/506Mi) 47.85/7.70 % (1415665)Instruction limit reached! 47.85/7.70 % (1415665)------------------------------ 47.85/7.70 % (1415665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415665)CaDiCaL version: 2.1.3 47.85/7.70 % (1415665)Termination reason: Instruction limit 47.85/7.70 % (1415665)Termination phase: Saturation 47.85/7.70 % (1415665)Time elapsed: 0.653 s 47.85/7.70 % (1415665)Peak memory usage: 16 MB 47.85/7.70 % (1415665)Instructions burned: 1584 (million) 47.85/7.70 % (1415691)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3221574054:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_1737 on theBenchmark for (1737ds/888Mi) 47.85/7.70 % (1415683)Instruction limit reached! 47.85/7.70 % (1415683)------------------------------ 47.85/7.70 % (1415683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415683)CaDiCaL version: 2.1.3 47.85/7.70 % (1415683)Termination reason: Instruction limit 47.85/7.70 % (1415683)Termination phase: Saturation 47.85/7.70 % (1415683)Time elapsed: 0.196 s 47.85/7.70 % (1415683)Peak memory usage: 14 MB 47.85/7.70 % (1415683)Instructions burned: 411 (million) 47.85/7.70 % (1415693)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on 47.85/7.70 % (1415693)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=1442984603:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_1736 on theBenchmark for (1736ds/416Mi) 47.85/7.70 % (1415689)Instruction limit reached! 47.85/7.70 % (1415689)------------------------------ 47.85/7.70 % (1415689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415689)CaDiCaL version: 2.1.3 47.85/7.70 % (1415689)Termination reason: Instruction limit 47.85/7.70 % (1415689)Termination phase: Saturation 47.85/7.70 % (1415689)Time elapsed: 0.228 s 47.85/7.70 % (1415689)Peak memory usage: 14 MB 47.85/7.70 % (1415689)Instructions burned: 507 (million) 47.85/7.70 % (1415695)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=2141915781:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_1735 on theBenchmark for (1735ds/13534Mi) 47.85/7.70 % (1415693)Instruction limit reached! 47.85/7.70 % (1415693)------------------------------ 47.85/7.70 % (1415693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415693)CaDiCaL version: 2.1.3 47.85/7.70 % (1415693)Termination reason: Instruction limit 47.85/7.70 % (1415693)Termination phase: Saturation 47.85/7.70 % (1415693)Time elapsed: 0.182 s 47.85/7.70 % (1415693)Peak memory usage: 13 MB 47.85/7.70 % (1415693)Instructions burned: 416 (million) 47.85/7.70 % (1415697)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on 47.85/7.70 % (1415697)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=2109242045:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_1734 on theBenchmark for (1734ds/206Mi) 47.85/7.70 % (1415691)Instruction limit reached! 47.85/7.70 % (1415691)------------------------------ 47.85/7.70 % (1415691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415691)CaDiCaL version: 2.1.3 47.85/7.70 % (1415691)Termination reason: Instruction limit 47.85/7.70 % (1415691)Termination phase: Saturation 47.85/7.70 % (1415691)Time elapsed: 0.358 s 47.85/7.70 % (1415691)Peak memory usage: 13 MB 47.85/7.70 % (1415691)Instructions burned: 890 (million) 47.85/7.70 % (1415697)Instruction limit reached! 47.85/7.70 % (1415697)------------------------------ 47.85/7.70 % (1415697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415697)CaDiCaL version: 2.1.3 47.85/7.70 % (1415697)Termination reason: Instruction limit 47.85/7.70 % (1415697)Termination phase: Saturation 47.85/7.70 % (1415697)Time elapsed: 0.081 s 47.85/7.70 % (1415697)Peak memory usage: 12 MB 47.85/7.70 % (1415697)Instructions burned: 207 (million) 47.85/7.70 % (1415699)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=2284083134:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_1733 on theBenchmark for (1733ds/2295Mi) 47.85/7.70 % (1415700)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3114886767:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_1733 on theBenchmark for (1733ds/637Mi) 47.85/7.70 % (1415700)Instruction limit reached! 47.85/7.70 % (1415700)------------------------------ 47.85/7.70 % (1415700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415700)CaDiCaL version: 2.1.3 47.85/7.70 % (1415700)Termination reason: Instruction limit 47.85/7.70 % (1415700)Termination phase: Saturation 47.85/7.70 % (1415700)Time elapsed: 0.323 s 47.85/7.70 % (1415700)Peak memory usage: 15 MB 47.85/7.70 % (1415700)Instructions burned: 638 (million) 47.85/7.70 % (1415703)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1217523598:hsq=on:i=667:rtra=on:ixr=off_1730 on theBenchmark for (1730ds/667Mi) 47.85/7.70 % (1415679)Instruction limit reached! 47.85/7.70 % (1415679)------------------------------ 47.85/7.70 % (1415679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.70 % (1415679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.70 % (1415679)CaDiCaL version: 2.1.3 47.85/7.70 % (1415679)Termination reason: Instruction limit 47.85/7.70 % (1415679)Termination phase: Saturation 47.85/7.70 % (1415679)Time elapsed: 1.094 s 47.85/7.70 % (1415679)Peak memory usage: 13 MB 47.85/7.70 % (1415679)Instructions burned: 6209 (million) 47.85/7.70 % (1415705)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2139003076:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_1728 on theBenchmark for (1728ds/1801Mi) 47.85/7.70 % (1415705) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1415232-1415705"... 47.85/7.70 % (1415705)...printing done. 47.85/7.70 % (1415705)Refutation found. Thanks to Tanya! 47.85/7.70 % SZS status Theorem for theBenchmark 47.85/7.70 % SZS output start Proof for theBenchmark 47.85/7.70 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType). 47.85/7.70 thf(func_def_0, type, irel: ($i > $i > $o)). 47.85/7.70 thf(func_def_1, type, mnot: (($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_3, type, mor: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_4, type, mand: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_5, type, mimplies: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_6, type, mbox_s4: (($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_7, type, iatom: (($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_8, type, inot: (($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_9, type, itrue: ($i > $o)). 47.85/7.70 thf(func_def_10, type, ifalse: ($i > $o)). 47.85/7.70 thf(func_def_11, type, iand: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_12, type, ior: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_13, type, iimplies: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_14, type, iimplied: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_15, type, iequiv: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_16, type, ixor: (($i > $o) > ($i > $o) > $i > $o)). 47.85/7.70 thf(func_def_17, type, ivalid: (($i > $o) > $o)). 47.85/7.70 thf(func_def_18, type, isatisfiable: (($i > $o) > $o)). 47.85/7.70 thf(func_def_19, type, icountersatisfiable: (($i > $o) > $o)). 47.85/7.70 thf(func_def_20, type, iinvalid: (($i > $o) > $o)). 47.85/7.70 thf(func_def_21, type, a0: ($i > $o)). 47.85/7.70 thf(func_def_22, type, a1: ($i > $o)). 47.85/7.70 thf(func_def_23, type, a2: ($i > $o)). 47.85/7.70 thf(func_def_24, type, b0: ($i > $o)). 47.85/7.70 thf(func_def_25, type, b1: ($i > $o)). 47.85/7.70 thf(func_def_26, type, b2: ($i > $o)). 47.85/7.70 thf(func_def_27, type, f: ($i > $o)). 47.85/7.70 thf(func_def_28, type, db1: !>[X0: $tType]:(X0)). 47.85/7.70 thf(func_def_29, type, db0: !>[X0: $tType]:(X0)). 47.85/7.70 thf(func_def_30, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))). 47.85/7.70 thf(func_def_33, type, vNOT: ($o > $o)). 47.85/7.70 thf(func_def_34, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))). 47.85/7.70 thf(func_def_35, type, vIMP: ($o > $o > $o)). 47.85/7.70 thf(func_def_36, type, db2: !>[X0: $tType]:(X0)). 47.85/7.70 thf(func_def_37, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))). 47.85/7.70 thf(func_def_38, type, vAND: ($o > $o > $o)). 47.85/7.70 thf(func_def_39, type, vOR: ($o > $o > $o)). 47.85/7.70 thf(func_def_42, type, sK2: ($i > $i)). 47.85/7.70 thf(func_def_43, type, sK3: ($i > $i)). 47.85/7.70 thf(func_def_44, type, sK4: ($i > $i)). 47.85/7.70 thf(func_def_45, type, sK5: ($i > $i)). 47.85/7.70 thf(func_def_46, type, sK6: ($i > $i)). 47.85/7.70 thf(func_def_47, type, sK7: ($i > $i)). 47.85/7.70 thf(func_def_49, type, sK9: ($i > $i)). 47.85/7.70 thf(func_def_50, type, sF10: !>[X0: $tType]:(($i > ($i > X0) > X0))). 47.85/7.70 thf(func_def_51, type, sF11: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > X0 > X1 > X2))). 47.85/7.70 thf(f1,axiom,( 47.85/7.70 ((^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))) = mnot)), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mnot)). 47.85/7.70 thf(f2,axiom,( 47.85/7.70 ((^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mor)). 47.85/7.70 thf(f3,axiom,( 47.85/7.70 ((^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) & (X0 @ X2))) = mand)), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mand)). 47.85/7.70 thf(f4,axiom,( 47.85/7.70 ((^[X0 : ($i > $o), X1 : ($i > $o)] : ((mor @ (mnot @ X0) @ X1))) = mimplies)), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mimplies)). 47.85/7.70 thf(f5,axiom,( 47.85/7.70 (mbox_s4 = (^[X0 : ($i > $o), X1 : $i] : (! [X2 : $i] : ((irel @ X1 @ X2) => (X0 @ X2)))))), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mbox_s4)). 47.85/7.70 thf(f6,axiom,( 47.85/7.70 (iatom = (^[X0 : ($i > $o)] : (X0)))), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iatom)). 47.85/7.70 thf(f10,axiom,( 47.85/7.70 (iand = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mand @ X0 @ X1))))), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iand)). 47.85/7.70 thf(f12,axiom,( 47.85/7.70 ((^[X0 : ($i > $o), X1 : ($i > $o)] : ((mimplies @ (mbox_s4 @ X0) @ (mbox_s4 @ X1)))) = iimplies)), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iimplies)). 47.85/7.70 thf(f16,axiom,( 47.85/7.70 ((^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))) = ivalid)), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',ivalid)). 47.85/7.70 thf(f20,axiom,( 47.85/7.70 ! [X0 : $i,X2 : $i,X1 : $i] : (((irel @ X0 @ X1) & (irel @ X1 @ X2)) => (irel @ X0 @ X2))), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',trans_axiom)). 47.85/7.70 thf(f21,axiom,( 47.85/7.70 ! [X0 : $i] : (irel @ X0 @ X0)), 47.85/7.70 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',refl_axiom)). 47.85/7.70 thf(f22,conjecture,( 47.85/7.70 (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f))))), 47.85/7.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)). 47.85/7.70 thf(f23,negated_conjecture,( 47.85/7.70 ~(ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f))))), 47.85/7.70 inference(negated_conjecture,[status(cth)],[f22])). 47.85/7.70 thf(f24,plain,( 47.85/7.70 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))), 47.85/7.70 inference(fool_elimination,[],[f12])). 47.85/7.70 thf(f26,plain,( 47.85/7.70 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))), 47.85/7.70 inference(fool_elimination,[],[f10])). 47.85/7.70 thf(f28,plain,( 47.85/7.70 (iatom = (^[Y0 : $i > $o]: (Y0)))), 47.85/7.70 inference(fool_elimination,[],[f6])). 47.85/7.70 thf(f29,plain,( 47.85/7.70 ~(ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f))))), 47.85/7.70 inference(rectify,[],[f23])). 47.85/7.70 thf(f30,plain,( 47.85/7.70 ($true = ((~ (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f)))))))), 47.85/7.70 inference(fool_elimination,[],[f29])). 47.85/7.70 thf(f31,plain,( 47.85/7.70 (mbox_s4 = (^[X0 : ($i > $o), X1 : $i] : (! [X2 : $i] : ((irel @ X1 @ X2) => (X0 @ X2)))))), 47.85/7.70 inference(rectify,[],[f5])). 47.85/7.70 thf(f32,plain,( 47.85/7.70 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))), 47.85/7.70 inference(fool_elimination,[],[f31])). 47.85/7.70 thf(f34,plain,( 47.85/7.70 ((^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))) = ivalid)), 47.85/7.70 inference(rectify,[],[f16])). 47.85/7.70 thf(f35,plain,( 47.85/7.70 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 47.85/7.70 inference(fool_elimination,[],[f34])). 47.85/7.70 thf(f38,plain,( 47.85/7.70 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 47.85/7.70 inference(fool_elimination,[],[f4])). 47.85/7.70 thf(f41,plain,( 47.85/7.70 ((^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) & (X0 @ X2))) = mand)), 47.85/7.70 inference(rectify,[],[f3])). 47.85/7.70 thf(f42,plain,( 47.85/7.70 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))), 47.85/7.70 inference(fool_elimination,[],[f41])). 47.85/7.70 thf(f44,plain,( 47.85/7.70 ((^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))) = mnot)), 47.85/7.70 inference(rectify,[],[f1])). 47.85/7.70 thf(f45,plain,( 47.85/7.70 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 47.85/7.70 inference(fool_elimination,[],[f44])). 47.85/7.70 thf(f46,plain,( 47.85/7.70 ((^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)), 47.85/7.70 inference(rectify,[],[f2])). 47.85/7.70 thf(f47,plain,( 47.85/7.70 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 47.85/7.70 inference(fool_elimination,[],[f46])). 47.85/7.70 thf(f53,plain,( 47.85/7.70 ! [X0 : $i] : (irel @ X0 @ X0)), 47.85/7.70 inference(rectify,[],[f21])). 47.85/7.70 thf(f54,plain,( 47.85/7.70 ($true = ((!! @ $i @ (^[Y0 : $i]: (irel @ Y0 @ Y0)))))), 47.85/7.70 inference(fool_elimination,[],[f53])). 47.85/7.70 thf(f55,plain,( 47.85/7.70 ! [X0 : $i,X1 : $i,X2 : $i] : (((irel @ X0 @ X2) & (irel @ X2 @ X1)) => (irel @ X0 @ X1))), 47.85/7.70 inference(rectify,[],[f20])). 47.85/7.70 thf(f56,plain,( 47.85/7.70 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y0 @ Y1) & (irel @ Y2 @ Y0)) => (irel @ Y2 @ Y1))))))))) = $true)), 47.85/7.70 inference(fool_elimination,[],[f55])). 47.85/7.70 thf(f57,plain,( 47.85/7.70 ($true = ((~ (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f)))))))), 47.85/7.70 inference(cnf_transformation,[],[f30])). 47.85/7.70 thf(f59,plain,( 47.85/7.70 (((!! 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@ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))), 47.85/7.70 inference(cnf_transformation,[],[f32])). 47.85/7.70 thf(f81,plain,( 47.85/7.70 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 47.85/7.70 inference(definition_unfolding,[],[f69,f61,f72])). 47.85/7.70 thf(f84,plain,( 47.85/7.70 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))))), 47.85/7.70 inference(definition_unfolding,[],[f63,f65])). 47.85/7.70 thf(f86,plain,( 47.85/7.70 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! 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@ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b1) @ ((^[Y0 : $i > $o]: (Y0)) @ a2)) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b0) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[Y0 : $i > $o]: (Y0)) @ a0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b2) @ ((^[Y0 : $i > $o]: (Y0)) @ b0)) @ ((^[Y0 : $i > $o]: (Y0)) @ a2)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a0) @ ((^[Y0 : $i > $o]: (Y0)) @ f))))) @ ((^[Y0 : $i > $o]: (Y0)) @ f)))))) = $true)), 47.85/7.70 inference(definition_unfolding,[],[f57,f62,f84,f86,f84,f86,f66,f66,f84,f86,f86,f66,f66,f66,f84,f86,f86,f66,f66,f66,f86,f86,f66,f66,f66,f66,f86,f84,f86,f86,f66,f66,f66,f84,f86,f86,f66,f66,f66,f84,f86,f86,f66,f66,f66,f86,f66,f66,f66])). 47.85/7.70 thf(f91,plain,( 47.85/7.70 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))))))))))))))))))), 47.85/7.70 inference(beta-eta_normalization,[],[f90])). 47.85/7.70 thf(f92,plain,( 47.85/7.70 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y0 @ Y1) & (irel @ Y2 @ Y0)) => (irel @ Y2 @ Y1))))))) @ X1)) = $true)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f59])). 47.85/7.70 thf(f93,plain,( 47.85/7.70 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((irel @ X1 @ Y0) & (irel @ Y1 @ X1)) => (irel @ Y1 @ Y0))))))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f92])). 47.85/7.70 thf(f94,plain,( 47.85/7.70 ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))))))))))))))))), 47.85/7.70 inference(not_proxy_clausification,[],[f91])). 47.85/7.70 thf(f95,plain,( 47.85/7.70 ( ! [X1 : $i] : (((((^[Y0 : $i]: (irel @ Y0 @ Y0)) @ X1)) = $true)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f64])). 47.85/7.70 thf(f96,plain,( 47.85/7.70 ( ! [X1 : $i] : ((((irel @ X1 @ X1)) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f95])). 47.85/7.70 thf(f97,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((irel @ X1 @ Y0) & (irel @ Y1 @ X1)) => (irel @ Y1 @ Y0))))) @ X2)) = $true)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f93])). 47.85/7.70 thf(f98,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (((irel @ X1 @ X2) & (irel @ Y0 @ X1)) => (irel @ Y0 @ X2))))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f97])). 47.85/7.70 thf(f99,plain,( 47.85/7.70 ((((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))))))))))))) @ sK0)) = $false)), 47.85/7.70 inference(sigma_proxy_clausification,[],[f94])). 47.85/7.70 thf(f100,plain,( 47.85/7.70 (((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))))) = $false)), 47.85/7.70 inference(beta-eta_normalization,[],[f99])). 47.85/7.70 thf(f101,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (((irel @ X1 @ X2) & (irel @ Y0 @ X1)) => (irel @ Y0 @ X2))) @ X3)))) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f98])). 47.85/7.70 thf(f102,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((((irel @ X1 @ X2) & (irel @ X3 @ X1)) => (irel @ X3 @ X2))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f101])). 47.85/7.70 thf(f103,plain,( 47.85/7.70 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2)))))))))))))))))))) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))))))) = $false)), 47.85/7.70 inference(and_proxy_clausification,[],[f100])). 47.85/7.70 thf(f104,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X3 @ X2)) = $true) | ((((irel @ X1 @ X2) & (irel @ X3 @ X1))) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f102])). 47.85/7.70 thf(f105,plain,( 47.85/7.70 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))))))))))) = $false)), 47.85/7.70 inference(or_proxy_clausification,[],[f103])). 47.85/7.70 thf(f106,plain,( 47.85/7.70 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0))))) = $false)), 47.85/7.70 inference(or_proxy_clausification,[],[f103])). 47.85/7.70 thf(f107,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X3 @ X2)) = $true) | (((irel @ X3 @ X1)) = $false) | (((irel @ X1 @ X2)) = $false)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f104])). 47.85/7.70 thf(f108,plain,( 47.85/7.70 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))))))))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))) = $false)), 47.85/7.70 inference(or_proxy_clausification,[],[f105])). 47.85/7.70 thf(f111,plain,( 47.85/7.70 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0))))) = $false)), 47.85/7.70 inference(or_proxy_clausification,[],[f106])). 47.85/7.70 thf(f112,plain,( 47.85/7.70 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0))))) = $false)), 47.85/7.70 inference(duplicate_literal_removal,[],[f111])). 47.85/7.70 thf(f115,plain,( 47.85/7.70 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2)))))))))))))))))) = $true)), 47.85/7.70 inference(not_proxy_clausification,[],[f108])). 47.85/7.70 thf(f116,plain,( 47.85/7.70 ((((^[Y0 : $i]: ((irel @ sK0 @ Y0) => (f @ Y0))) @ sK1)) = $false)), 47.85/7.70 inference(sigma_proxy_clausification,[],[f112])). 47.85/7.70 thf(f117,plain,( 47.85/7.70 ((((irel @ sK0 @ sK1) => (f @ sK1))) = $false)), 47.85/7.70 inference(beta-eta_normalization,[],[f116])). 47.85/7.70 thf(f120,plain,( 47.85/7.70 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2)))))))))))))))))) = $true)), 47.85/7.70 inference(not_proxy_clausification,[],[f115])). 47.85/7.70 thf(f121,plain,( 47.85/7.70 ($false = ((f @ sK1)))), 47.85/7.70 inference(imp_proxy_clausification,[],[f117])). 47.85/7.70 thf(f122,plain,( 47.85/7.70 (((irel @ sK0 @ sK1)) = $true)), 47.85/7.70 inference(imp_proxy_clausification,[],[f117])). 47.85/7.70 thf(f127,plain,( 47.85/7.70 ( ! [X1 : $i] : (((((^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))) @ X1)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2)))))))))))))))))) = $true)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f120])). 47.85/7.70 thf(f128,plain,( 47.85/7.70 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2)))))))))))))))))) = $true) | ((((irel @ sK0 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f127])). 47.85/7.70 thf(f133,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : (((((irel @ sK0 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))))) = $true) | ($true = (((^[Y0 : $i]: ((irel @ sK0 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2)))))))))))))))) @ X2)))) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f128])). 47.85/7.70 thf(f134,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : (((((irel @ sK0 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))))) = $true) | ((((irel @ sK0 @ X2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f133])). 47.85/7.70 thf(f135,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((irel @ sK0 @ X2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))))) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f134])). 47.85/7.70 thf(f136,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($true = ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))))) | (((irel @ sK0 @ X2)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f135])). 47.85/7.70 thf(f137,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f136])). 47.85/7.70 thf(f138,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f136])). 47.85/7.70 thf(f139,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) = $true)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f138])). 47.85/7.70 thf(f140,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f137])). 47.85/7.70 thf(f141,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f137])). 47.85/7.70 thf(f142,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))))) )), 47.85/7.70 inference(and_proxy_clausification,[],[f139])). 47.85/7.70 thf(f144,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) = $true)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f140])). 47.85/7.70 thf(f145,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f140])). 47.85/7.70 thf(f146,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f141])). 47.85/7.70 thf(f148,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))))) )), 47.85/7.70 inference(and_proxy_clausification,[],[f142])). 47.85/7.70 thf(f152,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) = $true) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))) )), 47.85/7.70 inference(and_proxy_clausification,[],[f144])). 47.85/7.70 thf(f153,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f145])). 47.85/7.70 thf(f154,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) = $true)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f146])). 47.85/7.70 thf(f157,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))))) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) = $true) | ((((^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))) @ X3)) = $true)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f148])). 47.85/7.70 thf(f158,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) = $true) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f157])). 47.85/7.70 thf(f161,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) | (((irel @ sK0 @ X2)) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f152])). 47.85/7.70 thf(f162,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f153])). 47.85/7.70 thf(f163,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((irel @ X2 @ X3) => (a0 @ X3))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f162])). 47.85/7.70 thf(f164,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f154])). 47.85/7.70 thf(f168,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))))) | (((irel @ sK0 @ X2)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))) = $true) | ((((irel @ X2 @ X3) => (f @ X3))) = $true)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f158])). 47.85/7.70 thf(f173,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))) )), 47.85/7.70 inference(not_proxy_clausification,[],[f161])). 47.85/7.70 thf(f174,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X2 @ X3)) = $false) | (((a0 @ X3)) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f163])). 47.85/7.70 thf(f175,plain,( 47.85/7.70 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f164])). 47.85/7.70 thf(f182,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))) = $true) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f168])). 47.85/7.70 thf(f187,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $false) | ((((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))) @ X3)) = $true)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f173])). 47.85/7.70 thf(f188,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $false) | ((((irel @ X2 @ X3) => (a1 @ X3))) = $true) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f187])). 47.85/7.70 thf(f189,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f174])). 47.85/7.70 thf(f191,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))) @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f175])). 47.85/7.70 thf(f192,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X2 @ X3) => (a2 @ X3))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f191])). 47.85/7.70 thf(f197,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))) | (((irel @ sK0 @ X1)) = $false) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))) = $true) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f182])). 47.85/7.70 thf(f203,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((irel @ X2 @ X3) => (a1 @ X3))) = $true) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) | ($false = (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ (sK3 @ X2)))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f188])). 47.85/7.70 thf(f204,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((irel @ X2 @ X3) => (a1 @ X3))) = $true) | (((irel @ sK0 @ X2)) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) | ((((irel @ X2 @ (sK3 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (b1 @ Y0)))))))) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f203])). 47.85/7.70 thf(f205,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f189])). 47.85/7.70 thf(f208,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) = $false) | ((((irel @ X2 @ X3) => (a2 @ X3))) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) = $true) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f192])). 47.85/7.70 thf(f213,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))) = $true) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f197])). 47.85/7.70 thf(f220,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((irel @ X2 @ (sK3 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (b1 @ Y0)))))))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((a1 @ X3)) = $true) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f204])). 47.85/7.70 thf(f221,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true) | ((((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ (sK4 @ X2))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f205])). 47.85/7.70 thf(f222,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((a0 @ X3)) = $true) | ((((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f221])). 47.85/7.70 thf(f226,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) = $true) | ((((irel @ X2 @ X3) => (a2 @ X3))) = $true) | (((irel @ sK0 @ X2)) = $false) | ($false = (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))) @ (sK5 @ X2))))) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f208])). 47.85/7.70 thf(f227,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X2 @ (sK5 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0)))))))) = $false) | ((((irel @ X2 @ X3) => (a2 @ X3))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f226])). 47.85/7.70 thf(f234,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $false) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))) @ X4)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) = $false)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f213])). 47.85/7.70 thf(f235,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $false) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | ((((irel @ X2 @ X3) => (f @ X3))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f234])). 47.85/7.70 thf(f245,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (b1 @ Y0)))))))) | (((a1 @ X3)) = $true) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f220])). 47.85/7.70 thf(f246,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ (sK3 @ X2))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((a1 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f220])). 47.85/7.70 thf(f247,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true) | (((irel @ X2 @ X3)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))))) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f222])). 47.85/7.70 thf(f248,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ (sK4 @ X2))) = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true) | (((a0 @ X3)) = $true)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f222])). 47.85/7.70 thf(f252,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((irel @ X2 @ X3) => (a2 @ X3))) = $true) | ((((irel @ X2 @ (sK5 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0)))))))) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))))) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f227])). 47.85/7.70 thf(f257,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ (sK2 @ X2))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $false) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f235])). 47.85/7.70 thf(f258,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($false = (((irel @ X2 @ (sK2 @ X2)) => (a0 @ (sK2 @ X2))))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $false) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | ((((irel @ X1 @ X4) => (f @ X4))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f257])). 47.85/7.70 thf(f266,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((a1 @ X3)) = $true) | (((irel @ X2 @ (sK3 @ X2))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f246])). 47.85/7.70 thf(f268,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((a1 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (a2 @ Y0))))) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f245])). 47.85/7.70 thf(f270,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ (sK4 @ X2))) = $true)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f248])). 47.85/7.70 thf(f272,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (((a0 @ X3)) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(and_proxy_clausification,[],[f247])). 47.85/7.70 thf(f278,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X2 @ (sK5 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0)))))))) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f252])). 47.85/7.70 thf(f285,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a0 @ (sK2 @ X2))) = $false) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f258])). 47.85/7.70 thf(f286,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X2 @ (sK2 @ X2)))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f258])). 47.85/7.70 thf(f296,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ (sK3 @ X2))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | ($true = (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))) @ X4))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f266])). 47.85/7.70 thf(f297,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a1 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | (((irel @ X2 @ (sK3 @ X2))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X1 @ X4) => (a1 @ X4))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f296])). 47.85/7.70 thf(f299,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((a1 @ X3)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (a2 @ Y0))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f268])). 47.85/7.70 thf(f302,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((a0 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ (sK4 @ X2))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (((irel @ X2 @ X3)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $true) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f270])). 47.85/7.70 thf(f303,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f272])). 47.85/7.70 thf(f311,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | ((((irel @ X2 @ (sK5 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0)))))))) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ($true = (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))) @ X4))) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($true = ((a2 @ X3)))) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f278])). 47.85/7.70 thf(f312,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X2 @ (sK5 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0)))))))) = $false) | ((((irel @ X1 @ X4) => (a2 @ X4))) = $true) | ($true = ((a2 @ X3))) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f311])). 47.85/7.70 thf(f322,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ (sK2 @ X1))) = $false) | ($true = ((irel @ X2 @ (sK2 @ X2)))) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f286])). 47.85/7.70 thf(f323,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ((((irel @ X2 @ X3) => (f @ X3))) = $true) | ($true = ((irel @ X2 @ (sK2 @ X2)))) | ($false = (((irel @ X1 @ (sK2 @ X1)) => (a0 @ (sK2 @ X1))))) | ((((irel @ X1 @ X4) => (f @ X4))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f322])). 47.85/7.70 thf(f324,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((a0 @ (sK2 @ X2))) = $false) | ($true = ((f @ X3))) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f285])). 47.85/7.70 thf(f336,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a1 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | ((((irel @ X1 @ X4) => (a1 @ X4))) = $true) | (((irel @ X2 @ (sK3 @ X2))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f297])). 47.85/7.70 thf(f339,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((a1 @ X3)) = $true) | ((((^[Y0 : $i]: ((irel @ (sK3 @ X2) @ Y0) => (a2 @ Y0))) @ (sK6 @ X2))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f299])). 47.85/7.70 thf(f340,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true) | (((a1 @ X3)) = $true) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f339])). 47.85/7.70 thf(f343,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $true) | (((a0 @ X3)) = $true) | (((irel @ X2 @ (sK4 @ X2))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f302])). 47.85/7.70 thf(f344,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))))) = $false) | (((a0 @ X3)) = $true) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ X4)) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f303])). 47.85/7.70 thf(f345,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))))) = $false) | ((((irel @ X1 @ X4) => (a0 @ X4))) = $true) | (((a0 @ X3)) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f344])). 47.85/7.70 thf(f354,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((a2 @ X3))) | ((((irel @ X1 @ X4) => (a2 @ X4))) = $true) | ((((irel @ X2 @ (sK5 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0)))))))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f312])). 47.85/7.70 thf(f365,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X2 @ (sK2 @ X2)))) | (((irel @ sK0 @ X2)) = $false) | ($true = ((f @ X3))) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | (((irel @ X2 @ X3)) = $false) | ($false = (((irel @ X1 @ (sK2 @ X1)) => (a0 @ (sK2 @ X1))))) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f323])). 47.85/7.70 thf(f366,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((a0 @ (sK2 @ X2))) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ (sK2 @ X1))) = $false) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | (((irel @ X2 @ X3)) = $false) | ($true = ((f @ X3))) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f324])). 47.85/7.70 thf(f367,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | ($true = ((f @ X3))) | ((((irel @ X1 @ X4) => (f @ X4))) = $true) | ($false = (((irel @ X1 @ (sK2 @ X1)) => (a0 @ (sK2 @ X1))))) | (((irel @ X2 @ X3)) = $false) | (((a0 @ (sK2 @ X2))) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f366])). 47.85/7.70 thf(f382,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $false) | ($false = ((irel @ X1 @ X4))) | (((a1 @ X3)) = $true) | (((irel @ X2 @ (sK3 @ X2))) = $true) | (((irel @ X2 @ X3)) = $false) | (((a1 @ X4)) = $true)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f336])). 47.85/7.70 thf(f384,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $false) | (((irel @ X2 @ X3)) = $false) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X3)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f340])). 47.85/7.70 thf(f387,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ (sK4 @ X2))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ X4)) = $true)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f343])). 47.85/7.70 thf(f388,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((irel @ X1 @ X4) => (a0 @ X4))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | (((irel @ X2 @ (sK4 @ X2))) = $true) | (((irel @ X2 @ X3)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f387])). 47.85/7.70 thf(f389,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((irel @ X1 @ X4) => (a0 @ X4))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(not_proxy_clausification,[],[f345])). 47.85/7.70 thf(f398,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((irel @ X2 @ (sK5 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0)))))))) = $false) | ($true = ((a2 @ X4))) | (((irel @ X2 @ X3)) = $false) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) = $false) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f354])). 47.85/7.70 thf(f413,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X2 @ (sK2 @ X2)))) | ($true = ((f @ X4))) | (((irel @ sK0 @ X1)) = $false) | ($false = (((irel @ X1 @ (sK2 @ X1)) => (a0 @ (sK2 @ X1))))) | (((irel @ X2 @ X3)) = $false) | ($true = ((f @ X3))) | (((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f365])). 47.85/7.70 thf(f414,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((a0 @ (sK2 @ X2))) = $false) | (((irel @ X2 @ X3)) = $false) | ($true = ((f @ X4))) | ($false = (((irel @ X1 @ (sK2 @ X1)) => (a0 @ (sK2 @ X1))))) | (((irel @ sK0 @ X2)) = $false) | ($true = ((f @ X3))) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f367])). 47.85/7.70 thf(f421,definition,( 47.85/7.70 spl8_1 <=> ! [X4 : $i,X1 : $i] : ((((a1 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X1 @ (sK3 @ X1))) = $true) | ($false = ((irel @ X1 @ X4))))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition])). 47.85/7.70 thf(f422,plain,( 47.85/7.70 ( ! [X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((irel @ X1 @ (sK3 @ X1))) = $true) | ($false = ((irel @ X1 @ X4))) | (((a1 @ X4)) = $true)) ) | ~spl8_1), 47.85/7.70 inference(avatar_component_clause,[],[f421])). 47.85/7.70 thf(f424,definition,( 47.85/7.70 spl8_2 <=> ! [X2 : $i,X3 : $i] : ((((a0 @ (sK2 @ X2))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | ($true = ((f @ X3))))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition])). 47.85/7.70 thf(f425,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((a0 @ (sK2 @ X2))) = $false) | ($true = ((f @ X3))) | (((irel @ X2 @ X3)) = $false)) ) | ~spl8_2), 47.85/7.70 inference(avatar_component_clause,[],[f424])). 47.85/7.70 thf(f430,definition,( 47.85/7.70 spl8_3 <=> ! [X2 : $i,X3 : $i] : ((((irel @ X2 @ X3)) = $false) | ($true = ((irel @ X2 @ (sK2 @ X2)))) | (((irel @ sK0 @ X2)) = $false) | ($true = ((f @ X3))))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition])). 47.85/7.70 thf(f431,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i] : ((((irel @ sK0 @ X2)) = $false) | ($true = ((f @ X3))) | ($true = ((irel @ X2 @ (sK2 @ X2)))) | (((irel @ X2 @ X3)) = $false)) ) | ~spl8_3), 47.85/7.70 inference(avatar_component_clause,[],[f430])). 47.85/7.70 thf(f439,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ (sK3 @ X1))) = $false) | (((a1 @ X3)) = $true) | (((a1 @ X4)) = $true) | (((irel @ X2 @ (sK3 @ X2))) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f382])). 47.85/7.70 thf(f440,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a1 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X3)) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ X3)) = $false) | ((((irel @ X1 @ (sK3 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (b1 @ Y0)))))))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ (sK3 @ X2))) = $true)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f439])). 47.85/7.70 thf(f442,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ sK0 @ X2)) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ (sK3 @ X1))) = $false) | (((a1 @ X3)) = $true) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f384])). 47.85/7.70 thf(f443,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X3)) = $true) | ((((irel @ X1 @ (sK3 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (b1 @ Y0)))))))) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f442])). 47.85/7.70 thf(f448,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true) | (((irel @ X2 @ (sK4 @ X2))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f388])). 47.85/7.70 thf(f449,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X4)) = $true) | (((irel @ X2 @ X3)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f389])). 47.85/7.70 thf(f462,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((a2 @ X3))) | ($false = ((irel @ X1 @ X4))) | ($true = ((a2 @ X4))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X1)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f398])). 47.85/7.70 thf(f463,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ (sK5 @ X2))) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | ($true = ((a2 @ X4))) | ($true = ((a2 @ X3))) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f398])). 47.85/7.70 thf(f478,definition,( 47.85/7.70 spl8_4 <=> ! [X1 : $i,X3 : $i] : ((((a0 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false) | ($true = ((irel @ X1 @ (sK4 @ X1)))) | (((irel @ X1 @ X3)) = $false))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition])). 47.85/7.70 thf(f479,plain,( 47.85/7.70 ( ! [X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((irel @ X1 @ X3)) = $false) | (((a0 @ X3)) = $true) | ($true = ((irel @ X1 @ (sK4 @ X1))))) ) | ~spl8_4), 47.85/7.70 inference(avatar_component_clause,[],[f478])). 47.85/7.70 thf(f483,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((f @ X4))) | (((irel @ X2 @ X3)) = $false) | ($true = ((irel @ X2 @ (sK2 @ X2)))) | (((irel @ X1 @ (sK2 @ X1))) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false) | ($true = ((f @ X3))) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f413])). 47.85/7.70 thf(f484,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((a0 @ (sK2 @ X2))) = $false) | ($true = ((f @ X4))) | ($true = ((f @ X3))) | (((a0 @ (sK2 @ X1))) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f414])). 47.85/7.70 thf(f508,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a1 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | (((irel @ X2 @ (sK3 @ X2))) = $true) | (((irel @ X1 @ (sK3 @ X1))) = $true)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f440])). 47.85/7.70 thf(f511,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a1 @ X3)) = $true) | ((((irel @ X1 @ (sK3 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (b1 @ Y0)))))))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($true = (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))) @ X4))) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(pi_proxy_clausification,[],[f443])). 47.85/7.70 thf(f512,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((irel @ X1 @ (sK3 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (b1 @ Y0)))))))) = $false) | (((a1 @ X3)) = $true) | ((((irel @ X1 @ X4) => (a1 @ X4))) = $true) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f511])). 47.85/7.70 thf(f515,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ (sK4 @ X2))) = $true) | (((a0 @ X4)) = $true) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ (sK4 @ X1))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f448])). 47.85/7.70 thf(f516,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | ((((irel @ X1 @ (sK4 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X4)) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ (sK4 @ X2))) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f515])). 47.85/7.70 thf(f517,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((a0 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f449])). 47.85/7.70 thf(f518,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0))))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((a0 @ X4)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f449])). 47.85/7.70 thf(f531,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))) @ (sK5 @ X1))) = $false) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X2)) = $false) | ($true = ((a2 @ X4)))) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f462])). 47.85/7.70 thf(f532,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ($true = ((a2 @ X4))) | (((irel @ X2 @ X3)) = $false) | ((((irel @ X1 @ (sK5 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b2 @ Y0)))))))) = $false) | ($false = ((irel @ X1 @ X4))) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f531])). 47.85/7.70 thf(f533,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ (sK5 @ X2))) = $true) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X1)) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))) @ (sK5 @ X1))) = $false) | (((irel @ X2 @ X3)) = $false) | ($true = ((a2 @ X4))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f463])). 47.85/7.70 thf(f534,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ (sK5 @ X2))) = $true) | ($true = ((a2 @ X4))) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($true = ((a2 @ X3))) | ((((irel @ X1 @ (sK5 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b2 @ Y0)))))))) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f533])). 47.85/7.70 thf(f540,definition,( 47.85/7.70 spl8_5 <=> ! [X2 : $i,X4 : $i] : ((((irel @ X2 @ (sK5 @ X2))) = $true) | ($true = ((a2 @ X4))) | (((irel @ X2 @ X4)) = $false) | (((irel @ sK0 @ X2)) = $false))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition])). 47.85/7.70 thf(f541,plain,( 47.85/7.70 ( ! [X2 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X4)) = $false) | (((irel @ X2 @ (sK5 @ X2))) = $true) | ($true = ((a2 @ X4)))) ) | ~spl8_5), 47.85/7.70 inference(avatar_component_clause,[],[f540])). 47.85/7.70 thf(f555,plain,( 47.85/7.70 spl8_3 | spl8_3), 47.85/7.70 inference(avatar_split_clause,[],[f483,f430,f430])). 47.85/7.70 thf(f556,plain,( 47.85/7.70 spl8_2 | spl8_2), 47.85/7.70 inference(avatar_split_clause,[],[f484,f424,f424])). 47.85/7.70 thf(f587,plain,( 47.85/7.70 spl8_1 | spl8_1), 47.85/7.70 inference(avatar_split_clause,[],[f508,f421,f421])). 47.85/7.70 thf(f589,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((irel @ X1 @ X4) => (a1 @ X4))) = $true) | (((a1 @ X3)) = $true) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (b1 @ Y0))))))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f512])). 47.85/7.70 thf(f596,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ (sK4 @ X2))) = $true) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | ($true = ((irel @ X1 @ (sK4 @ X1)))) | (((a0 @ X3)) = $true)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f516])). 47.85/7.70 thf(f597,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ (sK4 @ X1))) = $false) | (((a0 @ X4)) = $true) | ($false = ((irel @ X1 @ X4))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f517])). 47.85/7.70 thf(f598,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((irel @ X1 @ (sK4 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))))) = $false) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X3)) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f597])). 47.85/7.70 thf(f599,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | ($false = (((^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a1 @ Y0))) @ (sK7 @ X2)))) | (((irel @ X2 @ X3)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((a0 @ X3)) = $true)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f518])). 47.85/7.70 thf(f600,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X3)) = $true) | ($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ (sK4 @ X2) @ (sK7 @ X2)) => (a1 @ (sK7 @ X2)))) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f599])). 47.85/7.70 thf(f619,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | ((((irel @ X1 @ (sK5 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b2 @ Y0)))))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0))))) = $false) | ($true = ((a2 @ X3))) | ($true = ((a2 @ X4))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f532])). 47.85/7.70 thf(f621,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((a2 @ X4))) | (((irel @ X2 @ (sK5 @ X2))) = $true) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ X3)) = $false) | (((irel @ X1 @ (sK5 @ X1))) = $true)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f534])). 47.85/7.70 thf(f652,definition,( 47.85/7.70 spl8_6 <=> ! [X4 : $i,X1 : $i] : (($false = ((irel @ X1 @ X4))) | (((a1 @ X4)) = $true) | (((a2 @ (sK6 @ X1))) = $false) | (((irel @ sK0 @ X1)) = $false))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition])). 47.85/7.70 thf(f653,plain,( 47.85/7.70 ( ! [X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a1 @ X4)) = $true) | (((a2 @ (sK6 @ X1))) = $false)) ) | ~spl8_6), 47.85/7.70 inference(avatar_component_clause,[],[f652])). 47.85/7.70 thf(f656,definition,( 47.85/7.70 spl8_7 <=> ! [X4 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a1 @ X4)) = $true) | (((irel @ (sK3 @ X1) @ (sK6 @ X1))) = $true))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition])). 47.85/7.70 thf(f657,plain,( 47.85/7.70 ( ! [X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ (sK3 @ X1) @ (sK6 @ X1))) = $true) | (((a1 @ X4)) = $true)) ) | ~spl8_7), 47.85/7.70 inference(avatar_component_clause,[],[f656])). 47.85/7.70 thf(f684,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (b1 @ Y0))))))) = $false) | (((a1 @ X3)) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false) | (((a1 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f589])). 47.85/7.70 thf(f692,plain,( 47.85/7.70 spl8_4 | spl8_4), 47.85/7.70 inference(avatar_split_clause,[],[f596,f478,f478])). 47.85/7.70 thf(f693,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | (((a0 @ X3)) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false) | (((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X4)) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f598])). 47.85/7.70 thf(f695,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ (sK4 @ X1))) = $false) | ((((irel @ (sK4 @ X2) @ (sK7 @ X2)) => (a1 @ (sK7 @ X2)))) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | (((a0 @ X4)) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f600])). 47.85/7.70 thf(f696,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((a0 @ X3)) = $true) | ((((irel @ (sK4 @ X2) @ (sK7 @ X2)) => (a1 @ (sK7 @ X2)))) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((irel @ X1 @ (sK4 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f695])). 47.85/7.70 thf(f719,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | ($true = ((a2 @ X3))) | ($true = ((a2 @ X4))) | (((irel @ X2 @ X3)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0))))) = $false) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b2 @ Y0)))))))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f619])). 47.85/7.70 thf(f725,plain,( 47.85/7.70 spl8_5 | spl8_5), 47.85/7.70 inference(avatar_split_clause,[],[f621,f540,f540])). 47.85/7.70 thf(f750,definition,( 47.85/7.70 spl8_8 <=> ! [X1 : $i,X3 : $i] : ((((irel @ X1 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ (sK4 @ X1) @ (sK7 @ X1))) = $true) | (((a0 @ X3)) = $true))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition])). 47.85/7.70 thf(f751,plain,( 47.85/7.70 ( ! [X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true) | (((irel @ X1 @ X3)) = $false) | (((irel @ (sK4 @ X1) @ (sK7 @ X1))) = $true)) ) | ~spl8_8), 47.85/7.70 inference(avatar_component_clause,[],[f750])). 47.85/7.70 thf(f755,definition,( 47.85/7.70 spl8_9 <=> ! [X1 : $i,X3 : $i] : ((((a1 @ (sK7 @ X1))) = $false) | (((irel @ X1 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition])). 47.85/7.70 thf(f756,plain,( 47.85/7.70 ( ! [X3 : $i,X1 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((a1 @ (sK7 @ X1))) = $false) | (((irel @ X1 @ X3)) = $false) | (((a0 @ X3)) = $true)) ) | ~spl8_9), 47.85/7.70 inference(avatar_component_clause,[],[f755])). 47.85/7.70 thf(f797,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | ((((irel @ (sK3 @ X2) @ (sK6 @ X2)) => (a2 @ (sK6 @ X2)))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0))))) = $false) | (((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a1 @ X3)) = $true) | (((a1 @ X4)) = $true)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f684])). 47.85/7.70 thf(f809,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((a0 @ X4)) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false)) )), 47.85/7.70 inference(or_proxy_clausification,[],[f693])). 47.85/7.70 thf(f811,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X3)) = $false) | (((a1 @ (sK7 @ X2))) = $false) | (((a0 @ X4)) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true) | ((((irel @ X1 @ (sK4 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))))) = $false)) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f696])). 47.85/7.70 thf(f812,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a0 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | ((((irel @ X1 @ (sK4 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))))) = $false) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | ($true = ((irel @ (sK4 @ X2) @ (sK7 @ X2)))) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.70 inference(imp_proxy_clausification,[],[f696])). 47.85/7.70 thf(f838,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((^[Y0 : $i]: ((irel @ (sK5 @ X2) @ Y0) => (b0 @ Y0))) @ (sK9 @ X2))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b2 @ Y0)))))))) | ($true = ((a2 @ X4))) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false) | ($true = ((a2 @ X3)))) )), 47.85/7.70 inference(sigma_proxy_clausification,[],[f719])). 47.85/7.70 thf(f839,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | ($false = (((irel @ (sK5 @ X2) @ (sK9 @ X2)) => (b0 @ (sK9 @ X2))))) | ($false = ((irel @ X1 @ X4))) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b2 @ Y0)))))))) | ($true = ((a2 @ X4))) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.70 inference(beta-eta_normalization,[],[f838])). 47.85/7.70 thf(f860,definition,( 47.85/7.70 spl8_11 <=> ! [X2 : $i,X4 : $i] : ((((b0 @ (sK9 @ X2))) = $false) | (((irel @ X2 @ X4)) = $false) | (((irel @ sK0 @ X2)) = $false) | ($true = ((a2 @ X4))))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition])). 47.85/7.70 thf(f861,plain,( 47.85/7.70 ( ! [X2 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((b0 @ (sK9 @ X2))) = $false) | ($true = ((a2 @ X4))) | (((irel @ X2 @ X4)) = $false)) ) | ~spl8_11), 47.85/7.70 inference(avatar_component_clause,[],[f860])). 47.85/7.70 thf(f864,definition,( 47.85/7.70 spl8_12 <=> ! [X4 : $i,X2 : $i] : ((((irel @ X2 @ X4)) = $false) | (((irel @ sK0 @ X2)) = $false) | ($true = ((a2 @ X4))) | (((irel @ (sK5 @ X2) @ (sK9 @ X2))) = $true))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition])). 47.85/7.70 thf(f865,plain,( 47.85/7.70 ( ! [X2 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X4)) = $false) | ($true = ((a2 @ X4))) | (((irel @ (sK5 @ X2) @ (sK9 @ X2))) = $true)) ) | ~spl8_12), 47.85/7.70 inference(avatar_component_clause,[],[f864])). 47.85/7.70 thf(f878,definition,( 47.85/7.70 spl8_13 <=> ! [X4 : $i,X1 : $i,X3 : $i] : ((((a0 @ X3)) = $true) | (((irel @ (sK4 @ X1) @ X4)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X1 @ X3)) = $false) | ($true = ((b0 @ X4))))), 47.85/7.70 introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition])). 47.85/7.70 thf(f879,plain,( 47.85/7.70 ( ! [X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((irel @ X1 @ X3)) = $false) | (((irel @ (sK4 @ X1) @ X4)) = $false) | ($true = ((b0 @ X4))) | (((a0 @ X3)) = $true)) ) | ~spl8_13), 47.85/7.70 inference(avatar_component_clause,[],[f878])). 47.85/7.70 thf(f919,plain,( 47.85/7.70 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((a1 @ X3)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((a2 @ (sK6 @ X2))) = $false) | (((a1 @ X4)) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f797])). 47.85/7.71 thf(f920,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a1 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a1 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0))))) = $false) | (((irel @ (sK3 @ X2) @ (sK6 @ X2))) = $true)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f797])). 47.85/7.71 thf(f935,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X3)) = $true) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.71 inference(not_proxy_clausification,[],[f809])). 47.85/7.71 thf(f936,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | ($true = ((irel @ (sK4 @ X2) @ (sK7 @ X2)))) | (((irel @ X2 @ X3)) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))))))) = $false)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f812])). 47.85/7.71 thf(f938,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a1 @ (sK7 @ X2))) = $false) | (((a0 @ X4)) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ($false = ((irel @ X1 @ X4))) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f811])). 47.85/7.71 thf(f973,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4))) | ($true = ((a2 @ X3))) | (((b0 @ (sK9 @ X2))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b2 @ Y0)))))))) | ($true = ((a2 @ X4)))) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f839])). 47.85/7.71 thf(f974,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ (sK5 @ X2) @ (sK9 @ X2))) = $true) | (((irel @ X2 @ X3)) = $false) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b2 @ Y0)))))))) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X1)) = $false) | ($true = ((a2 @ X4))) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f839])). 47.85/7.71 thf(f1047,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a1 @ X4)) = $true) | (((irel @ (sK3 @ X2) @ (sK6 @ X2))) = $true) | ((((^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0))) @ (sK6 @ X1))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X3)) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.71 inference(sigma_proxy_clausification,[],[f920])). 47.85/7.71 thf(f1048,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((irel @ (sK3 @ X1) @ (sK6 @ X1)) => (a2 @ (sK6 @ X1)))) = $false) | (((irel @ (sK3 @ X2) @ (sK6 @ X2))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X4)) = $true) | (((irel @ X2 @ X3)) = $false) | (((a1 @ X3)) = $true) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.71 inference(beta-eta_normalization,[],[f1047])). 47.85/7.71 thf(f1049,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X4)) = $true) | (((a2 @ (sK6 @ X2))) = $false) | ($false = ((irel @ X1 @ X4))) | ((((^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (a2 @ Y0))) @ (sK6 @ X1))) = $false) | (((a1 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.71 inference(sigma_proxy_clausification,[],[f919])). 47.85/7.71 thf(f1050,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((irel @ (sK3 @ X1) @ (sK6 @ X1)) => (a2 @ (sK6 @ X1)))) = $false) | (((irel @ X2 @ X3)) = $false) | (((a1 @ X4)) = $true) | (((a2 @ (sK6 @ X2))) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ X3)) = $true)) )), 47.85/7.71 inference(beta-eta_normalization,[],[f1049])). 47.85/7.71 thf(f1063,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = ((irel @ X1 @ X4))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false) | (((a0 @ X3)) = $true) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ((((^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))) @ X5)) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.71 inference(pi_proxy_clausification,[],[f935])). 47.85/7.71 thf(f1064,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((((irel @ (sK4 @ X2) @ X5) => (b0 @ X5))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | ($false = ((irel @ X1 @ X4))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X4)) = $true) | (((a0 @ X3)) = $true)) )), 47.85/7.71 inference(beta-eta_normalization,[],[f1063])). 47.85/7.71 thf(f1066,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($true = ((irel @ (sK4 @ X2) @ (sK7 @ X2)))) | (((a0 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X4)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0))))) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.71 inference(or_proxy_clausification,[],[f936])). 47.85/7.71 thf(f1070,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0))))) = $false) | (((a0 @ X4)) = $true) | (((a1 @ (sK7 @ X2))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X3)) = $true)) )), 47.85/7.71 inference(or_proxy_clausification,[],[f938])). 47.85/7.71 thf(f1108,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((a2 @ X4))) | (((irel @ X2 @ X3)) = $false) | ($true = ((a2 @ X3))) | ($false = ((irel @ X1 @ X4))) | (((irel @ (sK5 @ X2) @ (sK9 @ X2))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0))))) = $false) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.71 inference(or_proxy_clausification,[],[f974])). 47.85/7.71 thf(f1110,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((b0 @ (sK9 @ X2))) = $false) | ($true = ((a2 @ X3))) | (((irel @ X2 @ X3)) = $false) | ($true = ((a2 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0))))) = $false) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.71 inference(or_proxy_clausification,[],[f973])). 47.85/7.71 thf(f1174,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X3)) = $false) | (((irel @ (sK3 @ X1) @ (sK6 @ X1))) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ (sK3 @ X2) @ (sK6 @ X2))) = $true) | (((a1 @ X4)) = $true) | (((a1 @ X3)) = $true)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f1048])). 47.85/7.71 thf(f1175,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a2 @ (sK6 @ X2))) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((a1 @ X4)) = $true) | (((a1 @ X3)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((a2 @ (sK6 @ X1))) = $false) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f1050])). 47.85/7.71 thf(f1188,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((irel @ X2 @ X3)) = $false) | (((a0 @ X3)) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ (sK4 @ X2) @ X5)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X4)) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false) | ($true = ((b0 @ X5))) | (((irel @ sK0 @ X2)) = $false)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f1064])). 47.85/7.71 thf(f1189,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a0 @ X4)) = $true) | (((a0 @ X3)) = $true) | ($true = ((irel @ (sK4 @ X2) @ (sK7 @ X2)))) | ((((^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0))) @ (sK7 @ X1))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.71 inference(sigma_proxy_clausification,[],[f1066])). 47.85/7.71 thf(f1190,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ($true = ((irel @ (sK4 @ X2) @ (sK7 @ X2)))) | ($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | ((((irel @ (sK4 @ X1) @ (sK7 @ X1)) => (a1 @ (sK7 @ X1)))) = $false) | (((a0 @ X3)) = $true)) )), 47.85/7.71 inference(beta-eta_normalization,[],[f1189])). 47.85/7.71 thf(f1192,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X3)) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a1 @ Y0))) @ (sK7 @ X1))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a1 @ (sK7 @ X2))) = $false) | (((a0 @ X3)) = $true) | ($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true)) )), 47.85/7.71 inference(sigma_proxy_clausification,[],[f1070])). 47.85/7.71 thf(f1193,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((a0 @ X3)) = $true) | (((a1 @ (sK7 @ X2))) = $false) | (((irel @ sK0 @ X1)) = $false) | (((irel @ X2 @ X3)) = $false) | ((((irel @ (sK4 @ X1) @ (sK7 @ X1)) => (a1 @ (sK7 @ X1)))) = $false)) )), 47.85/7.71 inference(beta-eta_normalization,[],[f1192])). 47.85/7.71 thf(f1225,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X3)) = $false) | (((irel @ (sK5 @ X2) @ (sK9 @ X2))) = $true) | ($true = ((a2 @ X4))) | (((irel @ sK0 @ X1)) = $false) | ((((^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0))) @ (sK9 @ X1))) = $false) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X2)) = $false) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.71 inference(sigma_proxy_clausification,[],[f1108])). 47.85/7.71 thf(f1226,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((irel @ (sK5 @ X1) @ (sK9 @ X1)) => (b0 @ (sK9 @ X1)))) = $false) | (((irel @ sK0 @ X2)) = $false) | ($true = ((a2 @ X3))) | ($true = ((a2 @ X4))) | ($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ X3)) = $false) | (((irel @ (sK5 @ X2) @ (sK9 @ X2))) = $true)) )), 47.85/7.71 inference(beta-eta_normalization,[],[f1225])). 47.85/7.71 thf(f1228,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | ((((^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b0 @ Y0))) @ (sK9 @ X1))) = $false) | (((b0 @ (sK9 @ X2))) = $false) | ($true = ((a2 @ X4))) | ($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ X3)) = $false) | ($true = ((a2 @ X3)))) )), 47.85/7.71 inference(sigma_proxy_clausification,[],[f1110])). 47.85/7.71 thf(f1229,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X1)) = $false) | ((((irel @ (sK5 @ X1) @ (sK9 @ X1)) => (b0 @ (sK9 @ X1)))) = $false) | (((irel @ sK0 @ X2)) = $false) | (((b0 @ (sK9 @ X2))) = $false) | ($true = ((a2 @ X3))) | ($false = ((irel @ X1 @ X4))) | (((irel @ X2 @ X3)) = $false) | ($true = ((a2 @ X4)))) )), 47.85/7.71 inference(beta-eta_normalization,[],[f1228])). 47.85/7.71 thf(f1285,plain,( 47.85/7.71 spl8_7 | spl8_7), 47.85/7.71 inference(avatar_split_clause,[],[f1174,f656,f656])). 47.85/7.71 thf(f1287,plain,( 47.85/7.71 spl8_6 | spl8_6), 47.85/7.71 inference(avatar_split_clause,[],[f1175,f652,f652])). 47.85/7.71 thf(f1296,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))))) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ (sK4 @ X2) @ X5)) = $false) | (((irel @ X2 @ X3)) = $false) | ($false = ((irel @ X1 @ X4))) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X1)) = $false) | ($true = ((b0 @ X5))) | (((a0 @ X3)) = $true)) )), 47.85/7.71 inference(not_proxy_clausification,[],[f1188])). 47.85/7.71 thf(f1298,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true) | (((a0 @ X4)) = $true) | ($false = ((irel @ X1 @ X4))) | ($true = ((irel @ (sK4 @ X2) @ (sK7 @ X2)))) | (((irel @ (sK4 @ X1) @ (sK7 @ X1))) = $true) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f1190])). 47.85/7.71 thf(f1301,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((a1 @ (sK7 @ X1))) = $false) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((a0 @ X3)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X4)) = $true) | (((a1 @ (sK7 @ X2))) = $false)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f1193])). 47.85/7.71 thf(f1326,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((irel @ (sK5 @ X2) @ (sK9 @ X2))) = $true) | ($true = ((a2 @ X4))) | ($true = ((a2 @ X3))) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | ($true = ((irel @ (sK5 @ X1) @ (sK9 @ X1))))) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f1226])). 47.85/7.71 thf(f1329,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ sK0 @ X2)) = $false) | (((b0 @ (sK9 @ X1))) = $false) | (((irel @ X2 @ X3)) = $false) | ($true = ((a2 @ X4))) | (((irel @ sK0 @ X1)) = $false) | ($true = ((a2 @ X3))) | (((b0 @ (sK9 @ X2))) = $false) | ($false = ((irel @ X1 @ X4)))) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f1229])). 47.85/7.71 thf(f1381,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : ((((a0 @ X3)) = $true) | (((irel @ X2 @ X3)) = $false) | ($true = ((b0 @ X5))) | ($true = (((^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))) @ X6))) | (((a0 @ X4)) = $true) | ($false = ((irel @ X1 @ X4))) | (((irel @ sK0 @ X1)) = $false) | (((irel @ sK0 @ X2)) = $false) | (((irel @ (sK4 @ X2) @ X5)) = $false)) )), 47.85/7.71 inference(pi_proxy_clausification,[],[f1296])). 47.85/7.71 thf(f1382,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = ((irel @ X1 @ X4))) | ($true = ((b0 @ X5))) | (((a0 @ X4)) = $true) | (((irel @ sK0 @ X2)) = $false) | (((irel @ X2 @ X3)) = $false) | (((a0 @ X3)) = $true) | (((irel @ (sK4 @ X2) @ X5)) = $false) | ($true = (((irel @ (sK4 @ X1) @ X6) => (b0 @ X6)))) | (((irel @ sK0 @ X1)) = $false)) )), 47.85/7.71 inference(beta-eta_normalization,[],[f1381])). 47.85/7.71 thf(f1384,plain,( 47.85/7.71 spl8_8 | spl8_8), 47.85/7.71 inference(avatar_split_clause,[],[f1298,f750,f750])). 47.85/7.71 thf(f1387,plain,( 47.85/7.71 spl8_9 | spl8_9), 47.85/7.71 inference(avatar_split_clause,[],[f1301,f755,f755])). 47.85/7.71 thf(f1408,plain,( 47.85/7.71 spl8_12 | spl8_12), 47.85/7.71 inference(avatar_split_clause,[],[f1326,f864,f864])). 47.85/7.71 thf(f1410,plain,( 47.85/7.71 spl8_11 | spl8_11), 47.85/7.71 inference(avatar_split_clause,[],[f1329,f860,f860])). 47.85/7.71 thf(f1440,plain,( 47.85/7.71 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : ((((irel @ (sK4 @ X2) @ X5)) = $false) | (((irel @ sK0 @ X2)) = $false) | ($true = ((b0 @ X5))) | (((a0 @ X4)) = $true) | (((a0 @ X3)) = $true) | ($false = ((irel @ X1 @ X4))) | (((b0 @ X6)) = $true) | (((irel @ sK0 @ X1)) = $false) | (((irel @ (sK4 @ X1) @ X6)) = $false) | (((irel @ X2 @ X3)) = $false)) )), 47.85/7.71 inference(imp_proxy_clausification,[],[f1382])). 47.85/7.71 thf(f1466,plain,( 47.85/7.71 spl8_13 | spl8_13), 47.85/7.71 inference(avatar_split_clause,[],[f1440,f878,f878])). 47.85/7.71 thf(f1549,definition,( 47.85/7.71 spl8_26 <=> (((a1 @ (sK7 @ sK0))) = $false)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_26])],[avatar_definition])). 47.85/7.71 thf(f1551,plain,( 47.85/7.71 (((a1 @ (sK7 @ sK0))) = $false) | ~spl8_26), 47.85/7.71 inference(avatar_component_clause,[],[f1549])). 47.85/7.71 thf(f1600,definition,( 47.85/7.71 spl8_32 <=> (((irel @ sK0 @ (sK2 @ sK0))) = $true)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_32])],[avatar_definition])). 47.85/7.71 thf(f1602,plain,( 47.85/7.71 (((irel @ sK0 @ (sK2 @ sK0))) = $true) | ~spl8_32), 47.85/7.71 inference(avatar_component_clause,[],[f1600])). 47.85/7.71 thf(f1738,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ (sK2 @ sK0))) = $true) | (((f @ X0)) = $true) | (((irel @ sK0 @ X0)) = $false) | ($true = $false)) ) | ~spl8_3), 47.85/7.71 inference(superposition,[],[f96,f431])). 47.85/7.71 thf(f1743,plain,( 47.85/7.71 ( ! [X0 : $i] : (($true = ((a0 @ X0))) | (((irel @ sK0 @ X0)) = $false) | ($true = $false) | (((irel @ (sK4 @ sK0) @ (sK7 @ sK0))) = $true)) ) | ~spl8_8), 47.85/7.71 inference(superposition,[],[f96,f751])). 47.85/7.71 thf(f1744,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ X0)) = $false) | ($true = $false) | (((a1 @ (sK7 @ sK0))) = $false) | ($true = ((a0 @ X0)))) ) | ~spl8_9), 47.85/7.71 inference(superposition,[],[f96,f756])). 47.85/7.71 thf(f1748,plain,( 47.85/7.71 ( ! [X0 : $i,X1 : $i] : (($true = $false) | (((irel @ (sK4 @ sK0) @ X1)) = $false) | ($true = ((a0 @ X0))) | (((b0 @ X1)) = $true) | (((irel @ sK0 @ X0)) = $false)) ) | ~spl8_13), 47.85/7.71 inference(superposition,[],[f96,f879])). 47.85/7.71 thf(f1755,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ X0)) = $false) | (((a0 @ (sK2 @ sK0))) = $false) | ($true = $false) | (((f @ X0)) = $true)) ) | ~spl8_2), 47.85/7.71 inference(superposition,[],[f425,f96])). 47.85/7.71 thf(f1757,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ X0)) = $false) | ($true = ((a0 @ X0))) | ($true = $false) | (((irel @ sK0 @ (sK4 @ sK0))) = $true)) ) | ~spl8_4), 47.85/7.71 inference(superposition,[],[f479,f96])). 47.85/7.71 thf(f1781,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((f @ X0)) = $true) | (((irel @ sK0 @ X0)) = $false) | (((a0 @ (sK2 @ sK0))) = $false)) ) | ~spl8_2), 47.85/7.71 inference(trivial_inequality_removal,[],[f1755])). 47.85/7.71 thf(f1783,plain,( 47.85/7.71 ( ! [X0 : $i,X1 : $i] : ((((irel @ sK0 @ X0)) = $false) | ($true = ((a0 @ X0))) | (((b0 @ X1)) = $true) | (((irel @ (sK4 @ sK0) @ X1)) = $false)) ) | ~spl8_13), 47.85/7.71 inference(trivial_inequality_removal,[],[f1748])). 47.85/7.71 thf(f1787,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ (sK4 @ sK0))) = $true) | (((irel @ sK0 @ X0)) = $false) | ($true = ((a0 @ X0)))) ) | ~spl8_4), 47.85/7.71 inference(trivial_inequality_removal,[],[f1757])). 47.85/7.71 thf(f1795,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ X0)) = $false) | (((a1 @ (sK7 @ sK0))) = $false) | ($true = ((a0 @ X0)))) ) | ~spl8_9), 47.85/7.71 inference(trivial_inequality_removal,[],[f1744])). 47.85/7.71 thf(f1802,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ (sK4 @ sK0) @ (sK7 @ sK0))) = $true) | ($true = ((a0 @ X0))) | (((irel @ sK0 @ X0)) = $false)) ) | ~spl8_8), 47.85/7.71 inference(trivial_inequality_removal,[],[f1743])). 47.85/7.71 thf(f1804,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ (sK2 @ sK0))) = $true) | (((irel @ sK0 @ X0)) = $false) | (((f @ X0)) = $true)) ) | ~spl8_3), 47.85/7.71 inference(trivial_inequality_removal,[],[f1738])). 47.85/7.71 thf(f1809,definition,( 47.85/7.71 spl8_34 <=> (((irel @ sK0 @ (sK4 @ sK0))) = $true)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_34])],[avatar_definition])). 47.85/7.71 thf(f1811,plain,( 47.85/7.71 (((irel @ sK0 @ (sK4 @ sK0))) = $true) | ~spl8_34), 47.85/7.71 inference(avatar_component_clause,[],[f1809])). 47.85/7.71 thf(f1813,definition,( 47.85/7.71 spl8_35 <=> ! [X0 : $i] : (($true = ((a0 @ X0))) | (((irel @ sK0 @ X0)) = $false))), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_35])],[avatar_definition])). 47.85/7.71 thf(f1814,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ X0)) = $false) | ($true = ((a0 @ X0)))) ) | ~spl8_35), 47.85/7.71 inference(avatar_component_clause,[],[f1813])). 47.85/7.71 thf(f1831,definition,( 47.85/7.71 spl8_38 <=> ! [X1 : $i] : ((((b0 @ X1)) = $true) | (((irel @ (sK4 @ sK0) @ X1)) = $false))), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_38])],[avatar_definition])). 47.85/7.71 thf(f1832,plain,( 47.85/7.71 ( ! [X1 : $i] : ((((irel @ (sK4 @ sK0) @ X1)) = $false) | (((b0 @ X1)) = $true)) ) | ~spl8_38), 47.85/7.71 inference(avatar_component_clause,[],[f1831])). 47.85/7.71 thf(f1844,plain,( 47.85/7.71 spl8_35 | spl8_38 | ~spl8_13), 47.85/7.71 inference(avatar_split_clause,[],[f1783,f878,f1831,f1813])). 47.85/7.71 thf(f1846,definition,( 47.85/7.71 spl8_41 <=> (((irel @ (sK4 @ sK0) @ (sK7 @ sK0))) = $true)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_41])],[avatar_definition])). 47.85/7.71 thf(f1848,plain,( 47.85/7.71 (((irel @ (sK4 @ sK0) @ (sK7 @ sK0))) = $true) | ~spl8_41), 47.85/7.71 inference(avatar_component_clause,[],[f1846])). 47.85/7.71 thf(f1851,plain,( 47.85/7.71 spl8_35 | spl8_34 | ~spl8_4), 47.85/7.71 inference(avatar_split_clause,[],[f1787,f478,f1809,f1813])). 47.85/7.71 thf(f1864,plain,( 47.85/7.71 spl8_26 | spl8_35 | ~spl8_9), 47.85/7.71 inference(avatar_split_clause,[],[f1795,f755,f1813,f1549])). 47.85/7.71 thf(f1866,definition,( 47.85/7.71 spl8_44 <=> ! [X0 : $i] : ((((f @ X0)) = $true) | (((irel @ sK0 @ X0)) = $false))), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_44])],[avatar_definition])). 47.85/7.71 thf(f1867,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ X0)) = $false) | (((f @ X0)) = $true)) ) | ~spl8_44), 47.85/7.71 inference(avatar_component_clause,[],[f1866])). 47.85/7.71 thf(f1879,plain,( 47.85/7.71 spl8_41 | spl8_35 | ~spl8_8), 47.85/7.71 inference(avatar_split_clause,[],[f1802,f750,f1813,f1846])). 47.85/7.71 thf(f1881,plain,( 47.85/7.71 spl8_44 | spl8_32 | ~spl8_3), 47.85/7.71 inference(avatar_split_clause,[],[f1804,f430,f1600,f1866])). 47.85/7.71 thf(f2097,plain,( 47.85/7.71 ($true = ((f @ sK1))) | ($true = $false) | ~spl8_44), 47.85/7.71 inference(superposition,[],[f1867,f122])). 47.85/7.71 thf(f2102,plain,( 47.85/7.71 ($true = ((f @ sK1))) | ~spl8_44), 47.85/7.71 inference(trivial_inequality_removal,[],[f2097])). 47.85/7.71 thf(f2109,plain,( 47.85/7.71 ($true = $false) | ~spl8_44), 47.85/7.71 inference(forward_demodulation,[],[f2102,f121])). 47.85/7.71 thf(f2110,plain,( 47.85/7.71 $false | ~spl8_44), 47.85/7.71 inference(trivial_inequality_removal,[],[f2109])). 47.85/7.71 thf(f2111,plain,( 47.85/7.71 ~spl8_44), 47.85/7.71 inference(avatar_contradiction_clause,[],[f2110])). 47.85/7.71 thf(f2214,plain,( 47.85/7.71 (((a0 @ (sK2 @ sK0))) = $true) | ($true = $false) | (~spl8_32 | ~spl8_35)), 47.85/7.71 inference(superposition,[],[f1602,f1814])). 47.85/7.71 thf(f2238,plain,( 47.85/7.71 ( ! [X0 : $i] : (($true = ((a2 @ X0))) | ($false = ((irel @ (sK4 @ sK0) @ X0))) | (((irel @ (sK4 @ sK0) @ (sK5 @ (sK4 @ sK0)))) = $true) | ($true = $false)) ) | (~spl8_5 | ~spl8_34)), 47.85/7.71 inference(superposition,[],[f1811,f541])). 47.85/7.71 thf(f2244,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((b0 @ (sK9 @ (sK4 @ sK0)))) = $false) | ($false = ((irel @ (sK4 @ sK0) @ X0))) | ($true = $false) | ($true = ((a2 @ X0)))) ) | (~spl8_11 | ~spl8_34)), 47.85/7.71 inference(superposition,[],[f1811,f861])). 47.85/7.71 thf(f2285,plain,( 47.85/7.71 ( ! [X0 : $i] : (($true = ((a2 @ X0))) | ($false = ((irel @ (sK4 @ sK0) @ X0))) | (((irel @ (sK4 @ sK0) @ (sK5 @ (sK4 @ sK0)))) = $true)) ) | (~spl8_5 | ~spl8_34)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2238])). 47.85/7.71 thf(f2295,definition,( 47.85/7.71 spl8_67 <=> ! [X0 : $i] : (($false = ((irel @ (sK4 @ sK0) @ X0))) | ($true = ((a1 @ X0))))), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_67])],[avatar_definition])). 47.85/7.71 thf(f2296,plain,( 47.85/7.71 ( ! [X0 : $i] : (($false = ((irel @ (sK4 @ sK0) @ X0))) | ($true = ((a1 @ X0)))) ) | ~spl8_67), 47.85/7.71 inference(avatar_component_clause,[],[f2295])). 47.85/7.71 thf(f2298,definition,( 47.85/7.71 spl8_68 <=> ($true = ((irel @ (sK4 @ sK0) @ (sK3 @ (sK4 @ sK0)))))), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_68])],[avatar_definition])). 47.85/7.71 thf(f2300,plain,( 47.85/7.71 ($true = ((irel @ (sK4 @ sK0) @ (sK3 @ (sK4 @ sK0))))) | ~spl8_68), 47.85/7.71 inference(avatar_component_clause,[],[f2298])). 47.85/7.71 thf(f2303,definition,( 47.85/7.71 spl8_69 <=> ! [X1 : $i] : ((((irel @ (sK4 @ sK0) @ X1)) = $false) | ($true = ((a2 @ X1))))), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_69])],[avatar_definition])). 47.85/7.71 thf(f2304,plain,( 47.85/7.71 ( ! [X1 : $i] : ((((irel @ (sK4 @ sK0) @ X1)) = $false) | ($true = ((a2 @ X1)))) ) | ~spl8_69), 47.85/7.71 inference(avatar_component_clause,[],[f2303])). 47.85/7.71 thf(f2318,definition,( 47.85/7.71 spl8_73 <=> (((irel @ (sK4 @ sK0) @ (sK5 @ (sK4 @ sK0)))) = $true)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_73])],[avatar_definition])). 47.85/7.71 thf(f2320,plain,( 47.85/7.71 (((irel @ (sK4 @ sK0) @ (sK5 @ (sK4 @ sK0)))) = $true) | ~spl8_73), 47.85/7.71 inference(avatar_component_clause,[],[f2318])). 47.85/7.71 thf(f2323,definition,( 47.85/7.71 spl8_74 <=> (((b0 @ (sK9 @ (sK4 @ sK0)))) = $false)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_74])],[avatar_definition])). 47.85/7.71 thf(f2325,plain,( 47.85/7.71 (((b0 @ (sK9 @ (sK4 @ sK0)))) = $false) | ~spl8_74), 47.85/7.71 inference(avatar_component_clause,[],[f2323])). 47.85/7.71 thf(f2332,definition,( 47.85/7.71 spl8_76 <=> (((a2 @ (sK6 @ (sK4 @ sK0)))) = $false)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_76])],[avatar_definition])). 47.85/7.71 thf(f2334,plain,( 47.85/7.71 (((a2 @ (sK6 @ (sK4 @ sK0)))) = $false) | ~spl8_76), 47.85/7.71 inference(avatar_component_clause,[],[f2332])). 47.85/7.71 thf(f2360,definition,( 47.85/7.71 spl8_82 <=> (((irel @ (sK5 @ (sK4 @ sK0)) @ (sK9 @ (sK4 @ sK0)))) = $true)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_82])],[avatar_definition])). 47.85/7.71 thf(f2362,plain,( 47.85/7.71 (((irel @ (sK5 @ (sK4 @ sK0)) @ (sK9 @ (sK4 @ sK0)))) = $true) | ~spl8_82), 47.85/7.71 inference(avatar_component_clause,[],[f2360])). 47.85/7.71 thf(f2367,definition,( 47.85/7.71 spl8_83 <=> (((irel @ (sK3 @ (sK4 @ sK0)) @ (sK6 @ (sK4 @ sK0)))) = $true)), 47.85/7.71 introduced(definition,[new_symbols(definition,[spl8_83])],[avatar_definition])). 47.85/7.71 thf(f2369,plain,( 47.85/7.71 (((irel @ (sK3 @ (sK4 @ sK0)) @ (sK6 @ (sK4 @ sK0)))) = $true) | ~spl8_83), 47.85/7.71 inference(avatar_component_clause,[],[f2367])). 47.85/7.71 thf(f2387,plain,( 47.85/7.71 (((a0 @ (sK2 @ sK0))) = $true) | (~spl8_32 | ~spl8_35)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2214])). 47.85/7.71 thf(f2393,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ sK0 @ X0)) = $false) | (((f @ X0)) = $true) | ($true = $false)) ) | (~spl8_2 | ~spl8_32 | ~spl8_35)), 47.85/7.71 inference(forward_demodulation,[],[f1781,f2387])). 47.85/7.71 thf(f2394,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((f @ X0)) = $true) | (((irel @ sK0 @ X0)) = $false)) ) | (~spl8_2 | ~spl8_32 | ~spl8_35)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2393])). 47.85/7.71 thf(f2398,plain,( 47.85/7.71 spl8_44 | ~spl8_2 | ~spl8_32 | ~spl8_35), 47.85/7.71 inference(avatar_split_clause,[],[f2394,f1813,f1600,f424,f1866])). 47.85/7.71 thf(f2412,plain,( 47.85/7.71 ( ! [X0 : $i] : (($true = ((a2 @ X0))) | (((b0 @ (sK9 @ (sK4 @ sK0)))) = $false) | ($false = ((irel @ (sK4 @ sK0) @ X0)))) ) | (~spl8_11 | ~spl8_34)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2244])). 47.85/7.71 thf(f2444,plain,( 47.85/7.71 ( ! [X0 : $i] : (($false = ((irel @ (sK4 @ sK0) @ X0))) | ($true = $false) | ($true = ((a1 @ X0))) | ($true = ((irel @ (sK4 @ sK0) @ (sK3 @ (sK4 @ sK0)))))) ) | (~spl8_1 | ~spl8_34)), 47.85/7.71 inference(superposition,[],[f1811,f422])). 47.85/7.71 thf(f2450,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ (sK3 @ (sK4 @ sK0)) @ (sK6 @ (sK4 @ sK0)))) = $true) | ($true = $false) | ($false = ((irel @ (sK4 @ sK0) @ X0))) | ($true = ((a1 @ X0)))) ) | (~spl8_7 | ~spl8_34)), 47.85/7.71 inference(superposition,[],[f1811,f657])). 47.85/7.71 thf(f2455,plain,( 47.85/7.71 ( ! [X0 : $i] : (($true = ((a2 @ X0))) | ($false = ((irel @ (sK4 @ sK0) @ X0))) | (((irel @ (sK5 @ (sK4 @ sK0)) @ (sK9 @ (sK4 @ sK0)))) = $true) | ($true = $false)) ) | (~spl8_12 | ~spl8_34)), 47.85/7.71 inference(superposition,[],[f1811,f865])). 47.85/7.71 thf(f2464,plain,( 47.85/7.71 ( ! [X0 : $i] : (($false = ((irel @ (sK4 @ sK0) @ X0))) | ($true = $false) | (((a2 @ (sK6 @ (sK4 @ sK0)))) = $false) | ($true = ((a1 @ X0)))) ) | (~spl8_6 | ~spl8_34)), 47.85/7.71 inference(superposition,[],[f653,f1811])). 47.85/7.71 thf(f2475,plain,( 47.85/7.71 ( ! [X0 : $i] : (($true = ((a1 @ X0))) | ($false = ((irel @ (sK4 @ sK0) @ X0))) | (((a2 @ (sK6 @ (sK4 @ sK0)))) = $false)) ) | (~spl8_6 | ~spl8_34)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2464])). 47.85/7.71 thf(f2491,plain,( 47.85/7.71 ( ! [X0 : $i] : (($false = ((irel @ (sK4 @ sK0) @ X0))) | ($true = ((irel @ (sK4 @ sK0) @ (sK3 @ (sK4 @ sK0))))) | ($true = ((a1 @ X0)))) ) | (~spl8_1 | ~spl8_34)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2444])). 47.85/7.71 thf(f2495,plain,( 47.85/7.71 ( ! [X0 : $i] : (($false = ((irel @ (sK4 @ sK0) @ X0))) | (((irel @ (sK3 @ (sK4 @ sK0)) @ (sK6 @ (sK4 @ sK0)))) = $true) | ($true = ((a1 @ X0)))) ) | (~spl8_7 | ~spl8_34)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2450])). 47.85/7.71 thf(f2497,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ (sK5 @ (sK4 @ sK0)) @ (sK9 @ (sK4 @ sK0)))) = $true) | ($true = ((a2 @ X0))) | ($false = ((irel @ (sK4 @ sK0) @ X0)))) ) | (~spl8_12 | ~spl8_34)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2455])). 47.85/7.71 thf(f2553,plain,( 47.85/7.71 ( ! [X0 : $i,X1 : $i] : ((((irel @ (sK4 @ sK0) @ X1)) = $false) | (((irel @ X1 @ X0)) = $false) | ($true = $false) | (((b0 @ X0)) = $true)) ) | ~spl8_38), 47.85/7.71 inference(superposition,[],[f107,f1832])). 47.85/7.71 thf(f2611,plain,( 47.85/7.71 ( ! [X0 : $i,X1 : $i] : ((((irel @ (sK4 @ sK0) @ X1)) = $false) | (((b0 @ X0)) = $true) | (((irel @ X1 @ X0)) = $false)) ) | ~spl8_38), 47.85/7.71 inference(trivial_inequality_removal,[],[f2553])). 47.85/7.71 thf(f2656,plain,( 47.85/7.71 ($true = $false) | ($true = ((a1 @ (sK7 @ sK0)))) | (~spl8_41 | ~spl8_67)), 47.85/7.71 inference(superposition,[],[f2296,f1848])). 47.85/7.71 thf(f2666,plain,( 47.85/7.71 ($true = ((a1 @ (sK7 @ sK0)))) | (~spl8_41 | ~spl8_67)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2656])). 47.85/7.71 thf(f2671,plain,( 47.85/7.71 ($true = $false) | (~spl8_26 | ~spl8_41 | ~spl8_67)), 47.85/7.71 inference(forward_demodulation,[],[f2666,f1551])). 47.85/7.71 thf(f2672,plain,( 47.85/7.71 $false | (~spl8_26 | ~spl8_41 | ~spl8_67)), 47.85/7.71 inference(trivial_inequality_removal,[],[f2671])). 47.85/7.71 thf(f2673,plain,( 47.85/7.71 ~spl8_26 | ~spl8_41 | ~spl8_67), 47.85/7.71 inference(avatar_contradiction_clause,[],[f2672])). 47.85/7.71 thf(f2676,plain,( 47.85/7.71 spl8_68 | spl8_67 | ~spl8_1 | ~spl8_34), 47.85/7.71 inference(avatar_split_clause,[],[f2491,f1809,f421,f2295,f2298])). 47.85/7.71 thf(f2677,plain,( 47.85/7.71 spl8_67 | spl8_83 | ~spl8_7 | ~spl8_34), 47.85/7.71 inference(avatar_split_clause,[],[f2495,f1809,f656,f2367,f2295])). 47.85/7.71 thf(f2678,plain,( 47.85/7.71 spl8_76 | spl8_67 | ~spl8_6 | ~spl8_34), 47.85/7.71 inference(avatar_split_clause,[],[f2475,f1809,f652,f2295,f2332])). 47.85/7.71 thf(f2682,plain,( 47.85/7.71 ( ! [X0 : $i,X1 : $i] : ((((irel @ X1 @ X0)) = $false) | ($true = ((a2 @ X0))) | (((irel @ (sK4 @ sK0) @ X1)) = $false) | ($true = $false)) ) | ~spl8_69), 47.85/7.71 inference(superposition,[],[f2304,f107])). 47.85/7.71 thf(f2689,plain,( 47.85/7.71 ( ! [X0 : $i,X1 : $i] : ((((irel @ (sK4 @ sK0) @ X1)) = $false) | ($true = ((a2 @ X0))) | (((irel @ X1 @ X0)) = $false)) ) | ~spl8_69), 47.85/7.71 inference(trivial_inequality_removal,[],[f2682])). 47.85/7.71 thf(f3919,plain,( 47.85/7.71 ( ! [X0 : $i] : (($true = ((a2 @ X0))) | ($true = $false) | (((irel @ (sK3 @ (sK4 @ sK0)) @ X0)) = $false)) ) | (~spl8_68 | ~spl8_69)), 47.85/7.71 inference(superposition,[],[f2689,f2300])). 47.85/7.71 thf(f3928,plain,( 47.85/7.71 ( ! [X0 : $i] : ((((irel @ (sK3 @ (sK4 @ sK0)) @ X0)) = $false) | ($true = ((a2 @ X0)))) ) | (~spl8_68 | ~spl8_69)), 47.85/7.71 inference(trivial_inequality_removal,[],[f3919])). 47.85/7.71 thf(f3949,plain,( 47.85/7.71 (((a2 @ (sK6 @ (sK4 @ sK0)))) = $true) | ($true = $false) | (~spl8_68 | ~spl8_69 | ~spl8_83)), 47.85/7.71 inference(superposition,[],[f3928,f2369])). 47.85/7.71 thf(f3957,plain,( 47.85/7.71 (((a2 @ (sK6 @ (sK4 @ sK0)))) = $true) | (~spl8_68 | ~spl8_69 | ~spl8_83)), 47.85/7.71 inference(trivial_inequality_removal,[],[f3949])). 47.85/7.71 thf(f3964,plain,( 47.85/7.71 ($true = $false) | (~spl8_68 | ~spl8_69 | ~spl8_76 | ~spl8_83)), 47.85/7.71 inference(forward_demodulation,[],[f3957,f2334])). 47.85/7.71 thf(f3965,plain,( 47.85/7.71 $false | (~spl8_68 | ~spl8_69 | ~spl8_76 | ~spl8_83)), 47.85/7.71 inference(trivial_inequality_removal,[],[f3964])). 47.85/7.71 thf(f3966,plain,( 47.85/7.71 ~spl8_68 | ~spl8_69 | ~spl8_76 | ~spl8_83), 47.85/7.71 inference(avatar_contradiction_clause,[],[f3965])). 47.85/7.71 thf(f3969,plain,( 47.85/7.71 spl8_69 | spl8_82 | ~spl8_12 | ~spl8_34), 47.85/7.71 inference(avatar_split_clause,[],[f2497,f1809,f864,f2360,f2303])). 47.85/7.71 thf(f3970,plain,( 47.85/7.71 spl8_69 | spl8_74 | ~spl8_11 | ~spl8_34), 47.85/7.71 inference(avatar_split_clause,[],[f2412,f1809,f860,f2323,f2303])). 47.85/7.71 thf(f3973,plain,( 47.85/7.71 spl8_69 | spl8_73 | ~spl8_5 | ~spl8_34), 47.85/7.71 inference(avatar_split_clause,[],[f2285,f1809,f540,f2318,f2303])). 47.85/7.71 thf(f3980,plain,( 47.85/7.71 ( ! [X0 : $i] : (($false = ((irel @ (sK5 @ (sK4 @ sK0)) @ X0))) | (((b0 @ X0)) = $true) | ($true = $false)) ) | (~spl8_38 | ~spl8_73)), 47.85/7.71 inference(superposition,[],[f2611,f2320])). 47.85/7.71 thf(f3985,plain,( 47.85/7.71 ( ! [X0 : $i] : (($false = ((irel @ (sK5 @ (sK4 @ sK0)) @ X0))) | (((b0 @ X0)) = $true)) ) | (~spl8_38 | ~spl8_73)), 47.85/7.71 inference(trivial_inequality_removal,[],[f3980])). 47.85/7.71 thf(f4014,plain,( 47.85/7.71 ($true = $false) | (((b0 @ (sK9 @ (sK4 @ sK0)))) = $true) | (~spl8_38 | ~spl8_73 | ~spl8_82)), 47.85/7.71 inference(superposition,[],[f3985,f2362])). 47.85/7.71 thf(f4018,plain,( 47.85/7.71 (((b0 @ (sK9 @ (sK4 @ sK0)))) = $true) | (~spl8_38 | ~spl8_73 | ~spl8_82)), 47.85/7.71 inference(trivial_inequality_removal,[],[f4014])). 47.85/7.71 thf(f4023,plain,( 47.85/7.71 ($true = $false) | (~spl8_38 | ~spl8_73 | ~spl8_74 | ~spl8_82)), 47.85/7.71 inference(forward_demodulation,[],[f4018,f2325])). 47.85/7.71 thf(f4024,plain,( 47.85/7.71 $false | (~spl8_38 | ~spl8_73 | ~spl8_74 | ~spl8_82)), 47.85/7.71 inference(trivial_inequality_removal,[],[f4023])). 47.85/7.71 thf(f4025,plain,( 47.85/7.71 ~spl8_38 | ~spl8_73 | ~spl8_74 | ~spl8_82), 47.85/7.71 inference(avatar_contradiction_clause,[],[f4024])). 47.85/7.71 cnf(s7, plain, spl8_3 | spl8_3, inference(sat_conversion,[],[f555])). 47.85/7.71 cnf(s8, plain, spl8_3, inference(rat,[],[s7])). 47.85/7.71 cnf(s9, plain, spl8_2 | spl8_2, inference(sat_conversion,[],[f556])). 47.85/7.71 cnf(s10, plain, spl8_2, inference(rat,[],[s9])). 47.85/7.71 cnf(s14, plain, spl8_1 | spl8_1, inference(sat_conversion,[],[f587])). 47.85/7.71 cnf(s15, plain, spl8_1, inference(rat,[],[s14])). 47.85/7.71 cnf(s23, plain, spl8_4 | spl8_4, inference(sat_conversion,[],[f692])). 47.85/7.71 cnf(s24, plain, spl8_4, inference(rat,[],[s23])). 47.85/7.71 cnf(s27, plain, spl8_5 | spl8_5, inference(sat_conversion,[],[f725])). 47.85/7.71 cnf(s28, plain, spl8_5, inference(rat,[],[s27])). 47.85/7.71 cnf(s121, plain, spl8_7 | spl8_7, inference(sat_conversion,[],[f1285])). 47.85/7.71 cnf(s122, plain, spl8_7, inference(rat,[],[s121])). 47.85/7.71 cnf(s124, plain, spl8_6 | spl8_6, inference(sat_conversion,[],[f1287])). 47.85/7.71 cnf(s125, plain, spl8_6, inference(rat,[],[s124])). 47.85/7.71 cnf(s152, plain, spl8_8 | spl8_8, inference(sat_conversion,[],[f1384])). 47.85/7.71 cnf(s153, plain, spl8_8, inference(rat,[],[s152])). 47.85/7.71 cnf(s155, plain, spl8_9 | spl8_9, inference(sat_conversion,[],[f1387])). 47.85/7.71 cnf(s156, plain, spl8_9, inference(rat,[],[s155])). 47.85/7.71 cnf(s162, plain, spl8_12 | spl8_12, inference(sat_conversion,[],[f1408])). 47.85/7.71 cnf(s163, plain, spl8_12, inference(rat,[],[s162])). 47.85/7.71 cnf(s164, plain, spl8_11 | spl8_11, inference(sat_conversion,[],[f1410])). 47.85/7.71 cnf(s165, plain, spl8_11, inference(rat,[],[s164])). 47.85/7.71 cnf(s201, plain, spl8_13 | spl8_13, inference(sat_conversion,[],[f1466])). 47.85/7.71 cnf(s202, plain, spl8_13, inference(rat,[],[s201])). 47.85/7.71 cnf(s238, plain, ~spl8_13 | spl8_35 | spl8_38, inference(sat_conversion,[],[f1844])). 47.85/7.71 cnf(s241, plain, ~spl8_4 | spl8_34 | spl8_35, inference(sat_conversion,[],[f1851])). 47.85/7.71 cnf(s247, plain, ~spl8_9 | spl8_26 | spl8_35, inference(sat_conversion,[],[f1864])). 47.85/7.71 cnf(s252, plain, ~spl8_8 | spl8_35 | spl8_41, inference(sat_conversion,[],[f1879])). 47.85/7.71 cnf(s254, plain, ~spl8_3 | spl8_32 | spl8_44, inference(sat_conversion,[],[f1881])). 47.85/7.71 cnf(s291, plain, ~spl8_44, inference(sat_conversion,[],[f2111])). 47.85/7.71 cnf(s345, plain, ~spl8_2 | ~spl8_32 | ~spl8_35 | spl8_44, inference(sat_conversion,[],[f2398])). 47.85/7.71 cnf(s374, plain, ~spl8_26 | ~spl8_41 | ~spl8_67, inference(sat_conversion,[],[f2673])). 47.85/7.71 cnf(s377, plain, ~spl8_1 | ~spl8_34 | spl8_67 | spl8_68, inference(sat_conversion,[],[f2676])). 47.85/7.71 cnf(s378, plain, ~spl8_7 | ~spl8_34 | spl8_67 | spl8_83, inference(sat_conversion,[],[f2677])). 47.85/7.71 cnf(s379, plain, ~spl8_6 | ~spl8_34 | spl8_67 | spl8_76, inference(sat_conversion,[],[f2678])). 47.85/7.71 cnf(s481, plain, ~spl8_68 | ~spl8_69 | ~spl8_76 | ~spl8_83, inference(sat_conversion,[],[f3966])). 47.85/7.71 cnf(s484, plain, ~spl8_12 | ~spl8_34 | spl8_69 | spl8_82, inference(sat_conversion,[],[f3969])). 47.85/7.71 cnf(s485, plain, ~spl8_11 | ~spl8_34 | spl8_69 | spl8_74, inference(sat_conversion,[],[f3970])). 47.85/7.71 cnf(s488, plain, ~spl8_5 | ~spl8_34 | spl8_69 | spl8_73, inference(sat_conversion,[],[f3973])). 47.85/7.71 cnf(s490, plain, ~spl8_38 | ~spl8_73 | ~spl8_74 | ~spl8_82, inference(sat_conversion,[],[f4025])). 47.85/7.71 cnf(s491, plain, ~spl8_3 | spl8_32, inference(rat,[],[s254,s291])). 47.85/7.71 cnf(s500, plain, spl8_32, inference(rat,[],[s491,s8])). 47.85/7.71 cnf(s504, plain, ~spl8_35, inference(rat,[],[s345,s291,s10,s500])). 47.85/7.71 cnf(s509, plain, spl8_41, inference(rat,[],[s252,s153,s504])). 47.85/7.71 cnf(s510, plain, spl8_38, inference(rat,[],[s238,s202,s504])). 47.85/7.71 cnf(s511, plain, spl8_26, inference(rat,[],[s247,s156,s504])). 47.85/7.71 cnf(s512, plain, spl8_34, inference(rat,[],[s241,s24,s504])). 47.85/7.71 cnf(s521, plain, ~spl8_67, inference(rat,[],[s374,s509,s511])). 47.85/7.71 cnf(s526, plain, spl8_76, inference(rat,[],[s379,s512,s125,s521])). 47.85/7.71 cnf(s527, plain, spl8_83, inference(rat,[],[s378,s512,s122,s521])). 47.85/7.71 cnf(s528, plain, spl8_68, inference(rat,[],[s377,s512,s15,s521])). 47.85/7.71 cnf(s541, plain, ~spl8_69, inference(rat,[],[s481,s527,s526,s528])). 47.85/7.71 cnf(s545, plain, spl8_74, inference(rat,[],[s485,s512,s165,s541])). 47.85/7.71 cnf(s546, plain, spl8_82, inference(rat,[],[s484,s512,s163,s541])). 47.85/7.71 cnf(s547, plain, spl8_73, inference(rat,[],[s488,s512,s28,s541])). 47.85/7.71 cnf(s557, plain, $false, inference(rat,[],[s490,s546,s510,s545,s547])). 47.85/7.71 thf(f4026,plain,( 47.85/7.71 $false), 47.85/7.71 inference(avatar_sat_refutation,[],[s557])). 47.85/7.71 % SZS output end Proof for theBenchmark 47.85/7.71 % (1415705)------------------------------ 47.85/7.71 % (1415705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 47.85/7.71 % (1415705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 47.85/7.71 % (1415705)CaDiCaL version: 2.1.3 47.85/7.71 % (1415705)Termination reason: Refutation 47.85/7.71 % (1415705)Time elapsed: 0.118 s 47.85/7.71 % (1415705)Peak memory usage: 14 MB 47.85/7.71 % (1415705)Instructions burned: 493 (million) 47.85/7.71 % (1415232)Success in time 7.278 s 47.85/7.71 % Vampire exiting 47.85/7.71 EOF