0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n010.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 05:55:24 EDT 2024 0.12/0.34 % CPUTime : 0.12/0.36 This is a TFF_ problem 0.12/0.36 Running first-order theorem proving 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.42 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (20167)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.21/0.42 % (20167)Instruction limit reached! 0.21/0.42 % (20167)------------------------------ 0.21/0.42 % (20167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.42 % (20167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.42 % (20167)Termination reason: Time limit 0.21/0.42 % (20167)Termination phase: Saturation 0.21/0.42 0.21/0.42 % (20167)Memory used [KB]: 841 0.21/0.42 % (20167)Time elapsed: 0.004 s 0.21/0.42 % (20167)Instructions burned: 3 (million) 0.21/0.42 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (20169)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/15Mi) 0.21/0.42 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (20168)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/37Mi) 0.21/0.42 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (20166)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/8Mi) 0.21/0.42 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (20170)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/32Mi) 0.21/0.42 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (20164)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/59848Mi) 0.21/0.42 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (20165)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/34Mi) 0.21/0.43 % (20166)Instruction limit reached! 0.21/0.43 % (20166)------------------------------ 0.21/0.43 % (20166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.43 % (20166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.43 % (20166)Termination reason: Time limit 0.21/0.43 % (20166)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (20166)Memory used [KB]: 882 0.21/0.43 % (20166)Time elapsed: 0.009 s 0.21/0.43 % (20166)Instructions burned: 9 (million) 0.21/0.43 % (20169)Instruction limit reached! 0.21/0.43 % (20169)------------------------------ 0.21/0.43 % (20169)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.43 % (20169)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.43 % (20169)Termination reason: Time limit 0.21/0.43 % (20169)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (20169)Memory used [KB]: 899 0.21/0.43 % (20169)Time elapsed: 0.013 s 0.21/0.43 % (20169)Instructions burned: 15 (million) 0.21/0.45 % (20165)Instruction limit reached! 0.21/0.45 % (20165)------------------------------ 0.21/0.45 % (20165)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.45 % (20165)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.45 % (20165)Termination reason: Time limit 0.21/0.45 % (20165)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (20165)Memory used [KB]: 1074 0.21/0.45 % (20165)Time elapsed: 0.024 s 0.21/0.45 % (20165)Instructions burned: 34 (million) 0.21/0.45 % (20170)Instruction limit reached! 0.21/0.45 % (20170)------------------------------ 0.21/0.45 % (20170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.45 % (20170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.45 % (20170)Termination reason: Time limit 0.21/0.45 % (20170)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (20170)Memory used [KB]: 1200 0.21/0.45 % (20170)Time elapsed: 0.026 s 0.21/0.45 % (20170)Instructions burned: 32 (million) 0.21/0.45 % (20168)Instruction limit reached! 0.21/0.45 % (20168)------------------------------ 0.21/0.45 % (20168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.45 % (20168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.45 % (20168)Termination reason: Time limit 0.21/0.45 % (20168)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (20168)Memory used [KB]: 1199 0.21/0.45 % (20168)Time elapsed: 0.028 s 0.21/0.45 % (20168)Instructions burned: 37 (million) 0.21/0.48 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.48 % (20171)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/36Mi) 0.21/0.49 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (20172)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/26Mi) 0.21/0.49 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (20173)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.21/0.50 % (20173)Instruction limit reached! 0.21/0.50 % (20173)------------------------------ 0.21/0.50 % (20173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.50 % (20173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.50 % (20173)Termination reason: Time limit 0.21/0.50 % (20173)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (20173)Memory used [KB]: 756 0.21/0.50 % (20173)Time elapsed: 0.003 s 0.21/0.50 % (20173)Instructions burned: 2 (million) 0.21/0.50 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.50 % (20182)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/4Mi) 0.21/0.50 % (20171)Instruction limit reached! 0.21/0.50 % (20171)------------------------------ 0.21/0.50 % (20171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.50 % (20171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.50 % (20171)Termination reason: Time limit 0.21/0.50 % (20171)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (20171)Memory used [KB]: 1124 0.21/0.50 % (20171)Time elapsed: 0.026 s 0.21/0.50 % (20171)Instructions burned: 37 (million) 0.21/0.50 % (20182)Instruction limit reached! 0.21/0.50 % (20182)------------------------------ 0.21/0.50 % (20182)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.50 % (20182)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.50 % (20182)Termination reason: Time limit 0.21/0.50 % (20182)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (20182)Memory used [KB]: 844 0.21/0.50 % (20182)Time elapsed: 0.004 s 0.21/0.50 % (20182)Instructions burned: 5 (million) 0.21/0.51 % (20172)Instruction limit reached! 0.21/0.51 % (20172)------------------------------ 0.21/0.51 % (20172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.51 % (20172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.51 % (20172)Termination reason: Time limit 0.21/0.51 % (20172)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (20172)Memory used [KB]: 936 0.21/0.51 % (20172)Time elapsed: 0.017 s 0.21/0.51 % (20172)Instructions burned: 27 (million) 0.21/0.51 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.51 % (20184)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.21/0.51 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.51 % (20180)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/35Mi) 0.21/0.51 % (20184)Instruction limit reached! 0.21/0.51 % (20184)------------------------------ 0.21/0.51 % (20184)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.51 % (20184)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.51 % (20184)Termination reason: Time limit 0.21/0.51 % (20184)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (20184)Memory used [KB]: 759 0.21/0.51 % (20184)Time elapsed: 0.002 s 0.21/0.51 % (20184)Instructions burned: 2 (million) 0.21/0.51 % (20164)First to succeed. 0.21/0.51 % (20164)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20163" 0.21/0.52 % (20163)Running in auto input_syntax mode. Trying TPTP 0.21/0.52 % (20164)Refutation found. Thanks to Tanya! 0.21/0.52 % SZS status Theorem for theBenchmark 0.21/0.52 % SZS output start Proof for theBenchmark 0.21/0.52 tff(func_def_7, type, sK0: $int). 0.21/0.52 tff(func_def_8, type, sK1: $int). 0.21/0.52 tff(func_def_9, type, sK2: $int). 0.21/0.52 tff(func_def_10, type, sF3: $int). 0.21/0.52 tff(func_def_11, type, sF4: $int). 0.21/0.52 tff(func_def_12, type, sF5: $int). 0.21/0.52 tff(func_def_13, type, sF6: $int). 0.21/0.52 tff(func_def_14, type, sF7: $int). 0.21/0.52 tff(func_def_15, type, sF8: $int). 0.21/0.52 tff(f639,plain,( 0.21/0.52 $false), 0.21/0.52 inference(avatar_smt_refutation,[],[f38,f42,f46,f50,f54,f61,f65,f69,f76,f81,f86,f110,f300,f304,f387,f404,f410,f418,f457,f464,f472,f501,f606,f635,f637])). 0.21/0.52 tff(f637,plain,( 0.21/0.52 ~spl9_7 | spl9_24 | ~spl9_26), 0.21/0.52 inference(avatar_contradiction_clause,[],[f636])). 0.21/0.52 tff(f636,plain,( 0.21/0.52 $false | (~spl9_7 | spl9_24 | ~spl9_26)), 0.21/0.52 inference(evaluation,[],[f631])). 0.21/0.52 tff(f631,plain,( 0.21/0.52 ~$less(2,10) | (~spl9_7 | spl9_24 | ~spl9_26)), 0.21/0.52 inference(backward_demodulation,[],[f468,f619])). 0.21/0.52 tff(f619,plain,( 0.21/0.52 2 = sF6 | (~spl9_7 | ~spl9_26)), 0.21/0.52 inference(evaluation,[],[f607])). 0.21/0.52 tff(f607,plain,( 0.21/0.52 sF6 = $product(2,1) | (~spl9_7 | ~spl9_26)), 0.21/0.52 inference(backward_demodulation,[],[f64,f602])). 0.21/0.52 tff(f602,plain,( 0.21/0.52 1 = sK1 | ~spl9_26), 0.21/0.52 inference(avatar_component_clause,[],[f601])). 0.21/0.52 tff(f601,plain,( 0.21/0.52 spl9_26 <=> 1 = sK1), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_26])])). 0.21/0.52 tff(f64,plain,( 0.21/0.52 $product(2,sK1) = sF6 | ~spl9_7), 0.21/0.52 inference(avatar_component_clause,[],[f63])). 0.21/0.52 tff(f63,plain,( 0.21/0.52 spl9_7 <=> $product(2,sK1) = sF6), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_7])])). 0.21/0.52 tff(f468,plain,( 0.21/0.52 ~$less(sF6,10) | spl9_24), 0.21/0.52 inference(avatar_component_clause,[],[f467])). 0.21/0.52 tff(f467,plain,( 0.21/0.52 spl9_24 <=> $less(sF6,10)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_24])])). 0.21/0.52 tff(f635,plain,( 0.21/0.52 spl9_28 | ~spl9_7 | ~spl9_26), 0.21/0.52 inference(avatar_split_clause,[],[f619,f601,f63,f633])). 0.21/0.52 tff(f633,plain,( 0.21/0.52 spl9_28 <=> 2 = sF6), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_28])])). 0.21/0.52 tff(f606,plain,( 0.21/0.52 spl9_26 | spl9_27 | spl9_18), 0.21/0.52 inference(avatar_split_clause,[],[f419,f413,f604,f601])). 0.21/0.52 tff(f604,plain,( 0.21/0.52 spl9_27 <=> $less(1,sK1)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_27])])). 0.21/0.52 tff(f413,plain,( 0.21/0.52 spl9_18 <=> $less(sK1,1)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_18])])). 0.21/0.52 tff(f419,plain,( 0.21/0.52 $less(1,sK1) | 1 = sK1 | spl9_18), 0.21/0.52 inference(resolution,[],[f414,f10])). 0.21/0.52 tff(f10,plain,( 0.21/0.52 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | X0 = X1 | $less(X0,X1)) )), 0.21/0.52 introduced(theory_axiom_152,[])). 0.21/0.52 tff(f414,plain,( 0.21/0.52 ~$less(sK1,1) | spl9_18), 0.21/0.52 inference(avatar_component_clause,[],[f413])). 0.21/0.52 tff(f501,plain,( 0.21/0.52 ~spl9_23 | ~spl9_13 | spl9_22), 0.21/0.52 inference(avatar_split_clause,[],[f499,f459,f298,f462])). 0.21/0.52 tff(f462,plain,( 0.21/0.52 spl9_23 <=> $less(10,sF3)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_23])])). 0.21/0.52 tff(f298,plain,( 0.21/0.52 spl9_13 <=> sK1 = $sum(10,$uminus(sF3))), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_13])])). 0.21/0.52 tff(f459,plain,( 0.21/0.52 spl9_22 <=> $less(sK1,0)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_22])])). 0.21/0.52 tff(f499,plain,( 0.21/0.52 ~$less(10,sF3) | (~spl9_13 | spl9_22)), 0.21/0.52 inference(subsumption_resolution,[],[f493,f460])). 0.21/0.52 tff(f460,plain,( 0.21/0.52 ~$less(sK1,0) | spl9_22), 0.21/0.52 inference(avatar_component_clause,[],[f459])). 0.21/0.52 tff(f493,plain,( 0.21/0.52 ~$less(10,sF3) | $less(sK1,0) | ~spl9_13), 0.21/0.52 inference(superposition,[],[f142,f299])). 0.21/0.52 tff(f299,plain,( 0.21/0.52 sK1 = $sum(10,$uminus(sF3)) | ~spl9_13), 0.21/0.52 inference(avatar_component_clause,[],[f298])). 0.21/0.52 tff(f142,plain,( 0.21/0.52 ( ! [X0 : $int,X1 : $int] : ($less($sum(X1,$uminus(X0)),0) | ~$less(X1,X0)) )), 0.21/0.52 inference(superposition,[],[f11,f7])). 0.21/0.52 tff(f7,plain,( 0.21/0.52 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )), 0.21/0.52 introduced(theory_axiom_148,[])). 0.21/0.52 tff(f11,plain,( 0.21/0.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )), 0.21/0.52 introduced(theory_axiom_153,[])). 0.21/0.52 tff(f472,plain,( 0.21/0.52 ~spl9_24 | ~spl9_25 | ~spl9_12), 0.21/0.52 inference(avatar_split_clause,[],[f395,f108,f470,f467])). 0.21/0.52 tff(f470,plain,( 0.21/0.52 spl9_25 <=> $less(sK0,1)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_25])])). 0.21/0.52 tff(f108,plain,( 0.21/0.52 spl9_12 <=> 10 = $sum(sK0,sF6)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_12])])). 0.21/0.52 tff(f395,plain,( 0.21/0.52 ~$less(sF6,10) | ~$less(sK0,1) | ~spl9_12), 0.21/0.52 inference(resolution,[],[f112,f194])). 0.21/0.52 tff(f194,plain,( 0.21/0.52 ( ! [X0 : $int] : ($less(10,$sum(X0,sF6)) | ~$less(sK0,X0)) ) | ~spl9_12), 0.21/0.52 inference(superposition,[],[f11,f109])). 0.21/0.52 tff(f109,plain,( 0.21/0.52 10 = $sum(sK0,sF6) | ~spl9_12), 0.21/0.52 inference(avatar_component_clause,[],[f108])). 0.21/0.52 tff(f112,plain,( 0.21/0.52 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )), 0.21/0.52 inference(superposition,[],[f20,f3])). 0.21/0.52 tff(f3,plain,( 0.21/0.52 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.21/0.52 introduced(theory_axiom_143,[])). 0.21/0.52 tff(f20,plain,( 0.21/0.52 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )), 0.21/0.52 introduced(theory_axiom_169,[])). 0.21/0.52 tff(f464,plain,( 0.21/0.52 ~spl9_22 | spl9_23 | ~spl9_10), 0.21/0.52 inference(avatar_split_clause,[],[f342,f79,f462,f459])). 0.21/0.52 tff(f79,plain,( 0.21/0.52 spl9_10 <=> 10 = $sum(sK1,sF3)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_10])])). 0.21/0.52 tff(f342,plain,( 0.21/0.52 ~$less(sK1,0) | $less(10,sF3) | ~spl9_10), 0.21/0.52 inference(superposition,[],[f196,f5])). 0.21/0.52 tff(f5,plain,( 0.21/0.52 ( ! [X0 : $int] : ($sum(X0,0) = X0) )), 0.21/0.52 introduced(theory_axiom_145,[])). 0.21/0.52 tff(f196,plain,( 0.21/0.52 ( ! [X0 : $int] : ($less(10,$sum(sF3,X0)) | ~$less(sK1,X0)) ) | ~spl9_10), 0.21/0.52 inference(superposition,[],[f139,f3])). 0.21/0.52 tff(f139,plain,( 0.21/0.52 ( ! [X0 : $int] : ($less(10,$sum(X0,sF3)) | ~$less(sK1,X0)) ) | ~spl9_10), 0.21/0.52 inference(superposition,[],[f11,f80])). 0.21/0.52 tff(f80,plain,( 0.21/0.52 10 = $sum(sK1,sF3) | ~spl9_10), 0.21/0.52 inference(avatar_component_clause,[],[f79])). 0.21/0.52 tff(f457,plain,( 0.21/0.52 ~spl9_20 | ~spl9_21 | ~spl9_11), 0.21/0.52 inference(avatar_split_clause,[],[f394,f84,f455,f452])). 0.21/0.52 tff(f452,plain,( 0.21/0.52 spl9_20 <=> $less(sF6,1)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_20])])). 0.21/0.52 tff(f455,plain,( 0.21/0.52 spl9_21 <=> $less(sK0,10)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_21])])). 0.21/0.52 tff(f84,plain,( 0.21/0.52 spl9_11 <=> 10 = $sum(sF6,sK0)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_11])])). 0.21/0.52 tff(f394,plain,( 0.21/0.52 ~$less(sF6,1) | ~$less(sK0,10) | ~spl9_11), 0.21/0.52 inference(resolution,[],[f112,f140])). 0.21/0.52 tff(f140,plain,( 0.21/0.52 ( ! [X0 : $int] : ($less(10,$sum(X0,sK0)) | ~$less(sF6,X0)) ) | ~spl9_11), 0.21/0.52 inference(superposition,[],[f11,f85])). 0.21/0.52 tff(f85,plain,( 0.21/0.52 10 = $sum(sF6,sK0) | ~spl9_11), 0.21/0.52 inference(avatar_component_clause,[],[f84])). 0.21/0.52 tff(f418,plain,( 0.21/0.52 ~spl9_18 | ~spl9_19 | ~spl9_10), 0.21/0.52 inference(avatar_split_clause,[],[f393,f79,f416,f413])). 0.21/0.52 tff(f416,plain,( 0.21/0.52 spl9_19 <=> $less(sF3,10)), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_19])])). 0.21/0.52 tff(f393,plain,( 0.21/0.52 ~$less(sK1,1) | ~$less(sF3,10) | ~spl9_10), 0.21/0.52 inference(resolution,[],[f112,f139])). 0.21/0.52 tff(f410,plain,( 0.21/0.52 ~spl9_17 | ~spl9_12), 0.21/0.52 inference(avatar_split_clause,[],[f372,f108,f408])). 0.21/0.52 tff(f408,plain,( 0.21/0.52 spl9_17 <=> $less(sK0,$uminus(sF6))), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_17])])). 0.21/0.52 tff(f372,plain,( 0.21/0.52 ~$less(sK0,$uminus(sF6)) | ~spl9_12), 0.21/0.52 inference(evaluation,[],[f366])). 0.21/0.52 tff(f366,plain,( 0.21/0.52 ~$less(sK0,$uminus(sF6)) | $less(10,0) | ~spl9_12), 0.21/0.52 inference(superposition,[],[f194,f87])). 0.21/0.52 tff(f87,plain,( 0.21/0.52 ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )), 0.21/0.52 inference(superposition,[],[f7,f13])). 0.21/0.52 tff(f13,plain,( 0.21/0.52 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )), 0.21/0.52 introduced(theory_axiom_156,[])). 0.21/0.52 tff(f404,plain,( 0.21/0.52 ~spl9_16 | ~spl9_11), 0.21/0.52 inference(avatar_split_clause,[],[f370,f84,f402])). 0.21/0.52 tff(f402,plain,( 0.21/0.52 spl9_16 <=> $less(sF6,$uminus(sK0))), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_16])])). 0.21/0.52 tff(f370,plain,( 0.21/0.52 ~$less(sF6,$uminus(sK0)) | ~spl9_11), 0.21/0.52 inference(evaluation,[],[f363])). 0.21/0.52 tff(f363,plain,( 0.21/0.52 $less(10,0) | ~$less(sF6,$uminus(sK0)) | ~spl9_11), 0.21/0.52 inference(superposition,[],[f140,f87])). 0.21/0.52 tff(f387,plain,( 0.21/0.52 ~spl9_15 | ~spl9_10), 0.21/0.52 inference(avatar_split_clause,[],[f369,f79,f385])). 0.21/0.52 tff(f385,plain,( 0.21/0.52 spl9_15 <=> $less(sK1,$uminus(sF3))), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_15])])). 0.21/0.52 tff(f369,plain,( 0.21/0.52 ~$less(sK1,$uminus(sF3)) | ~spl9_10), 0.21/0.52 inference(evaluation,[],[f365])). 0.21/0.52 tff(f365,plain,( 0.21/0.52 ~$less(sK1,$uminus(sF3)) | $less(10,0) | ~spl9_10), 0.21/0.52 inference(superposition,[],[f139,f87])). 0.21/0.52 tff(f304,plain,( 0.21/0.52 spl9_14 | ~spl9_11), 0.21/0.52 inference(avatar_split_clause,[],[f293,f84,f302])). 0.21/0.52 tff(f302,plain,( 0.21/0.52 spl9_14 <=> sF6 = $sum(10,$uminus(sK0))), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_14])])). 0.21/0.52 tff(f293,plain,( 0.21/0.52 sF6 = $sum(10,$uminus(sK0)) | ~spl9_11), 0.21/0.52 inference(evaluation,[],[f287])). 0.21/0.52 tff(f287,plain,( 0.21/0.52 $sum(10,$uminus(sK0)) = $sum(sF6,0) | ~spl9_11), 0.21/0.52 inference(superposition,[],[f157,f7])). 0.21/0.52 tff(f157,plain,( 0.21/0.52 ( ! [X0 : $int] : ($sum(10,X0) = $sum(sF6,$sum(sK0,X0))) ) | ~spl9_11), 0.21/0.52 inference(superposition,[],[f4,f85])). 0.21/0.52 tff(f4,plain,( 0.21/0.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 0.21/0.52 introduced(theory_axiom_144,[])). 0.21/0.52 tff(f300,plain,( 0.21/0.52 spl9_13 | ~spl9_10), 0.21/0.52 inference(avatar_split_clause,[],[f281,f79,f298])). 0.21/0.52 tff(f281,plain,( 0.21/0.52 sK1 = $sum(10,$uminus(sF3)) | ~spl9_10), 0.21/0.52 inference(evaluation,[],[f275])). 0.21/0.52 tff(f275,plain,( 0.21/0.52 $sum(10,$uminus(sF3)) = $sum(sK1,0) | ~spl9_10), 0.21/0.52 inference(superposition,[],[f156,f7])). 0.21/0.52 tff(f156,plain,( 0.21/0.52 ( ! [X0 : $int] : ($sum(sK1,$sum(sF3,X0)) = $sum(10,X0)) ) | ~spl9_10), 0.21/0.52 inference(superposition,[],[f4,f80])). 0.21/0.52 tff(f110,plain,( 0.21/0.52 spl9_12 | ~spl9_11), 0.21/0.52 inference(avatar_split_clause,[],[f89,f84,f108])). 0.21/0.52 tff(f89,plain,( 0.21/0.52 10 = $sum(sK0,sF6) | ~spl9_11), 0.21/0.52 inference(superposition,[],[f3,f85])). 0.21/0.52 tff(f86,plain,( 0.21/0.52 spl9_11 | ~spl9_8 | ~spl9_9), 0.21/0.52 inference(avatar_split_clause,[],[f82,f74,f67,f84])). 0.21/0.52 tff(f67,plain,( 0.21/0.52 spl9_8 <=> $sum(sF6,sK0) = sF7), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_8])])). 0.21/0.52 tff(f74,plain,( 0.21/0.52 spl9_9 <=> 10 = sF7), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_9])])). 0.21/0.52 tff(f82,plain,( 0.21/0.52 10 = $sum(sF6,sK0) | (~spl9_8 | ~spl9_9)), 0.21/0.52 inference(forward_demodulation,[],[f68,f75])). 0.21/0.52 tff(f75,plain,( 0.21/0.52 10 = sF7 | ~spl9_9), 0.21/0.52 inference(avatar_component_clause,[],[f74])). 0.21/0.52 tff(f68,plain,( 0.21/0.52 $sum(sF6,sK0) = sF7 | ~spl9_8), 0.21/0.52 inference(avatar_component_clause,[],[f67])). 0.21/0.52 tff(f81,plain,( 0.21/0.52 spl9_10 | ~spl9_5 | ~spl9_6), 0.21/0.52 inference(avatar_split_clause,[],[f77,f59,f52,f79])). 0.21/0.52 tff(f52,plain,( 0.21/0.52 spl9_5 <=> $sum(sK1,sF3) = sF4), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_5])])). 0.21/0.52 tff(f59,plain,( 0.21/0.52 spl9_6 <=> 10 = sF4), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_6])])). 0.21/0.52 tff(f77,plain,( 0.21/0.52 10 = $sum(sK1,sF3) | (~spl9_5 | ~spl9_6)), 0.21/0.52 inference(forward_demodulation,[],[f53,f60])). 0.21/0.52 tff(f60,plain,( 0.21/0.52 10 = sF4 | ~spl9_6), 0.21/0.52 inference(avatar_component_clause,[],[f59])). 0.21/0.52 tff(f53,plain,( 0.21/0.52 $sum(sK1,sF3) = sF4 | ~spl9_5), 0.21/0.52 inference(avatar_component_clause,[],[f52])). 0.21/0.52 tff(f76,plain,( 0.21/0.52 spl9_9 | ~spl9_1 | ~spl9_3), 0.21/0.52 inference(avatar_split_clause,[],[f72,f44,f36,f74])). 0.21/0.52 tff(f36,plain,( 0.21/0.52 spl9_1 <=> 0 = sK2), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_1])])). 0.21/0.52 tff(f44,plain,( 0.21/0.52 spl9_3 <=> 10 = sF8), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_3])])). 0.21/0.52 tff(f72,plain,( 0.21/0.52 10 = sF7 | (~spl9_1 | ~spl9_3)), 0.21/0.52 inference(evaluation,[],[f71])). 0.21/0.52 tff(f71,plain,( 0.21/0.52 10 = $sum(sF7,0) | (~spl9_1 | ~spl9_3)), 0.21/0.52 inference(forward_demodulation,[],[f70,f37])). 0.21/0.52 tff(f37,plain,( 0.21/0.52 0 = sK2 | ~spl9_1), 0.21/0.52 inference(avatar_component_clause,[],[f36])). 0.21/0.52 tff(f70,plain,( 0.21/0.52 10 = $sum(sF7,sK2) | ~spl9_3), 0.21/0.52 inference(forward_demodulation,[],[f33,f45])). 0.21/0.52 tff(f45,plain,( 0.21/0.52 10 = sF8 | ~spl9_3), 0.21/0.52 inference(avatar_component_clause,[],[f44])). 0.21/0.52 tff(f33,plain,( 0.21/0.52 $sum(sF7,sK2) = sF8), 0.21/0.52 introduced(function_definition,[new_symbols(definition,[sF8])])). 0.21/0.52 tff(f69,plain,( 0.21/0.52 spl9_8), 0.21/0.52 inference(avatar_split_clause,[],[f32,f67])). 0.21/0.52 tff(f32,plain,( 0.21/0.52 $sum(sF6,sK0) = sF7), 0.21/0.52 introduced(function_definition,[new_symbols(definition,[sF7])])). 0.21/0.52 tff(f65,plain,( 0.21/0.52 spl9_7), 0.21/0.52 inference(avatar_split_clause,[],[f31,f63])). 0.21/0.52 tff(f31,plain,( 0.21/0.52 $product(2,sK1) = sF6), 0.21/0.52 introduced(function_definition,[new_symbols(definition,[sF6])])). 0.21/0.52 tff(f61,plain,( 0.21/0.52 spl9_6 | ~spl9_1 | ~spl9_2), 0.21/0.52 inference(avatar_split_clause,[],[f57,f40,f36,f59])). 0.21/0.52 tff(f40,plain,( 0.21/0.52 spl9_2 <=> 10 = sF5), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_2])])). 0.21/0.52 tff(f57,plain,( 0.21/0.52 10 = sF4 | (~spl9_1 | ~spl9_2)), 0.21/0.52 inference(evaluation,[],[f56])). 0.21/0.52 tff(f56,plain,( 0.21/0.52 10 = $sum(sF4,0) | (~spl9_1 | ~spl9_2)), 0.21/0.52 inference(forward_demodulation,[],[f55,f37])). 0.21/0.52 tff(f55,plain,( 0.21/0.52 10 = $sum(sF4,sK2) | ~spl9_2), 0.21/0.52 inference(forward_demodulation,[],[f29,f41])). 0.21/0.52 tff(f41,plain,( 0.21/0.52 10 = sF5 | ~spl9_2), 0.21/0.52 inference(avatar_component_clause,[],[f40])). 0.21/0.52 tff(f29,plain,( 0.21/0.52 $sum(sF4,sK2) = sF5), 0.21/0.52 introduced(function_definition,[new_symbols(definition,[sF5])])). 0.21/0.52 tff(f54,plain,( 0.21/0.52 spl9_5), 0.21/0.52 inference(avatar_split_clause,[],[f28,f52])). 0.21/0.52 tff(f28,plain,( 0.21/0.52 $sum(sK1,sF3) = sF4), 0.21/0.52 introduced(function_definition,[new_symbols(definition,[sF4])])). 0.21/0.52 tff(f50,plain,( 0.21/0.52 spl9_4), 0.21/0.52 inference(avatar_split_clause,[],[f27,f48])). 0.21/0.52 tff(f48,plain,( 0.21/0.52 spl9_4 <=> $product(2,sK0) = sF3), 0.21/0.52 introduced(avatar_definition,[new_symbols(naming,[spl9_4])])). 0.21/0.52 tff(f27,plain,( 0.21/0.52 $product(2,sK0) = sF3), 0.21/0.52 introduced(function_definition,[new_symbols(definition,[sF3])])). 0.21/0.52 tff(f46,plain,( 0.21/0.52 spl9_3), 0.21/0.52 inference(avatar_split_clause,[],[f34,f44])). 0.21/0.52 tff(f34,plain,( 0.21/0.52 10 = sF8), 0.21/0.52 inference(definition_folding,[],[f24,f33,f32,f31])). 0.21/0.52 tff(f24,plain,( 0.21/0.52 10 = $sum($sum($product(2,sK1),sK0),sK2)), 0.21/0.52 inference(cnf_transformation,[],[f23])). 0.21/0.52 tff(f23,plain,( 0.21/0.52 ? [X2 : $int,X0 : $int,X1 : $int] : (10 = $sum($sum(X0,$product(2,X2)),X1) & 0 = X1 & 10 = $sum($sum($product(2,X0),X2),X1))), 0.21/0.52 inference(flattening,[],[f22])). 0.21/0.52 tff(f22,plain,( 0.21/0.52 ? [X0 : $int,X2 : $int,X1 : $int] : (0 = X1 & (10 = $sum($sum(X0,$product(2,X2)),X1) & 10 = $sum($sum($product(2,X0),X2),X1)))), 0.21/0.52 inference(ennf_transformation,[],[f21])). 0.21/0.52 tff(f21,plain,( 0.21/0.52 ~! [X0 : $int,X2 : $int,X1 : $int] : ((10 = $sum($sum(X0,$product(2,X2)),X1) & 10 = $sum($sum($product(2,X0),X2),X1)) => 0 != X1)), 0.21/0.52 inference(rectify,[],[f2])). 0.21/0.52 tff(f2,negated_conjecture,( 0.21/0.52 ~! [X0 : $int,X2 : $int,X1 : $int] : ((10 = $sum($sum($product(2,X0),X1),X2) & $sum($sum(X0,$product(2,X1)),X2) = 10) => 0 != X2)), 0.21/0.52 inference(negated_conjecture,[],[f1])). 0.21/0.52 tff(f1,conjecture,( 0.21/0.52 ! [X0 : $int,X2 : $int,X1 : $int] : ((10 = $sum($sum($product(2,X0),X1),X2) & $sum($sum(X0,$product(2,X1)),X2) = 10) => 0 != X2)), 0.21/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.52 tff(f42,plain,( 0.21/0.52 spl9_2), 0.21/0.52 inference(avatar_split_clause,[],[f30,f40])). 0.21/0.52 tff(f30,plain,( 0.21/0.52 10 = sF5), 0.21/0.52 inference(definition_folding,[],[f26,f29,f28,f27])). 0.21/0.52 tff(f26,plain,( 0.21/0.52 10 = $sum($sum(sK1,$product(2,sK0)),sK2)), 0.21/0.52 inference(cnf_transformation,[],[f23])). 0.21/0.52 tff(f38,plain,( 0.21/0.52 spl9_1), 0.21/0.52 inference(avatar_split_clause,[],[f25,f36])). 0.21/0.52 tff(f25,plain,( 0.21/0.52 0 = sK2), 0.21/0.52 inference(cnf_transformation,[],[f23])). 0.21/0.52 % SZS output end Proof for theBenchmark 0.21/0.52 % (20164)------------------------------ 0.21/0.52 % (20164)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.52 % (20164)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.52 % (20164)Termination reason: Refutation 0.21/0.52 0.21/0.52 % (20164)Memory used [KB]: 1060 0.21/0.52 % (20164)Time elapsed: 0.090 s 0.21/0.52 % (20164)Instructions burned: 165 (million) 0.21/0.52 % (20164)------------------------------ 0.21/0.52 % (20164)------------------------------ 0.21/0.52 % (20163)Success in time 0.14 s 0.21/0.52 EOF