0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_vampire %s %d THM 0.11/0.32 % Computer : n028.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Wed Jul 30 05:40:04 EDT 2025 0.11/0.33 % CPUTime : 0.18/0.35 This is a TFF_ problem 0.18/0.35 Running first-order theorem proving 0.18/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.18/0.41 % (10705)Running in auto input_syntax mode. Trying TPTP 0.18/0.41 % (10712)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 (1199ds/32Mi) 0.18/0.41 % (10705)Running in auto input_syntax mode. Trying TPTP 0.18/0.41 % (10711)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/15Mi) 0.18/0.41 % (10705)Running in auto input_syntax mode. Trying TPTP 0.18/0.41 % (10708)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 (1199ds/8Mi) 0.18/0.41 % (10705)Running in auto input_syntax mode. Trying TPTP 0.18/0.41 % (10709)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 (1199ds/2Mi) 0.18/0.41 % (10705)Running in auto input_syntax mode. Trying TPTP 0.18/0.41 % (10710)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 (1199ds/37Mi) 0.18/0.41 % (10705)Running in auto input_syntax mode. Trying TPTP 0.18/0.41 % (10706)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 (1199ds/59848Mi) 0.18/0.41 % (10705)Running in auto input_syntax mode. Trying TPTP 0.18/0.41 % (10707)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 (1199ds/34Mi) 0.18/0.41 % (10709)Instruction limit reached! 0.18/0.41 % (10709)------------------------------ 0.18/0.41 % (10709)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.18/0.41 % (10709)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.18/0.41 % (10709)Termination reason: Time limit 0.18/0.41 % (10709)Termination phase: Saturation 0.18/0.41 0.18/0.41 % (10709)Memory used [KB]: 868 0.18/0.41 % (10709)Time elapsed: 0.004 s 0.18/0.41 % (10709)Instructions burned: 3 (million) 0.21/0.42 % (10708)Instruction limit reached! 0.21/0.42 % (10708)------------------------------ 0.21/0.42 % (10708)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.42 % (10708)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.42 % (10708)Termination reason: Time limit 0.21/0.42 % (10708)Termination phase: Saturation 0.21/0.42 0.21/0.42 % (10708)Memory used [KB]: 879 0.21/0.42 % (10708)Time elapsed: 0.009 s 0.21/0.42 % (10708)Instructions burned: 9 (million) 0.21/0.42 % (10711)Instruction limit reached! 0.21/0.42 % (10711)------------------------------ 0.21/0.42 % (10711)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.42 % (10711)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.42 % (10711)Termination reason: Time limit 0.21/0.42 % (10711)Termination phase: Saturation 0.21/0.42 0.21/0.42 % (10711)Memory used [KB]: 893 0.21/0.42 % (10711)Time elapsed: 0.013 s 0.21/0.42 % (10711)Instructions burned: 16 (million) 0.21/0.43 % (10712)Instruction limit reached! 0.21/0.43 % (10712)------------------------------ 0.21/0.43 % (10712)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.43 % (10712)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.43 % (10712)Termination reason: Time limit 0.21/0.43 % (10712)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (10712)Memory used [KB]: 967 0.21/0.43 % (10712)Time elapsed: 0.020 s 0.21/0.43 % (10712)Instructions burned: 32 (million) 0.21/0.43 % (10707)Instruction limit reached! 0.21/0.43 % (10707)------------------------------ 0.21/0.43 % (10707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.43 % (10707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.43 % (10707)Termination reason: Time limit 0.21/0.43 % (10707)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (10707)Memory used [KB]: 900 0.21/0.43 % (10707)Time elapsed: 0.022 s 0.21/0.43 % (10707)Instructions burned: 35 (million) 0.21/0.44 % (10710)Instruction limit reached! 0.21/0.44 % (10710)------------------------------ 0.21/0.44 % (10710)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.44 % (10710)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.44 % (10710)Termination reason: Time limit 0.21/0.44 % (10710)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (10710)Memory used [KB]: 1105 0.21/0.44 % (10710)Time elapsed: 0.026 s 0.21/0.44 % (10710)Instructions burned: 37 (million) 0.21/0.47 % (10705)Running in auto input_syntax mode. Trying TPTP 0.21/0.47 % (10713)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 (1199ds/36Mi) 0.21/0.48 % (10705)Running in auto input_syntax mode. Trying TPTP 0.21/0.48 % (10714)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 (1199ds/26Mi) 0.21/0.48 % (10705)Running in auto input_syntax mode. Trying TPTP 0.21/0.48 % (10716)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/35Mi) 0.21/0.48 % (10705)Running in auto input_syntax mode. Trying TPTP 0.21/0.48 % (10715)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 (1199ds/2Mi) 0.21/0.48 % (10705)Running in auto input_syntax mode. Trying TPTP 0.21/0.48 % (10718)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 (1199ds/2Mi) 0.21/0.48 % (10718)Instruction limit reached! 0.21/0.48 % (10718)------------------------------ 0.21/0.48 % (10718)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.48 % (10718)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.48 % (10718)Termination reason: Time limit 0.21/0.48 % (10718)Termination phase: Saturation 0.21/0.48 % (10715)Instruction limit reached! 0.21/0.48 % (10715)------------------------------ 0.21/0.48 % (10715)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.48 0.21/0.48 % (10718)Memory used [KB]: 768 0.21/0.48 % (10718)Time elapsed: 0.002 s 0.21/0.48 % (10718)Instructions burned: 2 (million) 0.21/0.48 % (10715)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.48 % (10715)Termination reason: Time limit 0.21/0.48 % (10715)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (10715)Memory used [KB]: 787 0.21/0.48 % (10715)Time elapsed: 0.003 s 0.21/0.48 % (10715)Instructions burned: 3 (million) 0.21/0.49 % (10714)First to succeed. 0.21/0.49 % (10705)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (10717)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/4Mi) 0.21/0.49 % (10714)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10705" 0.21/0.49 % (10705)Running in auto input_syntax mode. Trying TPTP 0.21/0.49 % (10714)Refutation found. Thanks to Tanya! 0.21/0.49 % SZS status Theorem for theBenchmark 0.21/0.49 % SZS output start Proof for theBenchmark 0.21/0.49 tff(func_def_0, type, g: ($int * $int) > $int). 0.21/0.49 tff(pred_def_2, type, sQ0_eqProxy: ($int * $int) > $o). 0.21/0.49 tff(f769,plain,( 0.21/0.49 $false), 0.21/0.49 inference(subsumption_resolution,[],[f768,f150])). 0.21/0.49 tff(f150,plain,( 0.21/0.49 ~sQ0_eqProxy(g(3,5),g(3,4))), 0.21/0.49 inference(resolution,[],[f147,f33])). 0.21/0.49 tff(f33,plain,( 0.21/0.49 ( ! [X0 : $int,X1 : $int] : (~sQ0_eqProxy(X0,X1) | sQ0_eqProxy(X1,X0)) )), 0.21/0.49 inference(equality_proxy_axiom,[],[f21])). 0.21/0.49 tff(f21,plain,( 0.21/0.49 ! [X0 : $int,X1 : $int] : (sQ0_eqProxy(X0,X1) <=> X0 = X1)), 0.21/0.49 introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])])). 0.21/0.49 tff(f147,plain,( 0.21/0.49 ~sQ0_eqProxy(g(3,4),g(3,5))), 0.21/0.49 inference(evaluation,[],[f139])). 0.21/0.49 tff(f139,plain,( 0.21/0.49 ~sQ0_eqProxy(g(3,$sum(2,2)),g(3,5))), 0.21/0.49 inference(resolution,[],[f38,f23])). 0.21/0.49 tff(f23,plain,( 0.21/0.49 ( ! [X0 : $int,X1 : $int] : (sQ0_eqProxy(g(X1,X0),g(X1,$sum(X0,2)))) )), 0.21/0.49 inference(equality_proxy_replacement,[],[f19,f21])). 0.21/0.49 tff(f19,plain,( 0.21/0.49 ( ! [X0 : $int,X1 : $int] : (g(X1,X0) = g(X1,$sum(X0,2))) )), 0.21/0.49 inference(cnf_transformation,[],[f17])). 0.21/0.49 tff(f17,plain,( 0.21/0.49 g(3,2) != g(3,5) & ! [X0 : $int,X1 : $int] : g(X1,X0) = g(X1,$sum(X0,2)) & g(3,3) = g(3,4)), 0.21/0.49 inference(flattening,[],[f16])). 0.21/0.49 tff(f16,plain,( 0.21/0.49 (g(3,2) != g(3,5) & g(3,3) = g(3,4)) & ! [X0 : $int,X1 : $int] : g(X1,X0) = g(X1,$sum(X0,2))), 0.21/0.49 inference(ennf_transformation,[],[f15])). 0.21/0.49 tff(f15,plain,( 0.21/0.49 ~(! [X0 : $int,X1 : $int] : g(X1,X0) = g(X1,$sum(X0,2)) => (g(3,3) = g(3,4) => g(3,2) = g(3,5)))), 0.21/0.49 inference(rectify,[],[f2])). 0.21/0.49 tff(f2,negated_conjecture,( 0.21/0.49 ~(! [X1 : $int,X0 : $int] : g(X0,X1) = g(X0,$sum(X1,2)) => (g(3,3) = g(3,4) => g(3,2) = g(3,5)))), 0.21/0.49 inference(negated_conjecture,[],[f1])). 0.21/0.49 tff(f1,conjecture,( 0.21/0.49 ! [X1 : $int,X0 : $int] : g(X0,X1) = g(X0,$sum(X1,2)) => (g(3,3) = g(3,4) => g(3,2) = g(3,5))), 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.21/0.49 tff(f38,plain,( 0.21/0.49 ( ! [X0 : $int] : (~sQ0_eqProxy(g(3,2),X0) | ~sQ0_eqProxy(X0,g(3,5))) )), 0.21/0.49 inference(resolution,[],[f22,f34])). 0.21/0.49 tff(f34,plain,( 0.21/0.49 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sQ0_eqProxy(X0,X2) | ~sQ0_eqProxy(X0,X1) | ~sQ0_eqProxy(X1,X2)) )), 0.21/0.49 inference(equality_proxy_axiom,[],[f21])). 0.21/0.49 tff(f22,plain,( 0.21/0.49 ~sQ0_eqProxy(g(3,2),g(3,5))), 0.21/0.49 inference(equality_proxy_replacement,[],[f20,f21])). 0.21/0.49 tff(f20,plain,( 0.21/0.49 g(3,2) != g(3,5)), 0.21/0.49 inference(cnf_transformation,[],[f17])). 0.21/0.49 tff(f768,plain,( 0.21/0.49 sQ0_eqProxy(g(3,5),g(3,4))), 0.21/0.49 inference(evaluation,[],[f767])). 0.21/0.49 tff(f767,plain,( 0.21/0.49 sQ0_eqProxy(g(3,$sum(3,2)),g(3,4))), 0.21/0.49 inference(resolution,[],[f49,f64])). 0.21/0.49 tff(f64,plain,( 0.21/0.49 ( ! [X0 : $int,X1 : $int] : (sQ0_eqProxy(g(X0,$sum(X1,2)),g(X0,X1))) )), 0.21/0.49 inference(resolution,[],[f23,f33])). 0.21/0.49 tff(f49,plain,( 0.21/0.49 ( ! [X0 : $int] : (~sQ0_eqProxy(X0,g(3,3)) | sQ0_eqProxy(X0,g(3,4))) )), 0.21/0.49 inference(resolution,[],[f24,f34])). 0.21/0.49 tff(f24,plain,( 0.21/0.49 sQ0_eqProxy(g(3,3),g(3,4))), 0.21/0.49 inference(equality_proxy_replacement,[],[f18,f21])). 0.21/0.49 tff(f18,plain,( 0.21/0.49 g(3,3) = g(3,4)), 0.21/0.49 inference(cnf_transformation,[],[f17])). 0.21/0.49 % SZS output end Proof for theBenchmark 0.21/0.49 % (10714)------------------------------ 0.21/0.49 % (10714)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.49 % (10714)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.49 % (10714)Termination reason: Refutation 0.21/0.49 0.21/0.49 % (10714)Memory used [KB]: 932 0.21/0.49 % (10714)Time elapsed: 0.012 s 0.21/0.49 % (10714)Instructions burned: 26 (million) 0.21/0.49 % (10714)------------------------------ 0.21/0.49 % (10714)------------------------------ 0.21/0.49 % (10705)Success in time 0.126 s 0.21/0.49 EOF