0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.02 % Command : run_vampire %s %d THM 0.08/0.33 % Computer : n017.cluster.edu 0.08/0.33 % Model : x86_64 x86_64 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.33 % Memory : 8046.5625MB 0.08/0.33 % OS : Linux 6.8.0-71-generic 0.08/0.33 % CPULimit : 1440 0.08/0.33 % WCLimit : 180 0.08/0.33 % DateTime : Mon Jul 27 09:44:22 UTC 2026 0.08/0.34 % CPUTime : 0.14/0.37 This is a THF_ problem 0.14/0.37 Running higher-order theorem proving 0.14/0.39 Running /export/starexec/sandbox2/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.vKaw3kEtjK/E---3.1_1209496.p -m 16384 -t 180 0.14/0.42 % (1209619)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_1209496 for (1799ds/183Mi) 0.14/0.43 % (1209621)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_1209496 for (1799ds/27Mi) 0.14/0.43 % (1209620)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_1209496 for (1799ds/4Mi) 0.14/0.43 % (1209624)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_1209496 for (1799ds/275Mi) 0.14/0.43 % (1209623)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_1209496 for (1799ds/2Mi) 0.14/0.43 % (1209622)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_1209496 for (1799ds/2Mi) 0.14/0.43 % (1209625)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_1209496 for (1799ds/18Mi) 0.14/0.43 % (1209623)Instruction limit reached! 0.14/0.43 % (1209623)------------------------------ 0.14/0.43 % (1209623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.43 % (1209623)Termination reason: Unknown 0.14/0.43 % (1209623)Termination phase: Saturation 0.14/0.43 0.14/0.43 % (1209623)Memory used [KB]: 5500 0.14/0.43 % (1209623)Time elapsed: 0.003 s 0.14/0.43 % (1209623)Instructions burned: 2 (million) 0.14/0.43 % (1209623)------------------------------ 0.14/0.43 % (1209623)------------------------------ 0.14/0.43 % (1209622)Instruction limit reached! 0.14/0.43 % (1209622)------------------------------ 0.14/0.43 % (1209622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.43 % (1209622)Termination reason: Unknown 0.14/0.43 % (1209622)Termination phase: Saturation 0.14/0.43 0.14/0.43 % (1209622)Memory used [KB]: 5500 0.14/0.43 % (1209622)Time elapsed: 0.004 s 0.14/0.43 % (1209622)Instructions burned: 3 (million) 0.14/0.43 % (1209622)------------------------------ 0.14/0.43 % (1209622)------------------------------ 0.14/0.43 % (1209620)Instruction limit reached! 0.14/0.43 % (1209620)------------------------------ 0.14/0.43 % (1209620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.43 % (1209620)Termination reason: Unknown 0.14/0.43 % (1209620)Termination phase: Saturation 0.14/0.43 0.14/0.43 % (1209620)Memory used [KB]: 5500 0.14/0.43 % (1209620)Time elapsed: 0.005 s 0.14/0.43 % (1209620)Instructions burned: 4 (million) 0.14/0.43 % (1209620)------------------------------ 0.14/0.43 % (1209620)------------------------------ 0.14/0.43 % (1209624)First to succeed. 0.14/0.43 % (1209624)Refutation found. Thanks to Tanya! 0.14/0.43 % SZS status Theorem for E---3.1_1209496 0.14/0.43 % SZS output start Proof for E---3.1_1209496 0.14/0.43 thf(type_def_5, type, a: $tType). 0.14/0.43 thf(func_def_0, type, a: $tType). 0.14/0.43 thf(func_def_1, type, cE: a). 0.14/0.43 thf(func_def_2, type, cP: a > a > a). 0.14/0.43 thf(func_def_3, type, cJ: a > a). 0.14/0.43 thf(func_def_7, type, sK0: a). 0.14/0.43 thf(f55,plain,( 0.14/0.43 $false), 0.14/0.43 inference(trivial_inequality_removal,[status(thm)],[f54])). 0.14/0.43 thf(f54,plain,( 0.14/0.43 (sK0 != sK0)), 0.14/0.43 inference(superposition,[status(thm)],[f12,f37])). 0.14/0.43 thf(f37,plain,( 0.14/0.43 ( ! [X0 : a] : (((cP @ X0 @ cE) = X0)) )), 0.14/0.43 inference(superposition,[status(thm)],[f21,f23])). 0.14/0.43 thf(f23,plain,( 0.14/0.43 ( ! [X0 : a,X1 : a] : (((cP @ (cJ @ (cJ @ X0)) @ X1) = (cP @ X0 @ X1))) )), 0.14/0.43 inference(superposition,[status(thm)],[f19,f19])). 0.14/0.43 thf(f19,plain,( 0.14/0.43 ( ! [X0 : a,X1 : a] : (((cP @ (cJ @ X0) @ (cP @ X0 @ X1)) = X1)) )), 0.14/0.43 inference(forward_demodulation,[status(thm)],[f15,f13])). 0.14/0.43 thf(f13,plain,( 0.14/0.43 ( ! [X0 : a] : (((cP @ cE @ X0) = X0)) )), 0.14/0.43 inference(cnf_transformation,[status(thm)],[f9])). 0.14/0.43 thf(f9,plain,( 0.14/0.43 ! [X0 : a] : ((cP @ cE @ X0) = X0) & ((cP @ sK0 @ cE) != sK0) & ! [X2 : a,X3 : a,X4 : a] : ((cP @ X4 @ (cP @ X3 @ X2)) = (cP @ (cP @ X4 @ X3) @ X2)) & ! [X5 : a] : (cE = (cP @ (cJ @ X5) @ X5))), 0.14/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])). 0.14/0.43 thf(f8,plain,( 0.14/0.43 ? [X1 : a] : ((cP @ X1 @ cE) != X1) => ((cP @ sK0 @ cE) != sK0)), 0.14/0.43 introduced(definition,[],[choice_axiom])). 0.14/0.43 thf(f7,plain,( 0.14/0.43 ! [X0 : a] : ((cP @ cE @ X0) = X0) & ? [X1 : a] : ((cP @ X1 @ cE) != X1) & ! [X2 : a,X3 : a,X4 : a] : ((cP @ X4 @ (cP @ X3 @ X2)) = (cP @ (cP @ X4 @ X3) @ X2)) & ! [X5 : a] : (cE = (cP @ (cJ @ X5) @ X5))), 0.14/0.43 inference(rectify,[status(thm)],[f6])). 0.14/0.43 thf(f6,plain,( 0.14/0.43 ! [X4 : a] : ((cP @ cE @ X4) = X4) & ? [X5 : a] : ((cP @ X5 @ cE) != X5) & ! [X1 : a,X0 : a,X2 : a] : ((cP @ X2 @ (cP @ X0 @ X1)) = (cP @ (cP @ X2 @ X0) @ X1)) & ! [X3 : a] : (cE = (cP @ (cJ @ X3) @ X3))), 0.14/0.43 inference(flattening,[status(thm)],[f5])). 0.14/0.43 thf(f5,plain,( 0.14/0.43 ? [X5 : a] : ((cP @ X5 @ cE) != X5) & (! [X4 : a] : ((cP @ cE @ X4) = X4) & ! [X1 : a,X0 : a,X2 : a] : ((cP @ X2 @ (cP @ X0 @ X1)) = (cP @ (cP @ X2 @ X0) @ X1)) & ! [X3 : a] : (cE = (cP @ (cJ @ X3) @ X3)))), 0.14/0.43 inference(ennf_transformation,[status(thm)],[f4])). 0.14/0.43 thf(f4,plain,( 0.14/0.43 ~((! [X4 : a] : ((cP @ cE @ X4) = X4) & ! [X1 : a,X0 : a,X2 : a] : ((cP @ X2 @ (cP @ X0 @ X1)) = (cP @ (cP @ X2 @ X0) @ X1)) & ! [X3 : a] : (cE = (cP @ (cJ @ X3) @ X3))) => ! [X5 : a] : ((cP @ X5 @ cE) = X5))), 0.14/0.43 inference(rectify,[status(thm)],[f2])). 0.14/0.43 thf(f2,negated_conjecture,( 0.14/0.43 ~((! [X0 : a,X2 : a,X1 : a] : ((cP @ (cP @ X1 @ X0) @ X2) = (cP @ X1 @ (cP @ X0 @ X2))) & ! [X0 : a] : ((cP @ (cJ @ X0) @ X0) = cE) & ! [X1 : a] : ((cP @ cE @ X1) = X1)) => ! [X3 : a] : ((cP @ X3 @ cE) = X3))), 0.14/0.43 inference(negated_conjecture,[status(cth)],[f1])). 0.14/0.43 thf(f1,conjecture,( 0.14/0.43 (! [X0 : a,X2 : a,X1 : a] : ((cP @ (cP @ X1 @ X0) @ X2) = (cP @ X1 @ (cP @ X0 @ X2))) & ! [X0 : a] : ((cP @ (cJ @ X0) @ X0) = cE) & ! [X1 : a] : ((cP @ cE @ X1) = X1)) => ! [X3 : a] : ((cP @ X3 @ cE) = X3)), 0.14/0.43 file('/export/starexec/sandbox2/tmp/tmp.vKaw3kEtjK/E---3.1_1209496.p',cTHM17_pme)). 0.14/0.44 thf(f15,plain,( 0.14/0.44 ( ! [X0 : a,X1 : a] : (((cP @ cE @ X1) = (cP @ (cJ @ X0) @ (cP @ X0 @ X1)))) )), 0.14/0.44 inference(superposition,[status(thm)],[f11,f10])). 0.14/0.44 thf(f10,plain,( 0.14/0.44 ( ! [X5 : a] : ((cE = (cP @ (cJ @ X5) @ X5))) )), 0.14/0.44 inference(cnf_transformation,[status(thm)],[f9])). 0.14/0.44 thf(f11,plain,( 0.14/0.44 ( ! [X2 : a,X3 : a,X4 : a] : (((cP @ X4 @ (cP @ X3 @ X2)) = (cP @ (cP @ X4 @ X3) @ X2))) )), 0.14/0.44 inference(cnf_transformation,[status(thm)],[f9])). 0.14/0.44 thf(f21,plain,( 0.14/0.44 ( ! [X0 : a] : (((cP @ (cJ @ (cJ @ X0)) @ cE) = X0)) )), 0.14/0.44 inference(superposition,[status(thm)],[f19,f10])). 0.14/0.44 thf(f12,plain,( 0.14/0.44 ((cP @ sK0 @ cE) != sK0)), 0.14/0.44 inference(cnf_transformation,[status(thm)],[f9])). 0.14/0.44 % SZS output end Proof for E---3.1_1209496 0.14/0.44 % (1209624)------------------------------ 0.14/0.44 % (1209624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.44 % (1209624)Termination reason: Refutation 0.14/0.44 0.14/0.44 % (1209624)Memory used [KB]: 5500 0.14/0.44 % (1209624)Time elapsed: 0.009 s 0.14/0.44 % (1209624)Instructions burned: 8 (million) 0.14/0.44 % (1209624)------------------------------ 0.14/0.44 % (1209624)------------------------------ 0.14/0.44 % (1209611)Success in time 0.02 s 0.14/0.44 EOF