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 0.12/0.33 % Computer : n029.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 05:54:54 EDT 2024 0.12/0.34 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.MVNq6HoE8o/E---3.1_16784.p -m 16384 -t 180 0.12/0.38 % (16954)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16784 for (1799ds/2Mi) 0.12/0.38 % (16956)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_16784 for (1799ds/275Mi) 0.12/0.38 % (16955)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_16784 for (1799ds/2Mi) 0.12/0.38 % (16951)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16784 for (1799ds/183Mi) 0.12/0.38 % (16952)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_16784 for (1799ds/4Mi) 0.12/0.38 % (16953)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_16784 for (1799ds/27Mi) 0.12/0.38 % (16957)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16784 for (1799ds/18Mi) 0.12/0.38 % (16954)Instruction limit reached! 0.12/0.38 % (16954)------------------------------ 0.12/0.38 % (16954)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.38 % (16955)Instruction limit reached! 0.12/0.38 % (16955)------------------------------ 0.12/0.38 % (16955)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.38 % (16954)Termination reason: Unknown 0.12/0.38 % (16954)Termination phase: Saturation 0.12/0.38 0.12/0.38 % (16954)Memory used [KB]: 895 0.12/0.38 % (16954)Time elapsed: 0.003 s 0.12/0.38 % (16954)Instructions burned: 2 (million) 0.12/0.38 % (16954)------------------------------ 0.12/0.38 % (16954)------------------------------ 0.12/0.38 % (16955)Termination reason: Unknown 0.12/0.38 % (16955)Termination phase: Property scanning 0.12/0.38 0.12/0.38 % (16955)Memory used [KB]: 895 0.12/0.38 % (16955)Time elapsed: 0.004 s 0.12/0.38 % (16955)Instructions burned: 2 (million) 0.12/0.38 % (16955)------------------------------ 0.12/0.38 % (16955)------------------------------ 0.12/0.39 % (16952)Instruction limit reached! 0.12/0.39 % (16952)------------------------------ 0.12/0.39 % (16952)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.39 % (16952)Termination reason: Unknown 0.12/0.39 % (16952)Termination phase: Saturation 0.12/0.39 0.12/0.39 % (16952)Memory used [KB]: 5500 0.12/0.39 % (16952)Time elapsed: 0.005 s 0.12/0.39 % (16952)Instructions burned: 4 (million) 0.12/0.39 % (16952)------------------------------ 0.12/0.39 % (16952)------------------------------ 0.12/0.39 % (16956)First to succeed. 0.12/0.39 % (16956)Refutation found. Thanks to Tanya! 0.12/0.39 % SZS status Theorem for E---3.1_16784 0.12/0.39 % SZS output start Proof for E---3.1_16784 0.12/0.39 thf(type_def_5, type, frac: $tType). 0.12/0.39 thf(func_def_0, type, frac: $tType). 0.12/0.39 thf(func_def_1, type, x: frac). 0.12/0.39 thf(func_def_2, type, y: frac). 0.12/0.39 thf(func_def_3, type, z: frac). 0.12/0.39 thf(func_def_4, type, u: frac). 0.12/0.39 thf(func_def_5, type, eq: frac > frac > $o). 0.12/0.39 thf(func_def_6, type, moref: frac > frac > $o). 0.12/0.39 thf(func_def_7, type, pf: frac > frac > frac). 0.12/0.39 thf(f64,plain,( 0.12/0.39 $false), 0.12/0.39 inference(subsumption_resolution,[],[f63,f38])). 0.12/0.39 thf(f38,plain,( 0.12/0.39 ( ! [X0 : frac] : (((eq @ X0 @ X0) = $true)) )), 0.12/0.39 inference(cnf_transformation,[],[f21])). 0.12/0.39 thf(f21,plain,( 0.12/0.39 ! [X0 : frac] : ((eq @ X0 @ X0) = $true)), 0.12/0.39 inference(fool_elimination,[],[f20])). 0.12/0.39 thf(f20,plain,( 0.12/0.39 ! [X0 : frac] : (eq @ X0 @ X0)), 0.12/0.39 inference(rectify,[],[f5])). 0.12/0.39 thf(f5,axiom,( 0.12/0.39 ! [X0 : frac] : (eq @ X0 @ X0)), 0.12/0.39 file('/export/starexec/sandbox2/tmp/tmp.MVNq6HoE8o/E---3.1_16784.p',satz37)). 0.12/0.39 thf(f63,plain,( 0.12/0.39 ((eq @ u @ u) != $true)), 0.12/0.39 inference(trivial_inequality_removal,[],[f60])). 0.12/0.39 thf(f60,plain,( 0.12/0.39 ($true != $true) | ((eq @ u @ u) != $true)), 0.12/0.39 inference(superposition,[],[f55,f36])). 0.12/0.39 thf(f36,plain,( 0.12/0.39 ((moref @ z @ u) = $true)), 0.12/0.39 inference(cnf_transformation,[],[f15])). 0.12/0.39 thf(f15,plain,( 0.12/0.39 ((moref @ z @ u) = $true)), 0.12/0.39 inference(fool_elimination,[],[f14])). 0.12/0.39 thf(f14,plain,( 0.12/0.39 (moref @ z @ u)), 0.12/0.39 inference(rectify,[],[f4])). 0.12/0.39 thf(f4,axiom,( 0.12/0.39 (moref @ z @ u)), 0.12/0.39 file('/export/starexec/sandbox2/tmp/tmp.MVNq6HoE8o/E---3.1_16784.p',m)). 0.12/0.39 thf(f55,plain,( 0.12/0.39 ( ! [X0 : frac] : (((moref @ z @ X0) != $true) | ((eq @ X0 @ u) != $true)) )), 0.12/0.39 inference(subsumption_resolution,[],[f54,f37])). 0.12/0.39 thf(f37,plain,( 0.12/0.39 ((eq @ x @ y) = $true)), 0.12/0.39 inference(cnf_transformation,[],[f17])). 0.12/0.39 thf(f17,plain,( 0.12/0.39 ((eq @ x @ y) = $true)), 0.12/0.39 inference(fool_elimination,[],[f16])). 0.12/0.39 thf(f16,plain,( 0.12/0.39 (eq @ x @ y)), 0.12/0.39 inference(rectify,[],[f1])). 0.12/0.39 thf(f1,axiom,( 0.12/0.39 (eq @ x @ y)), 0.12/0.39 file('/export/starexec/sandbox2/tmp/tmp.MVNq6HoE8o/E---3.1_16784.p',e)). 0.12/0.39 thf(f54,plain,( 0.12/0.39 ( ! [X0 : frac] : (((eq @ x @ y) != $true) | ((eq @ X0 @ u) != $true) | ((moref @ z @ X0) != $true)) )), 0.12/0.39 inference(trivial_inequality_removal,[],[f53])). 0.12/0.39 thf(f53,plain,( 0.12/0.39 ( ! [X0 : frac] : (((eq @ X0 @ u) != $true) | ($true != $true) | ((moref @ z @ X0) != $true) | ((eq @ x @ y) != $true)) )), 0.12/0.39 inference(superposition,[],[f48,f33])). 0.12/0.39 thf(f33,plain,( 0.12/0.39 ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2)) = $true) | ((eq @ X1 @ X3) != $true) | ((eq @ X0 @ X2) != $true)) )), 0.12/0.39 inference(cnf_transformation,[],[f27])). 0.12/0.39 thf(f27,plain,( 0.12/0.39 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((eq @ X1 @ X3) != $true) | ((eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2)) = $true) | ((eq @ X0 @ X2) != $true))), 0.12/0.39 inference(flattening,[],[f26])). 0.12/0.39 thf(f26,plain,( 0.12/0.39 ! [X3 : frac,X2 : frac,X1 : frac,X0 : frac] : ((((eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2)) = $true) | ((eq @ X0 @ X2) != $true)) | ((eq @ X1 @ X3) != $true))), 0.12/0.39 inference(ennf_transformation,[],[f13])). 0.12/0.39 thf(f13,plain,( 0.12/0.39 ! [X3 : frac,X2 : frac,X1 : frac,X0 : frac] : (((eq @ X1 @ X3) = $true) => (((eq @ X0 @ X2) = $true) => ((eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2)) = $true)))), 0.12/0.39 inference(fool_elimination,[],[f12])). 0.12/0.39 thf(f12,plain,( 0.12/0.39 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((eq @ X1 @ X3) => ((eq @ X0 @ X2) => (eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2))))), 0.12/0.39 inference(rectify,[],[f6])). 0.12/0.39 thf(f6,axiom,( 0.12/0.39 ! [X2 : frac,X0 : frac,X3 : frac,X1 : frac] : ((eq @ X0 @ X1) => ((eq @ X2 @ X3) => (eq @ (pf @ X0 @ X2) @ (pf @ X1 @ X3))))), 0.12/0.39 file('/export/starexec/sandbox2/tmp/tmp.MVNq6HoE8o/E---3.1_16784.p',satz56)). 0.12/0.39 thf(f48,plain,( 0.12/0.39 ( ! [X0 : frac] : (((eq @ (pf @ x @ X0) @ (pf @ y @ u)) != $true) | ((moref @ z @ X0) != $true)) )), 0.12/0.39 inference(trivial_inequality_removal,[],[f45])). 0.12/0.39 thf(f45,plain,( 0.12/0.39 ( ! [X0 : frac] : (($true != $true) | ((eq @ (pf @ x @ X0) @ (pf @ y @ u)) != $true) | ((moref @ z @ X0) != $true)) )), 0.12/0.39 inference(superposition,[],[f44,f32])). 0.12/0.39 thf(f32,plain,( 0.12/0.39 ( ! [X2 : frac,X0 : frac,X1 : frac] : (((moref @ (pf @ X1 @ X0) @ (pf @ X1 @ X2)) = $true) | ((moref @ X0 @ X2) != $true)) )), 0.12/0.39 inference(cnf_transformation,[],[f30])). 0.12/0.39 thf(f30,plain,( 0.12/0.39 ! [X0 : frac,X1 : frac,X2 : frac] : (((moref @ X0 @ X2) != $true) | ((moref @ (pf @ X1 @ X0) @ (pf @ X1 @ X2)) = $true))), 0.12/0.39 inference(rectify,[],[f25])). 0.12/0.39 thf(f25,plain,( 0.12/0.39 ! [X0 : frac,X2 : frac,X1 : frac] : (((moref @ X0 @ X1) != $true) | ((moref @ (pf @ X2 @ X0) @ (pf @ X2 @ X1)) = $true))), 0.12/0.39 inference(ennf_transformation,[],[f19])). 0.12/0.39 thf(f19,plain,( 0.12/0.39 ! [X0 : frac,X2 : frac,X1 : frac] : (((moref @ X0 @ X1) = $true) => ((moref @ (pf @ X2 @ X0) @ (pf @ X2 @ X1)) = $true))), 0.12/0.39 inference(fool_elimination,[],[f18])). 0.12/0.39 thf(f18,plain,( 0.12/0.39 ! [X0 : frac,X1 : frac,X2 : frac] : ((moref @ X0 @ X1) => (moref @ (pf @ X2 @ X0) @ (pf @ X2 @ X1)))), 0.12/0.39 inference(rectify,[],[f3])). 0.12/0.39 thf(f3,axiom,( 0.12/0.39 ! [X0 : frac,X1 : frac,X2 : frac] : ((moref @ X0 @ X1) => (moref @ (pf @ X2 @ X0) @ (pf @ X2 @ X1)))), 0.12/0.39 file('/export/starexec/sandbox2/tmp/tmp.MVNq6HoE8o/E---3.1_16784.p',satz62d)). 0.12/0.39 thf(f44,plain,( 0.12/0.39 ( ! [X0 : frac] : (((moref @ (pf @ x @ z) @ X0) != $true) | ((eq @ X0 @ (pf @ y @ u)) != $true)) )), 0.12/0.39 inference(trivial_inequality_removal,[],[f42])). 0.12/0.39 thf(f42,plain,( 0.12/0.39 ( ! [X0 : frac] : (((moref @ (pf @ x @ z) @ X0) != $true) | ($true != $true) | ((eq @ X0 @ (pf @ y @ u)) != $true)) )), 0.12/0.39 inference(superposition,[],[f40,f38])). 0.12/0.39 thf(f40,plain,( 0.12/0.39 ( ! [X0 : frac,X1 : frac] : (((eq @ X1 @ (pf @ x @ z)) != $true) | ((eq @ X0 @ (pf @ y @ u)) != $true) | ((moref @ X1 @ X0) != $true)) )), 0.12/0.39 inference(trivial_inequality_removal,[],[f39])). 0.12/0.39 thf(f39,plain,( 0.12/0.39 ( ! [X0 : frac,X1 : frac] : (((moref @ X1 @ X0) != $true) | ((eq @ X0 @ (pf @ y @ u)) != $true) | ($true != $true) | ((eq @ X1 @ (pf @ x @ z)) != $true)) )), 0.12/0.39 inference(superposition,[],[f34,f35])). 0.12/0.39 thf(f35,plain,( 0.12/0.39 ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((moref @ X0 @ X3) = $true) | ((eq @ X2 @ X3) != $true) | ((moref @ X1 @ X2) != $true) | ((eq @ X1 @ X0) != $true)) )), 0.12/0.39 inference(cnf_transformation,[],[f31])). 0.12/0.39 thf(f31,plain,( 0.12/0.39 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((eq @ X1 @ X0) != $true) | ((eq @ X2 @ X3) != $true) | ((moref @ X1 @ X2) != $true) | ((moref @ X0 @ X3) = $true))), 0.12/0.39 inference(rectify,[],[f29])). 0.12/0.39 thf(f29,plain,( 0.12/0.39 ! [X1 : frac,X0 : frac,X3 : frac,X2 : frac] : (((eq @ X0 @ X1) != $true) | ((eq @ X3 @ X2) != $true) | ((moref @ X0 @ X3) != $true) | ((moref @ X1 @ X2) = $true))), 0.12/0.39 inference(flattening,[],[f28])). 0.12/0.39 thf(f28,plain,( 0.12/0.39 ! [X0 : frac,X3 : frac,X2 : frac,X1 : frac] : (((((moref @ X1 @ X2) = $true) | ((eq @ X3 @ X2) != $true)) | ((eq @ X0 @ X1) != $true)) | ((moref @ X0 @ X3) != $true))), 0.12/0.39 inference(ennf_transformation,[],[f11])). 0.12/0.39 thf(f11,plain,( 0.12/0.39 ! [X0 : frac,X3 : frac,X2 : frac,X1 : frac] : (((moref @ X0 @ X3) = $true) => (((eq @ X0 @ X1) = $true) => (((eq @ X3 @ X2) = $true) => ((moref @ X1 @ X2) = $true))))), 0.12/0.39 inference(fool_elimination,[],[f10])). 0.12/0.39 thf(f10,plain,( 0.12/0.39 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X0 @ X3) => ((eq @ X0 @ X1) => ((eq @ X3 @ X2) => (moref @ X1 @ X2))))), 0.12/0.39 inference(rectify,[],[f2])). 0.12/0.39 thf(f2,axiom,( 0.12/0.39 ! [X0 : frac,X2 : frac,X3 : frac,X1 : frac] : ((moref @ X0 @ X1) => ((eq @ X0 @ X2) => ((eq @ X1 @ X3) => (moref @ X2 @ X3))))), 0.12/0.39 file('/export/starexec/sandbox2/tmp/tmp.MVNq6HoE8o/E---3.1_16784.p',satz44)). 0.12/0.39 thf(f34,plain,( 0.12/0.39 ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)), 0.12/0.39 inference(cnf_transformation,[],[f24])). 0.12/0.39 thf(f24,plain,( 0.12/0.39 ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)), 0.12/0.39 inference(flattening,[],[f23])). 0.12/0.39 thf(f23,plain,( 0.12/0.39 ~((moref @ (pf @ x @ z) @ (pf @ y @ u)) = $true)), 0.12/0.39 inference(fool_elimination,[],[f22])). 0.12/0.39 thf(f22,plain,( 0.12/0.39 ~(moref @ (pf @ x @ z) @ (pf @ y @ u))), 0.12/0.39 inference(rectify,[],[f8])). 0.12/0.39 thf(f8,negated_conjecture,( 0.12/0.39 ~(moref @ (pf @ x @ z) @ (pf @ y @ u))), 0.12/0.39 inference(negated_conjecture,[],[f7])). 0.12/0.39 thf(f7,conjecture,( 0.12/0.39 (moref @ (pf @ x @ z) @ (pf @ y @ u))), 0.12/0.39 file('/export/starexec/sandbox2/tmp/tmp.MVNq6HoE8o/E---3.1_16784.p',satz62g)). 0.12/0.39 % SZS output end Proof for E---3.1_16784 0.12/0.39 % (16956)------------------------------ 0.12/0.39 % (16956)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.39 % (16956)Termination reason: Refutation 0.12/0.39 0.12/0.39 % (16956)Memory used [KB]: 5500 0.12/0.39 % (16956)Time elapsed: 0.010 s 0.12/0.39 % (16956)Instructions burned: 7 (million) 0.12/0.39 % (16956)------------------------------ 0.12/0.39 % (16956)------------------------------ 0.12/0.39 % (16950)Success in time 0.022 s 0.12/0.39 EOF