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
0.13/0.33	% Computer   : n021.cluster.edu
0.13/0.33	% Model      : x86_64 x86_64
0.13/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory     : 8042.1875MB
0.13/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 1920
0.13/0.33	% WCLimit    : 240
0.13/0.33	% DateTime   : Wed Jul 30 02:10:04 EDT 2025
0.13/0.33	% CPUTime    : 
0.13/0.35	This is a THF_ problem
0.13/0.35	Running higher-order theorem proving
0.13/0.36	Running /export/starexec/sandbox/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/sandbox/tmp/tmp.5wyrZrqhhy/E---3.1_23818.p -m 16384 -t 240
0.13/0.38	% (23927)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_23818 for (2399ds/27Mi)
0.13/0.38	% (23925)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_23818 for (2399ds/183Mi)
0.13/0.38	% (23926)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_23818 for (2399ds/4Mi)
0.13/0.38	% (23928)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_23818 for (2399ds/2Mi)
0.13/0.38	% (23929)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_23818 for (2399ds/2Mi)
0.13/0.38	% (23930)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_23818 for (2399ds/275Mi)
0.13/0.38	% (23931)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_23818 for (2399ds/18Mi)
0.13/0.38	% (23928)Instruction limit reached!
0.13/0.38	% (23928)------------------------------
0.13/0.38	% (23928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.13/0.38	% (23928)Termination reason: Unknown
0.13/0.38	% (23928)Termination phase: Preprocessing 3
0.13/0.38	% (23929)Instruction limit reached!
0.13/0.38	% (23929)------------------------------
0.13/0.38	% (23929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.13/0.38	% (23929)Termination reason: Unknown
0.13/0.38	% (23929)Termination phase: Unused predicate definition removal
0.13/0.38	
0.13/0.38	% (23929)Memory used [KB]: 895
0.13/0.38	% (23929)Time elapsed: 0.003 s
0.13/0.38	% (23929)Instructions burned: 2 (million)
0.13/0.38	% (23929)------------------------------
0.13/0.38	% (23929)------------------------------
0.13/0.38	
0.13/0.38	% (23928)Memory used [KB]: 895
0.13/0.38	% (23928)Time elapsed: 0.003 s
0.13/0.38	% (23928)Instructions burned: 2 (million)
0.13/0.38	% (23928)------------------------------
0.13/0.38	% (23928)------------------------------
0.13/0.39	% (23926)Instruction limit reached!
0.13/0.39	% (23926)------------------------------
0.13/0.39	% (23926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.13/0.39	% (23926)Termination reason: Unknown
0.13/0.39	% (23926)Termination phase: Saturation
0.13/0.39	
0.13/0.39	% (23926)Memory used [KB]: 5500
0.13/0.39	% (23926)Time elapsed: 0.005 s
0.13/0.39	% (23926)Instructions burned: 4 (million)
0.13/0.39	% (23926)------------------------------
0.13/0.39	% (23926)------------------------------
0.13/0.39	% (23930)First to succeed.
0.13/0.39	% (23925)Also succeeded, but the first one will report.
0.13/0.39	% (23930)Refutation found. Thanks to Tanya!
0.13/0.39	% SZS status Theorem for E---3.1_23818
0.13/0.39	% SZS output start Proof for E---3.1_23818
0.13/0.39	thf(type_def_5, type, frac: $tType).
0.13/0.39	thf(func_def_0, type, frac: $tType).
0.13/0.39	thf(func_def_1, type, x: frac).
0.13/0.39	thf(func_def_2, type, y: frac).
0.13/0.39	thf(func_def_3, type, z: frac).
0.13/0.39	thf(func_def_4, type, u: frac).
0.13/0.39	thf(func_def_5, type, eq: frac > frac > $o).
0.13/0.39	thf(func_def_6, type, moref: frac > frac > $o).
0.13/0.39	thf(func_def_7, type, pf: frac > frac > frac).
0.13/0.39	thf(f64,plain,(
0.13/0.39	  $false),
0.13/0.39	  inference(subsumption_resolution,[status(thm)],[f62,f35])).
0.13/0.39	thf(f35,plain,(
0.13/0.39	  ( ! [X0 : frac] : (((eq @ X0 @ X0) = $true)) )),
0.13/0.39	  inference(cnf_transformation,[status(thm)],[f13])).
0.13/0.39	thf(f13,plain,(
0.13/0.39	  ! [X0 : frac] : ((eq @ X0 @ X0) = $true)),
0.13/0.39	  inference(fool_elimination,[status(thm)],[f12])).
0.13/0.39	thf(f12,plain,(
0.13/0.39	  ! [X0 : frac] : (eq @ X0 @ X0)),
0.13/0.39	  inference(rectify,[status(thm)],[f3])).
0.13/0.39	thf(f3,axiom,(
0.13/0.39	  ! [X0 : frac] : (eq @ X0 @ X0)),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.5wyrZrqhhy/E---3.1_23818.p',satz37)).
0.13/0.39	thf(f62,plain,(
0.13/0.39	  ($true != (eq @ u @ u))),
0.13/0.39	  inference(trivial_inequality_removal,[status(thm)],[f60])).
0.13/0.39	thf(f60,plain,(
0.13/0.39	  ($true != $true) | ($true != (eq @ u @ u))),
0.13/0.39	  inference(superposition,[status(thm)],[f55,f37])).
0.13/0.39	thf(f37,plain,(
0.13/0.39	  ((moref @ z @ u) = $true)),
0.13/0.39	  inference(cnf_transformation,[status(thm)],[f11])).
0.13/0.39	thf(f11,plain,(
0.13/0.39	  ((moref @ z @ u) = $true)),
0.13/0.39	  inference(fool_elimination,[status(thm)],[f10])).
0.13/0.39	thf(f10,plain,(
0.13/0.39	  (moref @ z @ u)),
0.13/0.39	  inference(rectify,[status(thm)],[f6])).
0.13/0.39	thf(f6,axiom,(
0.13/0.39	  (moref @ z @ u)),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.5wyrZrqhhy/E---3.1_23818.p',m)).
0.13/0.39	thf(f55,plain,(
0.13/0.39	  ( ! [X0 : frac] : (($true != (moref @ z @ X0)) | ($true != (eq @ X0 @ u))) )),
0.13/0.39	  inference(subsumption_resolution,[status(thm)],[f54,f32])).
0.13/0.39	thf(f32,plain,(
0.13/0.39	  ((eq @ x @ y) = $true)),
0.13/0.39	  inference(cnf_transformation,[status(thm)],[f23])).
0.13/0.39	thf(f23,plain,(
0.13/0.39	  ((eq @ x @ y) = $true)),
0.13/0.39	  inference(fool_elimination,[status(thm)],[f22])).
0.13/0.39	thf(f22,plain,(
0.13/0.39	  (eq @ x @ y)),
0.13/0.39	  inference(rectify,[status(thm)],[f4])).
0.13/0.39	thf(f4,axiom,(
0.13/0.39	  (eq @ x @ y)),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.5wyrZrqhhy/E---3.1_23818.p',e)).
0.13/0.39	thf(f54,plain,(
0.13/0.39	  ( ! [X0 : frac] : (((eq @ x @ y) != $true) | ($true != (eq @ X0 @ u)) | ($true != (moref @ z @ X0))) )),
0.13/0.39	  inference(trivial_inequality_removal,[status(thm)],[f53])).
0.13/0.39	thf(f53,plain,(
0.13/0.39	  ( ! [X0 : frac] : (($true != $true) | ((eq @ x @ y) != $true) | ($true != (moref @ z @ X0)) | ($true != (eq @ X0 @ u))) )),
0.13/0.39	  inference(superposition,[status(thm)],[f48,f34])).
0.13/0.39	thf(f34,plain,(
0.13/0.39	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (($true = (eq @ (pf @ X1 @ X3) @ (pf @ X2 @ X0))) | ($true != (eq @ X1 @ X2)) | ($true != (eq @ X3 @ X0))) )),
0.13/0.39	  inference(cnf_transformation,[status(thm)],[f30])).
0.13/0.39	thf(f30,plain,(
0.13/0.39	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (($true != (eq @ X1 @ X2)) | ($true != (eq @ X3 @ X0)) | ($true = (eq @ (pf @ X1 @ X3) @ (pf @ X2 @ X0))))),
0.13/0.39	  inference(rectify,[status(thm)],[f26])).
0.13/0.39	thf(f26,plain,(
0.13/0.39	  ! [X2 : frac,X1 : frac,X3 : frac,X0 : frac] : (((eq @ X1 @ X3) != $true) | ((eq @ X0 @ X2) != $true) | ($true = (eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2))))),
0.13/0.39	  inference(flattening,[status(thm)],[f25])).
0.13/0.39	thf(f25,plain,(
0.13/0.39	  ! [X1 : frac,X2 : frac,X0 : frac,X3 : frac] : ((($true = (eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2))) | ((eq @ X0 @ X2) != $true)) | ((eq @ X1 @ X3) != $true))),
0.13/0.39	  inference(ennf_transformation,[status(thm)],[f19])).
0.13/0.39	thf(f19,plain,(
0.13/0.39	  ! [X1 : frac,X2 : frac,X0 : frac,X3 : frac] : (((eq @ X1 @ X3) = $true) => (((eq @ X0 @ X2) = $true) => ($true = (eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2)))))),
0.13/0.39	  inference(fool_elimination,[status(thm)],[f18])).
0.13/0.39	thf(f18,plain,(
0.13/0.39	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((eq @ X1 @ X3) => ((eq @ X0 @ X2) => (eq @ (pf @ X1 @ X0) @ (pf @ X3 @ X2))))),
0.13/0.39	  inference(rectify,[status(thm)],[f8])).
0.13/0.39	thf(f8,axiom,(
0.13/0.39	  ! [X2 : frac,X0 : frac,X3 : frac,X1 : frac] : ((eq @ X0 @ X1) => ((eq @ X2 @ X3) => (eq @ (pf @ X0 @ X2) @ (pf @ X1 @ X3))))),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.5wyrZrqhhy/E---3.1_23818.p',satz56)).
0.13/0.39	thf(f48,plain,(
0.13/0.39	  ( ! [X0 : frac] : (($true != (eq @ (pf @ x @ X0) @ (pf @ y @ u))) | ($true != (moref @ z @ X0))) )),
0.13/0.39	  inference(trivial_inequality_removal,[status(thm)],[f45])).
0.13/0.39	thf(f45,plain,(
0.13/0.39	  ( ! [X0 : frac] : (($true != $true) | ($true != (moref @ z @ X0)) | ($true != (eq @ (pf @ x @ X0) @ (pf @ y @ u)))) )),
0.13/0.39	  inference(superposition,[status(thm)],[f43,f33])).
0.13/0.39	thf(f33,plain,(
0.13/0.39	  ( ! [X2 : frac,X0 : frac,X1 : frac] : (($true = (moref @ (pf @ X0 @ X2) @ (pf @ X0 @ X1))) | ($true != (moref @ X2 @ X1))) )),
0.13/0.39	  inference(cnf_transformation,[status(thm)],[f27])).
0.13/0.39	thf(f27,plain,(
0.13/0.39	  ! [X0 : frac,X1 : frac,X2 : frac] : (($true = (moref @ (pf @ X0 @ X2) @ (pf @ X0 @ X1))) | ($true != (moref @ X2 @ X1)))),
0.13/0.39	  inference(ennf_transformation,[status(thm)],[f17])).
0.13/0.39	thf(f17,plain,(
0.13/0.39	  ! [X1 : frac,X2 : frac,X0 : frac] : (($true = (moref @ X2 @ X1)) => ($true = (moref @ (pf @ X0 @ X2) @ (pf @ X0 @ X1))))),
0.13/0.39	  inference(fool_elimination,[status(thm)],[f16])).
0.13/0.39	thf(f16,plain,(
0.13/0.39	  ! [X0 : frac,X1 : frac,X2 : frac] : ((moref @ X2 @ X1) => (moref @ (pf @ X0 @ X2) @ (pf @ X0 @ X1)))),
0.13/0.39	  inference(rectify,[status(thm)],[f7])).
0.13/0.39	thf(f7,axiom,(
0.13/0.39	  ! [X2 : frac,X1 : frac,X0 : frac] : ((moref @ X0 @ X1) => (moref @ (pf @ X2 @ X0) @ (pf @ X2 @ X1)))),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.5wyrZrqhhy/E---3.1_23818.p',satz62d)).
0.13/0.39	thf(f43,plain,(
0.13/0.39	  ( ! [X0 : frac] : (($true != (moref @ (pf @ x @ z) @ X0)) | ($true != (eq @ X0 @ (pf @ y @ u)))) )),
0.13/0.39	  inference(trivial_inequality_removal,[status(thm)],[f42])).
0.13/0.39	thf(f42,plain,(
0.13/0.39	  ( ! [X0 : frac] : (($true != $true) | ($true != (eq @ X0 @ (pf @ y @ u))) | ($true != (moref @ (pf @ x @ z) @ X0))) )),
0.13/0.39	  inference(superposition,[status(thm)],[f40,f35])).
0.13/0.39	thf(f40,plain,(
0.13/0.39	  ( ! [X0 : frac,X1 : frac] : (($true != (eq @ X1 @ (pf @ x @ z))) | ($true != (moref @ X1 @ X0)) | ($true != (eq @ X0 @ (pf @ y @ u)))) )),
0.13/0.39	  inference(trivial_inequality_removal,[status(thm)],[f39])).
0.13/0.39	thf(f39,plain,(
0.13/0.39	  ( ! [X0 : frac,X1 : frac] : (($true != (eq @ X1 @ (pf @ x @ z))) | ($true != (eq @ X0 @ (pf @ y @ u))) | ($true != $true) | ($true != (moref @ X1 @ X0))) )),
0.13/0.39	  inference(superposition,[status(thm)],[f38,f36])).
0.13/0.39	thf(f36,plain,(
0.13/0.39	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((moref @ X0 @ X1) = $true) | ($true != (eq @ X2 @ X1)) | ($true != (moref @ X3 @ X2)) | ($true != (eq @ X3 @ X0))) )),
0.13/0.39	  inference(cnf_transformation,[status(thm)],[f31])).
0.13/0.39	thf(f31,plain,(
0.13/0.39	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((moref @ X0 @ X1) = $true) | ($true != (eq @ X3 @ X0)) | ($true != (moref @ X3 @ X2)) | ($true != (eq @ X2 @ X1)))),
0.13/0.39	  inference(rectify,[status(thm)],[f29])).
0.13/0.39	thf(f29,plain,(
0.13/0.39	  ! [X3 : frac,X1 : frac,X0 : frac,X2 : frac] : (($true = (moref @ X3 @ X1)) | ((eq @ X2 @ X3) != $true) | ($true != (moref @ X2 @ X0)) | ((eq @ X0 @ X1) != $true))),
0.13/0.39	  inference(flattening,[status(thm)],[f28])).
0.13/0.39	thf(f28,plain,(
0.13/0.39	  ! [X1 : frac,X0 : frac,X3 : frac,X2 : frac] : (((($true = (moref @ X3 @ X1)) | ((eq @ X0 @ X1) != $true)) | ((eq @ X2 @ X3) != $true)) | ($true != (moref @ X2 @ X0)))),
0.13/0.39	  inference(ennf_transformation,[status(thm)],[f21])).
0.13/0.39	thf(f21,plain,(
0.13/0.39	  ! [X1 : frac,X0 : frac,X3 : frac,X2 : frac] : (($true = (moref @ X2 @ X0)) => (((eq @ X2 @ X3) = $true) => (((eq @ X0 @ X1) = $true) => ($true = (moref @ X3 @ X1)))))),
0.13/0.39	  inference(fool_elimination,[status(thm)],[f20])).
0.13/0.39	thf(f20,plain,(
0.13/0.39	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X2 @ X0) => ((eq @ X2 @ X3) => ((eq @ X0 @ X1) => (moref @ X3 @ X1))))),
0.13/0.39	  inference(rectify,[status(thm)],[f5])).
0.13/0.39	thf(f5,axiom,(
0.13/0.39	  ! [X1 : frac,X3 : frac,X0 : frac,X2 : frac] : ((moref @ X0 @ X1) => ((eq @ X0 @ X2) => ((eq @ X1 @ X3) => (moref @ X2 @ X3))))),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.5wyrZrqhhy/E---3.1_23818.p',satz44)).
0.13/0.39	thf(f38,plain,(
0.13/0.39	  ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)),
0.13/0.39	  inference(cnf_transformation,[status(thm)],[f24])).
0.13/0.39	thf(f24,plain,(
0.13/0.39	  ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)),
0.13/0.39	  inference(flattening,[status(thm)],[f15])).
0.13/0.39	thf(f15,plain,(
0.13/0.39	  ~((moref @ (pf @ x @ z) @ (pf @ y @ u)) = $true)),
0.13/0.39	  inference(fool_elimination,[status(thm)],[f14])).
0.13/0.39	thf(f14,plain,(
0.13/0.39	  ~(moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.13/0.39	  inference(rectify,[status(thm)],[f2])).
0.13/0.39	thf(f2,negated_conjecture,(
0.13/0.39	  ~(moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.13/0.39	  inference(negated_conjecture,[status(cth)],[f1])).
0.13/0.39	thf(f1,conjecture,(
0.13/0.39	  (moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.13/0.39	  file('/export/starexec/sandbox/tmp/tmp.5wyrZrqhhy/E---3.1_23818.p',satz62g)).
0.13/0.39	% SZS output end Proof for E---3.1_23818
0.13/0.39	% (23930)------------------------------
0.13/0.39	% (23930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.13/0.39	% (23930)Termination reason: Refutation
0.13/0.39	
0.13/0.39	% (23930)Memory used [KB]: 5500
0.13/0.39	% (23930)Time elapsed: 0.009 s
0.13/0.39	% (23930)Instructions burned: 9 (million)
0.13/0.39	% (23930)------------------------------
0.13/0.39	% (23930)------------------------------
0.13/0.39	% (23924)Success in time 0.014 s
0.13/0.39	EOF