0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_vampire %s %d THM
0.11/0.32	% Computer : n007.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
0.11/0.32	% CPULimit   : 1920
0.11/0.32	% WCLimit    : 240
0.11/0.32	% DateTime   : Wed Jul 30 02:10:04 EDT 2025
0.11/0.33	% CPUTime    : 
0.11/0.34	This is a THF_ problem
0.11/0.35	Running higher-order theorem proving
0.11/0.35	Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.xUKaFuK2qr/E---3.1_16904.p -m 16384 -t 240
0.11/0.37	% (17014)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16904 for (2399ds/2Mi)
0.11/0.37	% (17016)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_16904 for (2399ds/275Mi)
0.11/0.37	% (17013)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_16904 for (2399ds/27Mi)
0.11/0.37	% (17012)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_16904 for (2399ds/4Mi)
0.11/0.37	% (17015)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_16904 for (2399ds/2Mi)
0.11/0.37	% (17011)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16904 for (2399ds/183Mi)
0.11/0.37	% (17017)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16904 for (2399ds/18Mi)
0.22/0.37	% (17014)Instruction limit reached!
0.22/0.37	% (17014)------------------------------
0.22/0.37	% (17014)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.37	% (17014)Termination reason: Unknown
0.22/0.37	% (17014)Termination phase: Saturation
0.22/0.37	% (17015)Instruction limit reached!
0.22/0.37	% (17015)------------------------------
0.22/0.37	% (17015)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.37	% (17015)Termination reason: Unknown
0.22/0.37	% (17015)Termination phase: Saturation
0.22/0.37	
0.22/0.37	% (17015)Memory used [KB]: 1023
0.22/0.37	% (17015)Time elapsed: 0.004 s
0.22/0.37	% (17015)Instructions burned: 2 (million)
0.22/0.37	% (17015)------------------------------
0.22/0.37	% (17015)------------------------------
0.22/0.37	
0.22/0.37	% (17014)Memory used [KB]: 5500
0.22/0.37	% (17014)Time elapsed: 0.004 s
0.22/0.37	% (17014)Instructions burned: 2 (million)
0.22/0.37	% (17014)------------------------------
0.22/0.37	% (17014)------------------------------
0.22/0.38	% (17012)Instruction limit reached!
0.22/0.38	% (17012)------------------------------
0.22/0.38	% (17012)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.38	% (17012)Termination reason: Unknown
0.22/0.38	% (17012)Termination phase: Saturation
0.22/0.38	
0.22/0.38	% (17012)Memory used [KB]: 5500
0.22/0.38	% (17012)Time elapsed: 0.005 s
0.22/0.38	% (17012)Instructions burned: 5 (million)
0.22/0.38	% (17012)------------------------------
0.22/0.38	% (17012)------------------------------
0.22/0.38	% (17016)First to succeed.
0.22/0.38	% (17016)Refutation found. Thanks to Tanya!
0.22/0.38	% SZS status Theorem for E---3.1_16904
0.22/0.38	% SZS output start Proof for E---3.1_16904
0.22/0.38	thf(type_def_5, type, frac: $tType).
0.22/0.38	thf(func_def_0, type, frac: $tType).
0.22/0.38	thf(func_def_1, type, x: frac).
0.22/0.38	thf(func_def_2, type, y: frac).
0.22/0.38	thf(func_def_3, type, z: frac).
0.22/0.38	thf(func_def_4, type, u: frac).
0.22/0.38	thf(func_def_5, type, eq: frac > frac > $o).
0.22/0.38	thf(func_def_6, type, moref: frac > frac > $o).
0.22/0.38	thf(func_def_7, type, pf: frac > frac > frac).
0.22/0.38	thf(f65,plain,(
0.22/0.38	  $false),
0.22/0.38	  inference(subsumption_resolution,[],[f63,f33])).
0.22/0.38	thf(f33,plain,(
0.22/0.38	  ( ! [X0 : frac] : (((eq @ X0 @ X0) = $true)) )),
0.22/0.38	  inference(cnf_transformation,[],[f19])).
0.22/0.38	thf(f19,plain,(
0.22/0.38	  ! [X0 : frac] : ((eq @ X0 @ X0) = $true)),
0.22/0.38	  inference(fool_elimination,[],[f18])).
0.22/0.38	thf(f18,plain,(
0.22/0.38	  ! [X0 : frac] : (eq @ X0 @ X0)),
0.22/0.38	  inference(rectify,[],[f3])).
0.22/0.38	thf(f3,axiom,(
0.22/0.38	  ! [X0 : frac] : (eq @ X0 @ X0)),
0.22/0.38	  file('/export/starexec/sandbox/tmp/tmp.xUKaFuK2qr/E---3.1_16904.p',satz37)).
0.22/0.38	thf(f63,plain,(
0.22/0.38	  ($true != (eq @ u @ u))),
0.22/0.38	  inference(trivial_inequality_removal,[],[f61])).
0.22/0.38	thf(f61,plain,(
0.22/0.38	  ($true != $true) | ($true != (eq @ u @ u))),
0.22/0.38	  inference(superposition,[],[f56,f36])).
0.22/0.38	thf(f36,plain,(
0.22/0.38	  ((moref @ z @ u) = $true)),
0.22/0.38	  inference(cnf_transformation,[],[f23])).
0.22/0.38	thf(f23,plain,(
0.22/0.38	  ((moref @ z @ u) = $true)),
0.22/0.38	  inference(fool_elimination,[],[f22])).
0.22/0.38	thf(f22,plain,(
0.22/0.38	  (moref @ z @ u)),
0.22/0.38	  inference(rectify,[],[f6])).
0.22/0.38	thf(f6,axiom,(
0.22/0.38	  (moref @ z @ u)),
0.22/0.38	  file('/export/starexec/sandbox/tmp/tmp.xUKaFuK2qr/E---3.1_16904.p',m)).
0.22/0.38	thf(f56,plain,(
0.22/0.38	  ( ! [X0 : frac] : (((moref @ z @ X0) != $true) | ((eq @ X0 @ u) != $true)) )),
0.22/0.38	  inference(subsumption_resolution,[],[f55,f35])).
0.22/0.38	thf(f35,plain,(
0.22/0.38	  ((eq @ x @ y) = $true)),
0.22/0.38	  inference(cnf_transformation,[],[f17])).
0.22/0.38	thf(f17,plain,(
0.22/0.38	  ((eq @ x @ y) = $true)),
0.22/0.38	  inference(fool_elimination,[],[f16])).
0.22/0.38	thf(f16,plain,(
0.22/0.38	  (eq @ x @ y)),
0.22/0.38	  inference(rectify,[],[f4])).
0.22/0.38	thf(f4,axiom,(
0.22/0.38	  (eq @ x @ y)),
0.22/0.38	  file('/export/starexec/sandbox/tmp/tmp.xUKaFuK2qr/E---3.1_16904.p',e)).
0.22/0.38	thf(f55,plain,(
0.22/0.38	  ( ! [X0 : frac] : (((eq @ X0 @ u) != $true) | ((eq @ x @ y) != $true) | ((moref @ z @ X0) != $true)) )),
0.22/0.38	  inference(trivial_inequality_removal,[],[f54])).
0.22/0.38	thf(f54,plain,(
0.22/0.38	  ( ! [X0 : frac] : (((moref @ z @ X0) != $true) | ($true != $true) | ((eq @ X0 @ u) != $true) | ((eq @ x @ y) != $true)) )),
0.22/0.38	  inference(superposition,[],[f49,f34])).
0.22/0.38	thf(f34,plain,(
0.22/0.38	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((eq @ (pf @ X0 @ X2) @ (pf @ X1 @ X3)) = $true) | ((eq @ X2 @ X3) != $true) | ((eq @ X0 @ X1) != $true)) )),
0.22/0.38	  inference(cnf_transformation,[],[f30])).
0.22/0.38	thf(f30,plain,(
0.22/0.38	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((eq @ (pf @ X0 @ X2) @ (pf @ X1 @ X3)) = $true) | ((eq @ X0 @ X1) != $true) | ((eq @ X2 @ X3) != $true))),
0.22/0.38	  inference(rectify,[],[f27])).
0.22/0.38	thf(f27,plain,(
0.22/0.38	  ! [X3 : frac,X0 : frac,X1 : frac,X2 : frac] : (($true = (eq @ (pf @ X3 @ X1) @ (pf @ X0 @ X2))) | ($true != (eq @ X3 @ X0)) | ($true != (eq @ X1 @ X2)))),
0.22/0.38	  inference(flattening,[],[f26])).
0.22/0.38	thf(f26,plain,(
0.22/0.38	  ! [X3 : frac,X2 : frac,X0 : frac,X1 : frac] : ((($true = (eq @ (pf @ X3 @ X1) @ (pf @ X0 @ X2))) | ($true != (eq @ X1 @ X2))) | ($true != (eq @ X3 @ X0)))),
0.22/0.38	  inference(ennf_transformation,[],[f15])).
0.22/0.38	thf(f15,plain,(
0.22/0.38	  ! [X3 : frac,X2 : frac,X0 : frac,X1 : frac] : (($true = (eq @ X3 @ X0)) => (($true = (eq @ X1 @ X2)) => ($true = (eq @ (pf @ X3 @ X1) @ (pf @ X0 @ X2)))))),
0.22/0.38	  inference(fool_elimination,[],[f14])).
0.22/0.38	thf(f14,plain,(
0.22/0.38	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((eq @ X3 @ X0) => ((eq @ X1 @ X2) => (eq @ (pf @ X3 @ X1) @ (pf @ X0 @ X2))))),
0.22/0.38	  inference(rectify,[],[f8])).
0.22/0.38	thf(f8,axiom,(
0.22/0.38	  ! [X1 : frac,X2 : frac,X3 : frac,X0 : frac] : ((eq @ X0 @ X1) => ((eq @ X2 @ X3) => (eq @ (pf @ X0 @ X2) @ (pf @ X1 @ X3))))),
0.22/0.38	  file('/export/starexec/sandbox/tmp/tmp.xUKaFuK2qr/E---3.1_16904.p',satz56)).
0.22/0.38	thf(f49,plain,(
0.22/0.38	  ( ! [X0 : frac] : (((eq @ (pf @ x @ X0) @ (pf @ y @ u)) != $true) | ((moref @ z @ X0) != $true)) )),
0.22/0.38	  inference(trivial_inequality_removal,[],[f46])).
0.22/0.38	thf(f46,plain,(
0.22/0.38	  ( ! [X0 : frac] : (($true != $true) | ((moref @ z @ X0) != $true) | ((eq @ (pf @ x @ X0) @ (pf @ y @ u)) != $true)) )),
0.22/0.38	  inference(superposition,[],[f44,f37])).
0.22/0.38	thf(f37,plain,(
0.22/0.38	  ( ! [X2 : frac,X0 : frac,X1 : frac] : (($true = (moref @ (pf @ X2 @ X1) @ (pf @ X2 @ X0))) | ($true != (moref @ X1 @ X0))) )),
0.22/0.38	  inference(cnf_transformation,[],[f31])).
0.22/0.38	thf(f31,plain,(
0.22/0.38	  ! [X0 : frac,X1 : frac,X2 : frac] : (($true != (moref @ X1 @ X0)) | ($true = (moref @ (pf @ X2 @ X1) @ (pf @ X2 @ X0))))),
0.22/0.38	  inference(rectify,[],[f25])).
0.22/0.38	thf(f25,plain,(
0.22/0.38	  ! [X2 : frac,X0 : frac,X1 : frac] : (((moref @ X0 @ X2) != $true) | ($true = (moref @ (pf @ X1 @ X0) @ (pf @ X1 @ X2))))),
0.22/0.38	  inference(ennf_transformation,[],[f11])).
0.22/0.38	thf(f11,plain,(
0.22/0.38	  ! [X0 : frac,X2 : frac,X1 : frac] : (((moref @ X0 @ X2) = $true) => ($true = (moref @ (pf @ X1 @ X0) @ (pf @ X1 @ X2))))),
0.22/0.38	  inference(fool_elimination,[],[f10])).
0.22/0.38	thf(f10,plain,(
0.22/0.38	  ! [X0 : frac,X1 : frac,X2 : frac] : ((moref @ X0 @ X2) => (moref @ (pf @ X1 @ X0) @ (pf @ X1 @ X2)))),
0.22/0.38	  inference(rectify,[],[f7])).
0.22/0.38	thf(f7,axiom,(
0.22/0.38	  ! [X0 : frac,X2 : frac,X1 : frac] : ((moref @ X0 @ X1) => (moref @ (pf @ X2 @ X0) @ (pf @ X2 @ X1)))),
0.22/0.38	  file('/export/starexec/sandbox/tmp/tmp.xUKaFuK2qr/E---3.1_16904.p',satz62d)).
0.22/0.38	thf(f44,plain,(
0.22/0.38	  ( ! [X0 : frac] : (($true != (moref @ (pf @ x @ z) @ X0)) | ((eq @ X0 @ (pf @ y @ u)) != $true)) )),
0.22/0.38	  inference(trivial_inequality_removal,[],[f42])).
0.22/0.38	thf(f42,plain,(
0.22/0.38	  ( ! [X0 : frac] : (($true != (moref @ (pf @ x @ z) @ X0)) | ($true != $true) | ((eq @ X0 @ (pf @ y @ u)) != $true)) )),
0.22/0.38	  inference(superposition,[],[f41,f33])).
0.22/0.38	thf(f41,plain,(
0.22/0.38	  ( ! [X0 : frac,X1 : frac] : (($true != (eq @ X1 @ (pf @ x @ z))) | ((eq @ X0 @ (pf @ y @ u)) != $true) | ($true != (moref @ X1 @ X0))) )),
0.22/0.38	  inference(trivial_inequality_removal,[],[f40])).
0.22/0.38	thf(f40,plain,(
0.22/0.38	  ( ! [X0 : frac,X1 : frac] : (($true != (moref @ X1 @ X0)) | ($true != $true) | ($true != (eq @ X1 @ (pf @ x @ z))) | ((eq @ X0 @ (pf @ y @ u)) != $true)) )),
0.22/0.38	  inference(superposition,[],[f38,f39])).
0.22/0.38	thf(f39,plain,(
0.22/0.38	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (($true = (moref @ X0 @ X3)) | ((eq @ X1 @ X3) != $true) | ((eq @ X2 @ X0) != $true) | ($true != (moref @ X2 @ X1))) )),
0.22/0.38	  inference(cnf_transformation,[],[f32])).
0.22/0.38	thf(f32,plain,(
0.22/0.38	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((eq @ X1 @ X3) != $true) | ($true != (moref @ X2 @ X1)) | ($true = (moref @ X0 @ X3)) | ((eq @ X2 @ X0) != $true))),
0.22/0.38	  inference(rectify,[],[f29])).
0.22/0.38	thf(f29,plain,(
0.22/0.38	  ! [X0 : frac,X3 : frac,X2 : frac,X1 : frac] : (($true != (eq @ X3 @ X1)) | ((moref @ X2 @ X3) != $true) | ((moref @ X0 @ X1) = $true) | ((eq @ X2 @ X0) != $true))),
0.22/0.38	  inference(flattening,[],[f28])).
0.22/0.38	thf(f28,plain,(
0.22/0.38	  ! [X2 : frac,X0 : frac,X3 : frac,X1 : frac] : (((((moref @ X0 @ X1) = $true) | ($true != (eq @ X3 @ X1))) | ((eq @ X2 @ X0) != $true)) | ((moref @ X2 @ X3) != $true))),
0.22/0.38	  inference(ennf_transformation,[],[f13])).
0.22/0.38	thf(f13,plain,(
0.22/0.38	  ! [X2 : frac,X0 : frac,X3 : frac,X1 : frac] : (((moref @ X2 @ X3) = $true) => (((eq @ X2 @ X0) = $true) => (($true = (eq @ X3 @ X1)) => ((moref @ X0 @ X1) = $true))))),
0.22/0.38	  inference(fool_elimination,[],[f12])).
0.22/0.38	thf(f12,plain,(
0.22/0.38	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X2 @ X3) => ((eq @ X2 @ X0) => ((eq @ X3 @ X1) => (moref @ X0 @ X1))))),
0.22/0.38	  inference(rectify,[],[f5])).
0.22/0.38	thf(f5,axiom,(
0.22/0.38	  ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : ((moref @ X0 @ X1) => ((eq @ X0 @ X2) => ((eq @ X1 @ X3) => (moref @ X2 @ X3))))),
0.22/0.38	  file('/export/starexec/sandbox/tmp/tmp.xUKaFuK2qr/E---3.1_16904.p',satz44)).
0.22/0.38	thf(f38,plain,(
0.22/0.38	  ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)),
0.22/0.38	  inference(cnf_transformation,[],[f24])).
0.22/0.38	thf(f24,plain,(
0.22/0.38	  ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)),
0.22/0.38	  inference(flattening,[],[f21])).
0.22/0.38	thf(f21,plain,(
0.22/0.38	  ~((moref @ (pf @ x @ z) @ (pf @ y @ u)) = $true)),
0.22/0.38	  inference(fool_elimination,[],[f20])).
0.22/0.38	thf(f20,plain,(
0.22/0.38	  ~(moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.22/0.38	  inference(rectify,[],[f2])).
0.22/0.38	thf(f2,negated_conjecture,(
0.22/0.38	  ~(moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.22/0.38	  inference(negated_conjecture,[],[f1])).
0.22/0.38	thf(f1,conjecture,(
0.22/0.38	  (moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.22/0.38	  file('/export/starexec/sandbox/tmp/tmp.xUKaFuK2qr/E---3.1_16904.p',satz62g)).
0.22/0.38	% SZS output end Proof for E---3.1_16904
0.22/0.38	% (17016)------------------------------
0.22/0.38	% (17016)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.38	% (17016)Termination reason: Refutation
0.22/0.38	
0.22/0.38	% (17016)Memory used [KB]: 5500
0.22/0.38	% (17016)Time elapsed: 0.010 s
0.22/0.38	% (17016)Instructions burned: 8 (million)
0.22/0.38	% (17016)------------------------------
0.22/0.38	% (17016)------------------------------
0.22/0.38	% (17010)Success in time 0.014 s
0.22/0.38	EOF