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
0.12/0.33	% Computer : n006.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 06:16:09 EDT 2024
0.12/0.33	% CPUTime    : 
0.12/0.34	This is a THF_ problem
0.12/0.35	Running higher-order theorem proving
0.12/0.35	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.hnu55oj3QH/E---3.1_1443.p -m 16384 -t 180
0.12/0.37	% (1554)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_1443 for (1799ds/27Mi)
0.12/0.37	% (1555)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_1443 for (1799ds/2Mi)
0.12/0.37	% (1553)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_1443 for (1799ds/4Mi)
0.12/0.37	% (1552)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_1443 for (1799ds/183Mi)
0.12/0.37	% (1556)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_1443 for (1799ds/2Mi)
0.12/0.37	% (1557)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_1443 for (1799ds/275Mi)
0.12/0.37	% (1558)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_1443 for (1799ds/18Mi)
0.12/0.37	% (1556)Instruction limit reached!
0.12/0.37	% (1556)------------------------------
0.12/0.37	% (1556)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.37	% (1556)Termination reason: Unknown
0.12/0.37	% (1556)Termination phase: Property scanning
0.12/0.37	
0.12/0.37	% (1556)Memory used [KB]: 895
0.12/0.37	% (1556)Time elapsed: 0.003 s
0.12/0.37	% (1556)Instructions burned: 2 (million)
0.12/0.37	% (1556)------------------------------
0.12/0.37	% (1556)------------------------------
0.12/0.37	% (1555)Instruction limit reached!
0.12/0.37	% (1555)------------------------------
0.12/0.37	% (1555)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.37	% (1555)Termination reason: Unknown
0.12/0.37	% (1555)Termination phase: Saturation
0.12/0.37	
0.12/0.37	% (1555)Memory used [KB]: 5500
0.12/0.37	% (1555)Time elapsed: 0.004 s
0.12/0.37	% (1555)Instructions burned: 2 (million)
0.12/0.37	% (1555)------------------------------
0.12/0.37	% (1555)------------------------------
0.12/0.38	% (1557)Refutation not found, incomplete strategy
0.12/0.38	% (1557)------------------------------
0.12/0.38	% (1557)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.38	% (1557)Termination reason: Refutation not found, incomplete strategy
0.12/0.38	
0.12/0.38	
0.12/0.38	% (1557)Memory used [KB]: 5500
0.12/0.38	% (1557)Time elapsed: 0.004 s
0.12/0.38	% (1557)Instructions burned: 2 (million)
0.12/0.38	% (1557)------------------------------
0.12/0.38	% (1557)------------------------------
0.12/0.38	% (1553)Instruction limit reached!
0.12/0.38	% (1553)------------------------------
0.12/0.38	% (1553)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.38	% (1553)Termination reason: Unknown
0.12/0.38	% (1553)Termination phase: Saturation
0.12/0.38	
0.12/0.38	% (1553)Memory used [KB]: 5500
0.12/0.38	% (1553)Time elapsed: 0.005 s
0.12/0.38	% (1553)Instructions burned: 4 (million)
0.12/0.38	% (1553)------------------------------
0.12/0.38	% (1553)------------------------------
0.12/0.38	% (1554)First to succeed.
0.20/0.38	% (1554)Refutation found. Thanks to Tanya!
0.20/0.38	% SZS status Theorem for E---3.1_1443
0.20/0.38	% SZS output start Proof for E---3.1_1443
0.20/0.38	thf(func_def_0, type, num: $tType).
0.20/0.38	thf(func_def_1, type, believes_THFTYPE_IiooI: $i > $o > $o).
0.20/0.38	thf(func_def_2, type, considers_THFTYPE_IiooI: $i > $o > $o).
0.20/0.38	thf(func_def_3, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
0.20/0.38	thf(func_def_4, type, husband_THFTYPE_IiioI: $i > $i > $o).
0.20/0.38	thf(func_def_6, type, wife_THFTYPE_IiioI: $i > $i > $o).
0.20/0.38	thf(func_def_7, type, inverse_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o).
0.20/0.38	thf(func_def_10, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.20/0.38	thf(func_def_16, type, sK0: $i > $o > $i).
0.20/0.38	thf(func_def_18, type, ph2: !>[X0: $tType]:(X0)).
0.20/0.38	thf(f90,plain,(
0.20/0.38	  $false),
0.20/0.38	  inference(avatar_sat_refutation,[],[f45,f61,f68,f76,f89])).
0.20/0.38	thf(f89,plain,(
0.20/0.38	  ~spl1_1 | ~spl1_3),
0.20/0.38	  inference(avatar_contradiction_clause,[],[f88])).
0.20/0.38	thf(f88,plain,(
0.20/0.38	  $false | (~spl1_1 | ~spl1_3)),
0.20/0.38	  inference(trivial_inequality_removal,[],[f87])).
0.20/0.38	thf(f87,plain,(
0.20/0.38	  ($false = $true) | (~spl1_1 | ~spl1_3)),
0.20/0.39	  inference(forward_demodulation,[],[f82,f41])).
0.20/0.39	thf(f41,plain,(
0.20/0.39	  ( ! [X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)) = $false)) ) | ~spl1_1),
0.20/0.39	  inference(avatar_component_clause,[],[f40])).
0.20/0.39	thf(f40,plain,(
0.20/0.39	  spl1_1 <=> ! [X1] : ((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)) = $false)),
0.20/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.20/0.39	thf(f82,plain,(
0.20/0.39	  ((holdsDuring_THFTYPE_IiooI @ (sK0 @ lMax_THFTYPE_i @ $true) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)) = $true) | ~spl1_3),
0.20/0.39	  inference(backward_demodulation,[],[f35,f64])).
0.20/0.39	thf(f64,plain,(
0.20/0.39	  ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)) ) | ~spl1_3),
0.20/0.39	  inference(avatar_component_clause,[],[f63])).
0.20/0.39	thf(f63,plain,(
0.20/0.39	  spl1_3 <=> ! [X0] : ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)),
0.20/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.20/0.39	thf(f35,plain,(
0.20/0.39	  ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (sK0 @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) = $true)) )),
0.20/0.39	  inference(trivial_inequality_removal,[],[f34])).
0.20/0.39	thf(f34,plain,(
0.20/0.39	  ( ! [X0 : $i] : (($true != $true) | ((holdsDuring_THFTYPE_IiooI @ (sK0 @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) = $true)) )),
0.20/0.39	  inference(superposition,[],[f24,f30])).
0.20/0.39	thf(f30,plain,(
0.20/0.39	  ( ! [X0 : $i] : (((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) = $true)) )),
0.20/0.39	  inference(not_proxy_clausification,[],[f27])).
0.20/0.39	thf(f27,plain,(
0.20/0.39	  ( ! [X0 : $i] : (((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) != $true)) )),
0.20/0.39	  inference(cnf_transformation,[],[f18])).
0.20/0.39	thf(f18,plain,(
0.20/0.39	  ! [X0] : ((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) != $true)),
0.20/0.39	  inference(ennf_transformation,[],[f13])).
0.20/0.39	thf(f13,plain,(
0.20/0.39	  ~? [X0] : ((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) = $true)),
0.20/0.39	  inference(fool_elimination,[],[f12])).
0.20/0.39	thf(f12,plain,(
0.20/0.39	  ~? [X0] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))),
0.20/0.39	  inference(rectify,[],[f4])).
0.20/0.39	thf(f4,negated_conjecture,(
0.20/0.39	  ~? [X7] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X7)))),
0.20/0.39	  inference(negated_conjecture,[],[f3])).
0.20/0.39	thf(f3,conjecture,(
0.20/0.39	  ? [X7] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X7)))),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.hnu55oj3QH/E---3.1_1443.p',con)).
0.20/0.39	thf(f24,plain,(
0.20/0.39	  ( ! [X0 : $o,X1 : $i] : (((believes_THFTYPE_IiooI @ X1 @ X0) != $true) | ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X1 @ X0)) = $true)) )),
0.20/0.39	  inference(cnf_transformation,[],[f22])).
0.20/0.39	thf(f22,plain,(
0.20/0.39	  ! [X0 : $o,X1] : (((believes_THFTYPE_IiooI @ X1 @ X0) != $true) | ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X1 @ X0)) = $true))),
0.20/0.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f21])).
0.20/0.39	thf(f21,plain,(
0.20/0.39	  ! [X0 : $o,X1] : (? [X2] : ((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0)) = $true) => ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X1 @ X0)) = $true))),
0.20/0.39	  introduced(choice_axiom,[])).
0.20/0.39	thf(f19,plain,(
0.20/0.39	  ! [X0 : $o,X1] : (((believes_THFTYPE_IiooI @ X1 @ X0) != $true) | ? [X2] : ((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0)) = $true))),
0.20/0.39	  inference(ennf_transformation,[],[f17])).
0.20/0.39	thf(f17,plain,(
0.20/0.39	  ! [X0 : $o,X1] : (((believes_THFTYPE_IiooI @ X1 @ X0) = $true) => ? [X2] : ((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0)) = $true))),
0.20/0.39	  inference(fool_elimination,[],[f16])).
0.20/0.39	thf(f16,plain,(
0.20/0.39	  ! [X0 : $o,X1] : ((believes_THFTYPE_IiooI @ X1 @ X0) => ? [X2] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0)))),
0.20/0.39	  inference(rectify,[],[f1])).
0.20/0.39	thf(f1,axiom,(
0.20/0.39	  ! [X0 : $o,X1] : ((believes_THFTYPE_IiooI @ X1 @ X0) => ? [X2] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0)))),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.hnu55oj3QH/E---3.1_1443.p',ax_002)).
0.20/0.39	thf(f76,plain,(
0.20/0.39	  spl1_3 | ~spl1_4),
0.20/0.39	  inference(avatar_split_clause,[],[f75,f66,f63])).
0.20/0.39	thf(f66,plain,(
0.20/0.39	  spl1_4 <=> ! [X1] : ($false = (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false)))),
0.20/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.20/0.39	thf(f75,plain,(
0.20/0.39	  ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)) ) | ~spl1_4),
0.20/0.39	  inference(trivial_inequality_removal,[],[f74])).
0.20/0.39	thf(f74,plain,(
0.20/0.39	  ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true) | ($false = $true)) ) | ~spl1_4),
0.20/0.39	  inference(forward_demodulation,[],[f71,f67])).
0.20/0.39	thf(f67,plain,(
0.20/0.39	  ( ! [X1 : $i] : (($false = (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false)))) ) | ~spl1_4),
0.20/0.39	  inference(avatar_component_clause,[],[f66])).
0.20/0.39	thf(f71,plain,(
0.20/0.39	  ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (sK0 @ lMax_THFTYPE_i @ $false) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false)) = $true) | ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)) )),
0.20/0.39	  inference(superposition,[],[f35,f55])).
0.20/0.39	thf(f55,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (($false = (husband_THFTYPE_IiioI @ X1 @ X0)) | ((husband_THFTYPE_IiioI @ X1 @ X0) = $true)) )),
0.20/0.39	  inference(trivial_inequality_removal,[],[f52])).
0.20/0.39	thf(f52,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (((husband_THFTYPE_IiioI @ X1 @ X0) = $true) | ($false = (husband_THFTYPE_IiioI @ X1 @ X0)) | ($false = $true)) )),
0.20/0.39	  inference(superposition,[],[f47,f37])).
0.20/0.39	thf(f37,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (($true = (wife_THFTYPE_IiioI @ X1 @ X0)) | ($false = (husband_THFTYPE_IiioI @ X0 @ X1))) )),
0.20/0.39	  inference(trivial_inequality_removal,[],[f36])).
0.20/0.39	thf(f36,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (($false = (husband_THFTYPE_IiioI @ X0 @ X1)) | ($true = (wife_THFTYPE_IiioI @ X1 @ X0)) | ($true != $true)) )),
0.20/0.39	  inference(superposition,[],[f28,f23])).
0.20/0.39	thf(f23,plain,(
0.20/0.39	  ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
0.20/0.39	  inference(cnf_transformation,[],[f9])).
0.20/0.39	thf(f9,plain,(
0.20/0.39	  ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
0.20/0.39	  inference(fool_elimination,[],[f8])).
0.20/0.39	thf(f8,plain,(
0.20/0.39	  (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
0.20/0.39	  inference(rectify,[],[f5])).
0.20/0.39	thf(f5,axiom,(
0.20/0.39	  (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.hnu55oj3QH/E---3.1_1443.p',ax)).
0.20/0.39	thf(f28,plain,(
0.20/0.39	  ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ($false = (X0 @ X3 @ X2)) | ((X1 @ X2 @ X3) = $true)) )),
0.20/0.39	  inference(binary_proxy_clausification,[],[f25])).
0.20/0.39	thf(f25,plain,(
0.20/0.39	  ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ((X1 @ X2 @ X3) = (X0 @ X3 @ X2))) )),
0.20/0.39	  inference(cnf_transformation,[],[f20])).
0.20/0.39	thf(f20,plain,(
0.20/0.39	  ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ! [X2,X3] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
0.20/0.39	  inference(ennf_transformation,[],[f11])).
0.20/0.39	thf(f11,plain,(
0.20/0.39	  ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) = $true) => ! [X2,X3] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
0.20/0.39	  inference(fool_elimination,[],[f10])).
0.20/0.39	thf(f10,plain,(
0.20/0.39	  ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) => ! [X2,X3] : ((X0 @ X3 @ X2) <=> (X1 @ X2 @ X3)))),
0.20/0.39	  inference(rectify,[],[f2])).
0.20/0.39	thf(f2,axiom,(
0.20/0.39	  ! [X4 : $i > $i > $o,X3 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X3) => ! [X6,X5] : ((X4 @ X5 @ X6) <=> (X3 @ X6 @ X5)))),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.hnu55oj3QH/E---3.1_1443.p',ax_001)).
0.20/0.39	thf(f47,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (($false = (wife_THFTYPE_IiioI @ X0 @ X1)) | ((husband_THFTYPE_IiioI @ X1 @ X0) = $true)) )),
0.20/0.39	  inference(trivial_inequality_removal,[],[f46])).
0.20/0.39	thf(f46,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (((husband_THFTYPE_IiioI @ X1 @ X0) = $true) | ($true != $true) | ($false = (wife_THFTYPE_IiioI @ X0 @ X1))) )),
0.20/0.39	  inference(superposition,[],[f29,f23])).
0.20/0.39	thf(f29,plain,(
0.20/0.39	  ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ((X1 @ X2 @ X3) = $false) | ($true = (X0 @ X3 @ X2))) )),
0.20/0.39	  inference(binary_proxy_clausification,[],[f25])).
0.20/0.39	thf(f68,plain,(
0.20/0.39	  spl1_3 | spl1_4),
0.20/0.39	  inference(avatar_split_clause,[],[f53,f66,f63])).
0.20/0.39	thf(f53,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (($false = (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false))) | ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)) )),
0.20/0.39	  inference(superposition,[],[f33,f47])).
0.20/0.39	thf(f33,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))) = $false)) )),
0.20/0.39	  inference(beta_eta_normalization,[],[f32])).
0.20/0.39	thf(f32,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))) @ X1))) )),
0.20/0.39	  inference(pi_clausification,[],[f31])).
0.20/0.39	thf(f31,plain,(
0.20/0.39	  ( ! [X0 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))))) )),
0.20/0.39	  inference(not_proxy_clausification,[],[f26])).
0.20/0.39	thf(f26,plain,(
0.20/0.39	  ( ! [X0 : $i] : (((~ (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))))) = $true)) )),
0.20/0.39	  inference(cnf_transformation,[],[f15])).
0.20/0.39	thf(f15,plain,(
0.20/0.39	  ! [X0] : ((~ (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))))) = $true)),
0.20/0.39	  inference(fool_elimination,[],[f14])).
0.20/0.39	thf(f14,plain,(
0.20/0.39	  ! [X0] : (~ ? [X1] : (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))),
0.20/0.39	  inference(rectify,[],[f6])).
0.20/0.39	thf(f6,axiom,(
0.20/0.39	  ! [X8] : (~ ? [X7] : (holdsDuring_THFTYPE_IiooI @ X7 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X8 @ lMax_THFTYPE_i))))),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.hnu55oj3QH/E---3.1_1443.p',ax_003)).
0.20/0.39	thf(f61,plain,(
0.20/0.39	  ~spl1_2),
0.20/0.39	  inference(avatar_contradiction_clause,[],[f60])).
0.20/0.39	thf(f60,plain,(
0.20/0.39	  $false | ~spl1_2),
0.20/0.39	  inference(trivial_inequality_removal,[],[f59])).
0.20/0.39	thf(f59,plain,(
0.20/0.39	  ($false = $true) | ~spl1_2),
0.20/0.39	  inference(backward_demodulation,[],[f48,f58])).
0.20/0.39	thf(f58,plain,(
0.20/0.39	  ( ! [X1 : $i] : (($false = (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false)))) ) | ~spl1_2),
0.20/0.39	  inference(trivial_inequality_removal,[],[f57])).
0.20/0.39	thf(f57,plain,(
0.20/0.39	  ( ! [X1 : $i] : (($false = (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false))) | ($false = $true)) ) | ~spl1_2),
0.20/0.39	  inference(forward_demodulation,[],[f53,f44])).
0.20/0.39	thf(f44,plain,(
0.20/0.39	  ( ! [X0 : $i] : (($false = (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) ) | ~spl1_2),
0.20/0.39	  inference(avatar_component_clause,[],[f43])).
0.20/0.39	thf(f43,plain,(
0.20/0.39	  spl1_2 <=> ! [X0] : ($false = (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))),
0.20/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.20/0.39	thf(f48,plain,(
0.20/0.39	  ((holdsDuring_THFTYPE_IiooI @ (sK0 @ lMax_THFTYPE_i @ $false) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false)) = $true) | ~spl1_2),
0.20/0.39	  inference(backward_demodulation,[],[f35,f44])).
0.20/0.39	thf(f45,plain,(
0.20/0.39	  spl1_1 | spl1_2),
0.20/0.39	  inference(avatar_split_clause,[],[f38,f43,f40])).
0.20/0.39	thf(f38,plain,(
0.20/0.39	  ( ! [X0 : $i,X1 : $i] : (($false = (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) | ((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)) = $false)) )),
0.20/0.39	  inference(superposition,[],[f33,f37])).
0.20/0.39	% SZS output end Proof for E---3.1_1443
0.20/0.39	% (1554)------------------------------
0.20/0.39	% (1554)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.39	% (1554)Termination reason: Refutation
0.20/0.39	
0.20/0.39	% (1554)Memory used [KB]: 5628
0.20/0.39	% (1554)Time elapsed: 0.013 s
0.20/0.39	% (1554)Instructions burned: 11 (million)
0.20/0.39	% (1554)------------------------------
0.20/0.39	% (1554)------------------------------
0.20/0.39	% (1551)Success in time 0.014 s
0.20/0.39	EOF