TSTP Solution File: CSR144^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:52:17 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:09:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.UCIFVGE3xR/Vampire---4.8_29414
% 0.14/0.38 % (29528)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 Vampire---4 for (2999ds/27Mi)
% 0.14/0.38 % (29533)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (29530)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (29529)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (29531)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.38 % (29529)Instruction limit reached!
% 0.14/0.38 % (29529)------------------------------
% 0.14/0.38 % (29529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29529)Termination reason: Unknown
% 0.14/0.38 % (29532)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.38 % (29529)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (29530)Instruction limit reached!
% 0.14/0.38 % (29530)------------------------------
% 0.14/0.38 % (29530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29530)Termination reason: Unknown
% 0.14/0.38 % (29530)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (29530)Memory used [KB]: 895
% 0.14/0.38 % (29530)Time elapsed: 0.002 s
% 0.14/0.38 % (29530)Instructions burned: 2 (million)
% 0.14/0.38 % (29530)------------------------------
% 0.14/0.38 % (29530)------------------------------
% 0.14/0.38 % (29529)Memory used [KB]: 895
% 0.14/0.38 % (29529)Time elapsed: 0.002 s
% 0.14/0.38 % (29529)Instructions burned: 2 (million)
% 0.14/0.38 % (29529)------------------------------
% 0.14/0.38 % (29529)------------------------------
% 0.14/0.38 % (29531)Refutation not found, incomplete strategy
% 0.14/0.38 % (29531)------------------------------
% 0.14/0.38 % (29531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29531)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (29531)Memory used [KB]: 5500
% 0.14/0.38 % (29531)Time elapsed: 0.002 s
% 0.14/0.38 % (29531)Instructions burned: 2 (million)
% 0.14/0.38 % (29531)------------------------------
% 0.14/0.38 % (29531)------------------------------
% 0.14/0.38 % (29533)Instruction limit reached!
% 0.14/0.38 % (29533)------------------------------
% 0.14/0.38 % (29533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29533)Termination reason: Unknown
% 0.14/0.38 % (29533)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (29533)Memory used [KB]: 5500
% 0.14/0.38 % (29533)Time elapsed: 0.004 s
% 0.14/0.38 % (29533)Instructions burned: 4 (million)
% 0.14/0.38 % (29533)------------------------------
% 0.14/0.38 % (29533)------------------------------
% 0.14/0.38 % (29527)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 Vampire---4 for (2999ds/4Mi)
% 0.14/0.38 % (29526)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.38 % (29527)Instruction limit reached!
% 0.14/0.38 % (29527)------------------------------
% 0.14/0.38 % (29527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29527)Termination reason: Unknown
% 0.14/0.39 % (29528)First to succeed.
% 0.14/0.39 % (29527)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (29527)Memory used [KB]: 5500
% 0.14/0.39 % (29527)Time elapsed: 0.005 s
% 0.14/0.39 % (29527)Instructions burned: 5 (million)
% 0.14/0.39 % (29527)------------------------------
% 0.14/0.39 % (29527)------------------------------
% 0.14/0.39 % (29532)Also succeeded, but the first one will report.
% 0.14/0.39 % (29528)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for Vampire---4
% 0.14/0.39 % SZS output start Proof for Vampire---4
% 0.14/0.39 thf(func_def_0, type, num: $tType).
% 0.14/0.39 thf(func_def_1, type, believes_THFTYPE_IiooI: $i > $o > $o).
% 0.14/0.39 thf(func_def_2, type, considers_THFTYPE_IiooI: $i > $o > $o).
% 0.14/0.39 thf(func_def_3, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 0.14/0.39 thf(func_def_4, type, husband_THFTYPE_IiioI: $i > $i > $o).
% 0.14/0.39 thf(func_def_6, type, wife_THFTYPE_IiioI: $i > $i > $o).
% 0.14/0.39 thf(func_def_7, type, inverse_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_10, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.14/0.39 thf(func_def_16, type, sK0: $o > $i > $i).
% 0.14/0.39 thf(func_def_18, type, ph2: !>[X0: $tType]:(X0)).
% 0.14/0.39 thf(f96,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(avatar_sat_refutation,[],[f45,f59,f64,f77,f95])).
% 0.14/0.39 thf(f95,plain,(
% 0.14/0.39 ~spl1_1 | ~spl1_3),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f94])).
% 0.14/0.39 thf(f94,plain,(
% 0.14/0.39 $false | (~spl1_1 | ~spl1_3)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f90])).
% 0.14/0.39 thf(f90,plain,(
% 0.14/0.39 ($false = $true) | (~spl1_1 | ~spl1_3)),
% 0.14/0.39 inference(backward_demodulation,[],[f41,f55])).
% 0.14/0.39 thf(f55,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $false)) ) | ~spl1_3),
% 0.14/0.39 inference(avatar_component_clause,[],[f54])).
% 0.14/0.39 thf(f54,plain,(
% 0.14/0.39 spl1_3 <=> ! [X0] : ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $false)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.14/0.39 thf(f41,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)) ) | ~spl1_1),
% 0.14/0.39 inference(avatar_component_clause,[],[f40])).
% 0.14/0.39 thf(f40,plain,(
% 0.14/0.39 spl1_1 <=> ! [X0] : ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.14/0.39 thf(f77,plain,(
% 0.14/0.39 spl1_3 | ~spl1_4),
% 0.14/0.39 inference(avatar_split_clause,[],[f76,f57,f54])).
% 0.14/0.39 thf(f57,plain,(
% 0.14/0.39 spl1_4 <=> ! [X1] : ((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)) = $false)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.14/0.39 thf(f76,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $false)) ) | ~spl1_4),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f75])).
% 0.14/0.39 thf(f75,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (($false = $true) | ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $false)) ) | ~spl1_4),
% 0.14/0.39 inference(forward_demodulation,[],[f74,f58])).
% 0.14/0.39 thf(f58,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)) = $false)) ) | ~spl1_4),
% 0.14/0.39 inference(avatar_component_clause,[],[f57])).
% 0.14/0.39 thf(f74,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $false) | ((holdsDuring_THFTYPE_IiooI @ (sK0 @ $true @ lMax_THFTYPE_i) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)) = $true)) )),
% 0.14/0.39 inference(superposition,[],[f35,f51])).
% 0.14/0.39 thf(f51,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((husband_THFTYPE_IiioI @ X1 @ X0) = $true) | ((husband_THFTYPE_IiioI @ X1 @ X0) = $false)) )),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f48])).
% 0.14/0.39 thf(f48,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($false = $true) | ((husband_THFTYPE_IiioI @ X1 @ X0) = $true) | ((husband_THFTYPE_IiioI @ X1 @ X0) = $false)) )),
% 0.14/0.39 inference(superposition,[],[f47,f37])).
% 0.14/0.39 thf(f37,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((wife_THFTYPE_IiioI @ X1 @ X0) = $false) | ((husband_THFTYPE_IiioI @ X0 @ X1) = $true)) )),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f36])).
% 0.14/0.39 thf(f36,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((wife_THFTYPE_IiioI @ X1 @ X0) = $false) | ((husband_THFTYPE_IiioI @ X0 @ X1) = $true)) )),
% 0.14/0.39 inference(superposition,[],[f28,f26])).
% 0.14/0.39 thf(f26,plain,(
% 0.14/0.39 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f9])).
% 0.14/0.39 thf(f9,plain,(
% 0.14/0.39 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 0.14/0.39 inference(fool_elimination,[],[f8])).
% 0.14/0.39 thf(f8,plain,(
% 0.14/0.39 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 0.14/0.39 inference(rectify,[],[f1])).
% 0.14/0.39 thf(f1,axiom,(
% 0.14/0.39 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.UCIFVGE3xR/Vampire---4.8_29414',ax)).
% 0.14/0.39 thf(f28,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true) | ((X1 @ X2 @ X3) = $true) | ((X0 @ X3 @ X2) = $false)) )),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f27])).
% 0.14/0.39 thf(f27,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((X1 @ X2 @ X3) = (X0 @ X3 @ X2)) | ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f18])).
% 0.14/0.39 thf(f18,plain,(
% 0.14/0.39 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true) | ! [X2,X3] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
% 0.14/0.39 inference(ennf_transformation,[],[f13])).
% 0.14/0.39 thf(f13,plain,(
% 0.14/0.39 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) = $true) => ! [X2,X3] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
% 0.14/0.39 inference(fool_elimination,[],[f12])).
% 0.14/0.39 thf(f12,plain,(
% 0.14/0.39 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2,X3] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 0.14/0.39 inference(rectify,[],[f2])).
% 0.14/0.39 thf(f2,axiom,(
% 0.14/0.39 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2,X3] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.UCIFVGE3xR/Vampire---4.8_29414',ax_001)).
% 0.14/0.39 thf(f47,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((wife_THFTYPE_IiioI @ X1 @ X0) = $true) | ((husband_THFTYPE_IiioI @ X0 @ X1) = $false)) )),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f46])).
% 0.14/0.39 thf(f46,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((husband_THFTYPE_IiioI @ X0 @ X1) = $false) | ((wife_THFTYPE_IiioI @ X1 @ X0) = $true) | ($true != $true)) )),
% 0.14/0.39 inference(superposition,[],[f29,f26])).
% 0.14/0.39 thf(f29,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true) | ((X1 @ X2 @ X3) = $false) | ((X0 @ X3 @ X2) = $true)) )),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f27])).
% 0.14/0.39 thf(f35,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (sK0 @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) @ lMax_THFTYPE_i) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) = $true)) )),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f34])).
% 0.14/0.39 thf(f34,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (sK0 @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) @ lMax_THFTYPE_i) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) = $true) | ($true != $true)) )),
% 0.14/0.39 inference(superposition,[],[f24,f30])).
% 0.14/0.39 thf(f30,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)) = $true)) )),
% 0.14/0.39 inference(not_proxy_clausification,[],[f23])).
% 0.14/0.39 thf(f23,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) != $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f19])).
% 0.14/0.39 thf(f19,plain,(
% 0.14/0.39 ! [X0] : ((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) != $true)),
% 0.14/0.39 inference(ennf_transformation,[],[f15])).
% 0.14/0.39 thf(f15,plain,(
% 0.14/0.39 ~? [X0] : ((~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0))) = $true)),
% 0.14/0.39 inference(fool_elimination,[],[f14])).
% 0.14/0.39 thf(f14,plain,(
% 0.14/0.39 ~? [X0] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))),
% 0.14/0.39 inference(rectify,[],[f6])).
% 0.14/0.39 thf(f6,negated_conjecture,(
% 0.14/0.39 ~? [X8] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X8)))),
% 0.14/0.39 inference(negated_conjecture,[],[f5])).
% 0.14/0.39 thf(f5,conjecture,(
% 0.14/0.39 ? [X8] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X8)))),
% 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.UCIFVGE3xR/Vampire---4.8_29414',con)).
% 0.14/0.39 thf(f24,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $o] : (((believes_THFTYPE_IiooI @ X0 @ X1) != $true) | ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X0 @ X1)) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f22])).
% 0.14/0.39 thf(f22,plain,(
% 0.14/0.39 ! [X0,X1 : $o] : (((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X0 @ X1)) = $true) | ((believes_THFTYPE_IiooI @ X0 @ X1) != $true))),
% 0.14/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21])).
% 0.14/0.39 thf(f21,plain,(
% 0.14/0.39 ! [X0,X1 : $o] : (? [X2] : ((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X0 @ X1)) = $true) => ((holdsDuring_THFTYPE_IiooI @ (sK0 @ X1 @ X0) @ (considers_THFTYPE_IiooI @ X0 @ X1)) = $true))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f20,plain,(
% 0.14/0.39 ! [X0,X1 : $o] : (? [X2] : ((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X0 @ X1)) = $true) | ((believes_THFTYPE_IiooI @ X0 @ X1) != $true))),
% 0.14/0.39 inference(ennf_transformation,[],[f11])).
% 0.14/0.39 thf(f11,plain,(
% 0.14/0.39 ! [X0,X1 : $o] : (((believes_THFTYPE_IiooI @ X0 @ X1) = $true) => ? [X2] : ((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X0 @ X1)) = $true))),
% 0.14/0.39 inference(fool_elimination,[],[f10])).
% 0.14/0.39 thf(f10,plain,(
% 0.14/0.39 ! [X0,X1 : $o] : ((believes_THFTYPE_IiooI @ X0 @ X1) => ? [X2] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X0 @ X1)))),
% 0.14/0.39 inference(rectify,[],[f3])).
% 0.14/0.39 thf(f3,axiom,(
% 0.14/0.39 ! [X5,X4 : $o] : ((believes_THFTYPE_IiooI @ X5 @ X4) => ? [X6] : (holdsDuring_THFTYPE_IiooI @ X6 @ (considers_THFTYPE_IiooI @ X5 @ X4)))),
% 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.UCIFVGE3xR/Vampire---4.8_29414',ax_002)).
% 0.14/0.39 thf(f64,plain,(
% 0.14/0.39 ~spl1_2 | ~spl1_3),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f63])).
% 0.14/0.39 thf(f63,plain,(
% 0.14/0.39 $false | (~spl1_2 | ~spl1_3)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f62])).
% 0.14/0.39 thf(f62,plain,(
% 0.14/0.39 ($false = $true) | (~spl1_2 | ~spl1_3)),
% 0.14/0.39 inference(forward_demodulation,[],[f60,f44])).
% 0.14/0.39 thf(f44,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($false = (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false)))) ) | ~spl1_2),
% 0.14/0.39 inference(avatar_component_clause,[],[f43])).
% 0.14/0.39 thf(f43,plain,(
% 0.14/0.39 spl1_2 <=> ! [X1] : ($false = (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false)))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.14/0.39 thf(f60,plain,(
% 0.14/0.39 ($true = (holdsDuring_THFTYPE_IiooI @ (sK0 @ $false @ lMax_THFTYPE_i) @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false))) | ~spl1_3),
% 0.14/0.39 inference(backward_demodulation,[],[f35,f55])).
% 0.14/0.39 thf(f59,plain,(
% 0.14/0.39 spl1_3 | spl1_4),
% 0.14/0.39 inference(avatar_split_clause,[],[f49,f57,f54])).
% 0.14/0.39 thf(f49,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true)) = $false) | ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $false)) )),
% 0.14/0.39 inference(superposition,[],[f33,f47])).
% 0.14/0.39 thf(f33,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))) = $false)) )),
% 0.14/0.39 inference(beta_eta_normalization,[],[f32])).
% 0.14/0.39 thf(f32,plain,(
% 0.14/0.39 ( ! [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))) )),
% 0.14/0.39 inference(pi_clausification,[],[f31])).
% 0.14/0.39 thf(f31,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))))) )),
% 0.14/0.39 inference(not_proxy_clausification,[],[f25])).
% 0.14/0.39 thf(f25,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (($true = (~ (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))))))) )),
% 0.14/0.39 inference(cnf_transformation,[],[f17])).
% 0.14/0.39 thf(f17,plain,(
% 0.14/0.39 ! [X0] : ($true = (~ (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)))))))),
% 0.14/0.39 inference(fool_elimination,[],[f16])).
% 0.14/0.39 thf(f16,plain,(
% 0.14/0.39 ! [X0] : (~ ? [X1] : (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))),
% 0.14/0.39 inference(rectify,[],[f4])).
% 0.14/0.39 thf(f4,axiom,(
% 0.14/0.39 ! [X7] : (~ ? [X8] : (holdsDuring_THFTYPE_IiooI @ X8 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X7 @ lMax_THFTYPE_i))))),
% 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.UCIFVGE3xR/Vampire---4.8_29414',ax_003)).
% 0.14/0.39 thf(f45,plain,(
% 0.14/0.39 spl1_1 | spl1_2),
% 0.14/0.39 inference(avatar_split_clause,[],[f38,f43,f40])).
% 0.14/0.39 thf(f38,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : (($false = (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false))) | ((husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0) = $true)) )),
% 0.14/0.39 inference(superposition,[],[f33,f37])).
% 0.14/0.39 % SZS output end Proof for Vampire---4
% 0.14/0.39 % (29528)------------------------------
% 0.14/0.39 % (29528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29528)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (29528)Memory used [KB]: 5628
% 0.14/0.39 % (29528)Time elapsed: 0.010 s
% 0.14/0.39 % (29528)Instructions burned: 11 (million)
% 0.14/0.39 % (29528)------------------------------
% 0.14/0.39 % (29528)------------------------------
% 0.14/0.39 % (29525)Success in time 0.02 s
% 0.14/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------