TSTP Solution File: SYO361^5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SYO361^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.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 : Mon Jun 24 21:01:55 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO361^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n024.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 : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jun 23 08:42:54 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running higher-order theorem proving
% 0.13/0.35 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/benchmark/theBenchmark.p -m 16384 -t 300
% 0.13/0.37 % (5561)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (5561)Instruction limit reached!
% 0.13/0.37 % (5561)------------------------------
% 0.13/0.37 % (5561)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.37 % (5561)Termination reason: Unknown
% 0.13/0.37 % (5561)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (5561)Memory used [KB]: 5500
% 0.13/0.37 % (5561)Time elapsed: 0.004 s
% 0.13/0.37 % (5561)Instructions burned: 3 (million)
% 0.13/0.37 % (5561)------------------------------
% 0.13/0.37 % (5561)------------------------------
% 0.13/0.37 % (5558)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (5560)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 theBenchmark for (2999ds/27Mi)
% 0.13/0.37 % (5559)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 theBenchmark for (2999ds/4Mi)
% 0.13/0.37 % (5562)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (5564)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (5563)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.38 % (5560)Refutation not found, incomplete strategy
% 0.13/0.38 % (5560)------------------------------
% 0.13/0.38 % (5560)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (5560)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (5560)Memory used [KB]: 5500
% 0.13/0.38 % (5560)Time elapsed: 0.004 s
% 0.13/0.38 % (5560)Instructions burned: 1 (million)
% 0.13/0.38 % (5560)------------------------------
% 0.13/0.38 % (5560)------------------------------
% 0.13/0.38 % (5562)Refutation not found, incomplete strategy
% 0.13/0.38 % (5562)------------------------------
% 0.13/0.38 % (5562)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (5562)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (5562)Memory used [KB]: 5500
% 0.13/0.38 % (5562)Time elapsed: 0.004 s
% 0.13/0.38 % (5562)Instructions burned: 1 (million)
% 0.13/0.38 % (5562)------------------------------
% 0.13/0.38 % (5562)------------------------------
% 0.13/0.38 % (5559)Instruction limit reached!
% 0.13/0.38 % (5559)------------------------------
% 0.13/0.38 % (5559)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (5559)Termination reason: Unknown
% 0.13/0.38 % (5559)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (5559)Memory used [KB]: 5500
% 0.13/0.38 % (5559)Time elapsed: 0.005 s
% 0.13/0.38 % (5559)Instructions burned: 4 (million)
% 0.13/0.38 % (5559)------------------------------
% 0.13/0.38 % (5559)------------------------------
% 0.13/0.38 % (5558)First to succeed.
% 0.13/0.38 % (5563)Also succeeded, but the first one will report.
% 0.13/0.38 % (5558)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% 0.13/0.38 thf(func_def_5, type, sK2: $i > $i > $o).
% 0.13/0.38 thf(func_def_6, type, sK3: ($i > $i > $o) > $i).
% 0.13/0.38 thf(func_def_9, type, ph5: !>[X0: $tType]:(X0)).
% 0.13/0.38 thf(f63,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(avatar_sat_refutation,[],[f23,f27,f32,f56,f62])).
% 0.13/0.38 thf(f62,plain,(
% 0.13/0.38 ~spl4_1 | ~spl4_3 | spl4_4),
% 0.13/0.38 inference(avatar_contradiction_clause,[],[f61])).
% 0.13/0.38 thf(f61,plain,(
% 0.13/0.38 $false | (~spl4_1 | ~spl4_3 | spl4_4)),
% 0.13/0.38 inference(subsumption_resolution,[],[f60,f26])).
% 0.13/0.38 thf(f26,plain,(
% 0.13/0.38 ( ! [X3 : $i] : (($true = (sK2 @ X3 @ X3))) ) | ~spl4_3),
% 0.13/0.38 inference(avatar_component_clause,[],[f25])).
% 0.13/0.38 thf(f25,plain,(
% 0.13/0.38 spl4_3 <=> ! [X3] : ($true = (sK2 @ X3 @ X3))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
% 0.13/0.38 thf(f60,plain,(
% 0.13/0.38 ($true != (sK2 @ sK0 @ sK0)) | (~spl4_1 | spl4_4)),
% 0.13/0.38 inference(superposition,[],[f31,f19])).
% 0.13/0.38 thf(f19,plain,(
% 0.13/0.38 (sK1 = sK0) | ~spl4_1),
% 0.13/0.38 inference(avatar_component_clause,[],[f17])).
% 0.13/0.38 thf(f17,plain,(
% 0.13/0.38 spl4_1 <=> (sK1 = sK0)),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.13/0.38 thf(f31,plain,(
% 0.13/0.38 ($true != (sK2 @ sK1 @ sK0)) | spl4_4),
% 0.13/0.38 inference(avatar_component_clause,[],[f29])).
% 0.13/0.38 thf(f29,plain,(
% 0.13/0.38 spl4_4 <=> ($true = (sK2 @ sK1 @ sK0))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
% 0.13/0.38 thf(f56,plain,(
% 0.13/0.38 spl4_1 | ~spl4_2),
% 0.13/0.38 inference(avatar_split_clause,[],[f47,f21,f17])).
% 0.13/0.38 thf(f21,plain,(
% 0.13/0.38 spl4_2 <=> ! [X4 : $i > $i > $o] : (((X4 @ (sK3 @ X4) @ (sK3 @ X4)) != $true) | ($true = (X4 @ sK1 @ sK0)))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.13/0.38 thf(f47,plain,(
% 0.13/0.38 (sK1 = sK0) | ~spl4_2),
% 0.13/0.38 inference(equality_proxy_clausification,[],[f46])).
% 0.13/0.38 thf(f46,plain,(
% 0.13/0.38 ($true = (sK0 = sK1)) | ~spl4_2),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f45])).
% 0.13/0.38 thf(f45,plain,(
% 0.13/0.38 ($true = (sK0 = sK1)) | ($true != $true) | ~spl4_2),
% 0.13/0.38 inference(boolean_simplification,[],[f44])).
% 0.13/0.38 thf(f44,plain,(
% 0.13/0.38 (((sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))))) != $true) | ($true = (sK0 = sK1)) | ~spl4_2),
% 0.13/0.38 inference(beta_eta_normalization,[],[f33])).
% 0.13/0.38 thf(f33,plain,(
% 0.13/0.38 ($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ sK1 @ sK0)) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))))) | ~spl4_2),
% 0.13/0.38 inference(primitive_instantiation,[],[f22])).
% 0.13/0.38 thf(f22,plain,(
% 0.13/0.38 ( ! [X4 : $i > $i > $o] : (((X4 @ (sK3 @ X4) @ (sK3 @ X4)) != $true) | ($true = (X4 @ sK1 @ sK0))) ) | ~spl4_2),
% 0.13/0.38 inference(avatar_component_clause,[],[f21])).
% 0.13/0.38 thf(f32,plain,(
% 0.13/0.38 ~spl4_1 | ~spl4_4),
% 0.13/0.38 inference(avatar_split_clause,[],[f15,f29,f17])).
% 0.13/0.38 thf(f15,plain,(
% 0.13/0.38 ($true != (sK2 @ sK1 @ sK0)) | (sK1 != sK0)),
% 0.13/0.38 inference(cnf_transformation,[],[f12])).
% 0.13/0.38 thf(f12,plain,(
% 0.13/0.38 ((sK1 != sK0) | (($true != (sK2 @ sK1 @ sK0)) & ! [X3] : ($true = (sK2 @ X3 @ X3)))) & ((sK1 = sK0) | ! [X4 : $i > $i > $o] : (($true = (X4 @ sK1 @ sK0)) | ((X4 @ (sK3 @ X4) @ (sK3 @ X4)) != $true)))),
% 0.13/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f11,f10,f9])).
% 0.13/0.38 thf(f9,plain,(
% 0.13/0.38 ? [X0,X1] : (((X0 != X1) | ? [X2 : $i > $i > $o] : (($true != (X2 @ X1 @ X0)) & ! [X3] : ((X2 @ X3 @ X3) = $true))) & ((X0 = X1) | ! [X4 : $i > $i > $o] : (($true = (X4 @ X1 @ X0)) | ? [X5] : ($true != (X4 @ X5 @ X5))))) => (((sK1 != sK0) | ? [X2 : $i > $i > $o] : (($true != (X2 @ sK1 @ sK0)) & ! [X3] : ((X2 @ X3 @ X3) = $true))) & ((sK1 = sK0) | ! [X4 : $i > $i > $o] : (($true = (X4 @ sK1 @ sK0)) | ? [X5] : ($true != (X4 @ X5 @ X5)))))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f10,plain,(
% 0.13/0.38 ? [X2 : $i > $i > $o] : (($true != (X2 @ sK1 @ sK0)) & ! [X3] : ((X2 @ X3 @ X3) = $true)) => (($true != (sK2 @ sK1 @ sK0)) & ! [X3] : ($true = (sK2 @ X3 @ X3)))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f11,plain,(
% 0.13/0.38 ! [X4 : $i > $i > $o] : (? [X5] : ($true != (X4 @ X5 @ X5)) => ((X4 @ (sK3 @ X4) @ (sK3 @ X4)) != $true))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f8,plain,(
% 0.13/0.38 ? [X0,X1] : (((X0 != X1) | ? [X2 : $i > $i > $o] : (($true != (X2 @ X1 @ X0)) & ! [X3] : ((X2 @ X3 @ X3) = $true))) & ((X0 = X1) | ! [X4 : $i > $i > $o] : (($true = (X4 @ X1 @ X0)) | ? [X5] : ($true != (X4 @ X5 @ X5)))))),
% 0.13/0.38 inference(rectify,[],[f7])).
% 0.13/0.38 thf(f7,plain,(
% 0.13/0.38 ? [X0,X1] : (((X0 != X1) | ? [X2 : $i > $i > $o] : (($true != (X2 @ X1 @ X0)) & ! [X3] : ((X2 @ X3 @ X3) = $true))) & ((X0 = X1) | ! [X2 : $i > $i > $o] : (($true = (X2 @ X1 @ X0)) | ? [X3] : ((X2 @ X3 @ X3) != $true))))),
% 0.13/0.38 inference(nnf_transformation,[],[f6])).
% 0.13/0.38 thf(f6,plain,(
% 0.13/0.38 ? [X0,X1] : (! [X2 : $i > $i > $o] : (($true = (X2 @ X1 @ X0)) | ? [X3] : ((X2 @ X3 @ X3) != $true)) <~> (X0 = X1))),
% 0.13/0.38 inference(ennf_transformation,[],[f5])).
% 0.13/0.38 thf(f5,plain,(
% 0.13/0.38 ~! [X1,X0] : (! [X2 : $i > $i > $o] : (! [X3] : ((X2 @ X3 @ X3) = $true) => ($true = (X2 @ X1 @ X0))) <=> (X0 = X1))),
% 0.13/0.38 inference(fool_elimination,[],[f4])).
% 0.13/0.38 thf(f4,plain,(
% 0.13/0.38 ~! [X0,X1] : (! [X2 : $i > $i > $o] : (! [X3] : (X2 @ X3 @ X3) => (X2 @ X1 @ X0)) <=> (X0 = X1))),
% 0.13/0.38 inference(rectify,[],[f2])).
% 0.13/0.38 thf(f2,negated_conjecture,(
% 0.13/0.38 ~! [X1,X0] : (! [X2 : $i > $i > $o] : (! [X3] : (X2 @ X3 @ X3) => (X2 @ X0 @ X1)) <=> (X0 = X1))),
% 0.13/0.38 inference(negated_conjecture,[],[f1])).
% 0.13/0.38 thf(f1,conjecture,(
% 0.13/0.38 ! [X1,X0] : (! [X2 : $i > $i > $o] : (! [X3] : (X2 @ X3 @ X3) => (X2 @ X0 @ X1)) <=> (X0 = X1))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM47)).
% 0.13/0.38 thf(f27,plain,(
% 0.13/0.38 ~spl4_1 | spl4_3),
% 0.13/0.38 inference(avatar_split_clause,[],[f14,f25,f17])).
% 0.13/0.38 thf(f14,plain,(
% 0.13/0.38 ( ! [X3 : $i] : ((sK1 != sK0) | ($true = (sK2 @ X3 @ X3))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f12])).
% 0.13/0.38 thf(f23,plain,(
% 0.13/0.38 spl4_1 | spl4_2),
% 0.13/0.38 inference(avatar_split_clause,[],[f13,f21,f17])).
% 0.13/0.38 thf(f13,plain,(
% 0.13/0.38 ( ! [X4 : $i > $i > $o] : (((X4 @ (sK3 @ X4) @ (sK3 @ X4)) != $true) | (sK1 = sK0) | ($true = (X4 @ sK1 @ sK0))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f12])).
% 0.13/0.38 % SZS output end Proof for theBenchmark
% 0.13/0.38 % (5558)------------------------------
% 0.13/0.38 % (5558)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (5558)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (5558)Memory used [KB]: 5500
% 0.13/0.38 % (5558)Time elapsed: 0.007 s
% 0.13/0.38 % (5558)Instructions burned: 4 (million)
% 0.13/0.38 % (5558)------------------------------
% 0.13/0.38 % (5558)------------------------------
% 0.13/0.38 % (5557)Success in time 0.02 s
%------------------------------------------------------------------------------