TSTP Solution File: SYO133^5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO133^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% 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 : Tue May 21 09:10:23 EDT 2024

% Result   : Theorem 0.19s 0.37s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO133^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 09:36:23 EDT 2024
% 0.19/0.35  % CPUTime    : 
% 0.19/0.35  % (6097)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.37  % (6099)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.37  % (6100)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.19/0.37  % (6101)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.37  % (6102)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.37  % (6103)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.37  % (6098)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.37  % (6104)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.37  % (6100)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.37  % (6101)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.37  % Exception at run slice level% Exception at run slice level
% 0.19/0.37  % Exception at run slice levelUser error: 
% 0.19/0.37  Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.37  
% 0.19/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.37  % Exception at run slice level
% 0.19/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.37  % (6100)Also succeeded, but the first one will report.
% 0.19/0.37  % (6103)Also succeeded, but the first one will report.
% 0.19/0.37  % (6102)First to succeed.
% 0.19/0.37  % (6102)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6097"
% 0.19/0.37  % (6102)Refutation found. Thanks to Tanya!
% 0.19/0.37  % SZS status Theorem for theBenchmark
% 0.19/0.37  % SZS output start Proof for theBenchmark
% 0.19/0.37  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.37  thf(func_def_0, type, cP2: $i > $o).
% 0.19/0.37  thf(func_def_1, type, cP1: $i > $o).
% 0.19/0.37  thf(func_def_5, type, sK0: $i > $i).
% 0.19/0.37  thf(func_def_6, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.19/0.37  thf(func_def_7, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.19/0.37  thf(func_def_8, type, vAND: $o > $o > $o).
% 0.19/0.37  thf(func_def_9, type, vOR: $o > $o > $o).
% 0.19/0.37  thf(func_def_10, type, vIMP: $o > $o > $o).
% 0.19/0.37  thf(func_def_11, type, vNOT: $o > $o).
% 0.19/0.37  thf(func_def_12, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.19/0.37  thf(f52,plain,(
% 0.19/0.37    $false),
% 0.19/0.37    inference(trivial_inequality_removal,[],[f49])).
% 0.19/0.37  thf(f49,plain,(
% 0.19/0.37    ($true != $true)),
% 0.19/0.37    inference(superposition,[],[f48,f11])).
% 0.19/0.37  thf(f11,plain,(
% 0.19/0.37    ( ! [X0 : $i] : (($true = vAPP($i,$o,cP1,vAPP($i,$i,sK0,X0)))) )),
% 0.19/0.37    inference(cnf_transformation,[],[f10])).
% 0.19/0.37  thf(f10,plain,(
% 0.19/0.37    ! [X0] : ((vAPP($i,$o,cP2,X0) != $true) & (($true = vAPP($i,$o,cP2,vAPP($i,$i,sK0,X0))) | (vAPP($i,$o,cP1,X0) != $true)) & ($true = vAPP($i,$o,cP1,vAPP($i,$i,sK0,X0))))),
% 0.19/0.37    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9])).
% 0.19/0.37  thf(f9,plain,(
% 0.19/0.37    ! [X0] : (? [X1] : ((vAPP($i,$o,cP2,X0) != $true) & ((vAPP($i,$o,cP2,X1) = $true) | (vAPP($i,$o,cP1,X0) != $true)) & (vAPP($i,$o,cP1,X1) = $true)) => ((vAPP($i,$o,cP2,X0) != $true) & (($true = vAPP($i,$o,cP2,vAPP($i,$i,sK0,X0))) | (vAPP($i,$o,cP1,X0) != $true)) & ($true = vAPP($i,$o,cP1,vAPP($i,$i,sK0,X0)))))),
% 0.19/0.37    introduced(choice_axiom,[])).
% 0.19/0.37  thf(f8,plain,(
% 0.19/0.37    ! [X0] : ? [X1] : ((vAPP($i,$o,cP2,X0) != $true) & ((vAPP($i,$o,cP2,X1) = $true) | (vAPP($i,$o,cP1,X0) != $true)) & (vAPP($i,$o,cP1,X1) = $true))),
% 0.19/0.37    inference(flattening,[],[f7])).
% 0.19/0.37  thf(f7,plain,(
% 0.19/0.37    ! [X0] : ? [X1] : ((vAPP($i,$o,cP2,X0) != $true) & (((vAPP($i,$o,cP2,X1) = $true) | (vAPP($i,$o,cP1,X0) != $true)) & (vAPP($i,$o,cP1,X1) = $true)))),
% 0.19/0.37    inference(ennf_transformation,[],[f6])).
% 0.19/0.37  thf(f6,plain,(
% 0.19/0.37    ~? [X0] : ! [X1] : ((((vAPP($i,$o,cP1,X0) = $true) => (vAPP($i,$o,cP2,X1) = $true)) & (vAPP($i,$o,cP1,X1) = $true)) => (vAPP($i,$o,cP2,X0) = $true))),
% 0.19/0.37    inference(fool_elimination,[],[f5])).
% 0.19/0.37  thf(f5,plain,(
% 0.19/0.37    ~? [X0] : ! [X1] : (((vAPP($i,$o,cP1,X0) => vAPP($i,$o,cP2,X1)) & vAPP($i,$o,cP1,X1)) => vAPP($i,$o,cP2,X0))),
% 0.19/0.37    inference(rectify,[],[f2])).
% 0.19/0.37  thf(f2,negated_conjecture,(
% 0.19/0.37    ~? [X0] : ! [X1] : (((vAPP($i,$o,cP1,X0) => vAPP($i,$o,cP2,X1)) & vAPP($i,$o,cP1,X1)) => vAPP($i,$o,cP2,X0))),
% 0.19/0.37    inference(negated_conjecture,[],[f1])).
% 0.19/0.37  thf(f1,conjecture,(
% 0.19/0.37    ? [X0] : ! [X1] : (((vAPP($i,$o,cP1,X0) => vAPP($i,$o,cP2,X1)) & vAPP($i,$o,cP1,X1)) => vAPP($i,$o,cP2,X0))),
% 0.19/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBAFFLER2)).
% 0.19/0.37  thf(f48,plain,(
% 0.19/0.37    ( ! [X0 : $i] : ((vAPP($i,$o,cP1,X0) != $true)) )),
% 0.19/0.37    inference(trivial_inequality_removal,[],[f47])).
% 0.19/0.37  thf(f47,plain,(
% 0.19/0.37    ( ! [X0 : $i] : (($true = $false) | (vAPP($i,$o,cP1,X0) != $true)) )),
% 0.19/0.37    inference(forward_demodulation,[],[f12,f25])).
% 0.19/0.37  thf(f25,plain,(
% 0.19/0.37    ( ! [X0 : $i] : ((vAPP($i,$o,cP2,X0) = $false)) )),
% 0.19/0.37    inference(trivial_inequality_removal,[],[f23])).
% 0.19/0.37  thf(f23,plain,(
% 0.19/0.37    ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cP2,X0) = $false)) )),
% 0.19/0.37    inference(superposition,[],[f13,f4])).
% 0.19/0.37  thf(f4,plain,(
% 0.19/0.37    ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.19/0.37    introduced(fool_axiom,[])).
% 0.19/0.37  thf(f13,plain,(
% 0.19/0.37    ( ! [X0 : $i] : ((vAPP($i,$o,cP2,X0) != $true)) )),
% 0.19/0.37    inference(cnf_transformation,[],[f10])).
% 0.19/0.37  thf(f12,plain,(
% 0.19/0.37    ( ! [X0 : $i] : (($true = vAPP($i,$o,cP2,vAPP($i,$i,sK0,X0))) | (vAPP($i,$o,cP1,X0) != $true)) )),
% 0.19/0.37    inference(cnf_transformation,[],[f10])).
% 0.19/0.37  % SZS output end Proof for theBenchmark
% 0.19/0.37  % (6102)------------------------------
% 0.19/0.37  % (6102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.37  % (6102)Termination reason: Refutation
% 0.19/0.37  
% 0.19/0.37  % (6102)Memory used [KB]: 762
% 0.19/0.37  % (6102)Time elapsed: 0.004 s
% 0.19/0.37  % (6102)Instructions burned: 4 (million)
% 0.19/0.37  % (6097)Success in time 0.005 s
%------------------------------------------------------------------------------