TSTP Solution File: SYO149^5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO149^5 : 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 : n023.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 09:10:26 EDT 2024

% Result   : Theorem 0.22s 0.38s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO149^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 10:56:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (9043)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37  % (9045)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.37  % (9046)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)
% 0.22/0.37  % (9047)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.37  % (9048)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.37  % (9044)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.37  % (9049)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.37  % (9050)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)
% 0.22/0.37  % (9047)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.37  % (9046)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.37  % Exception at run slice level% Exception at run slice level
% 0.22/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.37  % Exception at run slice level
% 0.22/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.37  
% 0.22/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.37  % Exception at run slice level
% 0.22/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.38  % (9048)First to succeed.
% 0.22/0.38  % (9046)Also succeeded, but the first one will report.
% 0.22/0.38  % (9049)Also succeeded, but the first one will report.
% 0.22/0.38  % (9048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9043"
% 0.22/0.38  % (9048)Refutation found. Thanks to Tanya!
% 0.22/0.38  % SZS status Theorem for theBenchmark
% 0.22/0.38  % SZS output start Proof for theBenchmark
% 0.22/0.38  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.38  thf(func_def_1, type, f: $i > $i).
% 0.22/0.38  thf(func_def_2, type, cP: $i > $o).
% 0.22/0.38  thf(func_def_3, type, cQ: $i > $o).
% 0.22/0.38  thf(func_def_7, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.22/0.38  thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.22/0.38  thf(func_def_9, type, vAND: $o > $o > $o).
% 0.22/0.38  thf(func_def_10, type, vOR: $o > $o > $o).
% 0.22/0.38  thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.22/0.38  thf(func_def_12, type, vNOT: $o > $o).
% 0.22/0.38  thf(func_def_13, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.38  thf(f64,plain,(
% 0.22/0.38    $false),
% 0.22/0.38    inference(trivial_inequality_removal,[],[f63])).
% 0.22/0.38  thf(f63,plain,(
% 0.22/0.38    ($true = $false)),
% 0.22/0.38    inference(forward_demodulation,[],[f62,f24])).
% 0.22/0.38  thf(f24,plain,(
% 0.22/0.38    (vAPP($i,$o,cP,vAPP($i,$i,f,a)) = $false)),
% 0.22/0.38    inference(trivial_inequality_removal,[],[f22])).
% 0.22/0.38  thf(f22,plain,(
% 0.22/0.38    ($true != $true) | (vAPP($i,$o,cP,vAPP($i,$i,f,a)) = $false)),
% 0.22/0.38    inference(superposition,[],[f12,f4])).
% 0.22/0.38  thf(f4,plain,(
% 0.22/0.38    ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.22/0.38    introduced(fool_axiom,[])).
% 0.22/0.38  thf(f12,plain,(
% 0.22/0.38    (vAPP($i,$o,cP,vAPP($i,$i,f,a)) != $true)),
% 0.22/0.38    inference(cnf_transformation,[],[f8])).
% 0.22/0.38  thf(f8,plain,(
% 0.22/0.38    (vAPP($i,$o,cP,vAPP($i,$i,f,a)) != $true) & (vAPP($i,$o,cP,a) = $true) & ! [X0] : ((vAPP($i,$o,cP,X0) = $true) | ($true != vAPP($i,$o,cQ,X0))) & ! [X1] : (($true = vAPP($i,$o,cQ,vAPP($i,$i,f,X1))) | (vAPP($i,$o,cP,X1) != $true))),
% 0.22/0.38    inference(flattening,[],[f7])).
% 0.22/0.38  thf(f7,plain,(
% 0.22/0.38    (vAPP($i,$o,cP,vAPP($i,$i,f,a)) != $true) & ((vAPP($i,$o,cP,a) = $true) & ! [X0] : ((vAPP($i,$o,cP,X0) = $true) | ($true != vAPP($i,$o,cQ,X0))) & ! [X1] : (($true = vAPP($i,$o,cQ,vAPP($i,$i,f,X1))) | (vAPP($i,$o,cP,X1) != $true)))),
% 0.22/0.38    inference(ennf_transformation,[],[f6])).
% 0.22/0.38  thf(f6,plain,(
% 0.22/0.38    ~(((vAPP($i,$o,cP,a) = $true) & ! [X0] : (($true = vAPP($i,$o,cQ,X0)) => (vAPP($i,$o,cP,X0) = $true)) & ! [X1] : ((vAPP($i,$o,cP,X1) = $true) => ($true = vAPP($i,$o,cQ,vAPP($i,$i,f,X1))))) => (vAPP($i,$o,cP,vAPP($i,$i,f,a)) = $true))),
% 0.22/0.38    inference(fool_elimination,[],[f5])).
% 0.22/0.38  thf(f5,plain,(
% 0.22/0.38    ~((vAPP($i,$o,cP,a) & ! [X0] : (vAPP($i,$o,cQ,X0) => vAPP($i,$o,cP,X0)) & ! [X1] : (vAPP($i,$o,cP,X1) => vAPP($i,$o,cQ,vAPP($i,$i,f,X1)))) => vAPP($i,$o,cP,vAPP($i,$i,f,a)))),
% 0.22/0.38    inference(rectify,[],[f2])).
% 0.22/0.38  thf(f2,negated_conjecture,(
% 0.22/0.38    ~((vAPP($i,$o,cP,a) & ! [X1] : (vAPP($i,$o,cQ,X1) => vAPP($i,$o,cP,X1)) & ! [X0] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cQ,vAPP($i,$i,f,X0)))) => vAPP($i,$o,cP,vAPP($i,$i,f,a)))),
% 0.22/0.38    inference(negated_conjecture,[],[f1])).
% 0.22/0.38  thf(f1,conjecture,(
% 0.22/0.38    (vAPP($i,$o,cP,a) & ! [X1] : (vAPP($i,$o,cQ,X1) => vAPP($i,$o,cP,X1)) & ! [X0] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cQ,vAPP($i,$i,f,X0)))) => vAPP($i,$o,cP,vAPP($i,$i,f,a))),
% 0.22/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIMPLEPQ)).
% 0.22/0.38  thf(f62,plain,(
% 0.22/0.38    (vAPP($i,$o,cP,vAPP($i,$i,f,a)) = $true)),
% 0.22/0.38    inference(trivial_inequality_removal,[],[f57])).
% 0.22/0.38  thf(f57,plain,(
% 0.22/0.38    ($true = $false) | (vAPP($i,$o,cP,vAPP($i,$i,f,a)) = $true)),
% 0.22/0.38    inference(superposition,[],[f56,f47])).
% 0.22/0.38  thf(f47,plain,(
% 0.22/0.38    ( ! [X0 : $i] : (($false = vAPP($i,$o,cQ,X0)) | (vAPP($i,$o,cP,X0) = $true)) )),
% 0.22/0.38    inference(trivial_inequality_removal,[],[f46])).
% 0.22/0.38  thf(f46,plain,(
% 0.22/0.38    ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cP,X0) = $true) | ($false = vAPP($i,$o,cQ,X0))) )),
% 0.22/0.38    inference(superposition,[],[f10,f4])).
% 0.22/0.38  thf(f10,plain,(
% 0.22/0.38    ( ! [X0 : $i] : (($true != vAPP($i,$o,cQ,X0)) | (vAPP($i,$o,cP,X0) = $true)) )),
% 0.22/0.38    inference(cnf_transformation,[],[f8])).
% 0.22/0.38  thf(f56,plain,(
% 0.22/0.38    ($true = vAPP($i,$o,cQ,vAPP($i,$i,f,a)))),
% 0.22/0.38    inference(trivial_inequality_removal,[],[f52])).
% 0.22/0.38  thf(f52,plain,(
% 0.22/0.38    ($true != $true) | ($true = vAPP($i,$o,cQ,vAPP($i,$i,f,a)))),
% 0.22/0.38    inference(superposition,[],[f9,f11])).
% 0.22/0.38  thf(f11,plain,(
% 0.22/0.38    (vAPP($i,$o,cP,a) = $true)),
% 0.22/0.38    inference(cnf_transformation,[],[f8])).
% 0.22/0.38  thf(f9,plain,(
% 0.22/0.38    ( ! [X1 : $i] : ((vAPP($i,$o,cP,X1) != $true) | ($true = vAPP($i,$o,cQ,vAPP($i,$i,f,X1)))) )),
% 0.22/0.38    inference(cnf_transformation,[],[f8])).
% 0.22/0.38  % SZS output end Proof for theBenchmark
% 0.22/0.38  % (9048)------------------------------
% 0.22/0.38  % (9048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38  % (9048)Termination reason: Refutation
% 0.22/0.38  
% 0.22/0.38  % (9048)Memory used [KB]: 763
% 0.22/0.38  % (9048)Time elapsed: 0.005 s
% 0.22/0.38  % (9048)Instructions burned: 5 (million)
% 0.22/0.38  % (9043)Success in time 0.006 s
%------------------------------------------------------------------------------