TSTP Solution File: SYO301^5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO301^5 : 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 : n027.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 09:10:52 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
% 0.06/0.12  % Problem    : SYO301^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 10:55:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (10974)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (10981)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)
% 0.13/0.37  % (10977)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)
% 0.13/0.37  % (10979)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (10976)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (10978)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  % (10980)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37  % (10977)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37  % (10978)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37  % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.13/0.37  
% 0.13/0.37  User error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38  % (10979)Also succeeded, but the first one will report.
% 0.13/0.38  % (10977)First to succeed.
% 0.13/0.38  % (10980)Also succeeded, but the first one will report.
% 0.13/0.38  % (10975)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38  % (10977)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10974"
% 0.13/0.38  % Exception at run slice level
% 0.13/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38  % (10977)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(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.13/0.38  thf(func_def_0, type, f: $i > $i).
% 0.13/0.38  thf(func_def_1, type, cP: $i > $o).
% 0.13/0.38  thf(func_def_6, type, sK0: ($i > $o) > $i).
% 0.13/0.38  thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.13/0.38  thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.13/0.38  thf(func_def_10, type, vAND: $o > $o > $o).
% 0.13/0.38  thf(func_def_11, type, vOR: $o > $o > $o).
% 0.13/0.38  thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.13/0.38  thf(func_def_13, type, vNOT: $o > $o).
% 0.13/0.38  thf(func_def_14, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.38  thf(f59,plain,(
% 0.13/0.38    $false),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f56])).
% 0.13/0.38  thf(f56,plain,(
% 0.13/0.38    ($true != $true)),
% 0.13/0.38    inference(superposition,[],[f55,f10])).
% 0.13/0.38  thf(f10,plain,(
% 0.13/0.38    (vAPP($i,$o,cP,vAPP($i,$i,f,b)) = $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f9])).
% 0.13/0.38  thf(f9,plain,(
% 0.13/0.38    ! [X0,X1 : $i > $o] : ((vAPP($i,$o,X1,vAPP($i,$i,f,X0)) != $true) | (($true != vAPP($i,$o,cP,vAPP(sTfun($i,$o),$i,sK0,X1))) & ($true = vAPP($i,$o,X1,vAPP(sTfun($i,$o),$i,sK0,X1))))) & (vAPP($i,$o,cP,vAPP($i,$i,f,b)) = $true)),
% 0.13/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
% 0.13/0.38  thf(f8,plain,(
% 0.13/0.38    ! [X1 : $i > $o] : (? [X2] : ((vAPP($i,$o,cP,X2) != $true) & (vAPP($i,$o,X1,X2) = $true)) => (($true != vAPP($i,$o,cP,vAPP(sTfun($i,$o),$i,sK0,X1))) & ($true = vAPP($i,$o,X1,vAPP(sTfun($i,$o),$i,sK0,X1)))))),
% 0.13/0.38    introduced(choice_axiom,[])).
% 0.13/0.38  thf(f7,plain,(
% 0.13/0.38    ! [X0,X1 : $i > $o] : ((vAPP($i,$o,X1,vAPP($i,$i,f,X0)) != $true) | ? [X2] : ((vAPP($i,$o,cP,X2) != $true) & (vAPP($i,$o,X1,X2) = $true))) & (vAPP($i,$o,cP,vAPP($i,$i,f,b)) = $true)),
% 0.13/0.38    inference(ennf_transformation,[],[f6])).
% 0.13/0.38  thf(f6,plain,(
% 0.13/0.38    ~((vAPP($i,$o,cP,vAPP($i,$i,f,b)) = $true) => ? [X0,X1 : $i > $o] : ((vAPP($i,$o,X1,vAPP($i,$i,f,X0)) = $true) & ! [X2] : ((vAPP($i,$o,X1,X2) = $true) => (vAPP($i,$o,cP,X2) = $true))))),
% 0.13/0.38    inference(fool_elimination,[],[f5])).
% 0.13/0.38  thf(f5,plain,(
% 0.13/0.38    ~(vAPP($i,$o,cP,vAPP($i,$i,f,b)) => ? [X0,X1 : $i > $o] : (vAPP($i,$o,X1,vAPP($i,$i,f,X0)) & ! [X2] : (vAPP($i,$o,X1,X2) => vAPP($i,$o,cP,X2))))),
% 0.13/0.38    inference(rectify,[],[f2])).
% 0.13/0.38  thf(f2,negated_conjecture,(
% 0.13/0.38    ~(vAPP($i,$o,cP,vAPP($i,$i,f,b)) => ? [X0,X1 : $i > $o] : (vAPP($i,$o,X1,vAPP($i,$i,f,X0)) & ! [X2] : (vAPP($i,$o,X1,X2) => vAPP($i,$o,cP,X2))))),
% 0.13/0.38    inference(negated_conjecture,[],[f1])).
% 0.13/0.38  thf(f1,conjecture,(
% 0.13/0.38    vAPP($i,$o,cP,vAPP($i,$i,f,b)) => ? [X0,X1 : $i > $o] : (vAPP($i,$o,X1,vAPP($i,$i,f,X0)) & ! [X2] : (vAPP($i,$o,X1,X2) => vAPP($i,$o,cP,X2)))),
% 0.13/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE5)).
% 0.13/0.38  thf(f55,plain,(
% 0.13/0.38    ( ! [X0 : $i] : (($true != vAPP($i,$o,cP,vAPP($i,$i,f,X0)))) )),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f52])).
% 0.13/0.38  thf(f52,plain,(
% 0.13/0.38    ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,cP,vAPP($i,$i,f,X0)))) )),
% 0.13/0.38    inference(superposition,[],[f12,f48])).
% 0.13/0.38  thf(f48,plain,(
% 0.13/0.38    ($true = vAPP($i,$o,cP,vAPP(sTfun($i,$o),$i,sK0,cP)))),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f45])).
% 0.13/0.38  thf(f45,plain,(
% 0.13/0.38    ($true != $true) | ($true = vAPP($i,$o,cP,vAPP(sTfun($i,$o),$i,sK0,cP)))),
% 0.13/0.38    inference(superposition,[],[f11,f10])).
% 0.13/0.38  thf(f11,plain,(
% 0.13/0.38    ( ! [X0 : $i,X1 : $i > $o] : ((vAPP($i,$o,X1,vAPP($i,$i,f,X0)) != $true) | ($true = vAPP($i,$o,X1,vAPP(sTfun($i,$o),$i,sK0,X1)))) )),
% 0.13/0.38    inference(cnf_transformation,[],[f9])).
% 0.13/0.38  thf(f12,plain,(
% 0.13/0.38    ( ! [X0 : $i,X1 : $i > $o] : (($true != vAPP($i,$o,cP,vAPP(sTfun($i,$o),$i,sK0,X1))) | (vAPP($i,$o,X1,vAPP($i,$i,f,X0)) != $true)) )),
% 0.13/0.38    inference(cnf_transformation,[],[f9])).
% 0.13/0.38  % SZS output end Proof for theBenchmark
% 0.13/0.38  % (10977)------------------------------
% 0.13/0.38  % (10977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38  % (10977)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (10977)Memory used [KB]: 764
% 0.13/0.38  % (10977)Time elapsed: 0.006 s
% 0.13/0.38  % (10977)Instructions burned: 5 (million)
% 0.13/0.38  % (10974)Success in time 0.007 s
%------------------------------------------------------------------------------