TSTP Solution File: SYO289^5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO289^5 : 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 : n028.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 09:10:50 EDT 2024

% Result   : Theorem 0.16s 0.40s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SYO289^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37  % Computer : n028.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 09:39:38 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.38  % (5173)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (5176)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)
% 0.16/0.40  % (5174)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.40  % (5177)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.40  % (5178)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.40  % (5175)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.40  % (5179)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.40  % (5177)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.40  % (5176)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.40  % Exception at run slice level% Exception at run slice level
% 0.16/0.40  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.40  % Exception at run slice level
% 0.16/0.40  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.40  
% 0.16/0.40  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.40  % (5180)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)
% 0.16/0.40  % (5179)Also succeeded, but the first one will report.
% 0.16/0.40  % (5176)Also succeeded, but the first one will report.
% 0.16/0.40  % (5178)First to succeed.
% 0.16/0.40  % Exception at run slice level
% 0.16/0.40  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.40  % (5178)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5173"
% 0.16/0.40  % (5178)Refutation found. Thanks to Tanya!
% 0.16/0.40  % SZS status Theorem for theBenchmark
% 0.16/0.40  % SZS output start Proof for theBenchmark
% 0.16/0.40  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.16/0.40  thf(func_def_3, type, sK0: $i > $i > $o).
% 0.16/0.40  thf(func_def_5, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.16/0.40  thf(func_def_6, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.16/0.40  thf(func_def_7, type, vAND: $o > $o > $o).
% 0.16/0.40  thf(func_def_8, type, vOR: $o > $o > $o).
% 0.16/0.40  thf(func_def_9, type, vIMP: $o > $o > $o).
% 0.16/0.40  thf(func_def_10, type, vNOT: $o > $o).
% 0.16/0.40  thf(func_def_11, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.16/0.40  thf(f55,plain,(
% 0.16/0.40    $false),
% 0.16/0.40    inference(subsumption_resolution,[],[f12,f11])).
% 0.16/0.40  thf(f11,plain,(
% 0.16/0.40    ( ! [X3 : $i > $o] : (($true = vAPP($i,$o,X3,sK1))) )),
% 0.16/0.40    inference(cnf_transformation,[],[f10])).
% 0.16/0.40  thf(f10,plain,(
% 0.16/0.40    ! [X2] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sK0,X2),sK1)) & ! [X3 : $i > $o] : ($true = vAPP($i,$o,X3,sK1))),
% 0.16/0.40    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f9])).
% 0.16/0.40  thf(f9,plain,(
% 0.16/0.40    ? [X0 : $i > $i > $o,X1] : (! [X2] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X1)) & ! [X3 : $i > $o] : ($true = vAPP($i,$o,X3,X1))) => (! [X2] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sK0,X2),sK1)) & ! [X3 : $i > $o] : ($true = vAPP($i,$o,X3,sK1)))),
% 0.16/0.40    introduced(choice_axiom,[])).
% 0.16/0.40  thf(f8,plain,(
% 0.16/0.40    ? [X0 : $i > $i > $o,X1] : (! [X2] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X1)) & ! [X3 : $i > $o] : ($true = vAPP($i,$o,X3,X1)))),
% 0.16/0.40    inference(rectify,[],[f7])).
% 0.16/0.40  thf(f7,plain,(
% 0.16/0.40    ? [X0 : $i > $i > $o,X1] : (! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X3),X1) != $true) & ! [X2 : $i > $o] : (vAPP($i,$o,X2,X1) = $true))),
% 0.16/0.40    inference(ennf_transformation,[],[f6])).
% 0.16/0.40  thf(f6,plain,(
% 0.16/0.40    ~! [X0 : $i > $i > $o,X1] : (! [X2 : $i > $o] : (vAPP($i,$o,X2,X1) = $true) => ? [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X3),X1) = $true))),
% 0.16/0.40    inference(fool_elimination,[],[f5])).
% 0.16/0.40  thf(f5,plain,(
% 0.16/0.40    ~! [X0 : $i > $i > $o,X1] : (! [X2 : $i > $o] : vAPP($i,$o,X2,X1) => ? [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X3),X1))),
% 0.16/0.40    inference(rectify,[],[f2])).
% 0.16/0.40  thf(f2,negated_conjecture,(
% 0.16/0.40    ~! [X0 : $i > $i > $o,X1] : (! [X2 : $i > $o] : vAPP($i,$o,X2,X1) => ? [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X3),X1))),
% 0.16/0.40    inference(negated_conjecture,[],[f1])).
% 0.16/0.40  thf(f1,conjecture,(
% 0.16/0.40    ! [X0 : $i > $i > $o,X1] : (! [X2 : $i > $o] : vAPP($i,$o,X2,X1) => ? [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X3),X1))),
% 0.16/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIV2)).
% 0.16/0.40  thf(f12,plain,(
% 0.16/0.40    ( ! [X2 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sK0,X2),sK1))) )),
% 0.16/0.40    inference(cnf_transformation,[],[f10])).
% 0.16/0.40  % SZS output end Proof for theBenchmark
% 0.16/0.40  % (5178)------------------------------
% 0.16/0.40  % (5178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40  % (5178)Termination reason: Refutation
% 0.16/0.40  
% 0.16/0.40  % (5178)Memory used [KB]: 757
% 0.16/0.40  % (5178)Time elapsed: 0.005 s
% 0.16/0.40  % (5178)Instructions burned: 4 (million)
% 0.16/0.40  % (5173)Success in time 0.008 s
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