TSTP Solution File: SYO520^1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO520^1 : TPTP v8.2.0. Released v4.1.0.
% 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 09:12:01 EDT 2024

% Result   : Unsatisfiable 0.24s 0.41s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO520^1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38  % Computer : n027.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon May 20 08:46:08 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.16/0.39  % (9569)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (9572)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  % (9574)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.40  % (9573)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  % (9570)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.40  % (9571)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.40  % (9575)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.40  % (9576)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  % (9573)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.40  % (9572)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.24/0.40  % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.24/0.40  
% 0.24/0.40  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.40  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.40  
% 0.24/0.40  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.40  % Exception at run slice level
% 0.24/0.40  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.41  % (9575)First to succeed.
% 0.24/0.41  % (9572)Also succeeded, but the first one will report.
% 0.24/0.41  % (9575)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9569"
% 0.24/0.41  % (9574)Also succeeded, but the first one will report.
% 0.24/0.41  % (9575)Refutation found. Thanks to Tanya!
% 0.24/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.24/0.41  % SZS output start Proof for theBenchmark
% 0.24/0.41  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.24/0.41  thf(func_def_0, type, eps: ($i > $o) > $i).
% 0.24/0.41  thf(func_def_2, type, p: $i > $o).
% 0.24/0.41  thf(func_def_5, type, vNOT: $o > $o).
% 0.24/0.41  thf(func_def_6, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.24/0.41  thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.24/0.41  thf(func_def_9, type, vAND: $o > $o > $o).
% 0.24/0.41  thf(func_def_10, type, vOR: $o > $o > $o).
% 0.24/0.41  thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.24/0.41  thf(func_def_12, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.24/0.41  thf(f66,plain,(
% 0.24/0.41    $false),
% 0.24/0.41    inference(trivial_inequality_removal,[],[f65])).
% 0.24/0.41  thf(f65,plain,(
% 0.24/0.41    ($true = $false)),
% 0.24/0.41    inference(forward_demodulation,[],[f62,f46])).
% 0.24/0.41  thf(f46,plain,(
% 0.24/0.41    (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $false)),
% 0.24/0.41    inference(trivial_inequality_removal,[],[f45])).
% 0.24/0.41  thf(f45,plain,(
% 0.24/0.41    ($true != $true) | (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $false)),
% 0.24/0.41    inference(superposition,[],[f14,f5])).
% 0.24/0.41  thf(f5,plain,(
% 0.24/0.41    ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.24/0.41    introduced(fool_axiom,[])).
% 0.24/0.41  thf(f14,plain,(
% 0.24/0.41    (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) != $true)),
% 0.24/0.41    inference(cnf_transformation,[],[f12])).
% 0.24/0.41  thf(f12,plain,(
% 0.24/0.41    (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) != $true)),
% 0.24/0.41    inference(flattening,[],[f7])).
% 0.24/0.41  thf(f7,plain,(
% 0.24/0.41    ~(vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $true)),
% 0.24/0.41    inference(fool_elimination,[],[f6])).
% 0.24/0.41  thf(f6,plain,(
% 0.24/0.41    ~vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p))),
% 0.24/0.41    inference(rectify,[],[f3])).
% 0.24/0.41  thf(f3,axiom,(
% 0.24/0.41    ~vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p))),
% 0.24/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 0.24/0.41  thf(f62,plain,(
% 0.24/0.41    (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $true)),
% 0.24/0.41    inference(trivial_inequality_removal,[],[f61])).
% 0.24/0.41  thf(f61,plain,(
% 0.24/0.41    ($true != $true) | (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $true)),
% 0.24/0.41    inference(superposition,[],[f15,f16])).
% 0.24/0.41  thf(f16,plain,(
% 0.24/0.41    ($true = vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,vAPP(sTfun($i,$o),sTfun($i,$o),vAPP(sTfun($o,$o),sTfun(sTfun($i,$o),sTfun($i,$o)),bCOMB,vNOT),p))))),
% 0.24/0.41    inference(cnf_transformation,[],[f11])).
% 0.24/0.41  thf(f11,plain,(
% 0.24/0.41    ($true = vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,vAPP(sTfun($i,$o),sTfun($i,$o),vAPP(sTfun($o,$o),sTfun(sTfun($i,$o),sTfun($i,$o)),bCOMB,vNOT),p))))),
% 0.24/0.41    inference(fool_elimination,[],[f10])).
% 0.24/0.41  thf(f10,plain,(
% 0.24/0.41    vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,(^[X0 : $i] : (~vAPP($i,$o,p,X0)))))),
% 0.24/0.41    inference(rectify,[],[f2])).
% 0.24/0.41  thf(f2,axiom,(
% 0.24/0.41    vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,(^[X1 : $i] : (~vAPP($i,$o,p,X1)))))),
% 0.24/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 0.24/0.41  thf(f15,plain,(
% 0.24/0.41    ( ! [X0 : $i > $o,X1 : $i] : ((vAPP($i,$o,X0,X1) != $true) | (vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true)) )),
% 0.24/0.41    inference(cnf_transformation,[],[f13])).
% 0.24/0.41  thf(f13,plain,(
% 0.24/0.41    ! [X0 : $i > $o] : ((vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true) | ! [X1] : (vAPP($i,$o,X0,X1) != $true))),
% 0.24/0.41    inference(ennf_transformation,[],[f9])).
% 0.24/0.41  thf(f9,plain,(
% 0.24/0.41    ! [X0 : $i > $o] : (? [X1] : (vAPP($i,$o,X0,X1) = $true) => (vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true))),
% 0.24/0.41    inference(fool_elimination,[],[f8])).
% 0.24/0.41  thf(f8,plain,(
% 0.24/0.41    ! [X0 : $i > $o] : (? [X1] : vAPP($i,$o,X0,X1) => vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)))),
% 0.24/0.41    inference(rectify,[],[f1])).
% 0.24/0.41  thf(f1,axiom,(
% 0.24/0.41    ! [X0 : $i > $o] : (? [X1] : vAPP($i,$o,X0,X1) => vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)))),
% 0.24/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epschoice)).
% 0.24/0.41  % SZS output end Proof for theBenchmark
% 0.24/0.41  % (9575)------------------------------
% 0.24/0.41  % (9575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.24/0.41  % (9575)Termination reason: Refutation
% 0.24/0.41  
% 0.24/0.41  % (9575)Memory used [KB]: 773
% 0.24/0.41  % (9575)Time elapsed: 0.005 s
% 0.24/0.41  % (9575)Instructions burned: 5 (million)
% 0.24/0.41  % (9569)Success in time 0.018 s
%------------------------------------------------------------------------------