TSTP Solution File: SEV430^1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEV430^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 04:15:47 EDT 2024

% Result   : Theorem 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEV430^1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 19:10:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (4481)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (4484)WARNING: value z3 for option sas not known
% 0.14/0.37  % (4488)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (4488)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37  % (4482)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (4483)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (4485)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (4484)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (4486)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  % (4487)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37  % (4488)First to succeed.
% 0.14/0.37  % Exception at run slice level
% 0.14/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37  % Exception at run slice level
% 0.14/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37  % Exception at run slice level
% 0.14/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37  % (4488)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4481"
% 0.21/0.38  % (4488)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Theorem for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% 0.21/0.38  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.38  thf(func_def_0, type, f: $i > $i).
% 0.21/0.38  thf(func_def_4, type, sK0: ($i > $i) > $i).
% 0.21/0.38  thf(func_def_5, type, sK1: $i > $i).
% 0.21/0.38  thf(func_def_6, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.21/0.38  thf(func_def_7, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.21/0.38  thf(func_def_8, type, vAND: $o > $o > $o).
% 0.21/0.38  thf(func_def_9, type, vOR: $o > $o > $o).
% 0.21/0.38  thf(func_def_10, type, vIMP: $o > $o > $o).
% 0.21/0.38  thf(func_def_11, type, vNOT: $o > $o).
% 0.21/0.38  thf(func_def_12, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.21/0.38  thf(f46,plain,(
% 0.21/0.38    $false),
% 0.21/0.38    inference(trivial_inequality_removal,[],[f45])).
% 0.21/0.38  thf(f45,plain,(
% 0.21/0.38    (vAPP(sTfun($i,$i),$i,sK0,sK1) != vAPP(sTfun($i,$i),$i,sK0,sK1))),
% 0.21/0.38    inference(superposition,[],[f12,f13])).
% 0.21/0.38  thf(f13,plain,(
% 0.21/0.38    ( ! [X0 : $i] : ((vAPP($i,$i,f,vAPP($i,$i,sK1,X0)) = X0)) )),
% 0.21/0.38    inference(cnf_transformation,[],[f11])).
% 0.21/0.38  thf(f11,plain,(
% 0.21/0.38    ! [X0] : (vAPP($i,$i,f,vAPP($i,$i,sK1,X0)) = X0)),
% 0.21/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1,f10])).
% 0.21/0.38  thf(f10,plain,(
% 0.21/0.38    ! [X0] : (? [X1] : (vAPP($i,$i,f,X1) = X0) => (vAPP($i,$i,f,vAPP($i,$i,sK1,X0)) = X0))),
% 0.21/0.38    introduced(choice_axiom,[])).
% 0.21/0.38  thf(f1,axiom,(
% 0.21/0.38    ! [X0] : ? [X1] : (vAPP($i,$i,f,X1) = X0)),
% 0.21/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fsurj)).
% 0.21/0.38  thf(f12,plain,(
% 0.21/0.38    ( ! [X0 : $i > $i] : ((vAPP(sTfun($i,$i),$i,sK0,X0) != vAPP($i,$i,f,vAPP($i,$i,X0,vAPP(sTfun($i,$i),$i,sK0,X0))))) )),
% 0.21/0.38    inference(cnf_transformation,[],[f9])).
% 0.21/0.38  thf(f9,plain,(
% 0.21/0.38    ! [X0 : $i > $i] : (vAPP(sTfun($i,$i),$i,sK0,X0) != vAPP($i,$i,f,vAPP($i,$i,X0,vAPP(sTfun($i,$i),$i,sK0,X0))))),
% 0.21/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
% 0.21/0.38  thf(f8,plain,(
% 0.21/0.38    ! [X0 : $i > $i] : (? [X1] : (vAPP($i,$i,f,vAPP($i,$i,X0,X1)) != X1) => (vAPP(sTfun($i,$i),$i,sK0,X0) != vAPP($i,$i,f,vAPP($i,$i,X0,vAPP(sTfun($i,$i),$i,sK0,X0)))))),
% 0.21/0.38    introduced(choice_axiom,[])).
% 0.21/0.38  thf(f7,plain,(
% 0.21/0.38    ! [X0 : $i > $i] : ? [X1] : (vAPP($i,$i,f,vAPP($i,$i,X0,X1)) != X1)),
% 0.21/0.38    inference(ennf_transformation,[],[f6])).
% 0.21/0.38  thf(f6,plain,(
% 0.21/0.38    ~? [X0 : $i > $i] : ! [X1] : (vAPP($i,$i,f,vAPP($i,$i,X0,X1)) = X1)),
% 0.21/0.38    inference(rectify,[],[f3])).
% 0.21/0.38  thf(f3,negated_conjecture,(
% 0.21/0.38    ~? [X2 : $i > $i] : ! [X1] : (vAPP($i,$i,f,vAPP($i,$i,X2,X1)) = X1)),
% 0.21/0.38    inference(negated_conjecture,[],[f2])).
% 0.21/0.38  thf(f2,conjecture,(
% 0.21/0.38    ? [X2 : $i > $i] : ! [X1] : (vAPP($i,$i,f,vAPP($i,$i,X2,X1)) = X1)),
% 0.21/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invexists)).
% 0.21/0.38  % SZS output end Proof for theBenchmark
% 0.21/0.38  % (4488)------------------------------
% 0.21/0.38  % (4488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (4488)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (4488)Memory used [KB]: 760
% 0.21/0.38  % (4488)Time elapsed: 0.003 s
% 0.21/0.38  % (4488)Instructions burned: 4 (million)
% 0.21/0.38  % (4481)Success in time 0.017 s
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