TSTP Solution File: ARI737_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI737_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n029.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 : Wed Aug 31 15:49:08 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (  17 unt;   4 typ;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   39 (   0 atm;  22 fun;  17 num;   0 var)
%            Number of types       :    2 (   0 usr;   2 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (   4 usr;   9 con; 0-1 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_11,type,
    sF0: $real ).

tff(func_def_12,type,
    sF1: $real ).

tff(func_def_13,type,
    sF2: $int ).

tff(func_def_14,type,
    sF3: $int ).

tff(f42,plain,
    $false,
    inference(subsumption_resolution,[],[f41,f37]) ).

tff(f37,plain,
    -1 != sF2,
    inference(backward_demodulation,[],[f34,f36]) ).

tff(f36,plain,
    -1 = sF3,
    inference(evaluation,[],[f33]) ).

tff(f33,plain,
    $uminus(1) = sF3,
    introduced(function_definition,[]) ).

tff(f34,plain,
    sF2 != sF3,
    inference(definition_folding,[],[f29,f33,f32,f31,f30]) ).

tff(f30,plain,
    $uminus(1.5) = sF0,
    introduced(function_definition,[]) ).

tff(f31,plain,
    sF1 = $ceiling(sF0),
    introduced(function_definition,[]) ).

tff(f32,plain,
    $to_int(sF1) = sF2,
    introduced(function_definition,[]) ).

tff(f29,plain,
    $to_int($ceiling($uminus(1.5))) != $uminus(1),
    inference(cnf_transformation,[],[f28]) ).

tff(f28,plain,
    $to_int($ceiling($uminus(1.5))) != $uminus(1),
    inference(flattening,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ( ~ $to_int($ceiling($uminus(1.5))) )
    = $uminus(1) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $to_int($ceiling($uminus(1.5))) = $uminus(1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g5) ).

tff(f41,plain,
    -1 = sF2,
    inference(evaluation,[],[f40]) ).

tff(f40,plain,
    $to_int(-1.0) = sF2,
    inference(backward_demodulation,[],[f32,f39]) ).

tff(f39,plain,
    sF1 = -1.0,
    inference(evaluation,[],[f38]) ).

tff(f38,plain,
    sF1 = $ceiling(-1.5),
    inference(backward_demodulation,[],[f31,f35]) ).

tff(f35,plain,
    -1.5 = sF0,
    inference(evaluation,[],[f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI737=1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 16:35:26 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.51  % (27552)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.51  % (27570)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51  % (27578)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.52  % (27578)First to succeed.
% 0.20/0.52  % (27550)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.20/0.52  % (27550)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52  % (27550)Terminated due to inappropriate strategy.
% 0.20/0.52  % (27550)------------------------------
% 0.20/0.52  % (27550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27550)Termination reason: Inappropriate
% 0.20/0.52  
% 0.20/0.52  % (27550)Memory used [KB]: 895
% 0.20/0.52  % (27550)Time elapsed: 0.001 s
% 0.20/0.52  % (27550)------------------------------
% 0.20/0.52  % (27550)------------------------------
% 0.20/0.52  % (27570)Also succeeded, but the first one will report.
% 0.20/0.52  % (27562)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.52  % (27565)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.52  % (27576)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.52  % (27578)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (27578)------------------------------
% 0.20/0.52  % (27578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27578)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (27578)Memory used [KB]: 895
% 0.20/0.52  % (27578)Time elapsed: 0.004 s
% 0.20/0.52  % (27578)Instructions burned: 3 (million)
% 0.20/0.52  % (27578)------------------------------
% 0.20/0.52  % (27578)------------------------------
% 0.20/0.52  % (27547)Success in time 0.17 s
%------------------------------------------------------------------------------