TSTP Solution File: ARI710_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI710_1 : TPTP v8.1.0. Released v6.3.0.
% 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 : n018.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 15:49:03 EDT 2022

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   27 (  20 unt;   7 typ;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   60 (   0 atm;  43 fun;   5 num;  12 var)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   4 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    b: $int ).

tff(func_def_1,type,
    a: $int ).

tff(func_def_2,type,
    c: $int ).

tff(func_def_3,type,
    d: $int ).

tff(pred_def_2,type,
    sQ0_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_3,type,
    sQ1_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_4,type,
    sQ2_eqProxy: ( $real * $real ) > $o ).

tff(f268,plain,
    $false,
    inference(subsumption_resolution,[],[f164,f176]) ).

tff(f176,plain,
    b != $product(a,$product(c,d)),
    inference(forward_demodulation,[],[f169,f39]) ).

tff(f39,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    inference(literal_reordering,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f169,plain,
    b != $product(a,$product(d,c)),
    inference(superposition,[],[f93,f44]) ).

tff(f44,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),X2) = $product(X0,$product(X1,X2)) ),
    inference(literal_reordering,[],[f16]) ).

tff(f16,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),X2) = $product(X0,$product(X1,X2)) ),
    introduced(theory_axiom_141,[]) ).

tff(f93,plain,
    b != $product($product(a,d),c),
    inference(backward_demodulation,[],[f35,f39]) ).

tff(f35,plain,
    b != $product($product(d,a),c),
    inference(literal_reordering,[],[f24]) ).

tff(f24,plain,
    b != $product($product(d,a),c),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    b != $product($product(d,a),c),
    inference(flattening,[],[f3]) ).

tff(f3,negated_conjecture,
    ( ( ~ b )
    = $product($product(d,a),c) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    b = $product($product(d,a),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

tff(f164,plain,
    b = $product(a,$product(c,d)),
    inference(superposition,[],[f44,f119]) ).

tff(f119,plain,
    b = $product($product(a,c),d),
    inference(forward_demodulation,[],[f41,f40]) ).

tff(f40,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    inference(literal_reordering,[],[f17]) ).

tff(f17,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f41,plain,
    $product(b,1) = $product($product(a,c),d),
    inference(literal_reordering,[],[f23]) ).

tff(f23,plain,
    $product(b,1) = $product($product(a,c),d),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    $product(b,1) = $product($product(a,c),d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI710=1 : TPTP v8.1.0. Released v6.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 16:01:24 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (1099)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.53  % (1099)Instruction limit reached!
% 0.20/0.53  % (1099)------------------------------
% 0.20/0.53  % (1099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (1097)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.54  % (1097)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.54  % (1097)Terminated due to inappropriate strategy.
% 0.20/0.54  % (1097)------------------------------
% 0.20/0.54  % (1097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (1097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (1097)Termination reason: Inappropriate
% 0.20/0.54  
% 0.20/0.54  % (1097)Memory used [KB]: 895
% 0.20/0.54  % (1097)Time elapsed: 0.003 s
% 0.20/0.54  % (1097)Instructions burned: 2 (million)
% 0.20/0.54  % (1097)------------------------------
% 0.20/0.54  % (1097)------------------------------
% 0.20/0.54  % (1099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (1099)Termination reason: Unknown
% 0.20/0.54  % (1099)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (1099)Memory used [KB]: 5373
% 0.20/0.54  % (1099)Time elapsed: 0.006 s
% 0.20/0.54  % (1099)Instructions burned: 2 (million)
% 0.20/0.54  % (1099)------------------------------
% 0.20/0.54  % (1099)------------------------------
% 0.20/0.54  % (1115)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.54  % (1107)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)
% 0.20/0.54  % (1117)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.54  % (1109)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.56  % (1107)First to succeed.
% 0.20/0.57  % (1107)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Theorem for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (1107)------------------------------
% 0.20/0.57  % (1107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (1107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (1107)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (1107)Memory used [KB]: 5884
% 0.20/0.57  % (1107)Time elapsed: 0.024 s
% 0.20/0.57  % (1107)Instructions burned: 14 (million)
% 0.20/0.57  % (1107)------------------------------
% 0.20/0.57  % (1107)------------------------------
% 0.20/0.57  % (1090)Success in time 0.211 s
%------------------------------------------------------------------------------