TSTP Solution File: ARI690_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI690_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 : n014.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 15:48:59 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (  24 unt;   4 typ;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   61 (   0 atm;  34 fun;  17 num;  10 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (   4 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?;  10   :)

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

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

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

tff(func_def_10,type,
    sF0: $int ).

tff(f481,plain,
    $false,
    inference(subsumption_resolution,[],[f480,f30]) ).

tff(f30,plain,
    a != sF0,
    inference(definition_folding,[],[f27,f29]) ).

tff(f29,plain,
    $product(2,c) = sF0,
    introduced(function_definition,[]) ).

tff(f27,plain,
    a != $product(2,c),
    inference(cnf_transformation,[],[f24]) ).

tff(f24,plain,
    a != $product(2,c),
    inference(flattening,[],[f4]) ).

tff(f4,negated_conjecture,
    ( ( ~ a )
    = $product(2,c) ),
    inference(negated_conjecture,[],[f3]) ).

tff(f3,conjecture,
    a = $product(2,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

tff(f480,plain,
    a = sF0,
    inference(backward_demodulation,[],[f29,f454]) ).

tff(f454,plain,
    a = $product(2,c),
    inference(backward_demodulation,[],[f25,f453]) ).

tff(f453,plain,
    d = c,
    inference(forward_demodulation,[],[f452,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f452,plain,
    d = $sum(c,0),
    inference(evaluation,[],[f449]) ).

tff(f449,plain,
    $uminus($uminus(d)) = $sum(c,0),
    inference(superposition,[],[f239,f10]) ).

tff(f10,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f239,plain,
    ! [X10: $int] : ( $sum(c,$sum($uminus(d),X10)) = X10 ),
    inference(forward_demodulation,[],[f219,f51]) ).

tff(f51,plain,
    ! [X0: $int] : ( $sum(0,X0) = X0 ),
    inference(superposition,[],[f6,f8]) ).

tff(f6,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f219,plain,
    ! [X10: $int] : ( $sum(0,X10) = $sum(c,$sum($uminus(d),X10)) ),
    inference(superposition,[],[f7,f26]) ).

tff(f26,plain,
    0 = $sum(c,$uminus(d)),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,plain,
    0 = $sum(c,$uminus(d)),
    inference(theory_normalization,[],[f2]) ).

tff(f2,axiom,
    $difference(c,d) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).

tff(f7,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f25,plain,
    $product(2,d) = a,
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    $product(2,d) = a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI690=1 : TPTP v8.1.0. Released v6.3.0.
% 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
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 15:56:03 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (18250)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)
% 0.20/0.49  % (18243)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50  % (18265)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)
% 0.20/0.51  % (18251)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.51  % (18240)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51  % (18266)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  % (18241)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)
% 0.20/0.52  % (18261)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)
% 0.20/0.52  % (18242)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52  % (18258)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)
% 0.20/0.52  % (18253)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  % (18244)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.52  % (18239)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  % (18239)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52  % (18239)Terminated due to inappropriate strategy.
% 0.20/0.52  % (18239)------------------------------
% 0.20/0.52  % (18239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18239)Termination reason: Inappropriate
% 0.20/0.52  
% 0.20/0.52  % (18239)Memory used [KB]: 895
% 0.20/0.52  % (18239)Time elapsed: 0.002 s
% 0.20/0.52  % (18239)Instructions burned: 1 (million)
% 0.20/0.52  % (18239)------------------------------
% 0.20/0.52  % (18239)------------------------------
% 0.20/0.53  % (18263)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.53  % (18252)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.53  % (18268)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.53  % (18256)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.53  % (18256)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53  % (18256)Terminated due to inappropriate strategy.
% 0.20/0.53  % (18256)------------------------------
% 0.20/0.53  % (18256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (18256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (18256)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (18256)Memory used [KB]: 895
% 0.20/0.53  % (18256)Time elapsed: 0.001 s
% 0.20/0.53  % (18256)------------------------------
% 0.20/0.53  % (18256)------------------------------
% 0.20/0.53  % (18257)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.53  % (18262)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.53  % (18254)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.53  % (18247)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  % (18243)First to succeed.
% 0.20/0.53  % (18258)Also succeeded, but the first one will report.
% 0.20/0.53  % (18247)Instruction limit reached!
% 0.20/0.53  % (18247)------------------------------
% 0.20/0.53  % (18247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (18247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (18247)Termination reason: Unknown
% 0.20/0.53  % (18247)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (18247)Memory used [KB]: 5373
% 0.20/0.53  % (18247)Time elapsed: 0.002 s
% 0.20/0.53  % (18247)Instructions burned: 2 (million)
% 0.20/0.53  % (18247)------------------------------
% 0.20/0.53  % (18247)------------------------------
% 0.20/0.53  % (18243)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Theorem for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (18243)------------------------------
% 0.20/0.53  % (18243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (18243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (18243)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (18243)Memory used [KB]: 5884
% 0.20/0.53  % (18243)Time elapsed: 0.120 s
% 0.20/0.53  % (18243)Instructions burned: 32 (million)
% 0.20/0.53  % (18243)------------------------------
% 0.20/0.53  % (18243)------------------------------
% 0.20/0.53  % (18238)Success in time 0.187 s
%------------------------------------------------------------------------------