TSTP Solution File: NUM904_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM904_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n013.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 18:07:09 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   35 (   0 atm;  19 fun;  11 num;   5 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    :    6 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $rat ).

tff(func_def_5,type,
    sF1: $rat ).

tff(func_def_6,type,
    sF2: $rat ).

tff(f27,plain,
    $false,
    inference(subsumption_resolution,[],[f26,f20]) ).

tff(f20,plain,
    0/1 != sF2,
    inference(definition_folding,[],[f17,f19,f18]) ).

tff(f18,plain,
    $uminus(sK0) = sF1,
    introduced(function_definition,[]) ).

tff(f19,plain,
    sF2 = $sum(sK0,sF1),
    introduced(function_definition,[]) ).

tff(f17,plain,
    0/1 != $sum(sK0,$uminus(sK0)),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    0/1 != $sum(sK0,$uminus(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $rat] : ( $sum(X0,$uminus(X0)) != 0/1 )
   => ( 0/1 != $sum(sK0,$uminus(sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $rat] : ( $sum(X0,$uminus(X0)) != 0/1 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_uminus_problem_8) ).

tff(f26,plain,
    0/1 = sF2,
    inference(backward_demodulation,[],[f19,f23]) ).

tff(f23,plain,
    0/1 = $sum(sK0,sF1),
    inference(superposition,[],[f7,f18]) ).

tff(f7,plain,
    ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    introduced(theory_axiom_145,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM904=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.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   : Tue Aug 30 09:10:47 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.53  % (12330)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54  % (12330)Instruction limit reached!
% 0.21/0.54  % (12330)------------------------------
% 0.21/0.54  % (12330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (12330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (12330)Termination reason: Unknown
% 0.21/0.54  % (12330)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (12330)Memory used [KB]: 5373
% 0.21/0.54  % (12330)Time elapsed: 0.106 s
% 0.21/0.54  % (12330)Instructions burned: 2 (million)
% 0.21/0.54  % (12330)------------------------------
% 0.21/0.54  % (12330)------------------------------
% 0.21/0.54  % (12336)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 (2999ds/68Mi)
% 0.21/0.55  % (12328)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (12328)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.55  % (12328)Terminated due to inappropriate strategy.
% 0.21/0.55  % (12328)------------------------------
% 0.21/0.55  % (12328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (12328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (12328)Termination reason: Inappropriate
% 0.21/0.55  
% 0.21/0.55  % (12328)Memory used [KB]: 895
% 0.21/0.55  % (12328)Time elapsed: 0.004 s
% 0.21/0.55  % (12328)Instructions burned: 2 (million)
% 0.21/0.55  % (12328)------------------------------
% 0.21/0.55  % (12328)------------------------------
% 0.21/0.55  % (12346)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55  % (12344)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 (2999ds/498Mi)
% 0.21/0.55  % (12346)First to succeed.
% 0.21/0.55  % (12338)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 (2999ds/99Mi)
% 0.21/0.55  % (12338)Also succeeded, but the first one will report.
% 0.21/0.55  % (12346)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Theorem for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (12346)------------------------------
% 0.21/0.55  % (12346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (12346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (12346)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (12346)Memory used [KB]: 5373
% 0.21/0.55  % (12346)Time elapsed: 0.115 s
% 0.21/0.55  % (12346)Instructions burned: 2 (million)
% 0.21/0.55  % (12346)------------------------------
% 0.21/0.55  % (12346)------------------------------
% 0.21/0.55  % (12321)Success in time 0.186 s
%------------------------------------------------------------------------------