TSTP Solution File: ARI543_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI543_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 15:48:30 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  22 unt;   5 typ;   0 def)
%            Number of atoms       :   22 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   83 (   8 atm;  31 fun;  44 num;   0 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (   5 usr;  15 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

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

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

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

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

tff(func_def_15,type,
    sF4: $int ).

tff(f41,plain,
    $false,
    inference(evaluation,[],[f40]) ).

tff(f40,plain,
    ~ $less(165,195),
    inference(backward_demodulation,[],[f37,f39]) ).

tff(f39,plain,
    sF4 = 195,
    inference(evaluation,[],[f38]) ).

tff(f38,plain,
    sF4 = $sum(-76,271),
    inference(forward_demodulation,[],[f29,f31]) ).

tff(f31,plain,
    sF3 = -76,
    inference(evaluation,[],[f28]) ).

tff(f28,plain,
    $uminus(76) = sF3,
    introduced(function_definition,[]) ).

tff(f29,plain,
    sF4 = $sum(sF3,271),
    introduced(function_definition,[]) ).

tff(f37,plain,
    ~ $less(165,sF4),
    inference(backward_demodulation,[],[f30,f36]) ).

tff(f36,plain,
    165 = sF2,
    inference(evaluation,[],[f35]) ).

tff(f35,plain,
    $product(-3,-55) = sF2,
    inference(backward_demodulation,[],[f27,f34]) ).

tff(f34,plain,
    -55 = sF1,
    inference(evaluation,[],[f33]) ).

tff(f33,plain,
    sF1 = $sum(14,-69),
    inference(forward_demodulation,[],[f26,f32]) ).

tff(f32,plain,
    -69 = sF0,
    inference(evaluation,[],[f25]) ).

tff(f25,plain,
    $uminus(69) = sF0,
    introduced(function_definition,[]) ).

tff(f26,plain,
    sF1 = $sum(14,sF0),
    introduced(function_definition,[]) ).

tff(f27,plain,
    $product(-3,sF1) = sF2,
    introduced(function_definition,[]) ).

tff(f30,plain,
    ~ $less(sF2,sF4),
    inference(definition_folding,[],[f23,f29,f28,f27,f26,f25]) ).

tff(f23,plain,
    ~ $less($product(-3,$sum(14,$uminus(69))),$sum($uminus(76),271)),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ~ $less($product(-3,$sum(14,$uminus(69))),$sum($uminus(76),271)),
    inference(flattening,[],[f3]) ).

tff(f3,plain,
    ~ $less($product(-3,$sum(14,$uminus(69))),$sum($uminus(76),271)),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ $less($product(-3,$difference(14,69)),$sum($uminus(76),271)),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $less($product(-3,$difference(14,69)),$sum($uminus(76),271)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',int_combined_problem_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI543=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:42:46 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (13236)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)
% 0.19/0.50  % (13225)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50  % (13244)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)
% 0.19/0.50  % (13236)First to succeed.
% 0.19/0.50  % (13232)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)
% 0.19/0.50  % (13228)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.51  % (13240)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)
% 0.19/0.51  % (13236)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (13236)------------------------------
% 0.19/0.51  % (13236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (13236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (13236)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (13236)Memory used [KB]: 895
% 0.19/0.51  % (13236)Time elapsed: 0.005 s
% 0.19/0.51  % (13236)Instructions burned: 2 (million)
% 0.19/0.51  % (13236)------------------------------
% 0.19/0.51  % (13236)------------------------------
% 0.19/0.51  % (13220)Success in time 0.165 s
%------------------------------------------------------------------------------