TSTP Solution File: RNG011-5 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% 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 : n010.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 18:15:21 EDT 2022

% Result   : Unsatisfiable 1.36s 0.52s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   6 unt;   0 def)
%            Number of atoms       :    6 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f23]) ).

fof(f23,plain,
    ! [X0,X1] : additive_identity = multiply(multiply(add(multiply(multiply(X0,X0),X1),additive_inverse(multiply(X0,multiply(X0,X1)))),X0),add(multiply(multiply(X0,X0),X1),additive_inverse(multiply(X0,multiply(X0,X1))))),
    inference(definition_unfolding,[],[f21,f19,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator) ).

fof(f21,axiom,
    ! [X0,X1] : additive_identity = multiply(multiply(associator(X0,X0,X1),X0),associator(X0,X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',middle_associator) ).

fof(f24,plain,
    additive_identity != multiply(multiply(add(multiply(multiply(a,a),b),additive_inverse(multiply(a,multiply(a,b)))),a),add(multiply(multiply(a,a),b),additive_inverse(multiply(a,multiply(a,b))))),
    inference(definition_unfolding,[],[f22,f19,f19]) ).

fof(f22,axiom,
    additive_identity != multiply(multiply(associator(a,a,b),a),associator(a,a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % 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 : n010.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   : Tue Aug 30 11:39:14 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.45  % (10890)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.46  % (10903)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)
% 0.19/0.47  % (10911)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.48  % (10895)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49  % (10895)Instruction limit reached!
% 0.19/0.49  % (10895)------------------------------
% 0.19/0.49  % (10895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (10895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (10895)Termination reason: Unknown
% 0.19/0.50  % (10895)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (10895)Memory used [KB]: 5373
% 0.19/0.50  % (10895)Time elapsed: 0.114 s
% 0.19/0.50  % (10895)Instructions burned: 3 (million)
% 0.19/0.50  % (10895)------------------------------
% 0.19/0.50  % (10895)------------------------------
% 0.19/0.50  % (10897)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (10905)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (10901)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)
% 1.36/0.51  % (10888)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.51  % (10888)First to succeed.
% 1.36/0.52  % (10888)Refutation found. Thanks to Tanya!
% 1.36/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.36/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.52  % (10888)------------------------------
% 1.36/0.52  % (10888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.52  % (10888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.52  % (10888)Termination reason: Refutation
% 1.36/0.52  
% 1.36/0.52  % (10888)Memory used [KB]: 5373
% 1.36/0.52  % (10888)Time elapsed: 0.002 s
% 1.36/0.52  % (10888)Instructions burned: 1 (million)
% 1.36/0.52  % (10888)------------------------------
% 1.36/0.52  % (10888)------------------------------
% 1.36/0.52  % (10886)Success in time 0.176 s
%------------------------------------------------------------------------------