TSTP Solution File: GRP168-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP168-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n007.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 16:20:40 EDT 2022

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 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 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(trivial_inequality_removal,[],[f20]) ).

fof(f20,plain,
    multiply(inverse(c),multiply(a,c)) != multiply(inverse(c),multiply(a,c)),
    inference(forward_demodulation,[],[f19,f16]) ).

fof(f16,axiom,
    a = greatest_lower_bound(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p01b_1) ).

fof(f19,plain,
    multiply(inverse(c),multiply(a,c)) != multiply(inverse(c),multiply(greatest_lower_bound(a,b),c)),
    inference(backward_demodulation,[],[f18,f15]) ).

fof(f15,axiom,
    ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb2) ).

fof(f18,plain,
    multiply(inverse(c),multiply(a,c)) != multiply(inverse(c),greatest_lower_bound(multiply(a,c),multiply(b,c))),
    inference(forward_demodulation,[],[f17,f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb1) ).

fof(f17,axiom,
    multiply(inverse(c),multiply(a,c)) != greatest_lower_bound(multiply(inverse(c),multiply(a,c)),multiply(inverse(c),multiply(b,c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p01b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP168-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 22:03:15 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.47  % (12352)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 (2999ds/75Mi)
% 0.17/0.48  % (12344)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.49  % (12361)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.49  % (12344)Instruction limit reached!
% 0.17/0.49  % (12344)------------------------------
% 0.17/0.49  % (12344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (12345)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.49  % (12353)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)
% 0.17/0.49  % (12360)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 (2999ds/467Mi)
% 0.17/0.49  % (12344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (12344)Termination reason: Unknown
% 0.17/0.49  % (12344)Termination phase: Saturation
% 0.17/0.49  
% 0.17/0.49  % (12344)Memory used [KB]: 5500
% 0.17/0.49  % (12344)Time elapsed: 0.110 s
% 0.17/0.49  % (12344)Instructions burned: 8 (million)
% 0.17/0.49  % (12344)------------------------------
% 0.17/0.49  % (12344)------------------------------
% 0.17/0.50  % (12360)First to succeed.
% 0.17/0.50  % (12360)Refutation found. Thanks to Tanya!
% 0.17/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50  % (12360)------------------------------
% 0.17/0.50  % (12360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (12360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (12360)Termination reason: Refutation
% 0.17/0.50  
% 0.17/0.50  % (12360)Memory used [KB]: 5373
% 0.17/0.50  % (12360)Time elapsed: 0.004 s
% 0.17/0.50  % (12360)Instructions burned: 1 (million)
% 0.17/0.50  % (12360)------------------------------
% 0.17/0.50  % (12360)------------------------------
% 0.17/0.50  % (12336)Success in time 0.168 s
%------------------------------------------------------------------------------