TSTP Solution File: FLD030-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : 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 16:06:44 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  12   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f110,plain,
    $false,
    inference(subsumption_resolution,[],[f109,f37]) ).

fof(f37,plain,
    ~ equalish(a,d),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f33,axiom,
    equalish(a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_d_6) ).

fof(f109,plain,
    equalish(a,d),
    inference(resolution,[],[f103,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | equalish(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).

fof(f103,plain,
    equalish(d,a),
    inference(resolution,[],[f82,f65]) ).

fof(f65,plain,
    ~ equalish(multiply(a,b),c),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f32,axiom,
    equalish(multiply(a,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_c_5) ).

fof(f82,plain,
    ! [X0] :
      ( equalish(multiply(X0,b),c)
      | equalish(d,X0) ),
    inference(subsumption_resolution,[],[f76,f44]) ).

fof(f44,plain,
    ~ defined(b),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f29,axiom,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

fof(f76,plain,
    ! [X0] :
      ( equalish(multiply(X0,b),c)
      | defined(b)
      | equalish(d,X0) ),
    inference(resolution,[],[f72,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ equalish(multiply(X0,X2),multiply(X1,X2))
      | equalish(X0,X1)
      | defined(X2) ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f25,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ defined(X2)
      | equalish(multiply(X0,X2),multiply(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).

fof(f72,plain,
    ! [X1] :
      ( equalish(multiply(d,b),X1)
      | equalish(X1,c) ),
    inference(resolution,[],[f53,f61]) ).

fof(f61,plain,
    equalish(multiply(d,b),c),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f34,axiom,
    ~ equalish(multiply(d,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_c_7) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X2)
      | equalish(X0,X1)
      | equalish(X1,X2) ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X1)
      | equalish(X0,X2)
      | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:21:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (17026)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 (2999ds/191324Mi)
% 0.20/0.50  % (17051)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  % (17053)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 (2999ds/177Mi)
% 0.20/0.50  % (17034)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (17034)Instruction limit reached!
% 0.20/0.51  % (17034)------------------------------
% 0.20/0.51  % (17034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (17030)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (17034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (17034)Termination reason: Unknown
% 0.20/0.51  % (17034)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (17034)Memory used [KB]: 5373
% 0.20/0.51  % (17034)Time elapsed: 0.101 s
% 0.20/0.51  % (17034)Instructions burned: 3 (million)
% 0.20/0.51  % (17034)------------------------------
% 0.20/0.51  % (17034)------------------------------
% 0.20/0.51  % (17031)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 (2999ds/48Mi)
% 0.20/0.51  % (17043)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51  % (17045)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 (2999ds/100Mi)
% 0.20/0.52  % (17045)First to succeed.
% 0.20/0.52  % (17050)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (17027)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)
% 0.20/0.52  % (17045)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (17045)------------------------------
% 0.20/0.52  % (17045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (17045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (17045)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (17045)Memory used [KB]: 895
% 0.20/0.52  % (17045)Time elapsed: 0.118 s
% 0.20/0.52  % (17045)Instructions burned: 2 (million)
% 0.20/0.52  % (17045)------------------------------
% 0.20/0.52  % (17045)------------------------------
% 0.20/0.52  % (17024)Success in time 0.161 s
%------------------------------------------------------------------------------