TSTP Solution File: LCL033-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL033-1 : 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 : n006.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 17:46:38 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,plain,
    $false,
    inference(resolution,[],[f113,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(implies(a,implies(b,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_2) ).

fof(f113,plain,
    ! [X4,X5] : is_a_theorem(implies(X4,implies(X5,X4))),
    inference(resolution,[],[f52,f24]) ).

fof(f24,plain,
    ! [X8,X6,X9,X7] : is_a_theorem(implies(implies(implies(implies(falsehood,X6),implies(X7,implies(falsehood,X6))),X8),implies(X9,X8))),
    inference(resolution,[],[f14,f4]) ).

fof(f4,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))
      | is_a_theorem(implies(implies(X4,X0),implies(X2,X0))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_CAMerideth) ).

fof(f14,plain,
    ! [X3,X4,X5] : is_a_theorem(implies(X3,implies(implies(falsehood,X4),implies(X5,implies(falsehood,X4))))),
    inference(resolution,[],[f7,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
    inference(resolution,[],[f5,f4]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
    inference(resolution,[],[f4,f2]) ).

fof(f7,plain,
    ! [X8,X6,X7,X4,X5] :
      ( ~ is_a_theorem(implies(implies(implies(X4,X5),implies(X6,X5)),implies(X5,X7)))
      | is_a_theorem(implies(X8,implies(X5,X7))) ),
    inference(resolution,[],[f5,f1]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(X1,implies(X2,X1))) ),
    inference(resolution,[],[f16,f1]) ).

fof(f16,plain,
    ! [X10,X8,X9] : is_a_theorem(implies(X8,implies(X9,implies(X10,X9)))),
    inference(resolution,[],[f7,f10]) ).

fof(f10,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
    inference(resolution,[],[f8,f4]) ).

fof(f8,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))),
    inference(resolution,[],[f6,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 01:29:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (28252)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.53  % (28244)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 (3000ds/191324Mi)
% 0.19/0.54  % (28268)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.54  % (28252)Instruction limit reached!
% 0.19/0.54  % (28252)------------------------------
% 0.19/0.54  % (28252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (28252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (28252)Termination reason: Unknown
% 0.19/0.54  % (28252)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (28252)Memory used [KB]: 5373
% 0.19/0.54  % (28252)Time elapsed: 0.123 s
% 0.19/0.54  % (28252)Instructions burned: 2 (million)
% 0.19/0.54  % (28252)------------------------------
% 0.19/0.54  % (28252)------------------------------
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [3]
% 0.19/0.55  % (28246)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.55  % (28246)First to succeed.
% 0.19/0.56  % (28249)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 (3000ds/48Mi)
% 0.19/0.56  % (28262)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.56  % (28250)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 0.19/0.57  TRYING [4]
% 0.19/0.57  % (28246)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (28246)------------------------------
% 0.19/0.57  % (28246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (28246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (28246)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (28246)Memory used [KB]: 895
% 0.19/0.57  % (28246)Time elapsed: 0.145 s
% 0.19/0.57  % (28246)Instructions burned: 5 (million)
% 0.19/0.57  % (28246)------------------------------
% 0.19/0.57  % (28246)------------------------------
% 0.19/0.57  % (28243)Success in time 0.214 s
%------------------------------------------------------------------------------