TSTP Solution File: SYO629-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : n029.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 19:51:49 EDT 2022

% Result   : Unsatisfiable 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  16   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(resolution,[],[f21,f20]) ).

fof(f20,plain,
    ! [X0] : 'E'('0',f(g(X0))),
    inference(subsumption_resolution,[],[f19,f18]) ).

fof(f18,plain,
    ! [X1] :
      ( 'E'('0',f(g(X1)))
      | 'E'(s('0'),f(X1)) ),
    inference(resolution,[],[f16,f9]) ).

fof(f9,axiom,
    ! [X0] : iLEQ(X0,g(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_09) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ iLEQ(X0,X1)
      | 'E'(s('0'),f(X0))
      | 'E'('0',f(X1)) ),
    inference(subsumption_resolution,[],[f15,f5]) ).

fof(f5,axiom,
    ! [X0] : ~ 'LE'(f(X0),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_05) ).

fof(f15,plain,
    ! [X0,X1] :
      ( 'E'('0',f(X1))
      | 'LE'(f(X1),'0')
      | 'E'(s('0'),f(X0))
      | ~ iLEQ(X0,X1) ),
    inference(resolution,[],[f6,f4]) ).

fof(f4,axiom,
    ! [X1] :
      ( 'LE'(f(X1),s('0'))
      | 'E'(s('0'),f(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).

fof(f6,axiom,
    ! [X2,X3] :
      ( ~ 'LE'(f(X2),s('0'))
      | ~ iLEQ(X2,X3)
      | 'LE'(f(X3),'0')
      | 'E'('0',f(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_06) ).

fof(f19,plain,
    ! [X0] :
      ( ~ 'E'(s('0'),f(X0))
      | 'E'('0',f(g(X0))) ),
    inference(resolution,[],[f17,f13]) ).

fof(f13,plain,
    ! [X4] :
      ( ~ 'E'(s('0'),f(g(X4)))
      | ~ 'E'(s('0'),f(X4)) ),
    inference(subsumption_resolution,[],[f7,f11]) ).

fof(f11,axiom,
    ! [X4] : ~ 'E'(f(X4),f(g(X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_11) ).

fof(f7,axiom,
    ! [X4] :
      ( 'E'(f(X4),f(g(X4)))
      | ~ 'E'(s('0'),f(g(X4)))
      | ~ 'E'(s('0'),f(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_07) ).

fof(f17,plain,
    ! [X0] :
      ( 'E'(s('0'),f(X0))
      | 'E'('0',f(X0)) ),
    inference(resolution,[],[f16,f2]) ).

fof(f2,axiom,
    ! [X0] : iLEQ(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_02) ).

fof(f21,plain,
    ! [X0] : ~ 'E'('0',f(X0)),
    inference(resolution,[],[f20,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ 'E'('0',f(g(X0)))
      | ~ 'E'('0',f(X0)) ),
    inference(subsumption_resolution,[],[f3,f11]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ 'E'('0',f(g(X0)))
      | 'E'(f(X0),f(g(X0)))
      | ~ 'E'('0',f(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_03) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13  % 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 : n029.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   : Tue Aug 30 23:18:27 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.47  % (17815)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.48  % (17815)First to succeed.
% 0.21/0.48  % (17832)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.48  % (17815)Refutation found. Thanks to Tanya!
% 0.21/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48  % (17815)------------------------------
% 0.21/0.48  % (17815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48  % (17815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48  % (17815)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (17815)Memory used [KB]: 5373
% 0.21/0.48  % (17815)Time elapsed: 0.076 s
% 0.21/0.48  % (17815)Instructions burned: 1 (million)
% 0.21/0.48  % (17815)------------------------------
% 0.21/0.48  % (17815)------------------------------
% 0.21/0.48  % (17802)Success in time 0.124 s
%------------------------------------------------------------------------------