TSTP Solution File: SYN065+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n001.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 19:36:45 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   21 (  10   ~;   7   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   25 (  20   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(resolution,[],[f16,f9]) ).

fof(f9,plain,
    ! [X1] : ~ big_h(sK1,X1),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
    ! [X1] : ~ big_h(X0,X1),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0] :
      ? [X1] : big_h(X0,X1),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0] :
    ? [X1] : big_h(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel36) ).

fof(f16,plain,
    ! [X0] : big_h(X0,sK2(sK0(X0))),
    inference(resolution,[],[f15,f14]) ).

fof(f14,plain,
    ! [X0] : big_f(X0,sK2(X0)),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
    ? [X1] : big_f(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel36_1) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ big_f(sK0(X0),X1)
      | big_h(X0,X1) ),
    inference(resolution,[],[f10,f8]) ).

fof(f8,plain,
    ! [X0] : big_g(X0,sK0(X0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
    ? [X1] : big_g(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel36_2) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( ~ big_g(X0,X1)
      | big_h(X0,X2)
      | ~ big_f(X1,X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( ~ big_g(X1,X2)
            & ~ big_f(X1,X2) )
          | big_h(X0,X2) )
      | ( ~ big_f(X0,X1)
        & ~ big_g(X0,X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( big_f(X0,X1)
        | big_g(X0,X1) )
     => ! [X2] :
          ( ( big_g(X1,X2)
            | big_f(X1,X2) )
         => big_h(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel36_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:48:17 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (18748)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.49  % (18747)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)
% 0.20/0.49  % (18757)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.49  % (18757)First to succeed.
% 0.20/0.49  % (18756)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.50  % (18750)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)
% 0.20/0.50  % (18766)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.20/0.50  % (18758)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.50  % (18774)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.50  % (18747)Also succeeded, but the first one will report.
% 0.20/0.50  % (18757)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (18757)------------------------------
% 0.20/0.50  % (18757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (18757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (18757)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (18757)Memory used [KB]: 5373
% 0.20/0.50  % (18757)Time elapsed: 0.094 s
% 0.20/0.50  % (18757)Instructions burned: 2 (million)
% 0.20/0.50  % (18757)------------------------------
% 0.20/0.50  % (18757)------------------------------
% 0.20/0.50  % (18744)Success in time 0.158 s
%------------------------------------------------------------------------------