TSTP Solution File: LCL357-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL357-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : n015.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 17:48:02 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  11   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(resolution,[],[f118,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

fof(f118,plain,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(y,z),implies(x,z)))),
    inference(resolution,[],[f55,f2]) ).

fof(f55,plain,
    ! [X10] :
      ( ~ is_a_theorem(implies(X10,implies(implies(implies(x,z),u),implies(implies(y,z),u))))
      | ~ is_a_theorem(implies(implies(x,y),X10)) ),
    inference(resolution,[],[f2,f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u))))))
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f6,f1]) ).

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

fof(f6,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_06) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL357-1 : TPTP v8.1.0. Released v2.3.0.
% 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
% 0.13/0.34  % Computer : n015.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 02:08:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (18625)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51  % (18641)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.51  % (18625)First to succeed.
% 0.20/0.51  % (18618)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)
% 0.20/0.52  % (18625)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  % (18625)------------------------------
% 0.20/0.52  % (18625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18625)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (18625)Memory used [KB]: 1023
% 0.20/0.52  % (18625)Time elapsed: 0.099 s
% 0.20/0.52  % (18625)Instructions burned: 10 (million)
% 0.20/0.52  % (18625)------------------------------
% 0.20/0.52  % (18625)------------------------------
% 0.20/0.52  % (18615)Success in time 0.163 s
%------------------------------------------------------------------------------