TSTP Solution File: KLE053+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KLE053+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n021.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 17:28:59 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  15 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,plain,
    $false,
    inference(trivial_inequality_removal,[],[f91]) ).

fof(f91,plain,
    domain(sK0) != domain(sK0),
    inference(superposition,[],[f45,f73]) ).

fof(f73,plain,
    ! [X1] : domain(domain(X1)) = domain(X1),
    inference(forward_demodulation,[],[f69,f50]) ).

fof(f50,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f69,plain,
    ! [X1] : domain(multiplication(one,X1)) = domain(domain(X1)),
    inference(superposition,[],[f38,f50]) ).

fof(f38,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).

fof(f45,plain,
    domain(sK0) != domain(domain(sK0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    domain(sK0) != domain(domain(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f31]) ).

fof(f31,plain,
    ( ? [X0] : domain(domain(X0)) != domain(X0)
   => domain(sK0) != domain(domain(sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ? [X0] : domain(domain(X0)) != domain(X0),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ~ ! [X0] : domain(domain(X0)) = domain(X0),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3] : domain(X3) = domain(domain(X3)),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3] : domain(X3) = domain(domain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KLE053+1 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 00:20:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (28158)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49  % (28149)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 (2999ds/51Mi)
% 0.20/0.50  % (28144)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  TRYING [2]
% 0.20/0.50  TRYING [3]
% 0.20/0.50  % (28149)First to succeed.
% 0.20/0.51  % (28149)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (28149)------------------------------
% 0.20/0.51  % (28149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (28149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (28149)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (28149)Memory used [KB]: 895
% 0.20/0.51  % (28149)Time elapsed: 0.112 s
% 0.20/0.51  % (28149)Instructions burned: 3 (million)
% 0.20/0.51  % (28149)------------------------------
% 0.20/0.51  % (28149)------------------------------
% 0.20/0.51  % (28137)Success in time 0.16 s
%------------------------------------------------------------------------------