%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN079-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n005.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 : Fri Sep  1 01:49:59 EDT 2023

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   15 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    a: $i ).

tff(decl_23,type,
    b: $i ).

tff(decl_24,type,
    f: ( $i * $i ) > $i ).

tff(decl_25,type,
    c: $i ).

tff(decl_26,type,
    big_f: ( $i * $i ) > $o ).

cnf(clause_3,axiom,
    ( big_f(X1,X3)
    | ~ big_f(X1,X2)
    | ~ big_f(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_2,axiom,
    big_f(f(b,c),f(a,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(prove_this,negated_conjecture,
    ~ big_f(f(a,b),f(a,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(clause_1,axiom,
    big_f(f(a,b),f(b,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(c_0_4,axiom,
    ( big_f(X1,X3)
    | ~ big_f(X1,X2)
    | ~ big_f(X2,X3) ),
    clause_3 ).

cnf(c_0_5,axiom,
    big_f(f(b,c),f(a,c)),
    clause_2 ).

cnf(c_0_6,negated_conjecture,
    ~ big_f(f(a,b),f(a,c)),
    prove_this ).

cnf(c_0_7,plain,
    ( big_f(X1,f(a,c))
    | ~ big_f(X1,f(b,c)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,axiom,
    big_f(f(a,b),f(b,c)),
    clause_1 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN079-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n005.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   : Sat Aug 26 20:51:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.58  % Version  : CSE_E---1.5
% 0.19/0.58  % Problem  : theBenchmark.p
% 0.19/0.58  % Proof found
% 0.19/0.58  % SZS status Theorem for theBenchmark.p
% 0.19/0.58  % SZS output start Proof
% See solution above
% 0.19/0.58  % Total time : 0.003000 s
% 0.19/0.58  % SZS output end Proof
% 0.19/0.58  % Total time : 0.006000 s
%------------------------------------------------------------------------------