%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW421-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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 00:17:42 EDT 2023

% Result   : Unsatisfiable 0.19s 0.60s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   21 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :   18 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    sep: ( $i * $i ) > $i ).

tff(decl_23,type,
    lseg: ( $i * $i ) > $i ).

tff(decl_24,type,
    nil: $i ).

tff(decl_25,type,
    next: ( $i * $i ) > $i ).

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

tff(decl_27,type,
    x1: $i ).

tff(decl_28,type,
    x2: $i ).

tff(decl_29,type,
    x3: $i ).

tff(decl_30,type,
    emp: $i ).

cnf(unfolding_2,axiom,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).

cnf(associative_commutative,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(premise_4,hypothesis,
    heap(sep(lseg(x2,x3),sep(next(x1,x2),emp))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).

cnf(premise_2,hypothesis,
    x2 != x1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

cnf(conclusion_1,negated_conjecture,
    ~ heap(sep(lseg(x1,x3),emp)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).

cnf(c_0_5,axiom,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
    unfolding_2 ).

cnf(c_0_6,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative ).

cnf(c_0_7,plain,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(lseg(X2,X3),sep(next(X1,X2),X4))) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,hypothesis,
    heap(sep(lseg(x2,x3),sep(next(x1,x2),emp))),
    premise_4 ).

cnf(c_0_9,hypothesis,
    x2 != x1,
    premise_2 ).

cnf(c_0_10,negated_conjecture,
    ~ heap(sep(lseg(x1,x3),emp)),
    conclusion_1 ).

cnf(c_0_11,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWW421-1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n017.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
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 21:10:57 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 0.19/0.60  % Version  : CSE_E---1.5
% 0.19/0.60  % Problem  : theBenchmark.p
% 0.19/0.60  % Proof found
% 0.19/0.60  % SZS status Theorem for theBenchmark.p
% 0.19/0.60  % SZS output start Proof
% See solution above
% 0.19/0.60  % Total time : 0.013000 s
% 0.19/0.60  % SZS output end Proof
% 0.19/0.60  % Total time : 0.016000 s
%------------------------------------------------------------------------------