%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM847+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n007.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 : Thu Aug 31 10:41:00 EDT 2023

% Result   : Theorem 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   32 (  16 unt;  16 typ;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   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  :   22 (  12   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn;  14   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    vd436: $i ).

tff(decl_23,type,
    vd437: $i ).

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

tff(decl_25,type,
    vd439: $i ).

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

tff(decl_27,type,
    vsucc: $i > $i ).

tff(decl_28,type,
    v1: $i ).

tff(decl_29,type,
    less: ( $i * $i ) > $o ).

tff(decl_30,type,
    leq: ( $i * $i ) > $o ).

tff(decl_31,type,
    greater: ( $i * $i ) > $o ).

tff(decl_32,type,
    geq: ( $i * $i ) > $o ).

tff(decl_33,type,
    vskolem2: $i > $i ).

tff(decl_34,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_35,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_36,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_37,type,
    esk4_2: ( $i * $i ) > $i ).

fof('ass(cond(270, 0), 0)',axiom,
    ! [X1,X2] : vmul(X1,X2) = vmul(X2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).

fof('ass(cond(61, 0), 0)',axiom,
    ! [X71,X72] : vplus(X72,X71) = vplus(X71,X72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof('ass(cond(33, 0), 0)',axiom,
    ! [X76,X77,X78] : vplus(vplus(X76,X77),X78) = vplus(X76,vplus(X77,X78)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof('holds(286, 441, 3)',conjecture,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 3)') ).

fof(c_0_4,plain,
    ! [X88,X89] : vmul(X88,X89) = vmul(X89,X88),
    inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).

fof(c_0_5,plain,
    ! [X192,X193] : vplus(X193,X192) = vplus(X192,X193),
    inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).

fof(c_0_6,plain,
    ! [X197,X198,X199] : vplus(vplus(X197,X198),X199) = vplus(X197,vplus(X198,X199)),
    inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).

fof(c_0_7,negated_conjecture,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(286, 441, 3)'])]) ).

cnf(c_0_8,plain,
    vmul(X1,X2) = vmul(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    vplus(X1,X2) = vplus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    vmul(X1,X2) = vmul(X2,X1),
    c_0_8 ).

cnf(c_0_13,plain,
    vplus(X1,X2) = vplus(X2,X1),
    c_0_9 ).

cnf(c_0_14,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    c_0_10 ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(ar,[status(thm)],[c_0_11,c_0_12,c_0_13,c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM847+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n007.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   : Fri Aug 25 08:01:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.59  % Total time : 0.008000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.012000 s
%------------------------------------------------------------------------------