TSTP Solution File: LAT224-10 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LAT224-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n019.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 06:00:05 EDT 2023

% Result   : Unsatisfiable 95.67s 96.13s
% Output   : CNFRefutation 95.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  109 ( 101 unt;   8 typ;   0 def)
%            Number of atoms       :  101 ( 100 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    9 (   4   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :  182 (  45 sgn;   0   !;   0   ?;   0   :)

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

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

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

tff(decl_25,type,
    complement: $i > $i ).

tff(decl_26,type,
    one: $i ).

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

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

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

cnf(prove_distributivity_hypothesis,hypothesis,
    meet(b,a) = a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).

cnf(commutativity_of_meet,axiom,
    meet(X1,X2) = meet(X2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).

cnf(absorption1,axiom,
    meet(X1,join(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).

cnf(complement_join,axiom,
    join(X1,complement(X1)) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).

cnf(associativity_of_meet,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).

cnf(absorption2,axiom,
    join(X1,meet(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).

cnf(commutativity_of_join,axiom,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).

cnf(associativity_of_join,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).

cnf(complement_meet,axiom,
    meet(X1,complement(X1)) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).

cnf(equation_H8,axiom,
    meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X2),meet(X1,join(X2,meet(X3,join(X1,meet(X2,X3)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H8) ).

cnf(meet_join_complement,axiom,
    ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(prove_distributivity,negated_conjecture,
    join(complement(b),complement(a)) != complement(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).

cnf(c_0_13,hypothesis,
    meet(b,a) = a,
    prove_distributivity_hypothesis ).

cnf(c_0_14,axiom,
    meet(X1,X2) = meet(X2,X1),
    commutativity_of_meet ).

cnf(c_0_15,axiom,
    meet(X1,join(X1,X2)) = X1,
    absorption1 ).

cnf(c_0_16,axiom,
    join(X1,complement(X1)) = one,
    complement_join ).

cnf(c_0_17,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    associativity_of_meet ).

cnf(c_0_18,hypothesis,
    meet(a,b) = a,
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    meet(X1,one) = X1,
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,axiom,
    join(X1,meet(X1,X2)) = X1,
    absorption2 ).

cnf(c_0_21,hypothesis,
    meet(a,meet(b,X1)) = meet(a,X1),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    meet(one,X1) = X1,
    inference(spm,[status(thm)],[c_0_19,c_0_14]) ).

cnf(c_0_23,axiom,
    join(X1,X2) = join(X2,X1),
    commutativity_of_join ).

cnf(c_0_24,plain,
    join(X1,meet(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_14]) ).

cnf(c_0_25,hypothesis,
    meet(a,join(b,X1)) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_18]) ).

cnf(c_0_26,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    associativity_of_join ).

cnf(c_0_27,plain,
    join(one,X1) = one,
    inference(spm,[status(thm)],[c_0_15,c_0_22]) ).

cnf(c_0_28,plain,
    meet(X1,join(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_15,c_0_23]) ).

cnf(c_0_29,hypothesis,
    join(b,join(X1,a)) = join(b,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_30,plain,
    join(X1,join(X2,X1)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_15]),c_0_26]) ).

cnf(c_0_31,plain,
    join(X1,join(complement(X1),X2)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_27]) ).

cnf(c_0_32,plain,
    join(X1,one) = one,
    inference(spm,[status(thm)],[c_0_27,c_0_23]) ).

cnf(c_0_33,hypothesis,
    meet(join(X1,a),join(b,X1)) = join(X1,a),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    join(complement(X1),join(X2,X1)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_26]) ).

cnf(c_0_35,plain,
    meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_17,c_0_28]) ).

cnf(c_0_36,hypothesis,
    meet(b,join(a,meet(X1,b))) = join(a,meet(X1,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_23]),c_0_14]),c_0_23]) ).

cnf(c_0_37,plain,
    join(X1,complement(meet(X2,X1))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_23]) ).

cnf(c_0_38,plain,
    meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
    inference(spm,[status(thm)],[c_0_17,c_0_15]) ).

cnf(c_0_39,hypothesis,
    meet(X1,join(a,meet(X1,b))) = meet(X1,b),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    join(complement(meet(X1,X2)),meet(join(X1,X3),X2)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_23]) ).

cnf(c_0_41,hypothesis,
    meet(X1,join(a,meet(b,join(X1,X2)))) = meet(X1,b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_38]),c_0_14]) ).

cnf(c_0_42,plain,
    join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_20,c_0_26]) ).

cnf(c_0_43,axiom,
    meet(X1,complement(X1)) = zero,
    complement_meet ).

cnf(c_0_44,plain,
    meet(X1,meet(X2,X1)) = meet(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_17]) ).

cnf(c_0_45,hypothesis,
    join(complement(meet(X1,b)),meet(b,join(X1,X2))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_26]),c_0_41]),c_0_14]) ).

cnf(c_0_46,plain,
    join(X1,join(X2,meet(join(X2,X1),X3))) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_42,c_0_23]) ).

cnf(c_0_47,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_43]) ).

cnf(c_0_48,hypothesis,
    join(meet(a,X1),meet(b,X1)) = meet(b,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_21]),c_0_23]) ).

cnf(c_0_49,plain,
    meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
    inference(spm,[status(thm)],[c_0_14,c_0_17]) ).

cnf(c_0_50,axiom,
    meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X2),meet(X1,join(X2,meet(X3,join(X1,meet(X2,X3)))))),
    equation_H8 ).

cnf(c_0_51,plain,
    meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_44]),c_0_17]),c_0_17]) ).

cnf(c_0_52,hypothesis,
    join(complement(meet(X1,b)),meet(b,join(X2,X1))) = one,
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_47,c_0_23]) ).

cnf(c_0_54,plain,
    join(X1,join(X2,complement(X1))) = one,
    inference(spm,[status(thm)],[c_0_31,c_0_23]) ).

cnf(c_0_55,plain,
    join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_24,c_0_26]) ).

cnf(c_0_56,hypothesis,
    join(a,meet(b,join(X1,a))) = meet(b,join(X1,a)),
    inference(spm,[status(thm)],[c_0_48,c_0_28]) ).

cnf(c_0_57,plain,
    join(X1,meet(X2,meet(X1,X3))) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_49]) ).

cnf(c_0_58,plain,
    meet(X1,meet(join(X2,meet(X1,X3)),join(X2,meet(X3,join(X1,meet(X2,X3)))))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X3))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_50]),c_0_17]),c_0_51]),c_0_14]) ).

cnf(c_0_59,hypothesis,
    join(complement(meet(b,X1)),meet(b,join(X2,X1))) = one,
    inference(spm,[status(thm)],[c_0_52,c_0_14]) ).

cnf(c_0_60,plain,
    meet(X1,join(complement(X1),meet(X2,join(X1,meet(complement(X1),X2))))) = meet(X1,join(complement(X1),meet(X1,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_53]) ).

cnf(c_0_61,plain,
    meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_38]) ).

cnf(c_0_62,plain,
    join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_63,plain,
    join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)),
    inference(spm,[status(thm)],[c_0_30,c_0_26]) ).

cnf(c_0_64,plain,
    join(X1,join(X2,join(complement(X1),X3))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_54]),c_0_27]),c_0_26]) ).

cnf(c_0_65,hypothesis,
    join(X1,meet(b,join(X1,a))) = join(X1,a),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,plain,
    join(X1,join(meet(X2,X3),meet(X2,join(X1,meet(X3,join(X2,meet(X1,X3))))))) = join(X1,meet(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_26]) ).

cnf(c_0_67,hypothesis,
    join(complement(meet(b,X1)),meet(b,join(complement(b),meet(b,X1)))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_68,plain,
    join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_30]),c_0_62]) ).

cnf(c_0_69,plain,
    join(X1,join(X2,complement(meet(X1,X3)))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_54]),c_0_32]) ).

cnf(c_0_70,plain,
    join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
    inference(spm,[status(thm)],[c_0_23,c_0_26]) ).

cnf(c_0_71,plain,
    join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_26,c_0_24]) ).

cnf(c_0_72,plain,
    join(complement(X1),join(X2,join(X1,X3))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_32]),c_0_26]) ).

cnf(c_0_73,hypothesis,
    join(X1,join(meet(b,join(X1,a)),X2)) = join(X1,join(a,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_65]),c_0_26]) ).

cnf(c_0_74,plain,
    join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_23]),c_0_26]) ).

cnf(c_0_75,hypothesis,
    join(b,meet(complement(meet(b,X1)),join(complement(b),meet(b,X1)))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_19]),c_0_68]),c_0_16]),c_0_19]),c_0_69]) ).

cnf(c_0_76,plain,
    join(meet(X1,X2),join(X3,join(X4,X2))) = join(X4,join(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_26]) ).

cnf(c_0_77,hypothesis,
    join(X1,join(a,join(complement(meet(b,join(X1,a))),X2))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_74]) ).

cnf(c_0_78,axiom,
    ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2,
    meet_join_complement ).

cnf(c_0_79,hypothesis,
    join(b,meet(join(a,complement(b)),complement(meet(b,join(a,complement(b)))))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_65]),c_0_23]),c_0_23]),c_0_14]) ).

cnf(c_0_80,plain,
    meet(X1,meet(X2,complement(meet(X1,X2)))) = zero,
    inference(spm,[status(thm)],[c_0_43,c_0_17]) ).

cnf(c_0_81,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_82,plain,
    meet(X1,zero) = zero,
    inference(spm,[status(thm)],[c_0_24,c_0_53]) ).

cnf(c_0_83,hypothesis,
    join(X1,join(a,complement(meet(b,join(a,meet(X2,X1)))))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_23]),c_0_23]),c_0_26]) ).

cnf(c_0_84,hypothesis,
    meet(join(a,complement(b)),complement(meet(b,join(a,complement(b))))) = complement(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]),c_0_81]) ).

cnf(c_0_85,hypothesis,
    meet(a,meet(X1,complement(meet(b,X1)))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_80]),c_0_82]) ).

cnf(c_0_86,plain,
    ifeq(join(X1,X2),one,ifeq(meet(X2,X1),zero,complement(X1),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_78,c_0_14]) ).

cnf(c_0_87,plain,
    meet(X1,join(X2,join(X1,X3))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_15]) ).

cnf(c_0_88,hypothesis,
    join(meet(X1,a),meet(b,X1)) = meet(b,X1),
    inference(spm,[status(thm)],[c_0_48,c_0_14]) ).

cnf(c_0_89,plain,
    ifeq(join(X1,X2),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_78,c_0_23]) ).

cnf(c_0_90,hypothesis,
    join(a,complement(meet(b,join(a,complement(b))))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_30]),c_0_23]) ).

cnf(c_0_91,hypothesis,
    meet(a,complement(meet(b,join(a,X1)))) = zero,
    inference(spm,[status(thm)],[c_0_85,c_0_38]) ).

cnf(c_0_92,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_43]),c_0_23]),c_0_16]),c_0_81]),c_0_81]) ).

cnf(c_0_93,hypothesis,
    meet(X1,meet(a,join(X2,meet(b,X1)))) = meet(X1,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_17]) ).

cnf(c_0_94,plain,
    ifeq(join(X1,meet(X2,complement(meet(X1,X2)))),one,complement(X1),meet(X2,complement(meet(X1,X2)))) = meet(X2,complement(meet(X1,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_80]),c_0_81]) ).

cnf(c_0_95,hypothesis,
    meet(b,join(a,complement(b))) = a,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_14]),c_0_91]),c_0_92]),c_0_81]),c_0_81]) ).

cnf(c_0_96,hypothesis,
    join(b,meet(complement(a),join(a,complement(b)))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_93]),c_0_14]),c_0_18]),c_0_14]),c_0_18]),c_0_23]) ).

cnf(c_0_97,negated_conjecture,
    join(complement(b),complement(a)) != complement(a),
    prove_distributivity ).

cnf(c_0_98,hypothesis,
    meet(complement(a),join(a,complement(b))) = complement(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_14]),c_0_96]),c_0_14]),c_0_81]),c_0_14]) ).

cnf(c_0_99,negated_conjecture,
    join(complement(a),complement(b)) != complement(a),
    inference(rw,[status(thm)],[c_0_97,c_0_23]) ).

cnf(c_0_100,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_98]),c_0_99]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LAT224-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.34  % Computer : n019.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Thu Aug 24 08:00:28 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.19/0.54  start to proof: theBenchmark
% 95.67/96.13  % Version  : CSE_E---1.5
% 95.67/96.13  % Problem  : theBenchmark.p
% 95.67/96.13  % Proof found
% 95.67/96.13  % SZS status Theorem for theBenchmark.p
% 95.67/96.13  % SZS output start Proof
% See solution above
% 95.67/96.14  % Total time : 95.150000 s
% 95.67/96.14  % SZS output end Proof
% 95.67/96.14  % Total time : 95.156000 s
%------------------------------------------------------------------------------