TSTP Solution File: GRP183-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GRP183-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n028.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 00:17:34 EDT 2023

% Result   : Unsatisfiable 1.70s 1.79s
% Output   : CNFRefutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   98 (  92 unt;   6 typ;   0 def)
%            Number of atoms       :   92 (  91 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :  168 (   8 sgn;   0   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    inverse: $i > $i ).

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

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

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

cnf(associativity,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(left_identity,axiom,
    multiply(identity,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(monotony_lub1,axiom,
    multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

cnf(monotony_lub2,axiom,
    multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).

cnf(associativity_of_lub,axiom,
    least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).

cnf(lub_absorbtion,axiom,
    least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).

cnf(monotony_glb1,axiom,
    multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).

cnf(symmetry_of_glb,axiom,
    greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

cnf(monotony_glb2,axiom,
    multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).

cnf(glb_absorbtion,axiom,
    greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).

cnf(associativity_of_glb,axiom,
    greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).

cnf(prove_p20,negated_conjecture,
    greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p20) ).

cnf(c_0_14,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_15,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_16,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_17,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_18,plain,
    multiply(inverse(inverse(X1)),identity) = X1,
    inference(spm,[status(thm)],[c_0_17,c_0_15]) ).

cnf(c_0_19,plain,
    multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
    inference(spm,[status(thm)],[c_0_17,c_0_17]) ).

cnf(c_0_20,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_20]) ).

cnf(c_0_22,plain,
    multiply(X1,inverse(X1)) = identity,
    inference(spm,[status(thm)],[c_0_15,c_0_21]) ).

cnf(c_0_23,axiom,
    multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
    monotony_lub1 ).

cnf(c_0_24,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    symmetry_of_lub ).

cnf(c_0_25,axiom,
    multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)),
    monotony_lub2 ).

cnf(c_0_26,plain,
    multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) = identity,
    inference(spm,[status(thm)],[c_0_14,c_0_22]) ).

cnf(c_0_27,axiom,
    least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3),
    associativity_of_lub ).

cnf(c_0_28,axiom,
    least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
    lub_absorbtion ).

cnf(c_0_29,axiom,
    multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
    monotony_glb1 ).

cnf(c_0_30,axiom,
    greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
    symmetry_of_glb ).

cnf(c_0_31,plain,
    least_upper_bound(X1,multiply(X1,X2)) = multiply(X1,least_upper_bound(X2,identity)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_20]),c_0_24]) ).

cnf(c_0_32,plain,
    least_upper_bound(X1,multiply(X2,X1)) = multiply(least_upper_bound(X2,identity),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_16]),c_0_24]) ).

cnf(c_0_33,axiom,
    multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
    monotony_glb2 ).

cnf(c_0_34,plain,
    multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_26]),c_0_20]) ).

cnf(c_0_35,plain,
    least_upper_bound(X1,least_upper_bound(greatest_lower_bound(X1,X2),X3)) = least_upper_bound(X1,X3),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_36,plain,
    greatest_lower_bound(X1,multiply(X1,X2)) = multiply(X1,greatest_lower_bound(X2,identity)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_30]) ).

cnf(c_0_37,plain,
    multiply(least_upper_bound(X1,identity),X1) = multiply(X1,least_upper_bound(X1,identity)),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,plain,
    greatest_lower_bound(X1,multiply(X2,X1)) = multiply(greatest_lower_bound(X2,identity),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_16]),c_0_30]) ).

cnf(c_0_39,plain,
    multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_34]),c_0_21]) ).

cnf(c_0_40,plain,
    multiply(X1,multiply(inverse(X1),X2)) = X2,
    inference(spm,[status(thm)],[c_0_17,c_0_21]) ).

cnf(c_0_41,axiom,
    greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
    glb_absorbtion ).

cnf(c_0_42,plain,
    least_upper_bound(X1,multiply(greatest_lower_bound(X1,X2),least_upper_bound(X3,identity))) = least_upper_bound(X1,multiply(greatest_lower_bound(X1,X2),X3)),
    inference(spm,[status(thm)],[c_0_35,c_0_31]) ).

cnf(c_0_43,plain,
    multiply(greatest_lower_bound(X1,identity),least_upper_bound(X1,identity)) = multiply(least_upper_bound(X1,identity),greatest_lower_bound(X1,identity)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_44,plain,
    multiply(greatest_lower_bound(X1,identity),X1) = multiply(X1,greatest_lower_bound(X1,identity)),
    inference(spm,[status(thm)],[c_0_36,c_0_38]) ).

cnf(c_0_45,plain,
    least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_28,c_0_30]) ).

cnf(c_0_46,plain,
    multiply(inverse(X1),least_upper_bound(X1,identity)) = least_upper_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_15]),c_0_24]) ).

cnf(c_0_47,axiom,
    greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3),
    associativity_of_glb ).

cnf(c_0_48,plain,
    multiply(least_upper_bound(inverse(multiply(X1,X2)),X3),X1) = least_upper_bound(inverse(X2),multiply(X3,X1)),
    inference(spm,[status(thm)],[c_0_25,c_0_39]) ).

cnf(c_0_49,plain,
    inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_50,plain,
    greatest_lower_bound(identity,multiply(inverse(X1),X2)) = multiply(inverse(X1),greatest_lower_bound(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_15]),c_0_30]) ).

cnf(c_0_51,plain,
    greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_41,c_0_24]) ).

cnf(c_0_52,plain,
    least_upper_bound(X1,multiply(least_upper_bound(X1,identity),greatest_lower_bound(X1,identity))) = X1,
    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_42,c_0_43]),c_0_44]),c_0_31]),c_0_24]),c_0_45]),c_0_20]) ).

cnf(c_0_53,plain,
    multiply(inverse(X1),least_upper_bound(identity,X1)) = least_upper_bound(identity,inverse(X1)),
    inference(spm,[status(thm)],[c_0_46,c_0_24]) ).

cnf(c_0_54,plain,
    greatest_lower_bound(X1,greatest_lower_bound(least_upper_bound(X1,X2),X3)) = greatest_lower_bound(X1,X3),
    inference(spm,[status(thm)],[c_0_47,c_0_41]) ).

cnf(c_0_55,plain,
    multiply(inverse(identity),X1) = X1,
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

cnf(c_0_56,plain,
    multiply(least_upper_bound(multiply(X1,inverse(X2)),X3),X2) = least_upper_bound(X1,multiply(X3,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_21]) ).

cnf(c_0_57,plain,
    greatest_lower_bound(identity,multiply(inverse(least_upper_bound(X1,X2)),X2)) = multiply(inverse(least_upper_bound(X1,X2)),X2),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_58,plain,
    least_upper_bound(X1,multiply(least_upper_bound(identity,X1),greatest_lower_bound(X1,identity))) = X1,
    inference(spm,[status(thm)],[c_0_52,c_0_24]) ).

cnf(c_0_59,plain,
    multiply(inverse(X1),multiply(least_upper_bound(identity,X1),X2)) = multiply(least_upper_bound(identity,inverse(X1)),X2),
    inference(spm,[status(thm)],[c_0_14,c_0_53]) ).

cnf(c_0_60,plain,
    greatest_lower_bound(X1,multiply(least_upper_bound(X1,X2),greatest_lower_bound(X3,identity))) = greatest_lower_bound(X1,multiply(least_upper_bound(X1,X2),X3)),
    inference(spm,[status(thm)],[c_0_54,c_0_36]) ).

cnf(c_0_61,plain,
    multiply(least_upper_bound(X1,inverse(X2)),X2) = least_upper_bound(identity,multiply(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_24]) ).

cnf(c_0_62,plain,
    multiply(inverse(inverse(identity)),X1) = X1,
    inference(spm,[status(thm)],[c_0_17,c_0_55]) ).

cnf(c_0_63,plain,
    multiply(greatest_lower_bound(X1,identity),inverse(X1)) = greatest_lower_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_22]),c_0_30]) ).

cnf(c_0_64,plain,
    multiply(X1,inverse(least_upper_bound(X2,multiply(X3,X1)))) = inverse(least_upper_bound(multiply(X2,inverse(X1)),X3)),
    inference(spm,[status(thm)],[c_0_34,c_0_56]) ).

cnf(c_0_65,plain,
    least_upper_bound(identity,multiply(inverse(X1),X2)) = multiply(inverse(X1),least_upper_bound(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_24]) ).

cnf(c_0_66,plain,
    inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_67,plain,
    multiply(least_upper_bound(identity,inverse(X1)),greatest_lower_bound(X1,identity)) = identity,
    inference(rw,[status(thm)],[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_57,c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_16]),c_0_41]),c_0_59]) ).

cnf(c_0_68,plain,
    multiply(X1,greatest_lower_bound(X2,multiply(inverse(X1),X3))) = greatest_lower_bound(multiply(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_29,c_0_40]) ).

cnf(c_0_69,plain,
    inverse(identity) = identity,
    inference(spm,[status(thm)],[c_0_15,c_0_62]) ).

cnf(c_0_70,plain,
    multiply(greatest_lower_bound(identity,X1),inverse(X1)) = greatest_lower_bound(identity,inverse(X1)),
    inference(spm,[status(thm)],[c_0_63,c_0_30]) ).

cnf(c_0_71,plain,
    multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
    inference(spm,[status(thm)],[c_0_17,c_0_34]) ).

cnf(c_0_72,plain,
    multiply(X1,multiply(inverse(least_upper_bound(X1,X2)),X2)) = inverse(least_upper_bound(inverse(X1),inverse(X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_16]) ).

cnf(c_0_73,plain,
    inverse(least_upper_bound(identity,inverse(X1))) = greatest_lower_bound(X1,identity),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_67]),c_0_20]) ).

cnf(c_0_74,plain,
    multiply(inverse(greatest_lower_bound(multiply(X1,X2),X3)),X1) = inverse(greatest_lower_bound(X2,multiply(inverse(X1),X3))),
    inference(spm,[status(thm)],[c_0_39,c_0_68]) ).

cnf(c_0_75,plain,
    inverse(greatest_lower_bound(X1,identity)) = least_upper_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_67]),c_0_69]),c_0_16]) ).

cnf(c_0_76,plain,
    multiply(least_upper_bound(X1,inverse(multiply(X2,X3))),X2) = least_upper_bound(multiply(X1,X2),inverse(X3)),
    inference(spm,[status(thm)],[c_0_25,c_0_39]) ).

cnf(c_0_77,negated_conjecture,
    greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != identity,
    prove_p20 ).

cnf(c_0_78,plain,
    multiply(inverse(greatest_lower_bound(identity,X1)),greatest_lower_bound(identity,inverse(X1))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_70]) ).

cnf(c_0_79,plain,
    greatest_lower_bound(X1,greatest_lower_bound(X2,X1)) = greatest_lower_bound(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_28]),c_0_47]) ).

cnf(c_0_80,plain,
    greatest_lower_bound(inverse(X1),inverse(multiply(X1,X2))) = multiply(greatest_lower_bound(identity,inverse(X2)),inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_71]),c_0_30]) ).

cnf(c_0_81,plain,
    greatest_lower_bound(identity,inverse(X1)) = inverse(least_upper_bound(identity,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_63]),c_0_16]),c_0_69]),c_0_21]) ).

cnf(c_0_82,plain,
    multiply(inverse(least_upper_bound(identity,X1)),X1) = inverse(least_upper_bound(identity,inverse(X1))),
    inference(spm,[status(thm)],[c_0_66,c_0_53]) ).

cnf(c_0_83,plain,
    inverse(greatest_lower_bound(X1,inverse(X2))) = least_upper_bound(X2,inverse(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_16]),c_0_20]) ).

cnf(c_0_84,negated_conjecture,
    greatest_lower_bound(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))) != identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_24]),c_0_30]) ).

cnf(c_0_85,plain,
    inverse(greatest_lower_bound(identity,X1)) = least_upper_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_79]),c_0_41]),c_0_20]) ).

cnf(c_0_86,plain,
    greatest_lower_bound(inverse(X1),inverse(multiply(X1,X2))) = inverse(multiply(X1,least_upper_bound(identity,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_71]) ).

cnf(c_0_87,plain,
    multiply(inverse(least_upper_bound(identity,X1)),X1) = greatest_lower_bound(X1,identity),
    inference(rw,[status(thm)],[c_0_82,c_0_73]) ).

cnf(c_0_88,plain,
    inverse(greatest_lower_bound(X1,X2)) = least_upper_bound(inverse(X2),inverse(X1)),
    inference(spm,[status(thm)],[c_0_83,c_0_21]) ).

cnf(c_0_89,negated_conjecture,
    greatest_lower_bound(least_upper_bound(identity,a),least_upper_bound(identity,inverse(a))) != identity,
    inference(rw,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_90,plain,
    greatest_lower_bound(least_upper_bound(identity,X1),least_upper_bound(identity,inverse(X1))) = identity,
    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_86,c_0_87]),c_0_21]),c_0_88]),c_0_69]),c_0_15]),c_0_69]) ).

cnf(c_0_91,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP183-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 02:43:25 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 1.70/1.79  % Version  : CSE_E---1.5
% 1.70/1.79  % Problem  : theBenchmark.p
% 1.70/1.79  % Proof found
% 1.70/1.79  % SZS status Theorem for theBenchmark.p
% 1.70/1.79  % SZS output start Proof
% See solution above
% 1.70/1.80  % Total time : 1.217000 s
% 1.70/1.80  % SZS output end Proof
% 1.70/1.80  % Total time : 1.220000 s
%------------------------------------------------------------------------------