TSTP Solution File: KLE028+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KLE028+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 05:25:45 EDT 2023
% Result : Theorem 1.69s 1.73s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 106 ( 56 unt; 15 typ; 0 def)
% Number of atoms : 160 ( 76 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 119 ( 50 ~; 46 |; 15 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 7 >; 4 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 108 ( 1 sgn; 56 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
addition: ( $i * $i ) > $i ).
tff(decl_23,type,
zero: $i ).
tff(decl_24,type,
multiplication: ( $i * $i ) > $i ).
tff(decl_25,type,
one: $i ).
tff(decl_26,type,
leq: ( $i * $i ) > $o ).
tff(decl_27,type,
test: $i > $o ).
tff(decl_28,type,
complement: ( $i * $i ) > $o ).
tff(decl_29,type,
c: $i > $i ).
tff(decl_30,type,
esk1_1: $i > $i ).
tff(decl_31,type,
esk2_0: $i ).
tff(decl_32,type,
esk3_0: $i ).
tff(decl_33,type,
esk4_0: $i ).
tff(decl_34,type,
esk5_0: $i ).
tff(decl_35,type,
esk6_0: $i ).
tff(decl_36,type,
esk7_0: $i ).
fof(goals,conjecture,
! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> ( leq(addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))),addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))))
& leq(addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))),addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(test_deMorgan1,axiom,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(c_0_11,negated_conjecture,
~ ! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> ( leq(addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))),addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))))
& leq(addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))),addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7))))) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_12,plain,
! [X38,X39] :
( ( c(X38) != X39
| complement(X38,X39)
| ~ test(X38) )
& ( ~ complement(X38,X39)
| c(X38) = X39
| ~ test(X38) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
fof(c_0_13,plain,
! [X32,X34,X35] :
( ( ~ test(X32)
| complement(esk1_1(X32),X32) )
& ( ~ complement(X35,X34)
| test(X34) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])]) ).
fof(c_0_14,negated_conjecture,
( test(esk6_0)
& test(esk7_0)
& ( ~ leq(addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))))
| ~ leq(addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_15,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X36,X37] :
( ( multiplication(X36,X37) = zero
| ~ complement(X37,X36) )
& ( multiplication(X37,X36) = zero
| ~ complement(X37,X36) )
& ( addition(X36,X37) = one
| ~ complement(X37,X36) )
& ( multiplication(X36,X37) != zero
| multiplication(X37,X36) != zero
| addition(X36,X37) != one
| complement(X37,X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])]) ).
fof(c_0_17,plain,
! [X10,X11] : addition(X10,X11) = addition(X11,X10),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_18,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
test(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
test(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( complement(X2,X1)
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
complement(esk1_1(esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( test(X2)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_29,negated_conjecture,
complement(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
( c(X1) = X2
| ~ complement(X1,X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,plain,
( complement(X1,X2)
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,negated_conjecture,
addition(esk7_0,esk1_1(esk7_0)) = one,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
multiplication(esk7_0,esk1_1(esk7_0)) = zero,
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_34,negated_conjecture,
multiplication(esk1_1(esk7_0),esk7_0) = zero,
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_35,negated_conjecture,
test(c(esk6_0)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
complement(esk7_0,c(esk7_0)),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_37,negated_conjecture,
( c(esk7_0) = X1
| ~ complement(esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_38,negated_conjecture,
complement(esk7_0,esk1_1(esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_39,negated_conjecture,
complement(c(esk6_0),c(c(esk6_0))),
inference(spm,[status(thm)],[c_0_20,c_0_35]) ).
cnf(c_0_40,plain,
( addition(X1,X2) = one
| ~ complement(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_41,negated_conjecture,
complement(esk1_1(esk6_0),esk6_0),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_42,negated_conjecture,
test(c(esk7_0)),
inference(spm,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
esk1_1(esk7_0) = c(esk7_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_44,plain,
! [X41,X42] :
( ~ test(X41)
| ~ test(X42)
| c(addition(X41,X42)) = multiplication(c(X41),c(X42)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_deMorgan1])]) ).
cnf(c_0_45,negated_conjecture,
test(c(c(esk6_0))),
inference(spm,[status(thm)],[c_0_28,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
addition(esk6_0,esk1_1(esk6_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_23]) ).
cnf(c_0_47,negated_conjecture,
multiplication(esk6_0,esk1_1(esk6_0)) = zero,
inference(spm,[status(thm)],[c_0_26,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
multiplication(esk1_1(esk6_0),esk6_0) = zero,
inference(spm,[status(thm)],[c_0_27,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( c(c(esk7_0)) = X1
| ~ complement(c(esk7_0),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
complement(c(esk7_0),esk7_0),
inference(rw,[status(thm)],[c_0_25,c_0_43]) ).
cnf(c_0_51,plain,
( c(addition(X1,X2)) = multiplication(c(X1),c(X2))
| ~ test(X1)
| ~ test(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
complement(c(c(esk6_0)),c(c(c(esk6_0)))),
inference(spm,[status(thm)],[c_0_20,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( c(esk6_0) = X1
| ~ complement(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_21]) ).
cnf(c_0_54,negated_conjecture,
complement(esk6_0,esk1_1(esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_55,negated_conjecture,
c(c(esk7_0)) = esk7_0,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( c(addition(X1,esk7_0)) = multiplication(c(X1),c(esk7_0))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_19]) ).
cnf(c_0_57,negated_conjecture,
test(c(c(c(esk6_0)))),
inference(spm,[status(thm)],[c_0_28,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
esk1_1(esk6_0) = c(esk6_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( c(addition(X1,esk6_0)) = multiplication(c(X1),c(esk6_0))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_21]) ).
cnf(c_0_60,negated_conjecture,
( c(addition(X1,c(esk7_0))) = multiplication(c(X1),esk7_0)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_42]),c_0_55]) ).
fof(c_0_61,plain,
! [X22,X23,X24] : multiplication(X22,addition(X23,X24)) = addition(multiplication(X22,X23),multiplication(X22,X24)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_62,plain,
! [X12,X13,X14] : addition(X14,addition(X13,X12)) = addition(addition(X14,X13),X12),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_63,plain,
! [X17,X18,X19] : multiplication(X17,multiplication(X18,X19)) = multiplication(multiplication(X17,X18),X19),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_64,negated_conjecture,
c(addition(esk7_0,c(c(c(esk6_0))))) = multiplication(c(c(c(c(esk6_0)))),c(esk7_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_23]) ).
cnf(c_0_65,negated_conjecture,
( c(c(esk6_0)) = X1
| ~ complement(c(esk6_0),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_66,negated_conjecture,
complement(c(esk6_0),esk6_0),
inference(rw,[status(thm)],[c_0_41,c_0_58]) ).
cnf(c_0_67,negated_conjecture,
c(addition(esk6_0,c(esk7_0))) = multiplication(esk7_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_42]),c_0_23]),c_0_55]) ).
cnf(c_0_68,negated_conjecture,
c(addition(c(esk7_0),c(c(c(esk6_0))))) = multiplication(c(c(c(c(esk6_0)))),esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_57]),c_0_23]) ).
cnf(c_0_69,negated_conjecture,
c(addition(esk6_0,esk7_0)) = multiplication(c(esk6_0),c(esk7_0)),
inference(spm,[status(thm)],[c_0_56,c_0_21]) ).
fof(c_0_70,plain,
! [X30,X31] :
( ( ~ leq(X30,X31)
| addition(X30,X31) = X31 )
& ( addition(X30,X31) != X31
| leq(X30,X31) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
fof(c_0_71,plain,
! [X16] : addition(X16,X16) = X16,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_72,negated_conjecture,
( ~ leq(addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))))
| ~ leq(addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_73,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_74,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_75,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,negated_conjecture,
multiplication(c(c(c(c(esk6_0)))),c(esk7_0)) = multiplication(c(esk7_0),c(c(c(c(esk6_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_64]),c_0_57]),c_0_19])]) ).
cnf(c_0_77,negated_conjecture,
c(c(esk6_0)) = esk6_0,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_78,negated_conjecture,
multiplication(c(esk6_0),esk7_0) = multiplication(esk7_0,c(esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_67]),c_0_55]),c_0_42]),c_0_21])]) ).
cnf(c_0_79,negated_conjecture,
multiplication(c(c(c(c(esk6_0)))),esk7_0) = multiplication(esk7_0,c(c(c(c(esk6_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_68]),c_0_55]),c_0_57]),c_0_42])]) ).
cnf(c_0_80,negated_conjecture,
multiplication(c(esk7_0),c(esk6_0)) = multiplication(c(esk6_0),c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_19]),c_0_23]),c_0_69]) ).
cnf(c_0_81,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_82,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_83,negated_conjecture,
( ~ leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))))
| ~ leq(addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)))))) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_73]),c_0_74]),c_0_73]),c_0_73]),c_0_74]),c_0_73]),c_0_73]),c_0_74]),c_0_73]),c_0_73]),c_0_74]) ).
cnf(c_0_84,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(c(esk7_0),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_75,c_0_76]),c_0_75]),c_0_77]),c_0_77]),c_0_77]),c_0_77]) ).
cnf(c_0_85,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_23]),c_0_74]) ).
cnf(c_0_86,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk7_0,X1)) = multiplication(esk7_0,multiplication(c(esk6_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_78]),c_0_75]) ).
cnf(c_0_87,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(esk7_0,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_75,c_0_79]),c_0_75]),c_0_77]),c_0_77]),c_0_77]),c_0_77]) ).
cnf(c_0_88,negated_conjecture,
multiplication(c(esk7_0),multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_80]),c_0_75]) ).
cnf(c_0_89,plain,
leq(X1,X1),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_87]),c_0_88]),c_0_85]),c_0_86]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE028+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 11:32:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 1.69/1.73 % Version : CSE_E---1.5
% 1.69/1.73 % Problem : theBenchmark.p
% 1.69/1.73 % Proof found
% 1.69/1.73 % SZS status Theorem for theBenchmark.p
% 1.69/1.73 % SZS output start Proof
% See solution above
% 1.69/1.74 % Total time : 1.173000 s
% 1.69/1.74 % SZS output end Proof
% 1.69/1.74 % Total time : 1.175000 s
%------------------------------------------------------------------------------