%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KLE028+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:58:40 PM UTC 2026
% Result : Theorem 11.26s 2.14s
% Output : CNFRefutation 11.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 141 ( 84 unt; 0 def)
% Number of atoms : 237 ( 147 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 177 ( 81 ~; 71 |; 16 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% 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 : 166 ( 1 sgn 72 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( addition(X4,X5) = one
& multiplication(X5,X4) = zero
& multiplication(X4,X5) = zero ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(goals,conjecture,
! [X4,X5,X6,X7,X8,X9] :
( ( test(X9)
& test(X8) )
=> ( 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)))))
& 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))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(test_deMorgan2,axiom,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan2) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(test_deMorgan1,axiom,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(c_0_16,plain,
! [X38,X39] :
( ( ~ test(X38)
| c(X38) = X39
| ~ complement(X38,X39) )
& ( ~ test(X38)
| complement(X38,X39)
| c(X38) != X39 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])])]) ).
fof(c_0_17,plain,
! [X36,X37] :
( ( complement(X37,X36)
| addition(X36,X37) != one
| multiplication(X37,X36) != zero
| multiplication(X36,X37) != zero )
& ( ~ complement(X37,X36)
| addition(X36,X37) = one )
& ( ~ complement(X37,X36)
| multiplication(X37,X36) = zero )
& ( ~ complement(X37,X36)
| multiplication(X36,X37) = zero ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])])]) ).
cnf(c_0_18,plain,
( ~ test(X1)
| c(X1) != X2
| complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,negated_conjecture,
~ ! [X4,X5,X6,X7,X8,X9] :
( ( test(X9)
& test(X8) )
=> ( 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)))))
& 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))))) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_20,plain,
( ~ complement(X2,X1)
| multiplication(X1,X2) = zero ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( ~ test(X1)
| complement(X1,c(X1)) ),
inference(er,[status(thm)],[c_0_18]) ).
fof(c_0_22,negated_conjecture,
( ( ~ 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)))))
| ~ 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))))) )
& test(esk7_0)
& test(esk6_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_23,plain,
( ~ test(X1)
| multiplication(c(X1),X1) = zero ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
test(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,negated_conjecture,
zero = multiplication(c(esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_26,plain,
! [X10,X11] : addition(X10,X11) = addition(X11,X10),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_27,plain,
( ~ test(X1)
| multiplication(c(X1),X1) = multiplication(c(esk7_0),esk7_0) ),
inference(rw,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
test(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X15] : addition(X15,zero) = X15,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_30,plain,
( ~ complement(X2,X1)
| addition(X1,X2) = one ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( ~ complement(X1,X2)
| multiplication(X1,X2) = zero ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_33,negated_conjecture,
multiplication(c(esk7_0),esk7_0) = multiplication(c(esk6_0),esk6_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( ~ test(X1)
| addition(X1,c(X1)) = one ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_21]),c_0_31]) ).
cnf(c_0_36,plain,
( ~ complement(X1,X2)
| multiplication(X1,X2) = multiplication(c(esk6_0),esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_25]),c_0_33]) ).
cnf(c_0_37,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_38,plain,
( addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_39,plain,
! [X43,X44] :
( c(multiplication(X43,X44)) = addition(c(X43),c(X44))
| ~ test(X44)
| ~ test(X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_deMorgan2])])]) ).
fof(c_0_40,plain,
! [X21] : multiplication(one,X21) = X21,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_41,negated_conjecture,
one = addition(esk7_0,c(esk7_0)),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_42,plain,
( ~ test(X1)
| multiplication(X1,c(X1)) = multiplication(c(esk6_0),esk6_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_21]) ).
cnf(c_0_43,plain,
addition(multiplication(c(esk7_0),esk7_0),X1) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_25]) ).
cnf(c_0_44,plain,
( addition(X2,X1) != one
| multiplication(X2,X1) != multiplication(c(esk7_0),esk7_0)
| multiplication(X1,X2) != multiplication(c(esk7_0),esk7_0)
| complement(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_25]),c_0_25]) ).
fof(c_0_45,plain,
! [X32,X34,X35] :
( ( test(X34)
| ~ complement(X35,X34) )
& ( complement(esk1_1(X32),X32)
| ~ test(X32) ) ),
inference(fof_nnf,[status(thm)],[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])])])])])]) ).
cnf(c_0_46,plain,
( ~ test(X2)
| ~ test(X1)
| c(multiplication(X1,X2)) = addition(c(X1),c(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_47,plain,
! [X16] : addition(X16,X16) = X16,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_48,plain,
! [X25,X26,X27] : multiplication(addition(X25,X26),X27) = addition(multiplication(X25,X27),multiplication(X26,X27)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_49,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
( ~ test(X1)
| addition(X1,c(X1)) = addition(esk7_0,c(esk7_0)) ),
inference(rw,[status(thm)],[c_0_35,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
multiplication(c(esk6_0),esk6_0) = multiplication(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_42,c_0_28]) ).
cnf(c_0_52,plain,
addition(multiplication(c(esk6_0),esk6_0),X1) = X1,
inference(rw,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_53,plain,
( one != addition(esk7_0,c(esk7_0))
| multiplication(c(esk7_0),esk7_0) != multiplication(esk7_0,c(esk7_0))
| complement(c(esk7_0),esk7_0) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
( ~ complement(X1,X2)
| test(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,negated_conjecture,
( ~ test(X1)
| c(multiplication(X1,esk6_0)) = addition(c(X1),c(esk6_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_28]) ).
cnf(c_0_56,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,plain,
addition(X1,multiplication(c(esk6_0),esk6_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_25]),c_0_33]) ).
cnf(c_0_59,plain,
multiplication(addition(esk7_0,c(esk7_0)),X1) = X1,
inference(rw,[status(thm)],[c_0_49,c_0_41]) ).
cnf(c_0_60,negated_conjecture,
addition(esk7_0,c(esk7_0)) = addition(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_50,c_0_28]) ).
cnf(c_0_61,negated_conjecture,
multiplication(c(esk7_0),esk7_0) = multiplication(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[c_0_33,c_0_51]) ).
cnf(c_0_62,plain,
addition(multiplication(esk6_0,c(esk6_0)),X1) = X1,
inference(rw,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_63,plain,
( ~ test(X1)
| ~ complement(X1,X2)
| c(X1) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_64,plain,
( multiplication(esk7_0,c(esk7_0)) != multiplication(c(esk6_0),esk6_0)
| complement(c(esk7_0),esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_33]),c_0_41])]) ).
cnf(c_0_65,plain,
( ~ test(X1)
| test(c(X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_21]) ).
cnf(c_0_66,negated_conjecture,
c(multiplication(esk6_0,esk6_0)) = c(esk6_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_28]),c_0_56]) ).
cnf(c_0_67,plain,
multiplication(addition(X1,c(esk6_0)),esk6_0) = multiplication(X1,esk6_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
multiplication(addition(esk6_0,c(esk6_0)),X1) = X1,
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,negated_conjecture,
( ~ test(X1)
| c(multiplication(X1,esk7_0)) = addition(c(X1),c(esk7_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_24]) ).
cnf(c_0_70,negated_conjecture,
multiplication(addition(c(esk7_0),X1),esk7_0) = multiplication(X1,esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_61]),c_0_62]) ).
cnf(c_0_71,plain,
( ~ test(c(esk7_0))
| multiplication(esk7_0,c(esk7_0)) != multiplication(c(esk6_0),esk6_0)
| c(c(esk7_0)) = esk7_0 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( ~ test(multiplication(esk6_0,esk6_0))
| test(c(esk6_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,plain,
multiplication(esk6_0,esk6_0) = esk6_0,
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_74,plain,
! [X41,X42] :
( c(addition(X41,X42)) = multiplication(c(X41),c(X42))
| ~ test(X42)
| ~ test(X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_deMorgan1])])]) ).
cnf(c_0_75,negated_conjecture,
c(multiplication(esk7_0,esk7_0)) = c(esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_24]),c_0_56]) ).
cnf(c_0_76,negated_conjecture,
multiplication(addition(X1,c(esk7_0)),esk7_0) = multiplication(X1,esk7_0),
inference(spm,[status(thm)],[c_0_70,c_0_31]) ).
cnf(c_0_77,plain,
( multiplication(esk7_0,c(esk7_0)) != multiplication(c(esk6_0),esk6_0)
| c(c(esk7_0)) = esk7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_65]),c_0_24])]) ).
cnf(c_0_78,negated_conjecture,
multiplication(esk7_0,c(esk7_0)) = multiplication(c(esk6_0),esk6_0),
inference(spm,[status(thm)],[c_0_42,c_0_24]) ).
cnf(c_0_79,negated_conjecture,
test(c(esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_28])]) ).
fof(c_0_80,plain,
! [X20] : multiplication(X20,one) = X20,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_81,plain,
! [X30,X31] :
( ( leq(X30,X31)
| addition(X30,X31) != X31 )
& ( addition(X30,X31) = X31
| ~ leq(X30,X31) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).
fof(c_0_82,plain,
! [X12,X13,X14] : addition(X14,addition(X13,X12)) = addition(addition(X14,X13),X12),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
cnf(c_0_83,plain,
( ~ test(X2)
| ~ test(X1)
| c(addition(X1,X2)) = multiplication(c(X1),c(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( ~ test(multiplication(esk7_0,esk7_0))
| test(c(esk7_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_75]) ).
cnf(c_0_85,negated_conjecture,
multiplication(esk7_0,esk7_0) = esk7_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_60]),c_0_68]) ).
fof(c_0_86,plain,
! [X22,X23,X24] : multiplication(X22,addition(X23,X24)) = addition(multiplication(X22,X23),multiplication(X22,X24)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_87,plain,
c(c(esk7_0)) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_88,negated_conjecture,
c(multiplication(esk6_0,c(esk6_0))) = addition(c(esk6_0),c(c(esk6_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_79]),c_0_51]),c_0_31]) ).
cnf(c_0_89,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_90,negated_conjecture,
( ~ 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)))))
| ~ 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))))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_91,plain,
( addition(X1,X2) != X2
| leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_92,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_93,negated_conjecture,
( ~ test(X1)
| c(addition(X1,esk6_0)) = multiplication(c(X1),c(esk6_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_28]) ).
cnf(c_0_94,negated_conjecture,
test(c(esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_24])]) ).
cnf(c_0_95,plain,
( ~ test(X1)
| multiplication(X1,c(X1)) = multiplication(esk6_0,c(esk6_0)) ),
inference(rw,[status(thm)],[c_0_42,c_0_51]) ).
cnf(c_0_96,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_97,negated_conjecture,
( ~ test(multiplication(esk7_0,esk7_0))
| addition(c(esk6_0),c(c(esk6_0))) = addition(esk6_0,c(esk6_0)) ),
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_69,c_0_84]),c_0_33]),c_0_87]),c_0_60]),c_0_51]),c_0_88]) ).
cnf(c_0_98,plain,
multiplication(X1,addition(esk7_0,c(esk7_0))) = X1,
inference(rw,[status(thm)],[c_0_89,c_0_41]) ).
cnf(c_0_99,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)))))
| addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(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)))))) != 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( ~ test(multiplication(esk7_0,esk7_0))
| 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_93,c_0_84]),c_0_31]),c_0_87]) ).
cnf(c_0_101,negated_conjecture,
( ~ test(X1)
| c(addition(X1,c(esk7_0))) = multiplication(c(X1),esk7_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_94]),c_0_87]) ).
cnf(c_0_102,negated_conjecture,
multiplication(c(esk6_0),c(c(esk6_0))) = multiplication(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_95,c_0_79]) ).
cnf(c_0_103,plain,
addition(X1,multiplication(esk6_0,c(esk6_0))) = X1,
inference(rw,[status(thm)],[c_0_58,c_0_51]) ).
cnf(c_0_104,plain,
multiplication(esk6_0,addition(c(esk6_0),X1)) = multiplication(esk6_0,X1),
inference(spm,[status(thm)],[c_0_96,c_0_62]) ).
cnf(c_0_105,negated_conjecture,
addition(c(esk6_0),c(c(esk6_0))) = addition(esk6_0,c(esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_85]),c_0_24])]) ).
cnf(c_0_106,plain,
multiplication(X1,addition(esk6_0,c(esk6_0))) = X1,
inference(rw,[status(thm)],[c_0_98,c_0_60]) ).
cnf(c_0_107,negated_conjecture,
( addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),addition(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)))))) != 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(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(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)))))) != 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_91]),c_0_92]) ).
cnf(c_0_108,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X3,X1)),
inference(spm,[status(thm)],[c_0_92,c_0_31]) ).
fof(c_0_109,plain,
! [X17,X18,X19] : multiplication(X17,multiplication(X18,X19)) = multiplication(multiplication(X17,X18),X19),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_110,negated_conjecture,
c(addition(esk6_0,c(esk7_0))) = multiplication(esk7_0,c(esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_85]),c_0_24])]) ).
cnf(c_0_111,negated_conjecture,
( ~ test(X1)
| c(addition(X1,c(esk6_0))) = multiplication(c(X1),c(c(esk6_0))) ),
inference(spm,[status(thm)],[c_0_83,c_0_79]) ).
cnf(c_0_112,negated_conjecture,
c(addition(c(esk6_0),c(esk7_0))) = multiplication(c(c(esk6_0)),esk7_0),
inference(spm,[status(thm)],[c_0_101,c_0_79]) ).
cnf(c_0_113,negated_conjecture,
multiplication(addition(X1,c(esk6_0)),c(c(esk6_0))) = multiplication(X1,c(c(esk6_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_102]),c_0_103]) ).
cnf(c_0_114,negated_conjecture,
multiplication(esk6_0,c(c(esk6_0))) = esk6_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
cnf(c_0_115,negated_conjecture,
( ~ test(X1)
| c(addition(X1,esk7_0)) = multiplication(c(X1),c(esk7_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_24]) ).
cnf(c_0_116,negated_conjecture,
( addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_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))))
| addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(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)))))) != 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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_31]) ).
cnf(c_0_117,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_31]),c_0_92]) ).
cnf(c_0_118,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_119,negated_conjecture,
multiplication(esk7_0,c(esk6_0)) = multiplication(c(esk6_0),esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_28]),c_0_110]) ).
cnf(c_0_120,negated_conjecture,
multiplication(esk7_0,c(c(esk6_0))) = multiplication(c(c(esk6_0)),esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_94]),c_0_31]),c_0_112]),c_0_87]) ).
cnf(c_0_121,negated_conjecture,
c(c(esk6_0)) = esk6_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_113]),c_0_114]) ).
cnf(c_0_122,negated_conjecture,
c(addition(c(esk6_0),esk7_0)) = multiplication(c(c(esk6_0)),c(esk7_0)),
inference(spm,[status(thm)],[c_0_115,c_0_79]) ).
cnf(c_0_123,negated_conjecture,
( addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_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))))
| addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_117]),c_0_117]) ).
cnf(c_0_124,plain,
addition(multiplication(X1,addition(X2,X3)),X4) = addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)),
inference(spm,[status(thm)],[c_0_92,c_0_96]) ).
cnf(c_0_125,negated_conjecture,
multiplication(esk7_0,multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_118]) ).
cnf(c_0_126,negated_conjecture,
multiplication(esk7_0,esk6_0) = multiplication(esk6_0,esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121]),c_0_121]) ).
cnf(c_0_127,negated_conjecture,
multiplication(c(esk7_0),c(c(esk6_0))) = multiplication(c(c(esk6_0)),c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_24]),c_0_31]),c_0_122]) ).
cnf(c_0_128,negated_conjecture,
( addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))))))) != addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))))
| addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124]),c_0_124]),c_0_125]),c_0_124]),c_0_117]),c_0_117]),c_0_124]),c_0_124]),c_0_124]),c_0_125]),c_0_124]),c_0_117]),c_0_117]),c_0_124]),c_0_125]) ).
cnf(c_0_129,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_126]),c_0_118]) ).
cnf(c_0_130,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_92,c_0_56]) ).
cnf(c_0_131,negated_conjecture,
multiplication(c(esk7_0),esk6_0) = multiplication(esk6_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_121]),c_0_121]) ).
cnf(c_0_132,negated_conjecture,
c(addition(esk6_0,esk7_0)) = multiplication(c(esk6_0),c(esk7_0)),
inference(spm,[status(thm)],[c_0_115,c_0_28]) ).
cnf(c_0_133,negated_conjecture,
( addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_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(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_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)],[c_0_128,c_0_129]),c_0_130]),c_0_129]),c_0_130]),c_0_129]) ).
cnf(c_0_134,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_131]),c_0_118]) ).
cnf(c_0_135,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_93,c_0_24]),c_0_31]),c_0_132]) ).
cnf(c_0_136,negated_conjecture,
( 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)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_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)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_130]),c_0_130]) ).
cnf(c_0_137,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_118,c_0_135]),c_0_118]) ).
cnf(c_0_138,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_130,c_0_31]) ).
cnf(c_0_139,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(X1,X4))) = addition(X3,multiplication(X1,addition(X2,X4))),
inference(spm,[status(thm)],[c_0_117,c_0_96]) ).
cnf(c_0_140,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_96]),c_0_138]),c_0_96]),c_0_130]),c_0_137]),c_0_96]),c_0_138]),c_0_96]),c_0_130]),c_0_139]),c_0_134]),c_0_137]),c_0_96])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE028+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:39:42 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.26/2.14 % Version: 3.5.1
% 11.26/2.14 % Preprocessing class: FSMSSMSSSSSNFFN.
% 11.26/2.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.26/2.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.26/2.14 % Starting new_bool_3 with 300s (1) cores
% 11.26/2.14 % Starting new_bool_1 with 300s (1) cores
% 11.26/2.14 % Starting sh5l with 300s (1) cores
% 11.26/2.14 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1411760 completed with status 0
% 11.26/2.14 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 11.26/2.14 % Preprocessing class: FSMSSMSSSSSNFFN.
% 11.26/2.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.26/2.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.26/2.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.26/2.14 % No SInE strategy applied
% 11.26/2.14 % Search class: FGHSM-FFMF21-MFFFFFNN
% 11.26/2.14 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 11.26/2.14 % Starting SubtermCWHack with 136s (1) cores
% 11.26/2.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 11.26/2.14 % Starting U----_210g_02_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 11.26/2.14 % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S00EN with 136s (1) cores
% 11.26/2.14 % Starting new_bool_3 with 136s (1) cores
% 11.26/2.14 % U----_210g_02_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 1411766 completed with status 0
% 11.26/2.14 % Result found by U----_210g_02_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 11.26/2.14 % Preprocessing class: FSMSSMSSSSSNFFN.
% 11.26/2.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.26/2.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.26/2.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.26/2.14 % No SInE strategy applied
% 11.26/2.14 % Search class: FGHSM-FFMF21-MFFFFFNN
% 11.26/2.14 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 11.26/2.14 % Starting SubtermCWHack with 136s (1) cores
% 11.26/2.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 11.26/2.14 % Starting U----_210g_02_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 11.26/2.14 % Preprocessing time : 0.002 s
% 11.26/2.14 % Presaturation interreduction done
% 11.26/2.14
% 11.26/2.14 % Proof found!
% 11.26/2.14 % SZS status Theorem
% 11.26/2.14 % SZS output start CNFRefutation
% See solution above
% 11.26/2.14 % Parsed axioms : 19
% 11.26/2.14 % Removed by relevancy pruning/SinE : 0
% 11.26/2.14 % Initial clauses : 27
% 11.26/2.14 % Removed in clause preprocessing : 0
% 11.26/2.14 % Initial clauses in saturation : 27
% 11.26/2.14 % Processed clauses : 4926
% 11.26/2.14 % ...of these trivial : 1212
% 11.26/2.14 % ...subsumed : 2228
% 11.26/2.14 % ...remaining for further processing : 1486
% 11.26/2.14 % Other redundant clauses eliminated : 15
% 11.26/2.14 % Clauses deleted for lack of memory : 0
% 11.26/2.14 % Backward-subsumed : 68
% 11.26/2.14 % Backward-rewritten : 500
% 11.26/2.14 % Generated clauses : 66376
% 11.26/2.14 % ...of the previous two non-redundant : 36307
% 11.26/2.14 % ...aggressively subsumed : 0
% 11.26/2.14 % Contextual simplify-reflections : 27
% 11.26/2.14 % Paramodulations : 66355
% 11.26/2.14 % Factorizations : 3
% 11.26/2.14 % NegExts : 0
% 11.26/2.14 % Equation resolutions : 18
% 11.26/2.14 % Disequality decompositions : 0
% 11.26/2.14 % Total rewrite steps : 208717
% 11.26/2.14 % ...of those cached : 191142
% 11.26/2.14 % Propositional unsat checks : 0
% 11.26/2.14 % Propositional check models : 0
% 11.26/2.14 % Propositional check unsatisfiable : 0
% 11.26/2.14 % Propositional clauses : 0
% 11.26/2.14 % Propositional clauses after purity: 0
% 11.26/2.14 % Propositional unsat core size : 0
% 11.26/2.14 % Propositional preprocessing time : 0.000
% 11.26/2.14 % Propositional encoding time : 0.000
% 11.26/2.14 % Propositional solver time : 0.000
% 11.26/2.14 % Success case prop preproc time : 0.000
% 11.26/2.14 % Success case prop encoding time : 0.000
% 11.26/2.14 % Success case prop solver time : 0.000
% 11.26/2.14 % Current number of processed clauses : 890
% 11.26/2.14 % Positive orientable unit clauses : 550
% 11.26/2.14 % Positive unorientable unit clauses: 25
% 11.26/2.14 % Negative unit clauses : 1
% 11.26/2.14 % Non-unit-clauses : 314
% 11.26/2.14 % Current number of unprocessed clauses: 30279
% 11.26/2.14 % ...number of literals in the above : 39884
% 11.26/2.14 % Current number of archived formulas : 0
% 11.26/2.14 % Current number of archived clauses : 595
% 11.26/2.14 % Clause-clause subsumption calls (NU) : 32456
% 11.26/2.14 % Rec. Clause-clause subsumption calls : 29773
% 11.26/2.14 % Non-unit clause-clause subsumptions : 1650
% 11.26/2.14 % Unit Clause-clause subsumption calls : 14227
% 11.26/2.14 % Rewrite failures with RHS unbound : 0
% 11.26/2.14 % BW rewrite match attempts : 4809
% 11.26/2.14 % BW rewrite match successes : 834
% 11.26/2.14 % Condensation attempts : 0
% 11.26/2.14 % Condensation successes : 0
% 11.26/2.14 % Termbank termtop insertions : 1233973
% 11.26/2.14 % Search garbage collected termcells : 247
% 11.26/2.14
% 11.26/2.14 % -------------------------------------------------
% 11.26/2.14 % User time : 1.588 s
% 11.26/2.14 % System time : 0.060 s
% 11.26/2.14 % Total time : 1.648 s
% 11.26/2.14 % Maximum resident set size: 3400 pages
% 11.26/2.14
% 11.26/2.14 % -------------------------------------------------
% 11.26/2.14 % User time : 6.980 s
% 11.26/2.14 % System time : 0.281 s
% 11.26/2.14 % Total time : 7.261 s
% 11.26/2.14 % Maximum resident set size: 4864 pages
% 11.26/2.14 % E exiting
%------------------------------------------------------------------------------