%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KLE013+1 : 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 : n001.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 12:58:36 PM UTC 2026
% Result : Theorem 35.15s 5.65s
% Output : CNFRefutation 35.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 16
% Syntax : Number of formulae : 185 ( 98 unt; 0 def)
% Number of atoms : 310 ( 201 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 235 ( 110 ~; 106 |; 11 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 185 ( 4 sgn 59 !; 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(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(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(goals,conjecture,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> one = addition(addition(X4,X5),multiplication(c(X4),c(X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
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(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
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(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
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(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(test_4,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(c_0_16,plain,
! [X34,X35] :
( ( ~ test(X34)
| c(X34) = X35
| ~ complement(X34,X35) )
& ( ~ test(X34)
| complement(X34,X35)
| c(X34) != X35 ) ),
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,
! [X32,X33] :
( ( complement(X33,X32)
| addition(X32,X33) != one
| multiplication(X33,X32) != zero
| multiplication(X32,X33) != zero )
& ( ~ complement(X33,X32)
| addition(X32,X33) = one )
& ( ~ complement(X33,X32)
| multiplication(X33,X32) = zero )
& ( ~ complement(X33,X32)
| multiplication(X32,X33) = 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,plain,
! [X18,X19,X20] : multiplication(X18,addition(X19,X20)) = addition(multiplication(X18,X19),multiplication(X18,X20)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_20,plain,
( ~ complement(X1,X2)
| 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,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_23,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_24,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( ~ test(X1)
| multiplication(X1,c(X1)) = zero ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( ~ complement(X2,X1)
| addition(X1,X2) = one ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_30,negated_conjecture,
~ ! [X4,X5] :
( ( test(X4)
& test(X5) )
=> one = addition(addition(X4,X5),multiplication(c(X4),c(X5))) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_31,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_32,plain,
( ~ test(X1)
| multiplication(X1,addition(X2,c(X1))) = multiplication(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_33,plain,
( ~ test(X1)
| addition(X1,c(X1)) = one ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_28]) ).
cnf(c_0_34,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,negated_conjecture,
( one != addition(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0)))
& test(esk2_0)
& test(esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
cnf(c_0_36,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( ~ test(X1)
| multiplication(X1,X1) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( ~ test(multiplication(X1,X2))
| multiplication(X1,multiplication(X2,c(multiplication(X1,X2)))) = zero ),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_40,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_34]),c_0_28]) ).
cnf(c_0_42,negated_conjecture,
multiplication(esk3_0,multiplication(esk3_0,c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38])]) ).
cnf(c_0_43,negated_conjecture,
multiplication(esk3_0,addition(one,multiplication(esk3_0,c(esk3_0)))) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_26]),c_0_28]) ).
fof(c_0_44,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_45,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_46,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_47,plain,
! [X28,X30,X31] :
( ( test(X30)
| ~ complement(X31,X30) )
& ( complement(esk1_1(X28),X28)
| ~ test(X28) ) ),
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_48,negated_conjecture,
multiplication(esk3_0,multiplication(addition(one,multiplication(esk3_0,c(esk3_0))),c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_43]),c_0_38])]) ).
cnf(c_0_49,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,plain,
( ~ test(X1)
| complement(esk1_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_53,plain,
! [X21,X22,X23] : multiplication(addition(X21,X22),X23) = addition(multiplication(X21,X23),multiplication(X22,X23)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_54,negated_conjecture,
multiplication(esk3_0,c(esk3_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_25]),c_0_26]),c_0_49]),c_0_38])]) ).
cnf(c_0_55,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_28]) ).
cnf(c_0_56,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
( ~ test(X1)
| addition(X1,esk1_1(X1)) = one ),
inference(spm,[status(thm)],[c_0_27,c_0_52]) ).
cnf(c_0_58,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
multiplication(esk3_0,addition(c(esk3_0),X1)) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_54]),c_0_55]) ).
cnf(c_0_60,plain,
( ~ test(X1)
| addition(X1,one) = one ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_62,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_49]),c_0_28]) ).
cnf(c_0_63,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(esk3_0,c(c(esk3_0))) = esk3_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_33]),c_0_34]) ).
cnf(c_0_64,negated_conjecture,
addition(one,esk3_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_38]),c_0_28]) ).
cnf(c_0_65,plain,
( ~ complement(X1,X2)
| test(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_37,c_0_61]) ).
cnf(c_0_67,plain,
( ~ complement(X2,X1)
| multiplication(X1,X2) = zero ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_68,plain,
( ~ test(addition(X1,X2))
| addition(X1,addition(X2,c(addition(X1,X2)))) = one ),
inference(spm,[status(thm)],[c_0_50,c_0_33]) ).
cnf(c_0_69,negated_conjecture,
( ~ test(c(esk3_0))
| addition(esk3_0,c(c(esk3_0))) = c(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_28]),c_0_64]),c_0_49]),c_0_28]) ).
cnf(c_0_70,plain,
( ~ test(X1)
| test(c(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_21]) ).
cnf(c_0_71,negated_conjecture,
multiplication(esk2_0,multiplication(esk2_0,c(esk2_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_66]),c_0_61])]) ).
cnf(c_0_72,plain,
( ~ test(X1)
| multiplication(c(X1),X1) = zero ),
inference(spm,[status(thm)],[c_0_67,c_0_21]) ).
cnf(c_0_73,plain,
( ~ test(X1)
| multiplication(addition(X1,X2),c(X1)) = multiplication(X2,c(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_25]),c_0_55]) ).
cnf(c_0_74,negated_conjecture,
( ~ test(c(esk3_0))
| addition(esk3_0,addition(c(c(esk3_0)),c(c(c(esk3_0))))) = one ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_75,negated_conjecture,
multiplication(esk2_0,addition(one,multiplication(esk2_0,c(esk2_0)))) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_71]),c_0_26]),c_0_28]) ).
cnf(c_0_76,plain,
( ~ test(X1)
| multiplication(addition(c(X1),X2),X1) = multiplication(X2,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_72]),c_0_55]) ).
cnf(c_0_77,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(addition(c(c(esk3_0)),c(c(c(esk3_0)))),c(esk3_0)) = c(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_49]),c_0_38])]) ).
cnf(c_0_78,negated_conjecture,
addition(one,addition(esk3_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_50,c_0_64]) ).
cnf(c_0_79,negated_conjecture,
multiplication(esk2_0,multiplication(addition(one,multiplication(esk2_0,c(esk2_0))),c(esk2_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_75]),c_0_61])]) ).
cnf(c_0_80,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(c(c(esk3_0))),c(esk3_0)) = c(esk3_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
addition(one,c(esk3_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_33]),c_0_51]),c_0_38])]) ).
cnf(c_0_82,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_25]),c_0_26]),c_0_49]),c_0_61])]) ).
cnf(c_0_83,plain,
( ~ test(X2)
| multiplication(addition(X1,X2),c(X2)) = multiplication(X1,c(X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_25]),c_0_26]) ).
cnf(c_0_84,negated_conjecture,
( ~ test(c(esk3_0))
| addition(c(esk3_0),c(c(c(esk3_0)))) = c(c(c(esk3_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_80]),c_0_28]),c_0_81]),c_0_34]),c_0_28]) ).
cnf(c_0_85,plain,
( addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_86,negated_conjecture,
multiplication(esk2_0,addition(c(esk2_0),X1)) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_82]),c_0_55]) ).
fof(c_0_87,plain,
! [X25] : multiplication(zero,X25) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_88,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(c(esk3_0)),c(c(c(esk3_0)))) = multiplication(esk3_0,c(c(c(esk3_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_69]),c_0_70]) ).
cnf(c_0_89,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(c(esk3_0)),c(c(c(esk3_0)))) = multiplication(c(c(esk3_0)),c(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_84]),c_0_70]) ).
cnf(c_0_90,plain,
( multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one
| test(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(esk2_0,c(c(esk2_0))) = esk2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_33]),c_0_34]) ).
cnf(c_0_92,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_28]) ).
cnf(c_0_93,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_94,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(c(esk3_0)),c(esk3_0)) = multiplication(esk3_0,c(c(c(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,plain,
( ~ test(X1)
| ~ complement(X1,X2)
| c(X1) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_96,plain,
( multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X2,X1) != one
| test(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_28]) ).
cnf(c_0_97,negated_conjecture,
( ~ test(c(esk2_0))
| addition(esk2_0,c(c(esk2_0))) = c(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_91]),c_0_28]),c_0_92]),c_0_49]),c_0_28]) ).
cnf(c_0_98,negated_conjecture,
addition(one,addition(esk2_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_50,c_0_92]) ).
cnf(c_0_99,plain,
( ~ test(X1)
| addition(X1,addition(c(X1),X2)) = addition(one,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_33]) ).
cnf(c_0_100,plain,
( ~ test(X1)
| multiplication(c(X1),multiplication(X1,X2)) = zero ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_72]),c_0_93]) ).
cnf(c_0_101,negated_conjecture,
( ~ test(c(esk3_0))
| addition(c(c(esk3_0)),multiplication(esk3_0,c(c(c(esk3_0))))) = c(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_94]),c_0_28]),c_0_81]),c_0_34]) ).
cnf(c_0_102,plain,
( multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| addition(X2,X1) != one
| c(X1) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_85]),c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( ~ test(c(esk2_0))
| addition(esk2_0,addition(c(c(esk2_0)),c(c(c(esk2_0))))) = one ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_97]),c_0_70]) ).
cnf(c_0_104,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_28,c_0_50]) ).
fof(c_0_105,plain,
! [X24] : multiplication(X24,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_106,negated_conjecture,
addition(one,c(esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_33]),c_0_51]),c_0_61])]) ).
cnf(c_0_107,plain,
( ~ test(X1)
| addition(one,X2) != one
| multiplication(addition(c(X1),X2),X1) != zero
| multiplication(X1,addition(c(X1),X2)) != zero
| test(addition(c(X1),X2)) ),
inference(spm,[status(thm)],[c_0_96,c_0_99]) ).
cnf(c_0_108,negated_conjecture,
multiplication(esk2_0,addition(X1,c(esk2_0))) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_82]),c_0_26]) ).
cnf(c_0_109,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_66]),c_0_61])]) ).
cnf(c_0_110,negated_conjecture,
( ~ test(c(esk3_0))
| addition(one,multiplication(esk3_0,c(c(c(esk3_0))))) = addition(c(esk3_0),c(c(esk3_0))) ),
inference(spm,[status(thm)],[c_0_99,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
addition(one,addition(c(esk3_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_50,c_0_81]) ).
cnf(c_0_112,plain,
( ~ test(X1)
| multiplication(c(X1),addition(X1,X2)) = multiplication(c(X1),X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_72]),c_0_55]) ).
cnf(c_0_113,negated_conjecture,
( c(esk3_0) != zero
| c(c(esk3_0)) = one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_81]),c_0_34]),c_0_49])]) ).
cnf(c_0_114,negated_conjecture,
( c(esk3_0) != zero
| test(c(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_81]),c_0_49]),c_0_34])]) ).
cnf(c_0_115,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(addition(c(c(esk2_0)),c(c(c(esk2_0)))),c(esk2_0)) = c(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_103]),c_0_49]),c_0_61])]) ).
cnf(c_0_116,plain,
( multiplication(addition(X1,X2),X3) != zero
| multiplication(X3,addition(X1,X2)) != zero
| addition(X2,addition(X3,X1)) != one
| test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_96,c_0_104]) ).
cnf(c_0_117,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_118,negated_conjecture,
( c(esk2_0) != zero
| c(c(esk2_0)) = one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_106]),c_0_34]),c_0_49])]) ).
cnf(c_0_119,negated_conjecture,
( c(esk2_0) != zero
| test(c(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_106]),c_0_49]),c_0_34])]) ).
cnf(c_0_120,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_28]),c_0_50]) ).
cnf(c_0_121,negated_conjecture,
test(c(esk2_0)),
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(spm,[status(thm)],[c_0_107,c_0_108]),c_0_51]),c_0_82]),c_0_51]),c_0_109]),c_0_106]),c_0_61])]) ).
cnf(c_0_122,negated_conjecture,
multiplication(esk3_0,addition(X1,c(esk3_0))) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_54]),c_0_26]) ).
cnf(c_0_123,negated_conjecture,
multiplication(c(esk3_0),esk3_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_40]),c_0_38])]) ).
cnf(c_0_124,plain,
addition(X1,addition(X2,addition(X3,X1))) = addition(X2,addition(X3,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_104]) ).
cnf(c_0_125,negated_conjecture,
( ~ test(c(esk3_0))
| addition(c(esk3_0),c(c(esk3_0))) = addition(one,c(c(esk3_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_110]),c_0_111]) ).
cnf(c_0_126,plain,
( ~ test(X1)
| multiplication(X1,addition(c(X1),X2)) = multiplication(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_55]) ).
cnf(c_0_127,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(esk3_0),addition(c(c(esk3_0)),c(c(c(esk3_0))))) = c(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_74]),c_0_34]),c_0_38])]) ).
fof(c_0_128,plain,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
inference(fof_simplification,[status(thm)],[test_4]) ).
cnf(c_0_129,plain,
( multiplication(addition(X1,X2),X3) != zero
| multiplication(X3,addition(X1,X2)) != zero
| addition(X1,addition(X2,X3)) != one
| test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_90,c_0_50]) ).
cnf(c_0_130,negated_conjecture,
( c(esk3_0) != zero
| addition(c(esk3_0),X1) = X1 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_113]),c_0_34]),c_0_34]),c_0_114]) ).
cnf(c_0_131,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(c(c(c(esk2_0))),c(esk2_0)) = c(esk2_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_115]) ).
cnf(c_0_132,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(c(esk2_0),addition(c(c(esk2_0)),c(c(c(esk2_0))))) = c(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_103]),c_0_34]),c_0_61])]) ).
cnf(c_0_133,plain,
( addition(X2,X1) != one
| test(addition(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_55]),c_0_93]),c_0_117])]) ).
cnf(c_0_134,negated_conjecture,
( c(esk2_0) != zero
| addition(X1,c(esk2_0)) = X1 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_118]),c_0_34]),c_0_34]),c_0_119]) ).
cnf(c_0_135,plain,
( ~ test(X1)
| addition(X1,addition(X2,c(X1))) = addition(X2,one) ),
inference(spm,[status(thm)],[c_0_120,c_0_33]) ).
cnf(c_0_136,negated_conjecture,
addition(esk2_0,c(c(esk2_0))) = c(c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_121])]) ).
cnf(c_0_137,negated_conjecture,
test(c(esk3_0)),
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(spm,[status(thm)],[c_0_107,c_0_122]),c_0_51]),c_0_54]),c_0_51]),c_0_123]),c_0_81]),c_0_38])]) ).
cnf(c_0_138,negated_conjecture,
( ~ test(c(esk3_0))
| addition(one,c(c(c(esk3_0)))) = one ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_74]),c_0_28]) ).
cnf(c_0_139,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(addition(one,c(c(esk3_0))),esk3_0) = multiplication(c(c(esk3_0)),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_125]),c_0_38])]) ).
cnf(c_0_140,plain,
( ~ test(X1)
| addition(one,c(X1)) = one ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_70]),c_0_28]) ).
cnf(c_0_141,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(esk3_0),c(c(c(esk3_0)))) = c(esk3_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
fof(c_0_142,plain,
! [X36] :
( c(X36) = zero
| test(X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])]) ).
cnf(c_0_143,plain,
( addition(X1,X2) != one
| test(addition(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_26]),c_0_93]),c_0_117])]) ).
cnf(c_0_144,negated_conjecture,
( c(esk3_0) != zero
| addition(one,c(c(esk3_0))) = c(c(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_125]),c_0_114]) ).
cnf(c_0_145,negated_conjecture,
( ~ test(c(esk2_0))
| addition(c(esk2_0),c(c(c(esk2_0)))) = c(c(c(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_131]),c_0_28]),c_0_106]),c_0_34]),c_0_28]) ).
cnf(c_0_146,negated_conjecture,
( ~ test(c(esk2_0))
| addition(one,c(c(c(esk2_0)))) = one ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_103]),c_0_28]) ).
cnf(c_0_147,negated_conjecture,
multiplication(addition(c(esk2_0),X1),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_109]),c_0_55]) ).
cnf(c_0_148,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(c(esk2_0),c(c(c(esk2_0)))) = c(esk2_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_132]) ).
cnf(c_0_149,negated_conjecture,
( c(esk2_0) != zero
| addition(c(esk2_0),X1) != one
| test(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_150,negated_conjecture,
addition(c(esk2_0),c(c(esk2_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_28]),c_0_92]),c_0_121])]) ).
cnf(c_0_151,negated_conjecture,
addition(c(esk3_0),c(c(c(esk3_0)))) = c(c(c(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_137])]) ).
cnf(c_0_152,negated_conjecture,
addition(one,c(c(c(esk3_0)))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_137])]) ).
cnf(c_0_153,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(c(esk3_0)),esk3_0) = esk3_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_49]) ).
cnf(c_0_154,negated_conjecture,
multiplication(c(esk3_0),c(c(c(esk3_0)))) = c(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_137])]) ).
cnf(c_0_155,plain,
( c(X1) = zero
| test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_156,negated_conjecture,
( c(esk3_0) != zero
| test(c(c(esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_113]) ).
cnf(c_0_157,negated_conjecture,
addition(c(esk2_0),c(c(c(esk2_0)))) = c(c(c(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_121])]) ).
cnf(c_0_158,negated_conjecture,
addition(one,c(c(c(esk2_0)))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_121])]) ).
cnf(c_0_159,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(c(c(esk2_0)),esk2_0) = esk2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_33]),c_0_49]) ).
cnf(c_0_160,negated_conjecture,
multiplication(c(esk2_0),c(c(c(esk2_0)))) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_121])]) ).
cnf(c_0_161,negated_conjecture,
( c(esk2_0) != zero
| test(c(c(esk2_0))) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_162,plain,
addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_58,c_0_36]) ).
cnf(c_0_163,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_36]),c_0_28]) ).
cnf(c_0_164,negated_conjecture,
addition(esk3_0,c(c(esk3_0))) = c(c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_137])]) ).
cnf(c_0_165,negated_conjecture,
addition(esk3_0,c(c(c(esk3_0)))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_151]),c_0_152]),c_0_38])]) ).
cnf(c_0_166,negated_conjecture,
multiplication(c(c(esk3_0)),esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_137])]) ).
cnf(c_0_167,negated_conjecture,
test(c(c(esk3_0))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_117]),c_0_156]) ).
cnf(c_0_168,negated_conjecture,
addition(esk2_0,c(c(c(esk2_0)))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_157]),c_0_158]),c_0_61])]) ).
cnf(c_0_169,negated_conjecture,
multiplication(c(c(esk2_0)),esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_121])]) ).
cnf(c_0_170,negated_conjecture,
test(c(c(esk2_0))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_155]),c_0_117]),c_0_161]) ).
cnf(c_0_171,negated_conjecture,
multiplication(addition(esk3_0,multiplication(X1,X2)),esk3_0) = multiplication(addition(one,multiplication(X1,X2)),esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_40]),c_0_163]) ).
cnf(c_0_172,negated_conjecture,
multiplication(c(esk2_0),c(esk2_0)) = c(esk2_0),
inference(spm,[status(thm)],[c_0_37,c_0_121]) ).
cnf(c_0_173,negated_conjecture,
addition(c(esk3_0),c(c(esk3_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_164]),c_0_28]),c_0_64]),c_0_137])]) ).
cnf(c_0_174,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_165]),c_0_34]),c_0_166]),c_0_167])]) ).
cnf(c_0_175,negated_conjecture,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_168]),c_0_34]),c_0_169]),c_0_170])]) ).
cnf(c_0_176,negated_conjecture,
one != addition(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_177,plain,
( ~ test(X1)
| addition(multiplication(addition(X1,X2),X3),multiplication(X2,c(X1))) = multiplication(addition(X1,X2),addition(X3,c(X1))) ),
inference(spm,[status(thm)],[c_0_24,c_0_73]) ).
cnf(c_0_178,negated_conjecture,
multiplication(addition(esk3_0,c(esk2_0)),esk3_0) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_106]),c_0_49]) ).
cnf(c_0_179,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174]),c_0_28]) ).
cnf(c_0_180,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_175]),c_0_28]) ).
cnf(c_0_181,negated_conjecture,
addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))) != one,
inference(rw,[status(thm)],[c_0_176,c_0_50]) ).
cnf(c_0_182,negated_conjecture,
addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))) = addition(esk3_0,c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_34]),c_0_38])]) ).
cnf(c_0_183,negated_conjecture,
addition(esk2_0,addition(X1,c(esk2_0))) = addition(X1,one),
inference(spm,[status(thm)],[c_0_120,c_0_180]) ).
cnf(c_0_184,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182]),c_0_183]),c_0_28]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE013+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 22:43:42 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 35.15/5.65 % Version: 3.5.1
% 35.15/5.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 35.15/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.15/5.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.15/5.65 % Starting new_bool_3 with 300s (1) cores
% 35.15/5.65 % Starting new_bool_1 with 300s (1) cores
% 35.15/5.65 % Starting sh5l with 300s (1) cores
% 35.15/5.65 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1565919 completed with status 0
% 35.15/5.65 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 35.15/5.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 35.15/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.15/5.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.15/5.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 35.15/5.65 % No SInE strategy applied
% 35.15/5.65 % Search class: FGUSM-FFSF21-MFFFFFNN
% 35.15/5.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 35.15/5.65 % Starting SubtermCWHack with 136s (1) cores
% 35.15/5.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 35.15/5.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 35.15/5.65 % Starting new_bool_3 with 136s (1) cores
% 35.15/5.65 % Starting new_bool_1 with 136s (1) cores
% 35.15/5.65 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1565925 completed with status 0
% 35.15/5.65 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 35.15/5.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 35.15/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.15/5.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.15/5.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 35.15/5.65 % No SInE strategy applied
% 35.15/5.65 % Search class: FGUSM-FFSF21-MFFFFFNN
% 35.15/5.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 35.15/5.65 % Starting SubtermCWHack with 136s (1) cores
% 35.15/5.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 35.15/5.65 % Preprocessing time : 0.002 s
% 35.15/5.65 % Presaturation interreduction done
% 35.15/5.65
% 35.15/5.65 % Proof found!
% 35.15/5.65 % SZS status Theorem
% 35.15/5.65 % SZS output start CNFRefutation
% See solution above
% 35.15/5.65 % Parsed axioms : 17
% 35.15/5.65 % Removed by relevancy pruning/SinE : 0
% 35.15/5.65 % Initial clauses : 25
% 35.15/5.65 % Removed in clause preprocessing : 0
% 35.15/5.65 % Initial clauses in saturation : 25
% 35.15/5.65 % Processed clauses : 8199
% 35.15/5.65 % ...of these trivial : 533
% 35.15/5.65 % ...subsumed : 6492
% 35.15/5.65 % ...remaining for further processing : 1174
% 35.15/5.65 % Other redundant clauses eliminated : 510
% 35.15/5.65 % Clauses deleted for lack of memory : 0
% 35.15/5.65 % Backward-subsumed : 194
% 35.15/5.65 % Backward-rewritten : 175
% 35.15/5.65 % Generated clauses : 176358
% 35.15/5.65 % ...of the previous two non-redundant : 148108
% 35.15/5.65 % ...aggressively subsumed : 0
% 35.15/5.65 % Contextual simplify-reflections : 64
% 35.15/5.65 % Paramodulations : 175848
% 35.15/5.65 % Factorizations : 0
% 35.15/5.65 % NegExts : 0
% 35.15/5.65 % Equation resolutions : 510
% 35.15/5.65 % Disequality decompositions : 0
% 35.15/5.65 % Total rewrite steps : 243675
% 35.15/5.65 % ...of those cached : 214651
% 35.15/5.65 % Propositional unsat checks : 0
% 35.15/5.65 % Propositional check models : 0
% 35.15/5.65 % Propositional check unsatisfiable : 0
% 35.15/5.65 % Propositional clauses : 0
% 35.15/5.65 % Propositional clauses after purity: 0
% 35.15/5.65 % Propositional unsat core size : 0
% 35.15/5.65 % Propositional preprocessing time : 0.000
% 35.15/5.65 % Propositional encoding time : 0.000
% 35.15/5.65 % Propositional solver time : 0.000
% 35.15/5.65 % Success case prop preproc time : 0.000
% 35.15/5.65 % Success case prop encoding time : 0.000
% 35.15/5.65 % Success case prop solver time : 0.000
% 35.15/5.65 % Current number of processed clauses : 779
% 35.15/5.65 % Positive orientable unit clauses : 166
% 35.15/5.65 % Positive unorientable unit clauses: 20
% 35.15/5.65 % Negative unit clauses : 6
% 35.15/5.65 % Non-unit-clauses : 587
% 35.15/5.65 % Current number of unprocessed clauses: 139064
% 35.15/5.65 % ...number of literals in the above : 362469
% 35.15/5.65 % Current number of archived formulas : 0
% 35.15/5.65 % Current number of archived clauses : 394
% 35.15/5.65 % Clause-clause subsumption calls (NU) : 110932
% 35.15/5.65 % Rec. Clause-clause subsumption calls : 105857
% 35.15/5.65 % Non-unit clause-clause subsumptions : 5946
% 35.15/5.65 % Unit Clause-clause subsumption calls : 6507
% 35.15/5.65 % Rewrite failures with RHS unbound : 0
% 35.15/5.65 % BW rewrite match attempts : 538
% 35.15/5.65 % BW rewrite match successes : 158
% 35.15/5.65 % Condensation attempts : 0
% 35.15/5.65 % Condensation successes : 0
% 35.15/5.65 % Termbank termtop insertions : 3135246
% 35.15/5.65 % Search garbage collected termcells : 174
% 35.15/5.65
% 35.15/5.65 % -------------------------------------------------
% 35.15/5.65 % User time : 4.817 s
% 35.15/5.65 % System time : 0.215 s
% 35.15/5.65 % Total time : 5.032 s
% 35.15/5.65 % Maximum resident set size: 3648 pages
% 35.15/5.65
% 35.15/5.65 % -------------------------------------------------
% 35.15/5.65 % User time : 24.337 s
% 35.15/5.65 % System time : 1.049 s
% 35.15/5.65 % Total time : 25.386 s
% 35.15/5.65 % Maximum resident set size: 4608 pages
% 35.15/5.65 % E exiting
%------------------------------------------------------------------------------