TSTP Solution File: KLE031+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KLE031+1 : 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 : n031.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 05:25:46 EDT 2023
% Result : Theorem 17.29s 17.36s
% Output : CNFRefutation 17.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 32
% Syntax : Number of formulae : 139 ( 76 unt; 17 typ; 0 def)
% Number of atoms : 238 ( 117 equ)
% Maximal formula atoms : 20 ( 1 avg)
% Number of connectives : 208 ( 92 ~; 87 |; 20 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 11 >; 12 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 162 ( 4 sgn; 71 !; 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,
ismeet: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
ismeetu: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
esk1_1: $i > $i ).
tff(decl_33,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
esk4_0: $i ).
tff(decl_36,type,
esk5_0: $i ).
tff(decl_37,type,
esk6_0: $i ).
tff(decl_38,type,
esk7_0: $i ).
fof(goals,conjecture,
! [X4,X5,X6,X7] :
( ( test(X7)
& ismeet(X4,X5,X6) )
=> ismeet(multiplication(X7,X4),multiplication(X7,X5),multiplication(X7,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(ismeet,axiom,
! [X4,X5,X6] :
( ismeet(X6,X4,X5)
<=> ( leq(X6,X4)
& leq(X6,X5)
& ! [X7] :
( ( leq(X7,X4)
& leq(X7,X5) )
=> leq(X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+3.ax',ismeet) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
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(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
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(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
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(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(c_0_15,negated_conjecture,
~ ! [X4,X5,X6,X7] :
( ( test(X7)
& ismeet(X4,X5,X6) )
=> ismeet(multiplication(X7,X4),multiplication(X7,X5),multiplication(X7,X6)) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_16,negated_conjecture,
( test(esk7_0)
& ismeet(esk4_0,esk5_0,esk6_0)
& ~ ismeet(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_17,plain,
! [X39,X40,X41,X42,X43,X44,X45] :
( ( leq(X41,X39)
| ~ ismeet(X41,X39,X40) )
& ( leq(X41,X40)
| ~ ismeet(X41,X39,X40) )
& ( ~ leq(X42,X39)
| ~ leq(X42,X40)
| leq(X42,X41)
| ~ ismeet(X41,X39,X40) )
& ( leq(esk2_3(X43,X44,X45),X43)
| ~ leq(X45,X43)
| ~ leq(X45,X44)
| ismeet(X45,X43,X44) )
& ( leq(esk2_3(X43,X44,X45),X44)
| ~ leq(X45,X43)
| ~ leq(X45,X44)
| ismeet(X45,X43,X44) )
& ( ~ leq(esk2_3(X43,X44,X45),X45)
| ~ leq(X45,X43)
| ~ leq(X45,X44)
| ismeet(X45,X43,X44) ) ),
inference(distribute,[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)],[ismeet])])])])])]) ).
fof(c_0_18,plain,
! [X28,X29] :
( ( ~ leq(X28,X29)
| addition(X28,X29) = X29 )
& ( addition(X28,X29) != X29
| leq(X28,X29) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
cnf(c_0_19,negated_conjecture,
~ ismeet(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( leq(esk2_3(X1,X2,X3),X1)
| ismeet(X3,X1,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X8,X9] : addition(X8,X9) = addition(X9,X8),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_22,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( leq(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),multiplication(esk7_0,esk5_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( leq(X1,X2)
| ~ ismeet(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
ismeet(esk4_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
( addition(multiplication(esk7_0,esk5_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = multiplication(esk7_0,esk5_0)
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_29,plain,
! [X20,X21,X22] : multiplication(X20,addition(X21,X22)) = addition(multiplication(X20,X21),multiplication(X20,X22)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_30,negated_conjecture,
leq(esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( leq(X1,X2)
| ~ ismeet(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,negated_conjecture,
( addition(multiplication(esk7_0,esk5_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = multiplication(esk7_0,esk5_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0)) != multiplication(esk7_0,esk6_0)
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
addition(esk4_0,esk6_0) = esk6_0,
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
leq(esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( addition(multiplication(esk7_0,esk5_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = multiplication(esk7_0,esk5_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0)) != multiplication(esk7_0,esk6_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) != multiplication(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
addition(multiplication(X1,esk4_0),multiplication(X1,esk6_0)) = multiplication(X1,esk6_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
addition(esk4_0,esk5_0) = esk5_0,
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_39,plain,
( leq(esk2_3(X1,X2,X3),X2)
| ismeet(X3,X1,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_40,plain,
! [X10,X11,X12] : addition(X12,addition(X11,X10)) = addition(addition(X12,X11),X10),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
cnf(c_0_41,negated_conjecture,
( addition(multiplication(esk7_0,esk5_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = multiplication(esk7_0,esk5_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) != multiplication(esk7_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
addition(multiplication(X1,esk4_0),multiplication(X1,esk5_0)) = multiplication(X1,esk5_0),
inference(spm,[status(thm)],[c_0_33,c_0_38]) ).
fof(c_0_43,plain,
! [X14] : addition(X14,X14) = X14,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_44,plain,
! [X36,X37] :
( ( c(X36) != X37
| complement(X36,X37)
| ~ test(X36) )
& ( ~ complement(X36,X37)
| c(X36) = X37
| ~ test(X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
cnf(c_0_45,negated_conjecture,
( leq(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),multiplication(esk7_0,esk6_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_39]) ).
cnf(c_0_46,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
addition(multiplication(esk7_0,esk5_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = multiplication(esk7_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_48,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( addition(multiplication(esk7_0,esk6_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = multiplication(esk7_0,esk6_0)
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_45]),c_0_24]) ).
fof(c_0_51,plain,
! [X30,X32,X33] :
( ( ~ test(X30)
| complement(esk1_1(X30),X30) )
& ( ~ complement(X33,X32)
| test(X32) ) ),
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_52,negated_conjecture,
addition(multiplication(esk7_0,esk5_0),addition(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),X1)) = addition(multiplication(esk7_0,esk5_0),X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
addition(X1,addition(X2,addition(X1,X2))) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
fof(c_0_54,plain,
! [X34,X35] :
( ( multiplication(X34,X35) = zero
| ~ complement(X35,X34) )
& ( multiplication(X35,X34) = zero
| ~ complement(X35,X34) )
& ( addition(X34,X35) = one
| ~ complement(X35,X34) )
& ( multiplication(X34,X35) != zero
| multiplication(X35,X34) != zero
| addition(X34,X35) != one
| complement(X35,X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])]) ).
cnf(c_0_55,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
test(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_57,negated_conjecture,
( addition(multiplication(esk7_0,esk6_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = multiplication(esk7_0,esk6_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0)) != multiplication(esk7_0,esk6_0)
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_28]) ).
cnf(c_0_58,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_46]) ).
cnf(c_0_60,negated_conjecture,
addition(multiplication(esk7_0,esk5_0),addition(X1,addition(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),X1))) = addition(multiplication(esk7_0,esk5_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_52]) ).
fof(c_0_61,plain,
! [X23,X24,X25] : multiplication(addition(X23,X24),X25) = addition(multiplication(X23,X25),multiplication(X24,X25)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_62,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
complement(esk7_0,c(esk7_0)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_64,plain,
! [X19] : multiplication(one,X19) = X19,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_65,negated_conjecture,
( addition(multiplication(esk7_0,esk6_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = multiplication(esk7_0,esk6_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0)) != multiplication(esk7_0,esk6_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) != multiplication(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_28]) ).
cnf(c_0_66,negated_conjecture,
complement(esk1_1(esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_58,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
addition(X1,addition(multiplication(esk7_0,esk5_0),X1)) = addition(multiplication(esk7_0,esk5_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52]) ).
cnf(c_0_68,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,negated_conjecture,
addition(esk7_0,c(esk7_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_24]) ).
cnf(c_0_70,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( addition(multiplication(esk7_0,esk6_0),addition(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),X1)) = addition(multiplication(esk7_0,esk6_0),X1)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0)) != multiplication(esk7_0,esk6_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) != multiplication(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_65]) ).
cnf(c_0_72,negated_conjecture,
addition(esk7_0,esk1_1(esk7_0)) = one,
inference(spm,[status(thm)],[c_0_62,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
addition(X1,addition(X2,addition(multiplication(esk7_0,esk5_0),X1))) = addition(X2,addition(multiplication(esk7_0,esk5_0),X1)),
inference(spm,[status(thm)],[c_0_59,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
addition(multiplication(esk7_0,X1),multiplication(c(esk7_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_75,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_46]) ).
cnf(c_0_76,negated_conjecture,
( addition(multiplication(esk7_0,esk6_0),addition(X1,esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)))) = addition(multiplication(esk7_0,esk6_0),X1)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0)) != multiplication(esk7_0,esk6_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) != multiplication(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_24]) ).
cnf(c_0_77,negated_conjecture,
addition(esk7_0,addition(esk1_1(esk7_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_46,c_0_72]) ).
cnf(c_0_78,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_48]) ).
cnf(c_0_79,negated_conjecture,
addition(esk5_0,addition(multiplication(c(esk7_0),esk5_0),X1)) = addition(X1,esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_80,plain,
( leq(X1,X4)
| ~ leq(X1,X2)
| ~ leq(X1,X3)
| ~ ismeet(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_81,negated_conjecture,
addition(multiplication(esk7_0,esk6_0),addition(X1,esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)))) = addition(multiplication(esk7_0,esk6_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_37])]),c_0_42])]) ).
cnf(c_0_82,negated_conjecture,
addition(one,esk1_1(esk7_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_48]),c_0_72]) ).
cnf(c_0_83,negated_conjecture,
addition(esk5_0,addition(X1,esk5_0)) = addition(X1,esk5_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( leq(X1,esk4_0)
| ~ leq(X1,esk6_0)
| ~ leq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_26]) ).
cnf(c_0_85,negated_conjecture,
addition(multiplication(esk7_0,esk6_0),addition(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),X1)) = addition(multiplication(esk7_0,esk6_0),X1),
inference(spm,[status(thm)],[c_0_81,c_0_24]) ).
cnf(c_0_86,negated_conjecture,
addition(one,esk7_0) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_72]),c_0_24]),c_0_82]),c_0_24]) ).
cnf(c_0_87,negated_conjecture,
addition(esk5_0,addition(X1,addition(esk5_0,X2))) = addition(X1,addition(esk5_0,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_83]),c_0_46]),c_0_46]) ).
cnf(c_0_88,plain,
( ismeet(X3,X1,X2)
| ~ leq(esk2_3(X1,X2,X3),X3)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_89,negated_conjecture,
( leq(X1,esk4_0)
| addition(X1,esk6_0) != esk6_0
| ~ leq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_28]) ).
cnf(c_0_90,negated_conjecture,
addition(X1,addition(multiplication(esk7_0,esk6_0),X2)) = addition(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),addition(X2,addition(X1,multiplication(esk7_0,esk6_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_85]),c_0_46]) ).
cnf(c_0_91,negated_conjecture,
addition(esk4_0,addition(esk6_0,X1)) = addition(esk6_0,X1),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
cnf(c_0_92,negated_conjecture,
addition(X1,multiplication(esk7_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_86]),c_0_70]),c_0_70]) ).
cnf(c_0_93,negated_conjecture,
addition(X1,addition(esk5_0,X1)) = addition(esk5_0,X1),
inference(spm,[status(thm)],[c_0_53,c_0_87]) ).
cnf(c_0_94,negated_conjecture,
( ~ leq(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),multiplication(esk7_0,esk4_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( leq(X1,esk4_0)
| addition(esk6_0,X1) != esk6_0
| ~ leq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_24]) ).
cnf(c_0_96,negated_conjecture,
addition(esk6_0,esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = esk6_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(spm,[status(thm)],[c_0_90,c_0_91]),c_0_24]),c_0_59]),c_0_92]),c_0_34]),c_0_92]),c_0_24]) ).
cnf(c_0_97,negated_conjecture,
addition(X1,addition(X2,addition(esk5_0,X1))) = addition(X2,addition(esk5_0,X1)),
inference(spm,[status(thm)],[c_0_59,c_0_93]) ).
fof(c_0_98,plain,
! [X15,X16,X17] : multiplication(X15,multiplication(X16,X17)) = multiplication(multiplication(X15,X16),X17),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_99,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_100,plain,
! [X27] : multiplication(zero,X27) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_101,plain,
! [X13] : addition(X13,zero) = X13,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_102,negated_conjecture,
( addition(multiplication(esk7_0,esk4_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) != multiplication(esk7_0,esk4_0)
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0))
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_28]),c_0_24]) ).
cnf(c_0_103,negated_conjecture,
( leq(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),esk4_0)
| ~ leq(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
addition(esk5_0,esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = esk5_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_52,c_0_97]),c_0_92]),c_0_24]),c_0_92]),c_0_24]),c_0_92]) ).
cnf(c_0_105,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_106,negated_conjecture,
multiplication(c(esk7_0),esk7_0) = zero,
inference(spm,[status(thm)],[c_0_99,c_0_63]) ).
cnf(c_0_107,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_108,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_109,negated_conjecture,
( addition(multiplication(esk7_0,esk4_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) != multiplication(esk7_0,esk4_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0)) != multiplication(esk7_0,esk6_0)
| ~ leq(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_28]) ).
cnf(c_0_110,negated_conjecture,
leq(esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_28]),c_0_24]),c_0_104])]) ).
cnf(c_0_111,negated_conjecture,
addition(multiplication(X1,multiplication(esk7_0,esk5_0)),multiplication(X1,esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)))) = multiplication(X1,multiplication(esk7_0,esk5_0)),
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_112,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk7_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_113,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_108,c_0_24]) ).
cnf(c_0_114,negated_conjecture,
( addition(multiplication(esk7_0,esk4_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) != multiplication(esk7_0,esk4_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk6_0)) != multiplication(esk7_0,esk6_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) != multiplication(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_28]) ).
cnf(c_0_115,negated_conjecture,
addition(esk4_0,esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = esk4_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_110]),c_0_24]) ).
cnf(c_0_116,negated_conjecture,
multiplication(c(esk7_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_117,negated_conjecture,
( addition(multiplication(esk7_0,esk4_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) != multiplication(esk7_0,esk4_0)
| addition(multiplication(esk7_0,esk4_0),multiplication(esk7_0,esk5_0)) != multiplication(esk7_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_37])]) ).
cnf(c_0_118,negated_conjecture,
addition(multiplication(X1,esk4_0),multiplication(X1,esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)))) = multiplication(X1,esk4_0),
inference(spm,[status(thm)],[c_0_33,c_0_115]) ).
cnf(c_0_119,negated_conjecture,
multiplication(esk7_0,esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) = esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_116]),c_0_108]) ).
cnf(c_0_120,negated_conjecture,
addition(multiplication(esk7_0,esk4_0),esk2_3(multiplication(esk7_0,esk5_0),multiplication(esk7_0,esk6_0),multiplication(esk7_0,esk4_0))) != multiplication(esk7_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_42])]) ).
cnf(c_0_121,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE031+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:52:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 17.29/17.36 % Version : CSE_E---1.5
% 17.29/17.36 % Problem : theBenchmark.p
% 17.29/17.36 % Proof found
% 17.29/17.36 % SZS status Theorem for theBenchmark.p
% 17.29/17.36 % SZS output start Proof
% See solution above
% 17.29/17.37 % Total time : 16.764000 s
% 17.29/17.37 % SZS output end Proof
% 17.29/17.37 % Total time : 16.768000 s
%------------------------------------------------------------------------------