TSTP Solution File: SET608+3 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SET608+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : Mon Jun 24 14:26:01 EDT 2024
% Result : Theorem 230.29s 29.59s
% Output : CNFRefutation 230.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 8
% Syntax : Number of formulae : 200 ( 130 unt; 0 def)
% Number of atoms : 313 ( 79 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 180 ( 67 ~; 92 |; 14 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 572 ( 110 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(difference_defn,axiom,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p',difference_defn) ).
fof(subset_defn,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p',subset_defn) ).
fof(intersection_defn,axiom,
! [X1,X2,X3] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p',intersection_defn) ).
fof(equal_defn,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p',equal_defn) ).
fof(commutativity_of_intersection,axiom,
! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p',commutativity_of_intersection) ).
fof(union_defn,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p',union_defn) ).
fof(commutativity_of_union,axiom,
! [X1,X2] : union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p',commutativity_of_union) ).
fof(prove_union_intersection_difference,conjecture,
! [X1,X2] : union(intersection(X1,X2),difference(X1,X2)) = X1,
file('/export/starexec/sandbox/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p',prove_union_intersection_difference) ).
fof(c_0_8,plain,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[difference_defn]) ).
fof(c_0_9,plain,
! [X11,X12,X13] :
( ( member(X13,X11)
| ~ member(X13,difference(X11,X12)) )
& ( ~ member(X13,X12)
| ~ member(X13,difference(X11,X12)) )
& ( ~ member(X13,X11)
| member(X13,X12)
| member(X13,difference(X11,X12)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_10,plain,
! [X19,X20,X21,X22,X23] :
( ( ~ subset(X19,X20)
| ~ member(X21,X19)
| member(X21,X20) )
& ( member(esk3_2(X22,X23),X22)
| subset(X22,X23) )
& ( ~ member(esk3_2(X22,X23),X23)
| subset(X22,X23) ) ),
inference(distribute,[status(thm)],[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)],[subset_defn])])])])])])]) ).
cnf(c_0_11,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( member(esk3_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X14,X15,X16] :
( ( member(X16,X14)
| ~ member(X16,intersection(X14,X15)) )
& ( member(X16,X15)
| ~ member(X16,intersection(X14,X15)) )
& ( ~ member(X16,X14)
| ~ member(X16,X15)
| member(X16,intersection(X14,X15)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection_defn])])])]) ).
fof(c_0_14,plain,
! [X32,X33] :
( ( subset(X32,X33)
| X32 != X33 )
& ( subset(X33,X32)
| X32 != X33 )
& ( ~ subset(X32,X33)
| ~ subset(X33,X32)
| X32 = X33 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])])]) ).
cnf(c_0_15,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( subset(difference(X1,X2),X3)
| member(esk3_2(difference(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk3_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_23,plain,
( subset(intersection(X1,X2),X3)
| member(esk3_2(intersection(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_24,plain,
( subset(intersection(X1,X2),X3)
| member(esk3_2(intersection(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_25,plain,
( difference(X1,X2) = X1
| ~ subset(X1,difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
subset(difference(X1,X1),X2),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_27,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,plain,
( member(X1,X3)
| member(X1,difference(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,plain,
( subset(intersection(X1,difference(X2,X3)),X4)
| ~ member(esk3_2(intersection(X1,difference(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_30,plain,
( subset(intersection(intersection(X1,X2),X3),X4)
| member(esk3_2(intersection(intersection(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_31,plain,
difference(difference(X1,X1),X2) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( member(X1,X2)
| ~ member(X1,difference(X3,X3)) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_33,plain,
( subset(X1,difference(X2,X3))
| member(esk3_2(X1,difference(X2,X3)),X3)
| ~ member(esk3_2(X1,difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_28]) ).
cnf(c_0_34,plain,
( X1 = difference(X2,X2)
| ~ subset(X1,difference(X2,X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_35,plain,
subset(intersection(intersection(X1,X2),difference(X3,X1)),X4),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_37,plain,
~ member(X1,difference(X2,X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_31]),c_0_32]) ).
cnf(c_0_38,plain,
( subset(X1,difference(X1,X2))
| member(esk3_2(X1,difference(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_39,plain,
( subset(difference(difference(X1,X2),X3),X4)
| member(esk3_2(difference(difference(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_40,plain,
intersection(intersection(X1,X2),difference(X3,X1)) = difference(X4,X4),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( subset(X1,intersection(X2,X3))
| ~ member(esk3_2(X1,intersection(X2,X3)),X3)
| ~ member(esk3_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_36]) ).
cnf(c_0_42,plain,
( subset(difference(intersection(X1,X2),X3),X4)
| member(esk3_2(difference(intersection(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
fof(c_0_43,plain,
! [X17,X18] : intersection(X17,X18) = intersection(X18,X17),
inference(variable_rename,[status(thm)],[commutativity_of_intersection]) ).
cnf(c_0_44,plain,
subset(X1,difference(X1,difference(X2,X2))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
subset(difference(difference(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_22,c_0_39]) ).
cnf(c_0_46,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,intersection(X3,X4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_40]),c_0_37]) ).
cnf(c_0_47,plain,
( subset(difference(intersection(X1,X2),X3),X4)
| member(esk3_2(difference(intersection(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_48,plain,
( subset(difference(intersection(X1,X2),X3),intersection(X4,X1))
| ~ member(esk3_2(difference(intersection(X1,X2),X3),intersection(X4,X1)),X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
difference(X1,difference(X2,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_44]),c_0_21])]) ).
cnf(c_0_51,plain,
difference(difference(difference(X1,X2),X1),X3) = difference(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_45]) ).
fof(c_0_52,plain,
! [X6,X7,X8] :
( ( ~ member(X8,union(X6,X7))
| member(X8,X6)
| member(X8,X7) )
& ( ~ member(X8,X6)
| member(X8,union(X6,X7)) )
& ( ~ member(X8,X7)
| member(X8,union(X6,X7)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])])]) ).
cnf(c_0_53,plain,
( subset(difference(X1,intersection(X2,X3)),X4)
| ~ member(esk3_2(difference(X1,intersection(X2,X3)),X4),X3)
| ~ member(esk3_2(difference(X1,intersection(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_36]) ).
cnf(c_0_54,plain,
( subset(difference(difference(X1,X2),X3),X4)
| ~ member(esk3_2(difference(difference(X1,X2),X3),X4),intersection(X2,X5)) ),
inference(spm,[status(thm)],[c_0_46,c_0_16]) ).
cnf(c_0_55,plain,
( subset(difference(difference(X1,X2),X3),difference(X1,X4))
| member(esk3_2(difference(difference(X1,X2),X3),difference(X1,X4)),X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_56,plain,
( subset(difference(intersection(X1,intersection(X2,X3)),X4),X5)
| member(esk3_2(difference(intersection(X1,intersection(X2,X3)),X4),X5),X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_47]) ).
cnf(c_0_57,plain,
subset(difference(intersection(X1,X2),X3),intersection(X1,intersection(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_16]),c_0_49]) ).
cnf(c_0_58,plain,
difference(X1,difference(difference(X2,X3),X2)) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,plain,
( subset(intersection(difference(X1,X2),X3),X4)
| ~ member(esk3_2(intersection(difference(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_61,plain,
( subset(difference(X1,intersection(X2,X1)),X3)
| ~ member(esk3_2(difference(X1,intersection(X2,X1)),X3),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_16]) ).
cnf(c_0_62,plain,
( subset(difference(X1,X2),difference(X1,X3))
| member(esk3_2(difference(X1,X2),difference(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_16]) ).
cnf(c_0_63,plain,
subset(difference(difference(X1,X2),X3),difference(X1,intersection(X2,X4))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
subset(difference(intersection(X1,intersection(X2,X3)),X4),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_48,c_0_56]) ).
cnf(c_0_65,plain,
subset(intersection(X1,X2),intersection(X1,intersection(X1,X2))),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,plain,
subset(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_67,plain,
( subset(difference(X1,difference(X2,X3)),X4)
| member(esk3_2(difference(X1,difference(X2,X3)),X4),X3)
| ~ member(esk3_2(difference(X1,difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_28]) ).
cnf(c_0_68,plain,
( subset(difference(X1,union(X2,X3)),X4)
| ~ member(esk3_2(difference(X1,union(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_59]) ).
cnf(c_0_69,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_70,plain,
subset(intersection(X1,difference(X2,X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_23]),c_0_49]) ).
cnf(c_0_71,plain,
subset(difference(X1,intersection(X2,X1)),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_72,plain,
subset(difference(X1,X2),difference(X1,intersection(X2,X3))),
inference(spm,[status(thm)],[c_0_63,c_0_58]) ).
cnf(c_0_73,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_64,c_0_58]) ).
cnf(c_0_74,plain,
intersection(X1,intersection(X1,X2)) = intersection(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_65]),c_0_66])]) ).
cnf(c_0_75,plain,
( subset(difference(X1,X2),intersection(X3,X1))
| ~ member(esk3_2(difference(X1,X2),intersection(X3,X1)),X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_16]) ).
cnf(c_0_76,plain,
( subset(difference(X1,difference(X1,X2)),X3)
| member(esk3_2(difference(X1,difference(X1,X2)),X3),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_16]) ).
cnf(c_0_77,plain,
subset(difference(X1,union(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_68,c_0_16]) ).
cnf(c_0_78,plain,
( subset(intersection(difference(X1,X2),X3),X4)
| member(esk3_2(intersection(difference(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
cnf(c_0_79,plain,
( subset(intersection(X1,union(X2,X3)),X4)
| member(esk3_2(intersection(X1,union(X2,X3)),X4),X2)
| member(esk3_2(intersection(X1,union(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_69,c_0_23]) ).
cnf(c_0_80,plain,
difference(intersection(X1,difference(X2,X1)),X3) = intersection(X1,difference(X2,X1)),
inference(spm,[status(thm)],[c_0_25,c_0_70]) ).
cnf(c_0_81,plain,
difference(X1,intersection(X2,X1)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_71]),c_0_72])]) ).
cnf(c_0_82,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(X1,X2)),
inference(spm,[status(thm)],[c_0_73,c_0_49]) ).
cnf(c_0_83,plain,
intersection(X1,intersection(X2,X1)) = intersection(X2,X1),
inference(spm,[status(thm)],[c_0_74,c_0_49]) ).
cnf(c_0_84,plain,
subset(difference(X1,difference(X1,X2)),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_85,plain,
difference(X1,union(X2,X1)) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_34,c_0_77]) ).
cnf(c_0_86,plain,
( subset(intersection(difference(X1,X2),X3),intersection(X4,X1))
| ~ member(esk3_2(intersection(difference(X1,X2),X3),intersection(X4,X1)),X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_78]) ).
cnf(c_0_87,plain,
( subset(intersection(difference(X1,X2),union(X2,X3)),X4)
| member(esk3_2(intersection(difference(X1,X2),union(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_79]) ).
cnf(c_0_88,plain,
difference(X1,intersection(X2,difference(X3,X2))) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_80]) ).
cnf(c_0_89,plain,
difference(X1,intersection(X1,X2)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_81,c_0_49]) ).
cnf(c_0_90,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(X1,X3)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_91,plain,
subset(X1,intersection(X1,union(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_50]),c_0_49]) ).
cnf(c_0_92,plain,
subset(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_93,plain,
subset(intersection(difference(X1,X2),union(X2,X3)),intersection(X3,X1)),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_94,plain,
difference(X1,difference(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,plain,
subset(intersection(intersection(X1,X2),X3),intersection(X3,X2)),
inference(spm,[status(thm)],[c_0_90,c_0_49]) ).
cnf(c_0_96,plain,
intersection(X1,union(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_91]),c_0_92])]) ).
cnf(c_0_97,plain,
subset(intersection(X1,union(difference(X2,X1),X3)),intersection(X3,X1)),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
subset(intersection(X1,X2),intersection(X2,union(X3,X1))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,plain,
intersection(X1,union(difference(X2,X1),X3)) = intersection(X3,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_97]),c_0_98])]) ).
cnf(c_0_100,plain,
( subset(difference(difference(X1,X2),X3),X4)
| ~ member(esk3_2(difference(difference(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_101,plain,
( subset(difference(difference(union(X1,X2),X3),X4),X5)
| member(esk3_2(difference(difference(union(X1,X2),X3),X4),X5),X1)
| member(esk3_2(difference(difference(union(X1,X2),X3),X4),X5),X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_39]) ).
fof(c_0_102,plain,
! [X9,X10] : union(X9,X10) = union(X10,X9),
inference(variable_rename,[status(thm)],[commutativity_of_union]) ).
cnf(c_0_103,plain,
subset(intersection(difference(X1,X2),difference(X3,X1)),X4),
inference(spm,[status(thm)],[c_0_29,c_0_78]) ).
cnf(c_0_104,plain,
subset(difference(X1,X2),intersection(X1,difference(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_12]),c_0_49]) ).
cnf(c_0_105,plain,
intersection(difference(X1,X2),union(X2,X3)) = intersection(X3,difference(X1,X2)),
inference(spm,[status(thm)],[c_0_99,c_0_94]) ).
cnf(c_0_106,plain,
( subset(difference(intersection(X1,X2),X3),difference(X1,X4))
| member(esk3_2(difference(intersection(X1,X2),X3),difference(X1,X4)),X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_42]) ).
cnf(c_0_107,plain,
( subset(difference(difference(union(X1,X2),X2),X3),X4)
| member(esk3_2(difference(difference(union(X1,X2),X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_108,plain,
union(X1,X2) = union(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_109,plain,
intersection(difference(X1,X2),difference(X3,X1)) = difference(X4,X4),
inference(spm,[status(thm)],[c_0_34,c_0_103]) ).
cnf(c_0_110,plain,
( subset(intersection(X1,X2),difference(X1,X3))
| member(esk3_2(intersection(X1,X2),difference(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_24]) ).
cnf(c_0_111,plain,
intersection(X1,difference(X1,X2)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_104]),c_0_66])]) ).
cnf(c_0_112,plain,
intersection(union(X1,X2),difference(X3,X1)) = intersection(X2,difference(X3,X1)),
inference(spm,[status(thm)],[c_0_49,c_0_105]) ).
cnf(c_0_113,plain,
subset(difference(intersection(X1,X2),X3),difference(X1,X3)),
inference(spm,[status(thm)],[c_0_22,c_0_106]) ).
cnf(c_0_114,plain,
subset(difference(X1,X2),intersection(X1,X1)),
inference(spm,[status(thm)],[c_0_75,c_0_16]) ).
cnf(c_0_115,plain,
subset(difference(difference(union(X1,intersection(X1,X2)),X1),X3),X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_107]),c_0_108]) ).
cnf(c_0_116,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,difference(X3,X4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_109]),c_0_37]) ).
cnf(c_0_117,plain,
subset(intersection(X1,difference(X2,X3)),difference(X1,X3)),
inference(spm,[status(thm)],[c_0_29,c_0_110]) ).
cnf(c_0_118,plain,
intersection(X1,difference(union(X2,X1),X2)) = difference(union(X2,X1),X2),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,plain,
subset(difference(intersection(X1,X2),X3),difference(X2,X3)),
inference(spm,[status(thm)],[c_0_113,c_0_49]) ).
cnf(c_0_120,plain,
( subset(difference(intersection(X1,X2),difference(X1,X3)),X4)
| member(esk3_2(difference(intersection(X1,X2),difference(X1,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_42]) ).
cnf(c_0_121,plain,
subset(X1,intersection(X1,X1)),
inference(spm,[status(thm)],[c_0_114,c_0_58]) ).
cnf(c_0_122,plain,
subset(difference(union(X1,intersection(X1,X2)),X1),X3),
inference(spm,[status(thm)],[c_0_115,c_0_58]) ).
cnf(c_0_123,plain,
( subset(difference(difference(X1,X2),X3),X4)
| ~ member(esk3_2(difference(difference(X1,X2),X3),X4),difference(X2,X5)) ),
inference(spm,[status(thm)],[c_0_116,c_0_16]) ).
cnf(c_0_124,plain,
subset(difference(union(X1,X2),X1),difference(X2,X1)),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,plain,
subset(difference(X1,X2),difference(union(X3,X1),X2)),
inference(spm,[status(thm)],[c_0_119,c_0_96]) ).
cnf(c_0_126,plain,
intersection(X1,union(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_96,c_0_108]) ).
cnf(c_0_127,plain,
subset(difference(intersection(X1,X2),difference(X1,X3)),X3),
inference(spm,[status(thm)],[c_0_15,c_0_120]) ).
cnf(c_0_128,plain,
intersection(X1,X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_121]),c_0_92])]) ).
cnf(c_0_129,plain,
subset(difference(union(X1,intersection(X2,X1)),X1),X3),
inference(spm,[status(thm)],[c_0_122,c_0_83]) ).
cnf(c_0_130,plain,
( subset(X1,union(X2,X3))
| ~ member(esk3_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_59]) ).
cnf(c_0_131,plain,
( subset(difference(intersection(X1,X2),difference(X2,X3)),X4)
| member(esk3_2(difference(intersection(X1,X2),difference(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_47]) ).
cnf(c_0_132,plain,
subset(difference(difference(union(X1,difference(X1,X2)),X1),X3),X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_107]),c_0_108]) ).
cnf(c_0_133,plain,
difference(union(X1,X2),X1) = difference(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_124]),c_0_125])]) ).
cnf(c_0_134,plain,
subset(difference(X1,X2),difference(union(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_119,c_0_126]) ).
cnf(c_0_135,plain,
subset(difference(X1,difference(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_136,plain,
difference(union(X1,intersection(X2,X1)),X1) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_34,c_0_129]) ).
cnf(c_0_137,plain,
subset(X1,union(X2,X1)),
inference(spm,[status(thm)],[c_0_130,c_0_12]) ).
cnf(c_0_138,plain,
subset(difference(intersection(X1,X2),difference(X2,X3)),intersection(X3,X1)),
inference(spm,[status(thm)],[c_0_48,c_0_131]) ).
cnf(c_0_139,plain,
subset(intersection(difference(X1,X2),X3),difference(X3,X2)),
inference(spm,[status(thm)],[c_0_117,c_0_49]) ).
cnf(c_0_140,plain,
subset(difference(union(X1,difference(X1,X2)),X1),X3),
inference(spm,[status(thm)],[c_0_132,c_0_58]) ).
cnf(c_0_141,plain,
subset(difference(union(X1,X2),difference(X2,X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_133]),c_0_126]) ).
cnf(c_0_142,plain,
subset(X1,difference(union(X1,X2),difference(X3,X1))),
inference(spm,[status(thm)],[c_0_134,c_0_94]) ).
cnf(c_0_143,plain,
subset(union(X1,intersection(X2,X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_50]) ).
cnf(c_0_144,plain,
subset(X1,union(X1,X2)),
inference(spm,[status(thm)],[c_0_137,c_0_108]) ).
cnf(c_0_145,plain,
subset(difference(X1,difference(union(X2,X1),X3)),intersection(X3,X1)),
inference(spm,[status(thm)],[c_0_138,c_0_96]) ).
cnf(c_0_146,plain,
subset(intersection(X1,X2),difference(X2,difference(X3,X1))),
inference(spm,[status(thm)],[c_0_139,c_0_94]) ).
cnf(c_0_147,plain,
difference(union(X1,difference(X1,X2)),X1) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_34,c_0_140]) ).
cnf(c_0_148,plain,
difference(union(X1,X2),difference(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_141]),c_0_142])]) ).
cnf(c_0_149,plain,
union(X1,intersection(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_143]),c_0_144])]) ).
cnf(c_0_150,plain,
subset(difference(X1,X2),difference(difference(X1,X2),X2)),
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
cnf(c_0_151,plain,
subset(difference(intersection(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_22,c_0_42]) ).
cnf(c_0_152,plain,
difference(X1,difference(union(X2,X1),X3)) = intersection(X3,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_145]),c_0_146])]) ).
cnf(c_0_153,plain,
subset(union(X1,difference(X1,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_147]),c_0_50]) ).
cnf(c_0_154,plain,
difference(X1,difference(X1,X2)) = intersection(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_81]),c_0_108]),c_0_149]) ).
cnf(c_0_155,plain,
difference(difference(X1,X2),X2) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_150]),c_0_21])]) ).
cnf(c_0_156,plain,
( X1 = difference(intersection(X2,X3),X2)
| ~ subset(X1,difference(intersection(X2,X3),X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_151]) ).
cnf(c_0_157,plain,
difference(difference(intersection(X1,X2),X1),X3) = difference(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_151]) ).
cnf(c_0_158,plain,
intersection(X1,intersection(X2,union(X3,X1))) = intersection(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_81]),c_0_152]),c_0_49]) ).
cnf(c_0_159,plain,
union(X1,difference(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_153]),c_0_144])]) ).
cnf(c_0_160,plain,
intersection(X1,difference(union(X2,X1),X3)) = difference(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_152]),c_0_81]),c_0_49]) ).
cnf(c_0_161,plain,
subset(difference(X1,X2),difference(difference(X1,X2),intersection(X2,X3))),
inference(spm,[status(thm)],[c_0_72,c_0_155]) ).
cnf(c_0_162,plain,
intersection(difference(X1,X2),intersection(X2,X3)) = difference(intersection(X2,X3),X2),
inference(spm,[status(thm)],[c_0_156,c_0_139]) ).
cnf(c_0_163,plain,
difference(X1,difference(intersection(X2,X3),X2)) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_157]) ).
cnf(c_0_164,plain,
intersection(difference(X1,X2),intersection(X3,X1)) = intersection(X3,difference(X1,X2)),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_165,plain,
intersection(intersection(X1,X2),difference(X2,X3)) = difference(intersection(X1,X2),X3),
inference(spm,[status(thm)],[c_0_160,c_0_149]) ).
cnf(c_0_166,plain,
difference(difference(X1,X2),intersection(X2,X3)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_161]),c_0_21])]) ).
cnf(c_0_167,plain,
difference(intersection(X1,X2),difference(X3,X1)) = intersection(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_162]),c_0_163]) ).
cnf(c_0_168,plain,
difference(intersection(X1,X2),X3) = intersection(X1,difference(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_164]),c_0_165]) ).
cnf(c_0_169,plain,
difference(difference(X1,X2),intersection(X3,X2)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_166,c_0_83]) ).
cnf(c_0_170,plain,
difference(difference(X1,X2),difference(X1,X3)) = intersection(X3,difference(X1,X2)),
inference(spm,[status(thm)],[c_0_152,c_0_159]) ).
cnf(c_0_171,plain,
intersection(difference(X1,X2),difference(X1,X3)) = difference(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_160,c_0_159]) ).
cnf(c_0_172,plain,
difference(X1,union(difference(X2,X1),X3)) = difference(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_99]),c_0_81]) ).
cnf(c_0_173,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_174,plain,
( subset(difference(union(X1,X2),X3),X4)
| member(esk3_2(difference(union(X1,X2),X3),X4),X1)
| member(esk3_2(difference(union(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_16]) ).
cnf(c_0_175,plain,
intersection(X1,difference(X2,difference(X3,X1))) = intersection(X1,X2),
inference(rw,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_176,plain,
difference(difference(X1,union(X2,X3)),X2) = difference(X1,union(X2,X3)),
inference(spm,[status(thm)],[c_0_169,c_0_126]) ).
cnf(c_0_177,plain,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_170]),c_0_81]),c_0_171]) ).
cnf(c_0_178,plain,
difference(difference(X1,X2),union(X2,X3)) = difference(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_172,c_0_94]) ).
cnf(c_0_179,plain,
( subset(difference(X1,union(X2,X3)),X4)
| ~ member(esk3_2(difference(X1,union(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_173]) ).
cnf(c_0_180,plain,
( subset(difference(union(X1,X2),union(X3,X1)),X4)
| member(esk3_2(difference(union(X1,X2),union(X3,X1)),X4),X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_174]) ).
cnf(c_0_181,plain,
subset(difference(X1,difference(union(X1,X2),X3)),intersection(X3,X1)),
inference(spm,[status(thm)],[c_0_138,c_0_126]) ).
cnf(c_0_182,plain,
difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_175]),c_0_89]) ).
cnf(c_0_183,plain,
difference(difference(X1,X2),X3) = difference(X1,union(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_184,plain,
subset(difference(union(X1,X2),union(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_185,plain,
difference(X1,difference(union(X1,X2),X3)) = intersection(X3,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_181]),c_0_146])]) ).
cnf(c_0_186,plain,
difference(X1,union(X2,difference(X3,X2))) = difference(X1,union(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_148]),c_0_183]),c_0_183]) ).
cnf(c_0_187,plain,
difference(union(X1,X2),union(X2,X1)) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_34,c_0_184]) ).
cnf(c_0_188,plain,
intersection(union(X1,difference(X2,X1)),X3) = intersection(union(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_185]) ).
cnf(c_0_189,plain,
difference(union(X1,intersection(X1,X2)),X1) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_34,c_0_122]) ).
fof(c_0_190,negated_conjecture,
~ ! [X1,X2] : union(intersection(X1,X2),difference(X1,X2)) = X1,
inference(assume_negation,[status(cth)],[prove_union_intersection_difference]) ).
cnf(c_0_191,plain,
intersection(union(X1,X2),union(X2,X1)) = union(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_187]),c_0_50]) ).
cnf(c_0_192,plain,
intersection(X1,union(X2,difference(X3,X2))) = intersection(X1,union(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_188]),c_0_186]),c_0_99]) ).
cnf(c_0_193,plain,
subset(union(X1,intersection(X1,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_189]),c_0_50]) ).
fof(c_0_194,negated_conjecture,
union(intersection(esk1_0,esk2_0),difference(esk1_0,esk2_0)) != esk1_0,
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_190])])])]) ).
cnf(c_0_195,plain,
union(X1,difference(X2,X1)) = union(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_108]),c_0_188]),c_0_128]) ).
cnf(c_0_196,plain,
union(X1,intersection(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_193]),c_0_144])]) ).
cnf(c_0_197,negated_conjecture,
union(intersection(esk1_0,esk2_0),difference(esk1_0,esk2_0)) != esk1_0,
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_198,plain,
union(intersection(X1,X2),difference(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_89]),c_0_108]),c_0_196]) ).
cnf(c_0_199,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET608+3 : TPTP v8.2.0. Released v2.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 13:39:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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/tmp/tmp.Ce6pBCPeA1/E---3.1_15253.p
% 230.29/29.59 # Version: 3.2.0
% 230.29/29.59 # Preprocessing class: FSMSSMSSSSSNFFN.
% 230.29/29.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 230.29/29.59 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 230.29/29.59 # Starting new_bool_3 with 300s (1) cores
% 230.29/29.59 # Starting new_bool_1 with 300s (1) cores
% 230.29/29.59 # Starting sh5l with 300s (1) cores
% 230.29/29.59 # sh5l with pid 15335 completed with status 0
% 230.29/29.59 # Result found by sh5l
% 230.29/29.59 # Preprocessing class: FSMSSMSSSSSNFFN.
% 230.29/29.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 230.29/29.59 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 230.29/29.59 # Starting new_bool_3 with 300s (1) cores
% 230.29/29.59 # Starting new_bool_1 with 300s (1) cores
% 230.29/29.59 # Starting sh5l with 300s (1) cores
% 230.29/29.59 # SinE strategy is gf500_gu_R04_F100_L20000
% 230.29/29.59 # Search class: FGHSS-FFSF22-SFFFFFNN
% 230.29/29.59 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 230.29/29.59 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 230.29/29.59 # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 15338 completed with status 0
% 230.29/29.59 # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 230.29/29.59 # Preprocessing class: FSMSSMSSSSSNFFN.
% 230.29/29.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 230.29/29.59 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 230.29/29.59 # Starting new_bool_3 with 300s (1) cores
% 230.29/29.59 # Starting new_bool_1 with 300s (1) cores
% 230.29/29.59 # Starting sh5l with 300s (1) cores
% 230.29/29.59 # SinE strategy is gf500_gu_R04_F100_L20000
% 230.29/29.59 # Search class: FGHSS-FFSF22-SFFFFFNN
% 230.29/29.59 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 230.29/29.59 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 230.29/29.59 # Preprocessing time : 0.001 s
% 230.29/29.59 # Presaturation interreduction done
% 230.29/29.59
% 230.29/29.59 # Proof found!
% 230.29/29.59 # SZS status Theorem
% 230.29/29.59 # SZS output start CNFRefutation
% See solution above
% 230.29/29.59 # Parsed axioms : 10
% 230.29/29.59 # Removed by relevancy pruning/SinE : 0
% 230.29/29.59 # Initial clauses : 23
% 230.29/29.59 # Removed in clause preprocessing : 2
% 230.29/29.59 # Initial clauses in saturation : 21
% 230.29/29.59 # Processed clauses : 81712
% 230.29/29.59 # ...of these trivial : 8431
% 230.29/29.59 # ...subsumed : 67828
% 230.29/29.59 # ...remaining for further processing : 5453
% 230.29/29.59 # Other redundant clauses eliminated : 2
% 230.29/29.59 # Clauses deleted for lack of memory : 0
% 230.29/29.59 # Backward-subsumed : 8
% 230.29/29.59 # Backward-rewritten : 3649
% 230.29/29.59 # Generated clauses : 3641431
% 230.29/29.59 # ...of the previous two non-redundant : 2097124
% 230.29/29.59 # ...aggressively subsumed : 0
% 230.29/29.59 # Contextual simplify-reflections : 5
% 230.29/29.59 # Paramodulations : 3639505
% 230.29/29.59 # Factorizations : 1924
% 230.29/29.59 # NegExts : 0
% 230.29/29.59 # Equation resolutions : 2
% 230.29/29.59 # Disequality decompositions : 0
% 230.29/29.59 # Total rewrite steps : 5697389
% 230.29/29.59 # ...of those cached : 5418407
% 230.29/29.59 # Propositional unsat checks : 0
% 230.29/29.59 # Propositional check models : 0
% 230.29/29.59 # Propositional check unsatisfiable : 0
% 230.29/29.59 # Propositional clauses : 0
% 230.29/29.59 # Propositional clauses after purity: 0
% 230.29/29.59 # Propositional unsat core size : 0
% 230.29/29.59 # Propositional preprocessing time : 0.000
% 230.29/29.59 # Propositional encoding time : 0.000
% 230.29/29.59 # Propositional solver time : 0.000
% 230.29/29.59 # Success case prop preproc time : 0.000
% 230.29/29.59 # Success case prop encoding time : 0.000
% 230.29/29.59 # Success case prop solver time : 0.000
% 230.29/29.59 # Current number of processed clauses : 1775
% 230.29/29.59 # Positive orientable unit clauses : 1015
% 230.29/29.59 # Positive unorientable unit clauses: 23
% 230.29/29.59 # Negative unit clauses : 7
% 230.29/29.59 # Non-unit-clauses : 730
% 230.29/29.59 # Current number of unprocessed clauses: 2001239
% 230.29/29.59 # ...number of literals in the above : 4792046
% 230.29/29.59 # Current number of archived formulas : 0
% 230.29/29.59 # Current number of archived clauses : 3676
% 230.29/29.59 # Clause-clause subsumption calls (NU) : 1311764
% 230.29/29.59 # Rec. Clause-clause subsumption calls : 684737
% 230.29/29.59 # Non-unit clause-clause subsumptions : 13866
% 230.29/29.59 # Unit Clause-clause subsumption calls : 958393
% 230.29/29.59 # Rewrite failures with RHS unbound : 8816
% 230.29/29.59 # BW rewrite match attempts : 132134
% 230.29/29.59 # BW rewrite match successes : 3296
% 230.29/29.59 # Condensation attempts : 0
% 230.29/29.59 # Condensation successes : 0
% 230.29/29.59 # Termbank termtop insertions : 52709129
% 230.29/29.59 # Search garbage collected termcells : 331
% 230.29/29.59
% 230.29/29.59 # -------------------------------------------------
% 230.29/29.59 # User time : 27.533 s
% 230.29/29.59 # System time : 1.141 s
% 230.29/29.59 # Total time : 28.674 s
% 230.29/29.59 # Maximum resident set size: 1720 pages
% 230.29/29.59
% 230.29/29.59 # -------------------------------------------------
% 230.29/29.59 # User time : 27.533 s
% 230.29/29.59 # System time : 1.144 s
% 230.29/29.59 # Total time : 28.678 s
% 230.29/29.59 # Maximum resident set size: 1684 pages
% 230.29/29.59 % E---3.1 exiting
% 230.29/29.59 % E exiting
%------------------------------------------------------------------------------