TSTP Solution File: SET608+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET608+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 : 600s
% DateTime : Tue Jul 19 00:52:27 EDT 2022
% Result : Theorem 0.40s 34.57s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 120 ( 58 unt; 0 def)
% Number of atoms : 224 ( 42 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 170 ( 66 ~; 85 |; 13 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 329 ( 61 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(difference_defn,axiom,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',difference_defn) ).
fof(subset_defn,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',subset_defn) ).
fof(equal_defn,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',equal_defn) ).
fof(union_defn,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',union_defn) ).
fof(commutativity_of_union,axiom,
! [X1,X2] : union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_of_union) ).
fof(intersection_defn,axiom,
! [X1,X2,X3] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',intersection_defn) ).
fof(commutativity_of_intersection,axiom,
! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_of_intersection) ).
fof(prove_union_intersection_difference,conjecture,
! [X1,X2] : union(intersection(X1,X2),difference(X1,X2)) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_union_intersection_difference) ).
fof(c_0_8,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( member(X6,X4)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X5)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X4)
| member(X6,X5)
| member(X6,difference(X4,X5)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[difference_defn])])])])])]) ).
fof(c_0_9,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk1_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk1_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subset_defn])])])])])])]) ).
cnf(c_0_10,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X3,X4,X3,X4] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])])])]) ).
cnf(c_0_13,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( subset(difference(X1,X2),X3)
| member(esk1_2(difference(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk1_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_19,plain,
( difference(X1,X2) = X1
| ~ subset(X1,difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
subset(difference(X1,X1),X2),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_21,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_22,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ member(X6,union(X4,X5))
| member(X6,X4)
| member(X6,X5) )
& ( ~ member(X6,X4)
| member(X6,union(X4,X5)) )
& ( ~ member(X6,X5)
| member(X6,union(X4,X5)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])])])]) ).
cnf(c_0_23,plain,
difference(difference(X1,X1),X2) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( member(X1,X2)
| ~ member(X1,difference(X3,X3)) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_25,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
~ member(X1,difference(X2,X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
( subset(union(X1,X2),X3)
| member(esk1_2(union(X1,X2),X3),X1)
| member(esk1_2(union(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_29,plain,
( subset(X1,union(X2,X3))
| ~ member(esk1_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_26]) ).
fof(c_0_30,plain,
! [X3,X4] : union(X3,X4) = union(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_of_union]) ).
fof(c_0_31,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( member(X6,X4)
| ~ member(X6,intersection(X4,X5)) )
& ( member(X6,X5)
| ~ member(X6,intersection(X4,X5)) )
& ( ~ member(X6,X4)
| ~ member(X6,X5)
| member(X6,intersection(X4,X5)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection_defn])])])])]) ).
cnf(c_0_32,plain,
( subset(union(X1,difference(X2,X2)),X3)
| member(esk1_2(union(X1,difference(X2,X2)),X3),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
subset(X1,union(X2,X1)),
inference(spm,[status(thm)],[c_0_29,c_0_11]) ).
cnf(c_0_34,plain,
union(X1,X2) = union(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
subset(union(X1,difference(X2,X2)),X1),
inference(spm,[status(thm)],[c_0_13,c_0_32]) ).
cnf(c_0_37,plain,
subset(X1,union(X1,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( subset(difference(X1,union(X2,X3)),X4)
| ~ member(esk1_2(difference(X1,union(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_39,plain,
( subset(intersection(X1,X2),X3)
| member(esk1_2(intersection(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_11]) ).
cnf(c_0_40,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
union(X1,difference(X2,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_36]),c_0_37])]) ).
cnf(c_0_42,plain,
subset(difference(X1,union(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_38,c_0_14]) ).
cnf(c_0_43,plain,
( subset(intersection(X1,difference(X2,X3)),X4)
| ~ member(esk1_2(intersection(X1,difference(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_39]) ).
cnf(c_0_44,plain,
( subset(intersection(X1,X2),X3)
| member(esk1_2(intersection(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_11]) ).
cnf(c_0_45,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_46,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,plain,
subset(difference(X1,X2),union(X3,X1)),
inference(spm,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_48,plain,
union(difference(X1,X1),X2) = X2,
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_49,plain,
difference(difference(X1,union(X2,X1)),X3) = difference(X1,union(X2,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_42]) ).
cnf(c_0_50,plain,
subset(intersection(X1,difference(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
( subset(X1,difference(X2,X3))
| member(esk1_2(X1,difference(X2,X3)),X3)
| ~ member(esk1_2(X1,difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_45]) ).
cnf(c_0_52,plain,
( subset(X1,intersection(X2,X3))
| ~ member(esk1_2(X1,intersection(X2,X3)),X3)
| ~ member(esk1_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_46]) ).
cnf(c_0_53,plain,
subset(difference(X1,X2),union(X1,X3)),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_54,plain,
union(difference(X1,union(X2,X1)),X3) = X3,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
difference(intersection(X1,difference(X2,X1)),X3) = intersection(X1,difference(X2,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_50]) ).
cnf(c_0_56,plain,
( subset(X1,difference(X1,X2))
| member(esk1_2(X1,difference(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_11]) ).
cnf(c_0_57,plain,
( subset(X1,intersection(X2,X1))
| ~ member(esk1_2(X1,intersection(X2,X1)),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_11]) ).
fof(c_0_58,plain,
! [X3,X4] : intersection(X3,X4) = intersection(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_of_intersection]) ).
cnf(c_0_59,plain,
( union(X1,X2) = difference(X1,X3)
| ~ subset(union(X1,X2),difference(X1,X3)) ),
inference(spm,[status(thm)],[c_0_16,c_0_53]) ).
cnf(c_0_60,plain,
union(intersection(X1,difference(X2,X1)),X3) = X3,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,plain,
( subset(intersection(X1,X2),intersection(X3,X1))
| ~ member(esk1_2(intersection(X1,X2),intersection(X3,X1)),X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
cnf(c_0_62,plain,
( subset(intersection(X1,difference(X2,X3)),X4)
| member(esk1_2(intersection(X1,difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_39]) ).
cnf(c_0_63,plain,
subset(X1,difference(X1,difference(X2,X2))),
inference(spm,[status(thm)],[c_0_27,c_0_56]) ).
cnf(c_0_64,plain,
( subset(difference(difference(X1,X2),X3),X4)
| member(esk1_2(difference(difference(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_65,plain,
( subset(X1,intersection(union(X2,X3),X1))
| ~ member(esk1_2(X1,intersection(union(X2,X3),X1)),X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_26]) ).
cnf(c_0_66,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,plain,
subset(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_13,c_0_39]) ).
cnf(c_0_68,plain,
( subset(difference(X1,intersection(X2,X3)),X4)
| ~ member(esk1_2(difference(X1,intersection(X2,X3)),X4),X3)
| ~ member(esk1_2(difference(X1,intersection(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_46]) ).
cnf(c_0_69,plain,
( X1 = intersection(X2,difference(X3,X2))
| ~ subset(X1,intersection(X2,difference(X3,X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_55]),c_0_55]) ).
cnf(c_0_70,plain,
subset(intersection(X1,difference(X2,X3)),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,plain,
difference(X1,difference(X2,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_63]),c_0_17])]) ).
cnf(c_0_72,plain,
subset(difference(difference(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_18,c_0_64]) ).
cnf(c_0_73,plain,
subset(X1,intersection(X1,union(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_11]),c_0_66]) ).
cnf(c_0_74,plain,
subset(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_67,c_0_66]) ).
cnf(c_0_75,plain,
( subset(difference(X1,intersection(X2,X1)),X3)
| ~ member(esk1_2(difference(X1,intersection(X2,X1)),X3),X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_14]) ).
cnf(c_0_76,plain,
intersection(difference(X1,X2),difference(X2,X3)) = intersection(X2,difference(X1,X2)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,plain,
difference(X1,intersection(X2,difference(X3,X2))) = X1,
inference(spm,[status(thm)],[c_0_71,c_0_55]) ).
cnf(c_0_78,plain,
difference(difference(difference(X1,X2),X1),X3) = difference(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_19,c_0_72]) ).
cnf(c_0_79,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_80,plain,
( subset(union(X1,difference(X2,X3)),X4)
| member(esk1_2(union(X1,difference(X2,X3)),X4),X1)
| member(esk1_2(union(X1,difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_28]) ).
cnf(c_0_81,plain,
intersection(X1,union(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_73]),c_0_74])]) ).
cnf(c_0_82,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk1_2(difference(X1,X2),X3),difference(X4,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_77]) ).
cnf(c_0_83,plain,
difference(X1,difference(difference(X2,X3),X2)) = X1,
inference(spm,[status(thm)],[c_0_71,c_0_78]) ).
cnf(c_0_84,plain,
( subset(X1,union(X2,X3))
| ~ member(esk1_2(X1,union(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_79]) ).
cnf(c_0_85,plain,
( subset(union(X1,difference(X1,X2)),X3)
| member(esk1_2(union(X1,difference(X1,X2)),X3),X1) ),
inference(ef,[status(thm)],[c_0_80]) ).
cnf(c_0_86,plain,
intersection(X1,union(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_81,c_0_34]) ).
cnf(c_0_87,plain,
( subset(difference(X1,difference(X2,X3)),X4)
| member(esk1_2(difference(X1,difference(X2,X3)),X4),X3)
| ~ member(esk1_2(difference(X1,difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_45]) ).
cnf(c_0_88,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),difference(X3,X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
( subset(X1,union(X2,union(X3,X4)))
| ~ member(esk1_2(X1,union(X2,union(X3,X4))),X4) ),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_90,plain,
( subset(union(X1,X2),union(X1,X3))
| member(esk1_2(union(X1,X2),union(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_28]) ).
cnf(c_0_91,plain,
subset(union(X1,difference(X1,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_85]),c_0_86]) ).
cnf(c_0_92,plain,
( subset(difference(X1,X2),intersection(X3,X1))
| ~ member(esk1_2(difference(X1,X2),intersection(X3,X1)),X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_14]) ).
cnf(c_0_93,plain,
( subset(difference(X1,difference(X1,X2)),X3)
| member(esk1_2(difference(X1,difference(X1,X2)),X3),X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_14]) ).
cnf(c_0_94,plain,
( subset(intersection(X1,X2),difference(X1,X3))
| member(esk1_2(intersection(X1,X2),difference(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_44]) ).
cnf(c_0_95,plain,
subset(X1,difference(X1,difference(X2,X1))),
inference(spm,[status(thm)],[c_0_88,c_0_56]) ).
cnf(c_0_96,plain,
subset(union(X1,X2),union(X1,union(X3,X2))),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,plain,
union(X1,difference(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_91]),c_0_37])]) ).
cnf(c_0_98,plain,
subset(difference(X1,difference(X1,X2)),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,plain,
subset(intersection(X1,difference(X2,X3)),difference(X1,X3)),
inference(spm,[status(thm)],[c_0_43,c_0_94]) ).
cnf(c_0_100,plain,
difference(X1,difference(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_95]),c_0_17])]) ).
cnf(c_0_101,plain,
subset(union(X1,difference(X2,X3)),union(X1,X2)),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,plain,
subset(difference(X1,difference(X1,X2)),intersection(X1,X2)),
inference(spm,[status(thm)],[c_0_98,c_0_66]) ).
cnf(c_0_103,plain,
subset(intersection(X1,X2),difference(X1,difference(X3,X2))),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,plain,
( union(X1,difference(X2,X3)) = union(X1,X2)
| ~ subset(union(X1,X2),union(X1,difference(X2,X3))) ),
inference(spm,[status(thm)],[c_0_16,c_0_101]) ).
cnf(c_0_105,plain,
difference(X1,difference(X1,X2)) = intersection(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_102]),c_0_103])]) ).
cnf(c_0_106,plain,
( subset(X1,union(X2,difference(X3,X4)))
| member(esk1_2(X1,union(X2,difference(X3,X4))),X4)
| ~ member(esk1_2(X1,union(X2,difference(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_45]) ).
cnf(c_0_107,plain,
subset(difference(X1,X2),intersection(X1,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_57,c_0_14]) ).
fof(c_0_108,negated_conjecture,
~ ! [X1,X2] : union(intersection(X1,X2),difference(X1,X2)) = X1,
inference(assume_negation,[status(cth)],[prove_union_intersection_difference]) ).
cnf(c_0_109,plain,
( union(X1,difference(X2,X3)) = union(X2,X1)
| ~ subset(union(X2,X1),union(X1,difference(X2,X3))) ),
inference(spm,[status(thm)],[c_0_104,c_0_34]) ).
cnf(c_0_110,plain,
union(X1,intersection(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_97,c_0_105]) ).
cnf(c_0_111,plain,
( subset(X1,union(X2,difference(X1,X3)))
| member(esk1_2(X1,union(X2,difference(X1,X3))),X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_11]) ).
cnf(c_0_112,plain,
intersection(X1,difference(X1,X2)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_107]),c_0_67])]) ).
fof(c_0_113,negated_conjecture,
union(intersection(esk3_0,esk4_0),difference(esk3_0,esk4_0)) != esk3_0,
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])]) ).
cnf(c_0_114,plain,
( union(intersection(X1,X2),difference(X1,X3)) = X1
| ~ subset(X1,union(intersection(X1,X2),difference(X1,X3))) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,plain,
subset(X1,union(X2,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_84,c_0_111]) ).
cnf(c_0_116,plain,
difference(X1,intersection(X1,X2)) = difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_105]),c_0_112]) ).
cnf(c_0_117,negated_conjecture,
union(intersection(esk3_0,esk4_0),difference(esk3_0,esk4_0)) != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_118,plain,
union(intersection(X1,X2),difference(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_119,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET608+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 07:11:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.43 eprover: CPU time limit exceeded, terminating
% 0.40/34.57 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.40/34.57
% 0.40/34.57 # Failure: Resource limit exceeded (time)
% 0.40/34.57 # OLD status Res
% 0.40/34.57 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.40/34.57 # Preprocessing time : 0.015 s
% 0.40/34.57 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.40/34.57 # Preprocessing time : 0.009 s
% 0.40/34.57
% 0.40/34.57 # Proof found!
% 0.40/34.57 # SZS status Theorem
% 0.40/34.57 # SZS output start CNFRefutation
% See solution above
% 0.40/34.57 # Proof object total steps : 120
% 0.40/34.57 # Proof object clause steps : 103
% 0.40/34.57 # Proof object formula steps : 17
% 0.40/34.57 # Proof object conjectures : 5
% 0.40/34.57 # Proof object clause conjectures : 2
% 0.40/34.57 # Proof object formula conjectures : 3
% 0.40/34.57 # Proof object initial clauses used : 16
% 0.40/34.57 # Proof object initial formulas used : 8
% 0.40/34.57 # Proof object generating inferences : 86
% 0.40/34.57 # Proof object simplifying inferences : 25
% 0.40/34.57 # Training examples: 0 positive, 0 negative
% 0.40/34.57 # Parsed axioms : 10
% 0.40/34.57 # Removed by relevancy pruning/SinE : 0
% 0.40/34.57 # Initial clauses : 23
% 0.40/34.57 # Removed in clause preprocessing : 2
% 0.40/34.57 # Initial clauses in saturation : 21
% 0.40/34.57 # Processed clauses : 33276
% 0.40/34.57 # ...of these trivial : 1336
% 0.40/34.57 # ...subsumed : 29493
% 0.40/34.57 # ...remaining for further processing : 2447
% 0.40/34.57 # Other redundant clauses eliminated : 2
% 0.40/34.57 # Clauses deleted for lack of memory : 691784
% 0.40/34.57 # Backward-subsumed : 54
% 0.40/34.57 # Backward-rewritten : 100
% 0.40/34.57 # Generated clauses : 968468
% 0.40/34.57 # ...of the previous two non-trivial : 858309
% 0.40/34.57 # Contextual simplify-reflections : 2083
% 0.40/34.57 # Paramodulations : 966218
% 0.40/34.57 # Factorizations : 2248
% 0.40/34.57 # Equation resolutions : 2
% 0.40/34.57 # Current number of processed clauses : 2291
% 0.40/34.57 # Positive orientable unit clauses : 436
% 0.40/34.57 # Positive unorientable unit clauses: 21
% 0.40/34.57 # Negative unit clauses : 108
% 0.40/34.57 # Non-unit-clauses : 1726
% 0.40/34.57 # Current number of unprocessed clauses: 107624
% 0.40/34.57 # ...number of literals in the above : 233498
% 0.40/34.57 # Current number of archived formulas : 0
% 0.40/34.57 # Current number of archived clauses : 154
% 0.40/34.57 # Clause-clause subsumption calls (NU) : 434551
% 0.40/34.57 # Rec. Clause-clause subsumption calls : 277829
% 0.40/34.57 # Non-unit clause-clause subsumptions : 7338
% 0.40/34.57 # Unit Clause-clause subsumption calls : 63545
% 0.40/34.57 # Rewrite failures with RHS unbound : 1885
% 0.40/34.57 # BW rewrite match attempts : 5343
% 0.40/34.57 # BW rewrite match successes : 227
% 0.40/34.57 # Condensation attempts : 0
% 0.40/34.57 # Condensation successes : 0
% 0.40/34.57 # Termbank termtop insertions : 17918911
% 0.40/34.57
% 0.40/34.57 # -------------------------------------------------
% 0.40/34.57 # User time : 10.771 s
% 0.40/34.57 # System time : 0.115 s
% 0.40/34.57 # Total time : 10.886 s
% 0.40/34.57 # Maximum resident set size: 141080 pages
% 0.40/46.43 eprover: CPU time limit exceeded, terminating
% 0.40/46.44 eprover: CPU time limit exceeded, terminating
% 0.40/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45 eprover: No such file or directory
% 0.40/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45 eprover: No such file or directory
% 0.40/46.45 eprover: CPU time limit exceeded, terminating
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
%------------------------------------------------------------------------------