TSTP Solution File: SET698+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET698+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 14:35:16 EDT 2023
% Result : Theorem 274.04s 274.82s
% Output : CNFRefutation 274.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 100 ( 8 unt; 18 typ; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 242 ( 106 ~; 108 |; 17 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 14 >; 10 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 84 ( 4 sgn; 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
subset: ( $i * $i ) > $o ).
tff(decl_23,type,
member: ( $i * $i ) > $o ).
tff(decl_24,type,
equal_set: ( $i * $i ) > $o ).
tff(decl_25,type,
power_set: $i > $i ).
tff(decl_26,type,
intersection: ( $i * $i ) > $i ).
tff(decl_27,type,
union: ( $i * $i ) > $i ).
tff(decl_28,type,
empty_set: $i ).
tff(decl_29,type,
difference: ( $i * $i ) > $i ).
tff(decl_30,type,
singleton: $i > $i ).
tff(decl_31,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_32,type,
sum: $i > $i ).
tff(decl_33,type,
product: $i > $i ).
tff(decl_34,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk4_0: $i ).
tff(decl_38,type,
esk5_0: $i ).
tff(decl_39,type,
esk6_0: $i ).
fof(thI32,conjecture,
! [X1,X2,X4] :
( ( subset(X1,X4)
& subset(X2,X4) )
=> ( subset(X1,X2)
<=> equal_set(union(difference(X4,X1),X2),X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI32) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(power_set,axiom,
! [X3,X1] :
( member(X3,power_set(X1))
<=> subset(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',power_set) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(difference,axiom,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).
fof(union,axiom,
! [X3,X1,X2] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',union) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X4] :
( ( subset(X1,X4)
& subset(X2,X4) )
=> ( subset(X1,X2)
<=> equal_set(union(difference(X4,X1),X2),X4) ) ),
inference(assume_negation,[status(cth)],[thI32]) ).
fof(c_0_7,negated_conjecture,
( subset(esk4_0,esk6_0)
& subset(esk5_0,esk6_0)
& ( ~ subset(esk4_0,esk5_0)
| ~ equal_set(union(difference(esk6_0,esk4_0),esk5_0),esk6_0) )
& ( subset(esk4_0,esk5_0)
| equal_set(union(difference(esk6_0,esk4_0),esk5_0),esk6_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,plain,
! [X12,X13] :
( ( subset(X12,X13)
| ~ equal_set(X12,X13) )
& ( subset(X13,X12)
| ~ equal_set(X12,X13) )
& ( ~ subset(X12,X13)
| ~ subset(X13,X12)
| equal_set(X12,X13) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])]) ).
cnf(c_0_9,negated_conjecture,
( ~ subset(esk4_0,esk5_0)
| ~ equal_set(union(difference(esk6_0,esk4_0),esk5_0),esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( equal_set(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X14,X15] :
( ( ~ member(X14,power_set(X15))
| subset(X14,X15) )
& ( ~ subset(X14,X15)
| member(X14,power_set(X15)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])]) ).
cnf(c_0_12,negated_conjecture,
( ~ subset(esk6_0,union(difference(esk6_0,esk4_0),esk5_0))
| ~ subset(union(difference(esk6_0,esk4_0),esk5_0),esk6_0)
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( subset(esk4_0,esk5_0)
| equal_set(union(difference(esk6_0,esk4_0),esk5_0),esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ member(union(difference(esk6_0,esk4_0),esk5_0),power_set(esk6_0))
| ~ subset(esk6_0,union(difference(esk6_0,esk4_0),esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_18,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ subset(X6,X7)
| ~ member(X8,X6)
| member(X8,X7) )
& ( member(esk1_2(X9,X10),X9)
| subset(X9,X10) )
& ( ~ member(esk1_2(X9,X10),X10)
| subset(X9,X10) ) ),
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)],[subset])])])])])]) ).
cnf(c_0_19,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
( subset(union(difference(esk6_0,esk4_0),esk5_0),esk6_0)
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( subset(esk6_0,union(difference(esk6_0,esk4_0),esk5_0))
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( ~ member(union(difference(esk6_0,esk4_0),esk5_0),power_set(esk6_0))
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0)))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_23,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( member(union(difference(esk6_0,esk4_0),esk5_0),power_set(esk6_0))
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0)))
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_26,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
subset(esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,negated_conjecture,
( member(esk1_2(esk4_0,esk5_0),esk4_0)
| ~ member(union(difference(esk6_0,esk4_0),esk5_0),power_set(esk6_0))
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( member(union(difference(esk6_0,esk4_0),esk5_0),power_set(esk6_0))
| member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0)))
| member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( member(X1,union(difference(esk6_0,esk4_0),esk5_0))
| subset(esk4_0,esk5_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_21]) ).
cnf(c_0_32,negated_conjecture,
( member(X1,esk6_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( member(esk1_2(esk4_0,esk5_0),esk4_0)
| member(esk4_0,power_set(esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
fof(c_0_34,plain,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[difference]) ).
fof(c_0_35,plain,
! [X19,X20,X21] :
( ( ~ member(X19,union(X20,X21))
| member(X19,X20)
| member(X19,X21) )
& ( ~ member(X19,X20)
| member(X19,union(X20,X21)) )
& ( ~ member(X19,X21)
| member(X19,union(X20,X21)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])]) ).
cnf(c_0_36,negated_conjecture,
( member(X1,union(difference(esk6_0,esk4_0),esk5_0))
| member(esk4_0,power_set(esk5_0))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( member(esk1_2(esk4_0,esk5_0),esk6_0)
| member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),union(difference(esk6_0,esk4_0),esk5_0))
| ~ subset(esk6_0,union(difference(esk6_0,esk4_0),esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
fof(c_0_40,plain,
! [X23,X24,X25] :
( ( member(X23,X25)
| ~ member(X23,difference(X25,X24)) )
& ( ~ member(X23,X24)
| ~ member(X23,difference(X25,X24)) )
& ( ~ member(X23,X25)
| member(X23,X24)
| member(X23,difference(X25,X24)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
cnf(c_0_41,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( member(esk1_2(esk4_0,esk5_0),union(difference(esk6_0,esk4_0),esk5_0))
| member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( member(X1,power_set(X2))
| ~ member(esk1_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),union(difference(esk6_0,esk4_0),esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
cnf(c_0_45,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( member(esk1_2(esk4_0,esk5_0),difference(esk6_0,esk4_0))
| member(esk4_0,power_set(esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_47,plain,
( member(esk1_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_48,negated_conjecture,
( ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ subset(esk6_0,union(difference(esk6_0,esk4_0),esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_38]) ).
cnf(c_0_49,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_13]) ).
cnf(c_0_50,negated_conjecture,
member(esk4_0,power_set(esk5_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_38]) ).
cnf(c_0_52,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),union(difference(esk6_0,esk4_0),esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).
cnf(c_0_53,negated_conjecture,
( ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_13]) ).
cnf(c_0_54,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_55,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),difference(esk6_0,esk4_0))
| member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk5_0)
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),union(difference(esk6_0,esk4_0),esk5_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
subset(esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_57,negated_conjecture,
( ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),difference(esk6_0,esk4_0))
| ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_59,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0)))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_13]) ).
cnf(c_0_60,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_61,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),difference(esk6_0,esk4_0))
| member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk5_0)
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),difference(esk6_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( member(X1,esk6_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),difference(esk6_0,esk4_0))
| ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_50])]) ).
cnf(c_0_64,negated_conjecture,
( ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),esk5_0)
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0)))
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_13]) ).
cnf(c_0_66,negated_conjecture,
( ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0)))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_13]) ).
cnf(c_0_67,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_13]) ).
cnf(c_0_68,negated_conjecture,
~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),difference(esk6_0,esk4_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_69,plain,
( member(X1,X3)
| member(X1,difference(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_70,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),difference(esk6_0,esk4_0))
| member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk5_0)
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_58]) ).
cnf(c_0_71,negated_conjecture,
( ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_50])]) ).
cnf(c_0_72,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),union(difference(esk6_0,esk4_0),esk5_0))
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_50])]) ).
cnf(c_0_73,negated_conjecture,
( ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0)))
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_66,c_0_13]) ).
cnf(c_0_74,negated_conjecture,
( member(X1,esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_50]) ).
cnf(c_0_75,negated_conjecture,
( member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),esk4_0)
| ~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_70]),c_0_62]),c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),difference(esk6_0,esk4_0))
| member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk5_0)
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( ~ member(esk1_2(union(difference(esk6_0,esk4_0),esk5_0),esk6_0),esk6_0)
| ~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_50])]) ).
cnf(c_0_79,negated_conjecture,
~ member(esk1_2(esk6_0,union(difference(esk6_0,esk4_0),esk5_0)),esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_80,negated_conjecture,
~ member(esk6_0,power_set(union(difference(esk6_0,esk4_0),esk5_0))),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_77]),c_0_62]),c_0_78]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_47]),c_0_80]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET698+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 11:20:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 274.04/274.82 % Version : CSE_E---1.5
% 274.04/274.82 % Problem : theBenchmark.p
% 274.04/274.82 % Proof found
% 274.04/274.82 % SZS status Theorem for theBenchmark.p
% 274.04/274.82 % SZS output start Proof
% See solution above
% 274.04/274.82 % Total time : 273.372000 s
% 274.04/274.82 % SZS output end Proof
% 274.04/274.82 % Total time : 273.385000 s
%------------------------------------------------------------------------------