TSTP Solution File: SET143+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET143+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 : n012.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 14:33:17 EDT 2023
% Result : Theorem 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 83 ( 13 unt; 18 typ; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 130 ( 54 ~; 62 |; 9 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 52 ( 2 sgn; 28 !; 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(thI08,conjecture,
! [X1,X2,X6] : equal_set(intersection(intersection(X1,X2),X6),intersection(X1,intersection(X2,X6))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI08) ).
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(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(intersection,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).
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(c_0_5,negated_conjecture,
~ ! [X1,X2,X6] : equal_set(intersection(intersection(X1,X2),X6),intersection(X1,intersection(X2,X6))),
inference(assume_negation,[status(cth)],[thI08]) ).
fof(c_0_6,negated_conjecture,
~ equal_set(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_7,plain,
! [X13,X14] :
( ( subset(X13,X14)
| ~ equal_set(X13,X14) )
& ( subset(X14,X13)
| ~ equal_set(X13,X14) )
& ( ~ subset(X13,X14)
| ~ subset(X14,X13)
| equal_set(X13,X14) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])]) ).
cnf(c_0_8,negated_conjecture,
~ equal_set(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( equal_set(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ subset(X7,X8)
| ~ member(X9,X7)
| member(X9,X8) )
& ( member(esk1_2(X10,X11),X10)
| subset(X10,X11) )
& ( ~ member(esk1_2(X10,X11),X11)
| subset(X10,X11) ) ),
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_11,negated_conjecture,
( ~ subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ subset(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X17,X18,X19] :
( ( member(X17,X18)
| ~ member(X17,intersection(X18,X19)) )
& ( member(X17,X19)
| ~ member(X17,intersection(X18,X19)) )
& ( ~ member(X17,X18)
| ~ member(X17,X19)
| member(X17,intersection(X18,X19)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])]) ).
cnf(c_0_14,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_17,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
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,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_23,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
fof(c_0_28,plain,
! [X15,X16] :
( ( ~ member(X15,power_set(X16))
| subset(X15,X16) )
& ( ~ subset(X15,X16)
| member(X15,power_set(X16)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])]) ).
cnf(c_0_29,negated_conjecture,
( ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| ~ subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_30,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_25]),c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0)
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_34,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_12]) ).
cnf(c_0_36,negated_conjecture,
member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_31]),c_0_32]) ).
cnf(c_0_37,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ member(intersection(esk4_0,intersection(esk5_0,esk6_0)),power_set(intersection(intersection(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_14,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_36])]) ).
cnf(c_0_40,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_25]),c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0)
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_42,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_33]) ).
cnf(c_0_43,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_44,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| ~ member(intersection(esk4_0,intersection(esk5_0,esk6_0)),power_set(intersection(intersection(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_38]) ).
cnf(c_0_45,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_23]),c_0_41]),c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(intersection(esk4_0,intersection(esk5_0,esk6_0)),power_set(intersection(intersection(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_34]) ).
cnf(c_0_50,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| ~ member(intersection(esk4_0,intersection(esk5_0,esk6_0)),power_set(intersection(intersection(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_44]) ).
cnf(c_0_51,plain,
( member(X1,power_set(X2))
| ~ member(esk1_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_17]) ).
cnf(c_0_52,negated_conjecture,
member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_23]),c_0_47])]),c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(intersection(esk4_0,intersection(esk5_0,esk6_0)),power_set(intersection(intersection(esk4_0,esk5_0),esk6_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_23]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| ~ member(intersection(esk4_0,intersection(esk5_0,esk6_0)),power_set(intersection(intersection(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_18,c_0_44]) ).
cnf(c_0_55,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| ~ member(intersection(esk4_0,intersection(esk5_0,esk6_0)),power_set(intersection(intersection(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_18,c_0_38]) ).
cnf(c_0_56,plain,
( member(X1,power_set(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_51,c_0_23]) ).
cnf(c_0_57,negated_conjecture,
member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0),
inference(spm,[status(thm)],[c_0_18,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
~ member(intersection(esk4_0,intersection(esk5_0,esk6_0)),power_set(intersection(intersection(esk4_0,esk5_0),esk6_0))),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_23]),c_0_54]),c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0)
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_39]) ).
cnf(c_0_60,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_43]) ).
cnf(c_0_61,negated_conjecture,
~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_62,negated_conjecture,
member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0),
inference(spm,[status(thm)],[c_0_15,c_0_52]) ).
cnf(c_0_63,negated_conjecture,
member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_23]),c_0_47])]),c_0_60]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_23]),c_0_62]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET143+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 09:17:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.61 % Version : CSE_E---1.5
% 0.19/0.61 % Problem : theBenchmark.p
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark.p
% 0.19/0.61 % SZS output start Proof
% See solution above
% 0.19/0.62 % Total time : 0.044000 s
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time : 0.047000 s
%------------------------------------------------------------------------------