TSTP Solution File: SET159+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET159+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 : n014.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 14:33:23 EDT 2023
% Result : Theorem 1.06s 1.13s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 92 ( 14 unt; 18 typ; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 183 ( 96 ~; 74 |; 8 &)
% ( 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 : 58 ( 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(thI09,conjecture,
! [X1,X2,X6] : equal_set(union(union(X1,X2),X6),union(X1,union(X2,X6))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI09) ).
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(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(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(union(union(X1,X2),X6),union(X1,union(X2,X6))),
inference(assume_negation,[status(cth)],[thI09]) ).
fof(c_0_6,negated_conjecture,
~ equal_set(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(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(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(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(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
| ~ subset(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0)))
| ~ subset(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_14,plain,
! [X20,X21,X22] :
( ( ~ member(X20,union(X21,X22))
| member(X20,X21)
| member(X20,X22) )
& ( ~ member(X20,X21)
| member(X20,union(X21,X22)) )
& ( ~ member(X20,X22)
| member(X20,union(X21,X22)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])]) ).
cnf(c_0_15,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_16,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,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_21,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_28,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0))
| ~ subset(union(esk4_0,union(esk5_0,esk6_0)),union(union(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(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
| member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0)
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_33,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_34,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_36,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_12]) ).
cnf(c_0_37,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_16]),c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_39,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0)
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_40,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_19]) ).
cnf(c_0_41,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_42,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_43,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_44,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0))
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_23]) ).
cnf(c_0_46,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_16]) ).
cnf(c_0_47,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_36]) ).
cnf(c_0_48,negated_conjecture,
~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_49,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_19]),c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_16]) ).
cnf(c_0_51,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0)
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_52,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_41]),c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_54,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_55,plain,
( member(esk1_2(X1,X2),X1)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_17]) ).
cnf(c_0_56,plain,
( member(esk1_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_17]) ).
cnf(c_0_57,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_45]),c_0_46]) ).
cnf(c_0_58,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_59,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0)
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_60,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_19]),c_0_48]) ).
cnf(c_0_61,negated_conjecture,
~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_62,negated_conjecture,
~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_52]),c_0_53]),c_0_54]) ).
cnf(c_0_63,plain,
( member(esk1_2(X1,X2),X3)
| member(esk1_2(X1,X3),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_65,negated_conjecture,
~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_60]),c_0_61]),c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
| member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_63]),c_0_48]),c_0_64]) ).
cnf(c_0_67,negated_conjecture,
~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0),
inference(spm,[status(thm)],[c_0_65,c_0_19]) ).
cnf(c_0_68,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_66]),c_0_67]) ).
cnf(c_0_69,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_16]),c_0_48]) ).
cnf(c_0_70,negated_conjecture,
member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_68]),c_0_61]),c_0_62]) ).
cnf(c_0_71,negated_conjecture,
~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_69]),c_0_61]),c_0_62]) ).
cnf(c_0_72,negated_conjecture,
~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0),
inference(spm,[status(thm)],[c_0_65,c_0_16]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_70]),c_0_71]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:27:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 1.06/1.13 % Version : CSE_E---1.5
% 1.06/1.13 % Problem : theBenchmark.p
% 1.06/1.13 % Proof found
% 1.06/1.13 % SZS status Theorem for theBenchmark.p
% 1.06/1.13 % SZS output start Proof
% See solution above
% 1.10/1.14 % Total time : 0.526000 s
% 1.10/1.14 % SZS output end Proof
% 1.10/1.14 % Total time : 0.530000 s
%------------------------------------------------------------------------------