TSTP Solution File: SET951+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 14:36:25 EDT 2023
% Result : Theorem 96.84s 97.06s
% Output : CNFRefutation 96.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 87 ( 13 unt; 20 typ; 0 def)
% Number of atoms : 208 ( 68 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 256 ( 115 ~; 112 |; 24 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 13 >; 19 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 228 ( 24 sgn; 60 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_24,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_25,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_26,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_27,type,
singleton: $i > $i ).
tff(decl_28,type,
empty: $i > $o ).
tff(decl_29,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
esk7_0: $i ).
tff(decl_36,type,
esk8_0: $i ).
tff(decl_37,type,
esk9_0: $i ).
tff(decl_38,type,
esk10_0: $i ).
tff(decl_39,type,
esk11_0: $i ).
tff(decl_40,type,
esk12_0: $i ).
tff(decl_41,type,
esk13_0: $i ).
fof(t33_zfmisc_1,axiom,
! [X1,X2,X3,X4] :
( ordered_pair(X1,X2) = ordered_pair(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_zfmisc_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(d2_zfmisc_1,axiom,
! [X1,X2,X3] :
( X3 = cartesian_product2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5,X6] :
( in(X5,X1)
& in(X6,X2)
& X4 = ordered_pair(X5,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(t104_zfmisc_1,conjecture,
! [X1,X2,X3,X4,X5] :
~ ( in(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)))
& ! [X6,X7] :
~ ( X1 = ordered_pair(X6,X7)
& in(X6,set_intersection2(X2,X4))
& in(X7,set_intersection2(X3,X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_zfmisc_1) ).
fof(c_0_6,plain,
! [X54,X55,X56,X57] :
( ( X54 = X56
| ordered_pair(X54,X55) != ordered_pair(X56,X57) )
& ( X55 = X57
| ordered_pair(X54,X55) != ordered_pair(X56,X57) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_zfmisc_1])])]) ).
fof(c_0_7,plain,
! [X40,X41] : ordered_pair(X40,X41) = unordered_pair(unordered_pair(X40,X41),singleton(X40)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_8,plain,
! [X14,X15,X16,X17,X20,X21,X22,X23,X24,X25,X27,X28] :
( ( in(esk1_4(X14,X15,X16,X17),X14)
| ~ in(X17,X16)
| X16 != cartesian_product2(X14,X15) )
& ( in(esk2_4(X14,X15,X16,X17),X15)
| ~ in(X17,X16)
| X16 != cartesian_product2(X14,X15) )
& ( X17 = ordered_pair(esk1_4(X14,X15,X16,X17),esk2_4(X14,X15,X16,X17))
| ~ in(X17,X16)
| X16 != cartesian_product2(X14,X15) )
& ( ~ in(X21,X14)
| ~ in(X22,X15)
| X20 != ordered_pair(X21,X22)
| in(X20,X16)
| X16 != cartesian_product2(X14,X15) )
& ( ~ in(esk3_3(X23,X24,X25),X25)
| ~ in(X27,X23)
| ~ in(X28,X24)
| esk3_3(X23,X24,X25) != ordered_pair(X27,X28)
| X25 = cartesian_product2(X23,X24) )
& ( in(esk4_3(X23,X24,X25),X23)
| in(esk3_3(X23,X24,X25),X25)
| X25 = cartesian_product2(X23,X24) )
& ( in(esk5_3(X23,X24,X25),X24)
| in(esk3_3(X23,X24,X25),X25)
| X25 = cartesian_product2(X23,X24) )
& ( esk3_3(X23,X24,X25) = ordered_pair(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25))
| in(esk3_3(X23,X24,X25),X25)
| X25 = cartesian_product2(X23,X24) ) ),
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)],[d2_zfmisc_1])])])])])]) ).
cnf(c_0_9,plain,
( X1 = X2
| ordered_pair(X3,X1) != ordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X10,X11] : unordered_pair(X10,X11) = unordered_pair(X11,X10),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_12,plain,
( X1 = ordered_pair(esk1_4(X2,X3,X4,X1),esk2_4(X2,X3,X4,X1))
| ~ in(X1,X4)
| X4 != cartesian_product2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(unordered_pair(X4,X2),singleton(X4)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).
cnf(c_0_14,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( X1 = unordered_pair(unordered_pair(esk1_4(X2,X3,X4,X1),esk2_4(X2,X3,X4,X1)),singleton(esk1_4(X2,X3,X4,X1)))
| X4 != cartesian_product2(X2,X3)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_16,plain,
( in(esk2_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(singleton(X4),unordered_pair(X4,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3))) = X3
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_14])]) ).
cnf(c_0_19,plain,
( X1 = X2
| ordered_pair(X1,X3) != ordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( in(X5,X6)
| ~ in(X1,X2)
| ~ in(X3,X4)
| X5 != ordered_pair(X1,X3)
| X6 != cartesian_product2(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( esk2_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(unordered_pair(X3,X4),singleton(X3))) = X4
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18])]) ).
fof(c_0_23,plain,
! [X31,X32,X33,X34,X35,X36,X37,X38] :
( ( in(X34,X31)
| ~ in(X34,X33)
| X33 != set_intersection2(X31,X32) )
& ( in(X34,X32)
| ~ in(X34,X33)
| X33 != set_intersection2(X31,X32) )
& ( ~ in(X35,X31)
| ~ in(X35,X32)
| in(X35,X33)
| X33 != set_intersection2(X31,X32) )
& ( ~ in(esk6_3(X36,X37,X38),X38)
| ~ in(esk6_3(X36,X37,X38),X36)
| ~ in(esk6_3(X36,X37,X38),X37)
| X38 = set_intersection2(X36,X37) )
& ( in(esk6_3(X36,X37,X38),X36)
| in(esk6_3(X36,X37,X38),X38)
| X38 = set_intersection2(X36,X37) )
& ( in(esk6_3(X36,X37,X38),X37)
| in(esk6_3(X36,X37,X38),X38)
| X38 = set_intersection2(X36,X37) ) ),
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)],[d3_xboole_0])])])])])]) ).
fof(c_0_24,negated_conjecture,
~ ! [X1,X2,X3,X4,X5] :
~ ( in(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)))
& ! [X6,X7] :
~ ( X1 = ordered_pair(X6,X7)
& in(X6,set_intersection2(X2,X4))
& in(X7,set_intersection2(X3,X5)) ) ),
inference(assume_negation,[status(cth)],[t104_zfmisc_1]) ).
cnf(c_0_25,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(unordered_pair(X2,X4),singleton(X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_10]),c_0_10]) ).
cnf(c_0_26,plain,
( in(X5,X6)
| X6 != cartesian_product2(X2,X4)
| X5 != unordered_pair(unordered_pair(X1,X3),singleton(X1))
| ~ in(X3,X4)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_27,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,negated_conjecture,
! [X52,X53] :
( in(esk9_0,set_intersection2(cartesian_product2(esk10_0,esk11_0),cartesian_product2(esk12_0,esk13_0)))
& ( esk9_0 != ordered_pair(X52,X53)
| ~ in(X52,set_intersection2(esk10_0,esk12_0))
| ~ in(X53,set_intersection2(esk11_0,esk13_0)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_30,plain,
( in(esk1_4(X1,X2,X3,X4),X1)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(singleton(X2),unordered_pair(X2,X4)) ),
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_32,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]) ).
cnf(c_0_33,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_14]) ).
cnf(c_0_34,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
in(esk9_0,set_intersection2(cartesian_product2(esk10_0,esk11_0),cartesian_product2(esk12_0,esk13_0))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( esk1_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(unordered_pair(X3,X4),singleton(X3))) = X3
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_18])]) ).
cnf(c_0_38,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_14]) ).
cnf(c_0_39,plain,
( in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X4)
| ~ in(X3,cartesian_product2(X5,X4))
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_33,c_0_18]) ).
cnf(c_0_40,negated_conjecture,
in(esk9_0,cartesian_product2(esk12_0,esk13_0)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( esk9_0 != ordered_pair(X1,X2)
| ~ in(X1,set_intersection2(esk10_0,esk12_0))
| ~ in(X2,set_intersection2(esk11_0,esk13_0)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_43,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
( in(X1,cartesian_product2(X2,X3))
| ~ in(esk2_4(X4,X5,cartesian_product2(X4,X5),X1),X3)
| ~ in(esk1_4(X4,X5,cartesian_product2(X4,X5),X1),X2)
| ~ in(X1,cartesian_product2(X4,X5)) ),
inference(spm,[status(thm)],[c_0_38,c_0_18]) ).
cnf(c_0_45,negated_conjecture,
( in(esk2_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk13_0)
| ~ in(esk9_0,cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( esk9_0 != unordered_pair(unordered_pair(X1,X2),singleton(X1))
| ~ in(X2,set_intersection2(esk11_0,esk13_0))
| ~ in(X1,set_intersection2(esk10_0,esk12_0)) ),
inference(rw,[status(thm)],[c_0_41,c_0_10]) ).
cnf(c_0_47,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_49,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_43,c_0_14]) ).
cnf(c_0_50,negated_conjecture,
( in(esk9_0,cartesian_product2(X1,esk13_0))
| ~ in(esk1_4(X2,X3,cartesian_product2(X2,X3),esk9_0),X1)
| ~ in(esk9_0,cartesian_product2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( unordered_pair(singleton(X1),unordered_pair(X1,X2)) != esk9_0
| ~ in(X2,set_intersection2(esk11_0,esk13_0))
| ~ in(X1,set_intersection2(esk10_0,esk12_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_14]) ).
cnf(c_0_52,negated_conjecture,
in(esk9_0,cartesian_product2(esk10_0,esk11_0)),
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_53,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X4)
| ~ in(X3,cartesian_product2(X4,X5))
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_49,c_0_18]) ).
cnf(c_0_55,negated_conjecture,
( in(esk9_0,cartesian_product2(X1,esk13_0))
| ~ in(esk9_0,cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_36]) ).
cnf(c_0_56,negated_conjecture,
( ~ in(esk2_4(X1,X2,cartesian_product2(X1,X2),esk9_0),set_intersection2(esk11_0,esk13_0))
| ~ in(esk1_4(X1,X2,cartesian_product2(X1,X2),esk9_0),set_intersection2(esk10_0,esk12_0))
| ~ in(esk9_0,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_18])]) ).
cnf(c_0_57,negated_conjecture,
( in(esk2_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk11_0)
| ~ in(esk9_0,cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_39,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( in(esk9_0,cartesian_product2(set_intersection2(X1,X2),esk13_0))
| ~ in(esk1_4(X3,X4,cartesian_product2(X3,X4),esk9_0),X2)
| ~ in(esk1_4(X3,X4,cartesian_product2(X3,X4),esk9_0),X1)
| ~ in(esk9_0,cartesian_product2(X3,X4)) ),
inference(spm,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( in(esk1_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk12_0)
| ~ in(esk9_0,cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_54,c_0_40]) ).
cnf(c_0_60,negated_conjecture,
in(esk9_0,cartesian_product2(esk10_0,esk13_0)),
inference(spm,[status(thm)],[c_0_55,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( ~ in(esk1_4(X1,X2,cartesian_product2(X1,X2),esk9_0),set_intersection2(esk10_0,esk12_0))
| ~ in(esk9_0,cartesian_product2(X1,X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_53]),c_0_57]),c_0_45]) ).
cnf(c_0_62,negated_conjecture,
( in(esk9_0,cartesian_product2(set_intersection2(X1,esk12_0),esk13_0))
| ~ in(esk1_4(X2,X3,cartesian_product2(X2,X3),esk9_0),X1)
| ~ in(esk9_0,cartesian_product2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( in(esk1_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk10_0)
| ~ in(esk9_0,cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_54,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
~ in(esk9_0,cartesian_product2(set_intersection2(esk10_0,esk12_0),X1)),
inference(spm,[status(thm)],[c_0_61,c_0_36]) ).
cnf(c_0_65,negated_conjecture,
~ in(esk9_0,cartesian_product2(X1,X2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_40,c_0_65]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 09:46:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 96.84/97.06 % Version : CSE_E---1.5
% 96.84/97.06 % Problem : theBenchmark.p
% 96.84/97.06 % Proof found
% 96.84/97.06 % SZS status Theorem for theBenchmark.p
% 96.84/97.06 % SZS output start Proof
% See solution above
% 96.84/97.07 % Total time : 96.327000 s
% 96.84/97.07 % SZS output end Proof
% 96.84/97.07 % Total time : 96.333000 s
%------------------------------------------------------------------------------