TSTP Solution File: SEU138+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU138+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 16:22:41 EDT 2023
% Result : Theorem 4.85s 4.98s
% Output : CNFRefutation 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 104 ( 37 unt; 13 typ; 0 def)
% Number of atoms : 216 ( 52 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 205 ( 80 ~; 97 |; 19 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 8 >; 9 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 250 ( 31 sgn; 57 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_24,type,
subset: ( $i * $i ) > $o ).
tff(decl_25,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_26,type,
empty_set: $i ).
tff(decl_27,type,
empty: $i > $o ).
tff(decl_28,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_29,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
esk4_0: $i ).
tff(decl_32,type,
esk5_0: $i ).
tff(decl_33,type,
esk6_0: $i ).
tff(decl_34,type,
esk7_0: $i ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
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(t4_boole,axiom,
! [X1] : set_difference(empty_set,X1) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(t48_xboole_1,conjecture,
! [X1,X2] : set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(c_0_10,plain,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).
fof(c_0_11,plain,
! [X26,X27,X28,X29,X30,X31,X32,X33] :
( ( in(X29,X26)
| ~ in(X29,X28)
| X28 != set_difference(X26,X27) )
& ( ~ in(X29,X27)
| ~ in(X29,X28)
| X28 != set_difference(X26,X27) )
& ( ~ in(X30,X26)
| in(X30,X27)
| in(X30,X28)
| X28 != set_difference(X26,X27) )
& ( ~ in(esk3_3(X31,X32,X33),X33)
| ~ in(esk3_3(X31,X32,X33),X31)
| in(esk3_3(X31,X32,X33),X32)
| X33 = set_difference(X31,X32) )
& ( in(esk3_3(X31,X32,X33),X31)
| in(esk3_3(X31,X32,X33),X33)
| X33 = set_difference(X31,X32) )
& ( ~ in(esk3_3(X31,X32,X33),X32)
| in(esk3_3(X31,X32,X33),X33)
| X33 = set_difference(X31,X32) ) ),
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)],[c_0_10])])])])])]) ).
fof(c_0_12,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24] :
( ( in(X20,X17)
| ~ in(X20,X19)
| X19 != set_intersection2(X17,X18) )
& ( in(X20,X18)
| ~ in(X20,X19)
| X19 != set_intersection2(X17,X18) )
& ( ~ in(X21,X17)
| ~ in(X21,X18)
| in(X21,X19)
| X19 != set_intersection2(X17,X18) )
& ( ~ in(esk2_3(X22,X23,X24),X24)
| ~ in(esk2_3(X22,X23,X24),X22)
| ~ in(esk2_3(X22,X23,X24),X23)
| X24 = set_intersection2(X22,X23) )
& ( in(esk2_3(X22,X23,X24),X22)
| in(esk2_3(X22,X23,X24),X24)
| X24 = set_intersection2(X22,X23) )
& ( in(esk2_3(X22,X23,X24),X23)
| in(esk2_3(X22,X23,X24),X24)
| X24 = set_intersection2(X22,X23) ) ),
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])])])])])]) ).
cnf(c_0_13,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X43] : set_difference(empty_set,X43) = empty_set,
inference(variable_rename,[status(thm)],[t4_boole]) ).
cnf(c_0_15,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X7,X8] : set_intersection2(X7,X8) = set_intersection2(X8,X7),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_17,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
set_difference(empty_set,X1) = empty_set,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X11,X12,X13,X14,X15] :
( ( ~ subset(X11,X12)
| ~ in(X13,X11)
| in(X13,X12) )
& ( in(esk1_2(X14,X15),X14)
| subset(X14,X15) )
& ( ~ in(esk1_2(X14,X15),X15)
| subset(X14,X15) ) ),
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_tarski])])])])])]) ).
cnf(c_0_20,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( ~ in(X1,empty_set)
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_25,plain,
! [X9,X10] :
( ( subset(X9,X10)
| X9 != X10 )
& ( subset(X10,X9)
| X9 != X10 )
& ( ~ subset(X9,X10)
| ~ subset(X10,X9)
| X9 = X10 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_26,plain,
( subset(empty_set,X1)
| ~ in(esk1_2(empty_set,X1),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( subset(set_intersection2(X1,X2),X3)
| in(esk1_2(set_intersection2(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_28,plain,
( subset(set_intersection2(X1,X2),X3)
| in(esk1_2(set_intersection2(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_23]) ).
fof(c_0_29,plain,
! [X45,X46] :
( ~ in(X45,X46)
| ~ empty(X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_30,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
subset(empty_set,X1),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_33,plain,
( subset(set_intersection2(set_difference(X1,X2),X3),X4)
| ~ in(esk1_2(set_intersection2(set_difference(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_34,plain,
( subset(set_intersection2(X1,set_intersection2(X2,X3)),X4)
| in(esk1_2(set_intersection2(X1,set_intersection2(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_35,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
subset(set_intersection2(set_difference(X1,X2),set_intersection2(X3,X2)),X4),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,plain,
( ~ empty(set_intersection2(X1,X2))
| ~ in(X3,X2)
| ~ in(X3,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
set_intersection2(set_difference(X1,X2),set_intersection2(X3,X2)) = empty_set,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_43,plain,
( in(esk3_3(X1,X2,X3),X1)
| in(esk3_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_44,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X4 != set_difference(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_45,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( ~ in(X1,set_intersection2(X2,X3))
| ~ in(X1,set_difference(X4,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_47,plain,
( set_difference(X1,X2) = X1
| in(esk3_3(X1,X2,X1),X1) ),
inference(ef,[status(thm)],[c_0_43]) ).
cnf(c_0_48,plain,
( in(esk3_3(X1,X2,X3),X2)
| X3 = set_difference(X1,X2)
| ~ in(esk3_3(X1,X2,X3),X3)
| ~ in(esk3_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_49,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_50,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( subset(set_difference(X1,X2),X3)
| in(esk1_2(set_difference(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_52,plain,
( set_difference(set_intersection2(X1,X2),X3) = set_intersection2(X1,X2)
| ~ in(esk3_3(set_intersection2(X1,X2),X3,set_intersection2(X1,X2)),set_difference(X4,X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( set_difference(X1,X2) = X1
| in(esk3_3(X1,X2,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_47]) ).
fof(c_0_54,plain,
! [X35] : set_intersection2(X35,X35) = X35,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
cnf(c_0_55,plain,
( subset(X1,set_difference(X2,X3))
| in(esk1_2(X1,set_difference(X2,X3)),X3)
| ~ in(esk1_2(X1,set_difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
( subset(set_difference(set_difference(X1,X2),X3),X4)
| in(esk1_2(set_difference(set_difference(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_51]) ).
cnf(c_0_57,plain,
set_difference(set_intersection2(X1,X2),set_difference(X3,X2)) = set_intersection2(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
set_intersection2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
( subset(set_difference(X1,X2),X3)
| ~ in(esk1_2(set_difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_60,plain,
( subset(set_difference(set_difference(X1,X2),X3),set_difference(X1,X4))
| in(esk1_2(set_difference(set_difference(X1,X2),X3),set_difference(X1,X4)),X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
set_difference(X1,set_difference(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
( subset(set_intersection2(X1,set_difference(X2,X3)),X4)
| ~ in(esk1_2(set_intersection2(X1,set_difference(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_28]) ).
cnf(c_0_63,plain,
( subset(X1,set_difference(X1,X2))
| in(esk1_2(X1,set_difference(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_23]) ).
cnf(c_0_64,plain,
( subset(set_difference(X1,set_intersection2(X2,X3)),X4)
| ~ in(esk1_2(set_difference(X1,set_intersection2(X2,X3)),X4),X3)
| ~ in(esk1_2(set_difference(X1,set_intersection2(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_36]) ).
cnf(c_0_65,plain,
subset(set_difference(set_difference(X1,X2),X3),set_difference(X1,X3)),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
set_difference(set_difference(X1,X2),set_intersection2(X3,X2)) = set_difference(X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_57]) ).
cnf(c_0_67,plain,
( subset(set_difference(set_intersection2(X1,X2),X3),X4)
| in(esk1_2(set_difference(set_intersection2(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_51]) ).
cnf(c_0_68,plain,
subset(set_intersection2(X1,set_difference(X2,X3)),set_difference(set_intersection2(X1,set_difference(X2,X3)),X3)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
subset(set_difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_49,c_0_51]) ).
cnf(c_0_70,plain,
( subset(set_difference(X1,set_difference(X2,X3)),X4)
| in(esk1_2(set_difference(X1,set_difference(X2,X3)),X4),X3)
| ~ in(esk1_2(set_difference(X1,set_difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_50]) ).
cnf(c_0_71,plain,
( subset(set_difference(X1,set_intersection2(X2,X1)),X3)
| ~ in(esk1_2(set_difference(X1,set_intersection2(X2,X1)),X3),X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_51]) ).
cnf(c_0_72,plain,
( subset(set_difference(X1,X2),set_difference(X1,X3))
| in(esk1_2(set_difference(X1,X2),set_difference(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_73,plain,
subset(set_difference(X1,X2),set_difference(X1,set_intersection2(X3,X2))),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,plain,
( subset(set_difference(set_intersection2(X1,X2),X3),set_difference(X2,X4))
| in(esk1_2(set_difference(set_intersection2(X1,X2),X3),set_difference(X2,X4)),X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_67]) ).
cnf(c_0_75,plain,
set_difference(set_intersection2(X1,set_difference(X2,X3)),X3) = set_intersection2(X1,set_difference(X2,X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_68]),c_0_69])]) ).
cnf(c_0_76,plain,
( subset(set_difference(X1,set_difference(X1,X2)),X3)
| in(esk1_2(set_difference(X1,set_difference(X1,X2)),X3),X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_51]) ).
cnf(c_0_77,plain,
subset(set_difference(X1,set_intersection2(X2,X1)),set_difference(X1,X2)),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,plain,
subset(set_difference(X1,X2),set_difference(X1,set_intersection2(X2,X3))),
inference(spm,[status(thm)],[c_0_73,c_0_21]) ).
cnf(c_0_79,plain,
subset(set_difference(set_intersection2(X1,X2),X3),set_difference(X2,X3)),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_80,plain,
set_difference(set_intersection2(set_difference(X1,X2),X3),X2) = set_intersection2(set_difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_75,c_0_21]) ).
fof(c_0_81,negated_conjecture,
~ ! [X1,X2] : set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(assume_negation,[status(cth)],[t48_xboole_1]) ).
cnf(c_0_82,plain,
subset(set_difference(X1,set_difference(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_49,c_0_76]) ).
cnf(c_0_83,plain,
set_difference(X1,set_intersection2(X2,X1)) = set_difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_77]),c_0_78])]) ).
cnf(c_0_84,plain,
subset(set_intersection2(set_difference(X1,X2),X3),set_difference(X3,X2)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_85,negated_conjecture,
set_difference(esk6_0,set_difference(esk6_0,esk7_0)) != set_intersection2(esk6_0,esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).
cnf(c_0_86,plain,
subset(set_difference(X1,set_difference(X1,X2)),set_intersection2(X2,X1)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,plain,
subset(set_intersection2(X1,X2),set_difference(X2,set_difference(X3,X1))),
inference(spm,[status(thm)],[c_0_84,c_0_61]) ).
cnf(c_0_88,negated_conjecture,
set_difference(esk6_0,set_difference(esk6_0,esk7_0)) != set_intersection2(esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_89,plain,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_86]),c_0_87])]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU138+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n020.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 : Wed Aug 23 15:16:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 4.85/4.98 % Version : CSE_E---1.5
% 4.85/4.98 % Problem : theBenchmark.p
% 4.85/4.98 % Proof found
% 4.85/4.98 % SZS status Theorem for theBenchmark.p
% 4.85/4.98 % SZS output start Proof
% See solution above
% 4.85/4.99 % Total time : 4.409000 s
% 4.85/4.99 % SZS output end Proof
% 4.85/4.99 % Total time : 4.412000 s
%------------------------------------------------------------------------------