%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU138+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 05:10:44 PM UTC 2026
% Result : Theorem 73.68s 44.50s
% Output : CNFRefutation 73.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 91 ( 37 unt; 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 predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 250 ( 31 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(t4_boole,axiom,
! [X1] : set_difference(empty_set,X1) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_boole) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox2/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/sandbox2/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,
! [X59,X60,X61,X62,X63,X64,X65,X66] :
( ( in(X62,X59)
| ~ in(X62,X61)
| X61 != set_difference(X59,X60) )
& ( ~ in(X62,X60)
| ~ in(X62,X61)
| X61 != set_difference(X59,X60) )
& ( ~ in(X63,X59)
| in(X63,X60)
| in(X63,X61)
| X61 != set_difference(X59,X60) )
& ( ~ in(esk3_3(X64,X65,X66),X66)
| ~ in(esk3_3(X64,X65,X66),X64)
| in(esk3_3(X64,X65,X66),X65)
| X66 = set_difference(X64,X65) )
& ( in(esk3_3(X64,X65,X66),X64)
| in(esk3_3(X64,X65,X66),X66)
| X66 = set_difference(X64,X65) )
& ( ~ in(esk3_3(X64,X65,X66),X65)
| in(esk3_3(X64,X65,X66),X66)
| X66 = set_difference(X64,X65) ) ),
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,
! [X50,X51,X52,X53,X54,X55,X56,X57] :
( ( in(X53,X50)
| ~ in(X53,X52)
| X52 != set_intersection2(X50,X51) )
& ( in(X53,X51)
| ~ in(X53,X52)
| X52 != set_intersection2(X50,X51) )
& ( ~ in(X54,X50)
| ~ in(X54,X51)
| in(X54,X52)
| X52 != set_intersection2(X50,X51) )
& ( ~ in(esk2_3(X55,X56,X57),X57)
| ~ in(esk2_3(X55,X56,X57),X55)
| ~ in(esk2_3(X55,X56,X57),X56)
| X57 = set_intersection2(X55,X56) )
& ( in(esk2_3(X55,X56,X57),X55)
| in(esk2_3(X55,X56,X57),X57)
| X57 = set_intersection2(X55,X56) )
& ( in(esk2_3(X55,X56,X57),X56)
| in(esk2_3(X55,X56,X57),X57)
| X57 = set_intersection2(X55,X56) ) ),
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,
! [X76] : set_difference(empty_set,X76) = 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,
! [X40,X41] : set_intersection2(X40,X41) = set_intersection2(X41,X40),
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,
! [X44,X45,X46,X47,X48] :
( ( ~ subset(X44,X45)
| ~ in(X46,X44)
| in(X46,X45) )
& ( in(esk1_2(X47,X48),X47)
| subset(X47,X48) )
& ( ~ in(esk1_2(X47,X48),X48)
| subset(X47,X48) ) ),
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,
! [X42,X43] :
( ( subset(X42,X43)
| X42 != X43 )
& ( subset(X43,X42)
| X42 != X43 )
& ( ~ subset(X42,X43)
| ~ subset(X43,X42)
| X42 = X43 ) ),
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,
! [X78,X79] :
( ~ in(X78,X79)
| ~ empty(X79) ),
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,
! [X68] : set_intersection2(X68,X68) = X68,
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
% 0.05/0.11 % Problem : SEU138+1 : TPTP v9.2.1. Released v3.3.0.
% 0.05/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.31 % Computer : n024.cluster.edu
% 0.06/0.31 % Model : x86_64 x86_64
% 0.06/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.31 % Memory : 8042.1875MB
% 0.06/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.31 % CPULimit : 300
% 0.06/0.31 % WCLimit : 300
% 0.06/0.31 % DateTime : Mon May 4 21:44:27 EDT 2026
% 0.06/0.32 % CPUTime :
% 0.06/0.32 % start to proof: theBenchmark
% 73.68/44.50 % Version : CSE_E---1.7
% 73.68/44.50 % Problem : theBenchmark.p
% 73.68/44.50 % SZS status Theorem for theBenchmark.p
% 73.68/44.50 % SZS output start CNFRefutation
% See solution above
% 73.98/44.82 % Total time : 30.392s
%------------------------------------------------------------------------------