%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU156+2 : 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 : n004.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 05:10:50 PM UTC 2026
% Result : Theorem 1.45s 1.79s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 10
% Syntax : Number of formulae : 85 ( 30 unt; 0 def)
% Number of atoms : 197 ( 165 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 166 ( 54 ~; 90 |; 12 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 114 ( 8 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t33_zfmisc_1,conjecture,
! [X1,X2,X3,X4] :
( ordered_pair(X1,X2) = ordered_pair(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(t69_enumset1,lemma,
! [X1] : unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(d2_tarski,axiom,
! [X1,X2,X3] :
( X3 = unordered_pair(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( X4 = X1
| X4 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(t8_zfmisc_1,lemma,
! [X1,X2,X3] :
( singleton(X1) = unordered_pair(X2,X3)
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
fof(t9_zfmisc_1,lemma,
! [X1,X2,X3] :
( singleton(X1) = unordered_pair(X2,X3)
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(l1_zfmisc_1,lemma,
! [X1] : singleton(X1) != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(c_0_10,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ordered_pair(X1,X2) = ordered_pair(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ),
inference(assume_negation,[status(cth)],[t33_zfmisc_1]) ).
fof(c_0_11,plain,
! [X254,X255] : ordered_pair(X254,X255) = unordered_pair(unordered_pair(X254,X255),singleton(X254)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_12,lemma,
! [X356] : unordered_pair(X356,X356) = singleton(X356),
inference(variable_rename,[status(thm)],[t69_enumset1]) ).
fof(c_0_13,negated_conjecture,
( ordered_pair(esk15_0,esk16_0) = ordered_pair(esk17_0,esk18_0)
& ( esk15_0 != esk17_0
| esk16_0 != esk18_0 ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_14,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,lemma,
unordered_pair(X1,X1) = singleton(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X201,X202,X203,X204,X205,X206,X207,X208] :
( ( ~ in(X204,X203)
| X204 = X201
| X204 = X202
| X203 != unordered_pair(X201,X202) )
& ( X205 != X201
| in(X205,X203)
| X203 != unordered_pair(X201,X202) )
& ( X205 != X202
| in(X205,X203)
| X203 != unordered_pair(X201,X202) )
& ( esk4_3(X206,X207,X208) != X206
| ~ in(esk4_3(X206,X207,X208),X208)
| X208 = unordered_pair(X206,X207) )
& ( esk4_3(X206,X207,X208) != X207
| ~ in(esk4_3(X206,X207,X208),X208)
| X208 = unordered_pair(X206,X207) )
& ( in(esk4_3(X206,X207,X208),X208)
| esk4_3(X206,X207,X208) = X206
| esk4_3(X206,X207,X208) = X207
| X208 = unordered_pair(X206,X207) ) ),
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_tarski])])])])])]) ).
cnf(c_0_17,negated_conjecture,
ordered_pair(esk15_0,esk16_0) = ordered_pair(esk17_0,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,plain,
! [X175,X176] : unordered_pair(X175,X176) = unordered_pair(X176,X175),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_20,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)) = unordered_pair(unordered_pair(esk15_0,esk16_0),unordered_pair(esk15_0,esk15_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_22,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( X1 = X3
| X1 = X4
| ~ in(X1,X2)
| X2 != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
in(X1,unordered_pair(X2,X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
unordered_pair(unordered_pair(esk15_0,esk15_0),unordered_pair(esk15_0,esk16_0)) = unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).
cnf(c_0_26,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X3,X2)) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
in(unordered_pair(esk15_0,esk16_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_29,lemma,
! [X371,X372,X373] :
( singleton(X371) != unordered_pair(X372,X373)
| X371 = X372 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_zfmisc_1])]) ).
cnf(c_0_30,plain,
in(X1,unordered_pair(X1,X2)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]) ).
cnf(c_0_31,negated_conjecture,
( unordered_pair(esk15_0,esk16_0) = unordered_pair(esk17_0,esk18_0)
| unordered_pair(esk15_0,esk16_0) = unordered_pair(esk17_0,esk17_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,lemma,
( X1 = X2
| singleton(X1) != unordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,lemma,
! [X374,X375,X376] :
( singleton(X374) != unordered_pair(X375,X376)
| X375 = X376 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_zfmisc_1])]) ).
cnf(c_0_34,negated_conjecture,
( unordered_pair(esk15_0,esk16_0) = unordered_pair(esk17_0,esk17_0)
| in(esk15_0,unordered_pair(esk17_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,lemma,
( X1 = X2
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
inference(rw,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_36,negated_conjecture,
( unordered_pair(esk15_0,esk16_0) = unordered_pair(esk17_0,esk17_0)
| in(esk16_0,unordered_pair(esk17_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_37,lemma,
( X2 = X3
| singleton(X1) != unordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( esk15_0 = esk18_0
| esk15_0 = esk17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( unordered_pair(esk15_0,esk16_0) = unordered_pair(esk17_0,esk17_0)
| esk16_0 = esk18_0
| esk16_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_36]) ).
cnf(c_0_40,lemma,
( X2 = X3
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
inference(rw,[status(thm)],[c_0_37,c_0_15]) ).
fof(c_0_41,plain,
! [X183,X184,X185,X186,X187,X188] :
( ( ~ in(X185,X184)
| X185 = X183
| X184 != singleton(X183) )
& ( X186 != X183
| in(X186,X184)
| X184 != singleton(X183) )
& ( ~ in(esk1_2(X187,X188),X188)
| esk1_2(X187,X188) != X187
| X188 = singleton(X187) )
& ( in(esk1_2(X187,X188),X188)
| esk1_2(X187,X188) = X187
| X188 = singleton(X187) ) ),
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)],[d1_tarski])])])])])]) ).
cnf(c_0_42,negated_conjecture,
( unordered_pair(unordered_pair(esk18_0,esk18_0),unordered_pair(esk18_0,esk16_0)) = unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))
| esk15_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( esk15_0 = esk17_0
| esk16_0 = esk17_0
| esk16_0 = esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_40]) ).
cnf(c_0_44,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_45,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_46,lemma,
! [X269] : singleton(X269) != empty_set,
inference(variable_rename,[status(thm)],[l1_zfmisc_1]) ).
cnf(c_0_47,negated_conjecture,
( unordered_pair(esk15_0,esk16_0) = unordered_pair(esk15_0,esk15_0)
| unordered_pair(X1,X1) != unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_48,negated_conjecture,
( unordered_pair(unordered_pair(esk18_0,esk18_0),unordered_pair(esk18_0,esk18_0)) = unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))
| esk16_0 = esk17_0
| esk15_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
( X1 = X3
| X2 != unordered_pair(X3,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[c_0_44,c_0_15]) ).
fof(c_0_50,plain,
! [X190,X191,X192] :
( ( X190 != empty_set
| ~ in(X191,X190) )
& ( in(esk2_1(X192),X192)
| X192 = empty_set ) ),
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_45])])])])]) ).
cnf(c_0_51,lemma,
singleton(X1) != empty_set,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( X1 = unordered_pair(esk15_0,esk15_0)
| unordered_pair(X1,X1) != unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_25]) ).
cnf(c_0_53,negated_conjecture,
( unordered_pair(esk15_0,esk16_0) = unordered_pair(esk15_0,esk15_0)
| esk15_0 = esk17_0
| esk16_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( esk15_0 = esk17_0
| esk18_0 != esk17_0 ),
inference(ef,[status(thm)],[c_0_38]) ).
cnf(c_0_55,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_56,plain,
( in(esk2_1(X1),X1)
| X1 = empty_set ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,lemma,
unordered_pair(X1,X1) != empty_set,
inference(rw,[status(thm)],[c_0_51,c_0_15]) ).
cnf(c_0_58,negated_conjecture,
( unordered_pair(esk15_0,esk15_0) = unordered_pair(esk18_0,esk18_0)
| esk15_0 = esk17_0
| esk16_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_59,negated_conjecture,
( unordered_pair(esk15_0,esk15_0) = unordered_pair(esk18_0,esk15_0)
| esk16_0 = esk17_0
| esk15_0 = esk17_0 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_43]),c_0_22]),c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( esk16_0 = esk17_0
| esk16_0 = esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_39]),c_0_55]) ).
cnf(c_0_61,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( unordered_pair(esk18_0,esk15_0) = unordered_pair(esk18_0,esk18_0)
| esk16_0 = esk17_0
| esk15_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( unordered_pair(esk18_0,esk15_0) = unordered_pair(esk17_0,esk17_0)
| unordered_pair(esk18_0,esk15_0) = unordered_pair(esk17_0,esk18_0)
| esk16_0 = esk17_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_60]),c_0_22]),c_0_22]) ).
cnf(c_0_64,negated_conjecture,
( esk2_1(unordered_pair(esk18_0,esk15_0)) = esk15_0
| esk15_0 = esk17_0
| esk16_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_61,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( unordered_pair(esk18_0,esk15_0) = unordered_pair(esk17_0,esk17_0)
| unordered_pair(esk18_0,esk18_0) = unordered_pair(esk17_0,esk18_0)
| esk15_0 = esk17_0
| esk16_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( unordered_pair(esk18_0,esk18_0) = unordered_pair(esk17_0,esk18_0)
| esk16_0 = esk17_0
| esk15_0 = esk17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_61])]) ).
cnf(c_0_67,negated_conjecture,
( unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk18_0)) = unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))
| esk15_0 = esk17_0
| esk16_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_66]) ).
cnf(c_0_68,negated_conjecture,
( esk16_0 = esk17_0
| esk15_0 = esk17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_67]),c_0_35]) ).
cnf(c_0_69,negated_conjecture,
in(unordered_pair(esk15_0,esk15_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))),
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_70,negated_conjecture,
( unordered_pair(esk17_0,esk15_0) = unordered_pair(esk17_0,esk18_0)
| esk15_0 = esk17_0 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_68]),c_0_22]),c_0_22]),c_0_40]) ).
cnf(c_0_71,negated_conjecture,
( unordered_pair(esk15_0,esk15_0) = unordered_pair(esk17_0,esk18_0)
| unordered_pair(esk15_0,esk15_0) = unordered_pair(esk17_0,esk17_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_69]) ).
cnf(c_0_72,lemma,
( esk15_0 = esk17_0
| unordered_pair(X1,X1) != unordered_pair(esk17_0,esk18_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( unordered_pair(esk18_0,esk18_0) = unordered_pair(esk17_0,esk17_0)
| unordered_pair(esk18_0,esk18_0) = unordered_pair(esk17_0,esk18_0)
| esk15_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_38]) ).
cnf(c_0_74,negated_conjecture,
( unordered_pair(esk18_0,esk18_0) = unordered_pair(esk17_0,esk17_0)
| esk15_0 = esk17_0 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_75,negated_conjecture,
( esk15_0 != esk17_0
| esk16_0 != esk18_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_76,negated_conjecture,
esk15_0 = esk17_0,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_74]),c_0_61]),c_0_54]) ).
cnf(c_0_77,negated_conjecture,
esk16_0 != esk18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).
cnf(c_0_78,negated_conjecture,
esk16_0 = esk17_0,
inference(sr,[status(thm)],[c_0_60,c_0_77]) ).
cnf(c_0_79,negated_conjecture,
unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)) = unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk17_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_76]),c_0_76]),c_0_76]),c_0_78]) ).
cnf(c_0_80,lemma,
( unordered_pair(esk17_0,esk18_0) = unordered_pair(esk17_0,esk17_0)
| unordered_pair(X1,X1) != unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_79]) ).
cnf(c_0_81,lemma,
unordered_pair(esk17_0,esk18_0) = unordered_pair(esk17_0,esk17_0),
inference(er,[status(thm)],[c_0_80]) ).
cnf(c_0_82,lemma,
in(esk18_0,unordered_pair(esk17_0,esk17_0)),
inference(spm,[status(thm)],[c_0_24,c_0_81]) ).
cnf(c_0_83,negated_conjecture,
esk18_0 != esk17_0,
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,lemma,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_82]),c_0_83]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU156+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:45:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.45/1.79 % Version : CSE_E---1.7
% 1.45/1.79 % Problem : theBenchmark.p
% 1.45/1.79 % SZS status Theorem for theBenchmark.p
% 1.45/1.79 % SZS output start CNFRefutation
% See solution above
% 1.45/1.79 % Total time : 1.372s
%------------------------------------------------------------------------------