%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU297+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 : n012.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 05:11:23 PM UTC 2026
% Result : Theorem 1.20s 1.67s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 52 ( 10 unt; 0 def)
% Number of atoms : 347 ( 69 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 503 ( 208 ~; 250 |; 37 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 118 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e6_27__finset_1__1,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& in(relation_image(X3,X5),X2)
& X4 = X6
& in(relation_image(X3,X6),X2) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,powerset(relation_dom(X3)))
& X6 = X5
& in(relation_image(X3,X5),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_27__finset_1__1) ).
fof(s1_xboole_0__e6_27__finset_1,conjecture,
! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_27__finset_1) ).
fof(c_0_2,plain,
! [X104,X105,X106,X111,X113,X114] :
( ( in(esk25_4(X104,X105,X106,X111),powerset(relation_dom(X106)))
| ~ in(X111,esk24_3(X104,X105,X106))
| esk21_3(X104,X105,X106) = esk22_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( esk25_4(X104,X105,X106,X111) = X111
| ~ in(X111,esk24_3(X104,X105,X106))
| esk21_3(X104,X105,X106) = esk22_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(relation_image(X106,X111),X105)
| ~ in(X111,esk24_3(X104,X105,X106))
| esk21_3(X104,X105,X106) = esk22_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( ~ in(X114,powerset(relation_dom(X106)))
| X114 != X113
| ~ in(relation_image(X106,X113),X105)
| in(X113,esk24_3(X104,X105,X106))
| esk21_3(X104,X105,X106) = esk22_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(esk25_4(X104,X105,X106,X111),powerset(relation_dom(X106)))
| ~ in(X111,esk24_3(X104,X105,X106))
| in(relation_image(X106,esk22_3(X104,X105,X106)),X105)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( esk25_4(X104,X105,X106,X111) = X111
| ~ in(X111,esk24_3(X104,X105,X106))
| in(relation_image(X106,esk22_3(X104,X105,X106)),X105)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(relation_image(X106,X111),X105)
| ~ in(X111,esk24_3(X104,X105,X106))
| in(relation_image(X106,esk22_3(X104,X105,X106)),X105)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( ~ in(X114,powerset(relation_dom(X106)))
| X114 != X113
| ~ in(relation_image(X106,X113),X105)
| in(X113,esk24_3(X104,X105,X106))
| in(relation_image(X106,esk22_3(X104,X105,X106)),X105)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(esk25_4(X104,X105,X106,X111),powerset(relation_dom(X106)))
| ~ in(X111,esk24_3(X104,X105,X106))
| esk21_3(X104,X105,X106) = esk23_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( esk25_4(X104,X105,X106,X111) = X111
| ~ in(X111,esk24_3(X104,X105,X106))
| esk21_3(X104,X105,X106) = esk23_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(relation_image(X106,X111),X105)
| ~ in(X111,esk24_3(X104,X105,X106))
| esk21_3(X104,X105,X106) = esk23_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( ~ in(X114,powerset(relation_dom(X106)))
| X114 != X113
| ~ in(relation_image(X106,X113),X105)
| in(X113,esk24_3(X104,X105,X106))
| esk21_3(X104,X105,X106) = esk23_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(esk25_4(X104,X105,X106,X111),powerset(relation_dom(X106)))
| ~ in(X111,esk24_3(X104,X105,X106))
| in(relation_image(X106,esk23_3(X104,X105,X106)),X105)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( esk25_4(X104,X105,X106,X111) = X111
| ~ in(X111,esk24_3(X104,X105,X106))
| in(relation_image(X106,esk23_3(X104,X105,X106)),X105)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(relation_image(X106,X111),X105)
| ~ in(X111,esk24_3(X104,X105,X106))
| in(relation_image(X106,esk23_3(X104,X105,X106)),X105)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( ~ in(X114,powerset(relation_dom(X106)))
| X114 != X113
| ~ in(relation_image(X106,X113),X105)
| in(X113,esk24_3(X104,X105,X106))
| in(relation_image(X106,esk23_3(X104,X105,X106)),X105)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(esk25_4(X104,X105,X106,X111),powerset(relation_dom(X106)))
| ~ in(X111,esk24_3(X104,X105,X106))
| esk22_3(X104,X105,X106) != esk23_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( esk25_4(X104,X105,X106,X111) = X111
| ~ in(X111,esk24_3(X104,X105,X106))
| esk22_3(X104,X105,X106) != esk23_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( in(relation_image(X106,X111),X105)
| ~ in(X111,esk24_3(X104,X105,X106))
| esk22_3(X104,X105,X106) != esk23_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) )
& ( ~ in(X114,powerset(relation_dom(X106)))
| X114 != X113
| ~ in(relation_image(X106,X113),X105)
| in(X113,esk24_3(X104,X105,X106))
| esk22_3(X104,X105,X106) != esk23_3(X104,X105,X106)
| ~ element(X105,powerset(powerset(X104)))
| ~ relation(X106)
| ~ function(X106) ) ),
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)],[s1_tarski__e6_27__finset_1__1])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_27__finset_1]) ).
cnf(c_0_4,plain,
( in(X3,esk24_3(X5,X4,X2))
| esk21_3(X5,X4,X2) = esk22_3(X5,X4,X2)
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X63] :
( element(esk2_0,powerset(powerset(esk1_0)))
& relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk4_1(X63),X63)
| ~ in(esk4_1(X63),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X63)),esk2_0) )
& ( in(esk4_1(X63),powerset(relation_dom(esk3_0)))
| in(esk4_1(X63),X63) )
& ( in(relation_image(esk3_0,esk4_1(X63)),esk2_0)
| in(esk4_1(X63),X63) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
cnf(c_0_6,plain,
( esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1))) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk4_1(X1),powerset(relation_dom(esk3_0)))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk21_3(X1,X2,esk3_0) = esk22_3(X1,X2,esk3_0)
| in(esk4_1(X3),esk24_3(X1,X2,esk3_0))
| in(esk4_1(X3),X3)
| ~ in(relation_image(esk3_0,esk4_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_11,negated_conjecture,
( in(relation_image(esk3_0,esk4_1(X1)),esk2_0)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( esk21_3(X1,esk2_0,esk3_0) = esk22_3(X1,esk2_0,esk3_0)
| in(esk4_1(X2),esk24_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| ~ element(esk2_0,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
element(esk2_0,powerset(powerset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( in(X3,esk24_3(X5,X4,X2))
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| esk22_3(X5,X4,X2) != esk23_3(X5,X4,X2)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,plain,
( in(X3,esk24_3(X5,X4,X2))
| esk21_3(X5,X4,X2) = esk23_3(X5,X4,X2)
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,plain,
( in(relation_image(X1,X2),X3)
| esk21_3(X4,X3,X1) = esk22_3(X4,X3,X1)
| ~ in(X2,esk24_3(X4,X3,X1))
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),esk24_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( in(X1,esk24_3(X2,X3,X4))
| esk23_3(X2,X3,X4) != esk22_3(X2,X3,X4)
| ~ in(X1,powerset(relation_dom(X4)))
| ~ in(relation_image(X4,X1),X3)
| ~ function(X4)
| ~ relation(X4)
| ~ element(X3,powerset(powerset(X2))) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( in(relation_image(X1,X2),X3)
| ~ in(X2,esk24_3(X4,X3,X1))
| esk22_3(X4,X3,X1) != esk23_3(X4,X3,X1)
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,plain,
( esk21_3(X1,X2,X3) = esk23_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1))) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| ~ in(X4,esk24_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X1)),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_25,negated_conjecture,
( in(esk4_1(X1),esk24_3(X2,X3,esk3_0))
| in(esk4_1(X1),X1)
| esk23_3(X2,X3,esk3_0) != esk22_3(X2,X3,esk3_0)
| ~ in(relation_image(esk3_0,esk4_1(X1)),X3)
| ~ element(X3,powerset(powerset(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_26,negated_conjecture,
( in(relation_image(esk3_0,esk4_1(esk24_3(X1,X2,X3))),esk2_0)
| in(relation_image(X3,esk4_1(esk24_3(X1,X2,X3))),X2)
| esk23_3(X1,X2,X3) != esk22_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_27,negated_conjecture,
( esk21_3(X1,X2,esk3_0) = esk23_3(X1,X2,esk3_0)
| in(esk4_1(X3),esk24_3(X1,X2,esk3_0))
| in(esk4_1(X3),X3)
| ~ in(relation_image(esk3_0,esk4_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_28,plain,
( in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| ~ in(X4,esk24_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))
| esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_30,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( in(esk4_1(X1),esk24_3(X2,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk23_3(X2,esk2_0,esk3_0) != esk22_3(X2,esk2_0,esk3_0)
| ~ element(esk2_0,powerset(powerset(X2))) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,X1))),esk2_0)
| in(relation_image(X1,esk4_1(esk24_3(esk1_0,esk2_0,X1))),esk2_0)
| esk23_3(esk1_0,esk2_0,X1) != esk22_3(esk1_0,esk2_0,X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_13]) ).
cnf(c_0_33,negated_conjecture,
( esk21_3(X1,esk2_0,esk3_0) = esk23_3(X1,esk2_0,esk3_0)
| in(esk4_1(X2),esk24_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| ~ element(esk2_0,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_34,negated_conjecture,
esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_8]),c_0_9]),c_0_13])]),c_0_7]),c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_13]) ).
cnf(c_0_36,negated_conjecture,
( in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_8]),c_0_9])]) ).
cnf(c_0_37,negated_conjecture,
( in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_13]),c_0_34]),c_0_35]) ).
cnf(c_0_38,plain,
( in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ in(X4,esk24_3(X1,X2,X3))
| esk22_3(X1,X2,X3) != esk23_3(X1,X2,X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,plain,
( esk25_4(X1,X2,X3,X4) = X4
| ~ in(X4,esk24_3(X1,X2,X3))
| esk22_3(X1,X2,X3) != esk23_3(X1,X2,X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),esk24_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),esk24_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
( in(X1,powerset(relation_dom(X2)))
| esk23_3(X3,X4,X2) != esk22_3(X3,X4,X2)
| ~ in(X1,esk24_3(X3,X4,X2))
| ~ function(X2)
| ~ relation(X2)
| ~ element(X4,powerset(powerset(X3))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_44,plain,
( in(relation_image(X1,X2),X3)
| esk21_3(X4,X3,X1) = esk23_3(X4,X3,X1)
| ~ in(X2,esk24_3(X4,X3,X1))
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_8]),c_0_9]),c_0_13])]),c_0_43]) ).
cnf(c_0_46,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk21_3(X1,X2,X3) = esk23_3(X1,X2,X3)
| ~ in(X4,esk24_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_47,negated_conjecture,
in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_41]),c_0_34]),c_0_8]),c_0_9]),c_0_13])]),c_0_45]) ).
cnf(c_0_48,plain,
( in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk21_3(X1,X2,X3) = esk23_3(X1,X2,X3)
| ~ in(X4,esk24_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_49,negated_conjecture,
esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_34]),c_0_8]),c_0_9]),c_0_13])]),c_0_45]) ).
cnf(c_0_50,negated_conjecture,
~ in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_47]),c_0_41])]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_34]),c_0_41]),c_0_8]),c_0_9]),c_0_13])]),c_0_45]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU297+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.07 % 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
% 0.08/0.27 % Computer : n012.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue May 5 02:54:31 EDT 2026
% 0.08/0.27 % CPUTime :
% 0.08/0.27 % start to proof: theBenchmark
% 1.20/1.67 % Version : CSE_E---1.7
% 1.20/1.67 % Problem : theBenchmark.p
% 1.20/1.67 % SZS status Theorem for theBenchmark.p
% 1.20/1.67 % SZS output start CNFRefutation
% See solution above
% 1.20/1.67 % Total time : 1.369s
%------------------------------------------------------------------------------