%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU359+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 : n015.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 05:12:03 PM UTC 2026
% Result : Theorem 8.75s 5.85s
% Output : CNFRefutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 294 ( 36 equ)
% Maximal formula atoms : 57 ( 5 avg)
% Number of connectives : 393 ( 151 ~; 167 |; 44 &)
% ( 2 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 67 ( 2 sgn 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d9_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( ex_sup_of_relstr_set(X1,X2)
=> ( X3 = join_on_relstr(X1,X2)
<=> ( relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( rel_str(X1)
=> element(join_on_relstr(X1,X2),the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(t30_yellow_0,conjecture,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) )
=> ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) ) )
& ( ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) )
=> ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(t15_yellow_0,lemma,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_sup_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(t25_orders_2,lemma,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( related(X1,X2,X3)
& related(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(c_0_5,plain,
! [X2501,X2502,X2503,X2504] :
( ( relstr_set_smaller(X2501,X2502,X2503)
| X2503 != join_on_relstr(X2501,X2502)
| ~ ex_sup_of_relstr_set(X2501,X2502)
| ~ element(X2503,the_carrier(X2501))
| ~ rel_str(X2501) )
& ( ~ element(X2504,the_carrier(X2501))
| ~ relstr_set_smaller(X2501,X2502,X2504)
| related(X2501,X2503,X2504)
| X2503 != join_on_relstr(X2501,X2502)
| ~ ex_sup_of_relstr_set(X2501,X2502)
| ~ element(X2503,the_carrier(X2501))
| ~ rel_str(X2501) )
& ( element(esk124_3(X2501,X2502,X2503),the_carrier(X2501))
| ~ relstr_set_smaller(X2501,X2502,X2503)
| X2503 = join_on_relstr(X2501,X2502)
| ~ ex_sup_of_relstr_set(X2501,X2502)
| ~ element(X2503,the_carrier(X2501))
| ~ rel_str(X2501) )
& ( relstr_set_smaller(X2501,X2502,esk124_3(X2501,X2502,X2503))
| ~ relstr_set_smaller(X2501,X2502,X2503)
| X2503 = join_on_relstr(X2501,X2502)
| ~ ex_sup_of_relstr_set(X2501,X2502)
| ~ element(X2503,the_carrier(X2501))
| ~ rel_str(X2501) )
& ( ~ related(X2501,X2503,esk124_3(X2501,X2502,X2503))
| ~ relstr_set_smaller(X2501,X2502,X2503)
| X2503 = join_on_relstr(X2501,X2502)
| ~ ex_sup_of_relstr_set(X2501,X2502)
| ~ element(X2503,the_carrier(X2501))
| ~ rel_str(X2501) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_yellow_0])])])])]) ).
fof(c_0_6,plain,
! [X2532,X2533] :
( ~ rel_str(X2532)
| element(join_on_relstr(X2532,X2533),the_carrier(X2532)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) )
=> ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) ) )
& ( ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) )
=> ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t30_yellow_0]) ).
cnf(c_0_8,plain,
( relstr_set_smaller(X1,X2,X3)
| X3 != join_on_relstr(X1,X2)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( element(join_on_relstr(X1,X2),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,negated_conjecture,
! [X3755] :
( antisymmetric_relstr(esk436_0)
& rel_str(esk436_0)
& element(esk437_0,the_carrier(esk436_0))
& ( relstr_set_smaller(esk436_0,esk438_0,esk437_0)
| esk437_0 = join_on_relstr(esk436_0,esk438_0) )
& ( ~ element(X3755,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,X3755)
| related(esk436_0,esk437_0,X3755)
| esk437_0 = join_on_relstr(esk436_0,esk438_0) )
& ( esk437_0 != join_on_relstr(esk436_0,esk438_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| esk437_0 = join_on_relstr(esk436_0,esk438_0) )
& ( relstr_set_smaller(esk436_0,esk438_0,esk437_0)
| ex_sup_of_relstr_set(esk436_0,esk438_0) )
& ( ~ element(X3755,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,X3755)
| related(esk436_0,esk437_0,X3755)
| ex_sup_of_relstr_set(esk436_0,esk438_0) )
& ( esk437_0 != join_on_relstr(esk436_0,esk438_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| ex_sup_of_relstr_set(esk436_0,esk438_0) )
& ( relstr_set_smaller(esk436_0,esk438_0,esk437_0)
| element(esk439_0,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) )
& ( ~ element(X3755,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,X3755)
| related(esk436_0,esk437_0,X3755)
| element(esk439_0,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) )
& ( esk437_0 != join_on_relstr(esk436_0,esk438_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| element(esk439_0,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) )
& ( relstr_set_smaller(esk436_0,esk438_0,esk437_0)
| relstr_set_smaller(esk436_0,esk438_0,esk439_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) )
& ( ~ element(X3755,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,X3755)
| related(esk436_0,esk437_0,X3755)
| relstr_set_smaller(esk436_0,esk438_0,esk439_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) )
& ( esk437_0 != join_on_relstr(esk436_0,esk438_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| relstr_set_smaller(esk436_0,esk438_0,esk439_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) )
& ( relstr_set_smaller(esk436_0,esk438_0,esk437_0)
| ~ related(esk436_0,esk437_0,esk439_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) )
& ( ~ element(X3755,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,X3755)
| related(esk436_0,esk437_0,X3755)
| ~ related(esk436_0,esk437_0,esk439_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) )
& ( esk437_0 != join_on_relstr(esk436_0,esk438_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| ~ related(esk436_0,esk437_0,esk439_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) ) ),
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_7])])])])]) ).
cnf(c_0_11,plain,
( relstr_set_smaller(X1,X2,join_on_relstr(X1,X2))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_8]),c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( relstr_set_smaller(esk436_0,esk438_0,esk437_0)
| ex_sup_of_relstr_set(esk436_0,esk438_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
rel_str(esk436_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,lemma,
! [X3572,X3573,X3575,X3576,X3577] :
( ( element(esk422_2(X3572,X3573),the_carrier(X3572))
| ~ ex_sup_of_relstr_set(X3572,X3573)
| ~ antisymmetric_relstr(X3572)
| ~ rel_str(X3572) )
& ( relstr_set_smaller(X3572,X3573,esk422_2(X3572,X3573))
| ~ ex_sup_of_relstr_set(X3572,X3573)
| ~ antisymmetric_relstr(X3572)
| ~ rel_str(X3572) )
& ( ~ element(X3575,the_carrier(X3572))
| ~ relstr_set_smaller(X3572,X3573,X3575)
| related(X3572,esk422_2(X3572,X3573),X3575)
| ~ ex_sup_of_relstr_set(X3572,X3573)
| ~ antisymmetric_relstr(X3572)
| ~ rel_str(X3572) )
& ( element(esk423_3(X3572,X3576,X3577),the_carrier(X3572))
| ~ element(X3577,the_carrier(X3572))
| ~ relstr_set_smaller(X3572,X3576,X3577)
| ex_sup_of_relstr_set(X3572,X3576)
| ~ antisymmetric_relstr(X3572)
| ~ rel_str(X3572) )
& ( relstr_set_smaller(X3572,X3576,esk423_3(X3572,X3576,X3577))
| ~ element(X3577,the_carrier(X3572))
| ~ relstr_set_smaller(X3572,X3576,X3577)
| ex_sup_of_relstr_set(X3572,X3576)
| ~ antisymmetric_relstr(X3572)
| ~ rel_str(X3572) )
& ( ~ related(X3572,X3577,esk423_3(X3572,X3576,X3577))
| ~ element(X3577,the_carrier(X3572))
| ~ relstr_set_smaller(X3572,X3576,X3577)
| ex_sup_of_relstr_set(X3572,X3576)
| ~ antisymmetric_relstr(X3572)
| ~ rel_str(X3572) ) ),
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)],[t15_yellow_0])])])])])]) ).
cnf(c_0_15,negated_conjecture,
( relstr_set_smaller(esk436_0,esk438_0,join_on_relstr(esk436_0,esk438_0))
| relstr_set_smaller(esk436_0,esk438_0,esk437_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,negated_conjecture,
( relstr_set_smaller(esk436_0,esk438_0,esk437_0)
| esk437_0 = join_on_relstr(esk436_0,esk438_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,lemma,
( relstr_set_smaller(X1,X2,esk423_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
relstr_set_smaller(esk436_0,esk438_0,esk437_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
antisymmetric_relstr(esk436_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
element(esk437_0,the_carrier(esk436_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,lemma,
( element(esk423_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( related(X2,X4,X1)
| ~ element(X1,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| X4 != join_on_relstr(X2,X3)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ element(X4,the_carrier(X2))
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( related(esk436_0,esk437_0,X1)
| ex_sup_of_relstr_set(esk436_0,esk438_0)
| ~ element(X1,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
( relstr_set_smaller(esk436_0,esk438_0,esk423_3(esk436_0,esk438_0,esk437_0))
| ex_sup_of_relstr_set(esk436_0,esk438_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_19]),c_0_20]),c_0_13])]) ).
cnf(c_0_25,negated_conjecture,
( ex_sup_of_relstr_set(esk436_0,esk438_0)
| element(esk423_3(esk436_0,esk438_0,esk437_0),the_carrier(esk436_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_19]),c_0_20]),c_0_13])]) ).
cnf(c_0_26,plain,
( related(X1,join_on_relstr(X1,X2),X3)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_22]),c_0_9]) ).
cnf(c_0_27,lemma,
( ex_sup_of_relstr_set(X1,X3)
| ~ related(X1,X2,esk423_3(X1,X3,X2))
| ~ element(X2,the_carrier(X1))
| ~ relstr_set_smaller(X1,X3,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,negated_conjecture,
( ex_sup_of_relstr_set(esk436_0,esk438_0)
| related(esk436_0,esk437_0,esk423_3(esk436_0,esk438_0,esk437_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
fof(c_0_29,lemma,
! [X3694,X3695,X3696] :
( ~ antisymmetric_relstr(X3694)
| ~ rel_str(X3694)
| ~ element(X3695,the_carrier(X3694))
| ~ element(X3696,the_carrier(X3694))
| ~ related(X3694,X3695,X3696)
| ~ related(X3694,X3696,X3695)
| X3695 = X3696 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_orders_2])])]) ).
cnf(c_0_30,negated_conjecture,
( related(esk436_0,join_on_relstr(esk436_0,esk438_0),esk437_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_20]),c_0_13])]) ).
cnf(c_0_31,lemma,
ex_sup_of_relstr_set(esk436_0,esk438_0),
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_27,c_0_28]),c_0_18]),c_0_19]),c_0_20]),c_0_13])]) ).
cnf(c_0_32,negated_conjecture,
( relstr_set_smaller(esk436_0,esk438_0,esk439_0)
| esk437_0 != join_on_relstr(esk436_0,esk438_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,lemma,
( X2 = X3
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X2,X3)
| ~ related(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
related(esk436_0,join_on_relstr(esk436_0,esk438_0),esk437_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_35,negated_conjecture,
element(join_on_relstr(esk436_0,X1),the_carrier(esk436_0)),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_36,negated_conjecture,
( esk437_0 != join_on_relstr(esk436_0,esk438_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| ~ related(esk436_0,esk437_0,esk439_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
( element(esk439_0,the_carrier(esk436_0))
| esk437_0 != join_on_relstr(esk436_0,esk438_0)
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| ~ relstr_set_smaller(esk436_0,esk438_0,esk437_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,negated_conjecture,
( relstr_set_smaller(esk436_0,esk438_0,esk439_0)
| join_on_relstr(esk436_0,esk438_0) != esk437_0
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_18])]) ).
cnf(c_0_39,negated_conjecture,
( related(esk436_0,esk437_0,X1)
| esk437_0 = join_on_relstr(esk436_0,esk438_0)
| ~ element(X1,the_carrier(esk436_0))
| ~ relstr_set_smaller(esk436_0,esk438_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,lemma,
relstr_set_smaller(esk436_0,esk438_0,join_on_relstr(esk436_0,esk438_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_31]),c_0_13])]) ).
cnf(c_0_41,lemma,
( join_on_relstr(esk436_0,esk438_0) = esk437_0
| ~ related(esk436_0,esk437_0,join_on_relstr(esk436_0,esk438_0)) ),
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_33,c_0_34]),c_0_19]),c_0_35]),c_0_20]),c_0_13])]) ).
cnf(c_0_42,negated_conjecture,
( join_on_relstr(esk436_0,esk438_0) != esk437_0
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0)
| ~ related(esk436_0,esk437_0,esk439_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_18])]) ).
cnf(c_0_43,negated_conjecture,
( element(esk439_0,the_carrier(esk436_0))
| join_on_relstr(esk436_0,esk438_0) != esk437_0
| ~ ex_sup_of_relstr_set(esk436_0,esk438_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_18])]) ).
cnf(c_0_44,negated_conjecture,
( relstr_set_smaller(esk436_0,esk438_0,esk439_0)
| join_on_relstr(esk436_0,esk438_0) != esk437_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_31])]) ).
cnf(c_0_45,negated_conjecture,
join_on_relstr(esk436_0,esk438_0) = esk437_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_35])]),c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( join_on_relstr(esk436_0,esk438_0) != esk437_0
| ~ related(esk436_0,esk437_0,esk439_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_31])]) ).
cnf(c_0_47,negated_conjecture,
( element(esk439_0,the_carrier(esk436_0))
| join_on_relstr(esk436_0,esk438_0) != esk437_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_31])]) ).
cnf(c_0_48,negated_conjecture,
relstr_set_smaller(esk436_0,esk438_0,esk439_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).
cnf(c_0_49,negated_conjecture,
~ related(esk436_0,esk437_0,esk439_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_45])]) ).
cnf(c_0_50,negated_conjecture,
element(esk439_0,the_carrier(esk436_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_45])]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_48]),c_0_45]),c_0_31]),c_0_13])]),c_0_49]),c_0_50])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU359+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
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 02:59:17 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 8.75/5.85 % Version : CSE_E---1.7
% 8.75/5.85 % Problem : theBenchmark.p
% 8.75/5.85 % SZS status Theorem for theBenchmark.p
% 8.75/5.85 % SZS output start CNFRefutation
% See solution above
% 8.75/5.87 % Total time : 4.590s
%------------------------------------------------------------------------------