%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU359+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:24:50 PM UTC 2026
% Result : Theorem 5.23s 1.11s
% Output : CNFRefutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 12 unt; 0 def)
% Number of atoms : 305 ( 39 equ)
% Maximal formula atoms : 57 ( 5 avg)
% Number of connectives : 407 ( 157 ~; 175 |; 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 : 68 ( 1 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)
<=> ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) )
& relstr_set_smaller(X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(t30_yellow_0,conjecture,
! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) )
& relstr_set_smaller(X1,X3,X2) )
=> ( ex_sup_of_relstr_set(X1,X3)
& X2 = join_on_relstr(X1,X3) ) )
& ( ( ex_sup_of_relstr_set(X1,X3)
& X2 = join_on_relstr(X1,X3) )
=> ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) )
& relstr_set_smaller(X1,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(t15_yellow_0,lemma,
! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( ex_sup_of_relstr_set(X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) )
& relstr_set_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(t25_orders_2,lemma,
! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( related(X1,X3,X2)
& related(X1,X2,X3) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_orders_2) ).
fof(c_0_5,plain,
! [X37,X38,X39,X40] :
( ( ~ rel_str(X37)
| ~ element(X39,the_carrier(X37))
| ~ ex_sup_of_relstr_set(X37,X38)
| X39 = join_on_relstr(X37,X38)
| ~ relstr_set_smaller(X37,X38,X39)
| ~ related(X37,X39,esk9_3(X37,X38,X39)) )
& ( ~ rel_str(X37)
| ~ element(X39,the_carrier(X37))
| ~ ex_sup_of_relstr_set(X37,X38)
| X39 = join_on_relstr(X37,X38)
| ~ relstr_set_smaller(X37,X38,X39)
| relstr_set_smaller(X37,X38,esk9_3(X37,X38,X39)) )
& ( ~ rel_str(X37)
| ~ element(X39,the_carrier(X37))
| ~ ex_sup_of_relstr_set(X37,X38)
| X39 = join_on_relstr(X37,X38)
| ~ relstr_set_smaller(X37,X38,X39)
| element(esk9_3(X37,X38,X39),the_carrier(X37)) )
& ( ~ rel_str(X37)
| ~ element(X39,the_carrier(X37))
| ~ ex_sup_of_relstr_set(X37,X38)
| X39 != join_on_relstr(X37,X38)
| related(X37,X39,X40)
| ~ relstr_set_smaller(X37,X38,X40)
| ~ element(X40,the_carrier(X37)) )
& ( ~ rel_str(X37)
| ~ element(X39,the_carrier(X37))
| ~ ex_sup_of_relstr_set(X37,X38)
| X39 != join_on_relstr(X37,X38)
| relstr_set_smaller(X37,X38,X39) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
! [X49,X50] :
( element(join_on_relstr(X49,X50),the_carrier(X49))
| ~ rel_str(X49) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) )
& relstr_set_smaller(X1,X3,X2) )
=> ( ex_sup_of_relstr_set(X1,X3)
& X2 = join_on_relstr(X1,X3) ) )
& ( ( ex_sup_of_relstr_set(X1,X3)
& X2 = join_on_relstr(X1,X3) )
=> ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) )
& relstr_set_smaller(X1,X3,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t30_yellow_0]) ).
cnf(c_0_8,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| X3 != join_on_relstr(X1,X2)
| relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ rel_str(X1)
| element(join_on_relstr(X1,X2),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,negated_conjecture,
! [X25] :
( ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0) )
& ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| related(esk1_0,esk2_0,X25)
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| ~ element(X25,the_carrier(esk1_0)) )
& ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0) )
& ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| related(esk1_0,esk2_0,X25)
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| ~ element(X25,the_carrier(esk1_0)) )
& ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0) )
& ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0))
| related(esk1_0,esk2_0,X25)
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| ~ element(X25,the_carrier(esk1_0)) )
& ( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0))
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0) )
& ( ex_sup_of_relstr_set(esk1_0,esk3_0)
| related(esk1_0,esk2_0,X25)
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| ~ element(X25,the_carrier(esk1_0)) )
& ( ex_sup_of_relstr_set(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( esk2_0 = join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0) )
& ( esk2_0 = join_on_relstr(esk1_0,esk3_0)
| related(esk1_0,esk2_0,X25)
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| ~ element(X25,the_carrier(esk1_0)) )
& ( esk2_0 = join_on_relstr(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& element(esk2_0,the_carrier(esk1_0))
& rel_str(esk1_0)
& antisymmetric_relstr(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,join_on_relstr(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_8]),c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,lemma,
! [X42,X43,X45,X46,X47] :
( ( ~ rel_str(X42)
| ~ antisymmetric_relstr(X42)
| ex_sup_of_relstr_set(X42,X46)
| ~ relstr_set_smaller(X42,X46,X47)
| ~ element(X47,the_carrier(X42))
| ~ related(X42,X47,esk11_3(X42,X46,X47)) )
& ( ~ rel_str(X42)
| ~ antisymmetric_relstr(X42)
| ex_sup_of_relstr_set(X42,X46)
| ~ relstr_set_smaller(X42,X46,X47)
| ~ element(X47,the_carrier(X42))
| relstr_set_smaller(X42,X46,esk11_3(X42,X46,X47)) )
& ( ~ rel_str(X42)
| ~ antisymmetric_relstr(X42)
| ex_sup_of_relstr_set(X42,X46)
| ~ relstr_set_smaller(X42,X46,X47)
| ~ element(X47,the_carrier(X42))
| element(esk11_3(X42,X46,X47),the_carrier(X42)) )
& ( ~ rel_str(X42)
| ~ antisymmetric_relstr(X42)
| ~ ex_sup_of_relstr_set(X42,X43)
| related(X42,esk10_2(X42,X43),X45)
| ~ relstr_set_smaller(X42,X43,X45)
| ~ element(X45,the_carrier(X42)) )
& ( ~ rel_str(X42)
| ~ antisymmetric_relstr(X42)
| ~ ex_sup_of_relstr_set(X42,X43)
| relstr_set_smaller(X42,X43,esk10_2(X42,X43)) )
& ( ~ rel_str(X42)
| ~ antisymmetric_relstr(X42)
| ~ ex_sup_of_relstr_set(X42,X43)
| element(esk10_2(X42,X43),the_carrier(X42)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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(esk1_0,esk3_0,esk2_0)
| relstr_set_smaller(esk1_0,esk3_0,join_on_relstr(esk1_0,esk3_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,
( esk2_0 = join_on_relstr(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,lemma,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk11_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
relstr_set_smaller(esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
element(esk2_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,lemma,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| element(esk11_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| ~ element(X1,the_carrier(esk1_0))
| ex_sup_of_relstr_set(esk1_0,esk3_0)
| related(esk1_0,esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_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_19]),c_0_20]),c_0_13])]) ).
cnf(c_0_24,negated_conjecture,
( element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0))
| ex_sup_of_relstr_set(esk1_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_21,c_0_18]),c_0_19]),c_0_20]),c_0_13])]) ).
cnf(c_0_25,lemma,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,esk11_3(X1,X3,X2))
| ex_sup_of_relstr_set(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( related(esk1_0,esk2_0,esk11_3(esk1_0,esk3_0,esk2_0))
| ex_sup_of_relstr_set(esk1_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_27,lemma,
ex_sup_of_relstr_set(esk1_0,esk3_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_25,c_0_26]),c_0_18]),c_0_19]),c_0_20]),c_0_13])]) ).
cnf(c_0_28,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| ~ element(X1,the_carrier(esk1_0))
| esk2_0 = join_on_relstr(esk1_0,esk3_0)
| related(esk1_0,esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,lemma,
relstr_set_smaller(esk1_0,esk3_0,join_on_relstr(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_27]),c_0_13])]) ).
cnf(c_0_30,plain,
( ~ rel_str(X2)
| ~ element(X4,the_carrier(X2))
| ~ ex_sup_of_relstr_set(X2,X3)
| X4 != join_on_relstr(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| related(X2,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_31,lemma,
! [X53,X54,X55] :
( X54 = X55
| ~ related(X53,X55,X54)
| ~ related(X53,X54,X55)
| ~ element(X55,the_carrier(X53))
| ~ element(X54,the_carrier(X53))
| ~ rel_str(X53)
| ~ antisymmetric_relstr(X53) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_orders_2])])])]) ).
cnf(c_0_32,negated_conjecture,
( ~ element(join_on_relstr(esk1_0,esk3_0),the_carrier(esk1_0))
| related(esk1_0,esk2_0,join_on_relstr(esk1_0,esk3_0))
| join_on_relstr(esk1_0,esk3_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| related(X1,join_on_relstr(X1,X2),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_30]),c_0_9]) ).
cnf(c_0_34,lemma,
( ~ related(X1,X3,X2)
| ~ related(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( related(esk1_0,esk2_0,join_on_relstr(esk1_0,esk3_0))
| join_on_relstr(esk1_0,esk3_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_9]),c_0_13])]) ).
cnf(c_0_36,lemma,
( ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| related(esk1_0,join_on_relstr(esk1_0,esk3_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_13])]) ).
cnf(c_0_37,lemma,
( ~ element(join_on_relstr(esk1_0,esk3_0),the_carrier(esk1_0))
| ~ related(esk1_0,join_on_relstr(esk1_0,esk3_0),esk2_0)
| join_on_relstr(esk1_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_34,c_0_35]),c_0_19]),c_0_20]),c_0_13])]) ).
cnf(c_0_38,negated_conjecture,
related(esk1_0,join_on_relstr(esk1_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_18]),c_0_20])]) ).
cnf(c_0_39,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0)
| element(esk4_0,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_42,lemma,
( ~ element(join_on_relstr(esk1_0,esk3_0),the_carrier(esk1_0))
| join_on_relstr(esk1_0,esk3_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).
cnf(c_0_43,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| join_on_relstr(esk1_0,esk3_0) != esk2_0
| relstr_set_smaller(esk1_0,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_18])]) ).
cnf(c_0_44,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| join_on_relstr(esk1_0,esk3_0) != esk2_0
| element(esk4_0,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_18])]) ).
cnf(c_0_45,negated_conjecture,
( ~ related(esk1_0,esk2_0,esk4_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| join_on_relstr(esk1_0,esk3_0) != esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_18])]) ).
cnf(c_0_46,lemma,
join_on_relstr(esk1_0,esk3_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_9]),c_0_13])]) ).
cnf(c_0_47,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) != esk2_0
| relstr_set_smaller(esk1_0,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_27])]) ).
cnf(c_0_48,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) != esk2_0
| element(esk4_0,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_27])]) ).
cnf(c_0_49,negated_conjecture,
( ~ related(esk1_0,esk2_0,esk4_0)
| join_on_relstr(esk1_0,esk3_0) != esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_27])]) ).
cnf(c_0_50,lemma,
( ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| related(esk1_0,esk2_0,X1) ),
inference(rw,[status(thm)],[c_0_36,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
relstr_set_smaller(esk1_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_46])]) ).
cnf(c_0_52,negated_conjecture,
element(esk4_0,the_carrier(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_46])]) ).
cnf(c_0_53,negated_conjecture,
~ related(esk1_0,esk2_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_46])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU359+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 06:14:51 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.32 Running first-order theorem proving
% 0.06/0.32 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.23/1.11 % Version: 3.5.1
% 5.23/1.11 % Preprocessing class: FSLMSMSSSSSNFFN.
% 5.23/1.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.23/1.11 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 5.23/1.11 % Starting new_bool_3 with 600s (2) cores
% 5.23/1.11 % Starting new_bool_1 with 600s (2) cores
% 5.23/1.11 % Starting sh5l with 300s (1) cores
% 5.23/1.11 % new_bool_1 with pid 1722114 completed with status 0
% 5.23/1.11 % Result found by new_bool_1
% 5.23/1.11 % Preprocessing class: FSLMSMSSSSSNFFN.
% 5.23/1.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.23/1.11 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 5.23/1.11 % Starting new_bool_3 with 600s (2) cores
% 5.23/1.11 % Starting new_bool_1 with 600s (2) cores
% 5.23/1.11 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 5.23/1.11 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.23/1.11 % Search class: FGHSM-SMLM32-MFFFFFNN
% 5.23/1.11 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 5.23/1.11 % Starting SubtermCWHack with 55s (1) cores
% 5.23/1.11 % Starting new_bool_1 with 61s (1) cores
% 5.23/1.11 % new_bool_1 with pid 1722123 completed with status 0
% 5.23/1.11 % Result found by new_bool_1
% 5.23/1.11 % Preprocessing class: FSLMSMSSSSSNFFN.
% 5.23/1.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.23/1.11 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 5.23/1.11 % Starting new_bool_3 with 600s (2) cores
% 5.23/1.11 % Starting new_bool_1 with 600s (2) cores
% 5.23/1.11 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 5.23/1.11 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.23/1.11 % Search class: FGHSM-SMLM32-MFFFFFNN
% 5.23/1.11 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 5.23/1.11 % Starting SubtermCWHack with 55s (1) cores
% 5.23/1.11 % Starting new_bool_1 with 61s (1) cores
% 5.23/1.11 % Preprocessing time : 0.013 s
% 5.23/1.11 % Presaturation interreduction done
% 5.23/1.11
% 5.23/1.11 % Proof found!
% 5.23/1.11 % SZS status Theorem
% 5.23/1.11 % SZS output start CNFRefutation
% See solution above
% 5.23/1.11 % Parsed axioms : 682
% 5.23/1.11 % Removed by relevancy pruning/SinE : 514
% 5.23/1.11 % Initial clauses : 1127
% 5.23/1.11 % Removed in clause preprocessing : 15
% 5.23/1.11 % Initial clauses in saturation : 1112
% 5.23/1.11 % Processed clauses : 4460
% 5.23/1.11 % ...of these trivial : 8
% 5.23/1.11 % ...subsumed : 1898
% 5.23/1.11 % ...remaining for further processing : 2554
% 5.23/1.11 % Other redundant clauses eliminated : 615
% 5.23/1.11 % Clauses deleted for lack of memory : 0
% 5.23/1.11 % Backward-subsumed : 84
% 5.23/1.11 % Backward-rewritten : 112
% 5.23/1.11 % Generated clauses : 12192
% 5.23/1.11 % ...of the previous two non-redundant : 11244
% 5.23/1.11 % ...aggressively subsumed : 0
% 5.23/1.11 % Contextual simplify-reflections : 270
% 5.23/1.11 % Paramodulations : 11700
% 5.23/1.11 % Factorizations : 2
% 5.23/1.11 % NegExts : 0
% 5.23/1.11 % Equation resolutions : 619
% 5.23/1.11 % Disequality decompositions : 0
% 5.23/1.11 % Total rewrite steps : 1933
% 5.23/1.11 % ...of those cached : 1768
% 5.23/1.11 % Propositional unsat checks : 0
% 5.23/1.11 % Propositional check models : 0
% 5.23/1.11 % Propositional check unsatisfiable : 0
% 5.23/1.11 % Propositional clauses : 0
% 5.23/1.11 % Propositional clauses after purity: 0
% 5.23/1.11 % Propositional unsat core size : 0
% 5.23/1.11 % Propositional preprocessing time : 0.000
% 5.23/1.11 % Propositional encoding time : 0.000
% 5.23/1.11 % Propositional solver time : 0.000
% 5.23/1.11 % Success case prop preproc time : 0.000
% 5.23/1.11 % Success case prop encoding time : 0.000
% 5.23/1.11 % Success case prop solver time : 0.000
% 5.23/1.11 % Current number of processed clauses : 971
% 5.23/1.11 % Positive orientable unit clauses : 109
% 5.23/1.11 % Positive unorientable unit clauses: 0
% 5.23/1.11 % Negative unit clauses : 40
% 5.23/1.11 % Non-unit-clauses : 822
% 5.23/1.11 % Current number of unprocessed clauses: 8830
% 5.23/1.11 % ...number of literals in the above : 35979
% 5.23/1.11 % Current number of archived formulas : 0
% 5.23/1.11 % Current number of archived clauses : 1241
% 5.23/1.11 % Clause-clause subsumption calls (NU) : 818155
% 5.23/1.11 % Rec. Clause-clause subsumption calls : 125028
% 5.23/1.11 % Non-unit clause-clause subsumptions : 1712
% 5.23/1.11 % Unit Clause-clause subsumption calls : 10252
% 5.23/1.11 % Rewrite failures with RHS unbound : 0
% 5.23/1.11 % BW rewrite match attempts : 113
% 5.23/1.11 % BW rewrite match successes : 25
% 5.23/1.11 % Condensation attempts : 0
% 5.23/1.11 % Condensation successes : 0
% 5.23/1.11 % Termbank termtop insertions : 255694
% 5.23/1.11 % Search garbage collected termcells : 18396
% 5.23/1.11
% 5.23/1.11 % -------------------------------------------------
% 5.23/1.11 % User time : 0.733 s
% 5.23/1.11 % System time : 0.015 s
% 5.23/1.11 % Total time : 0.748 s
% 5.23/1.11 % Maximum resident set size: 6832 pages
% 5.23/1.11
% 5.23/1.11 % -------------------------------------------------
% 5.23/1.11 % User time : 1.351 s
% 5.23/1.11 % System time : 0.048 s
% 5.23/1.11 % Total time : 1.399 s
% 5.23/1.11 % Maximum resident set size: 5632 pages
% 5.23/1.11 % E exiting
%------------------------------------------------------------------------------