%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU359+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 0.24s 0.55s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 10 unt; 0 def)
% Number of atoms : 339 ( 43 equ)
% Maximal formula atoms : 57 ( 6 avg)
% Number of connectives : 471 ( 188 ~; 214 |; 42 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 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 : 79 ( 1 sgn 31 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',t30_yellow_0) ).
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/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(t15_yellow_0,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(c_0_4,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]) ).
fof(c_0_5,plain,
! [X10,X11,X12,X13] :
( ( ~ rel_str(X10)
| ~ element(X12,the_carrier(X10))
| ~ ex_sup_of_relstr_set(X10,X11)
| X12 = join_on_relstr(X10,X11)
| ~ relstr_set_smaller(X10,X11,X12)
| ~ related(X10,X12,esk5_3(X10,X11,X12)) )
& ( ~ rel_str(X10)
| ~ element(X12,the_carrier(X10))
| ~ ex_sup_of_relstr_set(X10,X11)
| X12 = join_on_relstr(X10,X11)
| ~ relstr_set_smaller(X10,X11,X12)
| relstr_set_smaller(X10,X11,esk5_3(X10,X11,X12)) )
& ( ~ rel_str(X10)
| ~ element(X12,the_carrier(X10))
| ~ ex_sup_of_relstr_set(X10,X11)
| X12 = join_on_relstr(X10,X11)
| ~ relstr_set_smaller(X10,X11,X12)
| element(esk5_3(X10,X11,X12),the_carrier(X10)) )
& ( ~ rel_str(X10)
| ~ element(X12,the_carrier(X10))
| ~ ex_sup_of_relstr_set(X10,X11)
| X12 != join_on_relstr(X10,X11)
| related(X10,X12,X13)
| ~ relstr_set_smaller(X10,X11,X13)
| ~ element(X13,the_carrier(X10)) )
& ( ~ rel_str(X10)
| ~ element(X12,the_carrier(X10))
| ~ ex_sup_of_relstr_set(X10,X11)
| X12 != join_on_relstr(X10,X11)
| relstr_set_smaller(X10,X11,X12) ) ),
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,
! [X22,X23] :
( element(join_on_relstr(X22,X23),the_carrier(X22))
| ~ rel_str(X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])])]) ).
fof(c_0_7,plain,
! [X15,X16,X18,X19,X20] :
( ( ~ rel_str(X15)
| ~ antisymmetric_relstr(X15)
| ex_sup_of_relstr_set(X15,X19)
| ~ relstr_set_smaller(X15,X19,X20)
| ~ element(X20,the_carrier(X15))
| ~ related(X15,X20,esk7_3(X15,X19,X20)) )
& ( ~ rel_str(X15)
| ~ antisymmetric_relstr(X15)
| ex_sup_of_relstr_set(X15,X19)
| ~ relstr_set_smaller(X15,X19,X20)
| ~ element(X20,the_carrier(X15))
| relstr_set_smaller(X15,X19,esk7_3(X15,X19,X20)) )
& ( ~ rel_str(X15)
| ~ antisymmetric_relstr(X15)
| ex_sup_of_relstr_set(X15,X19)
| ~ relstr_set_smaller(X15,X19,X20)
| ~ element(X20,the_carrier(X15))
| element(esk7_3(X15,X19,X20),the_carrier(X15)) )
& ( ~ rel_str(X15)
| ~ antisymmetric_relstr(X15)
| ~ ex_sup_of_relstr_set(X15,X16)
| related(X15,esk6_2(X15,X16),X18)
| ~ relstr_set_smaller(X15,X16,X18)
| ~ element(X18,the_carrier(X15)) )
& ( ~ rel_str(X15)
| ~ antisymmetric_relstr(X15)
| ~ ex_sup_of_relstr_set(X15,X16)
| relstr_set_smaller(X15,X16,esk6_2(X15,X16)) )
& ( ~ rel_str(X15)
| ~ antisymmetric_relstr(X15)
| ~ ex_sup_of_relstr_set(X15,X16)
| element(esk6_2(X15,X16),the_carrier(X15)) ) ),
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])])])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X9] :
( ( ~ 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,X9)
| ~ relstr_set_smaller(esk1_0,esk3_0,X9)
| ~ element(X9,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,X9)
| ~ relstr_set_smaller(esk1_0,esk3_0,X9)
| ~ element(X9,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,X9)
| ~ relstr_set_smaller(esk1_0,esk3_0,X9)
| ~ element(X9,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,X9)
| ~ relstr_set_smaller(esk1_0,esk3_0,X9)
| ~ element(X9,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,X9)
| ~ relstr_set_smaller(esk1_0,esk3_0,X9)
| ~ element(X9,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_4])])])])])]) ).
cnf(c_0_9,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_10,plain,
( ~ rel_str(X1)
| element(join_on_relstr(X1,X2),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,esk7_3(X1,X3,X2))
| ex_sup_of_relstr_set(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,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_8]) ).
cnf(c_0_13,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
element(esk2_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,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_9]),c_0_10]) ).
cnf(c_0_17,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_8]) ).
cnf(c_0_18,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_8]) ).
cnf(c_0_19,negated_conjecture,
( ~ element(esk7_3(esk1_0,X1,esk2_0),the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk7_3(esk1_0,X1,esk2_0))
| ex_sup_of_relstr_set(esk1_0,X1)
| 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_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]) ).
cnf(c_0_20,plain,
( ~ 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(esk7_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ relstr_set_smaller(X1,X3,X2)
| ~ related(X1,X2,esk5_3(X1,X3,X2))
| X2 = join_on_relstr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,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_8]) ).
cnf(c_0_23,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| ~ element(X1,the_carrier(esk1_0))
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| related(esk1_0,esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
relstr_set_smaller(esk1_0,esk3_0,esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15])]),c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| ~ element(X1,the_carrier(esk1_0))
| element(esk4_0,the_carrier(esk1_0))
| related(esk1_0,esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,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_8]) ).
cnf(c_0_27,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk7_3(esk1_0,X1,esk2_0))
| ex_sup_of_relstr_set(esk1_0,X1)
| 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_19,c_0_20]),c_0_13]),c_0_14]),c_0_15])]) ).
cnf(c_0_28,plain,
( ~ 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,esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
( ~ element(esk5_3(esk1_0,X1,esk2_0),the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,X1)
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk5_3(esk1_0,X1,esk2_0))
| join_on_relstr(esk1_0,X1) = esk2_0
| join_on_relstr(esk1_0,esk3_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_14]),c_0_15])]) ).
cnf(c_0_30,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| X3 = join_on_relstr(X1,X2)
| element(esk5_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_31,negated_conjecture,
( ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| related(esk1_0,esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_32,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_8]) ).
cnf(c_0_33,negated_conjecture,
( ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| element(esk4_0,the_carrier(esk1_0))
| related(esk1_0,esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_24])]) ).
cnf(c_0_34,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_8]) ).
cnf(c_0_35,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ 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_26,c_0_24])]) ).
cnf(c_0_36,negated_conjecture,
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_27,c_0_28]),c_0_24]),c_0_13]),c_0_14]),c_0_15])]) ).
cnf(c_0_37,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,X1)
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk5_3(esk1_0,X1,esk2_0))
| join_on_relstr(esk1_0,X1) = esk2_0
| join_on_relstr(esk1_0,esk3_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_14]),c_0_15])]) ).
cnf(c_0_38,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| X3 = join_on_relstr(X1,X2)
| relstr_set_smaller(X1,X2,esk5_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_39,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]) ).
cnf(c_0_40,negated_conjecture,
( ~ element(esk5_3(esk1_0,X1,esk2_0),the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,X1)
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk5_3(esk1_0,X1,esk2_0))
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| join_on_relstr(esk1_0,X1) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_31]),c_0_14]),c_0_15])]) ).
cnf(c_0_41,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_32,c_0_24])]) ).
cnf(c_0_42,negated_conjecture,
( ~ element(esk5_3(esk1_0,X1,esk2_0),the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,X1)
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk5_3(esk1_0,X1,esk2_0))
| element(esk4_0,the_carrier(esk1_0))
| join_on_relstr(esk1_0,X1) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_33]),c_0_14]),c_0_15])]) ).
cnf(c_0_43,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_34,c_0_24])]) ).
cnf(c_0_44,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_35,c_0_36])]) ).
cnf(c_0_45,negated_conjecture,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_24]),c_0_36]),c_0_14]),c_0_15])]) ).
cnf(c_0_46,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_39]),c_0_10]) ).
cnf(c_0_47,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,X1)
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk5_3(esk1_0,X1,esk2_0))
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| join_on_relstr(esk1_0,X1) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_30]),c_0_14]),c_0_15])]) ).
cnf(c_0_48,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_41,c_0_36])]) ).
cnf(c_0_49,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,X1)
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk5_3(esk1_0,X1,esk2_0))
| element(esk4_0,the_carrier(esk1_0))
| join_on_relstr(esk1_0,X1) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_30]),c_0_14]),c_0_15])]) ).
cnf(c_0_50,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_43,c_0_36])]) ).
cnf(c_0_51,negated_conjecture,
~ related(esk1_0,esk2_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).
cnf(c_0_52,negated_conjecture,
( ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X1)
| related(esk1_0,esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_36]),c_0_15])]) ).
cnf(c_0_53,negated_conjecture,
relstr_set_smaller(esk1_0,esk3_0,esk4_0),
inference(csr,[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_47,c_0_38]),c_0_24]),c_0_36]),c_0_14]),c_0_15])]),c_0_48]) ).
cnf(c_0_54,negated_conjecture,
element(esk4_0,the_carrier(esk1_0)),
inference(csr,[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_49,c_0_38]),c_0_24]),c_0_36]),c_0_14]),c_0_15])]),c_0_50]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU359+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 06:15:12 UTC 2026
% 0.17/0.41 % CPUTime :
% 0.17/0.41 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.24/0.55 % Version: 3.5.1
% 0.24/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.55 % Starting sh5l with 300s (1) cores
% 0.24/0.55 % sh5l with pid 1022925 completed with status 0
% 0.24/0.55 % Result found by sh5l
% 0.24/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.55 % Starting sh5l with 300s (1) cores
% 0.24/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.24/0.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.24/0.55 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.24/0.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.55 % SubtermCWHack with pid 1022929 completed with status 0
% 0.24/0.55 % Result found by SubtermCWHack
% 0.24/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.55 % Starting sh5l with 300s (1) cores
% 0.24/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.24/0.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.24/0.55 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.24/0.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.55 % Preprocessing time : 0.002 s
% 0.24/0.55
% 0.24/0.55 % Proof found!
% 0.24/0.55 % SZS status Theorem
% 0.24/0.55 % SZS output start CNFRefutation
% See solution above
% 0.24/0.55 % Parsed axioms : 11
% 0.24/0.55 % Removed by relevancy pruning/SinE : 3
% 0.24/0.55 % Initial clauses : 34
% 0.24/0.55 % Removed in clause preprocessing : 5
% 0.24/0.55 % Initial clauses in saturation : 29
% 0.24/0.55 % Processed clauses : 61
% 0.24/0.55 % ...of these trivial : 0
% 0.24/0.55 % ...subsumed : 2
% 0.24/0.55 % ...remaining for further processing : 59
% 0.24/0.55 % Other redundant clauses eliminated : 2
% 0.24/0.55 % Clauses deleted for lack of memory : 0
% 0.24/0.55 % Backward-subsumed : 8
% 0.24/0.55 % Backward-rewritten : 22
% 0.24/0.55 % Generated clauses : 51
% 0.24/0.55 % ...of the previous two non-redundant : 38
% 0.24/0.55 % ...aggressively subsumed : 0
% 0.24/0.55 % Contextual simplify-reflections : 6
% 0.24/0.55 % Paramodulations : 49
% 0.24/0.55 % Factorizations : 0
% 0.24/0.55 % NegExts : 0
% 0.24/0.55 % Equation resolutions : 2
% 0.24/0.55 % Disequality decompositions : 0
% 0.24/0.55 % Total rewrite steps : 109
% 0.24/0.55 % ...of those cached : 101
% 0.24/0.55 % Propositional unsat checks : 0
% 0.24/0.55 % Propositional check models : 0
% 0.24/0.55 % Propositional check unsatisfiable : 0
% 0.24/0.55 % Propositional clauses : 0
% 0.24/0.55 % Propositional clauses after purity: 0
% 0.24/0.55 % Propositional unsat core size : 0
% 0.24/0.55 % Propositional preprocessing time : 0.000
% 0.24/0.55 % Propositional encoding time : 0.000
% 0.24/0.55 % Propositional solver time : 0.000
% 0.24/0.55 % Success case prop preproc time : 0.000
% 0.24/0.55 % Success case prop encoding time : 0.000
% 0.24/0.55 % Success case prop solver time : 0.000
% 0.24/0.55 % Current number of processed clauses : 27
% 0.24/0.55 % Positive orientable unit clauses : 11
% 0.24/0.55 % Positive unorientable unit clauses: 0
% 0.24/0.55 % Negative unit clauses : 1
% 0.24/0.55 % Non-unit-clauses : 15
% 0.24/0.55 % Current number of unprocessed clauses: 4
% 0.24/0.55 % ...number of literals in the above : 32
% 0.24/0.55 % Current number of archived formulas : 0
% 0.24/0.55 % Current number of archived clauses : 30
% 0.24/0.55 % Clause-clause subsumption calls (NU) : 379
% 0.24/0.55 % Rec. Clause-clause subsumption calls : 32
% 0.24/0.55 % Non-unit clause-clause subsumptions : 15
% 0.24/0.55 % Unit Clause-clause subsumption calls : 6
% 0.24/0.55 % Rewrite failures with RHS unbound : 0
% 0.24/0.55 % BW rewrite match attempts : 11
% 0.24/0.55 % BW rewrite match successes : 5
% 0.24/0.55 % Condensation attempts : 0
% 0.24/0.55 % Condensation successes : 0
% 0.24/0.55 % Termbank termtop insertions : 3969
% 0.24/0.55 % Search garbage collected termcells : 582
% 0.24/0.55
% 0.24/0.55 % -------------------------------------------------
% 0.24/0.55 % User time : 0.015 s
% 0.24/0.55 % System time : 0.005 s
% 0.24/0.55 % Total time : 0.020 s
% 0.24/0.55 % Maximum resident set size: 3588 pages
% 0.24/0.55
% 0.24/0.55 % -------------------------------------------------
% 0.24/0.55 % User time : 0.016 s
% 0.24/0.55 % System time : 0.013 s
% 0.24/0.55 % Total time : 0.029 s
% 0.24/0.55 % Maximum resident set size: 4608 pages
% 0.24/0.55 % E exiting
%------------------------------------------------------------------------------