%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU356+1 : 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 : n011.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 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 58 ( 8 unt; 0 def)
% Number of atoms : 380 ( 20 equ)
% Maximal formula atoms : 107 ( 6 avg)
% Number of connectives : 544 ( 222 ~; 266 |; 36 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 97 ( 0 sgn 26 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_yellow_0,conjecture,
! [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(d7_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( ex_sup_of_relstr_set(X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( ! [X5] :
( element(X5,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X5)
=> related(X1,X4,X5) ) )
& relstr_set_smaller(X1,X2,X4) )
=> X4 = 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',d7_yellow_0) ).
fof(t25_orders_2,axiom,
! [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_3,negated_conjecture,
~ ! [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)) ) ) ),
inference(assume_negation,[status(cth)],[t15_yellow_0]) ).
fof(c_0_4,negated_conjecture,
! [X24,X27] :
( ( ex_sup_of_relstr_set(esk8_0,esk9_0)
| related(esk8_0,esk11_0,X27)
| ~ relstr_set_smaller(esk8_0,esk9_0,X27)
| ~ element(X27,the_carrier(esk8_0)) )
& ( ex_sup_of_relstr_set(esk8_0,esk9_0)
| relstr_set_smaller(esk8_0,esk9_0,esk11_0) )
& ( ex_sup_of_relstr_set(esk8_0,esk9_0)
| element(esk11_0,the_carrier(esk8_0)) )
& ( ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X24)
| ~ element(X24,the_carrier(esk8_0))
| ~ related(esk8_0,X24,esk10_1(X24)) )
& ( ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X24)
| ~ element(X24,the_carrier(esk8_0))
| relstr_set_smaller(esk8_0,esk9_0,esk10_1(X24)) )
& ( ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X24)
| ~ element(X24,the_carrier(esk8_0))
| element(esk10_1(X24),the_carrier(esk8_0)) )
& rel_str(esk8_0)
& antisymmetric_relstr(esk8_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_3])])])])])]) ).
fof(c_0_5,plain,
! [X6,X7,X9,X10,X12,X13,X16] :
( ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ~ related(X6,X13,esk3_3(X6,X12,X13))
| esk4_3(X6,X12,X13) != X13 )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ~ related(X6,X13,esk3_3(X6,X12,X13))
| related(X6,esk4_3(X6,X12,X13),X16)
| ~ relstr_set_smaller(X6,X12,X16)
| ~ element(X16,the_carrier(X6)) )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ~ related(X6,X13,esk3_3(X6,X12,X13))
| relstr_set_smaller(X6,X12,esk4_3(X6,X12,X13)) )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ~ related(X6,X13,esk3_3(X6,X12,X13))
| element(esk4_3(X6,X12,X13),the_carrier(X6)) )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| relstr_set_smaller(X6,X12,esk3_3(X6,X12,X13))
| esk4_3(X6,X12,X13) != X13 )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| relstr_set_smaller(X6,X12,esk3_3(X6,X12,X13))
| related(X6,esk4_3(X6,X12,X13),X16)
| ~ relstr_set_smaller(X6,X12,X16)
| ~ element(X16,the_carrier(X6)) )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| relstr_set_smaller(X6,X12,esk3_3(X6,X12,X13))
| relstr_set_smaller(X6,X12,esk4_3(X6,X12,X13)) )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| relstr_set_smaller(X6,X12,esk3_3(X6,X12,X13))
| element(esk4_3(X6,X12,X13),the_carrier(X6)) )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| element(esk3_3(X6,X12,X13),the_carrier(X6))
| esk4_3(X6,X12,X13) != X13 )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| element(esk3_3(X6,X12,X13),the_carrier(X6))
| related(X6,esk4_3(X6,X12,X13),X16)
| ~ relstr_set_smaller(X6,X12,X16)
| ~ element(X16,the_carrier(X6)) )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| element(esk3_3(X6,X12,X13),the_carrier(X6))
| relstr_set_smaller(X6,X12,esk4_3(X6,X12,X13)) )
& ( ~ rel_str(X6)
| ex_sup_of_relstr_set(X6,X12)
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| element(esk3_3(X6,X12,X13),the_carrier(X6))
| element(esk4_3(X6,X12,X13),the_carrier(X6)) )
& ( ~ rel_str(X6)
| ~ ex_sup_of_relstr_set(X6,X7)
| ~ element(X10,the_carrier(X6))
| X10 = esk1_2(X6,X7)
| ~ relstr_set_smaller(X6,X7,X10)
| ~ related(X6,X10,esk2_3(X6,X7,X10)) )
& ( ~ rel_str(X6)
| ~ ex_sup_of_relstr_set(X6,X7)
| ~ element(X10,the_carrier(X6))
| X10 = esk1_2(X6,X7)
| ~ relstr_set_smaller(X6,X7,X10)
| relstr_set_smaller(X6,X7,esk2_3(X6,X7,X10)) )
& ( ~ rel_str(X6)
| ~ ex_sup_of_relstr_set(X6,X7)
| ~ element(X10,the_carrier(X6))
| X10 = esk1_2(X6,X7)
| ~ relstr_set_smaller(X6,X7,X10)
| element(esk2_3(X6,X7,X10),the_carrier(X6)) )
& ( ~ rel_str(X6)
| ~ ex_sup_of_relstr_set(X6,X7)
| related(X6,esk1_2(X6,X7),X9)
| ~ relstr_set_smaller(X6,X7,X9)
| ~ element(X9,the_carrier(X6)) )
& ( ~ rel_str(X6)
| ~ ex_sup_of_relstr_set(X6,X7)
| relstr_set_smaller(X6,X7,esk1_2(X6,X7)) )
& ( ~ rel_str(X6)
| ~ ex_sup_of_relstr_set(X6,X7)
| element(esk1_2(X6,X7),the_carrier(X6)) ) ),
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)],[d7_yellow_0])])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0))
| ~ related(esk8_0,X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ rel_str(X2)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| related(X2,esk1_2(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
rel_str(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk8_0,X1)
| ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ element(esk1_2(esk8_0,X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,X1))
| ~ relstr_set_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,X1))) ),
inference(csr,[status(thm)],[inference(cn,[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,
( ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0))
| relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
( ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_8])]) ).
cnf(c_0_15,plain,
( ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| element(esk1_2(X1,X2),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
( ex_sup_of_relstr_set(esk8_0,esk9_0)
| element(esk11_0,the_carrier(esk8_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
~ ex_sup_of_relstr_set(esk8_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_8])]) ).
cnf(c_0_18,plain,
( ~ rel_str(X2)
| ~ relstr_set_smaller(X2,X3,X4)
| ~ element(X4,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ex_sup_of_relstr_set(X2,X3)
| relstr_set_smaller(X2,X3,esk3_3(X2,X3,X4))
| related(X2,esk4_3(X2,X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
element(esk11_0,the_carrier(esk8_0)),
inference(sr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| esk4_3(X1,X2,X3) != X3
| ex_sup_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| related(esk8_0,esk11_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( ex_sup_of_relstr_set(esk8_0,esk9_0)
| relstr_set_smaller(esk8_0,esk9_0,esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_23,plain,
! [X28,X29,X30] :
( X29 = X30
| ~ related(X28,X30,X29)
| ~ related(X28,X29,X30)
| ~ element(X30,the_carrier(X28))
| ~ element(X29,the_carrier(X28))
| ~ rel_str(X28)
| ~ antisymmetric_relstr(X28) ),
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_24,negated_conjecture,
( ~ element(X2,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,X2)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ex_sup_of_relstr_set(esk8_0,X1)
| relstr_set_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
| related(esk8_0,esk4_3(esk8_0,X1,esk11_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_8])]) ).
cnf(c_0_25,negated_conjecture,
( ~ element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,X1,esk11_0))
| esk4_3(esk8_0,X1,esk11_0) != esk11_0
| ex_sup_of_relstr_set(esk8_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_8])]),c_0_19])]),c_0_17]) ).
cnf(c_0_26,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| esk4_3(X1,X2,X3) != X3
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,negated_conjecture,
relstr_set_smaller(esk8_0,esk9_0,esk11_0),
inference(sr,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_28,plain,
( ~ 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_23]) ).
cnf(c_0_29,negated_conjecture,
antisymmetric_relstr(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,negated_conjecture,
( ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ex_sup_of_relstr_set(esk8_0,X1)
| relstr_set_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
| related(esk8_0,esk4_3(esk8_0,X1,esk11_0),esk11_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_31,negated_conjecture,
( ~ element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| esk4_3(esk8_0,esk9_0,esk11_0) != esk11_0 ),
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_25,c_0_26]),c_0_27]),c_0_19]),c_0_8])]),c_0_17]) ).
cnf(c_0_32,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| esk4_3(X1,X2,X3) != X3
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_33,negated_conjecture,
( ~ element(X1,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ related(esk8_0,X1,esk11_0)
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| X1 = esk11_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_21]),c_0_29]),c_0_8])]),c_0_16]) ).
cnf(c_0_34,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_17]) ).
cnf(c_0_35,negated_conjecture,
esk4_3(esk8_0,esk9_0,esk11_0) != esk11_0,
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_31,c_0_32]),c_0_27]),c_0_19]),c_0_8])]),c_0_17]) ).
cnf(c_0_36,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| element(esk4_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_37,plain,
( ~ rel_str(X2)
| ~ relstr_set_smaller(X2,X3,X4)
| ~ element(X4,the_carrier(X2))
| ~ related(X2,X4,esk3_3(X2,X3,X4))
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ex_sup_of_relstr_set(X2,X3)
| related(X2,esk4_3(X2,X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_39,negated_conjecture,
( ~ element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_17]) ).
cnf(c_0_40,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_41,negated_conjecture,
( ~ element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,X1,esk11_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| element(esk4_3(esk8_0,X1,esk11_0),the_carrier(esk8_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_21]),c_0_8])]),c_0_19])]),c_0_17]) ).
cnf(c_0_42,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| element(esk4_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_43,negated_conjecture,
( ~ element(X2,the_carrier(esk8_0))
| ~ element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,X2)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,X1,esk11_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| related(esk8_0,esk4_3(esk8_0,X1,esk11_0),X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_21]),c_0_19]),c_0_8])]),c_0_17]) ).
cnf(c_0_44,negated_conjecture,
( ~ element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,X1,esk11_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| relstr_set_smaller(esk8_0,X1,esk4_3(esk8_0,X1,esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_21]),c_0_8])]),c_0_19])]),c_0_17]) ).
cnf(c_0_45,negated_conjecture,
( ~ element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
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_39,c_0_40]),c_0_27]),c_0_19]),c_0_8])]),c_0_17]) ).
cnf(c_0_46,negated_conjecture,
( ~ element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
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_41,c_0_42]),c_0_27]),c_0_19]),c_0_8])]),c_0_17]) ).
cnf(c_0_47,plain,
( ~ rel_str(X2)
| ~ relstr_set_smaller(X2,X3,X4)
| ~ element(X4,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ex_sup_of_relstr_set(X2,X3)
| element(esk3_3(X2,X3,X4),the_carrier(X2))
| related(X2,esk4_3(X2,X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_48,negated_conjecture,
( ~ element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,X1,esk11_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,X1,esk11_0))
| ex_sup_of_relstr_set(esk8_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_43]),c_0_19])]),c_0_17]),c_0_41]),c_0_25]) ).
cnf(c_0_49,negated_conjecture,
( ~ element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_27])]),c_0_17]),c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( ~ element(X2,the_carrier(esk8_0))
| ~ element(esk4_3(esk8_0,X1,X2),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,X2)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,X1,X2))
| ex_sup_of_relstr_set(esk8_0,X1)
| element(esk3_3(esk8_0,X1,X2),the_carrier(esk8_0))
| esk4_3(esk8_0,X1,X2) = esk11_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_47]),c_0_8])]),c_0_19])]),c_0_17]) ).
cnf(c_0_51,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_52,negated_conjecture,
( ~ element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_27])]),c_0_17]) ).
cnf(c_0_53,negated_conjecture,
( ~ element(X1,the_carrier(esk8_0))
| ~ element(esk4_3(esk8_0,esk9_0,X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| element(esk3_3(esk8_0,esk9_0,X1),the_carrier(esk8_0))
| esk4_3(esk8_0,esk9_0,X1) = esk11_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_27]),c_0_8])]),c_0_17]) ).
cnf(c_0_54,plain,
( ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| element(esk4_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_55,negated_conjecture,
~ element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( ~ element(X1,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| element(esk3_3(esk8_0,esk9_0,X1),the_carrier(esk8_0))
| esk4_3(esk8_0,esk9_0,X1) = esk11_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_8])]),c_0_17]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_27]),c_0_19])]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU356+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 06:14:55 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.40 % Version: 3.5.1
% 0.12/0.40 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.40 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.40 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.40 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.40 % Starting sh5l with 300s (1) cores
% 0.12/0.40 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1151002 completed with status 0
% 0.12/0.40 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.40 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.40 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.40 % No SInE strategy applied
% 0.12/0.40 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.12/0.40 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.40 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.40 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.40 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 0.12/0.40 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.12/0.40 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.12/0.40 % SubtermCWHack with pid 1151006 completed with status 0
% 0.12/0.40 % Result found by SubtermCWHack
% 0.12/0.40 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.40 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.40 % No SInE strategy applied
% 0.12/0.40 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.12/0.40 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.40 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.40 % Preprocessing time : 0.001 s
% 0.12/0.40
% 0.12/0.40 % Proof found!
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 % SZS output start CNFRefutation
% See solution above
% 0.12/0.40 % Parsed axioms : 10
% 0.12/0.40 % Removed by relevancy pruning/SinE : 0
% 0.12/0.40 % Initial clauses : 34
% 0.12/0.40 % Removed in clause preprocessing : 3
% 0.12/0.40 % Initial clauses in saturation : 31
% 0.12/0.40 % Processed clauses : 90
% 0.12/0.40 % ...of these trivial : 1
% 0.12/0.40 % ...subsumed : 12
% 0.12/0.40 % ...remaining for further processing : 77
% 0.12/0.40 % Other redundant clauses eliminated : 0
% 0.12/0.40 % Clauses deleted for lack of memory : 0
% 0.12/0.40 % Backward-subsumed : 15
% 0.12/0.40 % Backward-rewritten : 0
% 0.12/0.40 % Generated clauses : 105
% 0.12/0.40 % ...of the previous two non-redundant : 90
% 0.12/0.40 % ...aggressively subsumed : 0
% 0.12/0.40 % Contextual simplify-reflections : 15
% 0.12/0.40 % Paramodulations : 103
% 0.12/0.40 % Factorizations : 0
% 0.12/0.40 % NegExts : 0
% 0.12/0.40 % Equation resolutions : 0
% 0.12/0.40 % Disequality decompositions : 0
% 0.12/0.40 % Total rewrite steps : 116
% 0.12/0.40 % ...of those cached : 112
% 0.12/0.40 % Propositional unsat checks : 0
% 0.12/0.40 % Propositional check models : 0
% 0.12/0.40 % Propositional check unsatisfiable : 0
% 0.12/0.40 % Propositional clauses : 0
% 0.12/0.40 % Propositional clauses after purity: 0
% 0.12/0.40 % Propositional unsat core size : 0
% 0.12/0.40 % Propositional preprocessing time : 0.000
% 0.12/0.40 % Propositional encoding time : 0.000
% 0.12/0.40 % Propositional solver time : 0.000
% 0.12/0.40 % Success case prop preproc time : 0.000
% 0.12/0.40 % Success case prop encoding time : 0.000
% 0.12/0.40 % Success case prop solver time : 0.000
% 0.12/0.40 % Current number of processed clauses : 60
% 0.12/0.40 % Positive orientable unit clauses : 7
% 0.12/0.40 % Positive unorientable unit clauses: 0
% 0.12/0.40 % Negative unit clauses : 3
% 0.12/0.40 % Non-unit-clauses : 50
% 0.12/0.40 % Current number of unprocessed clauses: 25
% 0.12/0.40 % ...number of literals in the above : 250
% 0.12/0.40 % Current number of archived formulas : 0
% 0.12/0.40 % Current number of archived clauses : 17
% 0.12/0.40 % Clause-clause subsumption calls (NU) : 950
% 0.12/0.40 % Rec. Clause-clause subsumption calls : 54
% 0.12/0.40 % Non-unit clause-clause subsumptions : 22
% 0.12/0.40 % Unit Clause-clause subsumption calls : 29
% 0.12/0.40 % Rewrite failures with RHS unbound : 0
% 0.12/0.40 % BW rewrite match attempts : 2
% 0.12/0.40 % BW rewrite match successes : 0
% 0.12/0.40 % Condensation attempts : 0
% 0.12/0.40 % Condensation successes : 0
% 0.12/0.40 % Termbank termtop insertions : 7172
% 0.12/0.40 % Search garbage collected termcells : 667
% 0.12/0.40
% 0.12/0.40 % -------------------------------------------------
% 0.12/0.40 % User time : 0.010 s
% 0.12/0.41 % System time : 0.003 s
% 0.12/0.41 % Total time : 0.013 s
% 0.12/0.41 % Maximum resident set size: 3640 pages
% 0.12/0.41
% 0.12/0.41 % -------------------------------------------------
% 0.12/0.41 % User time : 0.035 s
% 0.12/0.41 % System time : 0.011 s
% 0.12/0.41 % Total time : 0.046 s
% 0.12/0.41 % Maximum resident set size: 4608 pages
% 0.12/0.41 % E exiting
%------------------------------------------------------------------------------