%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU357+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 : n020.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 0.27s 0.55s
% Output : CNFRefutation 0.27s
% 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(t16_yellow_0,conjecture,
! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) )
& relstr_element_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(d8_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( ! [X5] :
( element(X5,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X5)
=> related(X1,X5,X4) ) )
& relstr_element_smaller(X1,X2,X4) )
=> X4 = X3 ) )
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) )
& relstr_element_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_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/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) )
& relstr_element_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) ) ) ),
inference(assume_negation,[status(cth)],[t16_yellow_0]) ).
fof(c_0_4,negated_conjecture,
! [X8,X11] :
( ( ex_inf_of_relstr_set(esk1_0,esk2_0)
| related(esk1_0,X11,esk4_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X11)
| ~ element(X11,the_carrier(esk1_0)) )
& ( ex_inf_of_relstr_set(esk1_0,esk2_0)
| relstr_element_smaller(esk1_0,esk2_0,esk4_0) )
& ( ex_inf_of_relstr_set(esk1_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0)) )
& ( ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X8)
| ~ element(X8,the_carrier(esk1_0))
| ~ related(esk1_0,esk3_1(X8),X8) )
& ( ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X8)
| ~ element(X8,the_carrier(esk1_0))
| relstr_element_smaller(esk1_0,esk2_0,esk3_1(X8)) )
& ( ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X8)
| ~ element(X8,the_carrier(esk1_0))
| element(esk3_1(X8),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_3])])])])])]) ).
fof(c_0_5,plain,
! [X12,X13,X15,X16,X18,X19,X22] :
( ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| ~ related(X12,esk7_3(X12,X18,X19),X19)
| esk8_3(X12,X18,X19) != X19 )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| ~ related(X12,esk7_3(X12,X18,X19),X19)
| related(X12,X22,esk8_3(X12,X18,X19))
| ~ relstr_element_smaller(X12,X18,X22)
| ~ element(X22,the_carrier(X12)) )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| ~ related(X12,esk7_3(X12,X18,X19),X19)
| relstr_element_smaller(X12,X18,esk8_3(X12,X18,X19)) )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| ~ related(X12,esk7_3(X12,X18,X19),X19)
| element(esk8_3(X12,X18,X19),the_carrier(X12)) )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| relstr_element_smaller(X12,X18,esk7_3(X12,X18,X19))
| esk8_3(X12,X18,X19) != X19 )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| relstr_element_smaller(X12,X18,esk7_3(X12,X18,X19))
| related(X12,X22,esk8_3(X12,X18,X19))
| ~ relstr_element_smaller(X12,X18,X22)
| ~ element(X22,the_carrier(X12)) )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| relstr_element_smaller(X12,X18,esk7_3(X12,X18,X19))
| relstr_element_smaller(X12,X18,esk8_3(X12,X18,X19)) )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| relstr_element_smaller(X12,X18,esk7_3(X12,X18,X19))
| element(esk8_3(X12,X18,X19),the_carrier(X12)) )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| element(esk7_3(X12,X18,X19),the_carrier(X12))
| esk8_3(X12,X18,X19) != X19 )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| element(esk7_3(X12,X18,X19),the_carrier(X12))
| related(X12,X22,esk8_3(X12,X18,X19))
| ~ relstr_element_smaller(X12,X18,X22)
| ~ element(X22,the_carrier(X12)) )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| element(esk7_3(X12,X18,X19),the_carrier(X12))
| relstr_element_smaller(X12,X18,esk8_3(X12,X18,X19)) )
& ( ~ rel_str(X12)
| ex_inf_of_relstr_set(X12,X18)
| ~ relstr_element_smaller(X12,X18,X19)
| ~ element(X19,the_carrier(X12))
| element(esk7_3(X12,X18,X19),the_carrier(X12))
| element(esk8_3(X12,X18,X19),the_carrier(X12)) )
& ( ~ rel_str(X12)
| ~ ex_inf_of_relstr_set(X12,X13)
| ~ element(X16,the_carrier(X12))
| X16 = esk5_2(X12,X13)
| ~ relstr_element_smaller(X12,X13,X16)
| ~ related(X12,esk6_3(X12,X13,X16),X16) )
& ( ~ rel_str(X12)
| ~ ex_inf_of_relstr_set(X12,X13)
| ~ element(X16,the_carrier(X12))
| X16 = esk5_2(X12,X13)
| ~ relstr_element_smaller(X12,X13,X16)
| relstr_element_smaller(X12,X13,esk6_3(X12,X13,X16)) )
& ( ~ rel_str(X12)
| ~ ex_inf_of_relstr_set(X12,X13)
| ~ element(X16,the_carrier(X12))
| X16 = esk5_2(X12,X13)
| ~ relstr_element_smaller(X12,X13,X16)
| element(esk6_3(X12,X13,X16),the_carrier(X12)) )
& ( ~ rel_str(X12)
| ~ ex_inf_of_relstr_set(X12,X13)
| related(X12,X15,esk5_2(X12,X13))
| ~ relstr_element_smaller(X12,X13,X15)
| ~ element(X15,the_carrier(X12)) )
& ( ~ rel_str(X12)
| ~ ex_inf_of_relstr_set(X12,X13)
| relstr_element_smaller(X12,X13,esk5_2(X12,X13)) )
& ( ~ rel_str(X12)
| ~ ex_inf_of_relstr_set(X12,X13)
| element(esk5_2(X12,X13),the_carrier(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(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_yellow_0])])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0))
| ~ related(esk1_0,esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ rel_str(X2)
| ~ ex_inf_of_relstr_set(X2,X3)
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| related(X2,X1,esk5_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0))
| element(esk3_1(X1),the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,X1)
| ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ element(esk5_2(esk1_0,X1),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,esk5_2(esk1_0,X1))
| ~ relstr_element_smaller(esk1_0,X1,esk3_1(esk5_2(esk1_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_inf_of_relstr_set(esk1_0,esk2_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0))
| relstr_element_smaller(esk1_0,esk2_0,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ element(esk5_2(esk1_0,esk2_0),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,esk5_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
( ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ element(esk5_2(esk1_0,esk2_0),the_carrier(esk1_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_inf_of_relstr_set(X1,X2)
| element(esk5_2(X1,X2),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
( ex_inf_of_relstr_set(esk1_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
~ ex_inf_of_relstr_set(esk1_0,esk2_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_element_smaller(X2,X3,X4)
| ~ element(X4,the_carrier(X2))
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ex_inf_of_relstr_set(X2,X3)
| relstr_element_smaller(X2,X3,esk7_3(X2,X3,X4))
| related(X2,X1,esk8_3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
element(esk4_0,the_carrier(esk1_0)),
inference(sr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk7_3(X1,X2,X3),X3)
| esk8_3(X1,X2,X3) != X3
| ex_inf_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0))
| ex_inf_of_relstr_set(esk1_0,esk2_0)
| related(esk1_0,X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( ex_inf_of_relstr_set(esk1_0,esk2_0)
| relstr_element_smaller(esk1_0,esk2_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_23,plain,
! [X23,X24,X25] :
( X24 = X25
| ~ related(X23,X25,X24)
| ~ related(X23,X24,X25)
| ~ element(X25,the_carrier(X23))
| ~ element(X24,the_carrier(X23))
| ~ rel_str(X23)
| ~ antisymmetric_relstr(X23) ),
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(X1,the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,X2,X1)
| ~ relstr_element_smaller(esk1_0,X2,esk4_0)
| ex_inf_of_relstr_set(esk1_0,X2)
| relstr_element_smaller(esk1_0,X2,esk7_3(esk1_0,X2,esk4_0))
| related(esk1_0,X1,esk8_3(esk1_0,X2,esk4_0)) ),
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(esk7_3(esk1_0,X1,esk4_0),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,X1,esk4_0))
| esk8_3(esk1_0,X1,esk4_0) != esk4_0
| ex_inf_of_relstr_set(esk1_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_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| esk8_3(X1,X2,X3) != X3
| ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,negated_conjecture,
relstr_element_smaller(esk1_0,esk2_0,esk4_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(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,negated_conjecture,
( ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ex_inf_of_relstr_set(esk1_0,X1)
| relstr_element_smaller(esk1_0,X1,esk7_3(esk1_0,X1,esk4_0))
| related(esk1_0,esk4_0,esk8_3(esk1_0,X1,esk4_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_31,negated_conjecture,
( ~ element(esk7_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_0))
| esk8_3(esk1_0,esk2_0,esk4_0) != esk4_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_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| esk8_3(X1,X2,X3) != X3
| ex_inf_of_relstr_set(X1,X2)
| element(esk7_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(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ related(esk1_0,esk4_0,X1)
| ex_inf_of_relstr_set(esk1_0,esk2_0)
| esk4_0 = X1 ),
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_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,esk2_0,esk4_0))
| related(esk1_0,esk4_0,esk8_3(esk1_0,esk2_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_17]) ).
cnf(c_0_35,negated_conjecture,
esk8_3(esk1_0,esk2_0,esk4_0) != esk4_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_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk7_3(X1,X2,X3),X3)
| ex_inf_of_relstr_set(X1,X2)
| element(esk8_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_37,plain,
( ~ rel_str(X2)
| ~ relstr_element_smaller(X2,X3,X4)
| ~ element(X4,the_carrier(X2))
| ~ related(X2,esk7_3(X2,X3,X4),X4)
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ex_inf_of_relstr_set(X2,X3)
| related(X2,X1,esk8_3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,plain,
( ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk7_3(X1,X2,X3),X3)
| ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk8_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_39,negated_conjecture,
( ~ element(esk8_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,esk8_3(esk1_0,esk2_0,esk4_0))
| relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,esk2_0,esk4_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_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk7_3(X1,X2,X3))
| relstr_element_smaller(X1,X2,esk8_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_41,negated_conjecture,
( ~ element(esk7_3(esk1_0,X1,esk4_0),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,X1,esk4_0))
| ex_inf_of_relstr_set(esk1_0,X1)
| element(esk8_3(esk1_0,X1,esk4_0),the_carrier(esk1_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_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk7_3(X1,X2,X3))
| element(esk8_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_43,negated_conjecture,
( ~ element(X1,the_carrier(esk1_0))
| ~ element(esk7_3(esk1_0,X2,esk4_0),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,X2,X1)
| ~ relstr_element_smaller(esk1_0,X2,esk4_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,X2,esk4_0))
| ex_inf_of_relstr_set(esk1_0,X2)
| related(esk1_0,X1,esk8_3(esk1_0,X2,esk4_0)) ),
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(esk7_3(esk1_0,X1,esk4_0),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,X1,esk4_0))
| ex_inf_of_relstr_set(esk1_0,X1)
| relstr_element_smaller(esk1_0,X1,esk8_3(esk1_0,X1,esk4_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(esk8_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_0))
| relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,esk2_0,esk4_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(esk7_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_0))
| element(esk8_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_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_element_smaller(X2,X3,X4)
| ~ element(X4,the_carrier(X2))
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ex_inf_of_relstr_set(X2,X3)
| element(esk7_3(X2,X3,X4),the_carrier(X2))
| related(X2,X1,esk8_3(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_48,negated_conjecture,
( ~ element(esk7_3(esk1_0,X1,esk4_0),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,X1,esk4_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,esk8_3(esk1_0,X1,esk4_0))
| ex_inf_of_relstr_set(esk1_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(esk7_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_0))
| relstr_element_smaller(esk1_0,esk2_0,esk8_3(esk1_0,esk2_0,esk4_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(esk1_0))
| ~ element(esk8_3(esk1_0,X1,X2),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,X1,X2)
| ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk8_3(esk1_0,X1,X2))
| ex_inf_of_relstr_set(esk1_0,X1)
| element(esk7_3(esk1_0,X1,X2),the_carrier(esk1_0))
| esk8_3(esk1_0,X1,X2) = esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[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_17]),c_0_19])]) ).
cnf(c_0_51,plain,
( ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| element(esk7_3(X1,X2,X3),the_carrier(X1))
| relstr_element_smaller(X1,X2,esk8_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_52,negated_conjecture,
( ~ element(esk7_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,esk2_0,esk4_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(esk1_0))
| ~ element(esk8_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| element(esk7_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| esk8_3(esk1_0,esk2_0,X1) = esk4_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_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| element(esk7_3(X1,X2,X3),the_carrier(X1))
| element(esk8_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_55,negated_conjecture,
~ element(esk7_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_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(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| element(esk7_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| esk8_3(esk1_0,esk2_0,X1) = esk4_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
% 0.00/0.05 % Problem : SEU357+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.44 % Computer : n020.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 06:16:17 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.52 Running first-order theorem proving
% 0.27/0.52 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
% 0.27/0.55 % Version: 3.5.1
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.55 % Starting sh5l with 300s (1) cores
% 0.27/0.55 % new_bool_1 with pid 2182071 completed with status 0
% 0.27/0.55 % Result found by new_bool_1
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.55 % Search class: FGHSF-FFMS32-SFFFFFNN
% 0.27/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.55 % SubtermCWHack with pid 2182076 completed with status 0
% 0.27/0.55 % Result found by SubtermCWHack
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.55 % Search class: FGHSF-FFMS32-SFFFFFNN
% 0.27/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.55 % Preprocessing time : 0.001 s
% 0.27/0.55
% 0.27/0.55 % Proof found!
% 0.27/0.55 % SZS status Theorem
% 0.27/0.55 % SZS output start CNFRefutation
% See solution above
% 0.27/0.56 % Parsed axioms : 10
% 0.27/0.56 % Removed by relevancy pruning/SinE : 5
% 0.27/0.56 % Initial clauses : 29
% 0.27/0.56 % Removed in clause preprocessing : 0
% 0.27/0.56 % Initial clauses in saturation : 29
% 0.27/0.56 % Processed clauses : 79
% 0.27/0.56 % ...of these trivial : 0
% 0.27/0.56 % ...subsumed : 11
% 0.27/0.56 % ...remaining for further processing : 68
% 0.27/0.56 % Other redundant clauses eliminated : 0
% 0.27/0.56 % Clauses deleted for lack of memory : 0
% 0.27/0.56 % Backward-subsumed : 15
% 0.27/0.56 % Backward-rewritten : 0
% 0.27/0.56 % Generated clauses : 89
% 0.27/0.56 % ...of the previous two non-redundant : 79
% 0.27/0.56 % ...aggressively subsumed : 0
% 0.27/0.56 % Contextual simplify-reflections : 12
% 0.27/0.56 % Paramodulations : 87
% 0.27/0.56 % Factorizations : 0
% 0.27/0.56 % NegExts : 0
% 0.27/0.56 % Equation resolutions : 0
% 0.27/0.56 % Disequality decompositions : 0
% 0.27/0.56 % Total rewrite steps : 104
% 0.27/0.56 % ...of those cached : 100
% 0.27/0.56 % Propositional unsat checks : 0
% 0.27/0.56 % Propositional check models : 0
% 0.27/0.56 % Propositional check unsatisfiable : 0
% 0.27/0.56 % Propositional clauses : 0
% 0.27/0.56 % Propositional clauses after purity: 0
% 0.27/0.56 % Propositional unsat core size : 0
% 0.27/0.56 % Propositional preprocessing time : 0.000
% 0.27/0.56 % Propositional encoding time : 0.000
% 0.27/0.56 % Propositional solver time : 0.000
% 0.27/0.56 % Success case prop preproc time : 0.000
% 0.27/0.56 % Success case prop encoding time : 0.000
% 0.27/0.56 % Success case prop solver time : 0.000
% 0.27/0.56 % Current number of processed clauses : 51
% 0.27/0.56 % Positive orientable unit clauses : 6
% 0.27/0.56 % Positive unorientable unit clauses: 0
% 0.27/0.56 % Negative unit clauses : 3
% 0.27/0.56 % Non-unit-clauses : 42
% 0.27/0.56 % Current number of unprocessed clauses: 24
% 0.27/0.56 % ...number of literals in the above : 243
% 0.27/0.56 % Current number of archived formulas : 0
% 0.27/0.56 % Current number of archived clauses : 17
% 0.27/0.56 % Clause-clause subsumption calls (NU) : 539
% 0.27/0.56 % Rec. Clause-clause subsumption calls : 37
% 0.27/0.56 % Non-unit clause-clause subsumptions : 19
% 0.27/0.56 % Unit Clause-clause subsumption calls : 29
% 0.27/0.56 % Rewrite failures with RHS unbound : 0
% 0.27/0.56 % BW rewrite match attempts : 2
% 0.27/0.56 % BW rewrite match successes : 0
% 0.27/0.56 % Condensation attempts : 0
% 0.27/0.56 % Condensation successes : 0
% 0.27/0.56 % Termbank termtop insertions : 6151
% 0.27/0.56 % Search garbage collected termcells : 663
% 0.27/0.56
% 0.27/0.56 % -------------------------------------------------
% 0.27/0.56 % User time : 0.013 s
% 0.27/0.56 % System time : 0.002 s
% 0.27/0.56 % Total time : 0.015 s
% 0.27/0.56 % Maximum resident set size: 3640 pages
% 0.27/0.56
% 0.27/0.56 % -------------------------------------------------
% 0.27/0.56 % User time : 0.017 s
% 0.27/0.56 % System time : 0.006 s
% 0.27/0.56 % Total time : 0.023 s
% 0.27/0.56 % Maximum resident set size: 4864 pages
% 0.27/0.56 % E exiting
%------------------------------------------------------------------------------