TSTP Solution File: SEU357+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:19:19 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 55 ( 7 unt; 0 def)
% Number of atoms : 395 ( 28 equ)
% Maximal formula atoms : 107 ( 7 avg)
% Number of connectives : 578 ( 238 ~; 284 |; 36 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 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 : 107 ( 1 sgn 26 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t16_yellow_0,conjecture,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_element_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t16_yellow_0) ).
fof(d8_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_element_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) )
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( relstr_element_smaller(X1,X2,X4)
& ! [X5] :
( element(X5,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X5)
=> related(X1,X5,X4) ) ) )
=> X4 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_yellow_0) ).
fof(t25_orders_2,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( related(X1,X2,X3)
& related(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t25_orders_2) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_element_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t16_yellow_0]) ).
fof(c_0_4,negated_conjecture,
! [X7,X10] :
( antisymmetric_relstr(esk1_0)
& rel_str(esk1_0)
& ( element(esk3_1(X7),the_carrier(esk1_0))
| ~ element(X7,the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X7)
| ~ ex_inf_of_relstr_set(esk1_0,esk2_0) )
& ( relstr_element_smaller(esk1_0,esk2_0,esk3_1(X7))
| ~ element(X7,the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X7)
| ~ ex_inf_of_relstr_set(esk1_0,esk2_0) )
& ( ~ related(esk1_0,esk3_1(X7),X7)
| ~ element(X7,the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X7)
| ~ 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,esk4_0)
| ex_inf_of_relstr_set(esk1_0,esk2_0) )
& ( ~ element(X10,the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X10)
| related(esk1_0,X10,esk4_0)
| ex_inf_of_relstr_set(esk1_0,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
fof(c_0_5,plain,
! [X6,X7,X9,X10,X7,X12,X15] :
( ( element(esk5_2(X6,X7),the_carrier(X6))
| ~ ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( relstr_element_smaller(X6,X7,esk5_2(X6,X7))
| ~ ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( ~ element(X9,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X9)
| related(X6,X9,esk5_2(X6,X7))
| ~ ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( element(esk6_3(X6,X7,X10),the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X10)
| X10 = esk5_2(X6,X7)
| ~ element(X10,the_carrier(X6))
| ~ ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( relstr_element_smaller(X6,X7,esk6_3(X6,X7,X10))
| ~ relstr_element_smaller(X6,X7,X10)
| X10 = esk5_2(X6,X7)
| ~ element(X10,the_carrier(X6))
| ~ ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( ~ related(X6,esk6_3(X6,X7,X10),X10)
| ~ relstr_element_smaller(X6,X7,X10)
| X10 = esk5_2(X6,X7)
| ~ element(X10,the_carrier(X6))
| ~ ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( element(esk8_3(X6,X7,X12),the_carrier(X6))
| element(esk7_3(X6,X7,X12),the_carrier(X6))
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( relstr_element_smaller(X6,X7,esk8_3(X6,X7,X12))
| element(esk7_3(X6,X7,X12),the_carrier(X6))
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( ~ element(X15,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X15)
| related(X6,X15,esk8_3(X6,X7,X12))
| element(esk7_3(X6,X7,X12),the_carrier(X6))
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( esk8_3(X6,X7,X12) != X12
| element(esk7_3(X6,X7,X12),the_carrier(X6))
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( element(esk8_3(X6,X7,X12),the_carrier(X6))
| relstr_element_smaller(X6,X7,esk7_3(X6,X7,X12))
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( relstr_element_smaller(X6,X7,esk8_3(X6,X7,X12))
| relstr_element_smaller(X6,X7,esk7_3(X6,X7,X12))
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( ~ element(X15,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X15)
| related(X6,X15,esk8_3(X6,X7,X12))
| relstr_element_smaller(X6,X7,esk7_3(X6,X7,X12))
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( esk8_3(X6,X7,X12) != X12
| relstr_element_smaller(X6,X7,esk7_3(X6,X7,X12))
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( element(esk8_3(X6,X7,X12),the_carrier(X6))
| ~ related(X6,esk7_3(X6,X7,X12),X12)
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( relstr_element_smaller(X6,X7,esk8_3(X6,X7,X12))
| ~ related(X6,esk7_3(X6,X7,X12),X12)
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( ~ element(X15,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X15)
| related(X6,X15,esk8_3(X6,X7,X12))
| ~ related(X6,esk7_3(X6,X7,X12),X12)
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) )
& ( esk8_3(X6,X7,X12) != X12
| ~ related(X6,esk7_3(X6,X7,X12),X12)
| ~ element(X12,the_carrier(X6))
| ~ relstr_element_smaller(X6,X7,X12)
| ex_inf_of_relstr_set(X6,X7)
| ~ rel_str(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[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,
( related(X1,X3,esk5_2(X1,X2))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
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,
( element(esk3_1(X1),the_carrier(esk1_0))
| ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ relstr_element_smaller(esk1_0,X1,esk3_1(esk5_2(esk1_0,X1)))
| ~ relstr_element_smaller(esk1_0,esk2_0,esk5_2(esk1_0,X1))
| ~ element(esk5_2(esk1_0,X1),the_carrier(esk1_0))
| ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ ex_inf_of_relstr_set(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,
( relstr_element_smaller(esk1_0,esk2_0,esk3_1(X1))
| ~ ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( ~ relstr_element_smaller(esk1_0,esk2_0,esk5_2(esk1_0,esk2_0))
| ~ element(esk5_2(esk1_0,esk2_0),the_carrier(esk1_0))
| ~ ex_inf_of_relstr_set(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
( relstr_element_smaller(X1,X2,esk5_2(X1,X2))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
! [X4,X5,X6] :
( ~ antisymmetric_relstr(X4)
| ~ rel_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| ~ related(X4,X5,X6)
| ~ related(X4,X6,X5)
| X5 = X6 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_orders_2])])])])]) ).
cnf(c_0_15,negated_conjecture,
( ~ element(esk5_2(esk1_0,esk2_0),the_carrier(esk1_0))
| ~ ex_inf_of_relstr_set(esk1_0,esk2_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_16,plain,
( element(esk5_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( X1 = X2
| ~ related(X3,X2,X1)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ex_inf_of_relstr_set(esk1_0,esk2_0)
| related(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,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_21,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_15,c_0_16]),c_0_8])]) ).
cnf(c_0_22,negated_conjecture,
( esk4_0 = X1
| ex_inf_of_relstr_set(esk1_0,esk2_0)
| ~ related(esk1_0,esk4_0,X1)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[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_8])]),c_0_20]) ).
cnf(c_0_23,plain,
( ex_inf_of_relstr_set(X1,X2)
| related(X1,X4,esk8_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk7_3(X1,X2,X3),X3)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
element(esk4_0,the_carrier(esk1_0)),
inference(sr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,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]) ).
cnf(c_0_26,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk7_3(X1,X2,X3))
| related(X1,X4,esk8_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,plain,
( 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))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,negated_conjecture,
( esk8_3(esk1_0,X1,X2) = esk4_0
| ex_inf_of_relstr_set(esk1_0,X1)
| ~ related(esk1_0,esk7_3(esk1_0,X1,X2),X2)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk8_3(esk1_0,X1,X2))
| ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,X1,X2)
| ~ element(esk8_3(esk1_0,X1,X2),the_carrier(esk1_0))
| ~ element(X2,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_22,c_0_23]),c_0_8])]),c_0_24])]),c_0_21]) ).
cnf(c_0_29,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk8_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk7_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_30,negated_conjecture,
relstr_element_smaller(esk1_0,esk2_0,esk4_0),
inference(sr,[status(thm)],[c_0_25,c_0_21]) ).
cnf(c_0_31,plain,
( esk8_3(X1,X2,X3) = X4
| relstr_element_smaller(X1,X2,esk7_3(X1,X2,X3))
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ related(X1,esk8_3(X1,X2,X3),X4)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk7_3(X1,X2,X3),the_carrier(X1))
| related(X1,X4,esk8_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_33,plain,
( 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))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_34,negated_conjecture,
( esk8_3(esk1_0,esk2_0,X1) = esk4_0
| ~ related(esk1_0,esk7_3(esk1_0,esk2_0,X1),X1)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(esk8_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_8])]),c_0_21]) ).
cnf(c_0_35,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk8_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk7_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_36,negated_conjecture,
( esk8_3(esk1_0,X1,X2) = esk4_0
| relstr_element_smaller(esk1_0,X1,esk7_3(esk1_0,X1,X2))
| ex_inf_of_relstr_set(esk1_0,X1)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk8_3(esk1_0,X1,X2))
| ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,X1,X2)
| ~ element(esk8_3(esk1_0,X1,X2),the_carrier(esk1_0))
| ~ element(X2,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_31,c_0_18]),c_0_19]),c_0_24]),c_0_8])]),c_0_21]) ).
cnf(c_0_37,plain,
( 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))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,plain,
( esk8_3(X1,X2,X3) = X4
| element(esk7_3(X1,X2,X3),the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ related(X1,esk8_3(X1,X2,X3),X4)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_32]),c_0_33]) ).
cnf(c_0_39,plain,
( ex_inf_of_relstr_set(X1,X2)
| ~ 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 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_40,negated_conjecture,
( esk8_3(esk1_0,esk2_0,X1) = esk4_0
| ~ related(esk1_0,esk7_3(esk1_0,esk2_0,X1),X1)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_8])]),c_0_21]) ).
cnf(c_0_41,negated_conjecture,
( esk8_3(esk1_0,esk2_0,X1) = esk4_0
| relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,esk2_0,X1))
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(esk8_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_30]),c_0_8])]),c_0_21]) ).
cnf(c_0_42,negated_conjecture,
( esk8_3(esk1_0,X1,X2) = esk4_0
| element(esk7_3(esk1_0,X1,X2),the_carrier(esk1_0))
| ex_inf_of_relstr_set(esk1_0,X1)
| ~ relstr_element_smaller(esk1_0,esk2_0,esk8_3(esk1_0,X1,X2))
| ~ relstr_element_smaller(esk1_0,X1,esk4_0)
| ~ relstr_element_smaller(esk1_0,X1,X2)
| ~ element(esk8_3(esk1_0,X1,X2),the_carrier(esk1_0))
| ~ element(X2,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_38,c_0_18]),c_0_19]),c_0_24]),c_0_8])]),c_0_21]) ).
cnf(c_0_43,plain,
( 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))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_44,negated_conjecture,
( esk4_0 != X1
| ~ related(esk1_0,esk7_3(esk1_0,esk2_0,X1),X1)
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_8])]),c_0_21]) ).
cnf(c_0_45,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk7_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| esk8_3(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_46,negated_conjecture,
( esk8_3(esk1_0,esk2_0,X1) = esk4_0
| relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,esk2_0,X1))
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_27]),c_0_8])]),c_0_21]) ).
cnf(c_0_47,negated_conjecture,
( esk8_3(esk1_0,esk2_0,X1) = esk4_0
| element(esk7_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(esk8_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_30]),c_0_8])]),c_0_21]) ).
cnf(c_0_48,negated_conjecture,
( ~ relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,esk2_0,esk4_0))
| ~ element(esk7_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(spm,[status(thm)],[c_0_44,c_0_18]),c_0_30]),c_0_24])]),c_0_21]) ).
cnf(c_0_49,negated_conjecture,
( relstr_element_smaller(esk1_0,esk2_0,esk7_3(esk1_0,esk2_0,X1))
| esk4_0 != X1
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_8])]),c_0_21]) ).
cnf(c_0_50,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk7_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| esk8_3(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_51,negated_conjecture,
( esk8_3(esk1_0,esk2_0,X1) = esk4_0
| element(esk7_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_33]),c_0_8])]),c_0_21]) ).
cnf(c_0_52,negated_conjecture,
~ element(esk7_3(esk1_0,esk2_0,esk4_0),the_carrier(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_30]),c_0_24])]) ).
cnf(c_0_53,negated_conjecture,
( element(esk7_3(esk1_0,esk2_0,X1),the_carrier(esk1_0))
| esk4_0 != X1
| ~ relstr_element_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_8])]),c_0_21]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_30]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 11:30:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.016 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 55
% 0.22/1.40 # Proof object clause steps : 48
% 0.22/1.40 # Proof object formula steps : 7
% 0.22/1.40 # Proof object conjectures : 33
% 0.22/1.40 # Proof object clause conjectures : 30
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 24
% 0.22/1.40 # Proof object initial formulas used : 3
% 0.22/1.40 # Proof object generating inferences : 22
% 0.22/1.40 # Proof object simplifying inferences : 70
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 10
% 0.22/1.40 # Removed by relevancy pruning/SinE : 5
% 0.22/1.40 # Initial clauses : 29
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 29
% 0.22/1.40 # Processed clauses : 91
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 21
% 0.22/1.40 # ...remaining for further processing : 70
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 6
% 0.22/1.40 # Backward-rewritten : 1
% 0.22/1.40 # Generated clauses : 163
% 0.22/1.40 # ...of the previous two non-trivial : 137
% 0.22/1.40 # Contextual simplify-reflections : 40
% 0.22/1.40 # Paramodulations : 161
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 61
% 0.22/1.40 # Positive orientable unit clauses : 6
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 2
% 0.22/1.40 # Non-unit-clauses : 53
% 0.22/1.40 # Current number of unprocessed clauses: 64
% 0.22/1.40 # ...number of literals in the above : 627
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 9
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 1527
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 89
% 0.22/1.40 # Non-unit clause-clause subsumptions : 62
% 0.22/1.40 # Unit Clause-clause subsumption calls : 38
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 5
% 0.22/1.40 # BW rewrite match successes : 1
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 9610
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.034 s
% 0.22/1.40 # System time : 0.001 s
% 0.22/1.40 # Total time : 0.035 s
% 0.22/1.40 # Maximum resident set size: 3016 pages
%------------------------------------------------------------------------------