TSTP Solution File: SEU359+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU359+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 09:19:21 EDT 2022
% Result : Theorem 0.30s 1.47s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 115 ( 17 unt; 0 def)
% Number of atoms : 497 ( 69 equ)
% Maximal formula atoms : 57 ( 4 avg)
% Number of connectives : 624 ( 242 ~; 307 |; 44 &)
% ( 2 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 105 ( 3 sgn 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t30_yellow_0,conjecture,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) )
=> ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) ) )
& ( ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) )
=> ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/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)
<=> ( relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d9_yellow_0) ).
fof(t15_yellow_0,lemma,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_sup_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t15_yellow_0) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( rel_str(X1)
=> element(join_on_relstr(X1,X2),the_carrier(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k1_yellow_0) ).
fof(t25_orders_2,lemma,
! [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',t25_orders_2) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) )
=> ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) ) )
& ( ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) )
=> ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t30_yellow_0]) ).
fof(c_0_6,plain,
! [X5,X6,X7,X8] :
( ( relstr_set_smaller(X5,X6,X7)
| X7 != join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,X7,X8)
| X7 != join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( element(esk10_3(X5,X6,X7),the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X7)
| X7 = join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk10_3(X5,X6,X7))
| ~ relstr_set_smaller(X5,X6,X7)
| X7 = join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( ~ related(X5,X7,esk10_3(X5,X6,X7))
| ~ relstr_set_smaller(X5,X6,X7)
| X7 = join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) ) ),
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)],[d9_yellow_0])])])])])])]) ).
fof(c_0_7,negated_conjecture,
! [X9] :
( antisymmetric_relstr(esk1_0)
& rel_str(esk1_0)
& element(esk2_0,the_carrier(esk1_0))
& ( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| esk2_0 = join_on_relstr(esk1_0,esk3_0) )
& ( ~ element(X9,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk5_0,X9)
| related(esk1_0,esk2_0,X9)
| esk2_0 = join_on_relstr(esk1_0,esk3_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk5_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| esk2_0 = join_on_relstr(esk1_0,esk3_0) )
& ( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| ex_sup_of_relstr_set(esk1_0,esk3_0) )
& ( ~ element(X9,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk5_0,X9)
| related(esk1_0,esk2_0,X9)
| ex_sup_of_relstr_set(esk1_0,esk3_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk5_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| ex_sup_of_relstr_set(esk1_0,esk3_0) )
& ( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ~ element(X9,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk5_0,X9)
| related(esk1_0,esk2_0,X9)
| element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk5_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ~ element(X9,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk5_0,X9)
| related(esk1_0,esk2_0,X9)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk5_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ~ element(X9,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk5_0,X9)
| related(esk1_0,esk2_0,X9)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk5_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_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_5])])])])])])]) ).
cnf(c_0_8,plain,
( relstr_set_smaller(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| X2 != join_on_relstr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
element(esk2_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( relstr_set_smaller(esk1_0,X1,esk2_0)
| join_on_relstr(esk1_0,X1) != esk2_0
| ~ ex_sup_of_relstr_set(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_12,negated_conjecture,
( esk2_0 = join_on_relstr(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk5_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk5_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( element(esk4_0,the_carrier(esk1_0))
| relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,plain,
( related(X1,X2,X4)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| X2 != join_on_relstr(X1,X3)
| ~ relstr_set_smaller(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_19,lemma,
! [X5,X6,X8,X6,X9] :
( ( element(esk11_2(X5,X6),the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk11_2(X5,X6))
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,esk11_2(X5,X6),X8)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( element(esk12_3(X5,X6,X9),the_carrier(X5))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk12_3(X5,X6,X9))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ related(X5,X9,esk12_3(X5,X6,X9))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) ) ),
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)],[t15_yellow_0])])])])])])]) ).
cnf(c_0_20,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| related(esk1_0,X1,esk4_0)
| X1 != join_on_relstr(esk1_0,X2)
| ~ relstr_set_smaller(esk1_0,X2,esk4_0)
| ~ ex_sup_of_relstr_set(esk1_0,X2)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_10])]) ).
cnf(c_0_21,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| relstr_set_smaller(esk1_0,esk5_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,lemma,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk12_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| related(esk1_0,X1,esk4_0)
| X1 != join_on_relstr(esk1_0,esk3_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_13]) ).
cnf(c_0_26,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_27,lemma,
( ex_sup_of_relstr_set(X1,X2)
| element(esk12_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
( relstr_set_smaller(esk1_0,X1,esk12_3(esk1_0,X1,esk2_0))
| ex_sup_of_relstr_set(esk1_0,X1)
| ~ relstr_set_smaller(esk1_0,X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_9]),c_0_24]),c_0_10])]) ).
cnf(c_0_29,negated_conjecture,
relstr_set_smaller(esk1_0,esk5_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_9]),c_0_12]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,X1)
| element(esk12_3(esk1_0,X1,esk2_0),the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_9]),c_0_24]),c_0_10])]) ).
cnf(c_0_31,negated_conjecture,
( esk2_0 = join_on_relstr(esk1_0,esk3_0)
| related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_0,esk12_3(esk1_0,esk5_0,esk2_0))
| ex_sup_of_relstr_set(esk1_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| element(esk12_3(esk1_0,esk5_0,esk2_0),the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_34,lemma,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk12_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_35,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,esk12_3(esk1_0,esk5_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37,lemma,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| ex_sup_of_relstr_set(esk1_0,esk5_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_34,c_0_35]),c_0_29]),c_0_24]),c_0_9]),c_0_10])]) ).
cnf(c_0_38,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| ex_sup_of_relstr_set(esk1_0,esk3_0)
| related(esk1_0,esk2_0,esk12_3(esk1_0,esk5_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ex_sup_of_relstr_set(esk1_0,esk5_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_37]) ).
cnf(c_0_40,lemma,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| ex_sup_of_relstr_set(esk1_0,esk5_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_34,c_0_38]),c_0_29]),c_0_24]),c_0_9]),c_0_10])]) ).
cnf(c_0_41,negated_conjecture,
( element(esk4_0,the_carrier(esk1_0))
| related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_42,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ex_sup_of_relstr_set(esk1_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,X1)
| element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_44,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_45,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,esk12_3(esk1_0,esk5_0,esk2_0))
| element(esk4_0,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_33]) ).
cnf(c_0_46,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_42]) ).
cnf(c_0_47,lemma,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| element(esk4_0,the_carrier(esk1_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_34,c_0_45]),c_0_29]),c_0_24]),c_0_9]),c_0_10])]) ).
cnf(c_0_48,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,esk12_3(esk1_0,esk5_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_32]),c_0_33]) ).
cnf(c_0_49,lemma,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,X1,esk4_0)
| X1 != join_on_relstr(esk1_0,X2)
| ~ relstr_set_smaller(esk1_0,X2,esk4_0)
| ~ ex_sup_of_relstr_set(esk1_0,X2)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_47]),c_0_10])]) ).
cnf(c_0_50,lemma,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ex_sup_of_relstr_set(esk1_0,esk5_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_34,c_0_48]),c_0_29]),c_0_24]),c_0_9]),c_0_10])]) ).
cnf(c_0_51,negated_conjecture,
( related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_52,lemma,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,X1,esk4_0)
| X1 != join_on_relstr(esk1_0,esk3_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_40]) ).
cnf(c_0_53,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_42]) ).
cnf(c_0_54,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_9]),c_0_37]) ).
cnf(c_0_55,plain,
( X2 = join_on_relstr(X1,X3)
| relstr_set_smaller(X1,X3,esk10_3(X1,X3,X2))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ relstr_set_smaller(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_56,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( join_on_relstr(esk1_0,X1) = esk2_0
| relstr_set_smaller(esk1_0,X1,esk10_3(esk1_0,X1,esk2_0))
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ ex_sup_of_relstr_set(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_9]),c_0_10])]) ).
cnf(c_0_58,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk5_0)
| related(esk1_0,esk2_0,esk12_3(esk1_0,esk5_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_32]),c_0_33]) ).
cnf(c_0_59,plain,
( X2 = join_on_relstr(X1,X3)
| element(esk10_3(X1,X3,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ relstr_set_smaller(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_60,negated_conjecture,
( join_on_relstr(esk1_0,esk5_0) = esk2_0
| relstr_set_smaller(esk1_0,esk5_0,esk10_3(esk1_0,esk5_0,esk2_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_29]) ).
cnf(c_0_61,lemma,
ex_sup_of_relstr_set(esk1_0,esk5_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_34,c_0_58]),c_0_29]),c_0_24]),c_0_9]),c_0_10])]) ).
cnf(c_0_62,negated_conjecture,
( esk2_0 = join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| esk2_0 != join_on_relstr(esk1_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_63,negated_conjecture,
( join_on_relstr(esk1_0,X1) = esk2_0
| element(esk10_3(esk1_0,X1,esk2_0),the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,X1,esk2_0)
| ~ ex_sup_of_relstr_set(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_9]),c_0_10])]) ).
cnf(c_0_64,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| esk2_0 != join_on_relstr(esk1_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_65,negated_conjecture,
( join_on_relstr(esk1_0,esk5_0) = esk2_0
| relstr_set_smaller(esk1_0,esk5_0,esk10_3(esk1_0,esk5_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_66,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| join_on_relstr(esk1_0,esk5_0) != esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_61])]) ).
cnf(c_0_67,negated_conjecture,
( join_on_relstr(esk1_0,esk5_0) = esk2_0
| element(esk10_3(esk1_0,esk5_0,esk2_0),the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_29]) ).
cnf(c_0_68,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| join_on_relstr(esk1_0,esk5_0) != esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_61])]) ).
cnf(c_0_69,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| related(esk1_0,esk2_0,esk10_3(esk1_0,esk5_0,esk2_0))
| ~ element(esk10_3(esk1_0,esk5_0,esk2_0),the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_65]),c_0_66]) ).
cnf(c_0_70,negated_conjecture,
( join_on_relstr(esk1_0,esk5_0) = esk2_0
| element(esk10_3(esk1_0,esk5_0,esk2_0),the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_61])]) ).
cnf(c_0_71,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| related(esk1_0,esk2_0,esk10_3(esk1_0,esk5_0,esk2_0))
| ~ element(esk10_3(esk1_0,esk5_0,esk2_0),the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_65]),c_0_68]) ).
cnf(c_0_72,plain,
( X2 = join_on_relstr(X1,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ relstr_set_smaller(X1,X3,X2)
| ~ related(X1,X2,esk10_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_73,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| related(esk1_0,esk2_0,esk10_3(esk1_0,esk5_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| related(esk1_0,esk2_0,esk10_3(esk1_0,esk5_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_70]),c_0_68]) ).
cnf(c_0_75,negated_conjecture,
join_on_relstr(esk1_0,esk3_0) = esk2_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_72,c_0_73]),c_0_29]),c_0_61]),c_0_9]),c_0_10])]),c_0_66]) ).
cnf(c_0_76,negated_conjecture,
ex_sup_of_relstr_set(esk1_0,esk3_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_72,c_0_74]),c_0_29]),c_0_61]),c_0_9]),c_0_10])]),c_0_68]) ).
cnf(c_0_77,negated_conjecture,
( element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| esk2_0 != join_on_relstr(esk1_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_78,negated_conjecture,
relstr_set_smaller(esk1_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_75]),c_0_76])]) ).
cnf(c_0_79,negated_conjecture,
( element(esk4_0,the_carrier(esk1_0))
| join_on_relstr(esk1_0,esk5_0) != esk2_0
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_61])]) ).
cnf(c_0_80,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| esk2_0 != join_on_relstr(esk1_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_81,negated_conjecture,
( related(esk1_0,esk2_0,X1)
| element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_78])]) ).
cnf(c_0_82,negated_conjecture,
( element(esk4_0,the_carrier(esk1_0))
| join_on_relstr(esk1_0,esk5_0) != esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_78])]) ).
cnf(c_0_83,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| join_on_relstr(esk1_0,esk5_0) != esk2_0
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_61])]) ).
cnf(c_0_84,negated_conjecture,
( related(esk1_0,esk2_0,esk10_3(esk1_0,esk5_0,esk2_0))
| element(esk4_0,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_65]),c_0_70]),c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_78])]) ).
cnf(c_0_86,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| join_on_relstr(esk1_0,esk5_0) != esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_78])]) ).
fof(c_0_87,plain,
! [X3,X4] :
( ~ rel_str(X3)
| element(join_on_relstr(X3,X4),the_carrier(X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])])])]) ).
cnf(c_0_88,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_72,c_0_84]),c_0_29]),c_0_61]),c_0_9]),c_0_10])]),c_0_82]) ).
cnf(c_0_89,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| related(esk1_0,esk2_0,esk10_3(esk1_0,esk5_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_65]),c_0_70]),c_0_86]) ).
cnf(c_0_90,plain,
( element(join_on_relstr(X1,X2),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_91,negated_conjecture,
( related(esk1_0,X1,esk4_0)
| X1 != join_on_relstr(esk1_0,X2)
| ~ relstr_set_smaller(esk1_0,X2,esk4_0)
| ~ ex_sup_of_relstr_set(esk1_0,X2)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_88]),c_0_10])]) ).
cnf(c_0_92,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_72,c_0_89]),c_0_29]),c_0_61]),c_0_9]),c_0_10])]),c_0_86]) ).
cnf(c_0_93,negated_conjecture,
element(join_on_relstr(esk1_0,X1),the_carrier(esk1_0)),
inference(spm,[status(thm)],[c_0_90,c_0_10]) ).
cnf(c_0_94,negated_conjecture,
( related(esk1_0,X1,esk2_0)
| X1 != join_on_relstr(esk1_0,X2)
| ~ relstr_set_smaller(esk1_0,X2,esk2_0)
| ~ ex_sup_of_relstr_set(esk1_0,X2)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_10])]) ).
cnf(c_0_95,negated_conjecture,
( related(esk1_0,X1,esk4_0)
| X1 != esk2_0
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_75]),c_0_76])]) ).
cnf(c_0_96,negated_conjecture,
( relstr_set_smaller(esk1_0,X1,join_on_relstr(esk1_0,X2))
| join_on_relstr(esk1_0,X2) != join_on_relstr(esk1_0,X1)
| ~ ex_sup_of_relstr_set(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_93]),c_0_10])]) ).
cnf(c_0_97,negated_conjecture,
( related(esk1_0,X1,esk2_0)
| X1 != join_on_relstr(esk1_0,esk5_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk5_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_29]) ).
cnf(c_0_98,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,esk5_0)
| esk2_0 != join_on_relstr(esk1_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_99,lemma,
! [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_100,negated_conjecture,
( related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_78])]) ).
cnf(c_0_101,negated_conjecture,
related(esk1_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_95,c_0_9]) ).
cnf(c_0_102,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_0,join_on_relstr(esk1_0,X1))
| join_on_relstr(esk1_0,X1) != join_on_relstr(esk1_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_61]) ).
cnf(c_0_103,negated_conjecture,
( related(esk1_0,X1,esk2_0)
| X1 != join_on_relstr(esk1_0,esk5_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_61])]) ).
cnf(c_0_104,negated_conjecture,
( join_on_relstr(esk1_0,esk5_0) != esk2_0
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_61])]) ).
cnf(c_0_105,lemma,
( 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_99]) ).
cnf(c_0_106,negated_conjecture,
( related(esk1_0,esk2_0,X1)
| ~ relstr_set_smaller(esk1_0,esk5_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).
cnf(c_0_107,negated_conjecture,
relstr_set_smaller(esk1_0,esk5_0,join_on_relstr(esk1_0,esk5_0)),
inference(er,[status(thm)],[c_0_102]) ).
cnf(c_0_108,negated_conjecture,
( related(esk1_0,join_on_relstr(esk1_0,X1),esk2_0)
| join_on_relstr(esk1_0,X1) != join_on_relstr(esk1_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_93]) ).
cnf(c_0_109,negated_conjecture,
( join_on_relstr(esk1_0,esk5_0) != esk2_0
| ~ related(esk1_0,esk2_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_78])]) ).
cnf(c_0_110,negated_conjecture,
( X1 = esk2_0
| ~ related(esk1_0,esk2_0,X1)
| ~ related(esk1_0,X1,esk2_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_9]),c_0_24]),c_0_10])]) ).
cnf(c_0_111,negated_conjecture,
related(esk1_0,esk2_0,join_on_relstr(esk1_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_93])]) ).
cnf(c_0_112,negated_conjecture,
related(esk1_0,join_on_relstr(esk1_0,esk5_0),esk2_0),
inference(er,[status(thm)],[c_0_108]) ).
cnf(c_0_113,negated_conjecture,
join_on_relstr(esk1_0,esk5_0) != esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_101])]) ).
cnf(c_0_114,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_110,c_0_111]),c_0_112]),c_0_93])]),c_0_113]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU359+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 08:28:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.30/1.47 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.30/1.47 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.30/1.47 # Preprocessing time : 0.039 s
% 0.30/1.47
% 0.30/1.47 # Proof found!
% 0.30/1.47 # SZS status Theorem
% 0.30/1.47 # SZS output start CNFRefutation
% See solution above
% 0.30/1.47 # Proof object total steps : 115
% 0.30/1.47 # Proof object clause steps : 104
% 0.30/1.47 # Proof object formula steps : 11
% 0.30/1.47 # Proof object conjectures : 90
% 0.30/1.47 # Proof object clause conjectures : 87
% 0.30/1.47 # Proof object formula conjectures : 3
% 0.30/1.47 # Proof object initial clauses used : 28
% 0.30/1.47 # Proof object initial formulas used : 5
% 0.30/1.47 # Proof object generating inferences : 60
% 0.30/1.47 # Proof object simplifying inferences : 136
% 0.30/1.47 # Training examples: 0 positive, 0 negative
% 0.30/1.47 # Parsed axioms : 682
% 0.30/1.47 # Removed by relevancy pruning/SinE : 661
% 0.30/1.47 # Initial clauses : 72
% 0.30/1.47 # Removed in clause preprocessing : 0
% 0.30/1.47 # Initial clauses in saturation : 72
% 0.30/1.47 # Processed clauses : 564
% 0.30/1.47 # ...of these trivial : 2
% 0.30/1.47 # ...subsumed : 71
% 0.30/1.47 # ...remaining for further processing : 491
% 0.30/1.47 # Other redundant clauses eliminated : 0
% 0.30/1.47 # Clauses deleted for lack of memory : 0
% 0.30/1.47 # Backward-subsumed : 18
% 0.30/1.47 # Backward-rewritten : 197
% 0.30/1.47 # Generated clauses : 1725
% 0.30/1.47 # ...of the previous two non-trivial : 1678
% 0.30/1.47 # Contextual simplify-reflections : 146
% 0.30/1.47 # Paramodulations : 1711
% 0.30/1.47 # Factorizations : 4
% 0.30/1.47 # Equation resolutions : 8
% 0.30/1.47 # Current number of processed clauses : 274
% 0.30/1.47 # Positive orientable unit clauses : 43
% 0.30/1.47 # Positive unorientable unit clauses: 0
% 0.30/1.47 # Negative unit clauses : 2
% 0.30/1.47 # Non-unit-clauses : 229
% 0.30/1.47 # Current number of unprocessed clauses: 615
% 0.30/1.47 # ...number of literals in the above : 2983
% 0.30/1.47 # Current number of archived formulas : 0
% 0.30/1.47 # Current number of archived clauses : 217
% 0.30/1.47 # Clause-clause subsumption calls (NU) : 9165
% 0.30/1.47 # Rec. Clause-clause subsumption calls : 3296
% 0.30/1.47 # Non-unit clause-clause subsumptions : 234
% 0.30/1.47 # Unit Clause-clause subsumption calls : 613
% 0.30/1.47 # Rewrite failures with RHS unbound : 0
% 0.30/1.47 # BW rewrite match attempts : 81
% 0.30/1.47 # BW rewrite match successes : 12
% 0.30/1.47 # Condensation attempts : 0
% 0.30/1.47 # Condensation successes : 0
% 0.30/1.47 # Termbank termtop insertions : 62278
% 0.30/1.47
% 0.30/1.47 # -------------------------------------------------
% 0.30/1.47 # User time : 0.104 s
% 0.30/1.47 # System time : 0.005 s
% 0.30/1.47 # Total time : 0.109 s
% 0.30/1.47 # Maximum resident set size: 5944 pages
% 0.30/23.46 eprover: CPU time limit exceeded, terminating
% 0.30/23.46 eprover: CPU time limit exceeded, terminating
% 0.30/23.47 eprover: CPU time limit exceeded, terminating
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.54 eprover: No such file or directory
% 0.30/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.54 eprover: No such file or directory
%------------------------------------------------------------------------------