TSTP Solution File: SEU359+2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU359+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:31:48 EDT 2023
% Result : Theorem 0.76s 1.09s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 67 ( 12 unt; 0 def)
% Number of atoms : 333 ( 47 equ)
% Maximal formula atoms : 57 ( 4 avg)
% Number of connectives : 412 ( 146 ~; 191 |; 44 &)
% ( 2 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 67 ( 2 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/tmp/tmp.jNudTdK5ci/E---3.1_1973.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/tmp/tmp.jNudTdK5ci/E---3.1_1973.p',d9_yellow_0) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( rel_str(X1)
=> element(join_on_relstr(X1,X2),the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.jNudTdK5ci/E---3.1_1973.p',dt_k1_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/tmp/tmp.jNudTdK5ci/E---3.1_1973.p',t15_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/tmp/tmp.jNudTdK5ci/E---3.1_1973.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,
! [X37,X38,X39,X40] :
( ( relstr_set_smaller(X37,X38,X39)
| X39 != join_on_relstr(X37,X38)
| ~ ex_sup_of_relstr_set(X37,X38)
| ~ element(X39,the_carrier(X37))
| ~ rel_str(X37) )
& ( ~ element(X40,the_carrier(X37))
| ~ relstr_set_smaller(X37,X38,X40)
| related(X37,X39,X40)
| X39 != join_on_relstr(X37,X38)
| ~ ex_sup_of_relstr_set(X37,X38)
| ~ element(X39,the_carrier(X37))
| ~ rel_str(X37) )
& ( element(esk9_3(X37,X38,X39),the_carrier(X37))
| ~ relstr_set_smaller(X37,X38,X39)
| X39 = join_on_relstr(X37,X38)
| ~ ex_sup_of_relstr_set(X37,X38)
| ~ element(X39,the_carrier(X37))
| ~ rel_str(X37) )
& ( relstr_set_smaller(X37,X38,esk9_3(X37,X38,X39))
| ~ relstr_set_smaller(X37,X38,X39)
| X39 = join_on_relstr(X37,X38)
| ~ ex_sup_of_relstr_set(X37,X38)
| ~ element(X39,the_carrier(X37))
| ~ rel_str(X37) )
& ( ~ related(X37,X39,esk9_3(X37,X38,X39))
| ~ relstr_set_smaller(X37,X38,X39)
| X39 = join_on_relstr(X37,X38)
| ~ ex_sup_of_relstr_set(X37,X38)
| ~ element(X39,the_carrier(X37))
| ~ rel_str(X37) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_yellow_0])])])])]) ).
fof(c_0_7,plain,
! [X49,X50] :
( ~ rel_str(X49)
| element(join_on_relstr(X49,X50),the_carrier(X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])]) ).
fof(c_0_8,lemma,
! [X42,X43,X45,X46,X47] :
( ( element(esk10_2(X42,X43),the_carrier(X42))
| ~ ex_sup_of_relstr_set(X42,X43)
| ~ antisymmetric_relstr(X42)
| ~ rel_str(X42) )
& ( relstr_set_smaller(X42,X43,esk10_2(X42,X43))
| ~ ex_sup_of_relstr_set(X42,X43)
| ~ antisymmetric_relstr(X42)
| ~ rel_str(X42) )
& ( ~ element(X45,the_carrier(X42))
| ~ relstr_set_smaller(X42,X43,X45)
| related(X42,esk10_2(X42,X43),X45)
| ~ ex_sup_of_relstr_set(X42,X43)
| ~ antisymmetric_relstr(X42)
| ~ rel_str(X42) )
& ( element(esk11_3(X42,X46,X47),the_carrier(X42))
| ~ element(X47,the_carrier(X42))
| ~ relstr_set_smaller(X42,X46,X47)
| ex_sup_of_relstr_set(X42,X46)
| ~ antisymmetric_relstr(X42)
| ~ rel_str(X42) )
& ( relstr_set_smaller(X42,X46,esk11_3(X42,X46,X47))
| ~ element(X47,the_carrier(X42))
| ~ relstr_set_smaller(X42,X46,X47)
| ex_sup_of_relstr_set(X42,X46)
| ~ antisymmetric_relstr(X42)
| ~ rel_str(X42) )
& ( ~ related(X42,X47,esk11_3(X42,X46,X47))
| ~ element(X47,the_carrier(X42))
| ~ relstr_set_smaller(X42,X46,X47)
| ex_sup_of_relstr_set(X42,X46)
| ~ antisymmetric_relstr(X42)
| ~ rel_str(X42) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_yellow_0])])])])])]) ).
fof(c_0_9,negated_conjecture,
! [X25] :
( antisymmetric_relstr(esk1_0)
& rel_str(esk1_0)
& element(esk2_0,the_carrier(esk1_0))
& ( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| esk2_0 = join_on_relstr(esk1_0,esk3_0) )
& ( ~ element(X25,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| related(esk1_0,esk2_0,X25)
| esk2_0 = join_on_relstr(esk1_0,esk3_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| esk2_0 = join_on_relstr(esk1_0,esk3_0) )
& ( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ex_sup_of_relstr_set(esk1_0,esk3_0) )
& ( ~ element(X25,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| related(esk1_0,esk2_0,X25)
| ex_sup_of_relstr_set(esk1_0,esk3_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| ex_sup_of_relstr_set(esk1_0,esk3_0) )
& ( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ~ element(X25,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| related(esk1_0,esk2_0,X25)
| element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| element(esk4_0,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ~ element(X25,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| related(esk1_0,esk2_0,X25)
| 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,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( ~ element(X25,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X25)
| related(esk1_0,esk2_0,X25)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) )
& ( esk2_0 != join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ 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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_10,plain,
( relstr_set_smaller(X1,X2,X3)
| X3 != join_on_relstr(X1,X2)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( element(join_on_relstr(X1,X2),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,lemma,
( element(esk11_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| esk2_0 = join_on_relstr(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
element(esk2_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( relstr_set_smaller(X1,X2,join_on_relstr(X1,X2))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_10]),c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| ex_sup_of_relstr_set(esk1_0,esk3_0)
| element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_19,plain,
( related(X2,X4,X1)
| ~ element(X1,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| X4 != join_on_relstr(X2,X3)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ element(X4,the_carrier(X2))
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_20,lemma,
! [X53,X54,X55] :
( ~ antisymmetric_relstr(X53)
| ~ rel_str(X53)
| ~ element(X54,the_carrier(X53))
| ~ element(X55,the_carrier(X53))
| ~ related(X53,X54,X55)
| ~ related(X53,X55,X54)
| X54 = X55 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_orders_2])])]) ).
cnf(c_0_21,negated_conjecture,
( related(esk1_0,esk2_0,X1)
| esk2_0 = join_on_relstr(esk1_0,esk3_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,join_on_relstr(esk1_0,esk3_0))
| element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
element(join_on_relstr(esk1_0,X1),the_carrier(esk1_0)),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_24,lemma,
( relstr_set_smaller(X1,X2,esk11_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( related(X1,join_on_relstr(X1,X2),X3)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_19]),c_0_11]) ).
cnf(c_0_26,lemma,
( X2 = X3
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X2,X3)
| ~ related(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| related(esk1_0,esk2_0,join_on_relstr(esk1_0,esk3_0))
| element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_28,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_0,esk3_0,esk2_0))
| ex_sup_of_relstr_set(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_13]),c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_29,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| related(esk1_0,join_on_relstr(esk1_0,esk3_0),esk2_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_13]),c_0_15]),c_0_16])]) ).
cnf(c_0_30,lemma,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0))
| ~ related(esk1_0,join_on_relstr(esk1_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_14]),c_0_15]),c_0_23]),c_0_16])]) ).
cnf(c_0_31,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_0,esk3_0,esk2_0))
| relstr_set_smaller(esk1_0,esk3_0,join_on_relstr(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_28]),c_0_16])]) ).
cnf(c_0_32,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_30]) ).
cnf(c_0_33,lemma,
( ex_sup_of_relstr_set(X1,X3)
| ~ related(X1,X2,esk11_3(X1,X3,X2))
| ~ element(X2,the_carrier(X1))
| ~ relstr_set_smaller(X1,X3,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,join_on_relstr(esk1_0,esk3_0))
| related(esk1_0,esk2_0,esk11_3(esk1_0,esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_31]),c_0_32]) ).
cnf(c_0_35,lemma,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,join_on_relstr(esk1_0,esk3_0))
| 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(spm,[status(thm)],[c_0_33,c_0_34]),c_0_14]),c_0_15]),c_0_16])]),c_0_13]) ).
cnf(c_0_36,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_0,esk3_0,esk2_0))
| related(esk1_0,join_on_relstr(esk1_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_37,lemma,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,join_on_relstr(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_35]),c_0_16])]) ).
cnf(c_0_38,lemma,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_0,esk3_0,esk2_0))
| ~ related(esk1_0,esk2_0,join_on_relstr(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_36]),c_0_14]),c_0_23]),c_0_15]),c_0_16])]) ).
cnf(c_0_39,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| related(esk1_0,esk2_0,join_on_relstr(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_37]),c_0_23])]) ).
cnf(c_0_40,lemma,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_0,esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,negated_conjecture,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| related(esk1_0,esk2_0,esk11_3(esk1_0,esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_40]),c_0_32]) ).
cnf(c_0_42,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk2_0)
| ex_sup_of_relstr_set(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_43,lemma,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| 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(spm,[status(thm)],[c_0_33,c_0_41]),c_0_14]),c_0_15]),c_0_16])]),c_0_13]) ).
cnf(c_0_44,lemma,
( join_on_relstr(esk1_0,esk3_0) = esk2_0
| ~ related(esk1_0,join_on_relstr(esk1_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_39]),c_0_14]),c_0_15]),c_0_23]),c_0_16])]) ).
cnf(c_0_45,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,join_on_relstr(esk1_0,esk3_0))
| relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_42]),c_0_16])]) ).
cnf(c_0_46,negated_conjecture,
join_on_relstr(esk1_0,esk3_0) = esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_43]),c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| esk2_0 != join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_48,negated_conjecture,
relstr_set_smaller(esk1_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).
cnf(c_0_49,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_46])]),c_0_48])]) ).
cnf(c_0_50,lemma,
( ex_sup_of_relstr_set(esk1_0,esk3_0)
| element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_48]),c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_51,negated_conjecture,
( element(esk4_0,the_carrier(esk1_0))
| esk2_0 != join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_52,negated_conjecture,
( esk2_0 != join_on_relstr(esk1_0,esk3_0)
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ related(esk1_0,esk2_0,esk4_0)
| ~ relstr_set_smaller(esk1_0,esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_53,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( element(esk4_0,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_46])]),c_0_48])]) ).
cnf(c_0_55,lemma,
( relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_0,esk3_0,esk2_0))
| ex_sup_of_relstr_set(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_48]),c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_56,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ related(esk1_0,esk2_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_46])]),c_0_48])]) ).
cnf(c_0_57,negated_conjecture,
( related(esk1_0,esk2_0,esk4_0)
| element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_53]),c_0_46]),c_0_16])]),c_0_54]),c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( related(esk1_0,esk2_0,X1)
| ex_sup_of_relstr_set(esk1_0,esk3_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_59,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_0,esk3_0,esk2_0))
| relstr_set_smaller(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
element(esk11_3(esk1_0,esk3_0,esk2_0),the_carrier(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50]) ).
cnf(c_0_61,negated_conjecture,
( relstr_set_smaller(esk1_0,esk3_0,esk4_0)
| related(esk1_0,esk2_0,esk11_3(esk1_0,esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]),c_0_49]) ).
cnf(c_0_62,lemma,
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_33,c_0_61]),c_0_48]),c_0_14]),c_0_15]),c_0_16])]),c_0_49]) ).
cnf(c_0_63,lemma,
~ ex_sup_of_relstr_set(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_62]),c_0_46]),c_0_16])]),c_0_54]),c_0_56]) ).
cnf(c_0_64,lemma,
relstr_set_smaller(esk1_0,esk3_0,esk11_3(esk1_0,esk3_0,esk2_0)),
inference(sr,[status(thm)],[c_0_55,c_0_63]) ).
cnf(c_0_65,negated_conjecture,
related(esk1_0,esk2_0,esk11_3(esk1_0,esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_64]),c_0_60])]),c_0_63]) ).
cnf(c_0_66,lemma,
$false,
inference(sr,[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_33,c_0_65]),c_0_48]),c_0_14]),c_0_15]),c_0_16])]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU359+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n023.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 : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 08:48:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.53 Running first-order model finding
% 0.20/0.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.jNudTdK5ci/E---3.1_1973.p
% 0.76/1.09 # Version: 3.1pre001
% 0.76/1.09 # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.76/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/1.09 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.76/1.09 # Starting new_bool_3 with 600s (2) cores
% 0.76/1.09 # Starting new_bool_1 with 600s (2) cores
% 0.76/1.09 # Starting sh5l with 300s (1) cores
% 0.76/1.09 # new_bool_3 with pid 2144 completed with status 0
% 0.76/1.09 # Result found by new_bool_3
% 0.76/1.09 # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.76/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/1.09 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.76/1.09 # Starting new_bool_3 with 600s (2) cores
% 0.76/1.09 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.76/1.09 # Search class: FGHSM-SMLM32-MFFFFFNN
% 0.76/1.09 # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.76/1.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 45s (1) cores
% 0.76/1.09 # Starting new_bool_3 with 61s (1) cores
% 0.76/1.09 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 2161 completed with status 0
% 0.76/1.09 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.76/1.09 # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.76/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/1.09 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.76/1.09 # Starting new_bool_3 with 600s (2) cores
% 0.76/1.09 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.76/1.09 # Search class: FGHSM-SMLM32-MFFFFFNN
% 0.76/1.09 # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.76/1.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 45s (1) cores
% 0.76/1.09 # Preprocessing time : 0.020 s
% 0.76/1.09 # Presaturation interreduction done
% 0.76/1.09
% 0.76/1.09 # Proof found!
% 0.76/1.09 # SZS status Theorem
% 0.76/1.09 # SZS output start CNFRefutation
% See solution above
% 0.76/1.09 # Parsed axioms : 682
% 0.76/1.09 # Removed by relevancy pruning/SinE : 514
% 0.76/1.09 # Initial clauses : 1127
% 0.76/1.09 # Removed in clause preprocessing : 15
% 0.76/1.09 # Initial clauses in saturation : 1112
% 0.76/1.09 # Processed clauses : 3433
% 0.76/1.09 # ...of these trivial : 27
% 0.76/1.09 # ...subsumed : 609
% 0.76/1.09 # ...remaining for further processing : 2797
% 0.76/1.09 # Other redundant clauses eliminated : 473
% 0.76/1.09 # Clauses deleted for lack of memory : 0
% 0.76/1.09 # Backward-subsumed : 49
% 0.76/1.09 # Backward-rewritten : 99
% 0.76/1.09 # Generated clauses : 12474
% 0.76/1.09 # ...of the previous two non-redundant : 12121
% 0.76/1.09 # ...aggressively subsumed : 0
% 0.76/1.09 # Contextual simplify-reflections : 268
% 0.76/1.09 # Paramodulations : 12123
% 0.76/1.09 # Factorizations : 2
% 0.76/1.09 # NegExts : 0
% 0.76/1.09 # Equation resolutions : 477
% 0.76/1.09 # Total rewrite steps : 2214
% 0.76/1.09 # Propositional unsat checks : 0
% 0.76/1.09 # Propositional check models : 0
% 0.76/1.09 # Propositional check unsatisfiable : 0
% 0.76/1.09 # Propositional clauses : 0
% 0.76/1.09 # Propositional clauses after purity: 0
% 0.76/1.09 # Propositional unsat core size : 0
% 0.76/1.09 # Propositional preprocessing time : 0.000
% 0.76/1.09 # Propositional encoding time : 0.000
% 0.76/1.09 # Propositional solver time : 0.000
% 0.76/1.09 # Success case prop preproc time : 0.000
% 0.76/1.09 # Success case prop encoding time : 0.000
% 0.76/1.09 # Success case prop solver time : 0.000
% 0.76/1.09 # Current number of processed clauses : 1261
% 0.76/1.09 # Positive orientable unit clauses : 125
% 0.76/1.09 # Positive unorientable unit clauses: 0
% 0.76/1.09 # Negative unit clauses : 68
% 0.76/1.09 # Non-unit-clauses : 1068
% 0.76/1.09 # Current number of unprocessed clauses: 10802
% 0.76/1.09 # ...number of literals in the above : 32924
% 0.76/1.09 # Current number of archived formulas : 0
% 0.76/1.09 # Current number of archived clauses : 1194
% 0.76/1.09 # Clause-clause subsumption calls (NU) : 609495
% 0.76/1.09 # Rec. Clause-clause subsumption calls : 113255
% 0.76/1.09 # Non-unit clause-clause subsumptions : 852
% 0.76/1.09 # Unit Clause-clause subsumption calls : 7423
% 0.76/1.09 # Rewrite failures with RHS unbound : 0
% 0.76/1.09 # BW rewrite match attempts : 39
% 0.76/1.09 # BW rewrite match successes : 11
% 0.76/1.09 # Condensation attempts : 0
% 0.76/1.09 # Condensation successes : 0
% 0.76/1.09 # Termbank termtop insertions : 254551
% 0.76/1.09
% 0.76/1.09 # -------------------------------------------------
% 0.76/1.09 # User time : 0.509 s
% 0.76/1.09 # System time : 0.013 s
% 0.76/1.09 # Total time : 0.521 s
% 0.76/1.09 # Maximum resident set size: 5048 pages
% 0.76/1.09
% 0.76/1.09 # -------------------------------------------------
% 0.76/1.09 # User time : 0.990 s
% 0.76/1.09 # System time : 0.016 s
% 0.76/1.09 # Total time : 1.007 s
% 0.76/1.09 # Maximum resident set size: 2664 pages
% 0.76/1.09 % E---3.1 exiting
%------------------------------------------------------------------------------