TSTP Solution File: SEU359+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 300s
% DateTime : Sat May 4 09:31:31 EDT 2024
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 52 ( 10 unt; 0 def)
% Number of atoms : 296 ( 40 equ)
% Maximal formula atoms : 57 ( 5 avg)
% Number of connectives : 397 ( 153 ~; 175 |; 42 &)
% ( 2 <=>; 25 =>; 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 : 66 ( 1 sgn 31 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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.yelnPvzgpY/E---3.1_8830.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.yelnPvzgpY/E---3.1_8830.p',dt_k1_yellow_0) ).
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.yelnPvzgpY/E---3.1_8830.p',t30_yellow_0) ).
fof(t15_yellow_0,axiom,
! [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.yelnPvzgpY/E---3.1_8830.p',t15_yellow_0) ).
fof(c_0_4,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(esk1_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,esk1_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,esk1_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(fof_nnf,[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_5,plain,
! [X10,X11] :
( ~ rel_str(X10)
| element(join_on_relstr(X10,X11),the_carrier(X10)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])])]) ).
fof(c_0_6,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]) ).
cnf(c_0_7,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_4]) ).
cnf(c_0_8,plain,
( element(join_on_relstr(X1,X2),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
! [X28] :
( antisymmetric_relstr(esk7_0)
& rel_str(esk7_0)
& element(esk8_0,the_carrier(esk7_0))
& ( relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| esk8_0 = join_on_relstr(esk7_0,esk9_0) )
& ( ~ element(X28,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| related(esk7_0,esk8_0,X28)
| esk8_0 = join_on_relstr(esk7_0,esk9_0) )
& ( esk8_0 != join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 = join_on_relstr(esk7_0,esk9_0) )
& ( relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ex_sup_of_relstr_set(esk7_0,esk9_0) )
& ( ~ element(X28,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| related(esk7_0,esk8_0,X28)
| ex_sup_of_relstr_set(esk7_0,esk9_0) )
& ( esk8_0 != join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| ex_sup_of_relstr_set(esk7_0,esk9_0) )
& ( relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| element(esk10_0,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( ~ element(X28,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| related(esk7_0,esk8_0,X28)
| element(esk10_0,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( esk8_0 != join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| element(esk10_0,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( ~ element(X28,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| related(esk7_0,esk8_0,X28)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( esk8_0 != join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ~ related(esk7_0,esk8_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( ~ element(X28,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| related(esk7_0,esk8_0,X28)
| ~ related(esk7_0,esk8_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( esk8_0 != join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| ~ related(esk7_0,esk8_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])]) ).
cnf(c_0_10,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_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
rel_str(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X17,X18,X20,X21,X22] :
( ( element(esk5_2(X17,X18),the_carrier(X17))
| ~ ex_sup_of_relstr_set(X17,X18)
| ~ antisymmetric_relstr(X17)
| ~ rel_str(X17) )
& ( relstr_set_smaller(X17,X18,esk5_2(X17,X18))
| ~ ex_sup_of_relstr_set(X17,X18)
| ~ antisymmetric_relstr(X17)
| ~ rel_str(X17) )
& ( ~ element(X20,the_carrier(X17))
| ~ relstr_set_smaller(X17,X18,X20)
| related(X17,esk5_2(X17,X18),X20)
| ~ ex_sup_of_relstr_set(X17,X18)
| ~ antisymmetric_relstr(X17)
| ~ rel_str(X17) )
& ( element(esk6_3(X17,X21,X22),the_carrier(X17))
| ~ element(X22,the_carrier(X17))
| ~ relstr_set_smaller(X17,X21,X22)
| ex_sup_of_relstr_set(X17,X21)
| ~ antisymmetric_relstr(X17)
| ~ rel_str(X17) )
& ( relstr_set_smaller(X17,X21,esk6_3(X17,X21,X22))
| ~ element(X22,the_carrier(X17))
| ~ relstr_set_smaller(X17,X21,X22)
| ex_sup_of_relstr_set(X17,X21)
| ~ antisymmetric_relstr(X17)
| ~ rel_str(X17) )
& ( ~ related(X17,X22,esk6_3(X17,X21,X22))
| ~ element(X22,the_carrier(X17))
| ~ relstr_set_smaller(X17,X21,X22)
| ex_sup_of_relstr_set(X17,X21)
| ~ antisymmetric_relstr(X17)
| ~ rel_str(X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_yellow_0])])])])])])]) ).
cnf(c_0_14,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,join_on_relstr(esk7_0,esk9_0))
| relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| esk8_0 = join_on_relstr(esk7_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( relstr_set_smaller(X1,X2,esk6_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_13]) ).
cnf(c_0_17,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk8_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
antisymmetric_relstr(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
element(esk8_0,the_carrier(esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( element(esk6_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_13]) ).
cnf(c_0_21,negated_conjecture,
( related(esk7_0,esk8_0,X1)
| ex_sup_of_relstr_set(esk7_0,esk9_0)
| ~ element(X1,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_12])]) ).
cnf(c_0_23,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,esk9_0)
| element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_18]),c_0_19]),c_0_12])]) ).
cnf(c_0_24,plain,
( relstr_set_smaller(X1,X2,esk1_3(X1,X2,X3))
| X3 = join_on_relstr(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,plain,
( ex_sup_of_relstr_set(X1,X3)
| ~ related(X1,X2,esk6_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_13]) ).
cnf(c_0_26,negated_conjecture,
( related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0))
| ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_27,plain,
( element(esk1_3(X1,X2,X3),the_carrier(X1))
| X3 = join_on_relstr(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_28,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_17]),c_0_19]),c_0_12])]) ).
cnf(c_0_29,negated_conjecture,
ex_sup_of_relstr_set(esk7_0,esk9_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_25,c_0_26]),c_0_18]),c_0_17]),c_0_19]),c_0_12])]) ).
cnf(c_0_30,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_17]),c_0_19]),c_0_12])]) ).
cnf(c_0_31,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_32,negated_conjecture,
( related(esk7_0,esk8_0,X1)
| esk8_0 = join_on_relstr(esk7_0,esk9_0)
| ~ element(X1,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_33,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
cnf(c_0_34,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_29])]) ).
cnf(c_0_35,negated_conjecture,
( esk8_0 != join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| ~ related(esk7_0,esk8_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| join_on_relstr(esk7_0,esk9_0) != esk8_0
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_17])]) ).
cnf(c_0_37,plain,
( X2 = join_on_relstr(X1,X3)
| ~ related(X1,X2,esk1_3(X1,X3,X2))
| ~ relstr_set_smaller(X1,X3,X2)
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) != esk8_0
| ~ related(esk7_0,esk8_0,esk10_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_17])]) ).
cnf(c_0_40,negated_conjecture,
( element(esk10_0,the_carrier(esk7_0))
| esk8_0 != join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_41,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_4]) ).
cnf(c_0_42,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| join_on_relstr(esk7_0,esk9_0) != esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_29])]) ).
cnf(c_0_43,negated_conjecture,
join_on_relstr(esk7_0,esk9_0) = esk8_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_37,c_0_38]),c_0_17]),c_0_29]),c_0_19]),c_0_12])]) ).
cnf(c_0_44,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) != esk8_0
| ~ related(esk7_0,esk8_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_29])]) ).
cnf(c_0_45,negated_conjecture,
( element(esk10_0,the_carrier(esk7_0))
| join_on_relstr(esk7_0,esk9_0) != esk8_0
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_17])]) ).
cnf(c_0_46,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_41]),c_0_8]) ).
cnf(c_0_47,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_48,negated_conjecture,
~ related(esk7_0,esk8_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_43])]) ).
cnf(c_0_49,negated_conjecture,
( element(esk10_0,the_carrier(esk7_0))
| join_on_relstr(esk7_0,esk9_0) != esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_29])]) ).
cnf(c_0_50,negated_conjecture,
~ element(esk10_0,the_carrier(esk7_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_46,c_0_47]),c_0_43]),c_0_29]),c_0_12])]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_43])]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 07:40:10 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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.yelnPvzgpY/E---3.1_8830.p
% 0.15/0.43 # Version: 3.1.0
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8907 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.15/0.43 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.15/0.43 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 8913 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.15/0.43 # Preprocessing time : 0.001 s
% 0.15/0.43 # Presaturation interreduction done
% 0.15/0.43
% 0.15/0.43 # Proof found!
% 0.15/0.43 # SZS status Theorem
% 0.15/0.43 # SZS output start CNFRefutation
% See solution above
% 0.15/0.43 # Parsed axioms : 11
% 0.15/0.43 # Removed by relevancy pruning/SinE : 0
% 0.15/0.43 # Initial clauses : 37
% 0.15/0.43 # Removed in clause preprocessing : 8
% 0.15/0.43 # Initial clauses in saturation : 29
% 0.15/0.43 # Processed clauses : 114
% 0.15/0.43 # ...of these trivial : 0
% 0.15/0.43 # ...subsumed : 2
% 0.15/0.43 # ...remaining for further processing : 111
% 0.15/0.43 # Other redundant clauses eliminated : 2
% 0.15/0.43 # Clauses deleted for lack of memory : 0
% 0.15/0.43 # Backward-subsumed : 1
% 0.15/0.43 # Backward-rewritten : 43
% 0.15/0.43 # Generated clauses : 90
% 0.15/0.43 # ...of the previous two non-redundant : 89
% 0.15/0.43 # ...aggressively subsumed : 0
% 0.15/0.43 # Contextual simplify-reflections : 4
% 0.15/0.43 # Paramodulations : 86
% 0.15/0.43 # Factorizations : 0
% 0.15/0.43 # NegExts : 0
% 0.15/0.43 # Equation resolutions : 2
% 0.15/0.43 # Disequality decompositions : 0
% 0.15/0.43 # Total rewrite steps : 191
% 0.15/0.43 # ...of those cached : 181
% 0.15/0.43 # Propositional unsat checks : 0
% 0.15/0.43 # Propositional check models : 0
% 0.15/0.43 # Propositional check unsatisfiable : 0
% 0.15/0.43 # Propositional clauses : 0
% 0.15/0.43 # Propositional clauses after purity: 0
% 0.15/0.43 # Propositional unsat core size : 0
% 0.15/0.43 # Propositional preprocessing time : 0.000
% 0.15/0.43 # Propositional encoding time : 0.000
% 0.15/0.43 # Propositional solver time : 0.000
% 0.15/0.43 # Success case prop preproc time : 0.000
% 0.15/0.43 # Success case prop encoding time : 0.000
% 0.15/0.43 # Success case prop solver time : 0.000
% 0.15/0.43 # Current number of processed clauses : 34
% 0.15/0.43 # Positive orientable unit clauses : 18
% 0.15/0.43 # Positive unorientable unit clauses: 0
% 0.15/0.43 # Negative unit clauses : 2
% 0.15/0.43 # Non-unit-clauses : 14
% 0.15/0.43 # Current number of unprocessed clauses: 28
% 0.15/0.43 # ...number of literals in the above : 83
% 0.15/0.43 # Current number of archived formulas : 0
% 0.15/0.43 # Current number of archived clauses : 75
% 0.15/0.43 # Clause-clause subsumption calls (NU) : 457
% 0.15/0.43 # Rec. Clause-clause subsumption calls : 124
% 0.15/0.43 # Non-unit clause-clause subsumptions : 6
% 0.15/0.43 # Unit Clause-clause subsumption calls : 42
% 0.15/0.43 # Rewrite failures with RHS unbound : 0
% 0.15/0.43 # BW rewrite match attempts : 24
% 0.15/0.43 # BW rewrite match successes : 4
% 0.15/0.43 # Condensation attempts : 0
% 0.15/0.43 # Condensation successes : 0
% 0.15/0.43 # Termbank termtop insertions : 5031
% 0.15/0.43 # Search garbage collected termcells : 579
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.010 s
% 0.15/0.43 # System time : 0.002 s
% 0.15/0.43 # Total time : 0.012 s
% 0.15/0.43 # Maximum resident set size: 1772 pages
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.038 s
% 0.15/0.43 # System time : 0.007 s
% 0.15/0.43 # Total time : 0.045 s
% 0.15/0.43 # Maximum resident set size: 1700 pages
% 0.15/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------