TSTP Solution File: SEU359+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU359+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 : Tue May 21 03:26:49 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 10 unt; 0 def)
% Number of atoms : 288 ( 41 equ)
% Maximal formula atoms : 57 ( 6 avg)
% Number of connectives : 402 ( 158 ~; 176 |; 42 &)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 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 : 61 ( 0 sgn 27 !; 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/sandbox2/benchmark/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/sandbox2/benchmark/theBenchmark.p',d9_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/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(c_0_3,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_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,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_3])])])])])]) ).
fof(c_0_6,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_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,negated_conjecture,
element(esk8_0,the_carrier(esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
rel_str(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,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_6]) ).
cnf(c_0_11,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_5]) ).
cnf(c_0_12,negated_conjecture,
antisymmetric_relstr(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( relstr_set_smaller(esk7_0,X1,esk8_0)
| join_on_relstr(esk7_0,X1) != esk8_0
| ~ ex_sup_of_relstr_set(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_14,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_5]) ).
cnf(c_0_15,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_5]) ).
cnf(c_0_16,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,esk9_0)
| ex_sup_of_relstr_set(esk7_0,X1)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,X1,esk8_0))
| ~ relstr_set_smaller(esk7_0,X1,esk8_0)
| ~ element(esk6_3(esk7_0,X1,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_10,c_0_11]),c_0_12]),c_0_8]),c_0_9])]) ).
cnf(c_0_17,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_6]) ).
cnf(c_0_18,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_19,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_5]) ).
cnf(c_0_20,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_5]) ).
cnf(c_0_21,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk8_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,esk9_0)
| ex_sup_of_relstr_set(esk7_0,X1)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,X1,esk8_0))
| ~ relstr_set_smaller(esk7_0,X1,esk8_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_12]),c_0_8]),c_0_9])]) ).
cnf(c_0_23,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_6]) ).
cnf(c_0_24,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| join_on_relstr(esk7_0,X1) = esk8_0
| ~ relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,X1,esk8_0))
| ~ relstr_set_smaller(esk7_0,X1,esk8_0)
| ~ ex_sup_of_relstr_set(esk7_0,X1)
| ~ element(esk1_3(esk7_0,X1,esk8_0),the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_8]),c_0_9])]) ).
cnf(c_0_25,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_26,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_5]) ).
cnf(c_0_27,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_5]) ).
cnf(c_0_28,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_20,c_0_21])]) ).
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_22,c_0_23]),c_0_21]),c_0_12]),c_0_8]),c_0_9])]) ).
cnf(c_0_30,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| join_on_relstr(esk7_0,X1) = esk8_0
| ~ relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,X1,esk8_0))
| ~ relstr_set_smaller(esk7_0,X1,esk8_0)
| ~ ex_sup_of_relstr_set(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_8]),c_0_9])]) ).
cnf(c_0_31,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_32,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_26,c_0_21])]) ).
cnf(c_0_33,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_27,c_0_21])]) ).
cnf(c_0_34,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_28,c_0_29])]) ).
cnf(c_0_35,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_30,c_0_31]),c_0_21]),c_0_29]),c_0_8]),c_0_9])]) ).
cnf(c_0_36,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_32,c_0_29])]) ).
cnf(c_0_37,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_33,c_0_29])]) ).
cnf(c_0_38,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_39,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_40,negated_conjecture,
element(esk10_0,the_carrier(esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).
cnf(c_0_41,negated_conjecture,
~ related(esk7_0,esk8_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_35])]) ).
cnf(c_0_42,negated_conjecture,
( related(esk7_0,X1,esk10_0)
| X1 != esk8_0
| ~ element(X1,the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35]),c_0_29]),c_0_9])]),c_0_40])]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU359+1 : TPTP v8.2.0. Released v3.3.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 16:21:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 # Version: 3.1.0
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50 # Starting sh5l with 300s (1) cores
% 0.21/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23027 completed with status 0
% 0.21/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # No SInE strategy applied
% 0.21/0.50 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.21/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.21/0.50 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.21/0.50 # G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 23034 completed with status 0
% 0.21/0.50 # Result found by G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # No SInE strategy applied
% 0.21/0.50 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.21/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.21/0.50 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.21/0.50 # Preprocessing time : 0.001 s
% 0.21/0.50 # Presaturation interreduction done
% 0.21/0.50
% 0.21/0.50 # Proof found!
% 0.21/0.50 # SZS status Theorem
% 0.21/0.50 # SZS output start CNFRefutation
% See solution above
% 0.21/0.50 # Parsed axioms : 11
% 0.21/0.50 # Removed by relevancy pruning/SinE : 0
% 0.21/0.50 # Initial clauses : 37
% 0.21/0.50 # Removed in clause preprocessing : 8
% 0.21/0.50 # Initial clauses in saturation : 29
% 0.21/0.50 # Processed clauses : 102
% 0.21/0.50 # ...of these trivial : 1
% 0.21/0.50 # ...subsumed : 3
% 0.21/0.50 # ...remaining for further processing : 98
% 0.21/0.50 # Other redundant clauses eliminated : 0
% 0.21/0.50 # Clauses deleted for lack of memory : 0
% 0.21/0.50 # Backward-subsumed : 7
% 0.21/0.50 # Backward-rewritten : 27
% 0.21/0.50 # Generated clauses : 75
% 0.21/0.50 # ...of the previous two non-redundant : 64
% 0.21/0.50 # ...aggressively subsumed : 0
% 0.21/0.50 # Contextual simplify-reflections : 2
% 0.21/0.50 # Paramodulations : 74
% 0.21/0.50 # Factorizations : 0
% 0.21/0.50 # NegExts : 0
% 0.21/0.50 # Equation resolutions : 1
% 0.21/0.50 # Disequality decompositions : 0
% 0.21/0.50 # Total rewrite steps : 131
% 0.21/0.50 # ...of those cached : 122
% 0.21/0.50 # Propositional unsat checks : 0
% 0.21/0.50 # Propositional check models : 0
% 0.21/0.50 # Propositional check unsatisfiable : 0
% 0.21/0.50 # Propositional clauses : 0
% 0.21/0.50 # Propositional clauses after purity: 0
% 0.21/0.50 # Propositional unsat core size : 0
% 0.21/0.50 # Propositional preprocessing time : 0.000
% 0.21/0.50 # Propositional encoding time : 0.000
% 0.21/0.50 # Propositional solver time : 0.000
% 0.21/0.50 # Success case prop preproc time : 0.000
% 0.21/0.50 # Success case prop encoding time : 0.000
% 0.21/0.50 # Success case prop solver time : 0.000
% 0.21/0.50 # Current number of processed clauses : 35
% 0.21/0.50 # Positive orientable unit clauses : 11
% 0.21/0.50 # Positive unorientable unit clauses: 0
% 0.21/0.50 # Negative unit clauses : 1
% 0.21/0.50 # Non-unit-clauses : 23
% 0.21/0.50 # Current number of unprocessed clauses: 15
% 0.21/0.50 # ...number of literals in the above : 106
% 0.21/0.50 # Current number of archived formulas : 0
% 0.21/0.50 # Current number of archived clauses : 63
% 0.21/0.50 # Clause-clause subsumption calls (NU) : 626
% 0.21/0.50 # Rec. Clause-clause subsumption calls : 100
% 0.21/0.50 # Non-unit clause-clause subsumptions : 10
% 0.21/0.50 # Unit Clause-clause subsumption calls : 9
% 0.21/0.50 # Rewrite failures with RHS unbound : 0
% 0.21/0.50 # BW rewrite match attempts : 10
% 0.21/0.50 # BW rewrite match successes : 5
% 0.21/0.50 # Condensation attempts : 0
% 0.21/0.50 # Condensation successes : 0
% 0.21/0.50 # Termbank termtop insertions : 4907
% 0.21/0.50 # Search garbage collected termcells : 579
% 0.21/0.50
% 0.21/0.50 # -------------------------------------------------
% 0.21/0.50 # User time : 0.010 s
% 0.21/0.50 # System time : 0.003 s
% 0.21/0.50 # Total time : 0.013 s
% 0.21/0.50 # Maximum resident set size: 1772 pages
% 0.21/0.50
% 0.21/0.50 # -------------------------------------------------
% 0.21/0.50 # User time : 0.042 s
% 0.21/0.50 # System time : 0.013 s
% 0.21/0.50 # Total time : 0.055 s
% 0.21/0.50 # Maximum resident set size: 1696 pages
% 0.21/0.50 % E---3.1 exiting
% 0.21/0.51 % E exiting
%------------------------------------------------------------------------------