%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU359+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 5 05:12:03 PM UTC 2026
% Result : Theorem 1.33s 2.17s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 4
% Syntax : Number of formulae : 119 ( 15 unt; 0 def)
% Number of atoms : 480 ( 57 equ)
% Maximal formula atoms : 57 ( 4 avg)
% Number of connectives : 554 ( 193 ~; 292 |; 42 &)
% ( 2 <=>; 25 =>; 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 : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 81 ( 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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(c_0_4,plain,
! [X25,X26,X27,X28] :
( ( relstr_set_smaller(X25,X26,X27)
| X27 != join_on_relstr(X25,X26)
| ~ ex_sup_of_relstr_set(X25,X26)
| ~ element(X27,the_carrier(X25))
| ~ rel_str(X25) )
& ( ~ element(X28,the_carrier(X25))
| ~ relstr_set_smaller(X25,X26,X28)
| related(X25,X27,X28)
| X27 != join_on_relstr(X25,X26)
| ~ ex_sup_of_relstr_set(X25,X26)
| ~ element(X27,the_carrier(X25))
| ~ rel_str(X25) )
& ( element(esk1_3(X25,X26,X27),the_carrier(X25))
| ~ relstr_set_smaller(X25,X26,X27)
| X27 = join_on_relstr(X25,X26)
| ~ ex_sup_of_relstr_set(X25,X26)
| ~ element(X27,the_carrier(X25))
| ~ rel_str(X25) )
& ( relstr_set_smaller(X25,X26,esk1_3(X25,X26,X27))
| ~ relstr_set_smaller(X25,X26,X27)
| X27 = join_on_relstr(X25,X26)
| ~ ex_sup_of_relstr_set(X25,X26)
| ~ element(X27,the_carrier(X25))
| ~ rel_str(X25) )
& ( ~ related(X25,X27,esk1_3(X25,X26,X27))
| ~ relstr_set_smaller(X25,X26,X27)
| X27 = join_on_relstr(X25,X26)
| ~ ex_sup_of_relstr_set(X25,X26)
| ~ element(X27,the_carrier(X25))
| ~ rel_str(X25) ) ),
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_5,plain,
! [X30,X31] :
( ~ rel_str(X30)
| element(join_on_relstr(X30,X31),the_carrier(X30)) ),
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,
! [X48] :
( 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(X48,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X48)
| related(esk7_0,esk8_0,X48)
| 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(X48,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X48)
| related(esk7_0,esk8_0,X48)
| 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(X48,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X48)
| related(esk7_0,esk8_0,X48)
| 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(X48,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X48)
| related(esk7_0,esk8_0,X48)
| 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(X48,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X48)
| related(esk7_0,esk8_0,X48)
| ~ 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(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_10,plain,
! [X37,X38,X40,X41,X42] :
( ( element(esk5_2(X37,X38),the_carrier(X37))
| ~ ex_sup_of_relstr_set(X37,X38)
| ~ antisymmetric_relstr(X37)
| ~ rel_str(X37) )
& ( relstr_set_smaller(X37,X38,esk5_2(X37,X38))
| ~ ex_sup_of_relstr_set(X37,X38)
| ~ antisymmetric_relstr(X37)
| ~ rel_str(X37) )
& ( ~ element(X40,the_carrier(X37))
| ~ relstr_set_smaller(X37,X38,X40)
| related(X37,esk5_2(X37,X38),X40)
| ~ ex_sup_of_relstr_set(X37,X38)
| ~ antisymmetric_relstr(X37)
| ~ rel_str(X37) )
& ( element(esk6_3(X37,X41,X42),the_carrier(X37))
| ~ element(X42,the_carrier(X37))
| ~ relstr_set_smaller(X37,X41,X42)
| ex_sup_of_relstr_set(X37,X41)
| ~ antisymmetric_relstr(X37)
| ~ rel_str(X37) )
& ( relstr_set_smaller(X37,X41,esk6_3(X37,X41,X42))
| ~ element(X42,the_carrier(X37))
| ~ relstr_set_smaller(X37,X41,X42)
| ex_sup_of_relstr_set(X37,X41)
| ~ antisymmetric_relstr(X37)
| ~ rel_str(X37) )
& ( ~ related(X37,X42,esk6_3(X37,X41,X42))
| ~ element(X42,the_carrier(X37))
| ~ relstr_set_smaller(X37,X41,X42)
| ex_sup_of_relstr_set(X37,X41)
| ~ antisymmetric_relstr(X37)
| ~ rel_str(X37) ) ),
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])])])])])]) ).
cnf(c_0_11,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_12,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_13,negated_conjecture,
rel_str(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,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_10]) ).
cnf(c_0_15,negated_conjecture,
element(esk8_0,the_carrier(esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
antisymmetric_relstr(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,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_11,c_0_12]),c_0_13])]) ).
cnf(c_0_18,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_19,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_10]) ).
cnf(c_0_20,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_21,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,X1)
| element(esk6_3(esk7_0,X1,esk8_0),the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,X1,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_13])]) ).
cnf(c_0_22,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk8_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( relstr_set_smaller(esk7_0,X1,esk6_3(esk7_0,X1,esk8_0))
| ex_sup_of_relstr_set(esk7_0,X1)
| ~ relstr_set_smaller(esk7_0,X1,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_16]),c_0_13])]) ).
cnf(c_0_24,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_25,negated_conjecture,
( join_on_relstr(esk7_0,X1) = esk8_0
| element(esk1_3(esk7_0,X1,esk8_0),the_carrier(esk7_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(spm,[status(thm)],[c_0_20,c_0_15]),c_0_13])]) ).
cnf(c_0_26,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(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,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(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_28,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_29,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_10]) ).
cnf(c_0_30,negated_conjecture,
( related(esk7_0,esk8_0,X1)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ~ element(X1,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X1)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_31,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_24,c_0_22])]) ).
cnf(c_0_32,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_22])]) ).
cnf(c_0_33,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(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)],[inference(spm,[status(thm)],[c_0_25,c_0_27]),c_0_22])]) ).
cnf(c_0_34,negated_conjecture,
( join_on_relstr(esk7_0,X1) = esk8_0
| relstr_set_smaller(esk7_0,X1,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(spm,[status(thm)],[c_0_28,c_0_15]),c_0_13])]) ).
cnf(c_0_35,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,X1)
| ~ related(esk7_0,esk8_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(spm,[status(thm)],[c_0_29,c_0_15]),c_0_16]),c_0_13])]) ).
cnf(c_0_36,negated_conjecture,
( related(esk7_0,esk8_0,X1)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_22])]) ).
cnf(c_0_37,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26]) ).
cnf(c_0_38,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_27]) ).
cnf(c_0_39,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))
| element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_26]),c_0_22])]) ).
cnf(c_0_40,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(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)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_22])]) ).
cnf(c_0_41,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,esk9_0)
| ~ related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_22]) ).
cnf(c_0_42,negated_conjecture,
( related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_39]),c_0_26]) ).
cnf(c_0_44,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_40]),c_0_27]) ).
cnf(c_0_45,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ex_sup_of_relstr_set(esk7_0,esk9_0)
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_43]),c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_45]),c_0_22])]) ).
cnf(c_0_48,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_46]) ).
cnf(c_0_49,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_50,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_47]),c_0_45]) ).
cnf(c_0_51,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))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_48]),c_0_22])]) ).
cnf(c_0_52,negated_conjecture,
( join_on_relstr(esk7_0,X1) = esk8_0
| ~ related(esk7_0,esk8_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(spm,[status(thm)],[c_0_49,c_0_15]),c_0_13])]) ).
cnf(c_0_53,negated_conjecture,
( related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_51]),c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| ~ related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_26]),c_0_22])]) ).
cnf(c_0_56,negated_conjecture,
( related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| ~ related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_27]),c_0_22])]) ).
cnf(c_0_58,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_58]),c_0_26]) ).
cnf(c_0_61,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_59]),c_0_27]) ).
cnf(c_0_62,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_63,negated_conjecture,
( related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_60]),c_0_61]) ).
cnf(c_0_64,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_65,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_62,c_0_22])]) ).
cnf(c_0_66,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_63]) ).
cnf(c_0_67,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_64]),c_0_8]) ).
cnf(c_0_68,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| element(esk10_0,the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_40]),c_0_27]) ).
cnf(c_0_69,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_66]),c_0_22])]),c_0_56]) ).
cnf(c_0_70,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_71,negated_conjecture,
( related(esk7_0,join_on_relstr(esk7_0,X1),esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| ~ relstr_set_smaller(esk7_0,X1,esk10_0)
| ~ ex_sup_of_relstr_set(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_13])]) ).
cnf(c_0_72,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk10_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_69]),c_0_66]) ).
cnf(c_0_73,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_70,c_0_22])]) ).
cnf(c_0_74,negated_conjecture,
( related(esk7_0,join_on_relstr(esk7_0,esk9_0),esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_27]),c_0_72])]) ).
cnf(c_0_75,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| ~ related(esk7_0,esk8_0,esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_40]),c_0_27]) ).
cnf(c_0_76,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_77,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_40]),c_0_75]) ).
cnf(c_0_78,negated_conjecture,
( 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_26]),c_0_41]) ).
cnf(c_0_79,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)],[inference(spm,[status(thm)],[c_0_34,c_0_78]),c_0_22])]) ).
cnf(c_0_80,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| element(esk10_0,the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_79]),c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( related(esk7_0,join_on_relstr(esk7_0,X1),esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| ~ relstr_set_smaller(esk7_0,X1,esk10_0)
| ~ ex_sup_of_relstr_set(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_80]),c_0_13])]) ).
cnf(c_0_82,negated_conjecture,
( related(esk7_0,join_on_relstr(esk7_0,esk9_0),esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_78]),c_0_72])]) ).
cnf(c_0_83,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| ~ related(esk7_0,esk8_0,esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_79]),c_0_78]) ).
cnf(c_0_84,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_85,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_79]),c_0_83]) ).
cnf(c_0_86,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0))
| ~ element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_87,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| element(esk10_0,the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_33]),c_0_27]) ).
cnf(c_0_88,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| element(esk10_0,the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_57]) ).
cnf(c_0_89,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| element(esk10_0,the_carrier(esk7_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_88]),c_0_27]) ).
cnf(c_0_90,negated_conjecture,
( related(esk7_0,join_on_relstr(esk7_0,X1),esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| ~ relstr_set_smaller(esk7_0,X1,esk10_0)
| ~ ex_sup_of_relstr_set(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_89]),c_0_13])]) ).
cnf(c_0_91,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| related(esk7_0,esk8_0,esk10_0)
| ~ element(esk10_0,the_carrier(esk7_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_72]) ).
cnf(c_0_92,negated_conjecture,
( related(esk7_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X1)
| ~ 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_93,negated_conjecture,
( related(esk7_0,join_on_relstr(esk7_0,esk9_0),esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_27]),c_0_72])]) ).
cnf(c_0_94,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| related(esk7_0,esk8_0,esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_91,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( related(esk7_0,esk8_0,X1)
| ~ related(esk7_0,esk8_0,esk10_0)
| ~ relstr_set_smaller(esk7_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_22])]) ).
cnf(c_0_96,negated_conjecture,
( related(esk7_0,esk8_0,esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| ~ related(esk7_0,esk8_0,esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_33]),c_0_27]) ).
cnf(c_0_98,negated_conjecture,
( related(esk7_0,esk8_0,X1)
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk7_0)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
| element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
( related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0))
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_85])]) ).
cnf(c_0_101,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) = esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_100]) ).
cnf(c_0_102,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_101]),c_0_27]),c_0_96]) ).
cnf(c_0_103,negated_conjecture,
ex_sup_of_relstr_set(esk7_0,esk9_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_102]),c_0_26]),c_0_41]) ).
cnf(c_0_104,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_65,c_0_103])]) ).
cnf(c_0_105,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)],[inference(spm,[status(thm)],[c_0_25,c_0_103]),c_0_22])]) ).
cnf(c_0_106,negated_conjecture,
( element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| element(esk10_0,the_carrier(esk7_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_107,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_103]),c_0_22])]) ).
cnf(c_0_108,negated_conjecture,
element(esk10_0,the_carrier(esk7_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_106]),c_0_107]),c_0_104]) ).
cnf(c_0_109,negated_conjecture,
( related(esk7_0,join_on_relstr(esk7_0,X1),esk10_0)
| ~ relstr_set_smaller(esk7_0,X1,esk10_0)
| ~ ex_sup_of_relstr_set(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_108]),c_0_13])]) ).
cnf(c_0_110,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_73,c_0_103])]) ).
cnf(c_0_111,negated_conjecture,
related(esk7_0,join_on_relstr(esk7_0,esk9_0),esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_103]),c_0_72])]) ).
cnf(c_0_112,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_91,c_0_108])]) ).
cnf(c_0_113,negated_conjecture,
( element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| ~ related(esk7_0,esk8_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_105]) ).
cnf(c_0_114,negated_conjecture,
related(esk7_0,esk8_0,esk10_0),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]) ).
cnf(c_0_116,negated_conjecture,
join_on_relstr(esk7_0,esk9_0) != esk8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_114])]) ).
cnf(c_0_117,negated_conjecture,
related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_115])]),c_0_116]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_117])]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.40 % Problem : SEU359+1 : TPTP v9.2.1. Released v3.3.0.
% 0.07/0.40 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.65 % Computer : n014.cluster.edu
% 0.13/0.65 % Model : x86_64 x86_64
% 0.13/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.65 % Memory : 8042.1875MB
% 0.13/0.65 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.65 % CPULimit : 300
% 0.13/0.65 % WCLimit : 300
% 0.13/0.65 % DateTime : Tue May 5 02:59:37 EDT 2026
% 0.13/0.67 % CPUTime :
% 0.13/0.69 % start to proof: theBenchmark
% 1.33/2.17 % Version : CSE_E---1.7
% 1.33/2.17 % Problem : theBenchmark.p
% 1.33/2.17 % SZS status Theorem for theBenchmark.p
% 1.33/2.17 % SZS output start CNFRefutation
% See solution above
% 1.33/2.17 % Total time : 1.388s
%------------------------------------------------------------------------------