%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU356+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 : n004.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 05:11:42 PM UTC 2026
% Result : Theorem 4.87s 3.48s
% Output : CNFRefutation 4.98s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(t15_yellow_0,conjecture,
! [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(d7_yellow_0,axiom,
! [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) ) )
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( relstr_set_smaller(X1,X2,X4)
& ! [X5] :
( element(X5,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X5)
=> related(X1,X4,X5) ) ) )
=> X4 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_yellow_0) ).
fof(t25_orders_2,axiom,
! [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/benchmark/theBenchmark.p',t25_orders_2) ).
fof(c_0_3,negated_conjecture,
~ ! [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) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t15_yellow_0]) ).
fof(c_0_4,negated_conjecture,
! [X42,X45] :
( antisymmetric_relstr(esk8_0)
& rel_str(esk8_0)
& ( element(esk10_1(X42),the_carrier(esk8_0))
| ~ element(X42,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X42)
| ~ ex_sup_of_relstr_set(esk8_0,esk9_0) )
& ( relstr_set_smaller(esk8_0,esk9_0,esk10_1(X42))
| ~ element(X42,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X42)
| ~ ex_sup_of_relstr_set(esk8_0,esk9_0) )
& ( ~ related(esk8_0,X42,esk10_1(X42))
| ~ element(X42,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X42)
| ~ ex_sup_of_relstr_set(esk8_0,esk9_0) )
& ( element(esk11_0,the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) )
& ( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| ex_sup_of_relstr_set(esk8_0,esk9_0) )
& ( ~ element(X45,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X45)
| related(esk8_0,esk11_0,X45)
| ex_sup_of_relstr_set(esk8_0,esk9_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_3])])])])]) ).
fof(c_0_5,plain,
! [X24,X25,X27,X28,X30,X31,X34] :
( ( element(esk1_2(X24,X25),the_carrier(X24))
| ~ ex_sup_of_relstr_set(X24,X25)
| ~ rel_str(X24) )
& ( relstr_set_smaller(X24,X25,esk1_2(X24,X25))
| ~ ex_sup_of_relstr_set(X24,X25)
| ~ rel_str(X24) )
& ( ~ element(X27,the_carrier(X24))
| ~ relstr_set_smaller(X24,X25,X27)
| related(X24,esk1_2(X24,X25),X27)
| ~ ex_sup_of_relstr_set(X24,X25)
| ~ rel_str(X24) )
& ( element(esk2_3(X24,X25,X28),the_carrier(X24))
| ~ relstr_set_smaller(X24,X25,X28)
| X28 = esk1_2(X24,X25)
| ~ element(X28,the_carrier(X24))
| ~ ex_sup_of_relstr_set(X24,X25)
| ~ rel_str(X24) )
& ( relstr_set_smaller(X24,X25,esk2_3(X24,X25,X28))
| ~ relstr_set_smaller(X24,X25,X28)
| X28 = esk1_2(X24,X25)
| ~ element(X28,the_carrier(X24))
| ~ ex_sup_of_relstr_set(X24,X25)
| ~ rel_str(X24) )
& ( ~ related(X24,X28,esk2_3(X24,X25,X28))
| ~ relstr_set_smaller(X24,X25,X28)
| X28 = esk1_2(X24,X25)
| ~ element(X28,the_carrier(X24))
| ~ ex_sup_of_relstr_set(X24,X25)
| ~ rel_str(X24) )
& ( element(esk4_3(X24,X30,X31),the_carrier(X24))
| element(esk3_3(X24,X30,X31),the_carrier(X24))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( relstr_set_smaller(X24,X30,esk4_3(X24,X30,X31))
| element(esk3_3(X24,X30,X31),the_carrier(X24))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( ~ element(X34,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X34)
| related(X24,esk4_3(X24,X30,X31),X34)
| element(esk3_3(X24,X30,X31),the_carrier(X24))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( esk4_3(X24,X30,X31) != X31
| element(esk3_3(X24,X30,X31),the_carrier(X24))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( element(esk4_3(X24,X30,X31),the_carrier(X24))
| relstr_set_smaller(X24,X30,esk3_3(X24,X30,X31))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( relstr_set_smaller(X24,X30,esk4_3(X24,X30,X31))
| relstr_set_smaller(X24,X30,esk3_3(X24,X30,X31))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( ~ element(X34,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X34)
| related(X24,esk4_3(X24,X30,X31),X34)
| relstr_set_smaller(X24,X30,esk3_3(X24,X30,X31))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( esk4_3(X24,X30,X31) != X31
| relstr_set_smaller(X24,X30,esk3_3(X24,X30,X31))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( element(esk4_3(X24,X30,X31),the_carrier(X24))
| ~ related(X24,X31,esk3_3(X24,X30,X31))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( relstr_set_smaller(X24,X30,esk4_3(X24,X30,X31))
| ~ related(X24,X31,esk3_3(X24,X30,X31))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( ~ element(X34,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X34)
| related(X24,esk4_3(X24,X30,X31),X34)
| ~ related(X24,X31,esk3_3(X24,X30,X31))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) )
& ( esk4_3(X24,X30,X31) != X31
| ~ related(X24,X31,esk3_3(X24,X30,X31))
| ~ element(X31,the_carrier(X24))
| ~ relstr_set_smaller(X24,X30,X31)
| ex_sup_of_relstr_set(X24,X30)
| ~ rel_str(X24) ) ),
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)],[d7_yellow_0])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( element(esk10_1(X1),the_carrier(esk8_0))
| ~ element(X1,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( element(esk11_0,the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( relstr_set_smaller(X1,X2,esk1_2(X1,X2))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
rel_str(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( element(esk1_2(X1,X2),the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( element(esk10_1(X1),the_carrier(esk8_0))
| element(esk11_0,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk11_0,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_9])]) ).
cnf(c_0_13,negated_conjecture,
( element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| element(esk11_0,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_7]),c_0_9])]) ).
cnf(c_0_14,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| ~ element(X1,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( ~ related(esk8_0,X1,esk10_1(X1))
| ~ element(X1,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( related(X2,esk1_2(X2,X3),X1)
| ~ element(X1,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk11_0,the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| element(esk11_0,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( element(esk11_0,the_carrier(esk8_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( related(esk8_0,esk1_2(esk8_0,X1),esk10_1(esk1_2(esk8_0,esk9_0)))
| element(esk11_0,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,esk9_0)))
| ~ ex_sup_of_relstr_set(esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_9])]) ).
cnf(c_0_21,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| element(esk11_0,the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_13]) ).
cnf(c_0_22,negated_conjecture,
( element(esk11_0,the_carrier(esk8_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_13]) ).
cnf(c_0_23,plain,
( element(esk4_3(X1,X2,X3),the_carrier(X1))
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
element(esk11_0,the_carrier(esk8_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_7]),c_0_21]),c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,plain,
( element(esk4_3(X1,X2,X3),the_carrier(X1))
| element(esk3_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)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,negated_conjecture,
( relstr_set_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
| element(esk4_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_9])]) ).
cnf(c_0_28,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_25]),c_0_9])]) ).
cnf(c_0_29,negated_conjecture,
( element(esk4_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_9])]) ).
cnf(c_0_30,plain,
( element(esk4_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_31,plain,
( relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| element(esk3_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)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( element(esk4_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,X1,esk11_0))
| ~ relstr_set_smaller(esk8_0,X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_9])]) ).
cnf(c_0_35,negated_conjecture,
( relstr_set_smaller(esk8_0,X1,esk4_3(esk8_0,X1,esk11_0))
| element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_24]),c_0_9])]) ).
cnf(c_0_36,negated_conjecture,
( related(esk8_0,esk11_0,X1)
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ element(X1,the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_32]),c_0_9])]) ).
cnf(c_0_38,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_33]),c_0_9])]) ).
cnf(c_0_39,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_40,plain,
( related(X2,esk4_3(X2,X3,X4),X1)
| element(esk3_3(X2,X3,X4),the_carrier(X2))
| ex_sup_of_relstr_set(X2,X3)
| ~ element(X1,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X4,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X4)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_41,plain,
! [X46,X47,X48] :
( ~ antisymmetric_relstr(X46)
| ~ rel_str(X46)
| ~ element(X47,the_carrier(X46))
| ~ element(X48,the_carrier(X46))
| ~ related(X46,X47,X48)
| ~ related(X46,X48,X47)
| X47 = X48 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_orders_2])])]) ).
cnf(c_0_42,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_43,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,X1,esk11_0),X2)
| element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,X1,X2)
| ~ element(X2,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_24]),c_0_9])]) ).
cnf(c_0_45,plain,
( 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_41]) ).
cnf(c_0_46,negated_conjecture,
antisymmetric_relstr(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_47,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_42]),c_0_9])]) ).
cnf(c_0_48,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_43]),c_0_9])]) ).
cnf(c_0_49,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_28]) ).
cnf(c_0_50,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_25]) ).
cnf(c_0_51,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| relstr_set_smaller(esk8_0,esk9_0,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_25]),c_0_9])]) ).
cnf(c_0_52,negated_conjecture,
( X1 = esk11_0
| ~ related(esk8_0,esk11_0,X1)
| ~ related(esk8_0,X1,esk11_0)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_24]),c_0_46]),c_0_9])]) ).
cnf(c_0_53,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_47]),c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_24])]) ).
cnf(c_0_55,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_28]) ).
cnf(c_0_56,plain,
( element(esk3_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| esk4_3(X1,X2,X3) != X3
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_57,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_48]),c_0_54]) ).
cnf(c_0_58,plain,
( relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_59,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_24]),c_0_9])]),c_0_25]) ).
cnf(c_0_62,negated_conjecture,
( relstr_set_smaller(esk8_0,X1,esk4_3(esk8_0,X1,esk11_0))
| relstr_set_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_24]),c_0_9])]) ).
cnf(c_0_63,plain,
( related(X2,esk4_3(X2,X3,X4),X1)
| relstr_set_smaller(X2,X3,esk3_3(X2,X3,X4))
| ex_sup_of_relstr_set(X2,X3)
| ~ element(X1,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X4,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X4)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_64,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_59]),c_0_9])]) ).
cnf(c_0_66,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_60]),c_0_9])]) ).
cnf(c_0_68,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_61]),c_0_9])]) ).
cnf(c_0_69,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_28]) ).
cnf(c_0_70,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,X1,esk11_0),X2)
| relstr_set_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,X1,X2)
| ~ element(X2,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_24]),c_0_9])]) ).
cnf(c_0_71,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_48]) ).
cnf(c_0_72,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_73,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_55]) ).
cnf(c_0_74,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_69]),c_0_9])]) ).
cnf(c_0_75,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,X1,esk11_0),esk11_0)
| relstr_set_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ relstr_set_smaller(esk8_0,X1,esk11_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_24]) ).
cnf(c_0_76,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_71]),c_0_72]),c_0_73]) ).
cnf(c_0_77,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_74]),c_0_48]) ).
cnf(c_0_78,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_28]) ).
cnf(c_0_79,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_76]),c_0_9])]) ).
cnf(c_0_81,plain,
( relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| esk4_3(X1,X2,X3) != X3
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_82,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_77]),c_0_48]),c_0_78]) ).
cnf(c_0_83,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_48]) ).
cnf(c_0_84,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_85,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_25]) ).
cnf(c_0_86,plain,
( relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_87,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_24]),c_0_9])]),c_0_25]) ).
cnf(c_0_88,negated_conjecture,
( related(esk8_0,esk1_2(esk8_0,X1),esk10_1(esk1_2(esk8_0,esk9_0)))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,esk9_0)))
| ~ ex_sup_of_relstr_set(esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_83]),c_0_9])]) ).
cnf(c_0_89,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_48]),c_0_51]) ).
cnf(c_0_90,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_48]),c_0_51]) ).
cnf(c_0_91,negated_conjecture,
( relstr_set_smaller(esk8_0,X1,esk4_3(esk8_0,X1,esk11_0))
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,X1,esk11_0))
| ~ relstr_set_smaller(esk8_0,X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_24]),c_0_9])]) ).
cnf(c_0_92,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_87]),c_0_9])]) ).
cnf(c_0_93,plain,
( related(X2,esk4_3(X2,X3,X4),X1)
| ex_sup_of_relstr_set(X2,X3)
| ~ element(X1,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X1)
| ~ related(X2,X4,esk3_3(X2,X3,X4))
| ~ element(X4,the_carrier(X2))
| ~ relstr_set_smaller(X2,X3,X4)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_94,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_25]),c_0_89]),c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_91,c_0_28]) ).
cnf(c_0_96,negated_conjecture,
( related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_92]),c_0_68]) ).
cnf(c_0_97,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,X1,esk11_0),X2)
| ex_sup_of_relstr_set(esk8_0,X1)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,X1,esk11_0))
| ~ relstr_set_smaller(esk8_0,X1,esk11_0)
| ~ relstr_set_smaller(esk8_0,X1,X2)
| ~ element(X2,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_24]),c_0_9])]) ).
cnf(c_0_98,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_28]) ).
cnf(c_0_102,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_98]),c_0_9])]) ).
cnf(c_0_104,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_99]),c_0_9])]) ).
cnf(c_0_107,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_99]) ).
cnf(c_0_108,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_100]),c_0_9])]) ).
cnf(c_0_109,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_96]) ).
cnf(c_0_110,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_48]),c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_103]),c_0_48]) ).
cnf(c_0_112,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_48]) ).
cnf(c_0_113,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_106]),c_0_48]) ).
cnf(c_0_114,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_108]),c_0_48]) ).
cnf(c_0_115,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_28]),c_0_24])]) ).
cnf(c_0_116,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_98]),c_0_110]),c_0_111]) ).
cnf(c_0_117,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_99]),c_0_112]),c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_94]) ).
cnf(c_0_119,plain,
( ex_sup_of_relstr_set(X1,X2)
| esk4_3(X1,X2,X3) != X3
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_120,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_114]),c_0_48]),c_0_115]) ).
cnf(c_0_121,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_55]) ).
cnf(c_0_122,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_116]),c_0_117]),c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_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_119,c_0_120]),c_0_24]),c_0_9])]),c_0_25]),c_0_96]) ).
cnf(c_0_124,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_55]) ).
cnf(c_0_125,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_121]) ).
cnf(c_0_126,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_121]),c_0_9])]) ).
cnf(c_0_127,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_122]) ).
cnf(c_0_128,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_122]),c_0_9])]) ).
cnf(c_0_129,negated_conjecture,
element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_123]),c_0_9])]) ).
cnf(c_0_130,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_122]) ).
cnf(c_0_131,negated_conjecture,
( X1 = esk4_3(esk8_0,esk9_0,esk11_0)
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| ~ related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
| ~ element(X1,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_117]),c_0_46]),c_0_9])]) ).
cnf(c_0_132,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_55]) ).
cnf(c_0_133,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_124]) ).
cnf(c_0_134,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_124]),c_0_9])]) ).
cnf(c_0_135,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_74]) ).
cnf(c_0_136,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_137,negated_conjecture,
( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_128]),c_0_129])]) ).
cnf(c_0_138,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_131,c_0_24]) ).
cnf(c_0_139,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_55]),c_0_24])]) ).
cnf(c_0_140,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_68]) ).
cnf(c_0_141,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_135]),c_0_122]) ).
cnf(c_0_142,negated_conjecture,
element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_122]),c_0_136]),c_0_137]) ).
cnf(c_0_143,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_55]) ).
cnf(c_0_144,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_140]),c_0_122]) ).
cnf(c_0_146,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_141]),c_0_142])]),c_0_143]) ).
cnf(c_0_147,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_146]),c_0_24]),c_0_9])]),c_0_25]) ).
cnf(c_0_149,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_147]),c_0_24]),c_0_9])]),c_0_25]) ).
cnf(c_0_150,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_148]) ).
cnf(c_0_151,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_148]),c_0_9])]) ).
cnf(c_0_152,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_149]) ).
cnf(c_0_153,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_149]),c_0_9])]) ).
cnf(c_0_154,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_129])]) ).
cnf(c_0_155,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_129])]) ).
cnf(c_0_156,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_91,c_0_55]) ).
cnf(c_0_157,negated_conjecture,
( related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_154]),c_0_155]) ).
cnf(c_0_158,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_55]) ).
cnf(c_0_159,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_160,negated_conjecture,
( X1 = esk4_3(esk8_0,esk9_0,esk11_0)
| ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| ~ related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
| ~ element(X1,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_142]),c_0_46]),c_0_9])]) ).
cnf(c_0_161,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_158,c_0_157]) ).
cnf(c_0_162,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_159]),c_0_9])]) ).
cnf(c_0_164,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_160,c_0_24]) ).
cnf(c_0_165,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_55]),c_0_24])]) ).
cnf(c_0_166,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_129])]) ).
cnf(c_0_167,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_166]),c_0_142])]) ).
cnf(c_0_169,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_170,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_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_119,c_0_169]),c_0_24]),c_0_9])]),c_0_25]),c_0_157]) ).
cnf(c_0_171,negated_conjecture,
( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
| element(esk10_1(X1),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_170]) ).
cnf(c_0_172,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_170]),c_0_9])]) ).
cnf(c_0_173,negated_conjecture,
element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_129])]) ).
cnf(c_0_174,negated_conjecture,
( related(esk8_0,esk1_2(esk8_0,X1),esk10_1(esk1_2(esk8_0,esk9_0)))
| ~ relstr_set_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,esk9_0)))
| ~ ex_sup_of_relstr_set(esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_173]),c_0_9])]) ).
cnf(c_0_175,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| relstr_set_smaller(esk8_0,esk9_0,esk11_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_129]),c_0_51]) ).
cnf(c_0_176,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_129]),c_0_51]) ).
cnf(c_0_177,negated_conjecture,
( related(esk8_0,esk1_2(esk8_0,X1),esk10_1(esk1_2(esk8_0,esk9_0)))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,esk9_0)))
| ~ ex_sup_of_relstr_set(esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_155]),c_0_9])]) ).
cnf(c_0_178,negated_conjecture,
relstr_set_smaller(esk8_0,esk9_0,esk11_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_25]),c_0_175]),c_0_176]) ).
cnf(c_0_179,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk11_0)
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_25]),c_0_175]),c_0_176]) ).
cnf(c_0_180,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_178]) ).
cnf(c_0_181,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_179]) ).
cnf(c_0_182,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_180]) ).
cnf(c_0_183,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_180]),c_0_9])]) ).
cnf(c_0_184,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_180]) ).
cnf(c_0_185,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_181]) ).
cnf(c_0_186,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_181]),c_0_9])]) ).
cnf(c_0_187,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_181]) ).
cnf(c_0_188,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_129]),c_0_183]) ).
cnf(c_0_189,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_129]),c_0_183]) ).
cnf(c_0_190,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_179]) ).
cnf(c_0_191,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_129]),c_0_186]) ).
cnf(c_0_192,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_186]),c_0_129])]) ).
cnf(c_0_193,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_178]) ).
cnf(c_0_194,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_180]),c_0_188]),c_0_189]) ).
cnf(c_0_195,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_179]),c_0_24])]) ).
cnf(c_0_196,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_181]),c_0_191]),c_0_192]) ).
cnf(c_0_197,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_193]) ).
cnf(c_0_198,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_194]),c_0_142])]) ).
cnf(c_0_199,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_195]) ).
cnf(c_0_200,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_196]),c_0_142])]) ).
cnf(c_0_201,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_202,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_203,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_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_81,c_0_201]),c_0_178]),c_0_24]),c_0_9])]) ).
cnf(c_0_204,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ex_sup_of_relstr_set(esk8_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_56,c_0_202]),c_0_178]),c_0_24]),c_0_9])]) ).
cnf(c_0_205,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_203]) ).
cnf(c_0_206,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_203]),c_0_9])]) ).
cnf(c_0_207,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_203]) ).
cnf(c_0_208,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_204]) ).
cnf(c_0_209,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_204]),c_0_9])]) ).
cnf(c_0_210,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_204]) ).
cnf(c_0_211,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_129]),c_0_206]) ).
cnf(c_0_212,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_129]),c_0_206]) ).
cnf(c_0_213,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_129])]) ).
cnf(c_0_214,negated_conjecture,
( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_209]),c_0_129])]) ).
cnf(c_0_215,negated_conjecture,
relstr_set_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_203]),c_0_211]),c_0_212]) ).
cnf(c_0_216,negated_conjecture,
element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_204]),c_0_213]),c_0_214]) ).
cnf(c_0_217,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_91,c_0_178]) ).
cnf(c_0_218,negated_conjecture,
( related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_215]),c_0_216])]) ).
cnf(c_0_219,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_220,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk3_3(esk8_0,esk9_0,esk11_0))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_178]) ).
cnf(c_0_221,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_219]) ).
cnf(c_0_222,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_219]),c_0_9])]) ).
cnf(c_0_223,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_219]) ).
cnf(c_0_224,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_220,c_0_218]) ).
cnf(c_0_225,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
| relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_129]),c_0_222]) ).
cnf(c_0_226,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
| ~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_129]),c_0_222]) ).
cnf(c_0_227,negated_conjecture,
( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_178]),c_0_24])]) ).
cnf(c_0_228,negated_conjecture,
relstr_set_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_219]),c_0_225]),c_0_226]) ).
cnf(c_0_229,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| ex_sup_of_relstr_set(esk8_0,esk9_0)
| ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_227]) ).
cnf(c_0_230,negated_conjecture,
( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_228]),c_0_142])]) ).
cnf(c_0_231,negated_conjecture,
( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
| ex_sup_of_relstr_set(esk8_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_232,negated_conjecture,
ex_sup_of_relstr_set(esk8_0,esk9_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_119,c_0_231]),c_0_178]),c_0_24]),c_0_9])]),c_0_218]) ).
cnf(c_0_233,negated_conjecture,
( relstr_set_smaller(esk8_0,esk9_0,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_232])]) ).
cnf(c_0_234,negated_conjecture,
relstr_set_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_232]),c_0_9])]) ).
cnf(c_0_235,negated_conjecture,
( ~ related(esk8_0,X1,esk10_1(X1))
| ~ relstr_set_smaller(esk8_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_232])]) ).
cnf(c_0_236,negated_conjecture,
relstr_set_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_129]),c_0_234])]) ).
cnf(c_0_237,negated_conjecture,
~ related(esk8_0,esk1_2(esk8_0,esk9_0),esk10_1(esk1_2(esk8_0,esk9_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_234]),c_0_129])]) ).
cnf(c_0_238,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_232]),c_0_236])]),c_0_237]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU356+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:59:32 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 4.87/3.48 % Version : CSE_E---1.7
% 4.87/3.48 % Problem : theBenchmark.p
% 4.87/3.48 % SZS status Theorem for theBenchmark.p
% 4.87/3.48 % SZS output start CNFRefutation
% See solution above
% 4.98/3.50 % Total time : 2.369s
%------------------------------------------------------------------------------