%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU360+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 : n008.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 17.26s 11.94s
% Output : CNFRefutation 17.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 90 ( 15 unt; 0 def)
% Number of atoms : 338 ( 6 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 415 ( 167 ~; 184 |; 40 &)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 96 ( 0 sgn 48 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t42_yellow_0,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ( ex_sup_of_relstr_set(X1,empty_set)
& ex_inf_of_relstr_set(X1,the_carrier(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(d4_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ( lower_bounded_relstr(X1)
<=> ? [X2] :
( element(X2,the_carrier(X1))
& relstr_element_smaller(X1,the_carrier(X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_yellow_0) ).
fof(t16_yellow_0,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_element_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
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(t6_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_set_smaller(X1,empty_set,X2)
& relstr_element_smaller(X1,empty_set,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(d8_lattice3,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X2)
=> related(X1,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ( ex_sup_of_relstr_set(X1,empty_set)
& ex_inf_of_relstr_set(X1,the_carrier(X1)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t42_yellow_0])]) ).
fof(c_0_13,plain,
! [X47,X49] :
( ( element(esk1_1(X47),the_carrier(X47))
| ~ lower_bounded_relstr(X47)
| ~ rel_str(X47) )
& ( relstr_element_smaller(X47,the_carrier(X47),esk1_1(X47))
| ~ lower_bounded_relstr(X47)
| ~ rel_str(X47) )
& ( ~ element(X49,the_carrier(X47))
| ~ relstr_element_smaller(X47,the_carrier(X47),X49)
| lower_bounded_relstr(X47)
| ~ rel_str(X47) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_yellow_0])])])])]) ).
fof(c_0_14,negated_conjecture,
( ~ empty_carrier(esk14_0)
& antisymmetric_relstr(esk14_0)
& lower_bounded_relstr(esk14_0)
& rel_str(esk14_0)
& ( ~ ex_sup_of_relstr_set(esk14_0,empty_set)
| ~ ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_15,plain,
! [X72,X73,X75,X76,X77] :
( ( element(esk12_2(X72,X73),the_carrier(X72))
| ~ ex_inf_of_relstr_set(X72,X73)
| ~ antisymmetric_relstr(X72)
| ~ rel_str(X72) )
& ( relstr_element_smaller(X72,X73,esk12_2(X72,X73))
| ~ ex_inf_of_relstr_set(X72,X73)
| ~ antisymmetric_relstr(X72)
| ~ rel_str(X72) )
& ( ~ element(X75,the_carrier(X72))
| ~ relstr_element_smaller(X72,X73,X75)
| related(X72,X75,esk12_2(X72,X73))
| ~ ex_inf_of_relstr_set(X72,X73)
| ~ antisymmetric_relstr(X72)
| ~ rel_str(X72) )
& ( element(esk13_3(X72,X76,X77),the_carrier(X72))
| ~ element(X77,the_carrier(X72))
| ~ relstr_element_smaller(X72,X76,X77)
| ex_inf_of_relstr_set(X72,X76)
| ~ antisymmetric_relstr(X72)
| ~ rel_str(X72) )
& ( relstr_element_smaller(X72,X76,esk13_3(X72,X76,X77))
| ~ element(X77,the_carrier(X72))
| ~ relstr_element_smaller(X72,X76,X77)
| ex_inf_of_relstr_set(X72,X76)
| ~ antisymmetric_relstr(X72)
| ~ rel_str(X72) )
& ( ~ related(X72,esk13_3(X72,X76,X77),X77)
| ~ element(X77,the_carrier(X72))
| ~ relstr_element_smaller(X72,X76,X77)
| ex_inf_of_relstr_set(X72,X76)
| ~ antisymmetric_relstr(X72)
| ~ rel_str(X72) ) ),
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)],[t16_yellow_0])])])])])]) ).
cnf(c_0_16,plain,
( element(esk1_1(X1),the_carrier(X1))
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
lower_bounded_relstr(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
rel_str(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X84] :
( ~ empty(X84)
| X84 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
cnf(c_0_20,plain,
( relstr_element_smaller(X1,X2,esk13_3(X1,X2,X3))
| ex_inf_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
element(esk1_1(esk14_0),the_carrier(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_22,negated_conjecture,
antisymmetric_relstr(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( relstr_element_smaller(X1,the_carrier(X1),esk1_1(X1))
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_24,plain,
! [X65,X66,X68,X69,X70] :
( ( element(esk10_2(X65,X66),the_carrier(X65))
| ~ ex_sup_of_relstr_set(X65,X66)
| ~ antisymmetric_relstr(X65)
| ~ rel_str(X65) )
& ( relstr_set_smaller(X65,X66,esk10_2(X65,X66))
| ~ ex_sup_of_relstr_set(X65,X66)
| ~ antisymmetric_relstr(X65)
| ~ rel_str(X65) )
& ( ~ element(X68,the_carrier(X65))
| ~ relstr_set_smaller(X65,X66,X68)
| related(X65,esk10_2(X65,X66),X68)
| ~ ex_sup_of_relstr_set(X65,X66)
| ~ antisymmetric_relstr(X65)
| ~ rel_str(X65) )
& ( element(esk11_3(X65,X69,X70),the_carrier(X65))
| ~ element(X70,the_carrier(X65))
| ~ relstr_set_smaller(X65,X69,X70)
| ex_sup_of_relstr_set(X65,X69)
| ~ antisymmetric_relstr(X65)
| ~ rel_str(X65) )
& ( relstr_set_smaller(X65,X69,esk11_3(X65,X69,X70))
| ~ element(X70,the_carrier(X65))
| ~ relstr_set_smaller(X65,X69,X70)
| ex_sup_of_relstr_set(X65,X69)
| ~ antisymmetric_relstr(X65)
| ~ rel_str(X65) )
& ( ~ related(X65,X70,esk11_3(X65,X69,X70))
| ~ element(X70,the_carrier(X65))
| ~ relstr_set_smaller(X65,X69,X70)
| ex_sup_of_relstr_set(X65,X69)
| ~ antisymmetric_relstr(X65)
| ~ rel_str(X65) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_yellow_0])])])])])]) ).
fof(c_0_25,plain,
! [X85,X86] :
( ( relstr_set_smaller(X85,empty_set,X86)
| ~ element(X86,the_carrier(X85))
| ~ rel_str(X85) )
& ( relstr_element_smaller(X85,empty_set,X86)
| ~ element(X86,the_carrier(X85))
| ~ rel_str(X85) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_yellow_0])])])]) ).
cnf(c_0_26,plain,
( element(esk13_3(X1,X2,X3),the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk14_0,empty_set)
| ~ ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( ex_inf_of_relstr_set(esk14_0,X1)
| relstr_element_smaller(esk14_0,X1,esk13_3(esk14_0,X1,esk1_1(esk14_0)))
| ~ relstr_element_smaller(esk14_0,X1,esk1_1(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_18])]) ).
cnf(c_0_30,negated_conjecture,
relstr_element_smaller(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_18])]) ).
cnf(c_0_31,plain,
( element(esk11_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( relstr_set_smaller(X1,empty_set,X2)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( ex_inf_of_relstr_set(esk14_0,X1)
| element(esk13_3(esk14_0,X1,esk1_1(esk14_0)),the_carrier(esk14_0))
| ~ relstr_element_smaller(esk14_0,X1,esk1_1(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_22]),c_0_18])]) ).
fof(c_0_34,plain,
! [X50,X51,X52,X53] :
( ( ~ relstr_element_smaller(X50,X51,X52)
| ~ element(X53,the_carrier(X50))
| ~ in(X53,X51)
| related(X50,X52,X53)
| ~ element(X52,the_carrier(X50))
| ~ rel_str(X50) )
& ( element(esk2_3(X50,X51,X52),the_carrier(X50))
| relstr_element_smaller(X50,X51,X52)
| ~ element(X52,the_carrier(X50))
| ~ rel_str(X50) )
& ( in(esk2_3(X50,X51,X52),X51)
| relstr_element_smaller(X50,X51,X52)
| ~ element(X52,the_carrier(X50))
| ~ rel_str(X50) )
& ( ~ related(X50,X52,esk2_3(X50,X51,X52))
| relstr_element_smaller(X50,X51,X52)
| ~ element(X52,the_carrier(X50))
| ~ rel_str(X50) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_lattice3])])])])]) ).
cnf(c_0_35,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))
| ~ ex_sup_of_relstr_set(esk14_0,X1)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))
| relstr_element_smaller(esk14_0,the_carrier(esk14_0),esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( ex_sup_of_relstr_set(esk14_0,X1)
| element(esk11_3(esk14_0,X1,esk1_1(esk14_0)),the_carrier(esk14_0))
| ~ relstr_set_smaller(esk14_0,X1,esk1_1(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_22]),c_0_18])]) ).
cnf(c_0_38,negated_conjecture,
relstr_set_smaller(esk14_0,empty_set,esk1_1(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_18])]) ).
cnf(c_0_39,negated_conjecture,
( ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))
| element(esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),the_carrier(esk14_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_40,plain,
( related(X1,X3,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ in(X4,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( relstr_element_smaller(esk14_0,the_carrier(esk14_0),esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)))
| ~ ex_sup_of_relstr_set(esk14_0,X1)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( ex_sup_of_relstr_set(esk14_0,empty_set)
| element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_44,negated_conjecture,
( element(esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),the_carrier(esk14_0))
| ~ ex_sup_of_relstr_set(esk14_0,X1)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
fof(c_0_45,plain,
! [X81,X82] :
( ~ element(X81,X82)
| empty(X82)
| in(X81,X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_46,plain,
( ex_inf_of_relstr_set(X1,X2)
| ~ related(X1,esk13_3(X1,X2,X3),X3)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_47,negated_conjecture,
( related(esk14_0,X1,esk1_1(esk14_0))
| ~ relstr_element_smaller(esk14_0,X2,X1)
| ~ element(X1,the_carrier(esk14_0))
| ~ in(esk1_1(esk14_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_21]),c_0_18])]) ).
cnf(c_0_48,negated_conjecture,
( relstr_element_smaller(esk14_0,the_carrier(esk14_0),esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)))
| element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_49,negated_conjecture,
( element(esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),the_carrier(esk14_0))
| element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_43])]) ).
cnf(c_0_50,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_51,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_52,negated_conjecture,
( ex_inf_of_relstr_set(esk14_0,X1)
| ~ related(esk14_0,esk13_3(esk14_0,X1,esk1_1(esk14_0)),esk1_1(esk14_0))
| ~ relstr_element_smaller(esk14_0,X1,esk1_1(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_21]),c_0_22]),c_0_18])]) ).
cnf(c_0_53,negated_conjecture,
( related(esk14_0,esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),esk1_1(esk14_0))
| element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0))
| ~ in(esk1_1(esk14_0),the_carrier(esk14_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( empty(the_carrier(esk14_0))
| in(esk1_1(esk14_0),the_carrier(esk14_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_21]) ).
fof(c_0_55,plain,
! [X60] :
( empty_carrier(X60)
| ~ one_sorted_str(X60)
| ~ empty(the_carrier(X60)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])]) ).
cnf(c_0_56,negated_conjecture,
( ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))
| ~ related(esk14_0,esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),esk1_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_30]) ).
cnf(c_0_57,negated_conjecture,
( related(esk14_0,esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),esk1_1(esk14_0))
| element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0))
| empty(the_carrier(esk14_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0))
| ~ ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_42]) ).
cnf(c_0_59,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0))
| empty(the_carrier(esk14_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
~ empty_carrier(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_62,plain,
! [X55] :
( ~ rel_str(X55)
| one_sorted_str(X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_63,negated_conjecture,
( element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0))
| ~ one_sorted_str(esk14_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_64,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_65,plain,
! [X89,X90] :
( ~ empty(X89)
| X89 = X90
| ~ empty(X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
cnf(c_0_66,negated_conjecture,
element(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_18])]) ).
cnf(c_0_67,plain,
( ex_sup_of_relstr_set(X1,X3)
| ~ related(X1,X2,esk11_3(X1,X3,X2))
| ~ element(X2,the_carrier(X1))
| ~ relstr_set_smaller(X1,X3,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_68,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( related(esk14_0,X1,esk11_3(esk14_0,empty_set,esk1_1(esk14_0)))
| ~ relstr_element_smaller(esk14_0,X2,X1)
| ~ element(X1,the_carrier(esk14_0))
| ~ in(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_66]),c_0_18])]) ).
cnf(c_0_70,negated_conjecture,
( empty(the_carrier(esk14_0))
| in(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( ex_sup_of_relstr_set(esk14_0,X1)
| ~ relstr_set_smaller(esk14_0,X1,esk1_1(esk14_0))
| ~ related(esk14_0,esk1_1(esk14_0),esk11_3(esk14_0,X1,esk1_1(esk14_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_21]),c_0_22]),c_0_18])]) ).
cnf(c_0_72,negated_conjecture,
( relstr_set_smaller(esk14_0,X1,esk1_1(esk14_0))
| ~ empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_68]),c_0_43])]) ).
cnf(c_0_73,negated_conjecture,
( related(esk14_0,esk1_1(esk14_0),esk11_3(esk14_0,empty_set,esk1_1(esk14_0)))
| ~ in(esk11_3(esk14_0,empty_set,esk1_1(esk14_0)),the_carrier(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_30]),c_0_21])]) ).
cnf(c_0_74,negated_conjecture,
( empty(the_carrier(esk14_0))
| in(esk11_3(esk14_0,X1,esk1_1(esk14_0)),the_carrier(esk14_0))
| ~ empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_43])]) ).
cnf(c_0_75,negated_conjecture,
( ex_sup_of_relstr_set(esk14_0,X1)
| ~ related(esk14_0,esk1_1(esk14_0),esk11_3(esk14_0,X1,esk1_1(esk14_0)))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( related(esk14_0,esk1_1(esk14_0),esk11_3(esk14_0,empty_set,esk1_1(esk14_0)))
| empty(the_carrier(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_43])]) ).
cnf(c_0_77,negated_conjecture,
( ex_sup_of_relstr_set(esk14_0,empty_set)
| empty(the_carrier(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_43])]) ).
cnf(c_0_78,negated_conjecture,
( relstr_element_smaller(esk14_0,the_carrier(esk14_0),esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)))
| empty(the_carrier(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_77]),c_0_43])]) ).
cnf(c_0_79,negated_conjecture,
( element(esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),the_carrier(esk14_0))
| empty(the_carrier(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_77]),c_0_43])]) ).
cnf(c_0_80,negated_conjecture,
( relstr_element_smaller(esk14_0,the_carrier(esk14_0),esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)))
| ~ one_sorted_str(esk14_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_78]),c_0_61]) ).
cnf(c_0_81,negated_conjecture,
( element(esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),the_carrier(esk14_0))
| ~ one_sorted_str(esk14_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_79]),c_0_61]) ).
cnf(c_0_82,negated_conjecture,
relstr_element_smaller(esk14_0,the_carrier(esk14_0),esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_64]),c_0_18])]) ).
cnf(c_0_83,negated_conjecture,
element(esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),the_carrier(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_64]),c_0_18])]) ).
cnf(c_0_84,negated_conjecture,
( related(esk14_0,esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),esk1_1(esk14_0))
| ~ in(esk1_1(esk14_0),the_carrier(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_82]),c_0_83])]) ).
cnf(c_0_85,negated_conjecture,
( related(esk14_0,esk13_3(esk14_0,the_carrier(esk14_0),esk1_1(esk14_0)),esk1_1(esk14_0))
| empty(the_carrier(esk14_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_54]) ).
cnf(c_0_86,negated_conjecture,
( empty(the_carrier(esk14_0))
| ~ ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_77]) ).
cnf(c_0_87,negated_conjecture,
empty(the_carrier(esk14_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_85]),c_0_86]) ).
cnf(c_0_88,negated_conjecture,
~ one_sorted_str(esk14_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_87]),c_0_61]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_64]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU360+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % 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
% 0.16/0.32 % Computer : n008.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 02:59:28 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 17.26/11.94 % Version : CSE_E---1.7
% 17.26/11.94 % Problem : theBenchmark.p
% 17.26/11.94 % SZS status Theorem for theBenchmark.p
% 17.26/11.94 % SZS output start CNFRefutation
% See solution above
% 17.26/11.97 % Total time : 10.382s
%------------------------------------------------------------------------------