TSTP Solution File: SEU360+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU360+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 : Thu Aug 31 16:25:07 EDT 2023
% Result : Theorem 6.39s 6.49s
% Output : CNFRefutation 6.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 42
% Syntax : Number of formulae : 120 ( 15 unt; 30 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 40 ( 22 >; 18 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 96 ( 0 sgn; 48 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
finite: $i > $o ).
tff(decl_25,type,
rel_str: $i > $o ).
tff(decl_26,type,
lower_bounded_relstr: $i > $o ).
tff(decl_27,type,
the_carrier: $i > $i ).
tff(decl_28,type,
element: ( $i * $i ) > $o ).
tff(decl_29,type,
relstr_element_smaller: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
one_sorted_str: $i > $o ).
tff(decl_32,type,
empty_carrier: $i > $o ).
tff(decl_33,type,
empty_set: $i ).
tff(decl_34,type,
antisymmetric_relstr: $i > $o ).
tff(decl_35,type,
ex_sup_of_relstr_set: ( $i * $i ) > $o ).
tff(decl_36,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
ex_inf_of_relstr_set: ( $i * $i ) > $o ).
tff(decl_38,type,
esk1_1: $i > $i ).
tff(decl_39,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
esk3_0: $i ).
tff(decl_41,type,
esk4_0: $i ).
tff(decl_42,type,
esk5_1: $i > $i ).
tff(decl_43,type,
esk6_0: $i ).
tff(decl_44,type,
esk7_0: $i ).
tff(decl_45,type,
esk8_0: $i ).
tff(decl_46,type,
esk9_0: $i ).
tff(decl_47,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk14_0: $i ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d8_lattice3) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/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,
! [X8,X10] :
( ( element(esk1_1(X8),the_carrier(X8))
| ~ lower_bounded_relstr(X8)
| ~ rel_str(X8) )
& ( relstr_element_smaller(X8,the_carrier(X8),esk1_1(X8))
| ~ lower_bounded_relstr(X8)
| ~ rel_str(X8) )
& ( ~ element(X10,the_carrier(X8))
| ~ relstr_element_smaller(X8,the_carrier(X8),X10)
| lower_bounded_relstr(X8)
| ~ rel_str(X8) ) ),
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,
! [X33,X34,X36,X37,X38] :
( ( element(esk12_2(X33,X34),the_carrier(X33))
| ~ ex_inf_of_relstr_set(X33,X34)
| ~ antisymmetric_relstr(X33)
| ~ rel_str(X33) )
& ( relstr_element_smaller(X33,X34,esk12_2(X33,X34))
| ~ ex_inf_of_relstr_set(X33,X34)
| ~ antisymmetric_relstr(X33)
| ~ rel_str(X33) )
& ( ~ element(X36,the_carrier(X33))
| ~ relstr_element_smaller(X33,X34,X36)
| related(X33,X36,esk12_2(X33,X34))
| ~ ex_inf_of_relstr_set(X33,X34)
| ~ antisymmetric_relstr(X33)
| ~ rel_str(X33) )
& ( element(esk13_3(X33,X37,X38),the_carrier(X33))
| ~ element(X38,the_carrier(X33))
| ~ relstr_element_smaller(X33,X37,X38)
| ex_inf_of_relstr_set(X33,X37)
| ~ antisymmetric_relstr(X33)
| ~ rel_str(X33) )
& ( relstr_element_smaller(X33,X37,esk13_3(X33,X37,X38))
| ~ element(X38,the_carrier(X33))
| ~ relstr_element_smaller(X33,X37,X38)
| ex_inf_of_relstr_set(X33,X37)
| ~ antisymmetric_relstr(X33)
| ~ rel_str(X33) )
& ( ~ related(X33,esk13_3(X33,X37,X38),X38)
| ~ element(X38,the_carrier(X33))
| ~ relstr_element_smaller(X33,X37,X38)
| ex_inf_of_relstr_set(X33,X37)
| ~ antisymmetric_relstr(X33)
| ~ rel_str(X33) ) ),
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,
! [X45] :
( ~ empty(X45)
| X45 = 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,
! [X26,X27,X29,X30,X31] :
( ( element(esk10_2(X26,X27),the_carrier(X26))
| ~ ex_sup_of_relstr_set(X26,X27)
| ~ antisymmetric_relstr(X26)
| ~ rel_str(X26) )
& ( relstr_set_smaller(X26,X27,esk10_2(X26,X27))
| ~ ex_sup_of_relstr_set(X26,X27)
| ~ antisymmetric_relstr(X26)
| ~ rel_str(X26) )
& ( ~ element(X29,the_carrier(X26))
| ~ relstr_set_smaller(X26,X27,X29)
| related(X26,esk10_2(X26,X27),X29)
| ~ ex_sup_of_relstr_set(X26,X27)
| ~ antisymmetric_relstr(X26)
| ~ rel_str(X26) )
& ( element(esk11_3(X26,X30,X31),the_carrier(X26))
| ~ element(X31,the_carrier(X26))
| ~ relstr_set_smaller(X26,X30,X31)
| ex_sup_of_relstr_set(X26,X30)
| ~ antisymmetric_relstr(X26)
| ~ rel_str(X26) )
& ( relstr_set_smaller(X26,X30,esk11_3(X26,X30,X31))
| ~ element(X31,the_carrier(X26))
| ~ relstr_set_smaller(X26,X30,X31)
| ex_sup_of_relstr_set(X26,X30)
| ~ antisymmetric_relstr(X26)
| ~ rel_str(X26) )
& ( ~ related(X26,X31,esk11_3(X26,X30,X31))
| ~ element(X31,the_carrier(X26))
| ~ relstr_set_smaller(X26,X30,X31)
| ex_sup_of_relstr_set(X26,X30)
| ~ antisymmetric_relstr(X26)
| ~ rel_str(X26) ) ),
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,
! [X46,X47] :
( ( relstr_set_smaller(X46,empty_set,X47)
| ~ element(X47,the_carrier(X46))
| ~ rel_str(X46) )
& ( relstr_element_smaller(X46,empty_set,X47)
| ~ element(X47,the_carrier(X46))
| ~ rel_str(X46) ) ),
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,
! [X11,X12,X13,X14] :
( ( ~ relstr_element_smaller(X11,X12,X13)
| ~ element(X14,the_carrier(X11))
| ~ in(X14,X12)
| related(X11,X13,X14)
| ~ element(X13,the_carrier(X11))
| ~ rel_str(X11) )
& ( element(esk2_3(X11,X12,X13),the_carrier(X11))
| relstr_element_smaller(X11,X12,X13)
| ~ element(X13,the_carrier(X11))
| ~ rel_str(X11) )
& ( in(esk2_3(X11,X12,X13),X12)
| relstr_element_smaller(X11,X12,X13)
| ~ element(X13,the_carrier(X11))
| ~ rel_str(X11) )
& ( ~ related(X11,X13,esk2_3(X11,X12,X13))
| relstr_element_smaller(X11,X12,X13)
| ~ element(X13,the_carrier(X11))
| ~ rel_str(X11) ) ),
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,
! [X42,X43] :
( ~ element(X42,X43)
| empty(X43)
| in(X42,X43) ),
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,
! [X21] :
( empty_carrier(X21)
| ~ one_sorted_str(X21)
| ~ empty(the_carrier(X21)) ),
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,
! [X16] :
( ~ rel_str(X16)
| one_sorted_str(X16) ),
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,
! [X50,X51] :
( ~ empty(X50)
| X50 = X51
| ~ empty(X51) ),
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
% 0.14/0.14 % Problem : SEU360+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 24 01:57:20 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.60 start to proof: theBenchmark
% 6.39/6.49 % Version : CSE_E---1.5
% 6.39/6.49 % Problem : theBenchmark.p
% 6.39/6.49 % Proof found
% 6.39/6.49 % SZS status Theorem for theBenchmark.p
% 6.39/6.49 % SZS output start Proof
% See solution above
% 6.47/6.50 % Total time : 5.875000 s
% 6.47/6.50 % SZS output end Proof
% 6.47/6.50 % Total time : 5.878000 s
%------------------------------------------------------------------------------