TSTP Solution File: SEU360+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 : 600s
% DateTime : Tue Jul 19 09:19:21 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 12 unt; 0 def)
% Number of atoms : 300 ( 4 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 411 ( 173 ~; 177 |; 37 &)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 101 ( 2 sgn 47 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_lattice3) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_yellow_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t15_yellow_0) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc1_xboole_0) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t42_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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t16_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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_yellow_0) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_orders_2) ).
fof(c_0_12,plain,
! [X5,X6,X7,X8] :
( ( ~ relstr_element_smaller(X5,X6,X7)
| ~ element(X8,the_carrier(X5))
| ~ in(X8,X6)
| related(X5,X7,X8)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( element(esk9_3(X5,X6,X7),the_carrier(X5))
| relstr_element_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( in(esk9_3(X5,X6,X7),X6)
| relstr_element_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( ~ related(X5,X7,esk9_3(X5,X6,X7))
| relstr_element_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_lattice3])])])])])])]) ).
fof(c_0_13,plain,
! [X3,X5] :
( ( element(esk7_1(X3),the_carrier(X3))
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) )
& ( relstr_element_smaller(X3,the_carrier(X3),esk7_1(X3))
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) )
& ( ~ element(X5,the_carrier(X3))
| ~ relstr_element_smaller(X3,the_carrier(X3),X5)
| lower_bounded_relstr(X3)
| ~ rel_str(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_yellow_0])])])])])])]) ).
fof(c_0_14,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_15,plain,
! [X5,X6,X8,X6,X9] :
( ( element(esk4_2(X5,X6),the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk4_2(X5,X6))
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,esk4_2(X5,X6),X8)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( element(esk5_3(X5,X6,X9),the_carrier(X5))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk5_3(X5,X6,X9))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ related(X5,X9,esk5_3(X5,X6,X9))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_yellow_0])])])])])])]) ).
cnf(c_0_16,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( relstr_element_smaller(X1,the_carrier(X1),esk7_1(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( element(esk7_1(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk5_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( related(X1,esk7_1(X1),X2)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ in(X2,the_carrier(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
fof(c_0_22,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_23,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_24,plain,
empty(esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(c_0_25,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(assume_negation,[status(cth)],[t42_yellow_0]) ).
fof(c_0_26,plain,
! [X5,X6,X8,X6,X9] :
( ( element(esk2_2(X5,X6),the_carrier(X5))
| ~ ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_element_smaller(X5,X6,esk2_2(X5,X6))
| ~ ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ element(X8,the_carrier(X5))
| ~ relstr_element_smaller(X5,X6,X8)
| related(X5,X8,esk2_2(X5,X6))
| ~ ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( element(esk3_3(X5,X6,X9),the_carrier(X5))
| ~ element(X9,the_carrier(X5))
| ~ relstr_element_smaller(X5,X6,X9)
| ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_element_smaller(X5,X6,esk3_3(X5,X6,X9))
| ~ element(X9,the_carrier(X5))
| ~ relstr_element_smaller(X5,X6,X9)
| ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ related(X5,esk3_3(X5,X6,X9),X9)
| ~ element(X9,the_carrier(X5))
| ~ relstr_element_smaller(X5,X6,X9)
| ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_yellow_0])])])])])])]) ).
cnf(c_0_27,plain,
( ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,esk7_1(X1))
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ in(esk5_3(X1,X2,esk7_1(X1)),the_carrier(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_18]) ).
cnf(c_0_28,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ( relstr_set_smaller(X3,empty_set,X4)
| ~ element(X4,the_carrier(X3))
| ~ rel_str(X3) )
& ( relstr_element_smaller(X3,empty_set,X4)
| ~ element(X4,the_carrier(X3))
| ~ rel_str(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_yellow_0])])])])])]) ).
cnf(c_0_30,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
empty(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_32,negated_conjecture,
( ~ empty_carrier(esk1_0)
& antisymmetric_relstr(esk1_0)
& lower_bounded_relstr(esk1_0)
& rel_str(esk1_0)
& ( ~ ex_sup_of_relstr_set(esk1_0,empty_set)
| ~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_25])])])]) ).
fof(c_0_33,plain,
! [X2] :
( empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ empty(the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
cnf(c_0_34,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( ex_sup_of_relstr_set(X1,X2)
| empty(the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,esk7_1(X1))
| ~ antisymmetric_relstr(X1)
| ~ element(esk5_3(X1,X2,esk7_1(X1)),the_carrier(X1))
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk5_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_38,plain,
( relstr_set_smaller(X1,empty_set,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,plain,
empty_set = esk11_0,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_42,plain,
! [X2] :
( ~ rel_str(X2)
| one_sorted_str(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_43,plain,
( ex_inf_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk3_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_44,plain,
( ex_inf_of_relstr_set(X1,X2)
| related(X1,esk3_3(X1,X2,X3),X4)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1)
| ~ in(X4,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_34]),c_0_35]) ).
cnf(c_0_45,plain,
( ex_sup_of_relstr_set(X1,X2)
| empty(the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,esk7_1(X1))
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_18]) ).
cnf(c_0_46,plain,
( relstr_set_smaller(X1,esk11_0,X2)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1) ),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( ~ one_sorted_str(esk1_0)
| ~ empty(the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_50,plain,
( ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1)
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,empty_set) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( ex_sup_of_relstr_set(X1,esk11_0)
| empty(the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_18]) ).
cnf(c_0_53,negated_conjecture,
lower_bounded_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_54,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_55,negated_conjecture,
~ empty(the_carrier(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_56,plain,
( ex_inf_of_relstr_set(X1,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ in(esk7_1(X1),the_carrier(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_17]),c_0_18]) ).
cnf(c_0_57,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk11_0) ),
inference(rw,[status(thm)],[c_0_51,c_0_39]) ).
cnf(c_0_58,negated_conjecture,
ex_sup_of_relstr_set(esk1_0,esk11_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_49])]),c_0_55]) ).
cnf(c_0_59,plain,
( ex_inf_of_relstr_set(X1,the_carrier(X1))
| empty(the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_28]),c_0_18]) ).
cnf(c_0_60,negated_conjecture,
~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_53]),c_0_54]),c_0_49])]),c_0_60]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 13:33:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 62
% 0.22/1.40 # Proof object clause steps : 37
% 0.22/1.40 # Proof object formula steps : 25
% 0.22/1.40 # Proof object conjectures : 14
% 0.22/1.40 # Proof object clause conjectures : 11
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 20
% 0.22/1.40 # Proof object initial formulas used : 12
% 0.22/1.40 # Proof object generating inferences : 14
% 0.22/1.40 # Proof object simplifying inferences : 23
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 27
% 0.22/1.40 # Removed by relevancy pruning/SinE : 6
% 0.22/1.40 # Initial clauses : 42
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 42
% 0.22/1.40 # Processed clauses : 200
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 23
% 0.22/1.40 # ...remaining for further processing : 177
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 7
% 0.22/1.40 # Backward-rewritten : 6
% 0.22/1.40 # Generated clauses : 266
% 0.22/1.40 # ...of the previous two non-trivial : 224
% 0.22/1.40 # Contextual simplify-reflections : 93
% 0.22/1.40 # Paramodulations : 266
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 164
% 0.22/1.40 # Positive orientable unit clauses : 10
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 6
% 0.22/1.40 # Non-unit-clauses : 148
% 0.22/1.40 # Current number of unprocessed clauses: 63
% 0.22/1.40 # ...number of literals in the above : 641
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 13
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 19109
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 1028
% 0.22/1.40 # Non-unit clause-clause subsumptions : 123
% 0.22/1.40 # Unit Clause-clause subsumption calls : 105
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 2
% 0.22/1.40 # BW rewrite match successes : 2
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 11907
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.047 s
% 0.22/1.40 # System time : 0.003 s
% 0.22/1.40 # Total time : 0.050 s
% 0.22/1.40 # Maximum resident set size: 3564 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
%------------------------------------------------------------------------------