%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU381+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:19:31 EDT 2022
% Result : Theorem 0.38s 26.56s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 13 unt; 0 def)
% Number of atoms : 329 ( 3 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 426 ( 169 ~; 187 |; 51 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 149 ( 19 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t11_waybel_7,conjecture,
! [X1,X2] :
( element(X2,powerset(the_carrier(boole_POSet(X1))))
=> ( upper_relstr_subset(X2,boole_POSet(X1))
<=> ! [X3,X4] :
( ( subset(X3,X4)
& subset(X4,X1)
& in(X3,X2) )
=> in(X4,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t11_waybel_7) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_subset) ).
fof(t4_waybel_7,axiom,
! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_waybel_7) ).
fof(d20_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( upper_relstr_subset(X2,X1)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( in(X3,X2)
& related(X1,X3,X4) )
=> in(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d20_waybel_0) ).
fof(redefinition_r3_orders_2,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> ( related_reflexive(X1,X2,X3)
<=> related(X1,X2,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_r3_orders_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_subset) ).
fof(dt_k3_yellow_1,axiom,
! [X1] :
( strict_rel_str(boole_POSet(X1))
& rel_str(boole_POSet(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_yellow_1) ).
fof(t2_yellow_1,axiom,
! [X1,X2] :
( element(X2,the_carrier(boole_POSet(X1)))
=> ! [X3] :
( element(X3,the_carrier(boole_POSet(X1)))
=> ( related_reflexive(boole_POSet(X1),X2,X3)
<=> subset(X2,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_yellow_1) ).
fof(fc1_waybel_1,axiom,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_waybel_1) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X2] :
( element(X2,powerset(the_carrier(boole_POSet(X1))))
=> ( upper_relstr_subset(X2,boole_POSet(X1))
<=> ! [X3,X4] :
( ( subset(X3,X4)
& subset(X4,X1)
& in(X3,X2) )
=> in(X4,X2) ) ) ),
inference(assume_negation,[status(cth)],[t11_waybel_7]) ).
fof(c_0_10,plain,
! [X3,X4,X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_11,plain,
! [X2] : the_carrier(boole_POSet(X2)) = powerset(X2),
inference(variable_rename,[status(thm)],[t4_waybel_7]) ).
fof(c_0_12,plain,
! [X5,X6,X7,X8] :
( ( ~ upper_relstr_subset(X6,X5)
| ~ element(X7,the_carrier(X5))
| ~ element(X8,the_carrier(X5))
| ~ in(X7,X6)
| ~ related(X5,X7,X8)
| in(X8,X6)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( element(esk5_2(X5,X6),the_carrier(X5))
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( element(esk6_2(X5,X6),the_carrier(X5))
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( in(esk5_2(X5,X6),X6)
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( related(X5,esk5_2(X5,X6),esk6_2(X5,X6))
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( ~ in(esk6_2(X5,X6),X6)
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(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)],[d20_waybel_0])])])])])])]) ).
fof(c_0_13,negated_conjecture,
! [X9,X10] :
( element(esk2_0,powerset(the_carrier(boole_POSet(esk1_0))))
& ( subset(esk3_0,esk4_0)
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0)) )
& ( subset(esk4_0,esk1_0)
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0)) )
& ( in(esk3_0,esk2_0)
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0)) )
& ( ~ in(esk4_0,esk2_0)
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0)) )
& ( upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| ~ subset(X9,X10)
| ~ subset(X10,esk1_0)
| ~ in(X9,esk2_0)
| in(X10,esk2_0) ) ),
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)],[c_0_9])])])])])])]) ).
cnf(c_0_14,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
the_carrier(boole_POSet(X1)) = powerset(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( ( ~ related_reflexive(X4,X5,X6)
| related(X4,X5,X6)
| empty_carrier(X4)
| ~ reflexive_relstr(X4)
| ~ rel_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4)) )
& ( ~ related(X4,X5,X6)
| related_reflexive(X4,X5,X6)
| empty_carrier(X4)
| ~ reflexive_relstr(X4)
| ~ rel_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r3_orders_2])])])]) ).
cnf(c_0_17,plain,
( upper_relstr_subset(X2,X1)
| related(X1,esk5_2(X1,X2),esk6_2(X1,X2))
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( upper_relstr_subset(X2,X1)
| element(esk6_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( upper_relstr_subset(X2,X1)
| element(esk5_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_21,negated_conjecture,
( in(X1,esk2_0)
| upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| ~ in(X2,esk2_0)
| ~ subset(X1,esk1_0)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
( subset(X1,X2)
| ~ element(X1,the_carrier(boole_POSet(X2))) ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_23,plain,
! [X2,X2] :
( strict_rel_str(boole_POSet(X2))
& rel_str(boole_POSet(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[dt_k3_yellow_1])])]) ).
fof(c_0_24,plain,
! [X4,X5,X6] :
( ( ~ related_reflexive(boole_POSet(X4),X5,X6)
| subset(X5,X6)
| ~ element(X6,the_carrier(boole_POSet(X4)))
| ~ element(X5,the_carrier(boole_POSet(X4))) )
& ( ~ subset(X5,X6)
| related_reflexive(boole_POSet(X4),X5,X6)
| ~ element(X6,the_carrier(boole_POSet(X4)))
| ~ element(X5,the_carrier(boole_POSet(X4))) ) ),
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)],[t2_yellow_1])])])])])]) ).
cnf(c_0_25,plain,
( empty_carrier(X2)
| related_reflexive(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ rel_str(X2)
| ~ reflexive_relstr(X2)
| ~ related(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( upper_relstr_subset(X2,X1)
| related(X1,esk5_2(X1,X2),esk6_2(X1,X2))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_27,plain,
( upper_relstr_subset(X2,X1)
| element(esk6_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_28,plain,
( upper_relstr_subset(X2,X1)
| element(esk5_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[c_0_19,c_0_15]) ).
fof(c_0_29,plain,
! [X2,X2,X2,X2,X2,X2,X2,X2,X2,X2,X2,X2,X2,X2] :
( ~ empty_carrier(boole_POSet(X2))
& strict_rel_str(boole_POSet(X2))
& reflexive_relstr(boole_POSet(X2))
& transitive_relstr(boole_POSet(X2))
& antisymmetric_relstr(boole_POSet(X2))
& with_suprema_relstr(boole_POSet(X2))
& with_infima_relstr(boole_POSet(X2))
& complete_relstr(boole_POSet(X2))
& lower_bounded_relstr(boole_POSet(X2))
& upper_bounded_relstr(boole_POSet(X2))
& bounded_relstr(boole_POSet(X2))
& up_complete_relstr(boole_POSet(X2))
& join_complete_relstr(boole_POSet(X2))
& distributive_relstr(boole_POSet(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_waybel_1])])])]) ).
cnf(c_0_30,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
element(esk2_0,powerset(the_carrier(boole_POSet(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,plain,
( in(X3,X2)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ related(X1,X4,X3)
| ~ in(X4,X2)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ upper_relstr_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
( upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| in(X1,esk2_0)
| ~ subset(X2,X1)
| ~ element(X1,the_carrier(boole_POSet(esk1_0)))
| ~ in(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_34,plain,
rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
( subset(X1,X3)
| ~ element(X1,the_carrier(boole_POSet(X2)))
| ~ element(X3,the_carrier(boole_POSet(X2)))
| ~ related_reflexive(boole_POSet(X2),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( related_reflexive(X1,esk5_2(X1,X2),esk6_2(X1,X2))
| upper_relstr_subset(X2,X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1))))
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_37,plain,
reflexive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
~ empty_carrier(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,the_carrier(boole_POSet(X2))) ),
inference(rw,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_40,negated_conjecture,
element(esk2_0,the_carrier(boole_POSet(the_carrier(boole_POSet(esk1_0))))),
inference(rw,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_41,plain,
( in(X3,X2)
| ~ rel_str(X1)
| ~ in(X4,X2)
| ~ upper_relstr_subset(X2,X1)
| ~ related(X1,X4,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_42,plain,
( upper_relstr_subset(X2,X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,negated_conjecture,
( upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| upper_relstr_subset(X1,boole_POSet(esk1_0))
| in(esk6_2(boole_POSet(esk1_0),X1),esk2_0)
| ~ subset(X2,esk6_2(boole_POSet(esk1_0),X1))
| ~ element(X1,the_carrier(boole_POSet(the_carrier(boole_POSet(esk1_0)))))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_34])]) ).
cnf(c_0_44,plain,
( subset(esk5_2(boole_POSet(X1),X2),esk6_2(boole_POSet(X1),X2))
| upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(esk6_2(boole_POSet(X1),X2),the_carrier(boole_POSet(X1)))
| ~ element(esk5_2(boole_POSet(X1),X2),the_carrier(boole_POSet(X1)))
| ~ element(X2,the_carrier(boole_POSet(the_carrier(boole_POSet(X1))))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_34])]),c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( element(X1,the_carrier(boole_POSet(esk1_0)))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( in(X1,X2)
| ~ related(X3,X4,X1)
| ~ upper_relstr_subset(X2,X3)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X3))))
| ~ element(X1,the_carrier(X3))
| ~ in(X4,X2)
| ~ rel_str(X3) ),
inference(csr,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_47,plain,
( empty_carrier(X2)
| related(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ rel_str(X2)
| ~ reflexive_relstr(X2)
| ~ related_reflexive(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_48,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,plain,
( upper_relstr_subset(X2,X1)
| ~ rel_str(X1)
| ~ in(esk6_2(X1,X2),X2)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[c_0_42,c_0_15]) ).
cnf(c_0_50,negated_conjecture,
( upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| upper_relstr_subset(X1,boole_POSet(esk1_0))
| in(esk6_2(boole_POSet(esk1_0),X1),esk2_0)
| ~ element(esk6_2(boole_POSet(esk1_0),X1),the_carrier(boole_POSet(esk1_0)))
| ~ element(X1,the_carrier(boole_POSet(the_carrier(boole_POSet(esk1_0)))))
| ~ in(esk5_2(boole_POSet(esk1_0),X1),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_51,plain,
( empty_carrier(X1)
| in(X2,X3)
| ~ related_reflexive(X1,X4,X2)
| ~ upper_relstr_subset(X3,X1)
| ~ element(X3,the_carrier(boole_POSet(the_carrier(X1))))
| ~ element(X2,the_carrier(X1))
| ~ reflexive_relstr(X1)
| ~ in(X4,X3)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_39]) ).
cnf(c_0_52,plain,
( related_reflexive(boole_POSet(X2),X1,X3)
| ~ element(X1,the_carrier(boole_POSet(X2)))
| ~ element(X3,the_carrier(boole_POSet(X2)))
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_53,plain,
( element(X1,the_carrier(boole_POSet(X2)))
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[c_0_48,c_0_15]) ).
cnf(c_0_54,negated_conjecture,
( subset(esk4_0,esk1_0)
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_55,negated_conjecture,
( upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| ~ element(esk6_2(boole_POSet(esk1_0),esk2_0),the_carrier(boole_POSet(esk1_0)))
| ~ in(esk5_2(boole_POSet(esk1_0),esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_40]),c_0_34])]) ).
cnf(c_0_56,plain,
( upper_relstr_subset(X2,X1)
| in(esk5_2(X1,X2),X2)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_57,plain,
( in(X1,X2)
| ~ subset(X3,X1)
| ~ upper_relstr_subset(X2,boole_POSet(X4))
| ~ element(X2,the_carrier(boole_POSet(the_carrier(boole_POSet(X4)))))
| ~ element(X1,the_carrier(boole_POSet(X4)))
| ~ in(X3,X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_37]),c_0_34])]),c_0_38]),c_0_39]) ).
cnf(c_0_58,negated_conjecture,
( element(esk4_0,the_carrier(boole_POSet(esk1_0)))
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| ~ in(esk5_2(boole_POSet(esk1_0),esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_27]),c_0_40]),c_0_34])]) ).
cnf(c_0_60,plain,
( upper_relstr_subset(X2,X1)
| in(esk5_2(X1,X2),X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[c_0_56,c_0_15]) ).
cnf(c_0_61,negated_conjecture,
( in(esk4_0,X1)
| ~ subset(X2,esk4_0)
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| ~ upper_relstr_subset(X1,boole_POSet(esk1_0))
| ~ element(X1,the_carrier(boole_POSet(the_carrier(boole_POSet(esk1_0)))))
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
upper_relstr_subset(esk2_0,boole_POSet(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_40]),c_0_34])]) ).
cnf(c_0_63,negated_conjecture,
( ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0))
| ~ in(esk4_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_64,negated_conjecture,
( in(esk4_0,X1)
| ~ subset(X2,esk4_0)
| ~ upper_relstr_subset(X1,boole_POSet(esk1_0))
| ~ element(X1,the_carrier(boole_POSet(the_carrier(boole_POSet(esk1_0)))))
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
cnf(c_0_65,negated_conjecture,
~ in(esk4_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_62])]) ).
cnf(c_0_66,negated_conjecture,
( subset(esk3_0,esk4_0)
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_67,negated_conjecture,
( in(esk3_0,esk2_0)
| ~ upper_relstr_subset(esk2_0,boole_POSet(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_68,negated_conjecture,
( ~ subset(X1,esk4_0)
| ~ in(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_62]),c_0_40])]),c_0_65]) ).
cnf(c_0_69,negated_conjecture,
subset(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_62])]) ).
cnf(c_0_70,negated_conjecture,
in(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_62])]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU381+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 02:08:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.37/23.43 eprover: CPU time limit exceeded, terminating
% 0.37/23.43 eprover: eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.37/23.43
% 0.37/23.43
% 0.38/26.56 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.38/26.56
% 0.38/26.56 # Failure: Resource limit exceeded (time)
% 0.38/26.56 # OLD status Res
% 0.38/26.56 # Preprocessing time : 0.030 s
% 0.38/26.56 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.38/26.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.38/26.56 # Preprocessing time : 0.032 s
% 0.38/26.56
% 0.38/26.56 # Proof found!
% 0.38/26.56 # SZS status Theorem
% 0.38/26.56 # SZS output start CNFRefutation
% See solution above
% 0.38/26.56 # Proof object total steps : 72
% 0.38/26.56 # Proof object clause steps : 53
% 0.38/26.56 # Proof object formula steps : 19
% 0.38/26.56 # Proof object conjectures : 25
% 0.38/26.56 # Proof object clause conjectures : 22
% 0.38/26.56 # Proof object formula conjectures : 3
% 0.38/26.56 # Proof object initial clauses used : 23
% 0.38/26.56 # Proof object initial formulas used : 9
% 0.38/26.56 # Proof object generating inferences : 15
% 0.38/26.56 # Proof object simplifying inferences : 48
% 0.38/26.56 # Training examples: 0 positive, 0 negative
% 0.38/26.56 # Parsed axioms : 108
% 0.38/26.56 # Removed by relevancy pruning/SinE : 21
% 0.38/26.56 # Initial clauses : 451
% 0.38/26.56 # Removed in clause preprocessing : 69
% 0.38/26.56 # Initial clauses in saturation : 382
% 0.38/26.56 # Processed clauses : 7859
% 0.38/26.56 # ...of these trivial : 74
% 0.38/26.56 # ...subsumed : 4843
% 0.38/26.56 # ...remaining for further processing : 2942
% 0.38/26.56 # Other redundant clauses eliminated : 0
% 0.38/26.56 # Clauses deleted for lack of memory : 0
% 0.38/26.56 # Backward-subsumed : 259
% 0.38/26.56 # Backward-rewritten : 1854
% 0.38/26.56 # Generated clauses : 28416
% 0.38/26.56 # ...of the previous two non-trivial : 25930
% 0.38/26.56 # Contextual simplify-reflections : 6887
% 0.38/26.56 # Paramodulations : 28347
% 0.38/26.56 # Factorizations : 0
% 0.38/26.56 # Equation resolutions : 0
% 0.38/26.56 # Current number of processed clauses : 829
% 0.38/26.56 # Positive orientable unit clauses : 217
% 0.38/26.56 # Positive unorientable unit clauses: 2
% 0.38/26.56 # Negative unit clauses : 52
% 0.38/26.56 # Non-unit-clauses : 558
% 0.38/26.56 # Current number of unprocessed clauses: 3001
% 0.38/26.56 # ...number of literals in the above : 19930
% 0.38/26.56 # Current number of archived formulas : 0
% 0.38/26.56 # Current number of archived clauses : 2114
% 0.38/26.56 # Clause-clause subsumption calls (NU) : 6070565
% 0.38/26.56 # Rec. Clause-clause subsumption calls : 526391
% 0.38/26.56 # Non-unit clause-clause subsumptions : 11425
% 0.38/26.56 # Unit Clause-clause subsumption calls : 25866
% 0.38/26.56 # Rewrite failures with RHS unbound : 22
% 0.38/26.56 # BW rewrite match attempts : 80
% 0.38/26.56 # BW rewrite match successes : 45
% 0.38/26.56 # Condensation attempts : 0
% 0.38/26.56 # Condensation successes : 0
% 0.38/26.56 # Termbank termtop insertions : 789260
% 0.38/26.56
% 0.38/26.56 # -------------------------------------------------
% 0.38/26.56 # User time : 3.072 s
% 0.38/26.56 # System time : 0.026 s
% 0.38/26.56 # Total time : 3.098 s
% 0.38/26.56 # Maximum resident set size: 28620 pages
% 0.38/46.46 eprover: CPU time limit exceeded, terminating
% 0.38/46.46 eprover: CPU time limit exceeded, terminating
% 0.38/46.46 eprover: CPU time limit exceeded, terminating
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.50 eprover: No such file or directory
% 0.38/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.50 eprover: No such file or directory
% 0.38/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.50 eprover: No such file or directory
% 0.38/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.50 eprover: No such file or directory
% 0.38/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.50 eprover: No such file or directory
% 0.38/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.51 eprover: No such file or directory
% 0.38/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.51 eprover: No such file or directory
% 0.38/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.51 eprover: No such file or directory
% 0.38/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.51 eprover: No such file or directory
% 0.38/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.51 eprover: No such file or directory
% 0.38/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.51 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.53 eprover: No such file or directory
% 0.38/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.53 eprover: No such file or directory
% 0.38/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.53 eprover: No such file or directory
% 0.38/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.53 eprover: No such file or directory
%------------------------------------------------------------------------------