TSTP Solution File: SET686+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET686+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 00:53:09 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 73 ( 7 unt; 0 def)
% Number of atoms : 332 ( 4 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 446 ( 187 ~; 181 |; 37 &)
% ( 6 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 146 ( 9 sgn 62 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_relset_1_53,conjecture,
! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ( ~ empty(X3)
& ilf_type(X3,set_type) )
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X3))
=> ! [X5] :
( ilf_type(X5,member_type(X1))
=> ( member(X5,inverse4(X1,X3,X4,X2))
<=> ? [X6] :
( ilf_type(X6,member_type(X3))
& member(ordered_pair(X5,X6),X4)
& member(X6,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_relset_1_53) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ! [X5] :
( ilf_type(X5,relation_type(X1,X2))
=> ( member(ordered_pair(X3,X4),X5)
=> ( member(X3,X1)
& member(X4,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p2) ).
fof(p27,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p27) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,binary_relation_type)
=> ( member(X2,inverse2(X3,X1))
<=> ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X2,X4),X3)
& member(X4,X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p1) ).
fof(p25,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> inverse4(X1,X2,X3,X4) = inverse2(X3,X4) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p25) ).
fof(p9,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p9) ).
fof(p7,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p7) ).
fof(p24,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> relation_like(X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p24) ).
fof(p5,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p5) ).
fof(p15,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( relation_like(X1)
& ilf_type(X1,set_type) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p15) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ( ~ empty(X3)
& ilf_type(X3,set_type) )
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X3))
=> ! [X5] :
( ilf_type(X5,member_type(X1))
=> ( member(X5,inverse4(X1,X3,X4,X2))
<=> ? [X6] :
( ilf_type(X6,member_type(X3))
& member(ordered_pair(X5,X6),X4)
& member(X6,X2) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_53]) ).
fof(c_0_11,plain,
! [X6,X7,X8,X9,X10] :
( ( member(X8,X6)
| ~ member(ordered_pair(X8,X9),X10)
| ~ ilf_type(X10,relation_type(X6,X7))
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( member(X9,X7)
| ~ member(ordered_pair(X8,X9),X10)
| ~ ilf_type(X10,relation_type(X6,X7))
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) ) ),
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)],[p2])])])])])]) ).
fof(c_0_12,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[p27]) ).
fof(c_0_13,negated_conjecture,
! [X12] :
( ~ empty(esk12_0)
& ilf_type(esk12_0,set_type)
& ~ empty(esk13_0)
& ilf_type(esk13_0,set_type)
& ~ empty(esk14_0)
& ilf_type(esk14_0,set_type)
& ilf_type(esk15_0,relation_type(esk12_0,esk14_0))
& ilf_type(esk16_0,member_type(esk12_0))
& ( ~ member(esk16_0,inverse4(esk12_0,esk14_0,esk15_0,esk13_0))
| ~ ilf_type(X12,member_type(esk14_0))
| ~ member(ordered_pair(esk16_0,X12),esk15_0)
| ~ member(X12,esk13_0) )
& ( ilf_type(esk17_0,member_type(esk14_0))
| member(esk16_0,inverse4(esk12_0,esk14_0,esk15_0,esk13_0)) )
& ( member(ordered_pair(esk16_0,esk17_0),esk15_0)
| member(esk16_0,inverse4(esk12_0,esk14_0,esk15_0,esk13_0)) )
& ( member(esk17_0,esk13_0)
| member(esk16_0,inverse4(esk12_0,esk14_0,esk15_0,esk13_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)],[inference(fof_simplification,[status(thm)],[c_0_10])])])])])])])]) ).
fof(c_0_14,plain,
! [X5,X6,X7,X9] :
( ( ilf_type(esk1_3(X5,X6,X7),set_type)
| ~ member(X6,inverse2(X7,X5))
| ~ ilf_type(X7,binary_relation_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( member(ordered_pair(X6,esk1_3(X5,X6,X7)),X7)
| ~ member(X6,inverse2(X7,X5))
| ~ ilf_type(X7,binary_relation_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( member(esk1_3(X5,X6,X7),X5)
| ~ member(X6,inverse2(X7,X5))
| ~ ilf_type(X7,binary_relation_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X9,set_type)
| ~ member(ordered_pair(X6,X9),X7)
| ~ member(X9,X5)
| member(X6,inverse2(X7,X5))
| ~ ilf_type(X7,binary_relation_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ) ),
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)],[p1])])])])])])]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X8,set_type)
| inverse4(X5,X6,X7,X8) = inverse2(X7,X8) ),
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)],[p25])])])])]) ).
fof(c_0_16,plain,
! [X3,X4] :
( ( ~ empty(X3)
| ~ ilf_type(X4,set_type)
| ~ member(X4,X3)
| ~ ilf_type(X3,set_type) )
& ( ilf_type(esk4_1(X3),set_type)
| empty(X3)
| ~ ilf_type(X3,set_type) )
& ( member(esk4_1(X3),X3)
| empty(X3)
| ~ ilf_type(X3,set_type) ) ),
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)],[inference(fof_simplification,[status(thm)],[p9])])])])])])])]) ).
cnf(c_0_17,plain,
( member(X4,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,relation_type(X1,X2))
| ~ member(ordered_pair(X3,X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( ~ member(X1,esk13_0)
| ~ member(ordered_pair(esk16_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk14_0))
| ~ member(esk16_0,inverse4(esk12_0,esk14_0,esk15_0,esk13_0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( member(esk16_0,inverse4(esk12_0,esk14_0,esk15_0,esk13_0))
| member(ordered_pair(esk16_0,esk17_0),esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( member(ordered_pair(X2,esk1_3(X1,X2,X3)),X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ member(X2,inverse2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_23,plain,
! [X3,X4] :
( ( ~ ilf_type(X3,member_type(X4))
| member(X3,X4)
| empty(X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ member(X3,X4)
| ilf_type(X3,member_type(X4))
| empty(X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
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)],[inference(fof_simplification,[status(thm)],[p7])])])])])])]) ).
cnf(c_0_24,plain,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( member(X1,X2)
| ~ member(ordered_pair(X3,X1),X4)
| ~ ilf_type(X4,relation_type(X5,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]),c_0_18]),c_0_18])]) ).
cnf(c_0_26,negated_conjecture,
ilf_type(esk15_0,relation_type(esk12_0,esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27,negated_conjecture,
( member(ordered_pair(esk16_0,esk17_0),esk15_0)
| ~ member(ordered_pair(esk16_0,X1),esk15_0)
| ~ member(X1,esk13_0)
| ~ ilf_type(X1,member_type(esk14_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,plain,
( member(ordered_pair(X1,esk1_3(X2,X1,X3)),X3)
| ~ member(X1,inverse2(X3,X2))
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_18]),c_0_18])]) ).
cnf(c_0_29,plain,
( member(esk1_3(X1,X2,X3),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ member(X2,inverse2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,plain,
( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18]),c_0_18]),c_0_18])]) ).
cnf(c_0_31,plain,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_18]),c_0_18])]) ).
cnf(c_0_33,negated_conjecture,
( member(X1,esk14_0)
| ~ member(ordered_pair(X2,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,negated_conjecture,
( member(esk16_0,inverse4(esk12_0,esk14_0,esk15_0,esk13_0))
| member(esk17_0,esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_35,negated_conjecture,
( member(ordered_pair(esk16_0,esk17_0),esk15_0)
| ~ member(esk1_3(X1,esk16_0,esk15_0),esk13_0)
| ~ member(esk16_0,inverse2(esk15_0,X1))
| ~ ilf_type(esk1_3(X1,esk16_0,esk15_0),member_type(esk14_0))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
( member(esk1_3(X1,X2,X3),X1)
| ~ member(X2,inverse2(X3,X1))
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_18]),c_0_18])]) ).
cnf(c_0_37,negated_conjecture,
( member(ordered_pair(esk16_0,esk17_0),esk15_0)
| member(esk16_0,inverse2(esk15_0,esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_30]),c_0_26])]) ).
cnf(c_0_38,plain,
( ilf_type(X1,member_type(X2))
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_18]),c_0_18])]),c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( member(esk1_3(X1,X2,esk15_0),esk14_0)
| ~ member(X2,inverse2(esk15_0,X1))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_40,negated_conjecture,
( member(esk17_0,esk13_0)
| ~ member(ordered_pair(esk16_0,X1),esk15_0)
| ~ member(X1,esk13_0)
| ~ ilf_type(X1,member_type(esk14_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( member(esk16_0,inverse4(esk12_0,esk14_0,esk15_0,esk13_0))
| ilf_type(esk17_0,member_type(esk14_0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,plain,
( member(X2,inverse2(X3,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ member(X4,X1)
| ~ member(ordered_pair(X2,X4),X3)
| ~ ilf_type(X4,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,negated_conjecture,
( member(ordered_pair(esk16_0,esk17_0),esk15_0)
| ~ ilf_type(esk1_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( ilf_type(esk1_3(X1,X2,esk15_0),member_type(esk14_0))
| ~ member(X2,inverse2(esk15_0,X1))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( member(esk17_0,esk13_0)
| ~ member(esk1_3(X1,esk16_0,esk15_0),esk13_0)
| ~ member(esk16_0,inverse2(esk15_0,X1))
| ~ ilf_type(esk1_3(X1,esk16_0,esk15_0),member_type(esk14_0))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_40,c_0_28]) ).
cnf(c_0_46,negated_conjecture,
( member(esk16_0,inverse2(esk15_0,esk13_0))
| member(esk17_0,esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_26])]) ).
cnf(c_0_47,negated_conjecture,
( ilf_type(esk17_0,member_type(esk14_0))
| ~ member(ordered_pair(esk16_0,X1),esk15_0)
| ~ member(X1,esk13_0)
| ~ ilf_type(X1,member_type(esk14_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_41]) ).
fof(c_0_48,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
| relation_like(X6) ),
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)],[p24])])])])]) ).
fof(c_0_49,plain,
! [X5,X6,X7,X8] :
( ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6)))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ) ),
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)],[p5])])])])])]) ).
cnf(c_0_50,plain,
( member(X1,inverse2(X2,X3))
| ~ member(ordered_pair(X1,X4),X2)
| ~ member(X4,X3)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_18]),c_0_18]),c_0_18])]) ).
cnf(c_0_51,negated_conjecture,
( member(ordered_pair(esk16_0,esk17_0),esk15_0)
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_37]) ).
cnf(c_0_52,negated_conjecture,
( member(esk17_0,esk13_0)
| ~ ilf_type(esk1_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( ilf_type(esk17_0,member_type(esk14_0))
| ~ member(esk1_3(X1,esk16_0,esk15_0),esk13_0)
| ~ member(esk16_0,inverse2(esk15_0,X1))
| ~ ilf_type(esk1_3(X1,esk16_0,esk15_0),member_type(esk14_0))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_47,c_0_28]) ).
cnf(c_0_54,negated_conjecture,
( member(esk16_0,inverse2(esk15_0,esk13_0))
| ilf_type(esk17_0,member_type(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_26])]) ).
fof(c_0_55,plain,
! [X2] :
( ( relation_like(X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ilf_type(X2,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ~ relation_like(X2)
| ~ ilf_type(X2,set_type)
| ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])]) ).
cnf(c_0_56,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,negated_conjecture,
( ~ member(esk16_0,inverse2(esk15_0,esk13_0))
| ~ member(ordered_pair(esk16_0,X1),esk15_0)
| ~ member(X1,esk13_0)
| ~ ilf_type(X1,member_type(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_30]),c_0_26])]) ).
cnf(c_0_59,negated_conjecture,
( member(esk16_0,inverse2(esk15_0,X1))
| ~ member(esk17_0,X1)
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,negated_conjecture,
( member(esk17_0,esk13_0)
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_44]),c_0_46]) ).
cnf(c_0_61,negated_conjecture,
( ilf_type(esk17_0,member_type(esk14_0))
| ~ ilf_type(esk1_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_36]),c_0_54]) ).
cnf(c_0_62,plain,
( ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_63,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_18]),c_0_18])]) ).
cnf(c_0_64,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_18]),c_0_18])]) ).
cnf(c_0_65,negated_conjecture,
( ~ member(ordered_pair(esk16_0,X1),esk15_0)
| ~ member(X1,esk13_0)
| ~ ilf_type(X1,member_type(esk14_0))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( ilf_type(esk17_0,member_type(esk14_0))
| ~ ilf_type(esk15_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_44]),c_0_54]) ).
cnf(c_0_67,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_62]) ).
cnf(c_0_68,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,negated_conjecture,
~ ilf_type(esk15_0,binary_relation_type),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_51]),c_0_66]),c_0_60]) ).
cnf(c_0_70,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_18])]) ).
cnf(c_0_71,negated_conjecture,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_68,c_0_26]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET686+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.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 : Sun Jul 10 03:36:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.40 # Preprocessing time : 0.019 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 73
% 0.23/1.40 # Proof object clause steps : 52
% 0.23/1.40 # Proof object formula steps : 21
% 0.23/1.40 # Proof object conjectures : 32
% 0.23/1.40 # Proof object clause conjectures : 29
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 16
% 0.23/1.40 # Proof object initial formulas used : 10
% 0.23/1.40 # Proof object generating inferences : 25
% 0.23/1.40 # Proof object simplifying inferences : 54
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 28
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 64
% 0.23/1.40 # Removed in clause preprocessing : 3
% 0.23/1.40 # Initial clauses in saturation : 61
% 0.23/1.40 # Processed clauses : 1581
% 0.23/1.40 # ...of these trivial : 35
% 0.23/1.40 # ...subsumed : 635
% 0.23/1.40 # ...remaining for further processing : 911
% 0.23/1.40 # Other redundant clauses eliminated : 1
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 66
% 0.23/1.40 # Backward-rewritten : 6
% 0.23/1.40 # Generated clauses : 18053
% 0.23/1.40 # ...of the previous two non-trivial : 17954
% 0.23/1.40 # Contextual simplify-reflections : 333
% 0.23/1.40 # Paramodulations : 17939
% 0.23/1.40 # Factorizations : 62
% 0.23/1.40 # Equation resolutions : 8
% 0.23/1.40 # Current number of processed clauses : 822
% 0.23/1.40 # Positive orientable unit clauses : 61
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 6
% 0.23/1.40 # Non-unit-clauses : 755
% 0.23/1.40 # Current number of unprocessed clauses: 16126
% 0.23/1.40 # ...number of literals in the above : 98964
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 72
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 105340
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 43698
% 0.23/1.40 # Non-unit clause-clause subsumptions : 857
% 0.23/1.40 # Unit Clause-clause subsumption calls : 1911
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 27
% 0.23/1.40 # BW rewrite match successes : 6
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 671882
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.416 s
% 0.23/1.40 # System time : 0.013 s
% 0.23/1.40 # Total time : 0.429 s
% 0.23/1.40 # Maximum resident set size: 26800 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.41 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: CPU time limit exceeded, terminating
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.51 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.51 eprover: No such file or directory
% 0.23/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------