TSTP Solution File: SET684+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET684+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 00:53:08 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 74 ( 13 unt; 0 def)
% Number of atoms : 343 ( 4 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 457 ( 188 ~; 183 |; 39 &)
% ( 6 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-5 aty)
% Number of variables : 165 ( 9 sgn 70 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p26,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/sandbox2/solver/bin/../tmp/theBenchmark.p',p26) ).
fof(p29,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p29) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',p5) ).
fof(prove_relset_1_51,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,X2))
=> ! [X5] :
( ilf_type(X5,relation_type(X2,X3))
=> ! [X6] :
( ilf_type(X6,member_type(X1))
=> ! [X7] :
( ilf_type(X7,member_type(X3))
=> ( member(ordered_pair(X6,X7),compose5(X1,X2,X3,X4,X5))
<=> ? [X8] :
( ilf_type(X8,member_type(X2))
& member(ordered_pair(X6,X8),X4)
& member(ordered_pair(X8,X7),X5) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',prove_relset_1_51) ).
fof(p9,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p9) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',p2) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',p15) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',p7) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,binary_relation_type)
=> ! [X4] :
( ilf_type(X4,binary_relation_type)
=> ( member(ordered_pair(X1,X2),compose(X3,X4))
<=> ? [X5] :
( ilf_type(X5,set_type)
& member(ordered_pair(X1,X5),X3)
& member(ordered_pair(X5,X2),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p1) ).
fof(p27,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ! [X5] :
( ilf_type(X5,relation_type(X2,X3))
=> compose5(X1,X2,X3,X4,X5) = compose(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',p27) ).
fof(c_0_10,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)],[p26])])])])]) ).
fof(c_0_11,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[p29]) ).
fof(c_0_12,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])])])])])]) ).
fof(c_0_13,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,X2))
=> ! [X5] :
( ilf_type(X5,relation_type(X2,X3))
=> ! [X6] :
( ilf_type(X6,member_type(X1))
=> ! [X7] :
( ilf_type(X7,member_type(X3))
=> ( member(ordered_pair(X6,X7),compose5(X1,X2,X3,X4,X5))
<=> ? [X8] :
( ilf_type(X8,member_type(X2))
& member(ordered_pair(X6,X8),X4)
& member(ordered_pair(X8,X7),X5) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_51]) ).
fof(c_0_14,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])])])])])])])]) ).
fof(c_0_15,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_16,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_17,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_10]) ).
cnf(c_0_18,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,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_12]) ).
fof(c_0_20,negated_conjecture,
! [X16] :
( ~ 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,esk13_0))
& ilf_type(esk16_0,relation_type(esk13_0,esk14_0))
& ilf_type(esk17_0,member_type(esk12_0))
& ilf_type(esk18_0,member_type(esk14_0))
& ( ~ member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0))
| ~ ilf_type(X16,member_type(esk13_0))
| ~ member(ordered_pair(esk17_0,X16),esk15_0)
| ~ member(ordered_pair(X16,esk18_0),esk16_0) )
& ( ilf_type(esk19_0,member_type(esk13_0))
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) )
& ( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) )
& ( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_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_13])])])])])])])]) ).
fof(c_0_21,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_22,plain,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( member(X3,X1)
| ~ 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_15]) ).
cnf(c_0_24,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_16]) ).
cnf(c_0_25,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_17,c_0_18]),c_0_18])]) ).
cnf(c_0_26,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_19,c_0_18]),c_0_18])]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0))
| member(ordered_pair(esk19_0,esk18_0),esk16_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,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_21]) ).
cnf(c_0_30,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18]),c_0_18])]) ).
cnf(c_0_31,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),X4)
| ~ ilf_type(X4,relation_type(X2,X5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_18]),c_0_18]),c_0_18]),c_0_18])]) ).
cnf(c_0_32,negated_conjecture,
ilf_type(esk16_0,relation_type(esk13_0,esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_33,plain,
! [X6,X7,X8,X9,X11] :
( ( ilf_type(esk1_4(X6,X7,X8,X9),set_type)
| ~ member(ordered_pair(X6,X7),compose(X8,X9))
| ~ ilf_type(X9,binary_relation_type)
| ~ ilf_type(X8,binary_relation_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( member(ordered_pair(X6,esk1_4(X6,X7,X8,X9)),X8)
| ~ member(ordered_pair(X6,X7),compose(X8,X9))
| ~ ilf_type(X9,binary_relation_type)
| ~ ilf_type(X8,binary_relation_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( member(ordered_pair(esk1_4(X6,X7,X8,X9),X7),X9)
| ~ member(ordered_pair(X6,X7),compose(X8,X9))
| ~ ilf_type(X9,binary_relation_type)
| ~ ilf_type(X8,binary_relation_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type) )
& ( ~ ilf_type(X11,set_type)
| ~ member(ordered_pair(X6,X11),X8)
| ~ member(ordered_pair(X11,X7),X9)
| member(ordered_pair(X6,X7),compose(X8,X9))
| ~ ilf_type(X9,binary_relation_type)
| ~ ilf_type(X8,binary_relation_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,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])])])])])])]) ).
cnf(c_0_34,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_36,plain,
! [X6,X7,X8,X9,X10] :
( ~ ilf_type(X6,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X9,relation_type(X6,X7))
| ~ ilf_type(X10,relation_type(X7,X8))
| compose5(X6,X7,X8,X9,X10) = compose(X9,X10) ),
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)],[p27])])])])]) ).
cnf(c_0_37,negated_conjecture,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
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_29,c_0_18]),c_0_18])]),c_0_30]) ).
cnf(c_0_39,negated_conjecture,
( member(X1,esk13_0)
| ~ member(ordered_pair(X1,X2),esk16_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,plain,
( member(ordered_pair(esk1_4(X1,X2,X3,X4),X2),X4)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X1,X2),compose(X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_18])]) ).
cnf(c_0_42,negated_conjecture,
relation_like(esk16_0),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
ilf_type(esk15_0,relation_type(esk12_0,esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44,plain,
( compose5(X1,X2,X3,X4,X5) = compose(X4,X5)
| ~ ilf_type(X5,relation_type(X2,X3))
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0))
| member(ordered_pair(esk17_0,esk19_0),esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_46,negated_conjecture,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_47,plain,
( member(ordered_pair(esk1_4(X1,X2,X3,X4),X2),X4)
| ~ member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_18]),c_0_18])]) ).
cnf(c_0_48,negated_conjecture,
ilf_type(esk16_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,X3,X4)),X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X1,X2),compose(X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_50,negated_conjecture,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_35,c_0_43]) ).
cnf(c_0_51,plain,
( compose5(X1,X2,X3,X4,X5) = compose(X4,X5)
| ~ ilf_type(X5,relation_type(X2,X3))
| ~ ilf_type(X4,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_18]),c_0_18]),c_0_18])]) ).
cnf(c_0_52,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0))
| ilf_type(esk19_0,member_type(esk13_0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_54,plain,
( member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X5,X2),X4)
| ~ member(ordered_pair(X1,X5),X3)
| ~ ilf_type(X5,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_55,negated_conjecture,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,esk1_4(X1,esk18_0,X2,esk16_0)),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),compose(X2,esk16_0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_56,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,X3,X4)),X3)
| ~ member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_18]),c_0_18])]) ).
cnf(c_0_57,negated_conjecture,
ilf_type(esk15_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_41,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| member(ordered_pair(esk19_0,esk18_0),esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_51]),c_0_32]),c_0_43])]) ).
cnf(c_0_59,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38]),c_0_39]) ).
cnf(c_0_60,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_53]) ).
cnf(c_0_61,plain,
( member(ordered_pair(X1,X2),compose(X3,X4))
| ~ member(ordered_pair(X5,X2),X4)
| ~ member(ordered_pair(X1,X5),X3)
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_18]),c_0_18]),c_0_18])]) ).
cnf(c_0_62,negated_conjecture,
member(ordered_pair(esk19_0,esk18_0),esk16_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_48])]),c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ~ member(ordered_pair(esk17_0,esk1_4(X1,esk18_0,X2,esk16_0)),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),compose(X2,esk16_0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_47]),c_0_48])]) ).
cnf(c_0_64,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| member(ordered_pair(esk17_0,esk19_0),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_51]),c_0_32]),c_0_43])]) ).
cnf(c_0_65,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_38]),c_0_39]) ).
cnf(c_0_66,negated_conjecture,
( ~ member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_51]),c_0_32]),c_0_43])]) ).
cnf(c_0_67,negated_conjecture,
( member(ordered_pair(X1,esk18_0),compose(X2,esk16_0))
| ~ member(ordered_pair(X1,esk19_0),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_48])]) ).
cnf(c_0_68,negated_conjecture,
member(ordered_pair(esk17_0,esk19_0),esk15_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_56]),c_0_57]),c_0_48])]),c_0_64]) ).
cnf(c_0_69,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| ~ member(ordered_pair(esk17_0,esk1_4(X1,esk18_0,X2,esk16_0)),esk15_0)
| ~ member(ordered_pair(X1,esk18_0),compose(X2,esk16_0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_47]),c_0_48])]) ).
cnf(c_0_70,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(esk19_0,member_type(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_51]),c_0_32]),c_0_43])]) ).
cnf(c_0_71,negated_conjecture,
( ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_57])]) ).
cnf(c_0_72,negated_conjecture,
ilf_type(esk19_0,member_type(esk13_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_56]),c_0_57]),c_0_48])]),c_0_70]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_62]),c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET684+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 10:26:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.41 # Preprocessing time : 0.022 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 74
% 0.24/1.41 # Proof object clause steps : 53
% 0.24/1.41 # Proof object formula steps : 21
% 0.24/1.41 # Proof object conjectures : 33
% 0.24/1.41 # Proof object clause conjectures : 30
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 17
% 0.24/1.41 # Proof object initial formulas used : 10
% 0.24/1.41 # Proof object generating inferences : 25
% 0.24/1.41 # Proof object simplifying inferences : 76
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 30
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 68
% 0.24/1.41 # Removed in clause preprocessing : 5
% 0.24/1.41 # Initial clauses in saturation : 63
% 0.24/1.41 # Processed clauses : 430
% 0.24/1.41 # ...of these trivial : 13
% 0.24/1.41 # ...subsumed : 86
% 0.24/1.41 # ...remaining for further processing : 331
% 0.24/1.41 # Other redundant clauses eliminated : 1
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 8
% 0.24/1.41 # Backward-rewritten : 23
% 0.24/1.41 # Generated clauses : 1349
% 0.24/1.41 # ...of the previous two non-trivial : 1307
% 0.24/1.41 # Contextual simplify-reflections : 43
% 0.24/1.41 # Paramodulations : 1340
% 0.24/1.41 # Factorizations : 6
% 0.24/1.41 # Equation resolutions : 3
% 0.24/1.41 # Current number of processed clauses : 300
% 0.24/1.41 # Positive orientable unit clauses : 72
% 0.24/1.41 # Positive unorientable unit clauses: 1
% 0.24/1.41 # Negative unit clauses : 6
% 0.24/1.41 # Non-unit-clauses : 221
% 0.24/1.41 # Current number of unprocessed clauses: 928
% 0.24/1.41 # ...number of literals in the above : 4218
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 31
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 7147
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 4027
% 0.24/1.41 # Non-unit clause-clause subsumptions : 105
% 0.24/1.41 # Unit Clause-clause subsumption calls : 374
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 14
% 0.24/1.41 # BW rewrite match successes : 7
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 30960
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.069 s
% 0.24/1.41 # System time : 0.004 s
% 0.24/1.41 # Total time : 0.073 s
% 0.24/1.41 # Maximum resident set size: 5456 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------