TSTP Solution File: SET681+3 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET681+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:59:12 EDT 2024
% Result : Theorem 0.53s 0.53s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 75 ( 12 unt; 0 def)
% Number of atoms : 284 ( 5 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 344 ( 135 ~; 137 |; 29 &)
% ( 8 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 127 ( 9 sgn 60 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p6,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/benchmark/theBenchmark.p',p6) ).
fof(p31,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
fof(prove_relset_1_48,conjecture,
! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ! [X4] :
( ilf_type(X4,member_type(X1))
=> ( member(X4,range(X2,X1,X3))
<=> ? [X5] :
( ilf_type(X5,member_type(X2))
& member(ordered_pair(X5,X4),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_48) ).
fof(p17,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/benchmark/theBenchmark.p',p17) ).
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/sandbox/benchmark/theBenchmark.p',p26) ).
fof(p29,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> range(X1,X2,X3) = range_of(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29) ).
fof(p10,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,range_of(X2))
<=> ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(p8,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/benchmark/theBenchmark.p',p8) ).
fof(p3,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/benchmark/theBenchmark.p',p3) ).
fof(c_0_10,plain,
! [X25,X26,X27,X28] :
( ( ~ ilf_type(X27,subset_type(cross_product(X25,X26)))
| ilf_type(X27,relation_type(X25,X26))
| ~ ilf_type(X26,set_type)
| ~ ilf_type(X25,set_type) )
& ( ~ ilf_type(X28,relation_type(X25,X26))
| ilf_type(X28,subset_type(cross_product(X25,X26)))
| ~ ilf_type(X26,set_type)
| ~ ilf_type(X25,set_type) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p6])])])])]) ).
fof(c_0_11,plain,
! [X86] : ilf_type(X86,set_type),
inference(variable_rename,[status(thm)],[p31]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ! [X4] :
( ilf_type(X4,member_type(X1))
=> ( member(X4,range(X2,X1,X3))
<=> ? [X5] :
( ilf_type(X5,member_type(X2))
& member(ordered_pair(X5,X4),X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_relset_1_48])]) ).
fof(c_0_13,plain,
! [X48] :
( ( relation_like(X48)
| ~ ilf_type(X48,binary_relation_type)
| ~ ilf_type(X48,set_type) )
& ( ilf_type(X48,set_type)
| ~ ilf_type(X48,binary_relation_type)
| ~ ilf_type(X48,set_type) )
& ( ~ relation_like(X48)
| ~ ilf_type(X48,set_type)
| ilf_type(X48,binary_relation_type)
| ~ ilf_type(X48,set_type) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p17])])])]) ).
fof(c_0_14,plain,
! [X71,X72,X73] :
( ~ ilf_type(X71,set_type)
| ~ ilf_type(X72,set_type)
| ~ ilf_type(X73,subset_type(cross_product(X71,X72)))
| relation_like(X73) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p26])])])]) ).
cnf(c_0_15,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,negated_conjecture,
! [X91] :
( ~ empty(esk12_0)
& ilf_type(esk12_0,set_type)
& ~ empty(esk13_0)
& ilf_type(esk13_0,set_type)
& ilf_type(esk14_0,relation_type(esk13_0,esk12_0))
& ilf_type(esk15_0,member_type(esk12_0))
& ( ~ member(esk15_0,range(esk13_0,esk12_0,esk14_0))
| ~ ilf_type(X91,member_type(esk13_0))
| ~ member(ordered_pair(X91,esk15_0),esk14_0) )
& ( ilf_type(esk16_0,member_type(esk13_0))
| member(esk15_0,range(esk13_0,esk12_0,esk14_0)) )
& ( member(ordered_pair(esk16_0,esk15_0),esk14_0)
| member(esk15_0,range(esk13_0,esk12_0,esk14_0)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])]) ).
cnf(c_0_18,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( relation_like(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,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_15,c_0_16]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
ilf_type(esk14_0,relation_type(esk13_0,esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X80,X81,X82] :
( ~ ilf_type(X80,set_type)
| ~ ilf_type(X81,set_type)
| ~ ilf_type(X82,relation_type(X80,X81))
| range(X80,X81,X82) = range_of(X82) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p29])])])]) ).
fof(c_0_23,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[p10]) ).
fof(c_0_24,plain,
! [X6,X7,X9] :
( ( ilf_type(esk1_2(X6,X7),set_type)
| ~ member(X6,range_of(X7))
| ~ ilf_type(X7,binary_relation_type)
| ~ ilf_type(X6,set_type) )
& ( member(ordered_pair(esk1_2(X6,X7),X6),X7)
| ~ member(X6,range_of(X7))
| ~ ilf_type(X7,binary_relation_type)
| ~ ilf_type(X6,set_type) )
& ( ~ ilf_type(X9,set_type)
| ~ member(ordered_pair(X9,X6),X7)
| member(X6,range_of(X7))
| ~ ilf_type(X7,binary_relation_type)
| ~ ilf_type(X6,set_type) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])])]) ).
cnf(c_0_25,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_18]) ).
cnf(c_0_26,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_19,c_0_16]),c_0_16])]) ).
cnf(c_0_27,negated_conjecture,
ilf_type(esk14_0,subset_type(cross_product(esk13_0,esk12_0))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[p8]) ).
fof(c_0_30,plain,
! [X36,X37] :
( ( ~ empty(X36)
| ~ ilf_type(X37,set_type)
| ~ member(X37,X36)
| ~ ilf_type(X36,set_type) )
& ( ilf_type(esk4_1(X36),set_type)
| empty(X36)
| ~ ilf_type(X36,set_type) )
& ( member(esk4_1(X36),X36)
| empty(X36)
| ~ ilf_type(X36,set_type) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])])]) ).
fof(c_0_31,plain,
! [X13,X14,X15,X16,X17] :
( ( member(X15,X13)
| ~ member(ordered_pair(X15,X16),X17)
| ~ ilf_type(X17,relation_type(X13,X14))
| ~ ilf_type(X16,set_type)
| ~ ilf_type(X15,set_type)
| ~ ilf_type(X14,set_type)
| ~ ilf_type(X13,set_type) )
& ( member(X16,X14)
| ~ member(ordered_pair(X15,X16),X17)
| ~ ilf_type(X17,relation_type(X13,X14))
| ~ ilf_type(X16,set_type)
| ~ ilf_type(X15,set_type)
| ~ ilf_type(X14,set_type)
| ~ ilf_type(X13,set_type) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])])]) ).
cnf(c_0_32,plain,
( member(ordered_pair(esk1_2(X1,X2),X1),X2)
| ~ member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_16])]) ).
cnf(c_0_34,negated_conjecture,
relation_like(esk14_0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_16]),c_0_16])]) ).
fof(c_0_36,plain,
! [X32,X33] :
( ( ~ ilf_type(X32,member_type(X33))
| member(X32,X33)
| empty(X33)
| ~ ilf_type(X33,set_type)
| ~ ilf_type(X32,set_type) )
& ( ~ member(X32,X33)
| ilf_type(X32,member_type(X33))
| empty(X33)
| ~ ilf_type(X33,set_type)
| ~ ilf_type(X32,set_type) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
cnf(c_0_37,plain,
( ~ empty(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),X4)
| ~ ilf_type(X4,relation_type(X2,X5))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( member(ordered_pair(esk1_2(X1,X2),X1),X2)
| ~ member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_16])]) ).
cnf(c_0_40,negated_conjecture,
ilf_type(esk14_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( member(ordered_pair(esk16_0,esk15_0),esk14_0)
| member(esk15_0,range(esk13_0,esk12_0,esk14_0)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_42,negated_conjecture,
range(esk13_0,esk12_0,esk14_0) = range_of(esk14_0),
inference(spm,[status(thm)],[c_0_35,c_0_21]) ).
cnf(c_0_43,plain,
( ilf_type(X1,member_type(X2))
| empty(X2)
| ~ member(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_16]),c_0_16])]) ).
cnf(c_0_45,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| member(esk15_0,range(esk13_0,esk12_0,esk14_0)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_46,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_38,c_0_16]),c_0_16]),c_0_16]),c_0_16])]) ).
cnf(c_0_47,negated_conjecture,
( member(ordered_pair(esk1_2(X1,esk14_0),X1),esk14_0)
| ~ member(X1,range_of(esk14_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( member(ordered_pair(esk16_0,esk15_0),esk14_0)
| member(esk15_0,range_of(esk14_0)) ),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
( member(X1,X2)
| empty(X2)
| ~ ilf_type(X1,member_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,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_43,c_0_16]),c_0_16])]),c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| ~ empty(range(esk13_0,esk12_0,esk14_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( ~ member(esk15_0,range(esk13_0,esk12_0,esk14_0))
| ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(X1,esk15_0),esk14_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53,negated_conjecture,
( member(X1,esk13_0)
| ~ member(ordered_pair(X1,X2),esk14_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_21]) ).
cnf(c_0_54,negated_conjecture,
( member(ordered_pair(esk1_2(esk15_0,esk14_0),esk15_0),esk14_0)
| member(ordered_pair(esk16_0,esk15_0),esk14_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X2,member_type(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_16]),c_0_16])]) ).
cnf(c_0_56,negated_conjecture,
( ilf_type(esk15_0,member_type(range(esk13_0,esk12_0,esk14_0)))
| ilf_type(esk16_0,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_45]) ).
cnf(c_0_57,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| ~ empty(range_of(esk14_0)) ),
inference(rw,[status(thm)],[c_0_51,c_0_42]) ).
cnf(c_0_58,plain,
( member(X2,range_of(X3))
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_59,negated_conjecture,
( ~ member(ordered_pair(X1,esk15_0),esk14_0)
| ~ member(esk15_0,range_of(esk14_0))
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(rw,[status(thm)],[c_0_52,c_0_42]) ).
cnf(c_0_60,negated_conjecture,
( member(ordered_pair(esk16_0,esk15_0),esk14_0)
| member(esk1_2(esk15_0,esk14_0),esk13_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( member(esk15_0,range_of(esk14_0))
| ilf_type(esk16_0,member_type(esk13_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_42]),c_0_42]),c_0_57]) ).
cnf(c_0_62,plain,
( member(X1,range_of(X2))
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_16]),c_0_16])]) ).
cnf(c_0_63,negated_conjecture,
( member(ordered_pair(esk16_0,esk15_0),esk14_0)
| ~ member(ordered_pair(X1,esk15_0),esk14_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_48]) ).
cnf(c_0_64,negated_conjecture,
( member(ordered_pair(esk16_0,esk15_0),esk14_0)
| ilf_type(esk1_2(esk15_0,esk14_0),member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( member(ordered_pair(esk1_2(esk15_0,esk14_0),esk15_0),esk14_0)
| ilf_type(esk16_0,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( member(X1,range_of(esk14_0))
| ~ member(ordered_pair(X2,X1),esk14_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_40]) ).
cnf(c_0_67,negated_conjecture,
member(ordered_pair(esk16_0,esk15_0),esk14_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_54]) ).
cnf(c_0_68,negated_conjecture,
( member(esk1_2(esk15_0,esk14_0),esk13_0)
| ilf_type(esk16_0,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
member(esk15_0,range_of(esk14_0)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| ~ member(ordered_pair(X1,esk15_0),esk14_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
( ilf_type(esk1_2(esk15_0,esk14_0),member_type(esk13_0))
| ilf_type(esk16_0,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( ~ member(ordered_pair(X1,esk15_0),esk14_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_69])]) ).
cnf(c_0_73,negated_conjecture,
ilf_type(esk16_0,member_type(esk13_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_65]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_67])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET681+3 : TPTP v8.2.0. Released v2.2.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 12:39:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.53 # Version: 3.1.0
% 0.53/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.53/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.53/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.53/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.53/0.53 # Starting sh5l with 300s (1) cores
% 0.53/0.53 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 24168 completed with status 0
% 0.53/0.53 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.53/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.53/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.53/0.53 # No SInE strategy applied
% 0.53/0.53 # Search class: FGHSF-FFMM31-SFFFFFNN
% 0.53/0.53 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.53/0.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.53/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.53/0.53 # Starting new_bool_3 with 136s (1) cores
% 0.53/0.53 # Starting new_bool_1 with 136s (1) cores
% 0.53/0.53 # Starting U----_212g_01_C10_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.53/0.53 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 24175 completed with status 0
% 0.53/0.53 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.53/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.53/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.53/0.53 # No SInE strategy applied
% 0.53/0.53 # Search class: FGHSF-FFMM31-SFFFFFNN
% 0.53/0.53 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.53/0.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.53/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.53/0.53 # Preprocessing time : 0.002 s
% 0.53/0.53 # Presaturation interreduction done
% 0.53/0.53
% 0.53/0.53 # Proof found!
% 0.53/0.53 # SZS status Theorem
% 0.53/0.53 # SZS output start CNFRefutation
% See solution above
% 0.53/0.53 # Parsed axioms : 32
% 0.53/0.53 # Removed by relevancy pruning/SinE : 0
% 0.53/0.53 # Initial clauses : 65
% 0.53/0.53 # Removed in clause preprocessing : 3
% 0.53/0.53 # Initial clauses in saturation : 62
% 0.53/0.53 # Processed clauses : 328
% 0.53/0.53 # ...of these trivial : 18
% 0.53/0.53 # ...subsumed : 74
% 0.53/0.53 # ...remaining for further processing : 236
% 0.53/0.53 # Other redundant clauses eliminated : 6
% 0.53/0.53 # Clauses deleted for lack of memory : 0
% 0.53/0.53 # Backward-subsumed : 2
% 0.53/0.53 # Backward-rewritten : 34
% 0.53/0.53 # Generated clauses : 969
% 0.53/0.53 # ...of the previous two non-redundant : 889
% 0.53/0.53 # ...aggressively subsumed : 0
% 0.53/0.53 # Contextual simplify-reflections : 5
% 0.53/0.53 # Paramodulations : 949
% 0.53/0.53 # Factorizations : 2
% 0.53/0.53 # NegExts : 0
% 0.53/0.53 # Equation resolutions : 6
% 0.53/0.53 # Disequality decompositions : 0
% 0.53/0.53 # Total rewrite steps : 216
% 0.53/0.53 # ...of those cached : 153
% 0.53/0.53 # Propositional unsat checks : 0
% 0.53/0.53 # Propositional check models : 0
% 0.53/0.53 # Propositional check unsatisfiable : 0
% 0.53/0.53 # Propositional clauses : 0
% 0.53/0.53 # Propositional clauses after purity: 0
% 0.53/0.53 # Propositional unsat core size : 0
% 0.53/0.53 # Propositional preprocessing time : 0.000
% 0.53/0.53 # Propositional encoding time : 0.000
% 0.53/0.53 # Propositional solver time : 0.000
% 0.53/0.53 # Success case prop preproc time : 0.000
% 0.53/0.53 # Success case prop encoding time : 0.000
% 0.53/0.53 # Success case prop solver time : 0.000
% 0.53/0.53 # Current number of processed clauses : 142
% 0.53/0.53 # Positive orientable unit clauses : 58
% 0.53/0.53 # Positive unorientable unit clauses: 1
% 0.53/0.53 # Negative unit clauses : 7
% 0.53/0.53 # Non-unit-clauses : 76
% 0.53/0.53 # Current number of unprocessed clauses: 656
% 0.53/0.53 # ...number of literals in the above : 2069
% 0.53/0.53 # Current number of archived formulas : 0
% 0.53/0.53 # Current number of archived clauses : 92
% 0.53/0.53 # Clause-clause subsumption calls (NU) : 1657
% 0.53/0.53 # Rec. Clause-clause subsumption calls : 1460
% 0.53/0.53 # Non-unit clause-clause subsumptions : 48
% 0.53/0.53 # Unit Clause-clause subsumption calls : 332
% 0.53/0.53 # Rewrite failures with RHS unbound : 0
% 0.53/0.53 # BW rewrite match attempts : 16
% 0.53/0.53 # BW rewrite match successes : 6
% 0.53/0.53 # Condensation attempts : 0
% 0.53/0.53 # Condensation successes : 0
% 0.53/0.53 # Termbank termtop insertions : 15723
% 0.53/0.53 # Search garbage collected termcells : 1437
% 0.53/0.53
% 0.53/0.53 # -------------------------------------------------
% 0.53/0.53 # User time : 0.033 s
% 0.53/0.53 # System time : 0.004 s
% 0.53/0.53 # Total time : 0.037 s
% 0.53/0.53 # Maximum resident set size: 1908 pages
% 0.53/0.53
% 0.53/0.53 # -------------------------------------------------
% 0.53/0.53 # User time : 0.127 s
% 0.53/0.53 # System time : 0.016 s
% 0.53/0.53 # Total time : 0.143 s
% 0.53/0.53 # Maximum resident set size: 1752 pages
% 0.53/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------