TSTP Solution File: SET650+3 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET650+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 02:59:05 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 8 unt; 0 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 385 ( 159 ~; 165 |; 24 &)
% ( 5 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 136 ( 9 sgn 56 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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(p26,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
fof(prove_relset_1_12,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(domain_of(X3),X1)
& subset(range_of(X3),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_12) ).
fof(p2,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',p2) ).
fof(p18,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X1,power_set(X2))
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,domain_of(X2))
<=> ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(p10,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(p8,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',p8) ).
fof(p13,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',p13) ).
fof(p23,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',p23) ).
fof(c_0_10,plain,
! [X33,X34,X35,X36,X37] :
( ( member(X35,X33)
| ~ member(ordered_pair(X35,X36),X37)
| ~ ilf_type(X37,relation_type(X33,X34))
| ~ ilf_type(X36,set_type)
| ~ ilf_type(X35,set_type)
| ~ ilf_type(X34,set_type)
| ~ ilf_type(X33,set_type) )
& ( member(X36,X34)
| ~ member(ordered_pair(X35,X36),X37)
| ~ ilf_type(X37,relation_type(X33,X34))
| ~ ilf_type(X36,set_type)
| ~ ilf_type(X35,set_type)
| ~ ilf_type(X34,set_type)
| ~ ilf_type(X33,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])])])])]) ).
fof(c_0_11,plain,
! [X32] : ilf_type(X32,set_type),
inference(variable_rename,[status(thm)],[p26]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(domain_of(X3),X1)
& subset(range_of(X3),X2) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_12]) ).
fof(c_0_13,plain,
! [X14,X15,X17] :
( ( ilf_type(esk5_2(X14,X15),set_type)
| ~ member(X14,range_of(X15))
| ~ ilf_type(X15,binary_relation_type)
| ~ ilf_type(X14,set_type) )
& ( member(ordered_pair(esk5_2(X14,X15),X14),X15)
| ~ member(X14,range_of(X15))
| ~ ilf_type(X15,binary_relation_type)
| ~ ilf_type(X14,set_type) )
& ( ~ ilf_type(X17,set_type)
| ~ member(ordered_pair(X17,X14),X15)
| member(X14,range_of(X15))
| ~ ilf_type(X15,binary_relation_type)
| ~ ilf_type(X14,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)],[p2])])])])])]) ).
fof(c_0_14,plain,
! [X61,X62,X63] :
( ( ~ member(X61,power_set(X62))
| ~ ilf_type(X63,set_type)
| ~ member(X63,X61)
| member(X63,X62)
| ~ ilf_type(X62,set_type)
| ~ ilf_type(X61,set_type) )
& ( ilf_type(esk13_2(X61,X62),set_type)
| member(X61,power_set(X62))
| ~ ilf_type(X62,set_type)
| ~ ilf_type(X61,set_type) )
& ( member(esk13_2(X61,X62),X61)
| member(X61,power_set(X62))
| ~ ilf_type(X62,set_type)
| ~ ilf_type(X61,set_type) )
& ( ~ member(esk13_2(X61,X62),X62)
| member(X61,power_set(X62))
| ~ ilf_type(X62,set_type)
| ~ ilf_type(X61,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)],[p18])])])])])]) ).
fof(c_0_15,plain,
! [X23,X24,X26] :
( ( ilf_type(esk7_2(X23,X24),set_type)
| ~ member(X23,domain_of(X24))
| ~ ilf_type(X24,binary_relation_type)
| ~ ilf_type(X23,set_type) )
& ( member(ordered_pair(X23,esk7_2(X23,X24)),X24)
| ~ member(X23,domain_of(X24))
| ~ ilf_type(X24,binary_relation_type)
| ~ ilf_type(X23,set_type) )
& ( ~ ilf_type(X26,set_type)
| ~ member(ordered_pair(X23,X26),X24)
| member(X23,domain_of(X24))
| ~ ilf_type(X24,binary_relation_type)
| ~ ilf_type(X23,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_16,plain,
( member(X1,X2)
| ~ member(ordered_pair(X3,X1),X4)
| ~ ilf_type(X4,relation_type(X5,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X5,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,relation_type(esk1_0,esk2_0))
& ( ~ subset(domain_of(esk3_0),esk1_0)
| ~ subset(range_of(esk3_0),esk2_0) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
cnf(c_0_19,plain,
( member(ordered_pair(esk5_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_13]) ).
cnf(c_0_20,plain,
( member(esk13_2(X1,X2),X1)
| member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,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_10]) ).
cnf(c_0_22,plain,
( member(ordered_pair(X1,esk7_2(X1,X2)),X2)
| ~ member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,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_16,c_0_17]),c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_24,negated_conjecture,
ilf_type(esk3_0,relation_type(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( member(ordered_pair(esk5_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_19,c_0_17])]) ).
cnf(c_0_26,plain,
( member(esk13_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_17]),c_0_17])]) ).
fof(c_0_27,plain,
! [X9,X10,X11] :
( ( ~ subset(X9,X10)
| ~ ilf_type(X11,set_type)
| ~ member(X11,X9)
| member(X11,X10)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X9,set_type) )
& ( ilf_type(esk4_2(X9,X10),set_type)
| subset(X9,X10)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X9,set_type) )
& ( member(esk4_2(X9,X10),X9)
| subset(X9,X10)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X9,set_type) )
& ( ~ member(esk4_2(X9,X10),X10)
| subset(X9,X10)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X9,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)],[p10])])])])])]) ).
cnf(c_0_28,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_21,c_0_17]),c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_29,plain,
( member(ordered_pair(X1,esk7_2(X1,X2)),X2)
| ~ member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_17])]) ).
cnf(c_0_30,plain,
( member(X1,power_set(X2))
| ~ member(esk13_2(X1,X2),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
( member(X1,esk2_0)
| ~ member(ordered_pair(X2,X1),esk3_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,plain,
( member(ordered_pair(esk5_2(esk13_2(range_of(X1),X2),X1),esk13_2(range_of(X1),X2)),X1)
| member(range_of(X1),power_set(X2))
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
( member(esk4_2(X1,X2),X1)
| subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( subset(X1,X2)
| ~ member(esk4_2(X1,X2),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( member(X1,esk1_0)
| ~ member(ordered_pair(X1,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_36,plain,
( member(ordered_pair(esk13_2(domain_of(X1),X2),esk7_2(esk13_2(domain_of(X1),X2),X1)),X1)
| member(domain_of(X1),power_set(X2))
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_37,plain,
( member(X3,X2)
| ~ member(X1,power_set(X2))
| ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,plain,
( member(X1,power_set(X2))
| ~ member(esk13_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_17]),c_0_17])]) ).
cnf(c_0_39,negated_conjecture,
( member(esk13_2(range_of(esk3_0),X1),esk2_0)
| member(range_of(esk3_0),power_set(X1))
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( ~ subset(domain_of(esk3_0),esk1_0)
| ~ subset(range_of(esk3_0),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,plain,
( subset(X1,X2)
| member(esk4_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_17]),c_0_17])]) ).
cnf(c_0_42,plain,
( subset(X1,X2)
| ~ member(esk4_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_17]),c_0_17])]) ).
fof(c_0_43,plain,
! [X38,X39,X40,X41] :
( ( ~ ilf_type(X40,subset_type(cross_product(X38,X39)))
| ilf_type(X40,relation_type(X38,X39))
| ~ ilf_type(X39,set_type)
| ~ ilf_type(X38,set_type) )
& ( ~ ilf_type(X41,relation_type(X38,X39))
| ilf_type(X41,subset_type(cross_product(X38,X39)))
| ~ ilf_type(X39,set_type)
| ~ ilf_type(X38,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)],[p8])])])])]) ).
cnf(c_0_44,negated_conjecture,
( member(esk13_2(domain_of(esk3_0),X1),esk1_0)
| member(domain_of(esk3_0),power_set(X1))
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_46,negated_conjecture,
( member(range_of(esk3_0),power_set(esk2_0))
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( member(esk4_2(range_of(esk3_0),esk2_0),range_of(esk3_0))
| ~ subset(domain_of(esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( ~ subset(domain_of(esk3_0),esk1_0)
| ~ member(esk4_2(range_of(esk3_0),esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_42]) ).
fof(c_0_49,plain,
! [X66] :
( ( relation_like(X66)
| ~ ilf_type(X66,binary_relation_type)
| ~ ilf_type(X66,set_type) )
& ( ilf_type(X66,set_type)
| ~ ilf_type(X66,binary_relation_type)
| ~ ilf_type(X66,set_type) )
& ( ~ relation_like(X66)
| ~ ilf_type(X66,set_type)
| ilf_type(X66,binary_relation_type)
| ~ ilf_type(X66,set_type) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p13])])])]) ).
fof(c_0_50,plain,
! [X52,X53,X54] :
( ~ ilf_type(X52,set_type)
| ~ ilf_type(X53,set_type)
| ~ ilf_type(X54,subset_type(cross_product(X52,X53)))
| relation_like(X54) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p23])])])]) ).
cnf(c_0_51,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_43]) ).
cnf(c_0_52,negated_conjecture,
( member(domain_of(esk3_0),power_set(esk1_0))
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_38,c_0_44]) ).
cnf(c_0_53,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,range_of(esk3_0))
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
( member(esk4_2(domain_of(esk3_0),esk1_0),domain_of(esk3_0))
| member(esk4_2(range_of(esk3_0),esk2_0),range_of(esk3_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_41]) ).
cnf(c_0_55,negated_conjecture,
( member(esk4_2(domain_of(esk3_0),esk1_0),domain_of(esk3_0))
| ~ member(esk4_2(range_of(esk3_0),esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_41]) ).
cnf(c_0_56,negated_conjecture,
( member(esk4_2(range_of(esk3_0),esk2_0),range_of(esk3_0))
| ~ member(esk4_2(domain_of(esk3_0),esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_57,negated_conjecture,
( ~ member(esk4_2(range_of(esk3_0),esk2_0),esk2_0)
| ~ member(esk4_2(domain_of(esk3_0),esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_42]) ).
cnf(c_0_58,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_49]) ).
cnf(c_0_59,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_50]) ).
cnf(c_0_60,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_51,c_0_17]),c_0_17])]) ).
cnf(c_0_61,negated_conjecture,
( member(X1,esk1_0)
| ~ member(X1,domain_of(esk3_0))
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_45,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
( member(esk4_2(domain_of(esk3_0),esk1_0),domain_of(esk3_0))
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_63,negated_conjecture,
( ~ member(esk4_2(domain_of(esk3_0),esk1_0),esk1_0)
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_57]) ).
cnf(c_0_64,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_58]) ).
cnf(c_0_65,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_59,c_0_17]),c_0_17])]) ).
cnf(c_0_66,negated_conjecture,
ilf_type(esk3_0,subset_type(cross_product(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_60,c_0_24]) ).
cnf(c_0_67,negated_conjecture,
~ ilf_type(esk3_0,binary_relation_type),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_68,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_17])]) ).
cnf(c_0_69,negated_conjecture,
relation_like(esk3_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET650+3 : TPTP v8.2.0. Released v2.2.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n026.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 13:30:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 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
% 0.21/0.53 # Version: 3.1.0
% 0.21/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # new_bool_3 with pid 13180 completed with status 0
% 0.21/0.53 # Result found by new_bool_3
% 0.21/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.21/0.53 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 13185 completed with status 0
% 0.21/0.53 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.21/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.21/0.53 # Preprocessing time : 0.002 s
% 0.21/0.53 # Presaturation interreduction done
% 0.21/0.53
% 0.21/0.53 # Proof found!
% 0.21/0.53 # SZS status Theorem
% 0.21/0.53 # SZS output start CNFRefutation
% See solution above
% 0.21/0.54 # Parsed axioms : 27
% 0.21/0.54 # Removed by relevancy pruning/SinE : 1
% 0.21/0.54 # Initial clauses : 55
% 0.21/0.54 # Removed in clause preprocessing : 1
% 0.21/0.54 # Initial clauses in saturation : 54
% 0.21/0.54 # Processed clauses : 273
% 0.21/0.54 # ...of these trivial : 15
% 0.21/0.54 # ...subsumed : 36
% 0.21/0.54 # ...remaining for further processing : 222
% 0.21/0.54 # Other redundant clauses eliminated : 1
% 0.21/0.54 # Clauses deleted for lack of memory : 0
% 0.21/0.54 # Backward-subsumed : 27
% 0.21/0.54 # Backward-rewritten : 5
% 0.21/0.54 # Generated clauses : 1158
% 0.21/0.54 # ...of the previous two non-redundant : 1114
% 0.21/0.54 # ...aggressively subsumed : 0
% 0.21/0.54 # Contextual simplify-reflections : 3
% 0.21/0.54 # Paramodulations : 1157
% 0.21/0.54 # Factorizations : 0
% 0.21/0.54 # NegExts : 0
% 0.21/0.54 # Equation resolutions : 1
% 0.21/0.54 # Disequality decompositions : 0
% 0.21/0.54 # Total rewrite steps : 141
% 0.21/0.54 # ...of those cached : 107
% 0.21/0.54 # Propositional unsat checks : 0
% 0.21/0.54 # Propositional check models : 0
% 0.21/0.54 # Propositional check unsatisfiable : 0
% 0.21/0.54 # Propositional clauses : 0
% 0.21/0.54 # Propositional clauses after purity: 0
% 0.21/0.54 # Propositional unsat core size : 0
% 0.21/0.54 # Propositional preprocessing time : 0.000
% 0.21/0.54 # Propositional encoding time : 0.000
% 0.21/0.54 # Propositional solver time : 0.000
% 0.21/0.54 # Success case prop preproc time : 0.000
% 0.21/0.54 # Success case prop encoding time : 0.000
% 0.21/0.54 # Success case prop solver time : 0.000
% 0.21/0.54 # Current number of processed clauses : 154
% 0.21/0.54 # Positive orientable unit clauses : 24
% 0.21/0.54 # Positive unorientable unit clauses: 0
% 0.21/0.54 # Negative unit clauses : 2
% 0.21/0.54 # Non-unit-clauses : 128
% 0.21/0.54 # Current number of unprocessed clauses: 931
% 0.21/0.54 # ...number of literals in the above : 3210
% 0.21/0.54 # Current number of archived formulas : 0
% 0.21/0.54 # Current number of archived clauses : 68
% 0.21/0.54 # Clause-clause subsumption calls (NU) : 3467
% 0.21/0.54 # Rec. Clause-clause subsumption calls : 2604
% 0.21/0.54 # Non-unit clause-clause subsumptions : 40
% 0.21/0.54 # Unit Clause-clause subsumption calls : 93
% 0.21/0.54 # Rewrite failures with RHS unbound : 0
% 0.21/0.54 # BW rewrite match attempts : 10
% 0.21/0.54 # BW rewrite match successes : 5
% 0.21/0.54 # Condensation attempts : 0
% 0.21/0.54 # Condensation successes : 0
% 0.21/0.54 # Termbank termtop insertions : 27334
% 0.21/0.54 # Search garbage collected termcells : 1227
% 0.21/0.54
% 0.21/0.54 # -------------------------------------------------
% 0.21/0.54 # User time : 0.041 s
% 0.21/0.54 # System time : 0.006 s
% 0.21/0.54 # Total time : 0.047 s
% 0.21/0.54 # Maximum resident set size: 1872 pages
% 0.21/0.54
% 0.21/0.54 # -------------------------------------------------
% 0.21/0.54 # User time : 0.044 s
% 0.21/0.54 # System time : 0.007 s
% 0.21/0.54 # Total time : 0.051 s
% 0.21/0.54 # Maximum resident set size: 1748 pages
% 0.21/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------