%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET648+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:14:52 PM UTC 2026
% Result : Theorem 0.18s 0.56s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 58 ( 13 unt; 0 def)
% Number of atoms : 239 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 296 ( 115 ~; 117 |; 20 &)
% ( 7 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 107 ( 2 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p3,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( subset(X1,X2)
=> ( subset(cross_product(X3,X1),cross_product(X3,X2))
& subset(cross_product(X1,X3),cross_product(X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(p26,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(prove_relset_1_10,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( subset(range_of(X2),X1)
=> ilf_type(X2,relation_type(domain_of(X2),X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_10) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( subset(X2,X3)
& subset(X1,X2) )
=> subset(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> subset(X1,cross_product(domain_of(X1),range_of(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(p12,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/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(p24,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(p20,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/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(p22,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(p15,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,subset_type(X1))
<=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(p4,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(c_0_11,plain,
! [X9,X10,X11] :
( ( ~ ilf_type(X9,set_type)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X11,set_type)
| ~ subset(X9,X10)
| subset(cross_product(X11,X9),cross_product(X11,X10)) )
& ( ~ ilf_type(X9,set_type)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X11,set_type)
| ~ subset(X9,X10)
| subset(cross_product(X9,X11),cross_product(X10,X11)) ) ),
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_12,plain,
! [X67] : ilf_type(X67,set_type),
inference(variable_rename,[status(thm)],[p26]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( subset(range_of(X2),X1)
=> ilf_type(X2,relation_type(domain_of(X2),X1)) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_10]) ).
fof(c_0_14,plain,
! [X5,X6,X7] :
( subset(X5,X7)
| ~ subset(X6,X7)
| ~ subset(X5,X6)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])]) ).
cnf(c_0_15,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X2,X3)
| subset(cross_product(X1,X2),cross_product(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,negated_conjecture,
( ~ ilf_type(esk14_0,relation_type(domain_of(esk14_0),esk13_0))
& subset(range_of(esk14_0),esk13_0)
& ilf_type(esk14_0,binary_relation_type)
& ilf_type(esk13_0,set_type) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_18,plain,
( ~ subset(X2,X3)
| ~ subset(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ subset(X2,X3)
| subset(cross_product(X1,X2),cross_product(X1,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]),c_0_16])]) ).
cnf(c_0_20,negated_conjecture,
subset(range_of(esk14_0),esk13_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X8] :
( subset(X8,cross_product(domain_of(X8),range_of(X8)))
| ~ ilf_type(X8,binary_relation_type) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])]) ).
fof(c_0_22,plain,
! [X31,X32,X33] :
( ( ~ ilf_type(X31,set_type)
| ~ ilf_type(X32,set_type)
| subset(X31,X32)
| ~ member(esk5_2(X31,X32),X32) )
& ( ~ ilf_type(X31,set_type)
| ~ ilf_type(X32,set_type)
| subset(X31,X32)
| member(esk5_2(X31,X32),X31) )
& ( ~ ilf_type(X31,set_type)
| ~ ilf_type(X32,set_type)
| subset(X31,X32)
| ilf_type(esk5_2(X31,X32),set_type) )
& ( ~ ilf_type(X31,set_type)
| ~ ilf_type(X32,set_type)
| member(X33,X32)
| ~ member(X33,X31)
| ~ ilf_type(X33,set_type)
| ~ subset(X31,X32) ) ),
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)],[p12])])])])])]) ).
cnf(c_0_23,plain,
( ~ subset(X1,X3)
| ~ subset(X3,X2)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_16]),c_0_16]),c_0_16])]) ).
cnf(c_0_24,negated_conjecture,
subset(cross_product(X1,range_of(esk14_0)),cross_product(X1,esk13_0)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( ~ ilf_type(X1,binary_relation_type)
| subset(X1,cross_product(domain_of(X1),range_of(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
ilf_type(esk14_0,binary_relation_type),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_27,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[p24]) ).
cnf(c_0_28,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2)
| member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( ~ subset(X1,cross_product(X2,range_of(esk14_0)))
| subset(X1,cross_product(X2,esk13_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
subset(esk14_0,cross_product(domain_of(esk14_0),range_of(esk14_0))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_31,plain,
! [X54,X55,X56] :
( ( ~ ilf_type(X54,set_type)
| ~ ilf_type(X55,set_type)
| member(X54,power_set(X55))
| ~ member(esk10_2(X54,X55),X55) )
& ( ~ ilf_type(X54,set_type)
| ~ ilf_type(X55,set_type)
| member(X54,power_set(X55))
| member(esk10_2(X54,X55),X54) )
& ( ~ ilf_type(X54,set_type)
| ~ ilf_type(X55,set_type)
| member(X54,power_set(X55))
| ilf_type(esk10_2(X54,X55),set_type) )
& ( ~ ilf_type(X54,set_type)
| ~ ilf_type(X55,set_type)
| member(X56,X55)
| ~ member(X56,X54)
| ~ ilf_type(X56,set_type)
| ~ member(X54,power_set(X55)) ) ),
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)],[p20])])])])])]) ).
fof(c_0_32,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[p22]) ).
fof(c_0_33,plain,
! [X63,X64] :
( ( ~ ilf_type(X63,set_type)
| empty(X63)
| member(esk12_1(X63),X63) )
& ( ~ ilf_type(X63,set_type)
| empty(X63)
| ilf_type(esk12_1(X63),set_type) )
& ( ~ ilf_type(X63,set_type)
| ~ member(X64,X63)
| ~ ilf_type(X64,set_type)
| ~ empty(X63) ) ),
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_27])])])])])]) ).
cnf(c_0_34,plain,
( ~ subset(X3,X2)
| ~ member(X1,X3)
| member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_16]),c_0_16]),c_0_16])]) ).
cnf(c_0_35,negated_conjecture,
subset(esk14_0,cross_product(domain_of(esk14_0),esk13_0)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X1,power_set(X2))
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X59,X60] :
( ( ~ ilf_type(X59,set_type)
| ~ ilf_type(X60,set_type)
| empty(X60)
| ilf_type(X59,member_type(X60))
| ~ member(X59,X60) )
& ( ~ ilf_type(X59,set_type)
| ~ ilf_type(X60,set_type)
| empty(X60)
| member(X59,X60)
| ~ ilf_type(X59,member_type(X60)) ) ),
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_32])])])])]) ).
cnf(c_0_38,plain,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk10_2(X1,X2),X2)
| member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( ~ member(X1,esk14_0)
| member(X1,cross_product(domain_of(esk14_0),esk13_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( member(X1,power_set(X2))
| member(esk10_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_16]),c_0_16])]) ).
fof(c_0_42,plain,
! [X39,X40] :
( ( ~ ilf_type(X39,set_type)
| ~ ilf_type(X40,set_type)
| ilf_type(X40,subset_type(X39))
| ~ ilf_type(X40,member_type(power_set(X39))) )
& ( ~ ilf_type(X39,set_type)
| ~ ilf_type(X40,set_type)
| ilf_type(X40,member_type(power_set(X39)))
| ~ ilf_type(X40,subset_type(X39)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])])])]) ).
cnf(c_0_43,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2)
| empty(X2)
| ilf_type(X1,member_type(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( ~ member(X2,X1)
| ~ empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_16]),c_0_16])]) ).
cnf(c_0_45,plain,
( ~ member(esk10_2(X1,X2),X2)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_16]),c_0_16])]) ).
cnf(c_0_46,negated_conjecture,
( member(esk14_0,power_set(X1))
| member(esk10_2(esk14_0,X1),cross_product(domain_of(esk14_0),esk13_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_47,plain,
! [X12,X13,X14,X15] :
( ( ~ ilf_type(X12,set_type)
| ~ ilf_type(X13,set_type)
| ilf_type(X15,subset_type(cross_product(X12,X13)))
| ~ ilf_type(X15,relation_type(X12,X13)) )
& ( ~ ilf_type(X12,set_type)
| ~ ilf_type(X13,set_type)
| ilf_type(X14,relation_type(X12,X13))
| ~ ilf_type(X14,subset_type(cross_product(X12,X13))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])])]) ).
cnf(c_0_48,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X2)))
| ilf_type(X1,subset_type(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( ~ member(X1,X2)
| ilf_type(X1,member_type(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_50,negated_conjecture,
member(esk14_0,power_set(cross_product(domain_of(esk14_0),esk13_0))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ilf_type(X1,relation_type(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,plain,
( ~ ilf_type(X1,member_type(power_set(X2)))
| ilf_type(X1,subset_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_16]),c_0_16])]) ).
cnf(c_0_53,negated_conjecture,
ilf_type(esk14_0,member_type(power_set(cross_product(domain_of(esk14_0),esk13_0)))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,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_16]),c_0_16])]) ).
cnf(c_0_55,negated_conjecture,
ilf_type(esk14_0,subset_type(cross_product(domain_of(esk14_0),esk13_0))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
~ ilf_type(esk14_0,relation_type(domain_of(esk14_0),esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET648+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:32:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.56 % Version: 3.5.1
% 0.18/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.56 % Starting sh5l with 300s (1) cores
% 0.18/0.56 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2102435 completed with status 0
% 0.18/0.56 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.56 % No SInE strategy applied
% 0.18/0.56 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.18/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.56 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.18/0.56 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.18/0.56 % Starting new_bool_3 with 136s (1) cores
% 0.18/0.56 % new_bool_3 with pid 2102446 completed with status 0
% 0.18/0.56 % Result found by new_bool_3
% 0.18/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.56 % No SInE strategy applied
% 0.18/0.56 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.18/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.56 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.18/0.56 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.18/0.56 % Starting new_bool_3 with 136s (1) cores
% 0.18/0.56 % Preprocessing time : 0.002 s
% 0.18/0.56 % Presaturation interreduction done
% 0.18/0.56
% 0.18/0.56 % Proof found!
% 0.18/0.56 % SZS status Theorem
% 0.18/0.56 % SZS output start CNFRefutation
% See solution above
% 0.18/0.56 % Parsed axioms : 27
% 0.18/0.56 % Removed by relevancy pruning/SinE : 0
% 0.18/0.56 % Initial clauses : 54
% 0.18/0.56 % Removed in clause preprocessing : 1
% 0.18/0.56 % Initial clauses in saturation : 53
% 0.18/0.56 % Processed clauses : 993
% 0.18/0.56 % ...of these trivial : 27
% 0.18/0.56 % ...subsumed : 346
% 0.18/0.56 % ...remaining for further processing : 620
% 0.18/0.56 % Other redundant clauses eliminated : 0
% 0.18/0.56 % Clauses deleted for lack of memory : 0
% 0.18/0.56 % Backward-subsumed : 26
% 0.18/0.56 % Backward-rewritten : 1
% 0.18/0.56 % Generated clauses : 2848
% 0.18/0.56 % ...of the previous two non-redundant : 2656
% 0.18/0.56 % ...aggressively subsumed : 0
% 0.18/0.56 % Contextual simplify-reflections : 2
% 0.18/0.56 % Paramodulations : 2848
% 0.18/0.56 % Factorizations : 0
% 0.18/0.56 % NegExts : 0
% 0.18/0.56 % Equation resolutions : 0
% 0.18/0.56 % Disequality decompositions : 0
% 0.18/0.56 % Total rewrite steps : 305
% 0.18/0.56 % ...of those cached : 174
% 0.18/0.56 % Propositional unsat checks : 0
% 0.18/0.56 % Propositional check models : 0
% 0.18/0.56 % Propositional check unsatisfiable : 0
% 0.18/0.56 % Propositional clauses : 0
% 0.18/0.56 % Propositional clauses after purity: 0
% 0.18/0.56 % Propositional unsat core size : 0
% 0.18/0.56 % Propositional preprocessing time : 0.000
% 0.18/0.56 % Propositional encoding time : 0.000
% 0.18/0.56 % Propositional solver time : 0.000
% 0.18/0.56 % Success case prop preproc time : 0.000
% 0.18/0.56 % Success case prop encoding time : 0.000
% 0.18/0.56 % Success case prop solver time : 0.000
% 0.18/0.56 % Current number of processed clauses : 554
% 0.18/0.56 % Positive orientable unit clauses : 116
% 0.18/0.56 % Positive unorientable unit clauses: 0
% 0.18/0.56 % Negative unit clauses : 5
% 0.18/0.56 % Non-unit-clauses : 433
% 0.18/0.56 % Current number of unprocessed clauses: 1749
% 0.18/0.56 % ...number of literals in the above : 3793
% 0.18/0.56 % Current number of archived formulas : 0
% 0.18/0.56 % Current number of archived clauses : 66
% 0.18/0.56 % Clause-clause subsumption calls (NU) : 15058
% 0.18/0.56 % Rec. Clause-clause subsumption calls : 13839
% 0.18/0.56 % Non-unit clause-clause subsumptions : 302
% 0.18/0.56 % Unit Clause-clause subsumption calls : 1958
% 0.18/0.56 % Rewrite failures with RHS unbound : 0
% 0.18/0.56 % BW rewrite match attempts : 106
% 0.18/0.56 % BW rewrite match successes : 1
% 0.18/0.56 % Condensation attempts : 0
% 0.18/0.56 % Condensation successes : 0
% 0.18/0.56 % Termbank termtop insertions : 50138
% 0.18/0.56 % Search garbage collected termcells : 1121
% 0.18/0.56
% 0.18/0.56 % -------------------------------------------------
% 0.18/0.56 % User time : 0.093 s
% 0.18/0.56 % System time : 0.007 s
% 0.18/0.56 % Total time : 0.100 s
% 0.18/0.56 % Maximum resident set size: 3664 pages
% 0.18/0.56
% 0.18/0.56 % -------------------------------------------------
% 0.18/0.56 % User time : 0.465 s
% 0.18/0.56 % System time : 0.036 s
% 0.18/0.56 % Total time : 0.501 s
% 0.18/0.56 % Maximum resident set size: 4608 pages
% 0.18/0.56 % E exiting
%------------------------------------------------------------------------------