%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET670+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 02:14:56 PM UTC 2026
% Result : Theorem 159.93s 23.98s
% Output : CNFRefutation 159.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 107 ( 16 unt; 0 def)
% Number of atoms : 453 ( 11 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 591 ( 245 ~; 241 |; 36 &)
% ( 10 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 254 ( 24 sgn 103 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p24,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',p24) ).
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/sandbox/benchmark/theBenchmark.p',p22) ).
fof(p28,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(p21,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(power_set(X1),set_type)
& ~ empty(power_set(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(p13,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/sandbox/benchmark/theBenchmark.p',p13) ).
fof(p5,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/sandbox/benchmark/theBenchmark.p',p5) ).
fof(p11,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( ilf_type(X1,set_type)
& relation_like(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).
fof(p10,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ilf_type(restrict(X1,X2),binary_relation_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(p19,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',p19) ).
fof(p7,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(X4,X2)
& member(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
fof(p27,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(prove_relset_1_33,conjecture,
! [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,X3))
=> ilf_type(restrict4(X1,X3,X4,X2),relation_type(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_33) ).
fof(p26,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> restrict4(X1,X2,X3,X4) = restrict(X3,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
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/sandbox/benchmark/theBenchmark.p',p20) ).
fof(p18,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( relation_like(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X1)
=> ? [X3] :
( ? [X4] :
( X2 = ordered_pair(X3,X4)
& ilf_type(X4,set_type) )
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).
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,binary_relation_type)
=> ( member(ordered_pair(X2,X3),restrict(X4,X1))
<=> ( member(ordered_pair(X2,X3),X4)
& member(X2,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(p4,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)
=> ( member(ordered_pair(X1,X2),cross_product(X3,X4))
<=> ( member(X2,X4)
& member(X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(c_0_17,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[p24]) ).
fof(c_0_18,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_19,plain,
! [X69,X70] :
( ( ~ ilf_type(X69,set_type)
| empty(X69)
| member(esk11_1(X69),X69) )
& ( ~ ilf_type(X69,set_type)
| empty(X69)
| ilf_type(esk11_1(X69),set_type) )
& ( ~ ilf_type(X69,set_type)
| ~ member(X70,X69)
| ~ ilf_type(X70,set_type)
| ~ empty(X69) ) ),
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_17])])])])])]) ).
fof(c_0_20,plain,
! [X81] : ilf_type(X81,set_type),
inference(variable_rename,[status(thm)],[p28]) ).
fof(c_0_21,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(power_set(X1),set_type)
& ~ empty(power_set(X1)) ) ),
inference(fof_simplification,[status(thm)],[p21]) ).
fof(c_0_22,plain,
! [X42,X43] :
( ( ~ ilf_type(X42,set_type)
| ~ ilf_type(X43,set_type)
| ilf_type(X43,subset_type(X42))
| ~ ilf_type(X43,member_type(power_set(X42))) )
& ( ~ ilf_type(X42,set_type)
| ~ ilf_type(X43,set_type)
| ilf_type(X43,member_type(power_set(X42)))
| ~ ilf_type(X43,subset_type(X42)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p13])])])])]) ).
fof(c_0_23,plain,
! [X65,X66] :
( ( ~ ilf_type(X65,set_type)
| ~ ilf_type(X66,set_type)
| empty(X66)
| ilf_type(X65,member_type(X66))
| ~ member(X65,X66) )
& ( ~ ilf_type(X65,set_type)
| ~ ilf_type(X66,set_type)
| empty(X66)
| member(X65,X66)
| ~ ilf_type(X65,member_type(X66)) ) ),
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_18])])])])]) ).
cnf(c_0_24,plain,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X64] :
( ( ~ ilf_type(X64,set_type)
| ilf_type(power_set(X64),set_type) )
& ( ~ ilf_type(X64,set_type)
| ~ empty(power_set(X64)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_27,plain,
! [X22,X23,X24,X25] :
( ( ~ ilf_type(X22,set_type)
| ~ ilf_type(X23,set_type)
| ilf_type(X25,subset_type(cross_product(X22,X23)))
| ~ ilf_type(X25,relation_type(X22,X23)) )
& ( ~ ilf_type(X22,set_type)
| ~ ilf_type(X23,set_type)
| ilf_type(X24,relation_type(X22,X23))
| ~ ilf_type(X24,subset_type(cross_product(X22,X23))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p5])])])])]) ).
cnf(c_0_28,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_22]) ).
cnf(c_0_29,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_23]) ).
cnf(c_0_30,plain,
( ~ member(X2,X1)
| ~ empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25])]) ).
fof(c_0_31,plain,
! [X40] :
( ( ~ ilf_type(X40,set_type)
| ilf_type(X40,binary_relation_type)
| ~ ilf_type(X40,set_type)
| ~ relation_like(X40) )
& ( ~ ilf_type(X40,set_type)
| ~ ilf_type(X40,binary_relation_type)
| ilf_type(X40,set_type) )
& ( ~ ilf_type(X40,set_type)
| ~ ilf_type(X40,binary_relation_type)
| relation_like(X40) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p11])])])]) ).
fof(c_0_32,plain,
! [X38,X39] :
( ilf_type(restrict(X38,X39),binary_relation_type)
| ~ ilf_type(X39,set_type)
| ~ ilf_type(X38,binary_relation_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p10])])])]) ).
fof(c_0_33,plain,
! [X57,X58,X59] :
( relation_like(X59)
| ~ ilf_type(X59,subset_type(cross_product(X57,X58)))
| ~ ilf_type(X58,set_type)
| ~ ilf_type(X57,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p19])])])]) ).
fof(c_0_34,plain,
! [X29,X30,X31,X32,X33] :
( ( ~ ilf_type(X29,set_type)
| ~ ilf_type(X30,set_type)
| ~ ilf_type(X31,set_type)
| ~ ilf_type(X32,set_type)
| ~ ilf_type(X33,relation_type(X29,X30))
| ~ member(ordered_pair(X31,X32),X33)
| member(X32,X30) )
& ( ~ ilf_type(X29,set_type)
| ~ ilf_type(X30,set_type)
| ~ ilf_type(X31,set_type)
| ~ ilf_type(X32,set_type)
| ~ ilf_type(X33,relation_type(X29,X30))
| ~ member(ordered_pair(X31,X32),X33)
| member(X31,X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p7])])])])]) ).
fof(c_0_35,plain,
! [X77,X78,X79,X80] :
( ilf_type(restrict4(X77,X78,X79,X80),relation_type(X77,X78))
| ~ ilf_type(X80,set_type)
| ~ ilf_type(X79,relation_type(X77,X78))
| ~ ilf_type(X78,set_type)
| ~ ilf_type(X77,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p27])])])]) ).
cnf(c_0_36,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2))
| empty(X2)
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X2))
| ilf_type(X1,member_type(power_set(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_38,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_39,negated_conjecture,
~ ! [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,X3))
=> ilf_type(restrict4(X1,X3,X4,X2),relation_type(X2,X3)) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_33]) ).
cnf(c_0_40,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_27]) ).
cnf(c_0_41,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_28,c_0_25]),c_0_25])]) ).
cnf(c_0_42,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_29,c_0_25]),c_0_25])]),c_0_30]) ).
cnf(c_0_43,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,binary_relation_type)
| relation_like(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ilf_type(restrict(X1,X2),binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_46,plain,
! [X73,X74,X75,X76] :
( restrict4(X73,X74,X75,X76) = restrict(X75,X76)
| ~ ilf_type(X76,set_type)
| ~ ilf_type(X75,relation_type(X73,X74))
| ~ ilf_type(X74,set_type)
| ~ ilf_type(X73,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p26])])])]) ).
cnf(c_0_47,plain,
( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| relation_like(X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_48,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,relation_type(X2,X3))
| ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_49,plain,
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X5,X2))
| ~ member(ordered_pair(X3,X1),X4)
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_50,plain,
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_51,plain,
( ~ ilf_type(X2,member_type(X1))
| member(X2,X1)
| empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_25]),c_0_25])]) ).
cnf(c_0_52,plain,
( ~ ilf_type(X1,subset_type(X2))
| ilf_type(X1,member_type(power_set(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_25]),c_0_25])]) ).
cnf(c_0_53,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_25])]) ).
fof(c_0_54,negated_conjecture,
( ~ ilf_type(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),relation_type(esk13_0,esk14_0))
& ilf_type(esk15_0,relation_type(esk12_0,esk14_0))
& ilf_type(esk14_0,set_type)
& ilf_type(esk13_0,set_type)
& ilf_type(esk12_0,set_type) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
cnf(c_0_55,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_40,c_0_25]),c_0_25])]) ).
cnf(c_0_56,plain,
( ~ member(X1,power_set(X2))
| ilf_type(X1,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_57,plain,
! [X60,X61,X62] :
( ( ~ ilf_type(X60,set_type)
| ~ ilf_type(X61,set_type)
| member(X60,power_set(X61))
| ~ member(esk9_2(X60,X61),X61) )
& ( ~ ilf_type(X60,set_type)
| ~ ilf_type(X61,set_type)
| member(X60,power_set(X61))
| member(esk9_2(X60,X61),X60) )
& ( ~ ilf_type(X60,set_type)
| ~ ilf_type(X61,set_type)
| member(X60,power_set(X61))
| ilf_type(esk9_2(X60,X61),set_type) )
& ( ~ ilf_type(X60,set_type)
| ~ ilf_type(X61,set_type)
| member(X62,X61)
| ~ member(X62,X60)
| ~ ilf_type(X62,set_type)
| ~ member(X60,power_set(X61)) ) ),
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])])])])])]) ).
cnf(c_0_58,plain,
( ~ ilf_type(X1,binary_relation_type)
| relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_25])]) ).
cnf(c_0_59,plain,
( ~ ilf_type(X1,binary_relation_type)
| ilf_type(restrict(X1,X2),binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_25])]) ).
cnf(c_0_60,plain,
( ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ilf_type(X1,binary_relation_type) ),
inference(cn,[status(thm)],[c_0_45]) ).
cnf(c_0_61,plain,
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| restrict4(X1,X2,X3,X4) = restrict(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_62,plain,
( ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_25]),c_0_25])]) ).
cnf(c_0_63,plain,
( ~ ilf_type(X1,relation_type(X2,X3))
| ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_25]),c_0_25])]) ).
cnf(c_0_64,plain,
( ~ ilf_type(X4,relation_type(X5,X2))
| ~ member(ordered_pair(X3,X1),X4)
| member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_25]),c_0_25]),c_0_25]),c_0_25])]) ).
cnf(c_0_65,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_25]),c_0_25]),c_0_25])]) ).
cnf(c_0_66,plain,
( ~ ilf_type(X1,subset_type(X2))
| member(X1,power_set(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
fof(c_0_67,plain,
! [X50,X51,X55,X56] :
( ( ~ ilf_type(X50,set_type)
| relation_like(X50)
| esk8_1(X50) != ordered_pair(X55,X56)
| ~ ilf_type(X56,set_type)
| ~ ilf_type(X55,set_type) )
& ( ~ ilf_type(X50,set_type)
| relation_like(X50)
| member(esk8_1(X50),X50) )
& ( ~ ilf_type(X50,set_type)
| relation_like(X50)
| ilf_type(esk8_1(X50),set_type) )
& ( ~ ilf_type(X50,set_type)
| ~ relation_like(X50)
| ~ ilf_type(X51,set_type)
| ~ member(X51,X50)
| X51 = ordered_pair(esk6_2(X50,X51),esk7_2(X50,X51)) )
& ( ~ ilf_type(X50,set_type)
| ~ relation_like(X50)
| ~ ilf_type(X51,set_type)
| ~ member(X51,X50)
| ilf_type(esk7_2(X50,X51),set_type) )
& ( ~ ilf_type(X50,set_type)
| ~ relation_like(X50)
| ~ ilf_type(X51,set_type)
| ~ member(X51,X50)
| ilf_type(esk6_2(X50,X51),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])])])])])]) ).
cnf(c_0_68,negated_conjecture,
~ ilf_type(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),relation_type(esk13_0,esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_69,plain,
( ~ member(X1,power_set(cross_product(X2,X3)))
| ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_70,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_71,plain,
( ~ ilf_type(X1,binary_relation_type)
| relation_like(restrict(X1,X2)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_72,plain,
( ~ relation_like(X1)
| ilf_type(X1,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_25])]) ).
cnf(c_0_73,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| restrict4(X1,X2,X3,X4) = restrict(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_25]),c_0_25]),c_0_25])]) ).
cnf(c_0_74,negated_conjecture,
ilf_type(esk15_0,relation_type(esk12_0,esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_75,plain,
( ~ ilf_type(X1,relation_type(X2,X3))
| relation_like(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_76,plain,
( ~ ilf_type(X5,relation_type(X4,X2))
| ~ member(ordered_pair(X3,X1),restrict4(X4,X2,X5,X6))
| member(X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_77,plain,
( ~ ilf_type(X1,relation_type(X2,X3))
| member(X1,power_set(cross_product(X2,X3))) ),
inference(spm,[status(thm)],[c_0_66,c_0_63]) ).
cnf(c_0_78,plain,
( ~ ilf_type(X2,set_type)
| ~ relation_like(X2)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X2)
| X1 = ordered_pair(esk6_2(X2,X1),esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_79,negated_conjecture,
~ member(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),power_set(cross_product(esk13_0,esk14_0))),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_80,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_25]),c_0_25])]) ).
cnf(c_0_81,plain,
( ~ relation_like(X1)
| relation_like(restrict(X1,X2)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,negated_conjecture,
restrict(esk15_0,X1) = restrict4(esk12_0,esk14_0,esk15_0,X1),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_75,c_0_74]) ).
fof(c_0_84,plain,
! [X14,X15,X16,X17] :
( ( ~ ilf_type(X14,set_type)
| ~ ilf_type(X15,set_type)
| ~ ilf_type(X16,set_type)
| ~ ilf_type(X17,binary_relation_type)
| member(ordered_pair(X15,X16),restrict(X17,X14))
| ~ member(ordered_pair(X15,X16),X17)
| ~ member(X15,X14) )
& ( ~ ilf_type(X14,set_type)
| ~ ilf_type(X15,set_type)
| ~ ilf_type(X16,set_type)
| ~ ilf_type(X17,binary_relation_type)
| ~ member(ordered_pair(X15,X16),restrict(X17,X14))
| member(ordered_pair(X15,X16),X17) )
& ( ~ ilf_type(X14,set_type)
| ~ ilf_type(X15,set_type)
| ~ ilf_type(X16,set_type)
| ~ ilf_type(X17,binary_relation_type)
| ~ member(ordered_pair(X15,X16),restrict(X17,X14))
| member(X15,X14) ) ),
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_85,plain,
! [X18,X19,X20,X21] :
( ( ~ ilf_type(X18,set_type)
| ~ ilf_type(X19,set_type)
| ~ ilf_type(X20,set_type)
| ~ ilf_type(X21,set_type)
| member(ordered_pair(X18,X19),cross_product(X20,X21))
| ~ member(X19,X21)
| ~ member(X18,X20) )
& ( ~ ilf_type(X18,set_type)
| ~ ilf_type(X19,set_type)
| ~ ilf_type(X20,set_type)
| ~ ilf_type(X21,set_type)
| ~ member(ordered_pair(X18,X19),cross_product(X20,X21))
| member(X19,X21) )
& ( ~ ilf_type(X18,set_type)
| ~ ilf_type(X19,set_type)
| ~ ilf_type(X20,set_type)
| ~ ilf_type(X21,set_type)
| ~ member(ordered_pair(X18,X19),cross_product(X20,X21))
| member(X18,X20) ) ),
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_86,plain,
( ~ member(X5,power_set(cross_product(X4,X2)))
| ~ member(ordered_pair(X3,X1),restrict4(X4,X2,X5,X6))
| member(X1,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_69]) ).
cnf(c_0_87,negated_conjecture,
member(esk15_0,power_set(cross_product(esk12_0,esk14_0))),
inference(spm,[status(thm)],[c_0_77,c_0_74]) ).
cnf(c_0_88,plain,
( ~ member(X2,X1)
| ~ relation_like(X1)
| ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)) = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_25]),c_0_25])]) ).
cnf(c_0_89,negated_conjecture,
member(esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0)),restrict4(esk12_0,esk14_0,esk15_0,esk13_0)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
relation_like(restrict4(esk12_0,esk14_0,esk15_0,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_91,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X1,X3),restrict(X4,X2))
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_92,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X4,set_type)
| ~ member(X3,X4)
| ~ member(X1,X2)
| member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_93,negated_conjecture,
( ~ member(ordered_pair(X2,X1),restrict4(esk12_0,esk14_0,esk15_0,X3))
| member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_94,negated_conjecture,
ordered_pair(esk6_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0))),esk7_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0)))) = esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_95,plain,
( ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X1,X3),restrict(X4,X2))
| member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_25]),c_0_25]),c_0_25])]) ).
cnf(c_0_96,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk9_2(X1,X2),X2)
| member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_97,plain,
( ~ member(X1,X3)
| ~ member(X2,X4)
| member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_25]),c_0_25]),c_0_25]),c_0_25])]) ).
cnf(c_0_98,negated_conjecture,
( ~ member(esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0)),restrict4(esk12_0,esk14_0,esk15_0,X1))
| member(esk7_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0))),esk14_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,plain,
( ~ member(ordered_pair(X1,X4),restrict(X3,X2))
| ~ relation_like(X3)
| member(X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_72]) ).
cnf(c_0_100,plain,
( ~ member(esk9_2(X1,X2),X2)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_25]),c_0_25])]) ).
cnf(c_0_101,negated_conjecture,
( ~ member(esk6_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0))),X1)
| ~ member(esk7_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0))),X2)
| member(esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0)),cross_product(X1,X2)) ),
inference(spm,[status(thm)],[c_0_97,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
member(esk7_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0))),esk14_0),
inference(spm,[status(thm)],[c_0_98,c_0_89]) ).
cnf(c_0_103,negated_conjecture,
( ~ member(ordered_pair(X1,X3),restrict4(esk12_0,esk14_0,esk15_0,X2))
| member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_82]),c_0_83])]) ).
cnf(c_0_104,negated_conjecture,
~ member(esk6_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0))),esk13_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]),c_0_79]) ).
cnf(c_0_105,negated_conjecture,
( ~ member(esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0)),restrict4(esk12_0,esk14_0,esk15_0,X1))
| member(esk6_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),esk9_2(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),cross_product(esk13_0,esk14_0))),X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_94]) ).
cnf(c_0_106,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET670+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.58 % Computer : n002.cluster.edu
% 0.13/0.58 % Model : x86_64 x86_64
% 0.13/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.58 % Memory : 8046.5625MB
% 0.13/0.58 % OS : Linux 6.8.0-71-generic
% 0.13/0.58 % CPULimit : 300
% 0.13/0.58 % WCLimit : 300
% 0.13/0.58 % DateTime : Mon Sep 21 05:34:18 UTC 2026
% 0.13/0.59 % CPUTime :
% 0.13/0.59 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.63 Running first-order theorem proving
% 0.17/0.63 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 159.93/23.98 % Version: 3.5.1
% 159.93/23.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 159.93/23.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.93/23.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 159.93/23.98 % Starting new_bool_3 with 300s (1) cores
% 159.93/23.98 % Starting new_bool_1 with 300s (1) cores
% 159.93/23.98 % Starting sh5l with 300s (1) cores
% 159.93/23.98 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2530035 completed with status 0
% 159.93/23.98 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 159.93/23.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 159.93/23.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.93/23.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 159.93/23.98 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 159.93/23.98 % No SInE strategy applied
% 159.93/23.98 % Search class: FGHSF-FFMS31-SFFFFFNN
% 159.93/23.98 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 159.93/23.98 % Starting SubtermCWHack with 136s (1) cores
% 159.93/23.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 159.93/23.98 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 159.93/23.98 % Starting new_bool_3 with 189s (1) cores
% 159.93/23.98 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 159.93/23.98 % 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 2530045 completed with status 0
% 159.93/23.98 % Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 159.93/23.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 159.93/23.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.93/23.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 159.93/23.98 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 159.93/23.98 % No SInE strategy applied
% 159.93/23.98 % Search class: FGHSF-FFMS31-SFFFFFNN
% 159.93/23.98 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 159.93/23.98 % Starting SubtermCWHack with 136s (1) cores
% 159.93/23.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 159.93/23.98 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 159.93/23.98 % Starting new_bool_3 with 189s (1) cores
% 159.93/23.98 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 159.93/23.98 % Preprocessing time : 0.002 s
% 159.93/23.98 % Presaturation interreduction done
% 159.93/23.98
% 159.93/23.98 % Proof found!
% 159.93/23.98 % SZS status Theorem
% 159.93/23.98 % SZS output start CNFRefutation
% See solution above
% 159.93/23.98 % Parsed axioms : 29
% 159.93/23.98 % Removed by relevancy pruning/SinE : 0
% 159.93/23.98 % Initial clauses : 58
% 159.93/23.98 % Removed in clause preprocessing : 3
% 159.93/23.98 % Initial clauses in saturation : 55
% 159.93/23.98 % Processed clauses : 21632
% 159.93/23.98 % ...of these trivial : 2478
% 159.93/23.98 % ...subsumed : 9640
% 159.93/23.98 % ...remaining for further processing : 9514
% 159.93/23.98 % Other redundant clauses eliminated : 0
% 159.93/23.98 % Clauses deleted for lack of memory : 0
% 159.93/23.98 % Backward-subsumed : 146
% 159.93/23.98 % Backward-rewritten : 91
% 159.93/23.98 % Generated clauses : 1261021
% 159.93/23.98 % ...of the previous two non-redundant : 1112058
% 159.93/23.98 % ...aggressively subsumed : 0
% 159.93/23.98 % Contextual simplify-reflections : 3
% 159.93/23.98 % Paramodulations : 1260963
% 159.93/23.98 % Factorizations : 58
% 159.93/23.98 % NegExts : 0
% 159.93/23.98 % Equation resolutions : 0
% 159.93/23.98 % Disequality decompositions : 0
% 159.93/23.98 % Total rewrite steps : 160248
% 159.93/23.98 % ...of those cached : 157868
% 159.93/23.98 % Propositional unsat checks : 0
% 159.93/23.98 % Propositional check models : 0
% 159.93/23.98 % Propositional check unsatisfiable : 0
% 159.93/23.98 % Propositional clauses : 0
% 159.93/23.98 % Propositional clauses after purity: 0
% 159.93/23.98 % Propositional unsat core size : 0
% 159.93/23.98 % Propositional preprocessing time : 0.000
% 159.93/23.98 % Propositional encoding time : 0.000
% 159.93/23.98 % Propositional solver time : 0.000
% 159.93/23.98 % Success case prop preproc time : 0.000
% 159.93/23.98 % Success case prop encoding time : 0.000
% 159.93/23.98 % Success case prop solver time : 0.000
% 159.93/23.98 % Current number of processed clauses : 9235
% 159.93/23.98 % Positive orientable unit clauses : 924
% 159.93/23.98 % Positive unorientable unit clauses: 8
% 159.93/23.98 % Negative unit clauses : 388
% 159.93/23.98 % Non-unit-clauses : 7915
% 159.93/23.98 % Current number of unprocessed clauses: 1089333
% 159.93/23.98 % ...number of literals in the above : 3289203
% 159.93/23.98 % Current number of archived formulas : 0
% 159.93/23.98 % Current number of archived clauses : 279
% 159.93/23.98 % Clause-clause subsumption calls (NU) : 6467330
% 159.93/23.98 % Rec. Clause-clause subsumption calls : 4458264
% 159.93/23.98 % Non-unit clause-clause subsumptions : 7574
% 159.93/23.98 % Unit Clause-clause subsumption calls : 353942
% 159.93/23.98 % Rewrite failures with RHS unbound : 0
% 159.93/23.98 % BW rewrite match attempts : 11345
% 159.93/23.98 % BW rewrite match successes : 94
% 159.93/23.98 % Condensation attempts : 0
% 159.93/23.98 % Condensation successes : 0
% 159.93/23.98 % Termbank termtop insertions : 28299397
% 159.93/23.98 % Search garbage collected termcells : 1299
% 159.93/23.98
% 159.93/23.98 % -------------------------------------------------
% 159.93/23.98 % User time : 20.933 s
% 159.93/23.98 % System time : 0.714 s
% 159.93/23.98 % Total time : 21.647 s
% 159.93/23.98 % Maximum resident set size: 3672 pages
% 159.93/23.98
% 159.93/23.98 % -------------------------------------------------
% 159.93/23.98 % User time : 109.231 s
% 159.93/23.98 % System time : 4.099 s
% 159.93/23.98 % Total time : 113.330 s
% 159.93/23.98 % Maximum resident set size: 4864 pages
% 159.93/23.98 % E exiting
%------------------------------------------------------------------------------