%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET664+3 : TPTP v9.2.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 5 05:08:16 PM UTC 2026
% Result : Theorem 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 71 ( 19 unt; 0 def)
% Number of atoms : 251 ( 20 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 296 ( 116 ~; 115 |; 21 &)
% ( 7 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 124 ( 13 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p21,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',p21) ).
fof(p24,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',p24) ).
fof(p33,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
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/sandbox/benchmark/theBenchmark.p',p15) ).
fof(p22,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',p22) ).
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(p3,axiom,
! [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',p3) ).
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(p28,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',p28) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X1,empty_set)
=> X1 = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( ( domain_of(X1) = empty_set
| range_of(X1) = empty_set )
=> X1 = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(prove_relset_1_27,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( ilf_type(X3,relation_type(X2,empty_set))
=> X3 = empty_set ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_27) ).
fof(c_0_12,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[p21]) ).
fof(c_0_13,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)],[p24]) ).
fof(c_0_14,plain,
! [X114,X115] :
( ( ~ empty(X114)
| ~ ilf_type(X115,set_type)
| ~ member(X115,X114)
| ~ ilf_type(X114,set_type) )
& ( ilf_type(esk7_1(X114),set_type)
| empty(X114)
| ~ ilf_type(X114,set_type) )
& ( member(esk7_1(X114),X114)
| empty(X114)
| ~ ilf_type(X114,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_15,plain,
! [X149] : ilf_type(X149,set_type),
inference(variable_rename,[status(thm)],[p33]) ).
fof(c_0_16,plain,
! [X102,X103] :
( ( ~ ilf_type(X103,subset_type(X102))
| ilf_type(X103,member_type(power_set(X102)))
| ~ ilf_type(X103,set_type)
| ~ ilf_type(X102,set_type) )
& ( ~ ilf_type(X103,member_type(power_set(X102)))
| ilf_type(X103,subset_type(X102))
| ~ ilf_type(X103,set_type)
| ~ ilf_type(X102,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])])]) ).
fof(c_0_17,plain,
! [X122,X123] :
( ( ~ ilf_type(X122,member_type(X123))
| member(X122,X123)
| empty(X123)
| ~ ilf_type(X123,set_type)
| ~ ilf_type(X122,set_type) )
& ( ~ member(X122,X123)
| ilf_type(X122,member_type(X123))
| empty(X123)
| ~ ilf_type(X123,set_type)
| ~ ilf_type(X122,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_18,plain,
( ~ empty(X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X117,X118,X119] :
( ( ~ member(X117,power_set(X118))
| ~ ilf_type(X119,set_type)
| ~ member(X119,X117)
| member(X119,X118)
| ~ ilf_type(X118,set_type)
| ~ ilf_type(X117,set_type) )
& ( ilf_type(esk8_2(X117,X118),set_type)
| member(X117,power_set(X118))
| ~ ilf_type(X118,set_type)
| ~ ilf_type(X117,set_type) )
& ( member(esk8_2(X117,X118),X117)
| member(X117,power_set(X118))
| ~ ilf_type(X118,set_type)
| ~ ilf_type(X117,set_type) )
& ( ~ member(esk8_2(X117,X118),X118)
| member(X117,power_set(X118))
| ~ ilf_type(X118,set_type)
| ~ ilf_type(X117,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p22])])])])]) ).
cnf(c_0_21,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,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_17]) ).
cnf(c_0_23,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19])]) ).
cnf(c_0_24,plain,
( member(X1,power_set(X2))
| ~ member(esk8_2(X1,X2),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( member(esk8_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_20]) ).
fof(c_0_26,plain,
! [X81,X82,X83,X84] :
( ( ~ ilf_type(X83,subset_type(cross_product(X81,X82)))
| ilf_type(X83,relation_type(X81,X82))
| ~ ilf_type(X82,set_type)
| ~ ilf_type(X81,set_type) )
& ( ~ ilf_type(X84,relation_type(X81,X82))
| ilf_type(X84,subset_type(cross_product(X81,X82)))
| ~ ilf_type(X82,set_type)
| ~ ilf_type(X81,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p6])])])]) ).
cnf(c_0_27,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_21,c_0_19]),c_0_19])]) ).
cnf(c_0_28,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_22,c_0_19]),c_0_19])]),c_0_23]) ).
cnf(c_0_29,plain,
( member(X1,power_set(X2))
| ~ member(esk8_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_19]),c_0_19])]) ).
cnf(c_0_30,plain,
( member(esk8_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_19]),c_0_19])]) ).
fof(c_0_31,plain,
! [X77,X78,X79] :
( ( subset(domain_of(X79),X77)
| ~ ilf_type(X79,relation_type(X77,X78))
| ~ ilf_type(X78,set_type)
| ~ ilf_type(X77,set_type) )
& ( subset(range_of(X79),X78)
| ~ ilf_type(X79,relation_type(X77,X78))
| ~ ilf_type(X78,set_type)
| ~ ilf_type(X77,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])]) ).
cnf(c_0_32,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( ilf_type(X1,subset_type(X2))
| ~ member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
member(X1,power_set(X1)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_35,plain,
! [X100] :
( ( relation_like(X100)
| ~ ilf_type(X100,binary_relation_type)
| ~ ilf_type(X100,set_type) )
& ( ilf_type(X100,set_type)
| ~ ilf_type(X100,binary_relation_type)
| ~ ilf_type(X100,set_type) )
& ( ~ relation_like(X100)
| ~ ilf_type(X100,set_type)
| ilf_type(X100,binary_relation_type)
| ~ ilf_type(X100,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p13])])]) ).
fof(c_0_36,plain,
! [X134,X135,X136] :
( ~ ilf_type(X134,set_type)
| ~ ilf_type(X135,set_type)
| ~ ilf_type(X136,subset_type(cross_product(X134,X135)))
| relation_like(X136) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p28])])]) ).
fof(c_0_37,plain,
! [X75] :
( ~ ilf_type(X75,set_type)
| ~ subset(X75,empty_set)
| X75 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])]) ).
cnf(c_0_38,plain,
( subset(range_of(X1),X2)
| ~ ilf_type(X1,relation_type(X3,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,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_32,c_0_19]),c_0_19])]) ).
cnf(c_0_40,plain,
ilf_type(X1,subset_type(X1)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,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_35]) ).
cnf(c_0_42,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_36]) ).
cnf(c_0_43,plain,
( X1 = empty_set
| ~ ilf_type(X1,set_type)
| ~ subset(X1,empty_set) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( subset(range_of(X1),X2)
| ~ ilf_type(X1,relation_type(X3,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_19]),c_0_19])]) ).
cnf(c_0_45,plain,
ilf_type(cross_product(X1,X2),relation_type(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_41]) ).
cnf(c_0_47,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_42,c_0_19]),c_0_19])]) ).
fof(c_0_48,plain,
! [X76] :
( ( domain_of(X76) != empty_set
| X76 = empty_set
| ~ ilf_type(X76,binary_relation_type) )
& ( range_of(X76) != empty_set
| X76 = empty_set
| ~ ilf_type(X76,binary_relation_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])]) ).
cnf(c_0_49,plain,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_19])]) ).
cnf(c_0_50,plain,
subset(range_of(cross_product(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_19])]) ).
cnf(c_0_52,plain,
relation_like(cross_product(X1,X2)),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
fof(c_0_53,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( ilf_type(X3,relation_type(X2,empty_set))
=> X3 = empty_set ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_27]) ).
cnf(c_0_54,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_26]) ).
cnf(c_0_55,plain,
( X1 = empty_set
| range_of(X1) != empty_set
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,plain,
range_of(cross_product(X1,empty_set)) = empty_set,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,plain,
ilf_type(cross_product(X1,X2),binary_relation_type),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_58,negated_conjecture,
( ilf_type(esk13_0,set_type)
& ilf_type(esk14_0,set_type)
& ilf_type(esk15_0,relation_type(esk14_0,esk13_0))
& ilf_type(esk15_0,relation_type(esk14_0,empty_set))
& esk15_0 != empty_set ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_59,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_54,c_0_19]),c_0_19])]) ).
cnf(c_0_60,plain,
cross_product(X1,empty_set) = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_61,negated_conjecture,
ilf_type(esk15_0,relation_type(esk14_0,empty_set)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_62,plain,
( ilf_type(X1,subset_type(empty_set))
| ~ ilf_type(X1,relation_type(X2,empty_set)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
subset(range_of(esk15_0),empty_set),
inference(spm,[status(thm)],[c_0_44,c_0_61]) ).
cnf(c_0_64,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(empty_set)) ),
inference(spm,[status(thm)],[c_0_47,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
ilf_type(esk15_0,subset_type(empty_set)),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
range_of(esk15_0) = empty_set,
inference(spm,[status(thm)],[c_0_49,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
esk15_0 != empty_set,
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,negated_conjecture,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
~ ilf_type(esk15_0,binary_relation_type),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_66]),c_0_67]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_68]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET664+3 : TPTP v9.2.1. Released v2.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 5 02:30:36 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Theorem for theBenchmark.p
% 1.30/1.73 % SZS output start CNFRefutation
% See solution above
% 1.30/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------