TSTP Solution File: SET669+3 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 : Thu Aug 31 14:35:08 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 44
% Syntax : Number of formulae : 96 ( 13 unt; 33 typ; 0 def)
% Number of atoms : 255 ( 15 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 321 ( 129 ~; 127 |; 22 &)
% ( 5 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 27 >; 17 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 6 con; 0-3 aty)
% Number of variables : 123 ( 2 sgn; 57 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
set_type: $i ).
tff(decl_23,type,
ilf_type: ( $i * $i ) > $o ).
tff(decl_24,type,
subset: ( $i * $i ) > $o ).
tff(decl_25,type,
relation_type: ( $i * $i ) > $i ).
tff(decl_26,type,
identity_relation_of: $i > $i ).
tff(decl_27,type,
domain: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
range: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_30,type,
member: ( $i * $i ) > $o ).
tff(decl_31,type,
binary_relation_type: $i ).
tff(decl_32,type,
cross_product: ( $i * $i ) > $i ).
tff(decl_33,type,
subset_type: $i > $i ).
tff(decl_34,type,
domain_of: $i > $i ).
tff(decl_35,type,
range_of: $i > $i ).
tff(decl_36,type,
relation_like: $i > $o ).
tff(decl_37,type,
power_set: $i > $i ).
tff(decl_38,type,
member_type: $i > $i ).
tff(decl_39,type,
empty: $i > $o ).
tff(decl_40,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk5_0: $i ).
tff(decl_45,type,
esk6_1: $i > $i ).
tff(decl_46,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk8_1: $i > $i ).
tff(decl_48,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk11_1: $i > $i ).
tff(decl_51,type,
esk12_1: $i > $i ).
tff(decl_52,type,
esk13_0: $i ).
tff(decl_53,type,
esk14_0: $i ).
tff(decl_54,type,
esk15_0: $i ).
fof(p22,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',p22) ).
fof(p21,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
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(p32,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32) ).
fof(p30,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> range(X1,X2,X3) = range_of(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).
fof(prove_relset_1_32,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X1,X2,X3))
& X2 = range(X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_32) ).
fof(p16,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',p16) ).
fof(p31,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(range(X1,X2,X3),subset_type(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
fof(p2,axiom,
! [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,X2))
=> ( subset(identity_relation_of(X3),X4)
=> ( subset(X3,domain(X1,X2,X4))
& subset(X3,range(X1,X2,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(p7,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',p7) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(c_0_11,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)],[p22]) ).
fof(c_0_12,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
inference(fof_simplification,[status(thm)],[p21]) ).
fof(c_0_13,plain,
! [X48,X49,X50] :
( ( ~ member(X48,power_set(X49))
| ~ ilf_type(X50,set_type)
| ~ member(X50,X48)
| member(X50,X49)
| ~ ilf_type(X49,set_type)
| ~ ilf_type(X48,set_type) )
& ( ilf_type(esk7_2(X48,X49),set_type)
| member(X48,power_set(X49))
| ~ ilf_type(X49,set_type)
| ~ ilf_type(X48,set_type) )
& ( member(esk7_2(X48,X49),X48)
| member(X48,power_set(X49))
| ~ ilf_type(X49,set_type)
| ~ ilf_type(X48,set_type) )
& ( ~ member(esk7_2(X48,X49),X49)
| member(X48,power_set(X49))
| ~ ilf_type(X49,set_type)
| ~ ilf_type(X48,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)],[p20])])])])]) ).
fof(c_0_14,plain,
! [X83] : ilf_type(X83,set_type),
inference(variable_rename,[status(thm)],[p32]) ).
fof(c_0_15,plain,
! [X53,X54] :
( ( ~ ilf_type(X53,member_type(X54))
| member(X53,X54)
| empty(X54)
| ~ ilf_type(X54,set_type)
| ~ ilf_type(X53,set_type) )
& ( ~ member(X53,X54)
| ilf_type(X53,member_type(X54))
| empty(X54)
| ~ ilf_type(X54,set_type)
| ~ ilf_type(X53,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_16,plain,
! [X52] :
( ( ~ empty(power_set(X52))
| ~ ilf_type(X52,set_type) )
& ( ilf_type(power_set(X52),set_type)
| ~ ilf_type(X52,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X77,X78,X79] :
( ~ ilf_type(X77,set_type)
| ~ ilf_type(X78,set_type)
| ~ ilf_type(X79,relation_type(X77,X78))
| range(X77,X78,X79) = range_of(X79) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p30])])]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X1,X2,X3))
& X2 = range(X1,X2,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_32]) ).
cnf(c_0_19,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_13]) ).
cnf(c_0_20,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( member(X1,X2)
| empty(X2)
| ~ ilf_type(X1,member_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X42,X43] :
( ( ~ ilf_type(X43,subset_type(X42))
| ilf_type(X43,member_type(power_set(X42)))
| ~ ilf_type(X43,set_type)
| ~ ilf_type(X42,set_type) )
& ( ~ ilf_type(X43,member_type(power_set(X42)))
| ilf_type(X43,subset_type(X42))
| ~ ilf_type(X43,set_type)
| ~ ilf_type(X42,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p16])])])]) ).
fof(c_0_24,plain,
! [X80,X81,X82] :
( ~ ilf_type(X80,set_type)
| ~ ilf_type(X81,set_type)
| ~ ilf_type(X82,relation_type(X80,X81))
| ilf_type(range(X80,X81,X82),subset_type(X81)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p31])])]) ).
cnf(c_0_25,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,negated_conjecture,
( ilf_type(esk13_0,set_type)
& ilf_type(esk14_0,set_type)
& ilf_type(esk15_0,relation_type(esk13_0,esk14_0))
& subset(identity_relation_of(esk14_0),esk15_0)
& ( ~ subset(esk14_0,domain(esk13_0,esk14_0,esk15_0))
| esk14_0 != range(esk13_0,esk14_0,esk15_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_27,plain,
! [X7,X8,X9,X10] :
( ( subset(X9,domain(X7,X8,X10))
| ~ subset(identity_relation_of(X9),X10)
| ~ ilf_type(X10,relation_type(X7,X8))
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type) )
& ( subset(X9,range(X7,X8,X10))
| ~ subset(identity_relation_of(X9),X10)
| ~ ilf_type(X10,relation_type(X7,X8))
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])]) ).
cnf(c_0_28,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_19,c_0_20]),c_0_20]),c_0_20])]) ).
cnf(c_0_29,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X2,member_type(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_20]),c_0_20])]) ).
cnf(c_0_30,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_20])]) ).
cnf(c_0_31,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X1,subset_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_20]),c_0_20])]) ).
cnf(c_0_34,negated_conjecture,
ilf_type(esk15_0,relation_type(esk13_0,esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( subset(X1,range(X2,X3,X4))
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( subset(X1,domain(X2,X3,X4))
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,member_type(power_set(X2))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_38,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_31,c_0_20]),c_0_20])]) ).
cnf(c_0_39,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_20]),c_0_20])]) ).
cnf(c_0_40,negated_conjecture,
range(esk13_0,esk14_0,esk15_0) = range_of(esk15_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_41,plain,
! [X22,X23,X24] :
( ( ~ subset(X22,X23)
| ~ ilf_type(X24,set_type)
| ~ member(X24,X22)
| member(X24,X23)
| ~ ilf_type(X23,set_type)
| ~ ilf_type(X22,set_type) )
& ( ilf_type(esk2_2(X22,X23),set_type)
| subset(X22,X23)
| ~ ilf_type(X23,set_type)
| ~ ilf_type(X22,set_type) )
& ( member(esk2_2(X22,X23),X22)
| subset(X22,X23)
| ~ ilf_type(X23,set_type)
| ~ ilf_type(X22,set_type) )
& ( ~ member(esk2_2(X22,X23),X23)
| subset(X22,X23)
| ~ ilf_type(X23,set_type)
| ~ ilf_type(X22,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)],[p7])])])])]) ).
fof(c_0_42,plain,
! [X5,X6] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ subset(X5,X6)
| ~ subset(X6,X5)
| X5 = X6 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).
cnf(c_0_43,plain,
( subset(X1,range(X2,X3,X4))
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_20]),c_0_20]),c_0_20])]) ).
cnf(c_0_44,negated_conjecture,
( ~ subset(esk14_0,domain(esk13_0,esk14_0,esk15_0))
| esk14_0 != range(esk13_0,esk14_0,esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,plain,
( subset(X1,domain(X2,X3,X4))
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_20]),c_0_20]),c_0_20])]) ).
cnf(c_0_46,negated_conjecture,
subset(identity_relation_of(esk14_0),esk15_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,negated_conjecture,
ilf_type(range_of(esk15_0),subset_type(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34])]) ).
cnf(c_0_49,plain,
( member(esk2_2(X1,X2),X1)
| subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( X1 = X2
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( subset(X1,range_of(esk15_0))
| ~ subset(identity_relation_of(X1),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_34])]) ).
cnf(c_0_52,negated_conjecture,
range(esk13_0,esk14_0,esk15_0) != esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_34])]) ).
cnf(c_0_53,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,negated_conjecture,
( member(X1,esk14_0)
| ~ member(X1,range_of(esk15_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( member(esk2_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_20]),c_0_20])]) ).
cnf(c_0_56,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_20]),c_0_20])]) ).
cnf(c_0_57,negated_conjecture,
subset(esk14_0,range_of(esk15_0)),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
cnf(c_0_58,negated_conjecture,
range_of(esk15_0) != esk14_0,
inference(rw,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_59,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_20]),c_0_20])]) ).
cnf(c_0_60,negated_conjecture,
( member(esk2_2(range_of(esk15_0),X1),esk14_0)
| subset(range_of(esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
~ subset(range_of(esk15_0),esk14_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.34 % Computer : n028.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Sat Aug 26 12:25:37 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.64 % Version : CSE_E---1.5
% 0.20/0.64 % Problem : theBenchmark.p
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark.p
% 0.20/0.64 % SZS output start Proof
% See solution above
% 0.20/0.64 % Total time : 0.049000 s
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time : 0.052000 s
%------------------------------------------------------------------------------