TSTP Solution File: SEU200+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU200+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:23:17 EDT 2023
% Result : Theorem 0.20s 0.71s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 100
% Syntax : Number of formulae : 113 ( 4 unt; 96 typ; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 43 ( 19 ~; 14 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 184 ( 89 >; 95 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 88 ( 88 usr; 7 con; 0-5 aty)
% Number of variables : 22 ( 2 sgn; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_24,type,
empty: $i > $o ).
tff(decl_25,type,
relation: $i > $o ).
tff(decl_26,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_27,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_28,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_29,type,
identity_relation: $i > $i ).
tff(decl_30,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_31,type,
subset: ( $i * $i ) > $o ).
tff(decl_32,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_33,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_34,type,
empty_set: $i ).
tff(decl_35,type,
set_meet: $i > $i ).
tff(decl_36,type,
singleton: $i > $i ).
tff(decl_37,type,
powerset: $i > $i ).
tff(decl_38,type,
element: ( $i * $i ) > $o ).
tff(decl_39,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_40,type,
relation_dom: $i > $i ).
tff(decl_41,type,
cast_to_subset: $i > $i ).
tff(decl_42,type,
union: $i > $i ).
tff(decl_43,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_44,type,
relation_rng: $i > $i ).
tff(decl_45,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_46,type,
relation_field: $i > $i ).
tff(decl_47,type,
relation_inverse: $i > $i ).
tff(decl_48,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_49,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_50,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_51,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_52,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_53,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_55,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk9_1: $i > $i ).
tff(decl_64,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk14_1: $i > $i ).
tff(decl_69,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
esk21_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk41_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk46_1: $i > $i ).
tff(decl_101,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk48_0: $i ).
tff(decl_103,type,
esk49_1: $i > $i ).
tff(decl_104,type,
esk50_0: $i ).
tff(decl_105,type,
esk51_0: $i ).
tff(decl_106,type,
esk52_1: $i > $i ).
tff(decl_107,type,
esk53_0: $i ).
tff(decl_108,type,
esk54_0: $i ).
tff(decl_109,type,
esk55_0: $i ).
tff(decl_110,type,
esk56_1: $i > $i ).
tff(decl_111,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk60_1: $i > $i ).
tff(decl_115,type,
esk61_1: $i > $i ).
tff(decl_116,type,
esk62_1: $i > $i ).
tff(decl_117,type,
esk63_2: ( $i * $i ) > $i ).
fof(t118_relat_1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).
fof(t25_relat_1,lemma,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
=> ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(t117_relat_1,lemma,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng_restriction(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
inference(assume_negation,[status(cth)],[t118_relat_1]) ).
fof(c_0_5,negated_conjecture,
( relation(esk55_0)
& ~ subset(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),relation_rng(esk55_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,lemma,
! [X374,X375] :
( ( subset(relation_dom(X374),relation_dom(X375))
| ~ subset(X374,X375)
| ~ relation(X375)
| ~ relation(X374) )
& ( subset(relation_rng(X374),relation_rng(X375))
| ~ subset(X374,X375)
| ~ relation(X375)
| ~ relation(X374) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_relat_1])])])]) ).
cnf(c_0_7,negated_conjecture,
~ subset(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),relation_rng(esk55_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,lemma,
( subset(relation_rng(X1),relation_rng(X2))
| ~ subset(X1,X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
relation(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,lemma,
! [X340,X341] :
( ~ relation(X341)
| subset(relation_rng_restriction(X340,X341),X341) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t117_relat_1])]) ).
cnf(c_0_11,negated_conjecture,
( ~ subset(relation_rng_restriction(esk54_0,esk55_0),esk55_0)
| ~ relation(relation_rng_restriction(esk54_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,lemma,
( subset(relation_rng_restriction(X2,X1),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X245,X246] :
( ~ relation(X246)
| relation(relation_rng_restriction(X245,X246)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_14,lemma,
~ relation(relation_rng_restriction(esk54_0,esk55_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9])]) ).
cnf(c_0_15,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU200+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34 % Computer : n026.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 24 01:51:46 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.71 % Version : CSE_E---1.5
% 0.20/0.71 % Problem : theBenchmark.p
% 0.20/0.71 % Proof found
% 0.20/0.71 % SZS status Theorem for theBenchmark.p
% 0.20/0.71 % SZS output start Proof
% See solution above
% 0.20/0.71 % Total time : 0.133000 s
% 0.20/0.71 % SZS output end Proof
% 0.20/0.71 % Total time : 0.137000 s
%------------------------------------------------------------------------------