TSTP Solution File: SEU196+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 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 Aug 22 10:57:58 EDT 2023
% Result : Theorem 17.27s 5.84s
% Output : CNFRefutation 17.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 119
% Syntax : Number of formulae : 132 ( 8 unt; 115 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 8 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 229 ( 108 >; 121 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 107 ( 107 usr; 7 con; 0-5 aty)
% Number of variables : 14 (; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > proper_subset > in > element > disjoint > are_equipotent > relation > empty > subset_difference > unordered_pair > union_of_subsets > subset_complement > set_union2 > set_intersection2 > set_difference > relation_dom_restriction > relation_composition > ordered_pair > meet_of_subsets > complements_of_subsets > cartesian_product2 > #nlpp > union > singleton > set_meet > relation_rng > relation_inverse > relation_field > relation_dom > powerset > identity_relation > cast_to_subset > empty_set > #skF_62 > #skF_33 > #skF_9 > #skF_76 > #skF_32 > #skF_26 > #skF_49 > #skF_37 > #skF_35 > #skF_11 > #skF_64 > #skF_75 > #skF_38 > #skF_22 > #skF_41 > #skF_67 > #skF_31 > #skF_34 > #skF_57 > #skF_56 > #skF_18 > #skF_63 > #skF_6 > #skF_44 > #skF_27 > #skF_69 > #skF_17 > #skF_47 > #skF_20 > #skF_73 > #skF_79 > #skF_45 > #skF_80 > #skF_12 > #skF_3 > #skF_13 > #skF_39 > #skF_68 > #skF_29 > #skF_14 > #skF_81 > #skF_30 > #skF_48 > #skF_19 > #skF_71 > #skF_72 > #skF_74 > #skF_5 > #skF_82 > #skF_10 > #skF_66 > #skF_54 > #skF_42 > #skF_51 > #skF_36 > #skF_43 > #skF_7 > #skF_60 > #skF_24 > #skF_23 > #skF_83 > #skF_50 > #skF_78 > #skF_46 > #skF_52 > #skF_61 > #skF_59 > #skF_55 > #skF_2 > #skF_77 > #skF_70 > #skF_40 > #skF_8 > #skF_25 > #skF_1 > #skF_16 > #skF_21 > #skF_58 > #skF_28 > #skF_15 > #skF_65 > #skF_4 > #skF_53
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_62',type,
'#skF_62': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i ) > $i ).
tff(are_equipotent,type,
are_equipotent: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_76',type,
'#skF_76': ( $i * $i ) > $i ).
tff(subset_difference,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i * $i ) > $i ).
tff(complements_of_subsets,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(relation_field,type,
relation_field: $i > $i ).
tff('#skF_64',type,
'#skF_64': ( $i * $i * $i ) > $i ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_75',type,
'#skF_75': ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i ) > $i ).
tff(cast_to_subset,type,
cast_to_subset: $i > $i ).
tff(union,type,
union: $i > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_67',type,
'#skF_67': $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i ) > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(relation_inverse,type,
relation_inverse: $i > $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i ) > $i ).
tff('#skF_69',type,
'#skF_69': $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(meet_of_subsets,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff('#skF_73',type,
'#skF_73': $i > $i ).
tff('#skF_79',type,
'#skF_79': $i > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i ) > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff('#skF_80',type,
'#skF_80': $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i ) > $i ).
tff('#skF_68',type,
'#skF_68': $i > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_81',type,
'#skF_81': $i ).
tff(proper_subset,type,
proper_subset: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff('#skF_71',type,
'#skF_71': $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(identity_relation,type,
identity_relation: $i > $i ).
tff('#skF_72',type,
'#skF_72': $i ).
tff('#skF_74',type,
'#skF_74': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(set_intersection2,type,
set_intersection2: ( $i * $i ) > $i ).
tff('#skF_82',type,
'#skF_82': $i > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i ) > $i ).
tff(relation_composition,type,
relation_composition: ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(disjoint,type,
disjoint: ( $i * $i ) > $o ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff(relation_dom_restriction,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_60',type,
'#skF_60': ( $i * $i * $i ) > $i ).
tff(set_meet,type,
set_meet: $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff('#skF_83',type,
'#skF_83': ( $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_78',type,
'#skF_78': $i > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff('#skF_61',type,
'#skF_61': ( $i * $i * $i ) > $i ).
tff('#skF_59',type,
'#skF_59': ( $i * $i * $i ) > $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_77',type,
'#skF_77': ( $i * $i ) > $i ).
tff('#skF_70',type,
'#skF_70': $i ).
tff(union_of_subsets,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(subset_complement,type,
subset_complement: ( $i * $i ) > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i ) > $i ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_58',type,
'#skF_58': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_65',type,
'#skF_65': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i * $i ) > $i ).
tff(f_1030,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_relat_1) ).
tff(f_995,lemma,
! [A,B] :
( relation(B)
=> subset(relation_dom_restriction(B,A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_relat_1) ).
tff(f_355,axiom,
! [A,B] :
( relation(A)
=> relation(relation_dom_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
tff(f_683,lemma,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_dom(A),relation_dom(B))
& subset(relation_rng(A),relation_rng(B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
tff(c_744,plain,
relation('#skF_81'),
inference(cnfTransformation,[status(thm)],[f_1030]) ).
tff(c_728,plain,
! [B_707,A_706] :
( subset(relation_dom_restriction(B_707,A_706),B_707)
| ~ relation(B_707) ),
inference(cnfTransformation,[status(thm)],[f_995]) ).
tff(c_388,plain,
! [A_441,B_442] :
( relation(relation_dom_restriction(A_441,B_442))
| ~ relation(A_441) ),
inference(cnfTransformation,[status(thm)],[f_355]) ).
tff(c_22273,plain,
! [A_1631,B_1632] :
( subset(relation_rng(A_1631),relation_rng(B_1632))
| ~ subset(A_1631,B_1632)
| ~ relation(B_1632)
| ~ relation(A_1631) ),
inference(cnfTransformation,[status(thm)],[f_683]) ).
tff(c_742,plain,
~ subset(relation_rng(relation_dom_restriction('#skF_81','#skF_80')),relation_rng('#skF_81')),
inference(cnfTransformation,[status(thm)],[f_1030]) ).
tff(c_22299,plain,
( ~ subset(relation_dom_restriction('#skF_81','#skF_80'),'#skF_81')
| ~ relation('#skF_81')
| ~ relation(relation_dom_restriction('#skF_81','#skF_80')) ),
inference(resolution,[status(thm)],[c_22273,c_742]) ).
tff(c_22359,plain,
( ~ subset(relation_dom_restriction('#skF_81','#skF_80'),'#skF_81')
| ~ relation(relation_dom_restriction('#skF_81','#skF_80')) ),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_22299]) ).
tff(c_22537,plain,
~ relation(relation_dom_restriction('#skF_81','#skF_80')),
inference(splitLeft,[status(thm)],[c_22359]) ).
tff(c_22549,plain,
~ relation('#skF_81'),
inference(resolution,[status(thm)],[c_388,c_22537]) ).
tff(c_22559,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_744,c_22549]) ).
tff(c_22560,plain,
~ subset(relation_dom_restriction('#skF_81','#skF_80'),'#skF_81'),
inference(splitRight,[status(thm)],[c_22359]) ).
tff(c_22597,plain,
~ relation('#skF_81'),
inference(resolution,[status(thm)],[c_728,c_22560]) ).
tff(c_22608,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_744,c_22597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 11:31:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 17.27/5.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.27/5.85
% 17.27/5.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.27/5.88
% 17.27/5.88 Inference rules
% 17.27/5.88 ----------------------
% 17.27/5.88 #Ref : 6
% 17.27/5.88 #Sup : 5482
% 17.27/5.88 #Fact : 0
% 17.27/5.88 #Define : 0
% 17.27/5.88 #Split : 3
% 17.27/5.88 #Chain : 0
% 17.27/5.88 #Close : 0
% 17.27/5.88
% 17.27/5.88 Ordering : KBO
% 17.27/5.88
% 17.27/5.88 Simplification rules
% 17.27/5.88 ----------------------
% 17.27/5.88 #Subsume : 1831
% 17.27/5.88 #Demod : 1432
% 17.27/5.88 #Tautology : 1629
% 17.27/5.88 #SimpNegUnit : 128
% 17.27/5.88 #BackRed : 21
% 17.27/5.88
% 17.27/5.88 #Partial instantiations: 0
% 17.27/5.88 #Strategies tried : 1
% 17.27/5.88
% 17.27/5.88 Timing (in seconds)
% 17.27/5.88 ----------------------
% 17.27/5.88 Preprocessing : 1.01
% 17.27/5.88 Parsing : 0.46
% 17.27/5.88 CNF conversion : 0.12
% 17.27/5.88 Main loop : 3.78
% 17.27/5.88 Inferencing : 0.85
% 17.27/5.88 Reduction : 1.57
% 17.27/5.88 Demodulation : 1.06
% 17.27/5.88 BG Simplification : 0.12
% 17.27/5.88 Subsumption : 1.00
% 17.27/5.88 Abstraction : 0.09
% 17.27/5.88 MUC search : 0.00
% 17.27/5.88 Cooper : 0.00
% 17.27/5.88 Total : 4.85
% 17.27/5.88 Index Insertion : 0.00
% 17.27/5.88 Index Deletion : 0.00
% 17.27/5.88 Index Matching : 0.00
% 17.27/5.88 BG Taut test : 0.00
%------------------------------------------------------------------------------