TSTP Solution File: SET944+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET944+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 : 600s
% DateTime : Tue Jul 19 05:13:36 EDT 2022
% Result : Theorem 5.36s 5.57s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 11 unt; 6 nHn; 18 RR)
% Number of literals : 51 ( 13 equ; 21 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 42 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(3,axiom,
( subset(X,Y)
| in('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(5,axiom,
( X != set_intersection2(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(6,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(7,axiom,
( X = set_intersection2(Y,Z)
| ~ in('SKOLEMAAAV2'(X,Y,Z),X)
| ~ in('SKOLEMAAAV2'(X,Y,Z),Y)
| ~ in('SKOLEMAAAV2'(X,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(8,axiom,
( X = set_intersection2(Y,Z)
| in('SKOLEMAAAV2'(X,Y,Z),X)
| in('SKOLEMAAAV2'(X,Y,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(10,axiom,
( X != union(Y)
| ~ in(Z,X)
| in(Z,'SKOLEMAAAV3'(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(11,axiom,
( X != union(Y)
| ~ in(Z,X)
| in('SKOLEMAAAV3'(Z,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(12,axiom,
( X != union(Y)
| in(Z,X)
| ~ in(Z,U)
| ~ in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(16,axiom,
set_intersection2(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
cnf(20,negated_conjecture,
~ subset(union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_zfmisc_1) ).
cnf(21,plain,
in('SKOLEMAAAV1'(union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9'))),
inference('HYPERRESOLVE',[status(thm)],[20,3]) ).
cnf(22,plain,
~ in('SKOLEMAAAV1'(union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),
inference('UR-RESOLVE',[status(thm)],[4,20]) ).
cnf(32,plain,
( X = set_intersection2(X,Y)
| in('SKOLEMAAAV2'(X,X,Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[6,8,16,8]) ).
cnf(80,plain,
( X = set_intersection2(X,Y)
| in('SKOLEMAAAV1'(X,Z),X)
| in('SKOLEMAAAV2'(X,X,Y),Z) ),
inference('HYPERRESOLVE',[status(thm)],[2,32,3]) ).
cnf(115,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV1'(union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),
inference('HYPERRESOLVE',[status(thm)],[11,21,theory(equality)]) ).
cnf(126,plain,
union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')) != set_intersection2(set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9')),X),
inference('UR-RESOLVE',[status(thm)],[5,22,21]) ).
cnf(226,plain,
( X = set_intersection2(X,Y)
| in('SKOLEMAAAV1'(X,Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[7,80,8,8]) ).
cnf(293,plain,
( union(X) = set_intersection2(union(X),Y)
| in('SKOLEMAAAV1'(union(X),Y),'SKOLEMAAAV3'('SKOLEMAAAV1'(union(X),Y),X)) ),
inference('HYPERRESOLVE',[status(thm)],[10,226,theory(equality)]) ).
cnf(406,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV1'(union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),'SKOLEMAAAV8'),
inference('HYPERRESOLVE',[status(thm)],[5,115,theory(equality)]) ).
cnf(407,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV1'(union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),'SKOLEMAAAV9'),
inference('HYPERRESOLVE',[status(thm)],[5,115,theory(equality)]) ).
cnf(3139,plain,
in('SKOLEMAAAV1'(union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),union('SKOLEMAAAV8')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,293,406,theory(equality)]),126]) ).
cnf(3140,plain,
in('SKOLEMAAAV1'(union(set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2(union('SKOLEMAAAV8'),union('SKOLEMAAAV9'))),union('SKOLEMAAAV9')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,293,407,theory(equality)]),126]) ).
cnf(3200,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,3139,22,theory(equality)]),3140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET944+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 04:26:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T04:26:44
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-10T04:26:44
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 5.36/5.57 ; Declaring set_intersection2 to be commutative.
% 5.36/5.57
% 5.36/5.57 #||
% 5.36/5.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/5.57 % SZS output start Refutation
% See solution above
% 5.36/5.57 ||#
% 5.36/5.57
% 5.36/5.57 ; Summary of computation:
% 5.36/5.57 ; 21222 formulas have been input or derived (from 83 formulas).
% 5.36/5.57 ; 3200 (15%) were retained. Of these,
% 5.36/5.57 ; 6 ( 0%) were simplified or subsumed later,
% 5.36/5.57 ; 3194 (100%) are still being kept.
% 5.36/5.57 ;
% 5.36/5.57 ; Run time in seconds excluding printing time:
% 5.36/5.57 ; 0.002 0% Read assertion file (1 call)
% 5.36/5.57 ; 0.001 0% Assert (10 calls)
% 5.36/5.57 ; 0.370 7% Process new row (15,582 calls)
% 5.36/5.57 ; 0.860 17% Resolution (164 calls)
% 5.36/5.57 ; 0.007 0% Paramodulation (82 calls)
% 5.36/5.57 ; 0.000 0% Factoring (38 calls)
% 5.36/5.57 ; 0.266 5% Condensing (11,459 calls)
% 5.36/5.57 ; 1.389 27% Forward subsumption (11,459 calls)
% 5.36/5.57 ; 0.406 8% Backward subsumption (3,122 calls)
% 5.36/5.57 ; 1.009 20% Clause clause subsumption (249,984 calls)
% 5.36/5.57 ; 0.523 10% Forward simplification (15,581 calls)
% 5.36/5.57 ; 0.002 0% Backward simplification (3,200 calls)
% 5.36/5.57 ; 0.188 4% Ordering (72,271 calls)
% 5.36/5.57 ; 0.000 0% Sortal reasoning (32 calls)
% 5.36/5.57 ; 0.001 0% Purity testing (1 call)
% 5.36/5.57 ; 0.081 2% Other
% 5.36/5.57 ; 5.105 Total
% 5.36/5.57 ; 5.107 Real time
% 5.36/5.57 ;
% 5.36/5.57 ; Term-hash-array has 4,489 terms in all.
% 5.36/5.57 ; Feature-vector-row-index has 3,118 entries (3,118 at peak, 3,122 added, 4 deleted).
% 5.36/5.57 ; Feature-vector-row-index has 8,905 nodes (8,905 at peak, 8,914 added, 9 deleted).
% 5.36/5.57 ; Retrieved 390,912 possibly forward subsuming rows in 11,459 calls.
% 5.36/5.57 ; Retrieved 60,991 possibly backward subsumed rows in 3,122 calls.
% 5.36/5.57 ; Path-index has 4,483 entries (4,483 at peak, 4,493 added, 10 deleted).
% 5.36/5.57 ; Path-index has 6,636 nodes (6,636 at peak, 6,641 added, 5 deleted).
% 5.36/5.57 ; Trie-index has 4,483 entries (4,483 at peak, 4,493 added, 10 deleted).
% 5.36/5.57 ; Trie-index has 14,558 nodes (14,558 at peak, 14,584 added, 26 deleted).
% 5.36/5.57 ; Retrieved 49,930 generalization terms in 104,276 calls.
% 5.36/5.57 ; Retrieved 109 instance terms in 77 calls.
% 5.36/5.57 ; Retrieved 1,013,345 unifiable terms in 4,503 calls.
% 5.36/5.57 ;
% 5.36/5.57 ; The agenda of rows to process has 200 entries:
% 5.36/5.57 ; 7 with value 23 1 with value 57 5 with value 76
% 5.36/5.57 ; 2 with value 25 1 with value 58 2 with value 78
% 5.36/5.57 ; 8 with value 26 7 with value 59 2 with value 79
% 5.36/5.57 ; 9 with value 28 2 with value 61 2 with value 80
% 5.36/5.57 ; 5 with value 29 6 with value 62 1 with value 82
% 5.36/5.57 ; 11 with value 32 8 with value 63 4 with value 83
% 5.36/5.57 ; 4 with value 34 7 with value 64 2 with value 84
% 5.36/5.57 ; 1 with value 37 6 with value 65 1 with value 85
% 5.36/5.57 ; 1 with value 42 4 with value 66 3 with value 86
% 5.36/5.57 ; 2 with value 43 4 with value 67 4 with value 87
% 5.36/5.57 ; 4 with value 44 8 with value 68 2 with value 88
% 5.36/5.57 ; 3 with value 46 3 with value 69 2 with value 89
% 5.36/5.57 ; 2 with value 47 3 with value 70 2 with value 90
% 5.36/5.57 ; 9 with value 48 3 with value 71 1 with value 93
% 5.36/5.57 ; 4 with value 50 3 with value 72 2 with value 95
% 5.36/5.57 ; 3 with value 51 4 with value 73 2 with value 99
% 5.36/5.57 ; 9 with value 53 1 with value 74 1 with value 101
% 5.36/5.57 ; 1 with value 55 4 with value 75 1 with value 105
% 5.36/5.57 ; 1 with value 56
% 5.36/5.57 ; The agenda of rows to give has 3112 entries:
% 5.36/5.57 ; 2 with value (4 17) 100 with value (4 56) 5 with value (4 86)
% 5.36/5.57 ; 2 with value (4 20) 105 with value (4 57) 1 with value (4 87)
% 5.36/5.57 ; 1 with value (4 22) 118 with value (4 58) 9 with value (4 88)
% 5.36/5.57 ; 4 with value (4 23) 107 with value (4 59) 7 with value (4 89)
% 5.36/5.57 ; 11 with value (4 29) 66 with value (4 60) 9 with value (4 90)
% 5.36/5.57 ; 15 with value (4 30) 82 with value (4 61) 10 with value (4 91)
% 5.36/5.57 ; 24 with value (4 31) 100 with value (4 62) 8 with value (4 92)
% 5.36/5.57 ; 20 with value (4 32) 76 with value (4 63) 5 with value (4 93)
% 5.36/5.57 ; 24 with value (4 33) 67 with value (4 64) 4 with value (4 95)
% 5.36/5.57 ; 22 with value (4 34) 51 with value (4 65) 5 with value (4 96)
% 5.36/5.57 ; 22 with value (4 35) 47 with value (4 66) 2 with value (4 98)
% 5.36/5.57 ; 18 with value (4 36) 36 with value (4 67) 4 with value (4 99)
% 5.36/5.57 ; 34 with value (4 37) 32 with value (4 68) 8 with value (4 100)
% 5.36/5.57 ; 28 with value (4 38) 18 with value (4 69) 2 with value (4 101)
% 5.36/5.57 ; 26 with value (4 39) 21 with value (4 70) 8 with value (4 102)
% 5.36/5.57 ; 21 with value (4 40) 15 with value (4 71) 8 with value (4 103)
% 5.36/5.57 ; 45 with value (4 41) 19 with value (4 72) 8 with value (4 104)
% 5.36/5.57 ; 51 with value (4 42) 18 with value (4 73) 2 with value (4 105)
% 5.36/5.57 ; 36 with value (4 43) 22 with value (4 74) 8 with value (4 106)
% 5.36/5.57 ; 70 with value (4 44) 12 with value (4 75) 4 with value (4 107)
% 5.36/5.57 ; 70 with value (4 45) 22 with value (4 76) 2 with value (4 108)
% 5.36/5.57 ; 83 with value (4 46) 10 with value (4 77) 5 with value (4 109)
% 5.36/5.57 ; 105 with value (4 47) 11 with value (4 78) 1 with value (4 110)
% 5.36/5.57 ; 108 with value (4 48) 30 with value (4 79) 2 with value (4 111)
% 5.36/5.57 ; 139 with value (4 49) 15 with value (4 80) 1 with value (4 118)
% 5.36/5.57 ; 121 with value (4 50) 13 with value (4 81) 8 with value (4 119)
% 5.36/5.57 ; 116 with value (4 51) 7 with value (4 82) 2 with value (4 121)
% 5.36/5.57 ; 123 with value (4 52) 13 with value (4 83) 2 with value (4 125)
% 5.36/5.57 ; 147 with value (4 53) 6 with value (4 84) 2 with value (4 126)
% 5.36/5.57 ; 130 with value (4 54) 3 with value (4 85) 1 with value (4 127)
% 5.36/5.57 ; 109 with value (4 55)
% 5.36/5.57 Evaluation took:
% 5.36/5.57 5.109 seconds of real time
% 5.36/5.57 4.636008 seconds of user run time
% 5.36/5.57 0.473063 seconds of system run time
% 5.36/5.57 [Run times include 0.364 seconds GC run time.]
% 5.36/5.57 0 calls to %EVAL
% 5.36/5.57 0 page faults and
% 5.36/5.57 561,289,952 bytes consed.
% 5.36/5.57 :PROOF-FOUND
% 5.36/5.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T04:26:49
% 5.36/5.57 :PROOF-FOUND
% 5.36/5.57 *
%------------------------------------------------------------------------------