TSTP Solution File: SEU144+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU144+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 14:19:28 EDT 2022
% Result : Theorem 1.44s 1.68s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 8 unt; 4 nHn; 13 RR)
% Number of literals : 26 ( 6 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(10,axiom,
( X = empty_set
| in('SKOLEMAAAV2'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(21,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(22,axiom,
( subset(X,Y)
| in('SKOLEMAAAV5'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(23,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV5'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(45,axiom,
singleton(X) != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).
cnf(46,negated_conjecture,
( ~ subset(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9')
| ~ in('SKOLEMAAAV8','SKOLEMAAAV9') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(47,negated_conjecture,
( subset(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9')
| in('SKOLEMAAAV8','SKOLEMAAAV9') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(132,plain,
( in('SKOLEMAAAV8','SKOLEMAAAV9')
| in('SKOLEMAAAV2'(singleton('SKOLEMAAAV8')),'SKOLEMAAAV9') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[21,47,10]),45]) ).
cnf(168,plain,
'SKOLEMAAAV2'(singleton(X)) = X,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,10,theory(equality)]),45]) ).
cnf(170,plain,
in('SKOLEMAAAV8','SKOLEMAAAV9'),
inference('REWRITE',[status(thm)],[132,168,theory(equality)]) ).
cnf(171,plain,
~ subset(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9'),
inference('REWRITE',[status(thm)],[46,170]) ).
cnf(178,plain,
~ in('SKOLEMAAAV5'(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9'),'SKOLEMAAAV9'),
inference('UR-RESOLVE',[status(thm)],[23,171]) ).
cnf(180,plain,
in('SKOLEMAAAV5'(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9'),singleton('SKOLEMAAAV8')),
inference('HYPERRESOLVE',[status(thm)],[171,22]) ).
cnf(1587,plain,
'SKOLEMAAAV5'(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9') = 'SKOLEMAAAV8',
inference('HYPERRESOLVE',[status(thm)],[5,180,theory(equality)]) ).
cnf(1588,plain,
$false,
inference('REWRITE',[status(thm)],[178,170,1587,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU144+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 17:09:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T17:09:47
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-19T17:09:47
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.50 ; Declaring unordered_pair to be commutative.
% 0.19/0.50 ; Declaring set_union2 to be commutative.
% 0.19/0.50 ; Declaring set_intersection2 to be commutative.
% 1.44/1.68 ; Declaring disjoint to be commutative.
% 1.44/1.68
% 1.44/1.68 #||
% 1.44/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.44/1.68 % SZS output start Refutation
% See solution above
% 1.44/1.68 ||#
% 1.44/1.68
% 1.44/1.68 ; Summary of computation:
% 1.44/1.68 ; 17457 formulas have been input or derived (from 176 formulas).
% 1.44/1.68 ; 1588 ( 9%) were retained. Of these,
% 1.44/1.68 ; 102 ( 6%) were simplified or subsumed later,
% 1.44/1.68 ; 1486 (94%) are still being kept.
% 1.44/1.68 ;
% 1.44/1.68 ; Run time in seconds excluding printing time:
% 1.44/1.68 ; 0.011 1% Read assertion file (1 call)
% 1.44/1.68 ; 0.004 0% Assert (65 calls)
% 1.44/1.68 ; 0.130 11% Process new row (15,739 calls)
% 1.44/1.68 ; 0.331 28% Resolution (350 calls)
% 1.44/1.68 ; 0.008 1% Paramodulation (175 calls)
% 1.44/1.68 ; 0.000 0% Factoring (18 calls)
% 1.44/1.68 ; 0.086 7% Condensing (4,577 calls)
% 1.44/1.68 ; 0.127 11% Forward subsumption (4,577 calls)
% 1.44/1.68 ; 0.015 1% Backward subsumption (503 calls)
% 1.44/1.68 ; 0.059 5% Clause clause subsumption (9,203 calls)
% 1.44/1.68 ; 0.294 25% Forward simplification (15,738 calls)
% 1.44/1.68 ; 0.017 1% Backward simplification (1,585 calls)
% 1.44/1.68 ; 0.046 4% Ordering (13,684 calls)
% 1.44/1.68 ; 0.000 0% Sortal reasoning (32 calls)
% 1.44/1.68 ; 0.000 0% Purity testing (1 call)
% 1.44/1.68 ; 0.069 6% Other
% 1.44/1.68 ; 1.197 Total
% 1.44/1.68 ; 1.199 Real time
% 1.44/1.68 ;
% 1.44/1.68 ; Term-hash-array has 2,819 terms in all.
% 1.44/1.68 ; Feature-vector-row-index has 452 entries (452 at peak, 503 added, 51 deleted).
% 1.44/1.68 ; Feature-vector-row-index has 1,248 nodes (1,248 at peak, 1,460 added, 212 deleted).
% 1.44/1.68 ; Retrieved 24,055 possibly forward subsuming rows in 4,577 calls.
% 1.44/1.68 ; Retrieved 632 possibly backward subsumed rows in 503 calls.
% 1.44/1.68 ; Path-index has 2,706 entries (2,735 at peak, 2,851 added, 145 deleted).
% 1.44/1.68 ; Path-index has 3,414 nodes (3,461 at peak, 3,516 added, 102 deleted).
% 1.44/1.68 ; Trie-index has 2,706 entries (2,735 at peak, 2,851 added, 145 deleted).
% 1.44/1.68 ; Trie-index has 7,698 nodes (7,881 at peak, 8,152 added, 454 deleted).
% 1.44/1.68 ; Retrieved 74,367 generalization terms in 76,521 calls.
% 1.44/1.68 ; Retrieved 1,621 instance terms in 1,082 calls.
% 1.44/1.68 ; Retrieved 440,141 unifiable terms in 10,555 calls.
% 1.44/1.68 ;
% 1.44/1.68 ; The agenda of backward simplifiable rows to process has 17 entries:
% 1.44/1.68 ; 17 with value 0
% 1.44/1.68 ; The agenda of rows to process has 213 entries:
% 1.44/1.68 ; 11 with value 11 7 with value 24 4 with value 37
% 1.44/1.68 ; 6 with value 12 3 with value 25 1 with value 38
% 1.44/1.68 ; 14 with value 14 10 with value 26 1 with value 39
% 1.44/1.68 ; 4 with value 15 9 with value 27 6 with value 40
% 1.44/1.68 ; 5 with value 16 8 with value 28 1 with value 42
% 1.44/1.68 ; 23 with value 17 8 with value 29 1 with value 43
% 1.44/1.68 ; 10 with value 18 10 with value 30 1 with value 44
% 1.44/1.68 ; 3 with value 19 1 with value 31 1 with value 46
% 1.44/1.68 ; 8 with value 20 11 with value 32 1 with value 47
% 1.44/1.68 ; 14 with value 21 1 with value 33 1 with value 48
% 1.44/1.68 ; 14 with value 22 1 with value 34 1 with value 50
% 1.44/1.68 ; 12 with value 23 1 with value 36
% 1.44/1.68 ; The agenda of rows to give has 1315 entries:
% 1.44/1.68 ; 48 with value (4 11) 17 with value (4 26) 4 with value (4 41)
% 1.44/1.68 ; 75 with value (4 12) 5 with value (4 27) 9 with value (4 42)
% 1.44/1.68 ; 108 with value (4 13) 14 with value (4 28) 5 with value (4 43)
% 1.44/1.68 ; 130 with value (4 14) 16 with value (4 29) 15 with value (4 44)
% 1.44/1.68 ; 172 with value (4 15) 9 with value (4 30) 5 with value (4 45)
% 1.44/1.68 ; 153 with value (4 16) 13 with value (4 31) 9 with value (4 46)
% 1.44/1.68 ; 106 with value (4 17) 11 with value (4 32) 4 with value (4 47)
% 1.44/1.68 ; 70 with value (4 18) 10 with value (4 33) 2 with value (4 48)
% 1.44/1.68 ; 54 with value (4 19) 13 with value (4 34) 3 with value (4 49)
% 1.44/1.68 ; 46 with value (4 20) 4 with value (4 35) 1 with value (4 50)
% 1.44/1.68 ; 42 with value (4 21) 5 with value (4 36) 1 with value (4 51)
% 1.44/1.68 ; 29 with value (4 22) 7 with value (4 37) 4 with value (4 54)
% 1.44/1.68 ; 14 with value (4 23) 13 with value (4 38) 4 with value (4 55)
% 1.44/1.68 ; 11 with value (4 24) 16 with value (4 39) 4 with value (4 56)
% 1.44/1.68 ; 21 with value (4 25) 9 with value (4 40) 4 with value (4 57)
% 1.44/1.68 Evaluation took:
% 1.44/1.68 1.199 seconds of real time
% 1.44/1.68 1.076147 seconds of user run time
% 1.44/1.68 0.123019 seconds of system run time
% 1.44/1.68 [Run times include 0.057 seconds GC run time.]
% 1.44/1.68 0 calls to %EVAL
% 1.44/1.68 0 page faults and
% 1.44/1.68 95,700,000 bytes consed.
% 1.44/1.68 :PROOF-FOUND
% 1.44/1.68 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T17:09:48
% 1.44/1.68 :PROOF-FOUND
% 1.44/1.68 *
%------------------------------------------------------------------------------