TSTP Solution File: NUM386+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM386+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 : Mon Jul 18 14:10:10 EDT 2022
% Result : Theorem 46.94s 47.12s
% Output : Refutation 46.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 5 unt; 5 nHn; 12 RR)
% Number of literals : 32 ( 13 equ; 12 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
succ(X) = set_union2(X,singleton(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
cnf(4,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(5,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(8,axiom,
( X != set_union2(Y,Z)
| ~ in(U,X)
| in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(9,axiom,
( X != set_union2(Y,Z)
| in(U,X)
| ~ in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(33,negated_conjecture,
( ~ in('SKOLEMAAAU14',succ('SKOLEMAAAU15'))
| ~ in('SKOLEMAAAU14','SKOLEMAAAU15') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_ordinal1) ).
cnf(34,negated_conjecture,
( ~ in('SKOLEMAAAU14',succ('SKOLEMAAAU15'))
| 'SKOLEMAAAU14' != 'SKOLEMAAAU15' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_ordinal1) ).
cnf(35,negated_conjecture,
( in('SKOLEMAAAU14',succ('SKOLEMAAAU15'))
| in('SKOLEMAAAU14','SKOLEMAAAU15')
| 'SKOLEMAAAU14' = 'SKOLEMAAAU15' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_ordinal1) ).
cnf(70,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[5,theory(equality),theory(equality)]) ).
cnf(77,plain,
( in('SKOLEMAAAU14','SKOLEMAAAU15')
| 'SKOLEMAAAU14' = 'SKOLEMAAAU15'
| in('SKOLEMAAAU14',singleton('SKOLEMAAAU15')) ),
inference('HYPERRESOLVE',[status(thm)],[8,3,35]) ).
cnf(332,plain,
in(X,succ(X)),
inference('HYPERRESOLVE',[status(thm)],[9,70,3]) ).
cnf(34368,plain,
( in('SKOLEMAAAU14','SKOLEMAAAU15')
| 'SKOLEMAAAU14' = 'SKOLEMAAAU15' ),
inference('HYPERRESOLVE',[status(thm)],[4,77,theory(equality)]) ).
cnf(34370,plain,
( 'SKOLEMAAAU14' = 'SKOLEMAAAU15'
| in('SKOLEMAAAU14',succ('SKOLEMAAAU15')) ),
inference('HYPERRESOLVE',[status(thm)],[9,34368,3]) ).
cnf(34372,plain,
'SKOLEMAAAU14' = 'SKOLEMAAAU15',
inference('HYPERRESOLVE',[status(thm)],[33,34370,34368]) ).
cnf(34374,plain,
$false,
inference('REWRITE',[status(thm)],[34,332,34372,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM386+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 06:41:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T06:41:51
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-07T06:41:51
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.49 WARNING:
% 0.19/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 46.94/47.12 ; Declaring set_union2 to be commutative.
% 46.94/47.12
% 46.94/47.12 #||
% 46.94/47.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.94/47.12 % SZS output start Refutation
% See solution above
% 46.94/47.12 ||#
% 46.94/47.12
% 46.94/47.12 ; Summary of computation:
% 46.94/47.12 ; 216971 formulas have been input or derived (from 636 formulas).
% 46.94/47.12 ; 34374 (16%) were retained. Of these,
% 46.94/47.12 ; 329 ( 1%) were simplified or subsumed later,
% 46.94/47.12 ; 34045 (99%) are still being kept.
% 46.94/47.12 ;
% 46.94/47.12 ; Run time in seconds excluding printing time:
% 46.94/47.12 ; 0.005 0% Read assertion file (1 call)
% 46.94/47.12 ; 0.002 0% Assert (34 calls)
% 46.94/47.12 ; 3.314 7% Process new row (214,785 calls)
% 46.94/47.12 ; 20.224 43% Resolution (1,270 calls)
% 46.94/47.12 ; 0.066 0% Paramodulation (635 calls)
% 46.94/47.12 ; 0.001 0% Factoring (13 calls)
% 46.94/47.12 ; 0.015 0% Condensing (493 calls)
% 46.94/47.12 ; 0.015 0% Forward subsumption (493 calls)
% 46.94/47.12 ; 0.001 0% Backward subsumption (84 calls)
% 46.94/47.12 ; 0.007 0% Clause clause subsumption (719 calls)
% 46.94/47.12 ; 3.425 7% Forward simplification (214,648 calls)
% 46.94/47.12 ; 18.945 41% Backward simplification (34,374 calls)
% 46.94/47.12 ; 0.015 0% Ordering (6,500 calls)
% 46.94/47.12 ; 0.000 0% Sortal reasoning (32 calls)
% 46.94/47.12 ; 0.000 0% Purity testing (1 call)
% 46.94/47.12 ; 0.607 1% Other
% 46.94/47.12 ; 46.642 Total
% 46.94/47.12 ; 46.647 Real time
% 46.94/47.12 ;
% 46.94/47.12 ; Term-hash-array has 59,904 terms in all.
% 46.94/47.12 ; Feature-vector-row-index has 69 entries (79 at peak, 84 added, 15 deleted).
% 46.94/47.12 ; Feature-vector-row-index has 208 nodes (279 at peak, 308 added, 100 deleted).
% 46.94/47.12 ; Retrieved 1,553 possibly forward subsuming rows in 493 calls.
% 46.94/47.12 ; Retrieved 46 possibly backward subsumed rows in 84 calls.
% 46.94/47.12 ; Path-index has 59,582 entries (59,594 at peak, 59,934 added, 352 deleted).
% 46.94/47.12 ; Path-index has 5,090 nodes (5,103 at peak, 5,142 added, 52 deleted).
% 46.94/47.12 ; Trie-index has 59,582 entries (59,594 at peak, 59,934 added, 352 deleted).
% 46.94/47.12 ; Trie-index has 103,556 nodes (103,579 at peak, 104,470 added, 914 deleted).
% 46.94/47.12 ; Retrieved 505,384 generalization terms in 549,597 calls.
% 46.94/47.12 ; Retrieved 9,543,401 instance terms in 34,289 calls.
% 46.94/47.12 ; Retrieved 10,948,293 unifiable terms in 136,633 calls.
% 46.94/47.12 ;
% 46.94/47.12 ; The agenda of backward simplifiable rows to process has 4 entries:
% 46.94/47.12 ; 4 with value 0
% 46.94/47.12 ; The agenda of rows to process has 26 entries:
% 46.94/47.12 ; 2 with value 14 4 with value 18 4 with value 21
% 46.94/47.12 ; 1 with value 16 2 with value 19 3 with value 23
% 46.94/47.12 ; 4 with value 17 4 with value 20 2 with value 24
% 46.94/47.12 ; The agenda of input rows to give has 1 entry:
% 46.94/47.12 ; 1 with value 4
% 46.94/47.12 ; The agenda of rows to give has 33423 entries:
% 46.94/47.12 ; 1 with value (4 8) 1030 with value (4 24) 3 with value (4 34)
% 46.94/47.12 ; 706 with value (4 15) 773 with value (4 25) 1 with value (4 36)
% 46.94/47.12 ; 235 with value (4 16) 584 with value (4 26) 2 with value (4 39)
% 46.94/47.12 ; 2450 with value (4 17) 446 with value (4 27) 3 with value (4 40)
% 46.94/47.12 ; 551 with value (4 18) 308 with value (4 28) 2 with value (4 41)
% 46.94/47.12 ; 6234 with value (4 19) 213 with value (4 29) 1 with value (4 50)
% 46.94/47.12 ; 939 with value (4 20) 135 with value (4 30) 2 with value (4 51)
% 46.94/47.12 ; 10659 with value (4 21) 44 with value (4 31) 1 with value (4 54)
% 46.94/47.12 ; 1315 with value (4 22) 7 with value (4 32) 2 with value (4 55)
% 46.94/47.12 ; 6773 with value (4 23) 3 with value (4 33)
% 46.94/47.12 Evaluation took:
% 46.94/47.12 46.648 seconds of real time
% 46.94/47.12 45.520096 seconds of user run time
% 46.94/47.12 1.123925 seconds of system run time
% 46.94/47.12 [Run times include 2.717 seconds GC run time.]
% 46.94/47.12 0 calls to %EVAL
% 46.94/47.12 0 page faults and
% 46.94/47.12 2,342,161,376 bytes consed.
% 46.94/47.12 :PROOF-FOUND
% 46.94/47.12 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T06:42:38
% 46.94/47.12 :PROOF-FOUND
% 46.94/47.12 *
%------------------------------------------------------------------------------