TSTP Solution File: LCL688+1.001 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL688+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 : 600s
% DateTime : Sun Jul 17 14:25:24 EDT 2022
% Result : Theorem 4.76s 4.94s
% Output : Refutation 4.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 13 unt; 1 nHn; 20 RR)
% Number of literals : 44 ( 0 equ; 24 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
cnf(2,axiom,
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(3,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| r1(Y,'SKOLEMAAAV2'(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
cnf(4,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| r1('SKOLEMAAAV2'(Y),'SKOLEMAAAV3'(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
cnf(5,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| p2('SKOLEMAAAV2'(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
cnf(8,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| p2(Z)
| ~ p2(Y)
| ~ r1(Y,U)
| r1(U,'SKOLEMAAAV5'(U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
cnf(9,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| p2(Z)
| ~ p2(Y)
| ~ r1(Y,U)
| ~ r1('SKOLEMAAAV5'(U),V)
| ~ p2(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
cnf(21,negated_conjecture,
r1('SKOLEMAAAV1','SKOLEMAAAV11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
cnf(22,negated_conjecture,
( ~ r1('SKOLEMAAAV11',X)
| r1(X,'SKOLEMAAAV12'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
cnf(23,negated_conjecture,
( ~ r1('SKOLEMAAAV11',X)
| ~ p2('SKOLEMAAAV12'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
cnf(35,plain,
p2('SKOLEMAAAV2'('SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[5,21,1]) ).
cnf(40,plain,
r1('SKOLEMAAAV11','SKOLEMAAAV2'('SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[3,21,1]) ).
cnf(45,plain,
r1('SKOLEMAAAV2'('SKOLEMAAAV11'),'SKOLEMAAAV3'('SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[4,21,1]) ).
cnf(87,plain,
r1('SKOLEMAAAV1','SKOLEMAAAV2'('SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[2,40,21]) ).
cnf(89,plain,
~ p2('SKOLEMAAAV12'('SKOLEMAAAV2'('SKOLEMAAAV11'))),
inference('UR-RESOLVE',[status(thm)],[23,40]) ).
cnf(91,plain,
r1('SKOLEMAAAV2'('SKOLEMAAAV11'),'SKOLEMAAAV12'('SKOLEMAAAV2'('SKOLEMAAAV11'))),
inference('HYPERRESOLVE',[status(thm)],[22,40]) ).
cnf(171,plain,
r1('SKOLEMAAAV1','SKOLEMAAAV3'('SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[2,87,45]) ).
cnf(271,plain,
r1('SKOLEMAAAV3'('SKOLEMAAAV11'),'SKOLEMAAAV5'('SKOLEMAAAV3'('SKOLEMAAAV11'))),
inference('UR-RESOLVE',[status(thm)],[8,91,21,40,89,35,45]) ).
cnf(582,plain,
p2('SKOLEMAAAV2'('SKOLEMAAAV5'('SKOLEMAAAV3'('SKOLEMAAAV11')))),
inference('HYPERRESOLVE',[status(thm)],[5,271,171]) ).
cnf(584,plain,
r1('SKOLEMAAAV5'('SKOLEMAAAV3'('SKOLEMAAAV11')),'SKOLEMAAAV2'('SKOLEMAAAV5'('SKOLEMAAAV3'('SKOLEMAAAV11')))),
inference('HYPERRESOLVE',[status(thm)],[3,271,171]) ).
cnf(1092,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,582,21,40,91,89,35,45]),584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL688+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 : Sun Jul 3 09:38:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-03T09:38:21
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-03T09:38:21
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49 WARNING:
% 0.19/0.49 |p3| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |p4| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 4.76/4.94
% 4.76/4.94
% 4.76/4.94 #||
% 4.76/4.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.76/4.94 % SZS output start Refutation
% See solution above
% 4.76/4.94 ||#
% 4.76/4.94
% 4.76/4.94 ; Summary of computation:
% 4.76/4.94 ; 8884 formulas have been input or derived (from 306 formulas).
% 4.76/4.94 ; 1092 (12%) were retained. Of these,
% 4.76/4.94 ; 18 ( 2%) were simplified or subsumed later,
% 4.76/4.94 ; 1074 (98%) are still being kept.
% 4.76/4.94 ;
% 4.76/4.94 ; Run time in seconds excluding printing time:
% 4.76/4.94 ; 0.004 0% Read assertion file (1 call)
% 4.76/4.94 ; 0.003 0% Assert (3 calls)
% 4.76/4.94 ; 0.078 2% Process new row (7,491 calls)
% 4.76/4.94 ; 4.248 95% Resolution (610 calls)
% 4.76/4.94 ; 0.001 0% Paramodulation (305 calls)
% 4.76/4.94 ; 0.002 0% Condensing (1,142 calls)
% 4.76/4.94 ; 0.030 1% Forward subsumption (1,142 calls)
% 4.76/4.94 ; 0.008 0% Backward subsumption (290 calls)
% 4.76/4.94 ; 0.002 0% Clause clause subsumption (1,248 calls)
% 4.76/4.94 ; 0.038 1% Forward simplification (7,487 calls)
% 4.76/4.94 ; 0.008 0% Backward simplification (1,092 calls)
% 4.76/4.94 ; 0.002 0% Ordering (581 calls)
% 4.76/4.94 ; 0.001 0% Sortal reasoning (32 calls)
% 4.76/4.94 ; 0.000 0% Purity testing (1 call)
% 4.76/4.94 ; 0.042 1% Other
% 4.76/4.94 ; 4.467 Total
% 4.76/4.94 ; 4.469 Real time
% 4.76/4.94 ;
% 4.76/4.94 ; Term-hash-array has 1,247 terms in all.
% 4.76/4.94 ; Feature-vector-row-index has 272 entries (275 at peak, 290 added, 18 deleted).
% 4.76/4.94 ; Feature-vector-row-index has 1,147 nodes (1,159 at peak, 1,228 added, 81 deleted).
% 4.76/4.94 ; Retrieved 1,713 possibly forward subsuming rows in 1,142 calls.
% 4.76/4.94 ; Retrieved 78 possibly backward subsumed rows in 290 calls.
% 4.76/4.94 ; Path-index has 1,243 entries (1,243 at peak, 1,255 added, 12 deleted).
% 4.76/4.94 ; Path-index has 1,155 nodes (1,155 at peak, 1,167 added, 12 deleted).
% 4.76/4.94 ; Trie-index has 1,243 entries (1,243 at peak, 1,255 added, 12 deleted).
% 4.76/4.94 ; Trie-index has 2,510 nodes (2,510 at peak, 2,535 added, 25 deleted).
% 4.76/4.94 ; Retrieved 8,848 generalization terms in 9,417 calls.
% 4.76/4.94 ; Retrieved 801 instance terms in 801 calls.
% 4.76/4.94 ; Retrieved 6,288,295 unifiable terms in 1,318,843 calls.
% 4.76/4.94 ;
% 4.76/4.94 ; The agenda of rows to process has 71 entries:
% 4.76/4.94 ; 17 with value 17 54 with value 18
% 4.76/4.94 ; The agenda of rows to give has 768 entries:
% 4.76/4.94 ; 52 with value (4 13) 7 with value (4 19) 24 with value (4 25)
% 4.76/4.94 ; 53 with value (4 14) 36 with value (4 20) 12 with value (4 26)
% 4.76/4.94 ; 40 with value (4 15) 6 with value (4 21) 24 with value (4 27)
% 4.76/4.94 ; 112 with value (4 16) 15 with value (4 22) 35 with value (4 28)
% 4.76/4.94 ; 138 with value (4 17) 27 with value (4 23) 14 with value (4 29)
% 4.76/4.94 ; 134 with value (4 18) 39 with value (4 24)
% 4.76/4.94 Evaluation took:
% 4.76/4.94 4.47 seconds of real time
% 4.76/4.94 4.402828 seconds of user run time
% 4.76/4.94 0.067081 seconds of system run time
% 4.76/4.94 [Run times include 0.149 seconds GC run time.]
% 4.76/4.94 0 calls to %EVAL
% 4.76/4.94 0 page faults and
% 4.76/4.94 484,805,912 bytes consed.
% 4.76/4.94 :PROOF-FOUND
% 4.76/4.94 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T09:38:25
% 4.76/4.94 :PROOF-FOUND
% 4.76/4.94 *
%------------------------------------------------------------------------------