TSTP Solution File: LCL654+1.001 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL654+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 14:24:27 EDT 2022
% Result : Theorem 7.51s 7.75s
% Output : Refutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 23 ( 9 unt; 10 nHn; 22 RR)
% Number of literals : 60 ( 0 equ; 28 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
cnf(4,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(Z,'SKOLEMAAAV3'(Z))
| ~ r1(Y,U)
| p1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(5,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| ~ r1(Y,Z)
| ~ p1('SKOLEMAAAV3'(Z))
| ~ r1(Y,U)
| p1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(6,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| r1(Y,'SKOLEMAAAV4'(Y))
| ~ r1(X,Z)
| r1(Z,'SKOLEMAAAV5'(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(7,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| r1(Y,'SKOLEMAAAV4'(Y))
| ~ r1(X,Z)
| ~ p1('SKOLEMAAAV5'(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(8,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| ~ r1('SKOLEMAAAV4'(Y),Z)
| p1(Z)
| ~ r1(X,U)
| r1(U,'SKOLEMAAAV5'(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(9,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ r1(X,Y)
| ~ r1('SKOLEMAAAV4'(Y),Z)
| p1(Z)
| ~ r1(X,U)
| ~ p1('SKOLEMAAAV5'(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(11,negated_conjecture,
r1('SKOLEMAAAV1','SKOLEMAAAV7'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(12,negated_conjecture,
r1('SKOLEMAAAV7','SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(13,negated_conjecture,
r1('SKOLEMAAAV8','SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(14,negated_conjecture,
~ p1('SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(15,negated_conjecture,
( ~ r1('SKOLEMAAAV7',X)
| p1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
cnf(24,plain,
( r1('SKOLEMAAAV8','SKOLEMAAAV4'('SKOLEMAAAV8'))
| r1('SKOLEMAAAV7','SKOLEMAAAV5'('SKOLEMAAAV7')) ),
inference('HYPERRESOLVE',[status(thm)],[6,11,12,1]) ).
cnf(217,plain,
( r1('SKOLEMAAAV8','SKOLEMAAAV4'('SKOLEMAAAV8'))
| p1('SKOLEMAAAV5'('SKOLEMAAAV7')) ),
inference('HYPERRESOLVE',[status(thm)],[15,24]) ).
cnf(316,plain,
( p1('SKOLEMAAAV5'('SKOLEMAAAV7'))
| r1('SKOLEMAAAV4'('SKOLEMAAAV8'),'SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV8'))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,217,11,12,13]),14]) ).
cnf(741,plain,
( p1('SKOLEMAAAV5'('SKOLEMAAAV7'))
| p1('SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV8')))
| r1('SKOLEMAAAV7','SKOLEMAAAV5'('SKOLEMAAAV7')) ),
inference('HYPERRESOLVE',[status(thm)],[8,316,11,12,1]) ).
cnf(1724,plain,
( p1('SKOLEMAAAV5'('SKOLEMAAAV7'))
| p1('SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV8'))) ),
inference('HYPERRESOLVE',[status(thm)],[15,741]) ).
cnf(1725,plain,
( p1('SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV8')))
| r1('SKOLEMAAAV8','SKOLEMAAAV4'('SKOLEMAAAV8')) ),
inference('HYPERRESOLVE',[status(thm)],[7,1724,11,12,1]) ).
cnf(1748,plain,
( p1('SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV8')))
| r1('SKOLEMAAAV4'('SKOLEMAAAV8'),'SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV8'))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,1725,11,12,13]),14]) ).
cnf(2225,plain,
p1('SKOLEMAAAV3'('SKOLEMAAAV4'('SKOLEMAAAV8'))),
inference('HYPERRESOLVE',[status(thm)],[9,1748,11,12,1,1724]) ).
cnf(2226,plain,
~ r1('SKOLEMAAAV8','SKOLEMAAAV4'('SKOLEMAAAV8')),
inference('UR-RESOLVE',[status(thm)],[5,2225,11,12,13,14]) ).
cnf(2232,plain,
p1('SKOLEMAAAV5'('SKOLEMAAAV7')),
inference('REWRITE',[status(thm)],[217,2226]) ).
cnf(2258,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,2232,11,12,1]),2226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL654+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n026.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 Jul 3 06:33:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/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 *
% 0.19/0.48 ((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/sandbox/benchmark/theBenchmark.p 2022-07-03T06:33:36
% 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 2022-07-03T06:33:36
% 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 ?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 ?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.
% 7.51/7.75
% 7.51/7.75
% 7.51/7.75 #||
% 7.51/7.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.51/7.75 % SZS output start Refutation
% See solution above
% 7.51/7.75 ||#
% 7.51/7.75
% 7.51/7.75 ; Summary of computation:
% 7.51/7.75 ; 27232 formulas have been input or derived (from 321 formulas).
% 7.51/7.75 ; 2258 ( 8%) were retained. Of these,
% 7.51/7.75 ; 1158 (51%) were simplified or subsumed later,
% 7.51/7.75 ; 1100 (49%) are still being kept.
% 7.51/7.75 ;
% 7.51/7.75 ; Run time in seconds excluding printing time:
% 7.51/7.75 ; 0.003 0% Read assertion file (1 call)
% 7.51/7.75 ; 0.002 0% Assert (2 calls)
% 7.51/7.75 ; 0.217 3% Process new row (25,260 calls)
% 7.51/7.75 ; 0.427 6% Resolution (640 calls)
% 7.51/7.75 ; 0.004 0% Paramodulation (320 calls)
% 7.51/7.75 ; 0.001 0% Factoring (253 calls)
% 7.51/7.75 ; 0.022 0% Condensing (17,908 calls)
% 7.51/7.75 ; 5.808 80% Forward subsumption (17,908 calls)
% 7.51/7.75 ; 0.082 1% Backward subsumption (2,189 calls)
% 7.51/7.75 ; 0.189 3% Clause clause subsumption (107,631 calls)
% 7.51/7.75 ; 0.367 5% Forward simplification (22,640 calls)
% 7.51/7.75 ; 0.031 0% Backward simplification (2,258 calls)
% 7.51/7.75 ; 0.020 0% Ordering (7,108 calls)
% 7.51/7.75 ; 0.000 0% Sortal reasoning (32 calls)
% 7.51/7.75 ; 0.000 0% Purity testing (1 call)
% 7.51/7.75 ; 0.100 1% Other
% 7.51/7.75 ; 7.273 Total
% 7.51/7.75 ; 7.276 Real time
% 7.51/7.75 ;
% 7.51/7.75 ; Term-hash-array has 457 terms in all.
% 7.51/7.75 ; Feature-vector-row-index has 1,031 entries (1,714 at peak, 2,189 added, 1,158 deleted).
% 7.51/7.75 ; Feature-vector-row-index has 5,703 nodes (10,490 at peak, 13,083 added, 7,380 deleted).
% 7.51/7.75 ; Retrieved 402,251 possibly forward subsuming rows in 17,908 calls.
% 7.51/7.75 ; Retrieved 2,349 possibly backward subsumed rows in 2,189 calls.
% 7.51/7.75 ; Path-index has 428 entries (460 at peak, 526 added, 98 deleted).
% 7.51/7.75 ; Path-index has 814 nodes (850 at peak, 930 added, 116 deleted).
% 7.51/7.75 ; Trie-index has 428 entries (460 at peak, 526 added, 98 deleted).
% 7.51/7.75 ; Trie-index has 1,065 nodes (1,155 at peak, 1,317 added, 252 deleted).
% 7.51/7.75 ; Retrieved 49,250 generalization terms in 100,300 calls.
% 7.51/7.75 ; Retrieved 68 instance terms in 68 calls.
% 7.51/7.75 ; Retrieved 256,511 unifiable terms in 58,049 calls.
% 7.51/7.75 ;
% 7.51/7.75 ; The agenda of rows to process has 111 entries:
% 7.51/7.75 ; 8 with value 9 4 with value 15 6 with value 21
% 7.51/7.75 ; 16 with value 10 2 with value 16 7 with value 22
% 7.51/7.75 ; 4 with value 11 3 with value 17 9 with value 23
% 7.51/7.75 ; 21 with value 12 2 with value 18 1 with value 24
% 7.51/7.75 ; 8 with value 13 3 with value 19 6 with value 25
% 7.51/7.75 ; 7 with value 14 3 with value 20 1 with value 27
% 7.51/7.75 ; The agenda of rows to give has 939 entries:
% 7.51/7.75 ; 2 with value (4 9) 34 with value (4 25) 51 with value (4 36)
% 7.51/7.75 ; 4 with value (4 11) 34 with value (4 26) 36 with value (4 37)
% 7.51/7.75 ; 1 with value (4 12) 37 with value (4 27) 61 with value (4 38)
% 7.51/7.75 ; 3 with value (4 15) 47 with value (4 28) 30 with value (4 39)
% 7.51/7.75 ; 2 with value (4 17) 41 with value (4 29) 23 with value (4 40)
% 7.51/7.75 ; 2 with value (4 19) 65 with value (4 30) 21 with value (4 41)
% 7.51/7.75 ; 1 with value (4 20) 52 with value (4 31) 6 with value (4 42)
% 7.51/7.75 ; 1 with value (4 21) 75 with value (4 32) 9 with value (4 43)
% 7.51/7.75 ; 4 with value (4 22) 75 with value (4 33) 8 with value (4 44)
% 7.51/7.75 ; 4 with value (4 23) 74 with value (4 34) 4 with value (4 45)
% 7.51/7.75 ; 30 with value (4 24) 98 with value (4 35) 4 with value (4 46)
% 7.51/7.75 Evaluation took:
% 7.51/7.75 7.277 seconds of real time
% 7.51/7.75 6.949807 seconds of user run time
% 7.51/7.75 0.326017 seconds of system run time
% 7.51/7.75 [Run times include 0.364 seconds GC run time.]
% 7.51/7.75 0 calls to %EVAL
% 7.51/7.75 0 page faults and
% 7.51/7.75 989,959,032 bytes consed.
% 7.51/7.75 :PROOF-FOUND
% 7.51/7.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T06:33:43
% 7.51/7.75 :PROOF-FOUND
% 7.51/7.75 *
%------------------------------------------------------------------------------