%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : Fri Jul 15 01:42:42 EDT 2022
% Result : Theorem 0.44s 0.62s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 12 unt; 2 nHn; 21 RR)
% Number of literals : 43 ( 4 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aReductOfIn0(Z,X,Y)
| aElement0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
cnf(39,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__587) ).
cnf(40,hypothesis,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aReductOfIn0(Y,X,xR)
| iLess0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__587) ).
cnf(44,negated_conjecture,
aElement0('SKOLEMAAAV13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(45,negated_conjecture,
( ~ aElement0(X)
| ~ iLess0(X,'SKOLEMAAAV13')
| aElement0('SKOLEMAAAV14'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(49,negated_conjecture,
( ~ aElement0(X)
| ~ iLess0(X,'SKOLEMAAAV13')
| X = 'SKOLEMAAAV14'(X)
| sdtmndtplgtdt0(X,xR,'SKOLEMAAAV14'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(51,negated_conjecture,
( ~ aElement0(X)
| ~ iLess0(X,'SKOLEMAAAV13')
| ~ aReductOfIn0(Y,'SKOLEMAAAV14'(X),xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(53,negated_conjecture,
( ~ aElement0(X)
| 'SKOLEMAAAV13' != X
| aReductOfIn0('SKOLEMAAAV16'(X),X,xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(54,negated_conjecture,
( ~ aElement0(X)
| ~ aReductOfIn0(X,'SKOLEMAAAV13',xR)
| aReductOfIn0('SKOLEMAAAV16'(X),X,xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(55,negated_conjecture,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aReductOfIn0(Y,'SKOLEMAAAV13',xR)
| ~ sdtmndtplgtdt0(Y,xR,X)
| aReductOfIn0('SKOLEMAAAV16'(X),X,xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(70,plain,
aReductOfIn0('SKOLEMAAAV16'('SKOLEMAAAV13'),'SKOLEMAAAV13',xR),
inference('HYPERRESOLVE',[status(thm)],[53,44,theory(equality)]) ).
cnf(75,plain,
aElement0('SKOLEMAAAV16'('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[1,70,44,39]) ).
cnf(76,plain,
iLess0('SKOLEMAAAV16'('SKOLEMAAAV13'),'SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[40,75,44,70]) ).
cnf(81,plain,
aReductOfIn0('SKOLEMAAAV16'('SKOLEMAAAV16'('SKOLEMAAAV13')),'SKOLEMAAAV16'('SKOLEMAAAV13'),xR),
inference('HYPERRESOLVE',[status(thm)],[54,75,70]) ).
cnf(94,plain,
aElement0('SKOLEMAAAV14'('SKOLEMAAAV16'('SKOLEMAAAV13'))),
inference('HYPERRESOLVE',[status(thm)],[45,76,75]) ).
cnf(95,plain,
~ aReductOfIn0(X,'SKOLEMAAAV14'('SKOLEMAAAV16'('SKOLEMAAAV13')),xR),
inference('UR-RESOLVE',[status(thm)],[51,76,75]) ).
cnf(98,plain,
( 'SKOLEMAAAV16'('SKOLEMAAAV13') = 'SKOLEMAAAV14'('SKOLEMAAAV16'('SKOLEMAAAV13'))
| sdtmndtplgtdt0('SKOLEMAAAV16'('SKOLEMAAAV13'),xR,'SKOLEMAAAV14'('SKOLEMAAAV16'('SKOLEMAAAV13'))) ),
inference('HYPERRESOLVE',[status(thm)],[49,76,75]) ).
cnf(195,plain,
~ sdtmndtplgtdt0('SKOLEMAAAV16'('SKOLEMAAAV13'),xR,'SKOLEMAAAV14'('SKOLEMAAAV16'('SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[55,95,94,75,70]) ).
cnf(196,plain,
'SKOLEMAAAV16'('SKOLEMAAAV13') = 'SKOLEMAAAV14'('SKOLEMAAAV16'('SKOLEMAAAV13')),
inference('REWRITE',[status(thm)],[98,195]) ).
cnf(197,plain,
~ aReductOfIn0(X,'SKOLEMAAAV16'('SKOLEMAAAV13'),xR),
inference('REWRITE',[status(thm)],[95,196,theory(equality)]) ).
cnf(198,plain,
$false,
inference('REWRITE',[status(thm)],[81,197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 Jun 16 17:10:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:10:39
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-16T17:10:39
% 0.44/0.62
% 0.44/0.62
% 0.44/0.62 #||
% 0.44/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.62 % SZS output start Refutation
% See solution above
% 0.44/0.63 ||#
% 0.44/0.63
% 0.44/0.63 ; Summary of computation:
% 0.44/0.63 ; 376 formulas have been input or derived (from 93 formulas).
% 0.44/0.63 ; 198 (53%) were retained. Of these,
% 0.44/0.63 ; 22 (11%) were simplified or subsumed later,
% 0.44/0.63 ; 176 (89%) are still being kept.
% 0.44/0.63 ;
% 0.44/0.63 ; Run time in seconds excluding printing time:
% 0.44/0.63 ; 0.006 4% Read assertion file (1 call)
% 0.44/0.63 ; 0.002 1% Assert (15 calls)
% 0.44/0.63 ; 0.013 8% Process new row (296 calls)
% 0.44/0.63 ; 0.093 60% Resolution (184 calls)
% 0.44/0.63 ; 0.000 0% Paramodulation (92 calls)
% 0.44/0.63 ; 0.000 0% Factoring (10 calls)
% 0.44/0.63 ; 0.000 0% Condensing (193 calls)
% 0.44/0.63 ; 0.008 5% Forward subsumption (193 calls)
% 0.44/0.63 ; 0.001 1% Backward subsumption (139 calls)
% 0.44/0.63 ; 0.000 0% Clause clause subsumption (124 calls)
% 0.44/0.63 ; 0.002 1% Forward simplification (296 calls)
% 0.44/0.63 ; 0.002 1% Backward simplification (198 calls)
% 0.44/0.63 ; 0.000 0% Ordering (156 calls)
% 0.44/0.63 ; 0.001 1% Sortal reasoning (32 calls)
% 0.44/0.63 ; 0.000 0% Purity testing (1 call)
% 0.44/0.63 ; 0.027 17% Other
% 0.44/0.63 ; 0.155 Total
% 0.44/0.63 ; 0.161 Real time
% 0.44/0.63 ;
% 0.44/0.63 ; Term-hash-array has 219 terms in all.
% 0.44/0.63 ; Feature-vector-row-index has 134 entries (138 at peak, 139 added, 5 deleted).
% 0.44/0.63 ; Feature-vector-row-index has 534 nodes (575 at peak, 587 added, 53 deleted).
% 0.44/0.63 ; Retrieved 120 possibly forward subsuming rows in 193 calls.
% 0.44/0.63 ; Retrieved 30 possibly backward subsumed rows in 139 calls.
% 0.44/0.63 ; Path-index has 198 entries (220 at peak, 222 added, 24 deleted).
% 0.44/0.63 ; Path-index has 514 nodes (530 at peak, 531 added, 17 deleted).
% 0.44/0.63 ; Trie-index has 198 entries (220 at peak, 222 added, 24 deleted).
% 0.44/0.63 ; Trie-index has 565 nodes (648 at peak, 656 added, 91 deleted).
% 0.46/0.63 ; Retrieved 44 generalization terms in 380 calls.
% 0.46/0.63 ; Retrieved 61 instance terms in 58 calls.
% 0.46/0.63 ; Retrieved 103,796 unifiable terms in 15,427 calls.
% 0.46/0.63 ;
% 0.46/0.63 ; The agenda of backward simplifiable rows to process has 14 entries:
% 0.46/0.63 ; 14 with value 0
% 0.46/0.63 ; The agenda of rows to process has 7 entries:
% 0.46/0.63 ; 7 with value 16
% 0.46/0.63 ; The agenda of rows to give has 87 entries:
% 0.46/0.63 ; 1 with value (4 11) 9 with value (4 19) 3 with value (4 25)
% 0.46/0.63 ; 5 with value (4 13) 6 with value (4 20) 3 with value (4 27)
% 0.46/0.63 ; 7 with value (4 14) 12 with value (4 21) 1 with value (4 28)
% 0.46/0.63 ; 3 with value (4 15) 9 with value (4 22) 1 with value (4 36)
% 0.46/0.63 ; 5 with value (4 16) 9 with value (4 23) 1 with value (4 40)
% 0.46/0.63 ; 2 with value (4 17) 6 with value (4 24) 1 with value (4 41)
% 0.46/0.63 ; 3 with value (4 18)
% 0.46/0.63 Evaluation took:
% 0.46/0.63 0.161 seconds of real time
% 0.46/0.63 0.153425 seconds of user run time
% 0.46/0.63 0.007965 seconds of system run time
% 0.46/0.63 [Run times include 0.005 seconds GC run time.]
% 0.46/0.63 0 calls to %EVAL
% 0.46/0.63 0 page faults and
% 0.46/0.63 14,037,992 bytes consed.
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:10:40
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 *
%------------------------------------------------------------------------------