%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM013+1 : 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 01:42:41 EDT 2022
% Result : Theorem 0.50s 0.68s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 27 ( 16 unt; 1 nHn; 27 RR)
% Number of literals : 69 ( 1 equ; 45 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aReductOfIn0(Z,X,Y)
| aElement0(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).
cnf(5,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| sdtmndtplgtdt0(X,Y,Z)
| ~ aReductOfIn0(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
cnf(9,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| sdtmndtasgtdt0(X,Y,Z)
| X != Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
cnf(10,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| sdtmndtasgtdt0(X,Y,Z)
| ~ sdtmndtplgtdt0(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
cnf(11,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| ~ aElement0(U)
| ~ sdtmndtasgtdt0(X,Y,Z)
| ~ sdtmndtasgtdt0(Z,Y,U)
| sdtmndtasgtdt0(X,Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).
cnf(30,axiom,
( ~ aRewritingSystem0(X)
| ~ isTerminating0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| ~ sdtmndtplgtdt0(Y,X,Z)
| iLess0(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermin) ).
cnf(35,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aNormalFormOfIn0(Z,X,Y)
| aElement0(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
cnf(36,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aNormalFormOfIn0(Z,X,Y)
| sdtmndtasgtdt0(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
cnf(37,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aNormalFormOfIn0(Z,X,Y)
| ~ aReductOfIn0(U,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
cnf(38,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| aNormalFormOfIn0(Z,X,Y)
| ~ aElement0(Z)
| ~ sdtmndtasgtdt0(X,Y,Z)
| aReductOfIn0('SKOLEMAAAV12'(Z,Y),Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
cnf(39,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__587) ).
cnf(40,hypothesis,
isTerminating0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__587) ).
cnf(41,negated_conjecture,
aElement0('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(42,negated_conjecture,
( ~ aElement0(X)
| ~ iLess0(X,'SKOLEMAAAV13')
| aNormalFormOfIn0('SKOLEMAAAV14'(X),X,xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(43,negated_conjecture,
~ aNormalFormOfIn0(X,'SKOLEMAAAV13',xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(55,plain,
sdtmndtasgtdt0('SKOLEMAAAV13',xR,'SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[9,41,39,41,theory(equality)]) ).
cnf(57,plain,
aReductOfIn0('SKOLEMAAAV12'('SKOLEMAAAV13',xR),'SKOLEMAAAV13',xR),
inference('UR-RESOLVE',[status(thm)],[38,55,41,39,43,41]) ).
cnf(65,plain,
aElement0('SKOLEMAAAV12'('SKOLEMAAAV13',xR)),
inference('HYPERRESOLVE',[status(thm)],[1,57,41,39]) ).
cnf(66,plain,
sdtmndtplgtdt0('SKOLEMAAAV13',xR,'SKOLEMAAAV12'('SKOLEMAAAV13',xR)),
inference('HYPERRESOLVE',[status(thm)],[5,65,41,39,57]) ).
cnf(76,plain,
iLess0('SKOLEMAAAV12'('SKOLEMAAAV13',xR),'SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[30,66,39,40,41,65]) ).
cnf(77,plain,
sdtmndtasgtdt0('SKOLEMAAAV13',xR,'SKOLEMAAAV12'('SKOLEMAAAV13',xR)),
inference('HYPERRESOLVE',[status(thm)],[10,66,41,39,65]) ).
cnf(79,plain,
aNormalFormOfIn0('SKOLEMAAAV14'('SKOLEMAAAV12'('SKOLEMAAAV13',xR)),'SKOLEMAAAV12'('SKOLEMAAAV13',xR),xR),
inference('HYPERRESOLVE',[status(thm)],[42,76,65]) ).
cnf(156,plain,
aElement0('SKOLEMAAAV14'('SKOLEMAAAV12'('SKOLEMAAAV13',xR))),
inference('HYPERRESOLVE',[status(thm)],[35,79,65,39]) ).
cnf(157,plain,
~ aReductOfIn0(X,'SKOLEMAAAV14'('SKOLEMAAAV12'('SKOLEMAAAV13',xR)),xR),
inference('UR-RESOLVE',[status(thm)],[37,79,65,39]) ).
cnf(158,plain,
sdtmndtasgtdt0('SKOLEMAAAV12'('SKOLEMAAAV13',xR),xR,'SKOLEMAAAV14'('SKOLEMAAAV12'('SKOLEMAAAV13',xR))),
inference('HYPERRESOLVE',[status(thm)],[36,79,65,39]) ).
cnf(162,plain,
~ sdtmndtasgtdt0('SKOLEMAAAV13',xR,'SKOLEMAAAV14'('SKOLEMAAAV12'('SKOLEMAAAV13',xR))),
inference('UR-RESOLVE',[status(thm)],[38,157,41,39,43,156]) ).
cnf(167,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,162,41,39,65,156,77]),158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : COM013+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 17:08:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T17:08:54
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-16T17:08:54
% 0.50/0.68
% 0.50/0.68
% 0.50/0.68 #||
% 0.50/0.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.68 % SZS output start Refutation
% See solution above
% 0.50/0.68 ||#
% 0.50/0.68
% 0.50/0.68 ; Summary of computation:
% 0.50/0.68 ; 1544 formulas have been input or derived (from 79 formulas).
% 0.50/0.68 ; 167 (11%) were retained. Of these,
% 0.50/0.68 ; 167 (100%) are still being kept.
% 0.50/0.68 ;
% 0.50/0.68 ; Run time in seconds excluding printing time:
% 0.50/0.68 ; 0.005 2% Read assertion file (1 call)
% 0.50/0.68 ; 0.002 1% Assert (15 calls)
% 0.50/0.68 ; 0.017 8% Process new row (547 calls)
% 0.50/0.68 ; 0.111 51% Resolution (156 calls)
% 0.50/0.68 ; 0.000 0% Paramodulation (78 calls)
% 0.50/0.68 ; 0.000 0% Factoring (16 calls)
% 0.50/0.68 ; 0.002 1% Condensing (492 calls)
% 0.50/0.68 ; 0.037 17% Forward subsumption (492 calls)
% 0.50/0.68 ; 0.001 0% Backward subsumption (136 calls)
% 0.50/0.68 ; 0.004 2% Clause clause subsumption (2,346 calls)
% 0.50/0.68 ; 0.008 4% Forward simplification (547 calls)
% 0.50/0.68 ; 0.001 0% Backward simplification (167 calls)
% 0.50/0.68 ; 0.000 0% Ordering (192 calls)
% 0.50/0.68 ; 0.001 0% Sortal reasoning (32 calls)
% 0.50/0.68 ; 0.001 0% Purity testing (1 call)
% 0.50/0.68 ; 0.026 12% Other
% 0.50/0.68 ; 0.216 Total
% 0.50/0.68 ; 0.219 Real time
% 0.50/0.68 ;
% 0.50/0.68 ; Term-hash-array has 162 terms in all.
% 0.50/0.68 ; Feature-vector-row-index has 136 entries (136 at peak, 136 added, 0 deleted).
% 0.50/0.68 ; Feature-vector-row-index has 500 nodes (500 at peak, 500 added, 0 deleted).
% 0.50/0.68 ; Retrieved 3,744 possibly forward subsuming rows in 492 calls.
% 0.50/0.68 ; Retrieved 30 possibly backward subsumed rows in 136 calls.
% 0.50/0.68 ; Path-index has 164 entries (164 at peak, 164 added, 0 deleted).
% 0.50/0.68 ; Path-index has 498 nodes (498 at peak, 498 added, 0 deleted).
% 0.50/0.68 ; Trie-index has 164 entries (164 at peak, 164 added, 0 deleted).
% 0.50/0.68 ; Trie-index has 524 nodes (524 at peak, 524 added, 0 deleted).
% 0.50/0.68 ; Retrieved 34 generalization terms in 1,320 calls.
% 0.50/0.68 ; Retrieved 30 instance terms in 30 calls.
% 0.50/0.68 ; Retrieved 89,370 unifiable terms in 14,125 calls.
% 0.50/0.68 ;
% 0.50/0.68 ; The agenda of rows to give has 88 entries:
% 0.50/0.68 ; 1 with value (4 18) 3 with value (4 22) 6 with value (4 27)
% 0.50/0.68 ; 9 with value (4 19) 12 with value (4 23) 6 with value (4 28)
% 0.50/0.68 ; 4 with value (4 20) 12 with value (4 24) 6 with value (4 29)
% 0.50/0.68 ; 17 with value (4 21) 12 with value (4 25)
% 0.50/0.68 Evaluation took:
% 0.50/0.68 0.219 seconds of real time
% 0.50/0.68 0.202225 seconds of user run time
% 0.50/0.68 0.017048 seconds of system run time
% 0.50/0.68 [Run times include 0.006 seconds GC run time.]
% 0.50/0.68 0 calls to %EVAL
% 0.50/0.68 0 page faults and
% 0.50/0.68 19,685,216 bytes consed.
% 0.50/0.68 :PROOF-FOUND
% 0.50/0.68 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T17:08:55
% 0.50/0.68 :PROOF-FOUND
% 0.50/0.68 *
%------------------------------------------------------------------------------