%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 01:42:45 EDT 2022
% Result : Theorem 25.59s 25.78s
% Output : Refutation 25.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 19
% Syntax : Number of clauses : 28 ( 19 unt; 0 nHn; 28 RR)
% Number of literals : 69 ( 0 equ; 42 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| sdtmndtplgtdt0(X,Y,Z)
| ~ aReductOfIn0(Z,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',mTermin) ).
cnf(35,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aNormalFormOfIn0(Z,X,Y)
| aElement0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
cnf(36,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aNormalFormOfIn0(Z,X,Y)
| sdtmndtasgtdt0(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
cnf(40,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
cnf(42,hypothesis,
isTerminating0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
cnf(43,hypothesis,
aElement0(xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
cnf(44,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
cnf(46,hypothesis,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| ~ sdtmndtasgtdt0(X,xR,Y)
| ~ sdtmndtasgtdt0(X,xR,Z)
| ~ iLess0(X,xa)
| aElement0('SKOLEMAAAV14'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
cnf(47,hypothesis,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| ~ sdtmndtasgtdt0(X,xR,Y)
| ~ sdtmndtasgtdt0(X,xR,Z)
| ~ iLess0(X,xa)
| sdtmndtasgtdt0(Y,xR,'SKOLEMAAAV14'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
cnf(48,hypothesis,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| ~ sdtmndtasgtdt0(X,xR,Y)
| ~ sdtmndtasgtdt0(X,xR,Z)
| ~ iLess0(X,xa)
| sdtmndtasgtdt0(Z,xR,'SKOLEMAAAV14'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
cnf(51,hypothesis,
aElement0(xu),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
cnf(52,hypothesis,
aReductOfIn0(xu,xa,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
cnf(53,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
cnf(57,hypothesis,
aElement0(xw),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
cnf(58,hypothesis,
sdtmndtasgtdt0(xu,xR,xw),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
cnf(60,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
cnf(61,negated_conjecture,
( ~ aElement0(X)
| ~ sdtmndtasgtdt0(xb,xR,X)
| ~ sdtmndtasgtdt0(xd,xR,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(67,plain,
aElement0(xd),
inference('HYPERRESOLVE',[status(thm)],[35,57,40,60]) ).
cnf(68,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference('HYPERRESOLVE',[status(thm)],[36,57,40,60]) ).
cnf(89,plain,
sdtmndtplgtdt0(xa,xR,xu),
inference('HYPERRESOLVE',[status(thm)],[5,43,40,51,52]) ).
cnf(122,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference('HYPERRESOLVE',[status(thm)],[11,68,51,40,57,67,58]) ).
cnf(144,plain,
iLess0(xu,xa),
inference('HYPERRESOLVE',[status(thm)],[30,89,40,42,43,51]) ).
cnf(216,plain,
aElement0('SKOLEMAAAV14'(xd,xb)),
inference('HYPERRESOLVE',[status(thm)],[46,122,51,67,44,53,144]) ).
cnf(220,plain,
sdtmndtasgtdt0(xb,xR,'SKOLEMAAAV14'(xd,xb)),
inference('HYPERRESOLVE',[status(thm)],[48,122,51,67,44,53,144]) ).
cnf(222,plain,
sdtmndtasgtdt0(xd,xR,'SKOLEMAAAV14'(xd,xb)),
inference('HYPERRESOLVE',[status(thm)],[47,122,51,67,44,53,144]) ).
cnf(8059,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[61,220,216]),222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 20:03:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T20:03:06
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-16T20:03:06
% 25.59/25.78
% 25.59/25.78
% 25.59/25.78 #||
% 25.59/25.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.59/25.78 % SZS output start Refutation
% See solution above
% 25.59/25.78 ||#
% 25.59/25.78
% 25.59/25.78 ; Summary of computation:
% 25.59/25.78 ; 14227 formulas have been input or derived (from 262 formulas).
% 25.59/25.78 ; 8059 (57%) were retained. Of these,
% 25.59/25.78 ; 899 (11%) were simplified or subsumed later,
% 25.59/25.78 ; 7160 (89%) are still being kept.
% 25.59/25.78 ;
% 25.59/25.78 ; Run time in seconds excluding printing time:
% 25.59/25.78 ; 0.007 0% Read assertion file (1 call)
% 25.59/25.78 ; 0.001 0% Assert (24 calls)
% 25.59/25.78 ; 0.475 2% Process new row (13,549 calls)
% 25.59/25.78 ; 23.802 94% Resolution (522 calls)
% 25.59/25.78 ; 0.004 0% Paramodulation (261 calls)
% 25.59/25.78 ; 0.000 0% Factoring (10 calls)
% 25.59/25.78 ; 0.034 0% Condensing (7,968 calls)
% 25.59/25.78 ; 0.462 2% Forward subsumption (7,968 calls)
% 25.59/25.78 ; 0.168 1% Backward subsumption (5,871 calls)
% 25.59/25.78 ; 0.072 0% Clause clause subsumption (30,433 calls)
% 25.59/25.78 ; 0.130 1% Forward simplification (13,255 calls)
% 25.59/25.78 ; 0.044 0% Backward simplification (8,059 calls)
% 25.59/25.78 ; 0.015 0% Ordering (11,809 calls)
% 25.59/25.78 ; 0.001 0% Sortal reasoning (32 calls)
% 25.59/25.78 ; 0.001 0% Purity testing (1 call)
% 25.59/25.78 ; 0.076 0% Other
% 25.59/25.78 ; 25.292 Total
% 25.59/25.78 ; 25.294 Real time
% 25.59/25.78 ;
% 25.59/25.78 ; Term-hash-array has 5,631 terms in all.
% 25.59/25.78 ; Feature-vector-row-index has 5,269 entries (5,590 at peak, 5,871 added, 602 deleted).
% 25.59/25.78 ; Feature-vector-row-index has 11,140 nodes (11,945 at peak, 12,748 added, 1,608 deleted).
% 25.59/25.78 ; Retrieved 25,377 possibly forward subsuming rows in 7,968 calls.
% 25.59/25.78 ; Retrieved 9,767 possibly backward subsumed rows in 5,871 calls.
% 25.59/25.78 ; Path-index has 4,996 entries (5,253 at peak, 5,641 added, 645 deleted).
% 25.59/25.78 ; Path-index has 1,271 nodes (1,271 at peak, 1,317 added, 46 deleted).
% 25.59/25.78 ; Trie-index has 4,996 entries (5,253 at peak, 5,641 added, 645 deleted).
% 25.59/25.78 ; Trie-index has 12,729 nodes (13,393 at peak, 14,277 added, 1,548 deleted).
% 25.59/25.78 ; Retrieved 3,176 generalization terms in 23,709 calls.
% 25.59/25.78 ; Retrieved 2,187 instance terms in 2,187 calls.
% 25.59/25.78 ; Retrieved 32,052,298 unifiable terms in 5,733,543 calls.
% 25.59/25.78 ;
% 25.59/25.78 ; The agenda of rows to process has 247 entries:
% 25.59/25.78 ; 9 with value 13 63 with value 19 6 with value 23
% 25.59/25.78 ; 32 with value 15 48 with value 21 85 with value 25
% 25.59/25.78 ; 4 with value 17
% 25.59/25.78 ; The agenda of rows to give has 6915 entries:
% 25.59/25.78 ; 101 with value (4 11) 239 with value (4 17) 468 with value (4 23)
% 25.59/25.78 ; 118 with value (4 12) 305 with value (4 18) 74 with value (4 24)
% 25.59/25.78 ; 234 with value (4 13) 708 with value (4 19) 1348 with value (4 25)
% 25.59/25.78 ; 299 with value (4 14) 331 with value (4 20) 312 with value (4 26)
% 25.59/25.78 ; 360 with value (4 15) 1232 with value (4 21) 198 with value (4 27)
% 25.59/25.78 ; 276 with value (4 16) 312 with value (4 22)
% 25.59/25.78 Evaluation took:
% 25.59/25.78 25.296 seconds of real time
% 25.59/25.78 25.046888 seconds of user run time
% 25.59/25.78 0.248947 seconds of system run time
% 25.59/25.78 [Run times include 0.827 seconds GC run time.]
% 25.59/25.78 0 calls to %EVAL
% 25.59/25.78 0 page faults and
% 25.59/25.78 2,563,664,504 bytes consed.
% 25.59/25.78 :PROOF-FOUND
% 25.59/25.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T20:03:31
% 25.59/25.78 :PROOF-FOUND
% 25.59/25.78 *
%------------------------------------------------------------------------------