%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO018+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 : Mon Jul 18 17:53:25 EDT 2022
% Result : Theorem 20.07s 20.24s
% Output : Refutation 20.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of clauses : 46 ( 27 unt; 7 nHn; 46 RR)
% Number of literals : 92 ( 7 equ; 47 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ occurrence_of(X,Y)
| ~ occurrence_of(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
cnf(11,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
cnf(14,axiom,
( ~ precedes(X,Y)
| earlier(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
cnf(15,axiom,
( ~ precedes(X,Y)
| legal(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
cnf(16,axiom,
( precedes(X,Y)
| ~ earlier(X,Y)
| ~ legal(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
cnf(26,axiom,
( ~ min_precedes(X,Y,Z)
| precedes(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
cnf(29,axiom,
( ~ min_precedes(X,Y,Z)
| ~ min_precedes(X,U,Z)
| ~ precedes(Y,U)
| min_precedes(Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
cnf(36,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
cnf(37,axiom,
( ~ next_subocc(X,Y,Z)
| ~ min_precedes(X,U,Z)
| ~ min_precedes(U,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
cnf(46,axiom,
( ~ min_precedes(X,Y,Z)
| occurrence_of('SKOLEMAAAV10'(Z,X,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
cnf(47,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(X,'SKOLEMAAAV10'(Z,X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
cnf(69,axiom,
( ~ occurrence_of(X,Y)
| ~ leaf_occ(Z,X)
| ~ min_precedes(Z,U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
cnf(83,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| occurrence_of('SKOLEMAAAV17'(Y),tptp3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(84,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| next_subocc(Y,'SKOLEMAAAV17'(Y),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(85,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| occurrence_of('SKOLEMAAAV18'(Y),tptp4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(86,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| min_precedes('SKOLEMAAAV17'(Y),'SKOLEMAAAV18'(Y),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(88,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| min_precedes('SKOLEMAAAV18'(Y),'SKOLEMAAAV19'(Y),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(89,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| ~ min_precedes('SKOLEMAAAV17'(Y),Z,tptp0)
| Z = 'SKOLEMAAAV18'(Y)
| Z = 'SKOLEMAAAV19'(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(95,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).
cnf(96,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_56) ).
cnf(102,negated_conjecture,
occurrence_of('SKOLEMAAAV21',tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(103,negated_conjecture,
subactivity_occurrence('SKOLEMAAAV20','SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(104,negated_conjecture,
arboreal('SKOLEMAAAV20'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(105,negated_conjecture,
~ leaf_occ('SKOLEMAAAV20','SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(130,plain,
occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV20'),tptp3),
inference('UR-RESOLVE',[status(thm)],[83,102,103,104,105]) ).
cnf(131,plain,
occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV20'),tptp4),
inference('UR-RESOLVE',[status(thm)],[85,102,103,104,105]) ).
cnf(133,plain,
min_precedes('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV18'('SKOLEMAAAV20'),tptp0),
inference('UR-RESOLVE',[status(thm)],[86,102,103,104,105]) ).
cnf(134,plain,
min_precedes('SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20'),tptp0),
inference('UR-RESOLVE',[status(thm)],[88,102,103,104,105]) ).
cnf(156,plain,
arboreal('SKOLEMAAAV17'('SKOLEMAAAV20')),
inference('HYPERRESOLVE',[status(thm)],[11,130,95]) ).
cnf(212,plain,
occurrence_of('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV18'('SKOLEMAAAV20')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[46,133]) ).
cnf(217,plain,
subactivity_occurrence('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV18'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[47,133]) ).
cnf(228,plain,
precedes('SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20')),
inference('HYPERRESOLVE',[status(thm)],[26,134]) ).
cnf(277,plain,
earlier('SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20')),
inference('HYPERRESOLVE',[status(thm)],[14,228]) ).
cnf(429,plain,
~ leaf_occ('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV18'('SKOLEMAAAV20'))),
inference('UR-RESOLVE',[status(thm)],[69,212,133]) ).
cnf(709,plain,
occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,217,212,156]),429]) ).
cnf(710,plain,
next_subocc('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[84,217,212,156]),429]) ).
cnf(733,plain,
~ occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp4),
inference('UR-RESOLVE',[status(thm)],[5,709,96]) ).
cnf(758,plain,
min_precedes('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[36,710]) ).
cnf(759,plain,
~ min_precedes('SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp0),
inference('UR-RESOLVE',[status(thm)],[37,710,133]) ).
cnf(1037,plain,
precedes('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[26,758]) ).
cnf(1056,plain,
( 'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20')) = 'SKOLEMAAAV18'('SKOLEMAAAV20')
| 'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20')) = 'SKOLEMAAAV19'('SKOLEMAAAV20') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[89,758,102,103,104]),105]) ).
cnf(1057,plain,
~ precedes('SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20'))),
inference('UR-RESOLVE',[status(thm)],[29,759,133,758]) ).
cnf(1120,plain,
legal('SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[15,1037]) ).
cnf(1130,plain,
~ earlier('SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20'))),
inference('UR-RESOLVE',[status(thm)],[16,1057,1120]) ).
cnf(15451,plain,
'SKOLEMAAAV17'('SKOLEMAAAV17'('SKOLEMAAAV20')) = 'SKOLEMAAAV18'('SKOLEMAAAV20'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[277,1056,theory(equality)]),1130]) ).
cnf(15452,plain,
$false,
inference('REWRITE',[status(thm)],[131,733,15451,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : PRO018+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.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 : Mon Jun 13 03:14:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T03:14:38
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-13T03:14:38
% 20.07/20.24
% 20.07/20.24
% 20.07/20.24 #||
% 20.07/20.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.07/20.24 % SZS output start Refutation
% See solution above
% 20.07/20.27 ||#
% 20.07/20.27
% 20.07/20.27 ; Summary of computation:
% 20.07/20.27 ; 50353 formulas have been input or derived (from 4544 formulas).
% 20.07/20.27 ; 15452 (31%) were retained. Of these,
% 20.07/20.27 ; 9884 (64%) were simplified or subsumed later,
% 20.07/20.27 ; 5568 (36%) are still being kept.
% 20.07/20.27 ;
% 20.07/20.27 ; Run time in seconds excluding printing time:
% 20.07/20.27 ; 0.016 0% Read assertion file (1 call)
% 20.07/20.27 ; 0.006 0% Assert (63 calls)
% 20.07/20.27 ; 1.009 5% Process new row (37,207 calls)
% 20.07/20.27 ; 16.203 82% Resolution (9,086 calls)
% 20.07/20.27 ; 0.087 0% Paramodulation (4,543 calls)
% 20.07/20.27 ; 0.000 0% Factoring (145 calls)
% 20.07/20.27 ; 0.005 0% Condensing (3,705 calls)
% 20.07/20.27 ; 0.938 5% Forward subsumption (3,705 calls)
% 20.07/20.27 ; 0.131 1% Backward subsumption (2,830 calls)
% 20.07/20.27 ; 0.012 0% Clause clause subsumption (4,885 calls)
% 20.07/20.27 ; 0.411 2% Forward simplification (36,608 calls)
% 20.07/20.27 ; 0.723 4% Backward simplification (15,452 calls)
% 20.07/20.27 ; 0.027 0% Ordering (31,334 calls)
% 20.07/20.27 ; 0.000 0% Sortal reasoning (32 calls)
% 20.07/20.27 ; 0.000 0% Purity testing (1 call)
% 20.07/20.27 ; 0.207 1% Other
% 20.07/20.27 ; 19.775 Total
% 20.07/20.27 ; 19.813 Real time
% 20.07/20.27 ;
% 20.07/20.27 ; Term-hash-array has 20,050 terms in all.
% 20.07/20.27 ; Feature-vector-row-index has 1,206 entries (2,484 at peak, 2,830 added, 1,624 deleted).
% 20.07/20.27 ; Feature-vector-row-index has 13,151 nodes (27,242 at peak, 31,390 added, 18,239 deleted).
% 20.07/20.27 ; Retrieved 5,724 possibly forward subsuming rows in 3,705 calls.
% 20.07/20.27 ; Retrieved 419 possibly backward subsumed rows in 2,830 calls.
% 20.07/20.27 ; Path-index has 7,287 entries (17,431 at peak, 20,098 added, 12,811 deleted).
% 20.07/20.27 ; Path-index has 15,426 nodes (17,608 at peak, 18,676 added, 3,250 deleted).
% 20.07/20.27 ; Trie-index has 7,287 entries (17,431 at peak, 20,098 added, 12,811 deleted).
% 20.07/20.27 ; Trie-index has 35,583 nodes (77,486 at peak, 89,711 added, 54,128 deleted).
% 20.07/20.27 ; Retrieved 21,141 generalization terms in 70,320 calls.
% 20.07/20.27 ; Retrieved 12,851 instance terms in 12,621 calls.
% 20.07/20.27 ; Retrieved 14,559,408 unifiable terms in 2,698,182 calls.
% 20.07/20.27 ;
% 20.07/20.27 ; The agenda of backward simplifiable rows to process has 7784 entries:
% 20.07/20.27 ; 7784 with value 0
% 20.07/20.27 ; The agenda of rows to process has 555 entries:
% 20.07/20.27 ; 1 with value 24 52 with value 30 10 with value 35
% 20.07/20.27 ; 7 with value 25 69 with value 31 19 with value 36
% 20.07/20.27 ; 6 with value 26 107 with value 32 2 with value 37
% 20.07/20.27 ; 18 with value 27 147 with value 33 1 with value 40
% 20.07/20.27 ; 26 with value 28 60 with value 34 1 with value 41
% 20.07/20.27 ; 29 with value 29
% 20.07/20.27 ; The agenda of rows to give has 3495 entries:
% 20.07/20.27 ; 1 with value (4 15) 26 with value (4 38) 30 with value (4 54)
% 20.07/20.27 ; 561 with value (4 23) 16 with value (4 39) 28 with value (4 55)
% 20.07/20.27 ; 409 with value (4 24) 16 with value (4 40) 39 with value (4 56)
% 20.07/20.27 ; 347 with value (4 25) 25 with value (4 41) 43 with value (4 57)
% 20.07/20.27 ; 324 with value (4 26) 26 with value (4 42) 42 with value (4 58)
% 20.07/20.27 ; 234 with value (4 27) 19 with value (4 43) 19 with value (4 59)
% 20.07/20.27 ; 251 with value (4 28) 16 with value (4 44) 28 with value (4 60)
% 20.07/20.27 ; 224 with value (4 29) 17 with value (4 45) 10 with value (4 61)
% 20.07/20.27 ; 135 with value (4 30) 23 with value (4 46) 9 with value (4 62)
% 20.07/20.27 ; 185 with value (4 31) 21 with value (4 47) 2 with value (4 63)
% 20.07/20.27 ; 67 with value (4 32) 28 with value (4 48) 20 with value (4 64)
% 20.07/20.27 ; 35 with value (4 33) 10 with value (4 49) 4 with value (4 65)
% 20.07/20.27 ; 30 with value (4 34) 16 with value (4 50) 14 with value (4 66)
% 20.07/20.27 ; 27 with value (4 35) 26 with value (4 51) 5 with value (4 67)
% 20.07/20.27 ; 19 with value (4 36) 21 with value (4 52) 2 with value (4 69)
% 20.07/20.27 ; 20 with value (4 37) 21 with value (4 53) 4 with value (4 70)
% 20.07/20.27 Evaluation took:
% 20.07/20.27 19.815 seconds of real time
% 20.07/20.27 19.224833 seconds of user run time
% 20.07/20.27 0.586296 seconds of system run time
% 20.07/20.27 [Run times include 2.915 seconds GC run time.]
% 20.07/20.27 0 calls to %EVAL
% 20.07/20.27 0 page faults and
% 20.07/20.27 1,739,761,144 bytes consed.
% 20.07/20.27 :PROOF-FOUND
% 20.07/20.27 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T03:14:58
% 20.07/20.27 :PROOF-FOUND
% 20.07/20.27 *
%------------------------------------------------------------------------------