%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 17:53:20 EDT 2022
% Result : Theorem 0.71s 0.88s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of clauses : 48 ( 26 unt; 3 nHn; 48 RR)
% Number of literals : 85 ( 4 equ; 38 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 49 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ occurrence_of(X,Y)
| ~ occurrence_of(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(11,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
cnf(12,axiom,
( ~ legal(X)
| arboreal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
cnf(23,axiom,
( ~ min_precedes(X,Y,Z)
| root('SKOLEMAAAV5'(Z,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
cnf(24,axiom,
( ~ min_precedes(X,Y,Z)
| min_precedes('SKOLEMAAAV5'(Z,Y),Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
cnf(25,axiom,
( ~ min_precedes(X,Y,Z)
| ~ root(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
cnf(27,axiom,
( ~ root(X,Y)
| legal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
cnf(46,axiom,
( ~ min_precedes(X,Y,Z)
| occurrence_of('SKOLEMAAAV10'(Z,X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(47,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(X,'SKOLEMAAAV10'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(48,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(Y,'SKOLEMAAAV10'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(53,axiom,
( ~ occurrence_of(X,Y)
| ~ arboreal(Z)
| ~ arboreal(U)
| ~ subactivity_occurrence(Z,X)
| ~ subactivity_occurrence(U,X)
| min_precedes(Z,U,Y)
| min_precedes(U,Z,Y)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
cnf(54,axiom,
( ~ min_precedes(X,Y,Z)
| ~ occurrence_of(U,Z)
| ~ subactivity_occurrence(Y,U)
| subactivity_occurrence(X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
cnf(59,axiom,
( ~ root_occ(X,Y)
| occurrence_of(Y,'SKOLEMAAAV14'(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
cnf(61,axiom,
( ~ root_occ(X,Y)
| root(X,'SKOLEMAAAV14'(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
cnf(67,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV16'(X),tptp3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(68,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAV16'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(70,axiom,
( ~ occurrence_of(X,tptp0)
| min_precedes('SKOLEMAAAV16'(X),'SKOLEMAAAV17'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(71,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV18'(X),tptp2)
| occurrence_of('SKOLEMAAAV18'(X),tptp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(72,axiom,
( ~ occurrence_of(X,tptp0)
| min_precedes('SKOLEMAAAV17'(X),'SKOLEMAAAV18'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(79,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).
cnf(86,negated_conjecture,
occurrence_of('SKOLEMAAAV19',tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(87,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAV19')
| ~ occurrence_of(Y,tptp2)
| ~ min_precedes(X,Y,tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(88,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAV19')
| ~ occurrence_of(Y,tptp1)
| ~ min_precedes(X,Y,tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(96,plain,
occurrence_of('SKOLEMAAAV16'('SKOLEMAAAV19'),tptp3),
inference('HYPERRESOLVE',[status(thm)],[67,86]) ).
cnf(97,plain,
root_occ('SKOLEMAAAV16'('SKOLEMAAAV19'),'SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[68,86]) ).
cnf(99,plain,
min_precedes('SKOLEMAAAV16'('SKOLEMAAAV19'),'SKOLEMAAAV17'('SKOLEMAAAV19'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[70,86]) ).
cnf(100,plain,
min_precedes('SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[72,86]) ).
cnf(103,plain,
( occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp2)
| occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp1) ),
inference('HYPERRESOLVE',[status(thm)],[71,86]) ).
cnf(119,plain,
arboreal('SKOLEMAAAV16'('SKOLEMAAAV19')),
inference('HYPERRESOLVE',[status(thm)],[11,96,79]) ).
cnf(126,plain,
occurrence_of('SKOLEMAAAV19','SKOLEMAAAV14'('SKOLEMAAAV19','SKOLEMAAAV16'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[59,97]) ).
cnf(127,plain,
root('SKOLEMAAAV16'('SKOLEMAAAV19'),'SKOLEMAAAV14'('SKOLEMAAAV19','SKOLEMAAAV16'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[61,97]) ).
cnf(187,plain,
root('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[23,100]) ).
cnf(188,plain,
occurrence_of('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[46,100]) ).
cnf(189,plain,
min_precedes('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')),'SKOLEMAAAV18'('SKOLEMAAAV19'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[24,100]) ).
cnf(192,plain,
subactivity_occurrence('SKOLEMAAAV18'('SKOLEMAAAV19'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[48,100]) ).
cnf(193,plain,
subactivity_occurrence('SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[47,100]) ).
cnf(239,plain,
'SKOLEMAAAV14'('SKOLEMAAAV19','SKOLEMAAAV16'('SKOLEMAAAV19')) = tptp0,
inference('HYPERRESOLVE',[status(thm)],[5,126,86]) ).
cnf(240,plain,
root('SKOLEMAAAV16'('SKOLEMAAAV19'),tptp0),
inference('REWRITE',[status(thm)],[127,239,theory(equality)]) ).
cnf(241,plain,
~ min_precedes(X,'SKOLEMAAAV16'('SKOLEMAAAV19'),tptp0),
inference('UR-RESOLVE',[status(thm)],[25,240]) ).
cnf(259,plain,
legal('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[27,187]) ).
cnf(260,plain,
~ min_precedes(X,'SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')),tptp0),
inference('UR-RESOLVE',[status(thm)],[25,187]) ).
cnf(296,plain,
arboreal('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[12,259]) ).
cnf(507,plain,
subactivity_occurrence('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[54,192,189,188]) ).
cnf(508,plain,
subactivity_occurrence('SKOLEMAAAV16'('SKOLEMAAAV19'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[54,193,99,188]) ).
cnf(991,plain,
'SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')) = 'SKOLEMAAAV16'('SKOLEMAAAV19'),
inference('UR-RESOLVE',[status(thm)],[53,507,188,296,119,508,241,260]) ).
cnf(992,plain,
min_precedes('SKOLEMAAAV16'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'),tptp0),
inference('REWRITE',[status(thm)],[189,991,theory(equality)]) ).
cnf(1031,plain,
occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp1),
inference('HYPERRESOLVE',[status(thm)],[87,992,96,97,103]) ).
cnf(1032,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[88,992,96,97]),1031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.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 : Mon Jun 13 01:00:44 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 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T01:00:44
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-13T01:00:44
% 0.71/0.88
% 0.71/0.88
% 0.71/0.88 #||
% 0.71/0.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.88 % SZS output start Refutation
% See solution above
% 0.71/0.89 ||#
% 0.71/0.89
% 0.71/0.89 ; Summary of computation:
% 0.71/0.89 ; 2459 formulas have been input or derived (from 450 formulas).
% 0.71/0.89 ; 1032 (42%) were retained. Of these,
% 0.71/0.89 ; 260 (25%) were simplified or subsumed later,
% 0.71/0.89 ; 772 (75%) are still being kept.
% 0.71/0.89 ;
% 0.71/0.89 ; Run time in seconds excluding printing time:
% 0.71/0.89 ; 0.011 3% Read assertion file (1 call)
% 0.71/0.89 ; 0.004 1% Assert (49 calls)
% 0.71/0.89 ; 0.078 19% Process new row (1,957 calls)
% 0.71/0.89 ; 0.223 54% Resolution (898 calls)
% 0.71/0.89 ; 0.003 1% Paramodulation (449 calls)
% 0.71/0.89 ; 0.000 0% Factoring (8 calls)
% 0.71/0.89 ; 0.002 0% Condensing (277 calls)
% 0.71/0.89 ; 0.019 5% Forward subsumption (277 calls)
% 0.71/0.89 ; 0.005 1% Backward subsumption (250 calls)
% 0.71/0.89 ; 0.002 0% Clause clause subsumption (72 calls)
% 0.71/0.89 ; 0.015 4% Forward simplification (1,902 calls)
% 0.71/0.89 ; 0.015 4% Backward simplification (1,032 calls)
% 0.71/0.89 ; 0.000 0% Ordering (227 calls)
% 0.71/0.89 ; 0.001 0% Sortal reasoning (32 calls)
% 0.71/0.89 ; 0.000 0% Purity testing (1 call)
% 0.71/0.89 ; 0.036 9% Other
% 0.71/0.89 ; 0.414 Total
% 0.71/0.89 ; 0.418 Real time
% 0.71/0.89 ;
% 0.71/0.89 ; Term-hash-array has 1,470 terms in all.
% 0.71/0.89 ; Feature-vector-row-index has 196 entries (223 at peak, 250 added, 54 deleted).
% 0.71/0.89 ; Feature-vector-row-index has 1,604 nodes (2,020 at peak, 2,242 added, 638 deleted).
% 0.71/0.89 ; Retrieved 74 possibly forward subsuming rows in 277 calls.
% 0.71/0.89 ; Retrieved 17 possibly backward subsumed rows in 250 calls.
% 0.71/0.89 ; Path-index has 1,135 entries (1,270 at peak, 1,486 added, 351 deleted).
% 0.71/0.89 ; Path-index has 4,062 nodes (4,219 at peak, 4,383 added, 321 deleted).
% 0.71/0.89 ; Trie-index has 1,135 entries (1,270 at peak, 1,486 added, 351 deleted).
% 0.71/0.89 ; Trie-index has 5,423 nodes (6,309 at peak, 7,177 added, 1,754 deleted).
% 0.71/0.89 ; Retrieved 853 generalization terms in 2,460 calls.
% 0.71/0.89 ; Retrieved 792 instance terms in 781 calls.
% 0.71/0.89 ; Retrieved 166,216 unifiable terms in 35,849 calls.
% 0.71/0.89 ;
% 0.71/0.89 ; The agenda of rows to process has 37 entries:
% 0.71/0.89 ; 1 with value 9 1 with value 13 1 with value 17
% 0.71/0.89 ; 1 with value 10 10 with value 14 1 with value 20
% 0.71/0.89 ; 7 with value 11 10 with value 15 2 with value 24
% 0.71/0.89 ; 1 with value 12 2 with value 16
% 0.71/0.89 ; The agenda of rows to give has 404 entries:
% 0.71/0.89 ; 1 with value (4 6) 9 with value (4 26) 5 with value (4 39)
% 0.71/0.89 ; 1 with value (4 9) 3 with value (4 27) 2 with value (4 40)
% 0.71/0.89 ; 5 with value (4 14) 11 with value (4 28) 6 with value (4 41)
% 0.71/0.89 ; 5 with value (4 15) 7 with value (4 29) 2 with value (4 42)
% 0.71/0.89 ; 2 with value (4 16) 4 with value (4 30) 6 with value (4 43)
% 0.71/0.89 ; 61 with value (4 17) 3 with value (4 31) 7 with value (4 44)
% 0.71/0.89 ; 37 with value (4 18) 5 with value (4 32) 4 with value (4 45)
% 0.71/0.89 ; 39 with value (4 19) 3 with value (4 33) 4 with value (4 47)
% 0.71/0.89 ; 23 with value (4 20) 2 with value (4 34) 2 with value (4 48)
% 0.71/0.89 ; 20 with value (4 21) 7 with value (4 35) 6 with value (4 50)
% 0.71/0.89 ; 27 with value (4 22) 7 with value (4 36) 8 with value (4 51)
% 0.71/0.89 ; 22 with value (4 23) 5 with value (4 37) 6 with value (4 52)
% 0.71/0.89 ; 26 with value (4 24) 1 with value (4 38) 4 with value (4 56)
% 0.71/0.89 ; 6 with value (4 25)
% 0.71/0.89 Evaluation took:
% 0.71/0.89 0.419 seconds of real time
% 0.71/0.89 0.391722 seconds of user run time
% 0.71/0.89 0.027061 seconds of system run time
% 0.71/0.89 [Run times include 0.017 seconds GC run time.]
% 0.71/0.89 0 calls to %EVAL
% 0.71/0.89 0 page faults and
% 0.71/0.89 34,404,560 bytes consed.
% 0.71/0.89 :PROOF-FOUND
% 0.71/0.89 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T01:00:44
% 0.71/0.89 :PROOF-FOUND
% 0.71/0.89 *
%------------------------------------------------------------------------------