%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO009+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 17:53:17 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of clauses : 47 ( 25 unt; 3 nHn; 47 RR)
% Number of literals : 86 ( 4 equ; 40 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 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(36,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
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(60,axiom,
( ~ root_occ(X,Y)
| subactivity_occurrence(X,Y) ),
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(64,axiom,
( ~ leaf_occ(X,Y)
| subactivity_occurrence(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
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(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)
| next_subocc('SKOLEMAAAV17'(X),'SKOLEMAAAV18'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(73,axiom,
( ~ occurrence_of(X,tptp0)
| leaf_occ('SKOLEMAAAV18'(X),X) ),
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)
| ~ leaf_occ(Y,'SKOLEMAAAV19') ),
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)
| ~ leaf_occ(Y,'SKOLEMAAAV19') ),
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,
leaf_occ('SKOLEMAAAV18'('SKOLEMAAAV19'),'SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[73,86]) ).
cnf(101,plain,
next_subocc('SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[72,86]) ).
cnf(104,plain,
( occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp2)
| occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp1) ),
inference('HYPERRESOLVE',[status(thm)],[71,86]) ).
cnf(120,plain,
arboreal('SKOLEMAAAV16'('SKOLEMAAAV19')),
inference('HYPERRESOLVE',[status(thm)],[11,96,79]) ).
cnf(126,plain,
subactivity_occurrence('SKOLEMAAAV16'('SKOLEMAAAV19'),'SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[60,97]) ).
cnf(127,plain,
occurrence_of('SKOLEMAAAV19','SKOLEMAAAV14'('SKOLEMAAAV19','SKOLEMAAAV16'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[59,97]) ).
cnf(128,plain,
root('SKOLEMAAAV16'('SKOLEMAAAV19'),'SKOLEMAAAV14'('SKOLEMAAAV19','SKOLEMAAAV16'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[61,97]) ).
cnf(136,plain,
subactivity_occurrence('SKOLEMAAAV18'('SKOLEMAAAV19'),'SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[64,99]) ).
cnf(175,plain,
min_precedes('SKOLEMAAAV17'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[36,101]) ).
cnf(215,plain,
root('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[23,175]) ).
cnf(217,plain,
min_precedes('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')),'SKOLEMAAAV18'('SKOLEMAAAV19'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[24,175]) ).
cnf(241,plain,
'SKOLEMAAAV14'('SKOLEMAAAV19','SKOLEMAAAV16'('SKOLEMAAAV19')) = tptp0,
inference('HYPERRESOLVE',[status(thm)],[5,127,86]) ).
cnf(242,plain,
root('SKOLEMAAAV16'('SKOLEMAAAV19'),tptp0),
inference('REWRITE',[status(thm)],[128,241,theory(equality)]) ).
cnf(244,plain,
~ min_precedes(X,'SKOLEMAAAV16'('SKOLEMAAAV19'),tptp0),
inference('UR-RESOLVE',[status(thm)],[25,242]) ).
cnf(321,plain,
legal('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[27,215]) ).
cnf(322,plain,
~ min_precedes(X,'SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')),tptp0),
inference('UR-RESOLVE',[status(thm)],[25,215]) ).
cnf(348,plain,
arboreal('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[12,321]) ).
cnf(474,plain,
subactivity_occurrence('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')),'SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[54,217,86,136]) ).
cnf(490,plain,
'SKOLEMAAAV5'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV19')) = 'SKOLEMAAAV16'('SKOLEMAAAV19'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[53,474,86,348,120,126]),322,244]) ).
cnf(491,plain,
min_precedes('SKOLEMAAAV16'('SKOLEMAAAV19'),'SKOLEMAAAV18'('SKOLEMAAAV19'),tptp0),
inference('REWRITE',[status(thm)],[217,490,theory(equality)]) ).
cnf(502,plain,
occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV19'),tptp1),
inference('HYPERRESOLVE',[status(thm)],[87,491,96,97,104,99]) ).
cnf(503,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[88,491,96,97,99]),502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO009+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n010.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 : Mon Jun 13 03:30:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T03:30:10
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-13T03:30:10
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 #||
% 0.47/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 1314 formulas have been input or derived (from 269 formulas).
% 0.47/0.65 ; 503 (38%) were retained. Of these,
% 0.47/0.65 ; 123 (24%) were simplified or subsumed later,
% 0.47/0.65 ; 380 (76%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds excluding printing time:
% 0.47/0.65 ; 0.011 7% Read assertion file (1 call)
% 0.47/0.65 ; 0.003 2% Assert (49 calls)
% 0.47/0.65 ; 0.032 20% Process new row (1,035 calls)
% 0.47/0.65 ; 0.053 34% Resolution (536 calls)
% 0.47/0.65 ; 0.004 3% Paramodulation (268 calls)
% 0.47/0.65 ; 0.000 0% Factoring (5 calls)
% 0.47/0.65 ; 0.000 0% Condensing (131 calls)
% 0.47/0.65 ; 0.005 3% Forward subsumption (131 calls)
% 0.47/0.65 ; 0.000 0% Backward subsumption (126 calls)
% 0.47/0.65 ; 0.000 0% Clause clause subsumption (26 calls)
% 0.47/0.65 ; 0.014 9% Forward simplification (982 calls)
% 0.47/0.65 ; 0.006 4% Backward simplification (503 calls)
% 0.47/0.65 ; 0.001 1% Ordering (90 calls)
% 0.47/0.65 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.001 1% Purity testing (1 call)
% 0.47/0.65 ; 0.028 18% Other
% 0.47/0.65 ; 0.158 Total
% 0.47/0.65 ; 0.169 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 670 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 102 entries (113 at peak, 126 added, 24 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 499 nodes (592 at peak, 688 added, 189 deleted).
% 0.47/0.65 ; Retrieved 27 possibly forward subsuming rows in 131 calls.
% 0.47/0.65 ; Retrieved 17 possibly backward subsumed rows in 126 calls.
% 0.47/0.65 ; Path-index has 528 entries (560 at peak, 685 added, 157 deleted).
% 0.47/0.65 ; Path-index has 1,824 nodes (1,899 at peak, 2,066 added, 242 deleted).
% 0.47/0.65 ; Trie-index has 528 entries (560 at peak, 685 added, 157 deleted).
% 0.47/0.65 ; Trie-index has 1,915 nodes (2,110 at peak, 2,593 added, 678 deleted).
% 0.47/0.65 ; Retrieved 488 generalization terms in 1,088 calls.
% 0.47/0.65 ; Retrieved 386 instance terms in 376 calls.
% 0.47/0.65 ; Retrieved 41,600 unifiable terms in 9,768 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of rows to process has 43 entries:
% 0.47/0.65 ; 1 with value 10 1 with value 14 2 with value 17
% 0.47/0.65 ; 8 with value 11 8 with value 15 1 with value 21
% 0.47/0.65 ; 6 with value 12 8 with value 16 2 with value 25
% 0.47/0.65 ; 6 with value 13
% 0.47/0.65 ; The agenda of rows to give has 147 entries:
% 0.47/0.65 ; 1 with value (4 7) 2 with value (4 21) 3 with value (4 30)
% 0.47/0.65 ; 1 with value (4 10) 6 with value (4 22) 1 with value (4 31)
% 0.47/0.65 ; 24 with value (4 14) 2 with value (4 23) 1 with value (4 32)
% 0.47/0.65 ; 32 with value (4 15) 5 with value (4 24) 2 with value (4 33)
% 0.47/0.65 ; 12 with value (4 16) 1 with value (4 25) 2 with value (4 34)
% 0.47/0.65 ; 14 with value (4 17) 1 with value (4 27) 2 with value (4 38)
% 0.47/0.65 ; 13 with value (4 18) 1 with value (4 28) 2 with value (4 40)
% 0.47/0.65 ; 8 with value (4 19) 3 with value (4 29) 4 with value (4 44)
% 0.47/0.65 ; 4 with value (4 20)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.17 seconds of real time
% 0.47/0.65 0.15706 seconds of user run time
% 0.47/0.65 0.012809 seconds of system run time
% 0.47/0.65 [Run times include 0.008 seconds GC run time.]
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 12,639,176 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T03:30:10
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------