%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO009+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 17:53:18 EDT 2022
% Result : Theorem 0.39s 0.61s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 30 ( 15 unt; 3 nHn; 30 RR)
% Number of literals : 59 ( 2 equ; 30 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(23,axiom,
( ~ min_precedes(X,Y,Z)
| root('SKOLEMAAAR5'(Z,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
cnf(24,axiom,
( ~ min_precedes(X,Y,Z)
| min_precedes('SKOLEMAAAR5'(Z,Y),Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
cnf(25,axiom,
( ~ min_precedes(X,Y,Z)
| ~ root(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
cnf(36,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
cnf(54,axiom,
( ~ min_precedes(X,Y,Z)
| ~ occurrence_of(U,Z)
| ~ subactivity_occurrence(Y,U)
| subactivity_occurrence(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
cnf(64,axiom,
( ~ leaf_occ(X,Y)
| subactivity_occurrence(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
cnf(81,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ leaf_occ(U,X)
| ~ subactivity_occurrence(V,X)
| ~ min_precedes(V,U,Y)
| V = Z
| min_precedes(Z,V,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
cnf(83,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAR17'(X),tptp3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(84,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAR17'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(87,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAR19'(X),tptp2)
| occurrence_of('SKOLEMAAAR19'(X),tptp1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(88,axiom,
( ~ occurrence_of(X,tptp0)
| next_subocc('SKOLEMAAAR18'(X),'SKOLEMAAAR19'(X),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(89,axiom,
( ~ occurrence_of(X,tptp0)
| leaf_occ('SKOLEMAAAR19'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(102,negated_conjecture,
occurrence_of('SKOLEMAAAR20',tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(103,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAR20')
| ~ occurrence_of(Y,tptp2)
| ~ min_precedes(X,Y,tptp0)
| ~ leaf_occ(Y,'SKOLEMAAAR20') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(104,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAR20')
| ~ occurrence_of(Y,tptp1)
| ~ min_precedes(X,Y,tptp0)
| ~ leaf_occ(Y,'SKOLEMAAAR20') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(112,plain,
occurrence_of('SKOLEMAAAR17'('SKOLEMAAAR20'),tptp3),
inference('HYPERRESOLVE',[status(thm)],[83,102]) ).
cnf(113,plain,
root_occ('SKOLEMAAAR17'('SKOLEMAAAR20'),'SKOLEMAAAR20'),
inference('HYPERRESOLVE',[status(thm)],[84,102]) ).
cnf(115,plain,
leaf_occ('SKOLEMAAAR19'('SKOLEMAAAR20'),'SKOLEMAAAR20'),
inference('HYPERRESOLVE',[status(thm)],[89,102]) ).
cnf(117,plain,
next_subocc('SKOLEMAAAR18'('SKOLEMAAAR20'),'SKOLEMAAAR19'('SKOLEMAAAR20'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[88,102]) ).
cnf(120,plain,
( occurrence_of('SKOLEMAAAR19'('SKOLEMAAAR20'),tptp2)
| occurrence_of('SKOLEMAAAR19'('SKOLEMAAAR20'),tptp1) ),
inference('HYPERRESOLVE',[status(thm)],[87,102]) ).
cnf(156,plain,
subactivity_occurrence('SKOLEMAAAR19'('SKOLEMAAAR20'),'SKOLEMAAAR20'),
inference('HYPERRESOLVE',[status(thm)],[64,115]) ).
cnf(198,plain,
min_precedes('SKOLEMAAAR18'('SKOLEMAAAR20'),'SKOLEMAAAR19'('SKOLEMAAAR20'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[36,117]) ).
cnf(251,plain,
root('SKOLEMAAAR5'(tptp0,'SKOLEMAAAR19'('SKOLEMAAAR20')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[23,198]) ).
cnf(253,plain,
min_precedes('SKOLEMAAAR5'(tptp0,'SKOLEMAAAR19'('SKOLEMAAAR20')),'SKOLEMAAAR19'('SKOLEMAAAR20'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[24,198]) ).
cnf(346,plain,
~ min_precedes(X,'SKOLEMAAAR5'(tptp0,'SKOLEMAAAR19'('SKOLEMAAAR20')),tptp0),
inference('UR-RESOLVE',[status(thm)],[25,251]) ).
cnf(556,plain,
subactivity_occurrence('SKOLEMAAAR5'(tptp0,'SKOLEMAAAR19'('SKOLEMAAAR20')),'SKOLEMAAAR20'),
inference('HYPERRESOLVE',[status(thm)],[54,253,102,156]) ).
cnf(576,plain,
'SKOLEMAAAR5'(tptp0,'SKOLEMAAAR19'('SKOLEMAAAR20')) = 'SKOLEMAAAR17'('SKOLEMAAAR20'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[81,556,102,113,115,253]),346]) ).
cnf(577,plain,
min_precedes('SKOLEMAAAR17'('SKOLEMAAAR20'),'SKOLEMAAAR19'('SKOLEMAAAR20'),tptp0),
inference('REWRITE',[status(thm)],[253,576,theory(equality)]) ).
cnf(588,plain,
occurrence_of('SKOLEMAAAR19'('SKOLEMAAAR20'),tptp1),
inference('HYPERRESOLVE',[status(thm)],[103,577,112,113,120,115]) ).
cnf(589,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[104,577,112,113,115]),588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : PRO009+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jun 13 01:41:26 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.38 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 *
% 0.14/0.39 *
% 0.14/0.39 #<PACKAGE "SNARK-USER">
% 0.14/0.39 *
% 0.14/0.39 SNARK-TPTP-OPTIONS
% 0.14/0.39 *
% 0.14/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39 (USE-FACTORING :POS)
% 0.14/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39 *
% 0.14/0.39 "."
% 0.14/0.39 *
% 0.14/0.39 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T01:41:26
% 0.14/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-13T01:41:26
% 0.39/0.61
% 0.39/0.61
% 0.39/0.61 #||
% 0.39/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61 % SZS output start Refutation
% See solution above
% 0.46/0.63 ||#
% 0.46/0.63
% 0.46/0.63 ; Summary of computation:
% 0.46/0.63 ; 1634 formulas have been input or derived (from 298 formulas).
% 0.46/0.63 ; 589 (36%) were retained. Of these,
% 0.46/0.63 ; 120 (20%) were simplified or subsumed later,
% 0.46/0.63 ; 469 (80%) are still being kept.
% 0.46/0.63 ;
% 0.46/0.63 ; Run time in seconds excluding printing time:
% 0.46/0.63 ; 0.014 6% Read assertion file (1 call)
% 0.46/0.63 ; 0.004 2% Assert (63 calls)
% 0.46/0.63 ; 0.041 19% Process new row (1,295 calls)
% 0.46/0.63 ; 0.095 43% Resolution (594 calls)
% 0.46/0.63 ; 0.004 2% Paramodulation (297 calls)
% 0.46/0.63 ; 0.000 0% Factoring (5 calls)
% 0.46/0.63 ; 0.001 0% Condensing (158 calls)
% 0.46/0.63 ; 0.007 3% Forward subsumption (158 calls)
% 0.46/0.63 ; 0.003 1% Backward subsumption (150 calls)
% 0.46/0.63 ; 0.000 0% Clause clause subsumption (45 calls)
% 0.46/0.63 ; 0.013 6% Forward simplification (1,202 calls)
% 0.46/0.63 ; 0.009 4% Backward simplification (589 calls)
% 0.46/0.63 ; 0.000 0% Ordering (110 calls)
% 0.46/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.63 ; 0.001 0% Purity testing (1 call)
% 0.46/0.63 ; 0.028 13% Other
% 0.46/0.63 ; 0.220 Total
% 0.46/0.63 ; 0.236 Real time
% 0.46/0.63 ;
% 0.46/0.63 ; Term-hash-array has 784 terms in all.
% 0.46/0.63 ; Feature-vector-row-index has 131 entries (141 at peak, 150 added, 19 deleted).
% 0.46/0.63 ; Feature-vector-row-index has 643 nodes (724 at peak, 803 added, 160 deleted).
% 0.46/0.63 ; Retrieved 70 possibly forward subsuming rows in 158 calls.
% 0.46/0.63 ; Retrieved 23 possibly backward subsumed rows in 150 calls.
% 0.46/0.63 ; Path-index has 651 entries (686 at peak, 798 added, 147 deleted).
% 0.46/0.63 ; Path-index has 2,133 nodes (2,209 at peak, 2,371 added, 238 deleted).
% 0.46/0.63 ; Trie-index has 651 entries (686 at peak, 798 added, 147 deleted).
% 0.46/0.63 ; Trie-index has 2,434 nodes (2,647 at peak, 3,092 added, 658 deleted).
% 0.46/0.63 ; Retrieved 602 generalization terms in 1,291 calls.
% 0.46/0.63 ; Retrieved 444 instance terms in 438 calls.
% 0.46/0.63 ; Retrieved 64,776 unifiable terms in 13,217 calls.
% 0.46/0.63 ;
% 0.46/0.63 ; The agenda of rows to process has 56 entries:
% 0.46/0.63 ; 1 with value 10 3 with value 14 2 with value 19
% 0.46/0.63 ; 10 with value 11 10 with value 15 1 with value 21
% 0.46/0.63 ; 12 with value 12 12 with value 16 2 with value 25
% 0.46/0.63 ; 1 with value 13 2 with value 17
% 0.46/0.63 ; The agenda of rows to give has 204 entries:
% 0.46/0.63 ; 1 with value (4 7) 6 with value (4 22) 2 with value (4 32)
% 0.46/0.63 ; 1 with value (4 10) 2 with value (4 23) 2 with value (4 33)
% 0.46/0.63 ; 26 with value (4 14) 5 with value (4 24) 2 with value (4 34)
% 0.46/0.63 ; 42 with value (4 15) 1 with value (4 25) 3 with value (4 35)
% 0.46/0.63 ; 25 with value (4 16) 2 with value (4 26) 2 with value (4 38)
% 0.46/0.63 ; 20 with value (4 17) 2 with value (4 27) 2 with value (4 39)
% 0.46/0.63 ; 19 with value (4 18) 2 with value (4 28) 2 with value (4 40)
% 0.46/0.63 ; 10 with value (4 19) 4 with value (4 29) 2 with value (4 41)
% 0.46/0.63 ; 7 with value (4 20) 3 with value (4 30) 4 with value (4 44)
% 0.46/0.63 ; 4 with value (4 21) 1 with value (4 31)
% 0.46/0.63 Evaluation took:
% 0.46/0.63 0.237 seconds of real time
% 0.46/0.63 0.218267 seconds of user run time
% 0.46/0.63 0.017883 seconds of system run time
% 0.46/0.63 [Run times include 0.012 seconds GC run time.]
% 0.46/0.63 0 calls to %EVAL
% 0.46/0.63 0 page faults and
% 0.46/0.63 13,695,816 bytes consed.
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T01:41:26
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 *
%------------------------------------------------------------------------------