TSTP Solution File: PRO012+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO012+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 9 unt; 2 nHn; 18 RR)
% Number of literals : 33 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ min_precedes(X,Y,Z)
| ~ min_precedes(Y,U,Z)
| min_precedes(X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
cnf(64,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV15'(X),tptp3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(65,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAV15'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(67,axiom,
( ~ occurrence_of(X,tptp0)
| min_precedes('SKOLEMAAAV15'(X),'SKOLEMAAAV16'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(68,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV17'(X),tptp2)
| occurrence_of('SKOLEMAAAV17'(X),tptp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(69,axiom,
( ~ occurrence_of(X,tptp0)
| min_precedes('SKOLEMAAAV16'(X),'SKOLEMAAAV17'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(83,negated_conjecture,
occurrence_of('SKOLEMAAAV18',tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(84,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAV18')
| ~ occurrence_of(Y,tptp2)
| ~ min_precedes(X,Y,tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(85,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAV18')
| ~ occurrence_of(Y,tptp1)
| ~ min_precedes(X,Y,tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(89,plain,
occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV18'),tptp3),
inference('HYPERRESOLVE',[status(thm)],[64,83]) ).
cnf(90,plain,
root_occ('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[65,83]) ).
cnf(92,plain,
min_precedes('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV16'('SKOLEMAAAV18'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[67,83]) ).
cnf(93,plain,
min_precedes('SKOLEMAAAV16'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV18'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[69,83]) ).
cnf(96,plain,
( occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV18'),tptp2)
| occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV18'),tptp1) ),
inference('HYPERRESOLVE',[status(thm)],[68,83]) ).
cnf(170,plain,
min_precedes('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV18'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[1,93,92]) ).
cnf(209,plain,
~ occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV18'),tptp1),
inference('UR-RESOLVE',[status(thm)],[85,170,89,90]) ).
cnf(210,plain,
occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV18'),tptp2),
inference('REWRITE',[status(thm)],[96,209]) ).
cnf(211,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[84,170,89,90]),210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO012+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 03:21:19 EDT 2022
% 0.13/0.34 % 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 2022-06-13T03:21:19
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-13T03:21:19
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 419 formulas have been input or derived (from 152 formulas).
% 0.19/0.55 ; 211 (50%) were retained. Of these,
% 0.19/0.55 ; 18 ( 9%) were simplified or subsumed later,
% 0.19/0.55 ; 193 (91%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.010 14% Read assertion file (1 call)
% 0.19/0.55 ; 0.003 4% Assert (46 calls)
% 0.19/0.55 ; 0.017 23% Process new row (312 calls)
% 0.19/0.55 ; 0.016 22% Resolution (302 calls)
% 0.19/0.55 ; 0.000 0% Paramodulation (151 calls)
% 0.19/0.55 ; 0.001 1% Condensing (80 calls)
% 0.19/0.55 ; 0.000 0% Forward subsumption (80 calls)
% 0.19/0.55 ; 0.000 0% Backward subsumption (80 calls)
% 0.19/0.55 ; 0.000 0% Clause clause subsumption (11 calls)
% 0.19/0.55 ; 0.001 1% Forward simplification (299 calls)
% 0.19/0.55 ; 0.001 1% Backward simplification (211 calls)
% 0.19/0.55 ; 0.000 0% Ordering (23 calls)
% 0.19/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.025 34% Other
% 0.19/0.55 ; 0.074 Total
% 0.19/0.55 ; 0.078 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 274 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 77 entries (79 at peak, 80 added, 3 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 221 nodes (236 at peak, 243 added, 22 deleted).
% 0.19/0.55 ; Retrieved 12 possibly forward subsuming rows in 80 calls.
% 0.19/0.55 ; Retrieved 7 possibly backward subsumed rows in 80 calls.
% 0.19/0.55 ; Path-index has 260 entries (260 at peak, 283 added, 23 deleted).
% 0.19/0.55 ; Path-index has 716 nodes (716 at peak, 764 added, 48 deleted).
% 0.19/0.55 ; Trie-index has 260 entries (260 at peak, 283 added, 23 deleted).
% 0.19/0.55 ; Trie-index has 683 nodes (683 at peak, 771 added, 88 deleted).
% 0.19/0.55 ; Retrieved 85 generalization terms in 225 calls.
% 0.19/0.55 ; Retrieved 130 instance terms in 130 calls.
% 0.19/0.55 ; Retrieved 5,791 unifiable terms in 1,788 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 21 entries:
% 0.19/0.55 ; 1 with value 10 6 with value 14 1 with value 20
% 0.19/0.55 ; 1 with value 11 8 with value 15 2 with value 24
% 0.19/0.55 ; 1 with value 12 1 with value 17
% 0.19/0.55 ; The agenda of rows to give has 48 entries:
% 0.19/0.55 ; 1 with value (4 7) 4 with value (4 12) 2 with value (4 15)
% 0.19/0.55 ; 1 with value (4 9) 10 with value (4 13) 1 with value (4 19)
% 0.19/0.55 ; 7 with value (4 10) 12 with value (4 14) 4 with value (4 23)
% 0.19/0.55 ; 6 with value (4 11)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.078 seconds of real time
% 0.19/0.55 0.066946 seconds of user run time
% 0.19/0.55 0.010876 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 4,765,216 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T03:21:19
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------