TSTP Solution File: PRO012+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 0.77s 0.95s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of clauses : 48 ( 26 unt; 5 nHn; 48 RR)
% Number of literals : 87 ( 4 equ; 39 neg)
% Maximal clause size : 6 ( 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 : 50 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,axiom,
( ~ legal(X)
| arboreal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
cnf(23,axiom,
( ~ min_precedes(X,Y,Z)
| root('SKOLEMAAAV5'(Z,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
cnf(24,axiom,
( ~ min_precedes(X,Y,Z)
| min_precedes('SKOLEMAAAV5'(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(27,axiom,
( ~ root(X,Y)
| legal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
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(48,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(Y,'SKOLEMAAAV10'(Z,X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
cnf(51,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| root('SKOLEMAAAV12'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
cnf(52,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| subactivity_occurrence('SKOLEMAAAV12'(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
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(62,axiom,
( root_occ(X,Y)
| ~ occurrence_of(Y,Z)
| ~ subactivity_occurrence(X,Y)
| ~ root(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
cnf(67,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ root_occ(U,X)
| Z = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
cnf(74,axiom,
( ~ occurrence_of(X,Y)
| ~ subactivity_occurrence(Z,X)
| ~ root_occ(U,X)
| ~ arboreal(Z)
| min_precedes(U,Z,Y)
| Z = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
cnf(83,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV17'(X),tptp3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(84,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAV17'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(86,axiom,
( ~ occurrence_of(X,tptp0)
| min_precedes('SKOLEMAAAV17'(X),'SKOLEMAAAV18'(X),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(87,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV19'(X),tptp2)
| occurrence_of('SKOLEMAAAV19'(X),tptp1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(88,axiom,
( ~ occurrence_of(X,tptp0)
| min_precedes('SKOLEMAAAV18'(X),'SKOLEMAAAV19'(X),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(91,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
cnf(102,negated_conjecture,
occurrence_of('SKOLEMAAAV20',tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(103,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAV20')
| ~ occurrence_of(Y,tptp2)
| ~ min_precedes(X,Y,tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(104,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAV20')
| ~ occurrence_of(Y,tptp1)
| ~ min_precedes(X,Y,tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(112,plain,
occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV20'),tptp3),
inference('HYPERRESOLVE',[status(thm)],[83,102]) ).
cnf(113,plain,
root_occ('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[84,102]) ).
cnf(115,plain,
min_precedes('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV18'('SKOLEMAAAV20'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[86,102]) ).
cnf(116,plain,
min_precedes('SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[88,102]) ).
cnf(117,plain,
root('SKOLEMAAAV12'(tptp0,'SKOLEMAAAV20'),tptp0),
inference('UR-RESOLVE',[status(thm)],[51,102,91]) ).
cnf(118,plain,
subactivity_occurrence('SKOLEMAAAV12'(tptp0,'SKOLEMAAAV20'),'SKOLEMAAAV20'),
inference('UR-RESOLVE',[status(thm)],[52,102,91]) ).
cnf(119,plain,
( occurrence_of('SKOLEMAAAV19'('SKOLEMAAAV20'),tptp2)
| occurrence_of('SKOLEMAAAV19'('SKOLEMAAAV20'),tptp1) ),
inference('HYPERRESOLVE',[status(thm)],[87,102]) ).
cnf(180,plain,
root_occ('SKOLEMAAAV12'(tptp0,'SKOLEMAAAV20'),'SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[62,118,102,117]) ).
cnf(211,plain,
root('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV19'('SKOLEMAAAV20')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[23,116]) ).
cnf(212,plain,
occurrence_of('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[46,116]) ).
cnf(213,plain,
min_precedes('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV19'('SKOLEMAAAV20')),'SKOLEMAAAV19'('SKOLEMAAAV20'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[24,116]) ).
cnf(216,plain,
subactivity_occurrence('SKOLEMAAAV19'('SKOLEMAAAV20'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[48,116]) ).
cnf(217,plain,
subactivity_occurrence('SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[47,116]) ).
cnf(226,plain,
'SKOLEMAAAV12'(tptp0,'SKOLEMAAAV20') = 'SKOLEMAAAV17'('SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[67,180,102,113]) ).
cnf(227,plain,
root('SKOLEMAAAV17'('SKOLEMAAAV20'),tptp0),
inference('REWRITE',[status(thm)],[117,226,theory(equality)]) ).
cnf(276,plain,
legal('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV19'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[27,211]) ).
cnf(277,plain,
~ min_precedes(X,'SKOLEMAAAV5'(tptp0,'SKOLEMAAAV19'('SKOLEMAAAV20')),tptp0),
inference('UR-RESOLVE',[status(thm)],[25,211]) ).
cnf(313,plain,
arboreal('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV19'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[12,276]) ).
cnf(562,plain,
subactivity_occurrence('SKOLEMAAAV5'(tptp0,'SKOLEMAAAV19'('SKOLEMAAAV20')),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[54,216,213,212]) ).
cnf(563,plain,
subactivity_occurrence('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[54,217,115,212]) ).
cnf(726,plain,
root_occ('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV18'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[62,563,212,227]) ).
cnf(1097,plain,
'SKOLEMAAAV5'(tptp0,'SKOLEMAAAV19'('SKOLEMAAAV20')) = 'SKOLEMAAAV17'('SKOLEMAAAV20'),
inference('UR-RESOLVE',[status(thm)],[74,562,212,726,313,277]) ).
cnf(1098,plain,
min_precedes('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV20'),tptp0),
inference('REWRITE',[status(thm)],[213,1097,theory(equality)]) ).
cnf(1144,plain,
occurrence_of('SKOLEMAAAV19'('SKOLEMAAAV20'),tptp1),
inference('HYPERRESOLVE',[status(thm)],[103,1098,112,113,119]) ).
cnf(1145,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[104,1098,112,113]),1144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.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 01:50:35 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T01:50:35
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-13T01:50:35
% 0.77/0.95
% 0.77/0.95
% 0.77/0.95 #||
% 0.77/0.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95 % SZS output start Refutation
% See solution above
% 0.77/0.96 ||#
% 0.77/0.96
% 0.77/0.96 ; Summary of computation:
% 0.77/0.96 ; 2939 formulas have been input or derived (from 504 formulas).
% 0.77/0.96 ; 1145 (39%) were retained. Of these,
% 0.77/0.96 ; 304 (27%) were simplified or subsumed later,
% 0.77/0.96 ; 841 (73%) are still being kept.
% 0.77/0.96 ;
% 0.77/0.96 ; Run time in seconds excluding printing time:
% 0.77/0.96 ; 0.015 3% Read assertion file (1 call)
% 0.77/0.96 ; 0.005 1% Assert (63 calls)
% 0.77/0.96 ; 0.078 17% Process new row (2,356 calls)
% 0.77/0.96 ; 0.257 55% Resolution (1,006 calls)
% 0.77/0.96 ; 0.004 1% Paramodulation (503 calls)
% 0.77/0.96 ; 0.000 0% Factoring (8 calls)
% 0.77/0.96 ; 0.001 0% Condensing (303 calls)
% 0.77/0.96 ; 0.021 5% Forward subsumption (303 calls)
% 0.77/0.96 ; 0.004 1% Backward subsumption (270 calls)
% 0.77/0.96 ; 0.000 0% Clause clause subsumption (95 calls)
% 0.77/0.96 ; 0.022 5% Forward simplification (2,283 calls)
% 0.77/0.96 ; 0.020 4% Backward simplification (1,145 calls)
% 0.77/0.96 ; 0.000 0% Ordering (262 calls)
% 0.77/0.96 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.96 ; 0.001 0% Purity testing (1 call)
% 0.77/0.96 ; 0.036 8% Other
% 0.77/0.96 ; 0.464 Total
% 0.77/0.96 ; 0.476 Real time
% 0.77/0.96 ;
% 0.77/0.96 ; Term-hash-array has 1,596 terms in all.
% 0.77/0.96 ; Feature-vector-row-index has 210 entries (237 at peak, 270 added, 60 deleted).
% 0.77/0.96 ; Feature-vector-row-index has 1,594 nodes (1,962 at peak, 2,281 added, 687 deleted).
% 0.77/0.96 ; Retrieved 129 possibly forward subsuming rows in 303 calls.
% 0.77/0.96 ; Retrieved 23 possibly backward subsumed rows in 270 calls.
% 0.77/0.96 ; Path-index has 1,202 entries (1,354 at peak, 1,611 added, 409 deleted).
% 0.77/0.96 ; Path-index has 4,279 nodes (4,451 at peak, 4,643 added, 364 deleted).
% 0.77/0.96 ; Trie-index has 1,202 entries (1,354 at peak, 1,611 added, 409 deleted).
% 0.77/0.96 ; Trie-index has 5,614 nodes (6,609 at peak, 7,687 added, 2,073 deleted).
% 0.77/0.96 ; Retrieved 1,111 generalization terms in 3,186 calls.
% 0.77/0.96 ; Retrieved 884 instance terms in 874 calls.
% 0.77/0.96 ; Retrieved 211,201 unifiable terms in 41,956 calls.
% 0.77/0.96 ;
% 0.77/0.96 ; The agenda of rows to process has 50 entries:
% 0.77/0.96 ; 1 with value 9 2 with value 13 1 with value 17
% 0.77/0.96 ; 5 with value 10 10 with value 14 4 with value 19
% 0.77/0.96 ; 4 with value 11 14 with value 15 1 with value 20
% 0.77/0.96 ; 4 with value 12 2 with value 16 2 with value 24
% 0.77/0.96 ; The agenda of rows to give has 429 entries:
% 0.77/0.96 ; 1 with value (4 6) 9 with value (4 26) 5 with value (4 39)
% 0.77/0.96 ; 1 with value (4 9) 3 with value (4 27) 1 with value (4 40)
% 0.77/0.96 ; 5 with value (4 14) 12 with value (4 28) 5 with value (4 41)
% 0.77/0.96 ; 5 with value (4 15) 7 with value (4 29) 2 with value (4 42)
% 0.77/0.96 ; 6 with value (4 16) 4 with value (4 30) 6 with value (4 43)
% 0.77/0.96 ; 61 with value (4 17) 3 with value (4 31) 7 with value (4 44)
% 0.77/0.96 ; 36 with value (4 18) 4 with value (4 32) 2 with value (4 45)
% 0.77/0.96 ; 44 with value (4 19) 3 with value (4 33) 2 with value (4 47)
% 0.77/0.96 ; 31 with value (4 20) 4 with value (4 34) 2 with value (4 48)
% 0.77/0.96 ; 30 with value (4 21) 7 with value (4 35) 6 with value (4 50)
% 0.77/0.96 ; 28 with value (4 22) 6 with value (4 36) 8 with value (4 51)
% 0.77/0.96 ; 22 with value (4 23) 5 with value (4 37) 6 with value (4 52)
% 0.77/0.96 ; 28 with value (4 24) 3 with value (4 38) 4 with value (4 56)
% 0.77/0.96 ; 5 with value (4 25)
% 0.77/0.96 Evaluation took:
% 0.77/0.96 0.477 seconds of real time
% 0.77/0.96 0.446975 seconds of user run time
% 0.77/0.96 0.030074 seconds of system run time
% 0.77/0.96 [Run times include 0.029 seconds GC run time.]
% 0.77/0.96 0 calls to %EVAL
% 0.77/0.96 0 page faults and
% 0.77/0.96 38,343,336 bytes consed.
% 0.77/0.96 :PROOF-FOUND
% 0.77/0.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T01:50:35
% 0.77/0.96 :PROOF-FOUND
% 0.77/0.96 *
%------------------------------------------------------------------------------