TSTP Solution File: PRO003+4 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO003+4 : 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 17:53:13 EDT 2022
% Result : Theorem 0.73s 0.91s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of clauses : 47 ( 28 unt; 4 nHn; 47 RR)
% Number of literals : 81 ( 8 equ; 35 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 44 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| root('SKOLEMAAAV1'(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
cnf(2,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| subactivity_occurrence('SKOLEMAAAV1'(Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
cnf(4,axiom,
( ~ occurrence_of(X,Y)
| ~ subactivity_occurrence(Z,X)
| ~ leaf_occ(U,X)
| ~ arboreal(Z)
| min_precedes(Z,U,Y)
| U = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(9,axiom,
( ~ min_precedes(X,Y,Z)
| occurrence_of('SKOLEMAAAV3'(Z,X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
cnf(10,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(X,'SKOLEMAAAV3'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
cnf(11,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(Y,'SKOLEMAAAV3'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
cnf(14,axiom,
( ~ occurrence_of(X,Y)
| ~ occurrence_of(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
cnf(30,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
cnf(39,axiom,
( root_occ(X,Y)
| ~ occurrence_of(Y,Z)
| ~ subactivity_occurrence(X,Y)
| ~ root(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
cnf(50,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
cnf(51,axiom,
( ~ next_subocc(X,Y,Z)
| ~ min_precedes(X,U,Z)
| ~ min_precedes(U,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
cnf(56,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ root_occ(U,X)
| U = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
cnf(60,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAV13'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(61,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV14'(X),tptp3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(62,axiom,
( ~ occurrence_of(X,tptp0)
| leaf_occ('SKOLEMAAAV14'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(63,axiom,
( ~ occurrence_of(X,tptp0)
| next_subocc('SKOLEMAAAV13'(X),'SKOLEMAAAV14'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(64,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
cnf(68,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
cnf(72,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
cnf(75,axiom,
( ~ occurrence_of(X,tptp0)
| ~ root_occ(Y,X)
| occurrence_of('SKOLEMAAAV15'(Y),tptp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
cnf(76,axiom,
( ~ occurrence_of(X,tptp0)
| ~ root_occ(Y,X)
| next_subocc(Y,'SKOLEMAAAV15'(Y),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
cnf(77,negated_conjecture,
occurrence_of('SKOLEMAAAV16',tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(81,plain,
root_occ('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[60,77]) ).
cnf(85,plain,
root('SKOLEMAAAV1'(tptp0,'SKOLEMAAAV16'),tptp0),
inference('UR-RESOLVE',[status(thm)],[1,77,64]) ).
cnf(86,plain,
subactivity_occurrence('SKOLEMAAAV1'(tptp0,'SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('UR-RESOLVE',[status(thm)],[2,77,64]) ).
cnf(104,plain,
occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp1),
inference('HYPERRESOLVE',[status(thm)],[75,81,77]) ).
cnf(107,plain,
next_subocc('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[76,81,77]) ).
cnf(130,plain,
root_occ('SKOLEMAAAV1'(tptp0,'SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[39,86,77,85]) ).
cnf(140,plain,
'SKOLEMAAAV13'('SKOLEMAAAV16') = 'SKOLEMAAAV1'(tptp0,'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[56,130,77,81]) ).
cnf(141,plain,
root('SKOLEMAAAV13'('SKOLEMAAAV16'),tptp0),
inference('REWRITE',[status(thm)],[85,140,theory(equality)]) ).
cnf(147,plain,
arboreal('SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[30,104,68]) ).
cnf(150,plain,
~ occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp3),
inference('UR-RESOLVE',[status(thm)],[14,104,72]) ).
cnf(179,plain,
min_precedes('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[50,107]) ).
cnf(229,plain,
occurrence_of('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16'))),tptp0),
inference('HYPERRESOLVE',[status(thm)],[9,179]) ).
cnf(231,plain,
subactivity_occurrence('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),
inference('HYPERRESOLVE',[status(thm)],[10,179]) ).
cnf(232,plain,
subactivity_occurrence('SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),
inference('HYPERRESOLVE',[status(thm)],[11,179]) ).
cnf(416,plain,
occurrence_of('SKOLEMAAAV14'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),tptp3),
inference('HYPERRESOLVE',[status(thm)],[61,229]) ).
cnf(422,plain,
leaf_occ('SKOLEMAAAV14'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),
inference('HYPERRESOLVE',[status(thm)],[62,229]) ).
cnf(423,plain,
root_occ('SKOLEMAAAV13'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),
inference('HYPERRESOLVE',[status(thm)],[60,229]) ).
cnf(425,plain,
next_subocc('SKOLEMAAAV13'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),'SKOLEMAAAV14'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),tptp0),
inference('HYPERRESOLVE',[status(thm)],[63,229]) ).
cnf(486,plain,
root_occ('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),
inference('HYPERRESOLVE',[status(thm)],[39,231,229,141]) ).
cnf(828,plain,
( min_precedes('SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')),'SKOLEMAAAV14'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),tptp0)
| 'SKOLEMAAAV14'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))) = 'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')) ),
inference('HYPERRESOLVE',[status(thm)],[4,422,229,232,147]) ).
cnf(836,plain,
'SKOLEMAAAV13'('SKOLEMAAAV16') = 'SKOLEMAAAV13'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),
inference('HYPERRESOLVE',[status(thm)],[56,423,229,486]) ).
cnf(837,plain,
next_subocc('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV14'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),tptp0),
inference('REWRITE',[status(thm)],[425,836,theory(equality)]) ).
cnf(839,plain,
~ min_precedes('SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')),'SKOLEMAAAV14'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))),tptp0),
inference('UR-RESOLVE',[status(thm)],[51,837,179]) ).
cnf(840,plain,
'SKOLEMAAAV14'('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')))) = 'SKOLEMAAAV15'('SKOLEMAAAV13'('SKOLEMAAAV16')),
inference('REWRITE',[status(thm)],[828,839]) ).
cnf(841,plain,
$false,
inference('REWRITE',[status(thm)],[416,150,840,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO003+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % 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 01:35:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T01:35:04
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-13T01:35:04
% 0.20/0.49 WARNING:
% 0.20/0.49 |activity| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.91
% 0.73/0.91
% 0.73/0.91 #||
% 0.73/0.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.91 % SZS output start Refutation
% See solution above
% 0.73/0.92 ||#
% 0.73/0.92
% 0.73/0.92 ; Summary of computation:
% 0.73/0.92 ; 2842 formulas have been input or derived (from 578 formulas).
% 0.73/0.92 ; 841 (30%) were retained. Of these,
% 0.73/0.92 ; 358 (43%) were simplified or subsumed later,
% 0.73/0.92 ; 483 (57%) are still being kept.
% 0.73/0.92 ;
% 0.73/0.92 ; Run time in seconds excluding printing time:
% 0.73/0.92 ; 0.011 2% Read assertion file (1 call)
% 0.73/0.92 ; 0.002 0% Assert (47 calls)
% 0.73/0.92 ; 0.049 11% Process new row (2,173 calls)
% 0.73/0.92 ; 0.296 67% Resolution (1,154 calls)
% 0.73/0.92 ; 0.005 1% Paramodulation (577 calls)
% 0.73/0.92 ; 0.000 0% Factoring (1 call)
% 0.73/0.92 ; 0.001 0% Condensing (117 calls)
% 0.73/0.92 ; 0.009 2% Forward subsumption (117 calls)
% 0.73/0.92 ; 0.000 0% Backward subsumption (111 calls)
% 0.73/0.92 ; 0.001 0% Clause clause subsumption (29 calls)
% 0.73/0.92 ; 0.016 4% Forward simplification (1,961 calls)
% 0.73/0.92 ; 0.013 3% Backward simplification (841 calls)
% 0.73/0.92 ; 0.000 0% Ordering (176 calls)
% 0.73/0.92 ; 0.000 0% Sortal reasoning (32 calls)
% 0.73/0.92 ; 0.000 0% Purity testing (1 call)
% 0.73/0.92 ; 0.039 9% Other
% 0.73/0.92 ; 0.442 Total
% 0.73/0.92 ; 0.452 Real time
% 0.73/0.92 ;
% 0.73/0.92 ; Term-hash-array has 1,008 terms in all.
% 0.73/0.92 ; Feature-vector-row-index has 87 entries (89 at peak, 111 added, 24 deleted).
% 0.73/0.92 ; Feature-vector-row-index has 470 nodes (504 at peak, 819 added, 349 deleted).
% 0.73/0.92 ; Retrieved 30 possibly forward subsuming rows in 117 calls.
% 0.73/0.92 ; Retrieved 14 possibly backward subsumed rows in 111 calls.
% 0.73/0.92 ; Path-index has 611 entries (691 at peak, 1,029 added, 418 deleted).
% 0.73/0.92 ; Path-index has 3,705 nodes (3,756 at peak, 4,374 added, 669 deleted).
% 0.73/0.92 ; Trie-index has 611 entries (691 at peak, 1,029 added, 418 deleted).
% 0.73/0.92 ; Trie-index has 2,879 nodes (3,368 at peak, 5,569 added, 2,690 deleted).
% 0.73/0.92 ; Retrieved 1,073 generalization terms in 3,486 calls.
% 0.73/0.92 ; Retrieved 764 instance terms in 729 calls.
% 0.73/0.92 ; Retrieved 227,093 unifiable terms in 60,214 calls.
% 0.73/0.92 ;
% 0.73/0.92 ; The agenda of backward simplifiable rows to process has 22 entries:
% 0.73/0.92 ; 22 with value 0
% 0.73/0.92 ; The agenda of rows to process has 1 entry:
% 0.73/0.92 ; 1 with value 25
% 0.73/0.92 ; The agenda of rows to give has 60 entries:
% 0.73/0.92 ; 1 with value (4 23) 2 with value (4 33) 1 with value (4 47)
% 0.73/0.92 ; 7 with value (4 26) 5 with value (4 34) 1 with value (4 49)
% 0.73/0.92 ; 8 with value (4 27) 2 with value (4 36) 1 with value (4 50)
% 0.73/0.92 ; 3 with value (4 28) 1 with value (4 37) 1 with value (4 52)
% 0.73/0.92 ; 6 with value (4 29) 2 with value (4 38) 1 with value (4 54)
% 0.73/0.92 ; 5 with value (4 30) 1 with value (4 39) 1 with value (4 57)
% 0.73/0.92 ; 2 with value (4 31) 1 with value (4 43) 1 with value (4 59)
% 0.73/0.92 ; 7 with value (4 32)
% 0.73/0.92 Evaluation took:
% 0.73/0.92 0.452 seconds of real time
% 0.73/0.92 0.425019 seconds of user run time
% 0.73/0.92 0.026727 seconds of system run time
% 0.73/0.92 [Run times include 0.019 seconds GC run time.]
% 0.73/0.92 0 calls to %EVAL
% 0.73/0.92 0 page faults and
% 0.73/0.92 40,497,592 bytes consed.
% 0.73/0.92 :PROOF-FOUND
% 0.73/0.92 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T01:35:04
% 0.73/0.92 :PROOF-FOUND
% 0.73/0.92 *
%------------------------------------------------------------------------------