%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO004+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 17:53:14 EDT 2022
% Result : Theorem 1.33s 1.50s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of clauses : 52 ( 29 unt; 10 nHn; 52 RR)
% Number of literals : 94 ( 4 equ; 40 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| ~ leaf_occ(Z,X)
| ~ leaf_occ(U,X)
| Z = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
cnf(5,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(18,axiom,
( ~ root_occ(X,Y)
| subactivity_occurrence(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
cnf(27,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
cnf(31,axiom,
( leaf(X,Y)
| ~ min_precedes(Z,X,Y)
| min_precedes(X,'SKOLEMAAAV5'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
cnf(42,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ min_precedes(U,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
cnf(43,axiom,
( ~ occurrence_of(X,Y)
| ~ leaf_occ(Z,X)
| ~ min_precedes(Z,U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
cnf(44,axiom,
( ~ occurrence_of(X,Y)
| ~ occurrence_of(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
cnf(47,axiom,
( ~ min_precedes(X,Y,Z)
| occurrence_of('SKOLEMAAAV9'(Z,X,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
cnf(49,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(Y,'SKOLEMAAAV9'(Z,X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
cnf(50,axiom,
( ~ leaf(X,Y)
| atomic(Y)
| occurrence_of('SKOLEMAAAV10'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
cnf(51,axiom,
( ~ leaf(X,Y)
| atomic(Y)
| leaf_occ(X,'SKOLEMAAAV10'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
cnf(64,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV15'(X),tptp4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(65,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAV15'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(66,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV16'(X),tptp3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(67,axiom,
( ~ occurrence_of(X,tptp0)
| leaf_occ('SKOLEMAAAV16'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(68,axiom,
( ~ occurrence_of(X,tptp0)
| next_subocc('SKOLEMAAAV15'(X),'SKOLEMAAAV16'(X),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(70,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
cnf(71,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
cnf(74,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
cnf(78,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
cnf(81,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| root_occ(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
cnf(82,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| occurrence_of('SKOLEMAAAV17'(Y),tptp1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
cnf(83,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| next_subocc(Y,'SKOLEMAAAV17'(Y),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
cnf(84,negated_conjecture,
occurrence_of('SKOLEMAAAV18',tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(88,plain,
occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV18'),tptp4),
inference('HYPERRESOLVE',[status(thm)],[64,84]) ).
cnf(89,plain,
root_occ('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[65,84]) ).
cnf(92,plain,
next_subocc('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV16'('SKOLEMAAAV18'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[68,84]) ).
cnf(108,plain,
arboreal('SKOLEMAAAV15'('SKOLEMAAAV18')),
inference('HYPERRESOLVE',[status(thm)],[27,88,71]) ).
cnf(113,plain,
subactivity_occurrence('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[18,89]) ).
cnf(148,plain,
( leaf_occ('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV18')
| occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp1) ),
inference('HYPERRESOLVE',[status(thm)],[82,113,84,108]) ).
cnf(149,plain,
( leaf_occ('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV18')
| next_subocc('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp0) ),
inference('HYPERRESOLVE',[status(thm)],[83,113,84,108]) ).
cnf(154,plain,
min_precedes('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV16'('SKOLEMAAAV18'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[5,92]) ).
cnf(179,plain,
~ leaf_occ('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV18'),
inference('UR-RESOLVE',[status(thm)],[43,154,84]) ).
cnf(180,plain,
occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp1),
inference('REWRITE',[status(thm)],[148,179]) ).
cnf(181,plain,
next_subocc('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp0),
inference('REWRITE',[status(thm)],[149,179]) ).
cnf(211,plain,
arboreal('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18'))),
inference('HYPERRESOLVE',[status(thm)],[27,180,74]) ).
cnf(213,plain,
~ occurrence_of('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp3),
inference('UR-RESOLVE',[status(thm)],[44,180,78]) ).
cnf(251,plain,
min_precedes('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[5,181]) ).
cnf(343,plain,
occurrence_of('SKOLEMAAAV9'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18'))),tptp0),
inference('HYPERRESOLVE',[status(thm)],[47,251]) ).
cnf(348,plain,
subactivity_occurrence('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),'SKOLEMAAAV9'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')))),
inference('HYPERRESOLVE',[status(thm)],[49,251]) ).
cnf(349,plain,
( leaf('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp0)
| min_precedes('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),'SKOLEMAAAV5'('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp0),tptp0) ),
inference('HYPERRESOLVE',[status(thm)],[31,251]) ).
cnf(613,plain,
~ root_occ('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),'SKOLEMAAAV9'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')))),
inference('UR-RESOLVE',[status(thm)],[42,343,251]) ).
cnf(843,plain,
leaf_occ('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),'SKOLEMAAAV9'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[81,348,343,211]),613]) ).
cnf(1056,plain,
~ min_precedes('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),X,tptp0),
inference('UR-RESOLVE',[status(thm)],[43,843,343]) ).
cnf(1057,plain,
leaf('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp0),
inference('REWRITE',[status(thm)],[349,1056]) ).
cnf(1060,plain,
occurrence_of('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18'))),tptp0),
inference('UR-RESOLVE',[status(thm)],[50,1057,70]) ).
cnf(1062,plain,
leaf_occ('SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')))),
inference('UR-RESOLVE',[status(thm)],[51,1057,70]) ).
cnf(1070,plain,
occurrence_of('SKOLEMAAAV16'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')))),tptp3),
inference('HYPERRESOLVE',[status(thm)],[66,1060]) ).
cnf(1078,plain,
leaf_occ('SKOLEMAAAV16'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')))),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')))),
inference('HYPERRESOLVE',[status(thm)],[67,1060]) ).
cnf(2085,plain,
'SKOLEMAAAV16'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')))) = 'SKOLEMAAAV17'('SKOLEMAAAV15'('SKOLEMAAAV18')),
inference('UR-RESOLVE',[status(thm)],[4,1078,1060,70,1062]) ).
cnf(2086,plain,
$false,
inference('REWRITE',[status(thm)],[1070,213,2085,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : PRO004+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 02:02:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-13T02:02:59
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-13T02:02:59
% 1.33/1.50
% 1.33/1.50
% 1.33/1.50 #||
% 1.33/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/1.50 % SZS output start Refutation
% See solution above
% 1.33/1.51 ||#
% 1.33/1.51
% 1.33/1.51 ; Summary of computation:
% 1.33/1.51 ; 5977 formulas have been input or derived (from 1058 formulas).
% 1.33/1.51 ; 2086 (35%) were retained. Of these,
% 1.33/1.51 ; 415 (20%) were simplified or subsumed later,
% 1.33/1.51 ; 1671 (80%) are still being kept.
% 1.33/1.51 ;
% 1.33/1.51 ; Run time in seconds excluding printing time:
% 1.33/1.51 ; 0.010 1% Read assertion file (1 call)
% 1.33/1.51 ; 0.004 0% Assert (49 calls)
% 1.33/1.51 ; 0.127 12% Process new row (4,582 calls)
% 1.33/1.51 ; 0.720 71% Resolution (2,114 calls)
% 1.33/1.51 ; 0.011 1% Paramodulation (1,057 calls)
% 1.33/1.51 ; 0.000 0% Factoring (6 calls)
% 1.33/1.51 ; 0.003 0% Condensing (183 calls)
% 1.33/1.51 ; 0.008 1% Forward subsumption (183 calls)
% 1.33/1.51 ; 0.003 0% Backward subsumption (179 calls)
% 1.33/1.51 ; 0.000 0% Clause clause subsumption (27 calls)
% 1.33/1.51 ; 0.043 4% Forward simplification (4,388 calls)
% 1.33/1.51 ; 0.035 3% Backward simplification (2,086 calls)
% 1.33/1.51 ; 0.001 0% Ordering (248 calls)
% 1.33/1.51 ; 0.001 0% Sortal reasoning (32 calls)
% 1.33/1.51 ; 0.000 0% Purity testing (1 call)
% 1.33/1.51 ; 0.054 5% Other
% 1.33/1.51 ; 1.020 Total
% 1.33/1.51 ; 1.032 Real time
% 1.33/1.51 ;
% 1.33/1.51 ; Term-hash-array has 2,482 terms in all.
% 1.33/1.51 ; Feature-vector-row-index has 149 entries (149 at peak, 179 added, 30 deleted).
% 1.33/1.51 ; Feature-vector-row-index has 1,116 nodes (1,116 at peak, 1,430 added, 314 deleted).
% 1.33/1.51 ; Retrieved 30 possibly forward subsuming rows in 183 calls.
% 1.33/1.51 ; Retrieved 7 possibly backward subsumed rows in 179 calls.
% 1.33/1.51 ; Path-index has 2,037 entries (2,058 at peak, 2,507 added, 470 deleted).
% 1.33/1.51 ; Path-index has 8,626 nodes (8,644 at peak, 9,237 added, 611 deleted).
% 1.33/1.51 ; Trie-index has 2,037 entries (2,058 at peak, 2,507 added, 470 deleted).
% 1.33/1.51 ; Trie-index has 11,539 nodes (11,632 at peak, 14,290 added, 2,751 deleted).
% 1.33/1.51 ; Retrieved 2,330 generalization terms in 8,821 calls.
% 1.33/1.51 ; Retrieved 1,922 instance terms in 1,906 calls.
% 1.33/1.51 ; Retrieved 552,306 unifiable terms in 205,451 calls.
% 1.33/1.51 ;
% 1.33/1.51 ; The agenda of backward simplifiable rows to process has 18 entries:
% 1.33/1.51 ; 18 with value 0
% 1.33/1.51 ; The agenda of rows to process has 6 entries:
% 1.33/1.51 ; 1 with value 25 1 with value 29 1 with value 33
% 1.33/1.51 ; 2 with value 26 1 with value 32
% 1.33/1.51 ; The agenda of rows to give has 761 entries:
% 1.33/1.51 ; 1 with value (4 23) 35 with value (4 34) 1 with value (4 45)
% 1.33/1.51 ; 82 with value (4 24) 11 with value (4 35) 5 with value (4 46)
% 1.33/1.51 ; 105 with value (4 25) 10 with value (4 36) 7 with value (4 47)
% 1.33/1.51 ; 71 with value (4 26) 3 with value (4 37) 3 with value (4 48)
% 1.33/1.51 ; 70 with value (4 27) 7 with value (4 38) 3 with value (4 49)
% 1.33/1.51 ; 63 with value (4 28) 2 with value (4 39) 1 with value (4 50)
% 1.33/1.51 ; 68 with value (4 29) 5 with value (4 40) 3 with value (4 51)
% 1.33/1.51 ; 73 with value (4 30) 1 with value (4 41) 2 with value (4 52)
% 1.33/1.51 ; 56 with value (4 31) 2 with value (4 42) 3 with value (4 53)
% 1.33/1.51 ; 40 with value (4 32) 1 with value (4 43) 2 with value (4 54)
% 1.33/1.51 ; 23 with value (4 33) 1 with value (4 44) 1 with value (4 59)
% 1.33/1.51 Evaluation took:
% 1.33/1.51 1.033 seconds of real time
% 1.33/1.51 0.977636 seconds of user run time
% 1.33/1.51 0.055098 seconds of system run time
% 1.33/1.51 [Run times include 0.083 seconds GC run time.]
% 1.33/1.51 0 calls to %EVAL
% 1.33/1.51 0 page faults and
% 1.33/1.51 115,067,352 bytes consed.
% 1.33/1.51 :PROOF-FOUND
% 1.33/1.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T02:03:00
% 1.33/1.51 :PROOF-FOUND
% 1.33/1.51 *
%------------------------------------------------------------------------------