%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO003+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 1.69s 1.91s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of clauses : 44 ( 26 unt; 4 nHn; 44 RR)
% Number of literals : 77 ( 8 equ; 34 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ occurrence_of(X,Y)
| ~ occurrence_of(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(36,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
cnf(37,axiom,
( ~ next_subocc(X,Y,Z)
| ~ min_precedes(X,U,Z)
| ~ min_precedes(U,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
cnf(46,axiom,
( ~ min_precedes(X,Y,Z)
| occurrence_of('SKOLEMAAAV10'(Z,X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(47,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(X,'SKOLEMAAAV10'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(48,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(Y,'SKOLEMAAAV10'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(51,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| root('SKOLEMAAAV12'(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
cnf(52,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| subactivity_occurrence('SKOLEMAAAV12'(Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
cnf(62,axiom,
( root_occ(X,Y)
| ~ occurrence_of(Y,Z)
| ~ subactivity_occurrence(X,Y)
| ~ root(X,Z) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(82,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ leaf_occ(U,X)
| ~ subactivity_occurrence(V,X)
| ~ min_precedes(Z,V,Y)
| V = U
| min_precedes(V,U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
cnf(84,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAV17'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(85,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV18'(X),tptp3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(86,axiom,
( ~ occurrence_of(X,tptp0)
| leaf_occ('SKOLEMAAAV18'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(87,axiom,
( ~ occurrence_of(X,tptp0)
| next_subocc('SKOLEMAAAV17'(X),'SKOLEMAAAV18'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(89,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
cnf(97,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
cnf(100,axiom,
( ~ occurrence_of(X,tptp0)
| ~ root_occ(Y,X)
| occurrence_of('SKOLEMAAAV19'(Y),tptp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_62) ).
cnf(101,axiom,
( ~ occurrence_of(X,tptp0)
| ~ root_occ(Y,X)
| next_subocc(Y,'SKOLEMAAAV19'(Y),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_62) ).
cnf(102,negated_conjecture,
occurrence_of('SKOLEMAAAV20',tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(111,plain,
root_occ('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[84,102]) ).
cnf(115,plain,
root('SKOLEMAAAV12'(tptp0,'SKOLEMAAAV20'),tptp0),
inference('UR-RESOLVE',[status(thm)],[51,102,89]) ).
cnf(116,plain,
subactivity_occurrence('SKOLEMAAAV12'(tptp0,'SKOLEMAAAV20'),'SKOLEMAAAV20'),
inference('UR-RESOLVE',[status(thm)],[52,102,89]) ).
cnf(143,plain,
occurrence_of('SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp1),
inference('HYPERRESOLVE',[status(thm)],[100,111,102]) ).
cnf(146,plain,
next_subocc('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[101,111,102]) ).
cnf(185,plain,
root_occ('SKOLEMAAAV12'(tptp0,'SKOLEMAAAV20'),'SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[62,116,102,115]) ).
cnf(196,plain,
'SKOLEMAAAV12'(tptp0,'SKOLEMAAAV20') = 'SKOLEMAAAV17'('SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[67,185,102,111]) ).
cnf(197,plain,
root('SKOLEMAAAV17'('SKOLEMAAAV20'),tptp0),
inference('REWRITE',[status(thm)],[115,196,theory(equality)]) ).
cnf(211,plain,
~ occurrence_of('SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp3),
inference('UR-RESOLVE',[status(thm)],[5,143,97]) ).
cnf(299,plain,
min_precedes('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[36,146]) ).
cnf(383,plain,
occurrence_of('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20'))),tptp0),
inference('HYPERRESOLVE',[status(thm)],[46,299]) ).
cnf(386,plain,
subactivity_occurrence('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),
inference('HYPERRESOLVE',[status(thm)],[47,299]) ).
cnf(389,plain,
subactivity_occurrence('SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),
inference('HYPERRESOLVE',[status(thm)],[48,299]) ).
cnf(795,plain,
occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),tptp3),
inference('HYPERRESOLVE',[status(thm)],[85,383]) ).
cnf(804,plain,
leaf_occ('SKOLEMAAAV18'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),
inference('HYPERRESOLVE',[status(thm)],[86,383]) ).
cnf(805,plain,
root_occ('SKOLEMAAAV17'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),
inference('HYPERRESOLVE',[status(thm)],[84,383]) ).
cnf(807,plain,
next_subocc('SKOLEMAAAV17'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),'SKOLEMAAAV18'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),tptp0),
inference('HYPERRESOLVE',[status(thm)],[87,383]) ).
cnf(991,plain,
root_occ('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),
inference('HYPERRESOLVE',[status(thm)],[62,386,383,197]) ).
cnf(2741,plain,
( 'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')) = 'SKOLEMAAAV18'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20'))))
| min_precedes('SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')),'SKOLEMAAAV18'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),tptp0) ),
inference('HYPERRESOLVE',[status(thm)],[82,804,383,991,389,299]) ).
cnf(2753,plain,
'SKOLEMAAAV17'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))) = 'SKOLEMAAAV17'('SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[67,805,383,991]) ).
cnf(2754,plain,
next_subocc('SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV18'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),tptp0),
inference('REWRITE',[status(thm)],[807,2753,theory(equality)]) ).
cnf(2756,plain,
~ min_precedes('SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')),'SKOLEMAAAV18'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),tptp0),
inference('UR-RESOLVE',[status(thm)],[37,2754,299]) ).
cnf(2757,plain,
'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')) = 'SKOLEMAAAV18'('SKOLEMAAAV10'(tptp0,'SKOLEMAAAV17'('SKOLEMAAAV20'),'SKOLEMAAAV19'('SKOLEMAAAV17'('SKOLEMAAAV20')))),
inference('REWRITE',[status(thm)],[2741,2756]) ).
cnf(2758,plain,
$false,
inference('REWRITE',[status(thm)],[795,211,2757,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO003+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 02:18:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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)
% 0.20/0.48 (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/sandbox2/benchmark/theBenchmark.p 2022-06-13T02:18:53
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-13T02:18:53
% 1.69/1.91
% 1.69/1.91
% 1.69/1.91 #||
% 1.69/1.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.69/1.91 % SZS output start Refutation
% See solution above
% 1.69/1.91 ||#
% 1.69/1.91
% 1.69/1.91 ; Summary of computation:
% 1.69/1.91 ; 9199 formulas have been input or derived (from 1191 formulas).
% 1.69/1.91 ; 2758 (30%) were retained. Of these,
% 1.69/1.91 ; 1199 (43%) were simplified or subsumed later,
% 1.69/1.91 ; 1559 (57%) are still being kept.
% 1.69/1.91 ;
% 1.69/1.91 ; Run time in seconds excluding printing time:
% 1.69/1.91 ; 0.015 1% Read assertion file (1 call)
% 1.69/1.91 ; 0.004 0% Assert (64 calls)
% 1.69/1.91 ; 0.192 13% Process new row (7,431 calls)
% 1.69/1.91 ; 0.924 65% Resolution (2,380 calls)
% 1.69/1.91 ; 0.010 1% Paramodulation (1,190 calls)
% 1.69/1.91 ; 0.000 0% Factoring (9 calls)
% 1.69/1.91 ; 0.001 0% Condensing (612 calls)
% 1.69/1.91 ; 0.082 6% Forward subsumption (612 calls)
% 1.69/1.91 ; 0.010 1% Backward subsumption (499 calls)
% 1.69/1.91 ; 0.001 0% Clause clause subsumption (397 calls)
% 1.69/1.91 ; 0.079 6% Forward simplification (6,939 calls)
% 1.69/1.91 ; 0.058 4% Backward simplification (2,758 calls)
% 1.69/1.91 ; 0.002 0% Ordering (814 calls)
% 1.69/1.91 ; 0.000 0% Sortal reasoning (32 calls)
% 1.69/1.91 ; 0.001 0% Purity testing (1 call)
% 1.69/1.91 ; 0.053 4% Other
% 1.69/1.91 ; 1.432 Total
% 1.69/1.91 ; 1.435 Real time
% 1.69/1.91 ;
% 1.69/1.91 ; Term-hash-array has 3,706 terms in all.
% 1.69/1.91 ; Feature-vector-row-index has 326 entries (348 at peak, 499 added, 173 deleted).
% 1.69/1.91 ; Feature-vector-row-index has 3,788 nodes (4,154 at peak, 6,306 added, 2,518 deleted).
% 1.69/1.91 ; Retrieved 475 possibly forward subsuming rows in 612 calls.
% 1.69/1.91 ; Retrieved 31 possibly backward subsumed rows in 499 calls.
% 1.69/1.91 ; Path-index has 2,167 entries (2,334 at peak, 3,738 added, 1,571 deleted).
% 1.69/1.91 ; Path-index has 10,189 nodes (10,267 at peak, 11,961 added, 1,772 deleted).
% 1.69/1.91 ; Trie-index has 2,167 entries (2,334 at peak, 3,738 added, 1,571 deleted).
% 1.69/1.91 ; Trie-index has 13,499 nodes (14,449 at peak, 23,250 added, 9,751 deleted).
% 1.69/1.91 ; Retrieved 4,061 generalization terms in 16,779 calls.
% 1.69/1.91 ; Retrieved 2,362 instance terms in 2,258 calls.
% 1.69/1.91 ; Retrieved 852,977 unifiable terms in 170,214 calls.
% 1.69/1.91 ;
% 1.69/1.91 ; The agenda of backward simplifiable rows to process has 70 entries:
% 1.69/1.91 ; 70 with value 0
% 1.69/1.91 ; The agenda of rows to process has 2 entries:
% 1.69/1.91 ; 1 with value 25 1 with value 26
% 1.69/1.91 ; The agenda of rows to give has 691 entries:
% 1.69/1.91 ; 1 with value (4 23) 9 with value (4 43) 2 with value (4 62)
% 1.69/1.91 ; 56 with value (4 26) 3 with value (4 44) 3 with value (4 63)
% 1.69/1.91 ; 68 with value (4 27) 7 with value (4 45) 7 with value (4 64)
% 1.69/1.91 ; 56 with value (4 28) 8 with value (4 46) 1 with value (4 65)
% 1.69/1.91 ; 54 with value (4 29) 5 with value (4 47) 6 with value (4 66)
% 1.69/1.91 ; 48 with value (4 30) 5 with value (4 48) 3 with value (4 67)
% 1.69/1.91 ; 29 with value (4 31) 11 with value (4 49) 4 with value (4 68)
% 1.69/1.91 ; 41 with value (4 32) 10 with value (4 50) 1 with value (4 69)
% 1.69/1.91 ; 35 with value (4 33) 8 with value (4 52) 8 with value (4 70)
% 1.69/1.91 ; 34 with value (4 34) 4 with value (4 53) 2 with value (4 71)
% 1.69/1.91 ; 22 with value (4 35) 7 with value (4 54) 3 with value (4 72)
% 1.69/1.91 ; 10 with value (4 36) 5 with value (4 55) 4 with value (4 73)
% 1.69/1.91 ; 17 with value (4 37) 7 with value (4 56) 2 with value (4 74)
% 1.69/1.91 ; 22 with value (4 38) 5 with value (4 57) 1 with value (4 76)
% 1.69/1.91 ; 16 with value (4 39) 8 with value (4 58) 1 with value (4 78)
% 1.69/1.91 ; 8 with value (4 40) 5 with value (4 59) 1 with value (4 80)
% 1.69/1.91 ; 8 with value (4 41) 3 with value (4 60) 1 with value (4 81)
% 1.69/1.91 ; 4 with value (4 42) 1 with value (4 61) 1 with value (4 82)
% 1.69/1.91 Evaluation took:
% 1.69/1.91 1.436 seconds of real time
% 1.69/1.91 1.356873 seconds of user run time
% 1.69/1.91 0.079726 seconds of system run time
% 1.69/1.91 [Run times include 0.124 seconds GC run time.]
% 1.69/1.91 0 calls to %EVAL
% 1.69/1.91 0 page faults and
% 1.69/1.91 144,141,104 bytes consed.
% 1.69/1.91 :PROOF-FOUND
% 1.69/1.91 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T02:18:55
% 1.69/1.91 :PROOF-FOUND
% 1.69/1.91 *
%------------------------------------------------------------------------------