TSTP Solution File: SWV415+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV415+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Wed Jul 20 21:33:14 EDT 2022
% Result : Theorem 5.22s 5.41s
% Output : Refutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 12 unt; 1 nHn; 3 RR)
% Number of literals : 22 ( 21 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 18 con; 0-3 aty)
% Number of variables : 68 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(55,axiom,
insert_cpq(triple(X,Y,Z),U) = triple(insert_pqp(X,U),insert_slb(Y,pair(U,bottom)),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax42) ).
cnf(67,axiom,
i(triple(X,create_slb,Y)) = create_pq,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax54) ).
cnf(68,axiom,
i(triple(X,insert_slb(Y,pair(Z,U)),V)) = insert_pq(i(triple(X,Y,V)),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax55) ).
cnf(87,axiom,
( i(triple('SKOLEMAAAV5',create_slb,'SKOLEMAAAV7')) != i(triple('SKOLEMAAAV6',create_slb,'SKOLEMAAAV8'))
| i(triple(X,'SKOLEMAAAV9',Y)) = i(triple(Z,'SKOLEMAAAV9',U))
| i(triple(V,W,X1)) = i(triple(Y1,W,Z1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big2_induction) ).
cnf(88,plain,
i(triple(X,'SKOLEMAAAV9',Y)) = i(triple(Z,'SKOLEMAAAV9',U)),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[87,67,theory(equality)])]) ).
cnf(89,axiom,
( i(triple('SKOLEMAAAV5',create_slb,'SKOLEMAAAV7')) != i(triple('SKOLEMAAAV6',create_slb,'SKOLEMAAAV8'))
| i(triple('SKOLEMAAAV10',insert_slb('SKOLEMAAAV9',pair('SKOLEMAAAV14','SKOLEMAAAV15')),'SKOLEMAAAV12')) != i(triple('SKOLEMAAAV11',insert_slb('SKOLEMAAAV9',pair('SKOLEMAAAV14','SKOLEMAAAV15')),'SKOLEMAAAV13'))
| i(triple(X,Y,Z)) = i(triple(U,Y,V)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big2_induction) ).
cnf(90,plain,
( insert_pq(i(triple('SKOLEMAAAV10','SKOLEMAAAV9','SKOLEMAAAV12')),'SKOLEMAAAV14') != insert_pq(i(triple('SKOLEMAAAV11','SKOLEMAAAV9','SKOLEMAAAV13')),'SKOLEMAAAV14')
| i(triple(X,Y,Z)) = i(triple(U,Y,V)) ),
inference('REWRITE',[status(thm)],[89,68,67,theory(equality)]) ).
cnf(91,negated_conjecture,
i(insert_cpq(triple('SKOLEMAAAV16','SKOLEMAAAV17','SKOLEMAAAV18'),'SKOLEMAAAV19')) != insert_pq(i(triple('SKOLEMAAAV16','SKOLEMAAAV17','SKOLEMAAAV18')),'SKOLEMAAAV19'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co2) ).
cnf(204,plain,
i(insert_cpq(triple(X,Y,Z),U)) = insert_pq(i(triple(insert_pqp(X,U),Y,Z)),U),
inference('PARAMODULATE',[status(thm)],[68,55,theory(equality)]) ).
cnf(228,plain,
( insert_pq(i(triple(X,'SKOLEMAAAV9',Y)),'SKOLEMAAAV14') != insert_pq(i(triple('SKOLEMAAAV11','SKOLEMAAAV9','SKOLEMAAAV13')),'SKOLEMAAAV14')
| i(triple(Z,U,V)) = i(triple(W,U,X1)) ),
inference('PARAMODULATE',[status(thm)],[90,88,theory(equality)]) ).
cnf(8552,plain,
i(insert_cpq(triple(X,'SKOLEMAAAV9',Y),Z)) = insert_pq(i(triple(U,'SKOLEMAAAV9',V)),Z),
inference('PARAMODULATE',[status(thm)],[204,88,theory(equality)]) ).
cnf(9456,plain,
insert_pq(i(triple(X,'SKOLEMAAAV9',Y)),Z) = insert_pq(i(triple(U,'SKOLEMAAAV9',V)),Z),
inference('PARAMODULATE',[status(thm)],[8552,8552,theory(equality)]) ).
cnf(9457,plain,
i(triple(X,Y,Z)) = i(triple(U,Y,V)),
inference('REWRITE',[status(thm)],[228,9456,theory(equality)]) ).
cnf(9673,plain,
i(insert_cpq(triple('SKOLEMAAAV16','SKOLEMAAAV17','SKOLEMAAAV18'),'SKOLEMAAAV19')) != insert_pq(i(triple(X,'SKOLEMAAAV17',Y)),'SKOLEMAAAV19'),
inference('PARAMODULATE',[status(thm)],[91,9457,theory(equality)]) ).
cnf(9680,plain,
i(insert_cpq(triple(X,Y,Z),U)) = insert_pq(i(triple(V,Y,W)),U),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9457,55,theory(equality)]),68,theory(equality)]) ).
cnf(9681,plain,
$false,
inference('REWRITE',[status(thm)],[9673,9680,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV415+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 07:38:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 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)
% 0.20/0.47 (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 2022-06-15T07:38:06
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-15T07:38:06
% 5.22/5.41
% 5.22/5.41
% 5.22/5.41 #||
% 5.22/5.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.22/5.41 % SZS output start Refutation
% See solution above
% 5.22/5.42 ||#
% 5.22/5.42
% 5.22/5.42 ; Summary of computation:
% 5.22/5.42 ; 65457 formulas have been input or derived (from 1833 formulas).
% 5.22/5.42 ; 9681 (15%) were retained. Of these,
% 5.22/5.42 ; 118 ( 1%) were simplified or subsumed later,
% 5.22/5.42 ; 9563 (99%) are still being kept.
% 5.22/5.42 ;
% 5.22/5.42 ; Run time in seconds excluding printing time:
% 5.22/5.42 ; 0.018 0% Read assertion file (1 call)
% 5.22/5.42 ; 0.004 0% Assert (64 calls)
% 5.22/5.42 ; 0.921 19% Process new row (63,784 calls)
% 5.22/5.42 ; 0.427 9% Resolution (3,664 calls)
% 5.22/5.42 ; 0.346 7% Paramodulation (1,832 calls)
% 5.22/5.42 ; 0.000 0% Factoring (56 calls)
% 5.22/5.42 ; 0.335 7% Condensing (3,488 calls)
% 5.22/5.42 ; 0.216 4% Forward subsumption (3,487 calls)
% 5.22/5.42 ; 0.120 2% Backward subsumption (1,697 calls)
% 5.22/5.42 ; 0.161 3% Clause clause subsumption (6,747 calls)
% 5.22/5.42 ; 1.718 35% Forward simplification (62,758 calls)
% 5.22/5.42 ; 0.099 2% Backward simplification (9,679 calls)
% 5.22/5.42 ; 0.352 7% Ordering (163,869 calls)
% 5.22/5.42 ; 0.000 0% Sortal reasoning (32 calls)
% 5.22/5.42 ; 0.000 0% Purity testing (1 call)
% 5.22/5.42 ; 0.224 5% Other
% 5.22/5.42 ; 4.941 Total
% 5.22/5.42 ; 4.943 Real time
% 5.22/5.42 ;
% 5.22/5.42 ; Term-hash-array has 19,326 terms in all.
% 5.22/5.42 ; Feature-vector-row-index has 1,665 entries (1,665 at peak, 1,697 added, 32 deleted).
% 5.22/5.42 ; Feature-vector-row-index has 16,982 nodes (16,997 at peak, 17,352 added, 370 deleted).
% 5.22/5.42 ; Retrieved 12,754 possibly forward subsuming rows in 3,487 calls.
% 5.22/5.42 ; Retrieved 332 possibly backward subsumed rows in 1,697 calls.
% 5.22/5.42 ; Path-index has 19,097 entries (19,099 at peak, 19,437 added, 340 deleted).
% 5.22/5.42 ; Path-index has 55,294 nodes (55,300 at peak, 55,817 added, 523 deleted).
% 5.22/5.42 ; Trie-index has 19,097 entries (19,099 at peak, 19,437 added, 340 deleted).
% 5.22/5.42 ; Trie-index has 89,239 nodes (89,262 at peak, 91,755 added, 2,516 deleted).
% 5.22/5.42 ; Retrieved 358,936 generalization terms in 456,159 calls.
% 5.22/5.42 ; Retrieved 9,771 instance terms in 8,033 calls.
% 5.22/5.42 ; Retrieved 185,984 unifiable terms in 26,992 calls.
% 5.22/5.42 ;
% 5.22/5.42 ; The agenda of rows to process has 977 entries:
% 5.22/5.42 ; 1 with value 24 96 with value 30 80 with value 35
% 5.22/5.42 ; 32 with value 25 104 with value 31 104 with value 36
% 5.22/5.42 ; 48 with value 27 80 with value 32 64 with value 37
% 5.22/5.42 ; 80 with value 28 104 with value 33 28 with value 38
% 5.22/5.42 ; 48 with value 29 96 with value 34 12 with value 39
% 5.22/5.42 ; The agenda of rows to give has 7751 entries:
% 5.22/5.42 ; 3 with value (4 19) 24 with value (4 45) 5 with value (4 71)
% 5.22/5.42 ; 1 with value (4 20) 31 with value (4 46) 6 with value (4 72)
% 5.22/5.42 ; 12 with value (4 21) 39 with value (4 47) 3 with value (4 73)
% 5.22/5.42 ; 19 with value (4 22) 27 with value (4 48) 4 with value (4 74)
% 5.22/5.42 ; 733 with value (4 23) 44 with value (4 49) 6 with value (4 75)
% 5.22/5.42 ; 1201 with value (4 24) 41 with value (4 50) 7 with value (4 76)
% 5.22/5.42 ; 1696 with value (4 25) 26 with value (4 51) 3 with value (4 77)
% 5.22/5.42 ; 1054 with value (4 26) 32 with value (4 52) 4 with value (4 78)
% 5.22/5.42 ; 173 with value (4 27) 28 with value (4 53) 10 with value (4 79)
% 5.22/5.42 ; 197 with value (4 28) 35 with value (4 54) 10 with value (4 80)
% 5.22/5.42 ; 176 with value (4 29) 22 with value (4 55) 2 with value (4 81)
% 5.22/5.42 ; 208 with value (4 30) 39 with value (4 56) 1 with value (4 82)
% 5.22/5.42 ; 146 with value (4 31) 24 with value (4 57) 7 with value (4 83)
% 5.22/5.42 ; 163 with value (4 32) 19 with value (4 58) 9 with value (4 84)
% 5.22/5.42 ; 195 with value (4 33) 27 with value (4 59) 8 with value (4 85)
% 5.22/5.42 ; 133 with value (4 34) 27 with value (4 60) 6 with value (4 86)
% 5.22/5.42 ; 109 with value (4 35) 15 with value (4 61) 7 with value (4 87)
% 5.22/5.42 ; 138 with value (4 36) 22 with value (4 62) 8 with value (4 88)
% 5.22/5.42 ; 174 with value (4 37) 16 with value (4 63) 8 with value (4 89)
% 5.22/5.42 ; 114 with value (4 38) 9 with value (4 64) 4 with value (4 90)
% 5.22/5.42 ; 101 with value (4 39) 15 with value (4 65) 8 with value (4 91)
% 5.22/5.42 ; 80 with value (4 40) 11 with value (4 66) 6 with value (4 92)
% 5.22/5.42 ; 74 with value (4 41) 9 with value (4 67) 2 with value (4 93)
% 5.22/5.42 ; 36 with value (4 42) 9 with value (4 68) 9 with value (4 94)
% 5.22/5.42 ; 25 with value (4 43) 12 with value (4 69) 3 with value (4 99)
% 5.22/5.42 ; 34 with value (4 44) 6 with value (4 70) 1 with value (4 100)
% 5.22/5.42 Evaluation took:
% 5.22/5.42 4.946 seconds of real time
% 5.22/5.42 4.439952 seconds of user run time
% 5.22/5.42 0.506103 seconds of system run time
% 5.22/5.42 [Run times include 0.658 seconds GC run time.]
% 5.22/5.42 0 calls to %EVAL
% 5.22/5.42 0 page faults and
% 5.22/5.42 395,364,960 bytes consed.
% 5.22/5.42 :PROOF-FOUND
% 5.22/5.42 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T07:38:11
% 5.22/5.42 :PROOF-FOUND
% 5.22/5.42 *
%------------------------------------------------------------------------------