TSTP Solution File: NUM840+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:14:33 EDT 2022
% Result : Theorem 8.32s 8.55s
% Output : Refutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 7 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ less(vd328,vd329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).
cnf(2,axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).
cnf(27,axiom,
( ~ less(X,Y)
| Y = vplus(X,'SKOLEMAAAV1'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
cnf(28,axiom,
( less(X,Y)
| Y != vplus(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
cnf(34,axiom,
( X = Y
| vplus(X,Z) != vplus(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
cnf(64,plain,
vd329 != vplus(vd328,X),
inference('UR-RESOLVE',[status(thm)],[28,1]) ).
cnf(103,plain,
vplus(vd329,vd330) = vplus(vd328,vplus(vd330,'SKOLEMAAAV1'(vplus(vd329,vd330),vplus(vd328,vd330)))),
inference('HYPERRESOLVE',[status(thm)],[27,2]) ).
cnf(239,plain,
vplus(vd329,X) != vplus(vd328,vplus(Y,X)),
inference('UR-RESOLVE',[status(thm)],[34,64]) ).
cnf(240,plain,
$false,
inference('REWRITE',[status(thm)],[103,239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 : Thu Jul 7 00:13:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/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)
% 0.20/0.47 (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/sandbox/benchmark/theBenchmark.p 2022-07-07T00:13:52
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-07T00:13:52
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.20/0.49 ; Declaring vplus to be commutative.
% 8.32/8.55 ; Declaring vplus to be associative-commutative.
% 8.32/8.55
% 8.32/8.55 #||
% 8.32/8.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.32/8.55 % SZS output start Refutation
% See solution above
% 8.32/8.55 ||#
% 8.32/8.55
% 8.32/8.55 ; Summary of computation:
% 8.32/8.55 ; 2609 formulas have been input or derived (from 55 formulas).
% 8.32/8.55 ; 240 ( 9%) were retained. Of these,
% 8.32/8.55 ; 7 ( 3%) were simplified or subsumed later,
% 8.32/8.55 ; 233 (97%) are still being kept.
% 8.32/8.55 ;
% 8.32/8.55 ; Run time in seconds:
% 8.32/8.55 ; 0.007 0% Read assertion file (1 call)
% 8.32/8.55 ; 0.002 0% Assert (39 calls)
% 8.32/8.55 ; 0.017 0% Process new row (2,513 calls)
% 8.32/8.55 ; 7.759 96% Resolution (108 calls)
% 8.32/8.55 ; 0.009 0% Paramodulation (54 calls)
% 8.32/8.55 ; 0.000 0% Factoring (3 calls)
% 8.32/8.55 ; 0.001 0% Embedding (11 calls)
% 8.32/8.55 ; 0.082 1% Condensing (528 calls)
% 8.32/8.55 ; 0.018 0% Forward subsumption (528 calls)
% 8.32/8.55 ; 0.002 0% Backward subsumption (142 calls)
% 8.32/8.55 ; 0.034 0% Clause clause subsumption (688 calls)
% 8.32/8.55 ; 0.113 1% Forward simplification (2,502 calls)
% 8.32/8.55 ; 0.002 0% Backward simplification (229 calls)
% 8.32/8.55 ; 0.002 0% Ordering (511 calls)
% 8.32/8.55 ; 0.001 0% Ordering ac (136 calls)
% 8.32/8.55 ; 0.001 0% Sortal reasoning (32 calls)
% 8.32/8.55 ; 0.001 0% Purity testing (1 call)
% 8.32/8.55 ; 0.026 0% Other
% 8.32/8.55 ; 8.077 Total
% 8.32/8.55 ; 8.077 Real time
% 8.32/8.55 ;
% 8.32/8.55 ; Term-hash-array has 389 terms in all.
% 8.32/8.55 ; Feature-vector-row-index has 140 entries (140 at peak, 142 added, 2 deleted).
% 8.32/8.55 ; Feature-vector-row-index has 451 nodes (451 at peak, 479 added, 28 deleted).
% 8.32/8.55 ; Retrieved 1,785 possibly forward subsuming rows in 528 calls.
% 8.32/8.55 ; Retrieved 21 possibly backward subsumed rows in 142 calls.
% 8.32/8.55 ; Path-index has 381 entries (386 at peak, 396 added, 15 deleted).
% 8.32/8.55 ; Path-index has 582 nodes (594 at peak, 605 added, 23 deleted).
% 8.32/8.55 ; Trie-index has 381 entries (386 at peak, 396 added, 15 deleted).
% 8.32/8.55 ; Trie-index has 312 nodes (313 at peak, 322 added, 10 deleted).
% 8.32/8.55 ; Retrieved 85,207 generalization terms in 24,941 calls.
% 8.32/8.55 ; Retrieved 156 instance terms in 86 calls.
% 8.32/8.55 ; Retrieved 15,821 unifiable terms in 1,104 calls.
% 8.32/8.55 ;
% 8.32/8.55 ; The agenda of rows to process has 23 entries:
% 8.32/8.55 ; 2 with value 13 8 with value 17 1 with value 24
% 8.32/8.55 ; 3 with value 14 1 with value 20 1 with value 28
% 8.32/8.55 ; 3 with value 16 4 with value 21
% 8.32/8.55 ; The agenda of rows to give has 178 entries:
% 8.32/8.55 ; 14 with value (4 8) 3 with value (4 20) 6 with value (4 36)
% 8.32/8.55 ; 10 with value (4 9) 1 with value (4 21) 5 with value (4 37)
% 8.32/8.55 ; 11 with value (4 10) 6 with value (4 22) 4 with value (4 40)
% 8.32/8.55 ; 17 with value (4 11) 5 with value (4 23) 2 with value (4 42)
% 8.32/8.55 ; 5 with value (4 12) 1 with value (4 24) 2 with value (4 43)
% 8.32/8.55 ; 13 with value (4 13) 5 with value (4 25) 1 with value (4 44)
% 8.32/8.55 ; 10 with value (4 14) 4 with value (4 26) 1 with value (4 45)
% 8.32/8.55 ; 4 with value (4 15) 3 with value (4 27) 1 with value (4 48)
% 8.32/8.55 ; 8 with value (4 16) 3 with value (4 28) 2 with value (4 51)
% 8.32/8.55 ; 6 with value (4 17) 3 with value (4 29) 2 with value (4 61)
% 8.32/8.55 ; 6 with value (4 18) 3 with value (4 31) 2 with value (4 67)
% 8.32/8.55 ; 7 with value (4 19) 2 with value (4 34)
% 8.32/8.55 Evaluation took:
% 8.32/8.55 8.078 seconds of real time
% 8.32/8.55 8.026805 seconds of user run time
% 8.32/8.55 0.051613 seconds of system run time
% 8.32/8.55 [Run times include 0.176 seconds GC run time.]
% 8.32/8.55 0 calls to %EVAL
% 8.32/8.55 0 page faults and
% 8.32/8.55 802,895,904 bytes consed.
% 8.32/8.55 :PROOF-FOUND
% 8.32/8.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T00:14:00
% 8.32/8.55 :PROOF-FOUND
% 8.32/8.55 *
%------------------------------------------------------------------------------