TSTP Solution File: NUM848+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:14:38 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
cnf(2,axiom,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 2)') ).
cnf(4,axiom,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 1)') ).
cnf(13,axiom,
vmul(X,vsucc(Y)) = vplus(vmul(X,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
cnf(21,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference('REWRITE',[status(thm)],[2,13,4,theory(equality)]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[1,21,13,2,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 : Wed Jul 6 15:03:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T15:03:53
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-06T15:03:53
% 0.19/0.49
% 0.19/0.49 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.19/0.49 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.19/0.49 ; Declaring vplus to be commutative.
% 0.19/0.49 WARNING:
% 0.19/0.49 |less| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |leq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.51 ; Declaring vplus to be associative-commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 33 formulas have been input or derived (from 1 formulas).
% 0.19/0.51 ; 23 (70%) were retained. Of these,
% 0.19/0.51 ; 10 (43%) were simplified or subsumed later,
% 0.19/0.51 ; 13 (57%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds:
% 0.19/0.51 ; 0.004 12% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (16 calls)
% 0.19/0.51 ; 0.001 3% Process new row (32 calls)
% 0.19/0.51 ; 0.000 0% Embedding (9 calls)
% 0.19/0.51 ; 0.000 0% Condensing (1 call)
% 0.19/0.51 ; 0.000 0% Forward subsumption (1 call)
% 0.19/0.51 ; 0.000 0% Backward subsumption (1 call)
% 0.19/0.51 ; 0.002 6% Forward simplification (22 calls)
% 0.19/0.51 ; 0.003 9% Backward simplification (14 calls)
% 0.19/0.51 ; 0.000 0% Ordering (20 calls)
% 0.19/0.51 ; 0.000 0% Ordering ac (13 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 66% Other
% 0.19/0.51 ; 0.032 Total
% 0.19/0.51 ; 0.034 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 68 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.19/0.51 ; Path-index has 48 entries (48 at peak, 84 added, 36 deleted).
% 0.19/0.51 ; Path-index has 109 nodes (109 at peak, 145 added, 36 deleted).
% 0.19/0.51 ; Trie-index has 48 entries (48 at peak, 84 added, 36 deleted).
% 0.19/0.51 ; Trie-index has 51 nodes (51 at peak, 75 added, 24 deleted).
% 0.19/0.51 ; Retrieved 62 generalization terms in 66 calls.
% 0.19/0.51 ; Retrieved 23 instance terms in 12 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of input rows to give has 12 entries:
% 0.19/0.51 ; 1 with value 7 3 with value 12 2 with value 16
% 0.19/0.51 ; 2 with value 8 2 with value 13 2 with value 19
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.034 seconds of real time
% 0.19/0.51 0.026801 seconds of user run time
% 0.19/0.51 0.006972 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 1,957,176 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T15:03:53
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------