TSTP Solution File: NUM849+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM849+2 : 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 14:14:39 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 8 equ; 3 neg)
% Maximal clause size : 2 ( 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 : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vmul(vmul(vd448,vd449),'SKOLEMAAAU1') = vmul(vd448,vmul(vd449,'SKOLEMAAAU1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(296), imp(296))') ).
cnf(2,negated_conjecture,
vmul(vmul(vd448,vd449),vsucc('SKOLEMAAAU1')) != vmul(vd448,vmul(vd449,vsucc('SKOLEMAAAU1'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(296), imp(296))') ).
cnf(5,axiom,
( vmul(vmul(vd448,vd449),X) != vmul(vd448,vmul(vd449,X))
| vplus(vmul(vmul(vd448,vd449),X),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,X)),vmul(vd448,vd449)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(292), 1), 2)') ).
cnf(8,axiom,
vmul(X,vplus(Y,Z)) = vplus(vmul(X,Y),vmul(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
cnf(9,axiom,
vmul(vsucc(X),Y) = vplus(vmul(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
cnf(13,plain,
( vmul(vmul(vd448,vd449),X) != vmul(vd448,vmul(vd449,X))
| vmul(vmul(vd448,vd449),vsucc(X)) = vmul(vd448,vmul(vd449,vsucc(X))) ),
inference('REWRITE',[status(thm)],[5,9,8,theory(equality)]) ).
cnf(22,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[13,1,2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % 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 22:21:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T22:21:22
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-07T22:21:22
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 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 ; Declaring vmul to be commutative.
% 0.19/0.51 ; Declaring vplus to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/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 ; 58 formulas have been input or derived (from 9 formulas).
% 0.19/0.51 ; 22 (38%) were retained. Of these,
% 0.19/0.51 ; 5 (23%) were simplified or subsumed later,
% 0.19/0.51 ; 17 (77%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.004 11% Read assertion file (1 call)
% 0.19/0.51 ; 0.000 0% Assert (12 calls)
% 0.19/0.51 ; 0.003 8% Process new row (50 calls)
% 0.19/0.51 ; 0.000 0% Resolution (16 calls)
% 0.19/0.51 ; 0.002 6% Paramodulation (8 calls)
% 0.19/0.51 ; 0.000 0% Condensing (5 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (5 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (5 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (50 calls)
% 0.19/0.51 ; 0.002 6% Backward simplification (22 calls)
% 0.19/0.51 ; 0.001 3% Ordering (73 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 ; 0.023 64% Other
% 0.19/0.51 ; 0.036 Total
% 0.19/0.51 ; 0.038 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 83 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 1 entry (4 at peak, 5 added, 4 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 24 nodes (85 at peak, 108 added, 84 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.51 ; Path-index has 76 entries (76 at peak, 94 added, 18 deleted).
% 0.19/0.51 ; Path-index has 119 nodes (119 at peak, 143 added, 24 deleted).
% 0.19/0.51 ; Trie-index has 76 entries (76 at peak, 94 added, 18 deleted).
% 0.19/0.51 ; Trie-index has 277 nodes (277 at peak, 373 added, 96 deleted).
% 0.19/0.51 ; Retrieved 66 generalization terms in 248 calls.
% 0.19/0.51 ; Retrieved 36 instance terms in 17 calls.
% 0.19/0.51 ; Retrieved 107 unifiable terms in 56 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 8 entries:
% 0.19/0.51 ; 1 with value 15 2 with value 30 1 with value 32
% 0.19/0.51 ; 4 with value 18
% 0.19/0.51 ; The agenda of rows to give has 8 entries:
% 0.19/0.51 ; 1 with value (4 12) 2 with value (4 19) 1 with value (4 24)
% 0.19/0.51 ; 3 with value (4 18) 1 with value (4 22)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.038 seconds of real time
% 0.19/0.51 0.030808 seconds of user run time
% 0.19/0.51 0.007041 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 2,333,264 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T22:21:22
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------