TSTP Solution File: NUM851+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM851+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 14:14:40 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 5 ( 4 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).
cnf(2,axiom,
vmul(vd470,vd469) = vmul(vplus(vd471,vd473),vd469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(conseq(302)), 475, 0)') ).
cnf(4,axiom,
vd470 = vplus(vd471,vd473),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq(302)), 474, 0)') ).
cnf(7,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(26,plain,
$false,
inference('REWRITE',[status(thm)],[1,4,7,2,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 14:10:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (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/sandbox/benchmark/theBenchmark.p 2022-07-05T14:10:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-05T14:10:52
% 0.19/0.48
% 0.19/0.48 ; Recognized associativity assertion (= (|vmul| (|vmul| ?X ?Y) ?Z) (|vmul| ?X (|vmul| ?Y ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.19/0.48 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.19/0.48 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.19/0.48 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.19/0.48 ; Declaring vmul to be commutative.
% 0.19/0.48 ; Declaring vmul to be associative-commutative.
% 0.19/0.48 ; Declaring vplus to be commutative.
% 0.19/0.48 WARNING:
% 0.19/0.48 |less| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |leq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |geq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50 ; Declaring vplus to be associative-commutative.
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 38 formulas have been input or derived (from 1 formulas).
% 0.19/0.50 ; 26 (68%) were retained. Of these,
% 0.19/0.50 ; 3 (12%) were simplified or subsumed later,
% 0.19/0.50 ; 23 (88%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds:
% 0.19/0.50 ; 0.005 14% Read assertion file (1 call)
% 0.19/0.50 ; 0.002 6% Assert (27 calls)
% 0.19/0.50 ; 0.002 6% Process new row (38 calls)
% 0.19/0.50 ; 0.000 0% Embedding (7 calls)
% 0.19/0.50 ; 0.002 6% Condensing (9 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (9 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (8 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.50 ; 0.002 6% Forward simplification (30 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (20 calls)
% 0.19/0.50 ; 0.000 0% Ordering (14 calls)
% 0.19/0.50 ; 0.000 0% Ordering ac (6 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.023 64% Other
% 0.19/0.50 ; 0.036 Total
% 0.19/0.50 ; 0.036 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 70 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 31 nodes (31 at peak, 31 added, 0 deleted).
% 0.19/0.50 ; Retrieved 2 possibly forward subsuming rows in 9 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.19/0.50 ; Path-index has 65 entries (65 at peak, 76 added, 11 deleted).
% 0.19/0.50 ; Path-index has 122 nodes (122 at peak, 141 added, 19 deleted).
% 0.19/0.50 ; Trie-index has 65 entries (65 at peak, 76 added, 11 deleted).
% 0.19/0.50 ; Trie-index has 52 nodes (52 at peak, 57 added, 5 deleted).
% 0.19/0.50 ; Retrieved 83 generalization terms in 70 calls.
% 0.19/0.50 ; Retrieved 30 instance terms in 11 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of input rows to give has 22 entries:
% 0.19/0.50 ; 1 with value 4 3 with value 11 2 with value 14
% 0.19/0.50 ; 1 with value 6 3 with value 12 2 with value 16
% 0.19/0.50 ; 4 with value 7 3 with value 13 1 with value 24
% 0.19/0.50 ; 2 with value 8
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.036 seconds of real time
% 0.19/0.50 0.030076 seconds of user run time
% 0.19/0.50 0.006558 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 1,928,208 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T14:10:52
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------