TSTP Solution File: NUM851+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.51s
% 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(61,plain,
$false,
inference('REWRITE',[status(thm)],[1,4,7,2,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 20:44:44 EDT 2022
% 0.13/0.34 % 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)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T20:44:44
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-07T20:44:44
% 0.19/0.49
% 0.19/0.49 ; Recognized associativity assertion (= (|vmul| (|vmul| ?X ?Y) ?Z) (|vmul| ?X (|vmul| ?Y ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.19/0.49 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?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 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.19/0.49 ; Declaring vmul to be commutative.
% 0.19/0.49 ; Declaring vmul to be associative-commutative.
% 0.19/0.49 ; Declaring vplus to be commutative.
% 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/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 ; 74 formulas have been input or derived (from 1 formulas).
% 0.19/0.51 ; 61 (82%) were retained. Of these,
% 0.19/0.51 ; 5 ( 8%) were simplified or subsumed later,
% 0.19/0.51 ; 56 (92%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.011 24% Read assertion file (1 call)
% 0.19/0.51 ; 0.003 7% Assert (54 calls)
% 0.19/0.51 ; 0.005 11% Process new row (74 calls)
% 0.19/0.51 ; 0.000 0% Embedding (7 calls)
% 0.19/0.51 ; 0.001 2% Condensing (44 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (44 calls)
% 0.19/0.51 ; 0.001 2% Backward subsumption (40 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.19/0.51 ; 0.003 7% Forward simplification (68 calls)
% 0.19/0.51 ; 0.001 2% Backward simplification (55 calls)
% 0.19/0.51 ; 0.000 0% Ordering (14 calls)
% 0.19/0.51 ; 0.000 0% Ordering ac (6 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 46% Other
% 0.19/0.51 ; 0.046 Total
% 0.19/0.51 ; 0.047 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 105 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 38 entries (38 at peak, 40 added, 2 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 81 nodes (81 at peak, 87 added, 6 deleted).
% 0.19/0.51 ; Retrieved 14 possibly forward subsuming rows in 44 calls.
% 0.19/0.51 ; Retrieved 12 possibly backward subsumed rows in 40 calls.
% 0.19/0.51 ; Path-index has 97 entries (97 at peak, 111 added, 14 deleted).
% 0.19/0.51 ; Path-index has 169 nodes (169 at peak, 190 added, 21 deleted).
% 0.19/0.51 ; Trie-index has 97 entries (97 at peak, 111 added, 14 deleted).
% 0.19/0.51 ; Trie-index has 77 nodes (77 at peak, 84 added, 7 deleted).
% 0.19/0.51 ; Retrieved 160 generalization terms in 143 calls.
% 0.19/0.51 ; Retrieved 39 instance terms in 14 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of input rows to give has 55 entries:
% 0.19/0.51 ; 2 with value 4 2 with value 10 3 with value 14
% 0.19/0.51 ; 2 with value 6 4 with value 11 2 with value 16
% 0.19/0.51 ; 5 with value 7 10 with value 12 3 with value 17
% 0.19/0.51 ; 13 with value 8 8 with value 13 1 with value 24
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.048 seconds of real time
% 0.19/0.51 0.035869 seconds of user run time
% 0.19/0.51 0.0122 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 2,439,864 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T20:44:44
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------