TSTP Solution File: NUM848+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM848+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 0.10s 0.36s
% Output : Refutation 0.10s
% 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p','holds(286, 441, 1)') ).
cnf(14,axiom,
vmul(vsucc(X),Y) = vplus(vmul(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
cnf(66,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference('REWRITE',[status(thm)],[2,14,4,theory(equality)]) ).
cnf(68,plain,
$false,
inference('REWRITE',[status(thm)],[1,66,14,2,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM848+1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.07 % Command : run-snark %s %d
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Thu Jul 7 10:42:53 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.10/0.33 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33 *
% 0.10/0.33 *
% 0.10/0.34 #<PACKAGE "SNARK-USER">
% 0.10/0.34 *
% 0.10/0.34 SNARK-TPTP-OPTIONS
% 0.10/0.34 *
% 0.10/0.34 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.10/0.34 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.10/0.34 (USE-FACTORING :POS)
% 0.10/0.34 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.10/0.34 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.10/0.34 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.10/0.34 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.10/0.34 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.10/0.34 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.10/0.34 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.10/0.34 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.10/0.34 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.10/0.34 (DECLARE-TPTP-SYMBOLS2))
% 0.10/0.34 *
% 0.10/0.34 "."
% 0.10/0.34 *
% 0.10/0.34 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T10:42:53
% 0.10/0.34 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-07T10:42:53
% 0.10/0.35
% 0.10/0.35 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.10/0.35 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.10/0.35 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.10/0.35 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.10/0.35 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.10/0.35 ; Declaring vplus to be commutative.
% 0.10/0.35 ; Declaring vplus to be associative-commutative.
% 0.10/0.36 ; Declaring vmul to be commutative.
% 0.10/0.36
% 0.10/0.36 #||
% 0.10/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % SZS output start Refutation
% See solution above
% 0.10/0.36 ||#
% 0.10/0.36
% 0.10/0.36 ; Summary of computation:
% 0.10/0.36 ; 85 formulas have been input or derived (from 1 formulas).
% 0.10/0.36 ; 68 (80%) were retained. Of these,
% 0.10/0.36 ; 13 (19%) were simplified or subsumed later,
% 0.10/0.36 ; 55 (81%) are still being kept.
% 0.10/0.36 ;
% 0.10/0.36 ; Run time in seconds:
% 0.10/0.36 ; 0.006 26% Read assertion file (1 call)
% 0.10/0.36 ; 0.001 4% Assert (57 calls)
% 0.10/0.36 ; 0.004 17% Process new row (84 calls)
% 0.10/0.36 ; 0.000 0% Embedding (9 calls)
% 0.10/0.36 ; 0.002 9% Condensing (44 calls)
% 0.10/0.36 ; 0.000 0% Forward subsumption (44 calls)
% 0.10/0.36 ; 0.000 0% Backward subsumption (40 calls)
% 0.10/0.36 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.10/0.36 ; 0.000 0% Forward simplification (75 calls)
% 0.10/0.36 ; 0.001 4% Backward simplification (59 calls)
% 0.10/0.36 ; 0.000 0% Ordering (21 calls)
% 0.10/0.36 ; 0.000 0% Ordering ac (13 calls)
% 0.10/0.36 ; 0.000 0% Sortal reasoning (32 calls)
% 0.10/0.36 ; 0.000 0% Purity testing (1 call)
% 0.10/0.36 ; 0.009 39% Other
% 0.10/0.36 ; 0.023 Total
% 0.10/0.36 ; 0.023 Real time
% 0.10/0.36 ;
% 0.10/0.36 ; Term-hash-array has 127 terms in all.
% 0.10/0.36 ; Feature-vector-row-index has 38 entries (38 at peak, 40 added, 2 deleted).
% 0.10/0.36 ; Feature-vector-row-index has 85 nodes (85 at peak, 91 added, 6 deleted).
% 0.10/0.36 ; Retrieved 8 possibly forward subsuming rows in 44 calls.
% 0.10/0.36 ; Retrieved 5 possibly backward subsumed rows in 40 calls.
% 0.10/0.36 ; Path-index has 101 entries (101 at peak, 143 added, 42 deleted).
% 0.10/0.36 ; Path-index has 195 nodes (195 at peak, 235 added, 40 deleted).
% 0.10/0.36 ; Trie-index has 101 entries (101 at peak, 143 added, 42 deleted).
% 0.10/0.36 ; Trie-index has 98 nodes (98 at peak, 125 added, 27 deleted).
% 0.10/0.36 ; Retrieved 150 generalization terms in 167 calls.
% 0.10/0.36 ; Retrieved 50 instance terms in 18 calls.
% 0.10/0.36 ;
% 0.10/0.36 ; The agenda of input rows to give has 54 entries:
% 0.10/0.36 ; 1 with value 4 4 with value 11 2 with value 16
% 0.10/0.36 ; 2 with value 6 10 with value 12 3 with value 17
% 0.10/0.36 ; 3 with value 7 8 with value 13 2 with value 19
% 0.10/0.36 ; 13 with value 8 3 with value 14 1 with value 24
% 0.10/0.36 ; 2 with value 10
% 0.10/0.36 Evaluation took:
% 0.10/0.36 0.023 seconds of real time
% 0.10/0.36 0.019563 seconds of user run time
% 0.10/0.36 0.004265 seconds of system run time
% 0.10/0.36 0 calls to %EVAL
% 0.10/0.36 0 page faults and
% 0.10/0.36 2,742,744 bytes consed.
% 0.10/0.36 :PROOF-FOUND
% 0.10/0.36 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T10:42:53
% 0.10/0.36 :PROOF-FOUND
% 0.10/0.36 *
%------------------------------------------------------------------------------