TSTP Solution File: NUM001-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:06:01 EDT 2022
% Result : Unsatisfiable 0.52s 0.68s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity,axiom,
( ~ equalish(X,Y)
| ~ equalish(Y,Z)
| equalish(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',transitivity) ).
cnf(commutativity_of_addition,axiom,
equalish(add(X,Y),add(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity_of_addition) ).
cnf(associativity_of_addition,axiom,
equalish(add(X,add(Y,Z)),add(add(X,Y),Z)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',associativity_of_addition) ).
cnf(prove_equation,negated_conjecture,
~ equalish(add(add(a,b),c),add(a,add(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(19,plain,
equalish(add(X,add(Y,Z)),add(Z,add(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[transitivity,associativity_of_addition,commutativity_of_addition]) ).
cnf(34,plain,
~ equalish(add(c,add(a,b)),add(a,add(b,c))),
inference('UR-RESOLVE',[status(thm)],[transitivity,prove_equation,commutativity_of_addition]) ).
cnf(870,plain,
equalish(add(X,add(Y,Z)),add(Y,add(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[transitivity,19,19]) ).
cnf(871,plain,
$false,
inference('REWRITE',[status(thm)],[34,870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jul 6 03:32:57 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T03:32:58
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-06T03:32:58
% 0.52/0.68
% 0.52/0.68
% 0.52/0.68 #||
% 0.52/0.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.68 % SZS output start Refutation
% See solution above
% 0.52/0.69 ||#
% 0.52/0.69
% 0.52/0.69 ; Summary of computation:
% 0.52/0.69 ; 2347 formulas have been input or derived (from 26 formulas).
% 0.52/0.69 ; 871 (37%) were retained. Of these,
% 0.52/0.69 ; 1 ( 0%) were simplified or subsumed later,
% 0.52/0.69 ; 870 (100%) are still being kept.
% 0.52/0.69 ;
% 0.52/0.69 ; Run time in seconds excluding printing time:
% 0.52/0.69 ; 0.003 1% Read assertion file (1 call)
% 0.52/0.69 ; 0.001 0% Assert (13 calls)
% 0.52/0.69 ; 0.085 37% Process new row (2,115 calls)
% 0.52/0.69 ; 0.067 29% Resolution (50 calls)
% 0.52/0.69 ; 0.001 0% Paramodulation (25 calls)
% 0.52/0.69 ; 0.000 0% Condensing (5 calls)
% 0.52/0.69 ; 0.000 0% Forward subsumption (5 calls)
% 0.52/0.69 ; 0.000 0% Backward subsumption (5 calls)
% 0.52/0.69 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.52/0.69 ; 0.019 8% Forward simplification (2,115 calls)
% 0.52/0.69 ; 0.022 10% Backward simplification (871 calls)
% 0.52/0.69 ; 0.001 0% Sortal reasoning (32 calls)
% 0.52/0.69 ; 0.000 0% Purity testing (1 call)
% 0.52/0.69 ; 0.032 14% Other
% 0.52/0.69 ; 0.231 Total
% 0.52/0.69 ; 0.244 Real time
% 0.52/0.69 ;
% 0.52/0.69 ; Term-hash-array has 2,006 terms in all.
% 0.52/0.69 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.52/0.69 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.52/0.69 ; Retrieved 6 possibly forward subsuming rows in 5 calls.
% 0.52/0.69 ; Retrieved 2 possibly backward subsumed rows in 5 calls.
% 0.52/0.69 ; Path-index has 2,007 entries (2,009 at peak, 2,009 added, 2 deleted).
% 0.52/0.69 ; Path-index has 2,325 nodes (2,329 at peak, 2,329 added, 4 deleted).
% 0.52/0.69 ; Trie-index has 2,007 entries (2,009 at peak, 2,009 added, 2 deleted).
% 0.52/0.69 ; Trie-index has 5,056 nodes (5,068 at peak, 5,068 added, 12 deleted).
% 0.52/0.69 ; Retrieved 6,815 generalization terms in 2,123 calls.
% 0.52/0.69 ; Retrieved 2,431 instance terms in 865 calls.
% 0.52/0.69 ; Retrieved 66,046 unifiable terms in 1,736 calls.
% 0.52/0.69 ;
% 0.52/0.69 ; The agenda of rows to process has 193 entries:
% 0.52/0.69 ; 17 with value 16 38 with value 22 20 with value 26
% 0.52/0.69 ; 4 with value 17 26 with value 23 16 with value 27
% 0.52/0.69 ; 8 with value 18 8 with value 24 16 with value 28
% 0.52/0.69 ; 40 with value 21
% 0.52/0.69 ; The agenda of rows to give has 844 entries:
% 0.52/0.69 ; 14 with value (4 15) 83 with value (4 20) 33 with value (4 25)
% 0.52/0.69 ; 29 with value (4 16) 62 with value (4 21) 19 with value (4 26)
% 0.52/0.69 ; 54 with value (4 17) 119 with value (4 22) 20 with value (4 27)
% 0.52/0.69 ; 103 with value (4 18) 116 with value (4 23) 32 with value (4 28)
% 0.52/0.69 ; 107 with value (4 19) 53 with value (4 24)
% 0.52/0.69 Evaluation took:
% 0.52/0.69 0.245 seconds of real time
% 0.52/0.69 0.219647 seconds of user run time
% 0.52/0.69 0.023982 seconds of system run time
% 0.52/0.69 [Run times include 0.012 seconds GC run time.]
% 0.52/0.69 0 calls to %EVAL
% 0.52/0.69 0 page faults and
% 0.52/0.69 13,021,184 bytes consed.
% 0.52/0.69 :PROOF-FOUND
% 0.52/0.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T03:32:58
% 0.52/0.69 :PROOF-FOUND
% 0.52/0.69 *
%------------------------------------------------------------------------------