TSTP Solution File: GRP709-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : Sat Jul 16 11:40:28 EDT 2022
% Result : Unsatisfiable 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 5 RR)
% Number of literals : 16 ( 15 equ; 4 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c06,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c07,axiom,
mult(X,mult(Y,mult(X,Z))) = mult(mult(X,mult(Y,X)),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c08,axiom,
mult(op_c,X) = mult(X,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c09,axiom,
mult(X,mult(Y,op_c)) = mult(mult(X,Y),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(goals,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(24,plain,
mult(op_c,mult(X,Y)) = mult(X,mult(Y,op_c)),
inference('PARAMODULATE',[status(thm)],[c08,c09,theory(equality)]) ).
cnf(38,plain,
mult(X,mult(X,Y)) = mult(mult(X,X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c07,c06,theory(equality)]),c06,theory(equality)]) ).
cnf(39,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(op_c,a)),b),
inference('REWRITE',[status(thm)],[goals,38,theory(equality)]) ).
cnf(44,plain,
mult(op_c,mult(X,mult(Y,op_c))) = mult(mult(op_c,mult(X,op_c)),Y),
inference('PARAMODULATE',[status(thm)],[c07,c08,theory(equality)]) ).
cnf(73,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(a,op_c)),b),
inference('PARAMODULATE',[status(thm)],[39,c08,theory(equality)]) ).
cnf(99,plain,
mult(op_c,mult(X,Y)) = mult(X,mult(op_c,Y)),
inference('PARAMODULATE',[status(thm)],[24,c08,theory(equality)]) ).
cnf(104,plain,
mult(op_c,mult(X,mult(Y,op_c))) = mult(mult(X,Y),mult(op_c,op_c)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,24,theory(equality)]),99,theory(equality)]) ).
cnf(106,plain,
mult(mult(X,Y),mult(op_c,op_c)) = mult(mult(op_c,mult(X,op_c)),Y),
inference('REWRITE',[status(thm)],[44,104,theory(equality)]) ).
cnf(107,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(a,b),mult(op_c,op_c)),
inference('REWRITE',[status(thm)],[73,106,theory(equality)]) ).
cnf(194,plain,
mult(mult(X,Y),mult(op_c,op_c)) = mult(mult(op_c,op_c),mult(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[38,24,theory(equality)]),104,theory(equality)]) ).
cnf(195,plain,
$false,
inference('REWRITE',[status(thm)],[107,194,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 : Mon Jun 13 23:23:40 EDT 2022
% 0.12/0.33 % 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 2022-06-13T23:23:40
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-13T23:23:40
% 0.19/0.47
% 0.19/0.47 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.42/0.59 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 535 formulas have been input or derived (from 29 formulas).
% 0.42/0.59 ; 195 (36%) were retained. Of these,
% 0.42/0.59 ; 34 (17%) were simplified or subsumed later,
% 0.42/0.59 ; 161 (83%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds excluding printing time:
% 0.42/0.59 ; 0.002 2% Read assertion file (1 call)
% 0.42/0.59 ; 0.000 0% Assert (10 calls)
% 0.42/0.59 ; 0.017 13% Process new row (500 calls)
% 0.42/0.59 ; 0.001 1% Resolution (56 calls)
% 0.42/0.59 ; 0.010 8% Paramodulation (28 calls)
% 0.42/0.59 ; 0.020 15% Forward simplification (500 calls)
% 0.42/0.59 ; 0.009 7% Backward simplification (195 calls)
% 0.42/0.59 ; 0.042 32% Ordering (5,374 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.000 0% Purity testing (1 call)
% 0.42/0.59 ; 0.029 22% Other
% 0.42/0.59 ; 0.130 Total
% 0.42/0.59 ; 0.131 Real time
% 0.42/0.59 ;
% 0.42/0.59 ; Term-hash-array has 541 terms in all.
% 0.42/0.59 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.42/0.59 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.42/0.59 ; Path-index has 468 entries (477 at peak, 563 added, 95 deleted).
% 0.42/0.59 ; Path-index has 721 nodes (733 at peak, 800 added, 79 deleted).
% 0.42/0.59 ; Trie-index has 468 entries (477 at peak, 563 added, 95 deleted).
% 0.42/0.59 ; Trie-index has 2,034 nodes (2,067 at peak, 2,394 added, 360 deleted).
% 0.42/0.59 ; Retrieved 5,130 generalization terms in 2,657 calls.
% 0.42/0.59 ; Retrieved 1,285 instance terms in 372 calls.
% 0.42/0.59 ; Retrieved 1,591 unifiable terms in 174 calls.
% 0.42/0.59 ;
% 0.42/0.59 ; The agenda of rows to process has 26 entries:
% 0.42/0.59 ; 1 with value 21 2 with value 30 1 with value 34
% 0.42/0.59 ; 7 with value 25 2 with value 31 2 with value 36
% 0.42/0.59 ; 11 with value 26
% 0.42/0.59 ; The agenda of rows to give has 133 entries:
% 0.42/0.59 ; 17 with value (4 16) 3 with value (4 22) 2 with value (4 29)
% 0.42/0.59 ; 22 with value (4 17) 1 with value (4 24) 13 with value (4 30)
% 0.42/0.59 ; 15 with value (4 20) 11 with value (4 25) 2 with value (4 34)
% 0.42/0.59 ; 38 with value (4 21) 7 with value (4 26) 2 with value (4 38)
% 0.42/0.59 Evaluation took:
% 0.42/0.59 0.131 seconds of real time
% 0.42/0.59 0.112956 seconds of user run time
% 0.42/0.59 0.017899 seconds of system run time
% 0.42/0.59 0 calls to %EVAL
% 0.42/0.59 0 page faults and
% 0.42/0.59 7,244,424 bytes consed.
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:23:40
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------