TSTP Solution File: GRP671-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 11:40:14 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 12 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c02,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c05,axiom,
mult(X,unit) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c06,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c07,axiom,
mult(i(X),mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c09,axiom,
mult(mult(X,Y),mult(Z,mult(X,Y))) = mult(mult(mult(X,mult(Y,Z)),X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(20,plain,
ld(i(X),Y) = mult(X,Y),
inference('PARAMODULATE',[status(thm)],[c02,c07,theory(equality)]) ).
cnf(24,plain,
ld(i(unit),X) = X,
inference('REWRITE',[status(thm)],[c06,20,theory(equality)]) ).
cnf(29,plain,
ld(i(ld(i(X),Y)),ld(i(Z),ld(i(X),Y))) = ld(i(ld(i(ld(i(X),ld(i(Y),Z))),X)),Y),
inference('REWRITE',[status(thm)],[c09,20,theory(equality)]) ).
cnf(30,plain,
ld(i(X),unit) = X,
inference('REWRITE',[status(thm)],[c05,20,theory(equality)]) ).
cnf(31,plain,
ld(i(ld(i(a),b)),a) != ld(i(a),ld(i(b),a)),
inference('REWRITE',[status(thm)],[goals,20,theory(equality)]) ).
cnf(42,plain,
ld(i(X),ld(i(Y),X)) = ld(i(ld(i(X),Y)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,29,theory(equality)]),24,30,theory(equality)]) ).
cnf(43,plain,
$false,
inference('REWRITE',[status(thm)],[31,42,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.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 : Mon Jun 13 08:58:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T08:58:06
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-13T08:58:06
% 0.18/0.48
% 0.18/0.48 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.18/0.50 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 129 formulas have been input or derived (from 18 formulas).
% 0.18/0.50 ; 43 (33%) were retained. Of these,
% 0.18/0.50 ; 26 (60%) were simplified or subsumed later,
% 0.18/0.50 ; 17 (40%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 3% Assert (10 calls)
% 0.18/0.50 ; 0.004 11% Process new row (111 calls)
% 0.18/0.50 ; 0.000 0% Resolution (34 calls)
% 0.18/0.50 ; 0.005 14% Paramodulation (17 calls)
% 0.18/0.50 ; 0.001 3% Forward simplification (108 calls)
% 0.18/0.50 ; 0.003 8% Backward simplification (43 calls)
% 0.18/0.50 ; 0.000 0% Ordering (211 calls)
% 0.18/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.021 57% Other
% 0.18/0.50 ; 0.037 Total
% 0.18/0.50 ; 0.039 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 122 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.50 ; Path-index has 53 entries (67 at peak, 131 added, 78 deleted).
% 0.18/0.50 ; Path-index has 282 nodes (306 at peak, 401 added, 119 deleted).
% 0.18/0.50 ; Trie-index has 53 entries (67 at peak, 131 added, 78 deleted).
% 0.18/0.50 ; Trie-index has 188 nodes (234 at peak, 435 added, 247 deleted).
% 0.18/0.50 ; Retrieved 161 generalization terms in 296 calls.
% 0.18/0.50 ; Retrieved 82 instance terms in 44 calls.
% 0.18/0.50 ; Retrieved 251 unifiable terms in 111 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 18 entries:
% 0.18/0.50 ; 2 with value 31 2 with value 36 1 with value 44
% 0.18/0.50 ; 3 with value 32 2 with value 38 1 with value 52
% 0.18/0.50 ; 1 with value 33 1 with value 39 1 with value 74
% 0.18/0.50 ; 2 with value 34 1 with value 42 1 with value 88
% 0.18/0.50 ; The agenda of rows to give has 9 entries:
% 0.18/0.50 ; 2 with value (4 8) 1 with value (4 12) 2 with value (4 14)
% 0.18/0.50 ; 1 with value (4 9) 1 with value (4 13) 1 with value (4 21)
% 0.18/0.50 ; 1 with value (4 11)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.039 seconds of real time
% 0.18/0.50 0.034856 seconds of user run time
% 0.18/0.50 0.004165 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,677,672 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T08:58:06
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------