TSTP Solution File: GRP698-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP698-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 11:40:23 EDT 2022
% Result : Unsatisfiable 0.92s 1.13s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 3 RR)
% Number of literals : 21 ( 20 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(X,ld(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c03,axiom,
mult(rd(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
cnf(c04,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
cnf(c05,axiom,
mult(X,unit) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(c06,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c07,axiom,
mult(mult(mult(X,Y),X),mult(X,Z)) = mult(X,mult(mult(mult(Y,X),X),Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
cnf(c08,axiom,
mult(mult(X,Y),mult(Y,mult(Z,Y))) = mult(mult(X,mult(Y,mult(Y,Z))),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
cnf(goals,negated_conjecture,
mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(17,plain,
mult(mult(mult(X,Y),X),X) = mult(X,mult(mult(Y,X),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c07,c05,theory(equality)]),c05,theory(equality)]) ).
cnf(20,plain,
mult(mult(mult(X,rd(Y,X)),X),mult(X,Z)) = mult(X,mult(mult(Y,X),Z)),
inference('PARAMODULATE',[status(thm)],[c07,c03,theory(equality)]) ).
cnf(26,plain,
mult(X,mult(X,mult(Y,X))) = mult(mult(X,mult(X,Y)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c08,c06,theory(equality)]),c06,theory(equality)]) ).
cnf(64,plain,
rd(mult(X,mult(mult(Y,X),X)),X) = mult(mult(X,Y),X),
inference('PARAMODULATE',[status(thm)],[c04,17,theory(equality)]) ).
cnf(113,plain,
rd(mult(X,mult(X,mult(Y,X))),X) = mult(X,mult(X,Y)),
inference('PARAMODULATE',[status(thm)],[c04,26,theory(equality)]) ).
cnf(222,plain,
rd(mult(X,mult(Y,X)),X) = mult(mult(X,rd(Y,X)),X),
inference('PARAMODULATE',[status(thm)],[64,c03,theory(equality)]) ).
cnf(403,plain,
rd(mult(X,mult(X,Y)),X) = mult(X,mult(X,rd(Y,X))),
inference('PARAMODULATE',[status(thm)],[113,c03,theory(equality)]) ).
cnf(530,plain,
rd(mult(X,Y),X) = mult(mult(X,rd(rd(Y,X),X)),X),
inference('PARAMODULATE',[status(thm)],[222,c03,theory(equality)]) ).
cnf(1050,plain,
rd(mult(X,Y),X) = mult(X,mult(X,rd(ld(X,Y),X))),
inference('PARAMODULATE',[status(thm)],[403,c01,theory(equality)]) ).
cnf(1064,plain,
mult(X,mult(X,rd(ld(X,Y),X))) = mult(mult(X,rd(rd(Y,X),X)),X),
inference('REWRITE',[status(thm)],[530,1050,theory(equality)]) ).
cnf(1066,plain,
mult(a,mult(b,c)) != mult(mult(a,mult(a,rd(ld(a,b),a))),mult(a,c)),
inference('REWRITE',[status(thm)],[goals,1050,theory(equality)]) ).
cnf(1460,plain,
mult(mult(X,mult(X,rd(ld(X,Y),X))),mult(X,Z)) = mult(X,mult(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[20,c03,theory(equality)]),1064,theory(equality)]) ).
cnf(1461,plain,
$false,
inference('REWRITE',[status(thm)],[1066,1460,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP698-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.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 : Tue Jun 14 09:41:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-14T09:41:43
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T09:41:43
% 0.19/0.48
% 0.19/0.48 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.92/1.13 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.92/1.13
% 0.92/1.13 #||
% 0.92/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13 % SZS output start Refutation
% See solution above
% 0.92/1.13 ||#
% 0.92/1.13
% 0.92/1.13 ; Summary of computation:
% 0.92/1.13 ; 3089 formulas have been input or derived (from 87 formulas).
% 0.92/1.13 ; 1461 (47%) were retained. Of these,
% 0.92/1.13 ; 844 (58%) were simplified or subsumed later,
% 0.92/1.13 ; 617 (42%) are still being kept.
% 0.92/1.13 ;
% 0.92/1.13 ; Run time in seconds excluding printing time:
% 0.92/1.13 ; 0.002 0% Read assertion file (1 call)
% 0.92/1.13 ; 0.000 0% Assert (9 calls)
% 0.92/1.13 ; 0.210 31% Process new row (2,881 calls)
% 0.92/1.13 ; 0.004 1% Resolution (172 calls)
% 0.92/1.13 ; 0.066 10% Paramodulation (86 calls)
% 0.92/1.13 ; 0.174 26% Forward simplification (2,617 calls)
% 0.92/1.13 ; 0.109 16% Backward simplification (1,461 calls)
% 0.92/1.13 ; 0.071 11% Ordering (8,686 calls)
% 0.92/1.13 ; 0.000 0% Sortal reasoning (32 calls)
% 0.92/1.13 ; 0.001 0% Purity testing (1 call)
% 0.92/1.13 ; 0.033 5% Other
% 0.92/1.13 ; 0.670 Total
% 0.92/1.13 ; 0.671 Real time
% 0.92/1.14 ;
% 0.92/1.14 ; Term-hash-array has 4,513 terms in all.
% 0.92/1.14 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.92/1.14 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.92/1.14 ; Path-index has 2,267 entries (2,281 at peak, 4,820 added, 2,553 deleted).
% 0.92/1.14 ; Path-index has 18,032 nodes (18,066 at peak, 22,324 added, 4,292 deleted).
% 0.92/1.14 ; Trie-index has 2,267 entries (2,281 at peak, 4,820 added, 2,553 deleted).
% 0.92/1.14 ; Trie-index has 32,086 nodes (32,289 at peak, 67,161 added, 35,075 deleted).
% 0.92/1.14 ; Retrieved 55,125 generalization terms in 40,622 calls.
% 0.92/1.14 ; Retrieved 9,268 instance terms in 1,550 calls.
% 0.92/1.14 ; Retrieved 15,333 unifiable terms in 588 calls.
% 0.92/1.14 ;
% 0.92/1.14 ; The agenda of rows to process has 144 entries:
% 0.92/1.14 ; 1 with value 28 5 with value 41 1 with value 55
% 0.92/1.14 ; 2 with value 30 4 with value 43 8 with value 56
% 0.92/1.14 ; 4 with value 31 4 with value 44 4 with value 57
% 0.92/1.14 ; 1 with value 32 4 with value 45 2 with value 58
% 0.92/1.14 ; 7 with value 33 4 with value 46 1 with value 59
% 0.92/1.14 ; 3 with value 34 6 with value 47 2 with value 60
% 0.92/1.14 ; 3 with value 35 5 with value 48 4 with value 61
% 0.92/1.14 ; 7 with value 36 3 with value 49 4 with value 62
% 0.92/1.14 ; 3 with value 37 7 with value 52 3 with value 63
% 0.92/1.14 ; 10 with value 38 4 with value 53 5 with value 64
% 0.92/1.14 ; 4 with value 39 5 with value 54 6 with value 65
% 0.92/1.14 ; 8 with value 40
% 0.92/1.14 ; The agenda of rows to give has 568 entries:
% 0.92/1.14 ; 13 with value (4 25) 7 with value (4 46) 2 with value (4 67)
% 0.92/1.14 ; 18 with value (4 26) 16 with value (4 47) 5 with value (4 68)
% 0.92/1.14 ; 12 with value (4 27) 3 with value (4 48) 6 with value (4 70)
% 0.92/1.14 ; 7 with value (4 28) 19 with value (4 49) 1 with value (4 71)
% 0.92/1.14 ; 10 with value (4 29) 18 with value (4 50) 1 with value (4 72)
% 0.92/1.14 ; 13 with value (4 30) 24 with value (4 51) 2 with value (4 73)
% 0.92/1.14 ; 13 with value (4 31) 33 with value (4 52) 1 with value (4 74)
% 0.92/1.14 ; 5 with value (4 32) 15 with value (4 53) 3 with value (4 75)
% 0.92/1.14 ; 12 with value (4 33) 29 with value (4 54) 1 with value (4 76)
% 0.92/1.14 ; 10 with value (4 34) 13 with value (4 55) 4 with value (4 77)
% 0.92/1.14 ; 11 with value (4 35) 13 with value (4 56) 1 with value (4 78)
% 0.92/1.14 ; 27 with value (4 36) 18 with value (4 57) 2 with value (4 79)
% 0.92/1.14 ; 11 with value (4 37) 6 with value (4 58) 1 with value (4 89)
% 0.92/1.14 ; 15 with value (4 38) 14 with value (4 59) 2 with value (4 90)
% 0.92/1.14 ; 14 with value (4 39) 10 with value (4 60) 2 with value (4 93)
% 0.92/1.14 ; 14 with value (4 40) 14 with value (4 61) 2 with value (4 94)
% 0.92/1.14 ; 3 with value (4 41) 9 with value (4 62) 1 with value (4 95)
% 0.92/1.14 ; 10 with value (4 42) 7 with value (4 63) 2 with value (4 96)
% 0.92/1.14 ; 12 with value (4 43) 7 with value (4 64) 1 with value (4 101)
% 0.92/1.14 ; 4 with value (4 44) 5 with value (4 65) 1 with value (4 144)
% 0.92/1.14 ; 6 with value (4 45) 7 with value (4 66)
% 0.92/1.14 Evaluation took:
% 0.92/1.14 0.672 seconds of real time
% 0.92/1.14 0.635516 seconds of user run time
% 0.92/1.14 0.036328 seconds of system run time
% 0.92/1.14 [Run times include 0.056 seconds GC run time.]
% 0.92/1.14 0 calls to %EVAL
% 0.92/1.14 0 page faults and
% 0.92/1.14 53,032,648 bytes consed.
% 0.92/1.14 :PROOF-FOUND
% 0.92/1.14 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T09:41:44
% 0.92/1.14 :PROOF-FOUND
% 0.92/1.14 *
%------------------------------------------------------------------------------