TSTP Solution File: ALG245-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG245-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 : Thu Jul 14 18:00:22 EDT 2022
% Result : Unsatisfiable 1.96s 2.21s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 2 RR)
% Number of literals : 12 ( 11 equ; 1 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(X,mult(Y,Z)) = mult(mult(X,Y),mult(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c02,axiom,
mult(mult(X,Y),Z) = mult(mult(X,Z),mult(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c03,axiom,
mult(mult(mult(X,Y),mult(Z,U)),mult(mult(mult(X,Y),mult(Z,U)),mult(mult(X,Z),mult(Y,U)))) = mult(mult(X,Z),mult(Y,U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
cnf(c04,axiom,
mult(mult(mult(mult(X,Y),mult(Z,U)),mult(mult(X,Z),mult(Y,U))),mult(mult(X,Z),mult(Y,U))) = mult(mult(X,Y),mult(Z,U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
cnf(c05,axiom,
mult(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(goals,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(7,plain,
mult(X,mult(Y,X)) = mult(mult(X,Y),X),
inference('PARAMODULATE',[status(thm)],[c01,c05,theory(equality)]) ).
cnf(61,plain,
mult(mult(X,mult(mult(Y,Z),mult(U,V))),mult(mult(mult(Y,Z),mult(U,V)),mult(mult(Y,U),mult(Z,V)))) = mult(mult(X,mult(mult(mult(Y,Z),mult(U,V)),mult(mult(Y,U),mult(Z,V)))),mult(mult(Y,U),mult(Z,V))),
inference('PARAMODULATE',[status(thm)],[c02,c03,theory(equality)]) ).
cnf(116,plain,
mult(X,mult(Y,mult(X,Y))) = mult(mult(mult(X,Y),X),mult(X,Y)),
inference('PARAMODULATE',[status(thm)],[c01,7,theory(equality)]) ).
cnf(164,plain,
mult(mult(mult(X,Y),mult(Z,U)),mult(mult(X,Z),mult(Y,U))) = mult(mult(mult(mult(X,Y),mult(Z,U)),mult(mult(X,Z),mult(Y,U))),mult(mult(mult(X,Z),mult(Y,U)),mult(mult(X,Y),mult(Z,U)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,c04,theory(equality)]),61,theory(equality)]) ).
cnf(504,plain,
mult(mult(mult(X,Y),mult(Z,U)),mult(mult(X,Z),mult(Y,U))) = mult(mult(mult(X,Z),mult(Y,U)),mult(mult(X,Y),mult(Z,U))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[116,c04,theory(equality)]),c03,164,theory(equality)]) ).
cnf(505,plain,
$false,
inference('REWRITE',[status(thm)],[goals,504,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG245-1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Wed Jun 8 08:48:06 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 *
% 0.14/0.38 *
% 0.14/0.38 #<PACKAGE "SNARK-USER">
% 0.14/0.38 *
% 0.14/0.38 SNARK-TPTP-OPTIONS
% 0.14/0.38 *
% 0.14/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.38 (USE-FACTORING :POS)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.38 *
% 0.14/0.38 "."
% 0.14/0.38 *
% 0.14/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T08:48:06
% 0.14/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-08T08:48:06
% 1.96/2.21
% 1.96/2.21
% 1.96/2.21 #||
% 1.96/2.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.96/2.21 % SZS output start Refutation
% See solution above
% 2.04/2.21 ||#
% 2.04/2.21
% 2.04/2.21 ; Summary of computation:
% 2.04/2.21 ; 731 formulas have been input or derived (from 13 formulas).
% 2.04/2.21 ; 505 (69%) were retained. Of these,
% 2.04/2.21 ; 5 ( 1%) were simplified or subsumed later,
% 2.04/2.21 ; 500 (99%) are still being kept.
% 2.04/2.21 ;
% 2.04/2.21 ; Run time in seconds excluding printing time:
% 2.04/2.21 ; 0.002 0% Read assertion file (1 call)
% 2.04/2.21 ; 0.000 0% Assert (6 calls)
% 2.04/2.21 ; 0.071 4% Process new row (730 calls)
% 2.04/2.21 ; 0.001 0% Resolution (24 calls)
% 2.04/2.21 ; 0.020 1% Paramodulation (12 calls)
% 2.04/2.21 ; 0.325 18% Forward simplification (730 calls)
% 2.04/2.21 ; 0.211 12% Backward simplification (505 calls)
% 2.04/2.21 ; 1.174 64% Ordering (44,715 calls)
% 2.04/2.21 ; 0.000 0% Sortal reasoning (32 calls)
% 2.04/2.21 ; 0.000 0% Purity testing (1 call)
% 2.04/2.21 ; 0.018 1% Other
% 2.04/2.21 ; 1.822 Total
% 2.04/2.21 ; 1.824 Real time
% 2.04/2.21 ;
% 2.04/2.21 ; Term-hash-array has 1,711 terms in all.
% 2.04/2.21 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.04/2.21 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.04/2.21 ; Path-index has 1,703 entries (1,704 at peak, 1,715 added, 12 deleted).
% 2.04/2.21 ; Path-index has 1,378 nodes (1,378 at peak, 1,378 added, 0 deleted).
% 2.04/2.21 ; Trie-index has 1,703 entries (1,704 at peak, 1,715 added, 12 deleted).
% 2.04/2.21 ; Trie-index has 15,120 nodes (15,139 at peak, 15,427 added, 307 deleted).
% 2.04/2.21 ; Retrieved 143,032 generalization terms in 10,014 calls.
% 2.04/2.21 ; Retrieved 53,704 instance terms in 812 calls.
% 2.04/2.21 ; Retrieved 9,528 unifiable terms in 108 calls.
% 2.04/2.21 ;
% 2.04/2.21 ; The agenda of rows to give has 488 entries:
% 2.04/2.21 ; 9 with value (4 23) 12 with value (4 35) 26 with value (4 49)
% 2.04/2.21 ; 12 with value (4 24) 9 with value (4 36) 39 with value (4 50)
% 2.04/2.21 ; 8 with value (4 25) 14 with value (4 37) 2 with value (4 51)
% 2.04/2.21 ; 12 with value (4 26) 16 with value (4 38) 1 with value (4 54)
% 2.04/2.21 ; 12 with value (4 27) 3 with value (4 39) 32 with value (4 57)
% 2.04/2.21 ; 10 with value (4 28) 6 with value (4 42) 35 with value (4 58)
% 2.04/2.21 ; 16 with value (4 29) 6 with value (4 43) 16 with value (4 61)
% 2.04/2.21 ; 16 with value (4 30) 6 with value (4 44) 2 with value (4 62)
% 2.04/2.21 ; 10 with value (4 31) 2 with value (4 45) 20 with value (4 65)
% 2.04/2.21 ; 9 with value (4 32) 10 with value (4 46) 4 with value (4 79)
% 2.04/2.21 ; 38 with value (4 33) 28 with value (4 47) 4 with value (4 87)
% 2.04/2.21 ; 18 with value (4 34) 9 with value (4 48) 16 with value (4 88)
% 2.04/2.21 Evaluation took:
% 2.04/2.21 1.825 seconds of real time
% 2.04/2.21 1.754986 seconds of user run time
% 2.04/2.21 0.069224 seconds of system run time
% 2.04/2.21 [Run times include 0.047 seconds GC run time.]
% 2.04/2.21 0 calls to %EVAL
% 2.04/2.21 0 page faults and
% 2.04/2.21 123,663,160 bytes consed.
% 2.04/2.21 :PROOF-FOUND
% 2.04/2.21 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T08:48:08
% 2.04/2.21 :PROOF-FOUND
% 2.04/2.21 *
%------------------------------------------------------------------------------