TSTP Solution File: GRP421-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 11:38:31 EDT 2022
% Result : Unsatisfiable 1.30s 1.47s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% 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 : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),multiply(X,Z))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(3,plain,
inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))) = multiply(inverse(Z),inverse(multiply(inverse(Y),multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))) = inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z))),
inference('PARAMODULATE',[status(thm)],[3,3,theory(equality)]) ).
cnf(7,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(25,plain,
inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,inverse(multiply(inverse(U),U))))))),multiply(X,U))) = multiply(inverse(U),Z),
inference('PARAMODULATE',[status(thm)],[single_axiom,6,theory(equality)]) ).
cnf(28,plain,
multiply(inverse(multiply(X,Y)),multiply(X,Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,6,theory(equality)]),single_axiom,theory(equality)]) ).
cnf(48,plain,
multiply(X,multiply(inverse(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,Z)))),U)) = multiply(inverse(multiply(V,multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))),multiply(V,U)),
inference('PARAMODULATE',[status(thm)],[28,7,theory(equality)]) ).
cnf(853,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)))),multiply(inverse(Z),inverse(multiply(inverse(Z),Z)))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,48,theory(equality)]),25,theory(equality)]) ).
cnf(882,plain,
multiply(inverse(X),X) = multiply(inverse(multiply(Y,multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))),multiply(Y,multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[48,853,theory(equality)]) ).
cnf(953,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[882,882,theory(equality)]) ).
cnf(954,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_1,953,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 09:36:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T09:36:54
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T09:36:54
% 1.30/1.47
% 1.30/1.47
% 1.30/1.47 #||
% 1.30/1.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.30/1.47 % SZS output start Refutation
% See solution above
% 1.30/1.47 ||#
% 1.30/1.47
% 1.30/1.47 ; Summary of computation:
% 1.30/1.47 ; 4129 formulas have been input or derived (from 25 formulas).
% 1.30/1.47 ; 954 (23%) were retained. Of these,
% 1.30/1.47 ; 57 ( 6%) were simplified or subsumed later,
% 1.30/1.47 ; 897 (94%) are still being kept.
% 1.30/1.47 ;
% 1.30/1.47 ; Run time in seconds excluding printing time:
% 1.30/1.47 ; 0.001 0% Read assertion file (1 call)
% 1.30/1.47 ; 0.000 0% Assert (2 calls)
% 1.30/1.47 ; 0.236 24% Process new row (3,744 calls)
% 1.30/1.47 ; 0.004 0% Resolution (48 calls)
% 1.30/1.47 ; 0.106 11% Paramodulation (24 calls)
% 1.30/1.47 ; 0.365 37% Forward simplification (2,926 calls)
% 1.30/1.47 ; 0.037 4% Backward simplification (954 calls)
% 1.30/1.47 ; 0.212 21% Ordering (11,716 calls)
% 1.30/1.47 ; 0.000 0% Sortal reasoning (32 calls)
% 1.30/1.47 ; 0.000 0% Purity testing (1 call)
% 1.30/1.47 ; 0.028 3% Other
% 1.30/1.47 ; 0.989 Total
% 1.30/1.47 ; 0.990 Real time
% 1.30/1.47 ;
% 1.30/1.47 ; Term-hash-array has 6,902 terms in all.
% 1.30/1.47 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.30/1.47 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.30/1.47 ; Path-index has 6,647 entries (6,655 at peak, 6,929 added, 282 deleted).
% 1.30/1.47 ; Path-index has 18,350 nodes (18,362 at peak, 18,362 added, 12 deleted).
% 1.30/1.47 ; Trie-index has 6,647 entries (6,655 at peak, 6,929 added, 282 deleted).
% 1.30/1.47 ; Trie-index has 68,865 nodes (68,899 at peak, 70,394 added, 1,529 deleted).
% 1.30/1.47 ; Retrieved 12,114 generalization terms in 35,993 calls.
% 1.30/1.47 ; Retrieved 3,293 instance terms in 996 calls.
% 1.30/1.47 ; Retrieved 31,177 unifiable terms in 363 calls.
% 1.30/1.47 ;
% 1.30/1.47 ; The agenda of rows to process has 330 entries:
% 1.30/1.47 ; 1 with value 19 15 with value 59 1 with value 80
% 1.30/1.47 ; 2 with value 40 10 with value 60 7 with value 81
% 1.30/1.47 ; 2 with value 41 12 with value 61 1 with value 82
% 1.30/1.47 ; 8 with value 42 21 with value 62 2 with value 83
% 1.30/1.47 ; 2 with value 43 16 with value 63 9 with value 87
% 1.30/1.47 ; 4 with value 45 15 with value 64 1 with value 88
% 1.30/1.47 ; 4 with value 46 18 with value 65 2 with value 89
% 1.30/1.47 ; 2 with value 47 17 with value 66 3 with value 95
% 1.30/1.47 ; 8 with value 48 14 with value 67 2 with value 96
% 1.30/1.47 ; 3 with value 49 15 with value 68 2 with value 97
% 1.30/1.47 ; 6 with value 50 6 with value 69 1 with value 99
% 1.30/1.47 ; 6 with value 51 5 with value 70 1 with value 111
% 1.30/1.47 ; 9 with value 53 3 with value 71 4 with value 112
% 1.30/1.47 ; 7 with value 54 2 with value 73 1 with value 114
% 1.30/1.47 ; 7 with value 55 5 with value 74 2 with value 125
% 1.30/1.47 ; 16 with value 56 3 with value 75 1 with value 134
% 1.30/1.47 ; 9 with value 57 1 with value 78 1 with value 165
% 1.30/1.47 ; 13 with value 58 2 with value 79
% 1.30/1.47 ; The agenda of rows to give has 878 entries:
% 1.30/1.47 ; 1 with value (4 19) 6 with value (4 71) 1 with value (4 105)
% 1.30/1.47 ; 3 with value (4 42) 16 with value (4 72) 3 with value (4 106)
% 1.30/1.47 ; 7 with value (4 44) 19 with value (4 73) 1 with value (4 107)
% 1.30/1.47 ; 6 with value (4 45) 16 with value (4 74) 2 with value (4 108)
% 1.30/1.47 ; 6 with value (4 46) 17 with value (4 75) 2 with value (4 109)
% 1.30/1.47 ; 3 with value (4 47) 20 with value (4 76) 1 with value (4 110)
% 1.30/1.47 ; 9 with value (4 48) 14 with value (4 77) 1 with value (4 112)
% 1.30/1.47 ; 11 with value (4 49) 9 with value (4 78) 2 with value (4 114)
% 1.30/1.47 ; 12 with value (4 50) 6 with value (4 79) 1 with value (4 115)
% 1.30/1.47 ; 10 with value (4 51) 6 with value (4 80) 1 with value (4 116)
% 1.30/1.47 ; 18 with value (4 52) 6 with value (4 81) 1 with value (4 117)
% 1.30/1.47 ; 22 with value (4 53) 6 with value (4 82) 1 with value (4 118)
% 1.30/1.47 ; 20 with value (4 54) 4 with value (4 83) 1 with value (4 119)
% 1.30/1.47 ; 18 with value (4 55) 2 with value (4 84) 1 with value (4 120)
% 1.30/1.47 ; 30 with value (4 56) 5 with value (4 85) 3 with value (4 124)
% 1.30/1.47 ; 33 with value (4 57) 4 with value (4 86) 2 with value (4 126)
% 1.30/1.47 ; 32 with value (4 58) 8 with value (4 87) 3 with value (4 127)
% 1.30/1.47 ; 45 with value (4 59) 3 with value (4 88) 1 with value (4 128)
% 1.30/1.47 ; 36 with value (4 60) 6 with value (4 89) 1 with value (4 144)
% 1.30/1.47 ; 46 with value (4 61) 3 with value (4 90) 1 with value (4 147)
% 1.30/1.47 ; 41 with value (4 62) 2 with value (4 91) 1 with value (4 148)
% 1.30/1.47 ; 45 with value (4 63) 2 with value (4 92) 1 with value (4 151)
% 1.30/1.47 ; 43 with value (4 64) 4 with value (4 93) 1 with value (4 152)
% 1.30/1.47 ; 29 with value (4 65) 6 with value (4 94) 2 with value (4 153)
% 1.30/1.47 ; 26 with value (4 66) 3 with value (4 95) 1 with value (4 154)
% 1.30/1.47 ; 25 with value (4 67) 3 with value (4 96) 1 with value (4 157)
% 1.30/1.47 ; 20 with value (4 68) 3 with value (4 98) 1 with value (4 187)
% 1.30/1.47 ; 20 with value (4 69) 1 with value (4 99) 1 with value (4 227)
% 1.30/1.47 ; 21 with value (4 70) 1 with value (4 104)
% 1.30/1.47 Evaluation took:
% 1.30/1.47 0.992 seconds of real time
% 1.30/1.47 0.943769 seconds of user run time
% 1.30/1.47 0.04798 seconds of system run time
% 1.30/1.47 [Run times include 0.053 seconds GC run time.]
% 1.30/1.47 0 calls to %EVAL
% 1.30/1.47 0 page faults and
% 1.30/1.47 62,072,176 bytes consed.
% 1.30/1.47 :PROOF-FOUND
% 1.30/1.47 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T09:36:55
% 1.30/1.47 :PROOF-FOUND
% 1.30/1.47 *
%------------------------------------------------------------------------------