TSTP Solution File: GRP409-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 11:38:09 EDT 2022
% Result : Unsatisfiable 0.47s 0.69s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 2 RR)
% Number of literals : 11 ( 10 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 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 : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(Z),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(5,plain,
multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))) = multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(42,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),Z)))),multiply(X,inverse(Z))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(43,plain,
multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))) = multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(96,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,inverse(U))))) = multiply(inverse(multiply(V,inverse(Y))),multiply(V,inverse(multiply(Z,inverse(U))))),
inference('PARAMODULATE',[status(thm)],[43,42,theory(equality)]) ).
cnf(108,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[96,single_axiom,theory(equality)]) ).
cnf(109,plain,
multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(U))) = multiply(inverse(multiply(V,inverse(multiply(inverse(Z),Z)))),multiply(V,inverse(U))),
inference('PARAMODULATE',[status(thm)],[108,single_axiom,theory(equality)]) ).
cnf(165,plain,
multiply(inverse(X),X) = multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))),multiply(Y,inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[109,single_axiom,theory(equality)]) ).
cnf(215,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[165,165,theory(equality)]) ).
cnf(216,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_1,215,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 : Mon Jun 13 13:48:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 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 2022-06-13T13:48:39
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-13T13:48:39
% 0.47/0.69
% 0.47/0.69
% 0.47/0.69 #||
% 0.47/0.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.69 % SZS output start Refutation
% See solution above
% 0.47/0.70 ||#
% 0.47/0.70
% 0.47/0.70 ; Summary of computation:
% 0.47/0.70 ; 548 formulas have been input or derived (from 14 formulas).
% 0.47/0.70 ; 216 (39%) were retained. Of these,
% 0.47/0.70 ; 22 (10%) were simplified or subsumed later,
% 0.47/0.70 ; 194 (90%) are still being kept.
% 0.47/0.70 ;
% 0.47/0.70 ; Run time in seconds excluding printing time:
% 0.47/0.70 ; 0.001 0% Read assertion file (1 call)
% 0.47/0.70 ; 0.000 0% Assert (2 calls)
% 0.47/0.70 ; 0.083 39% Process new row (461 calls)
% 0.47/0.70 ; 0.000 0% Resolution (26 calls)
% 0.47/0.70 ; 0.023 11% Paramodulation (13 calls)
% 0.47/0.70 ; 0.060 28% Forward simplification (391 calls)
% 0.47/0.70 ; 0.013 6% Backward simplification (216 calls)
% 0.47/0.70 ; 0.008 4% Ordering (1,066 calls)
% 0.47/0.70 ; 0.001 0% Sortal reasoning (32 calls)
% 0.47/0.70 ; 0.000 0% Purity testing (1 call)
% 0.47/0.70 ; 0.022 10% Other
% 0.47/0.70 ; 0.211 Total
% 0.47/0.70 ; 0.213 Real time
% 0.47/0.70 ;
% 0.47/0.70 ; Term-hash-array has 2,030 terms in all.
% 0.47/0.70 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.47/0.70 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.47/0.70 ; Path-index has 1,943 entries (1,952 at peak, 2,035 added, 92 deleted).
% 0.47/0.70 ; Path-index has 18,065 nodes (18,077 at peak, 18,087 added, 22 deleted).
% 0.47/0.70 ; Trie-index has 1,943 entries (1,952 at peak, 2,035 added, 92 deleted).
% 0.47/0.70 ; Trie-index has 30,186 nodes (30,218 at peak, 31,326 added, 1,140 deleted).
% 0.47/0.70 ; Retrieved 375 generalization terms in 7,181 calls.
% 0.47/0.70 ; Retrieved 394 instance terms in 216 calls.
% 0.47/0.70 ; Retrieved 3,383 unifiable terms in 200 calls.
% 0.47/0.70 ;
% 0.47/0.70 ; The agenda of rows to process has 86 entries:
% 0.47/0.70 ; 2 with value 19 1 with value 59 1 with value 73
% 0.47/0.70 ; 1 with value 22 5 with value 60 2 with value 74
% 0.47/0.70 ; 7 with value 35 3 with value 61 1 with value 76
% 0.47/0.70 ; 3 with value 41 3 with value 62 1 with value 78
% 0.47/0.70 ; 1 with value 46 6 with value 63 1 with value 80
% 0.47/0.70 ; 1 with value 47 2 with value 64 1 with value 83
% 0.47/0.70 ; 1 with value 48 1 with value 65 1 with value 88
% 0.47/0.70 ; 3 with value 49 1 with value 67 2 with value 92
% 0.47/0.70 ; 5 with value 50 1 with value 68 1 with value 93
% 0.47/0.70 ; 5 with value 51 2 with value 69 1 with value 96
% 0.47/0.70 ; 1 with value 52 5 with value 70 1 with value 109
% 0.47/0.70 ; 4 with value 53 4 with value 71 1 with value 110
% 0.47/0.70 ; 2 with value 55 2 with value 72
% 0.47/0.70 ; The agenda of rows to give has 184 entries:
% 0.47/0.70 ; 1 with value (4 19) 3 with value (4 75) 2 with value (4 107)
% 0.47/0.70 ; 1 with value (4 45) 7 with value (4 76) 1 with value (4 108)
% 0.47/0.70 ; 2 with value (4 46) 3 with value (4 77) 1 with value (4 109)
% 0.47/0.70 ; 1 with value (4 47) 3 with value (4 78) 1 with value (4 110)
% 0.47/0.70 ; 1 with value (4 48) 4 with value (4 80) 1 with value (4 111)
% 0.47/0.70 ; 2 with value (4 49) 3 with value (4 81) 1 with value (4 117)
% 0.47/0.70 ; 2 with value (4 51) 5 with value (4 82) 1 with value (4 119)
% 0.47/0.70 ; 1 with value (4 52) 5 with value (4 83) 1 with value (4 121)
% 0.47/0.70 ; 1 with value (4 54) 2 with value (4 84) 1 with value (4 124)
% 0.47/0.70 ; 2 with value (4 55) 5 with value (4 85) 1 with value (4 128)
% 0.47/0.70 ; 2 with value (4 56) 3 with value (4 86) 1 with value (4 136)
% 0.47/0.70 ; 2 with value (4 57) 2 with value (4 87) 2 with value (4 137)
% 0.47/0.70 ; 4 with value (4 58) 3 with value (4 88) 1 with value (4 138)
% 0.47/0.70 ; 3 with value (4 59) 3 with value (4 89) 1 with value (4 141)
% 0.47/0.70 ; 2 with value (4 60) 4 with value (4 90) 1 with value (4 143)
% 0.47/0.70 ; 1 with value (4 61) 2 with value (4 91) 1 with value (4 147)
% 0.47/0.70 ; 1 with value (4 62) 2 with value (4 92) 1 with value (4 151)
% 0.47/0.70 ; 2 with value (4 63) 1 with value (4 94) 1 with value (4 152)
% 0.47/0.70 ; 4 with value (4 64) 2 with value (4 95) 1 with value (4 153)
% 0.47/0.70 ; 3 with value (4 65) 3 with value (4 96) 2 with value (4 154)
% 0.47/0.70 ; 5 with value (4 66) 1 with value (4 97) 1 with value (4 158)
% 0.47/0.70 ; 5 with value (4 67) 2 with value (4 98) 1 with value (4 160)
% 0.47/0.70 ; 6 with value (4 68) 6 with value (4 100) 1 with value (4 163)
% 0.47/0.70 ; 4 with value (4 69) 3 with value (4 102) 1 with value (4 165)
% 0.47/0.70 ; 2 with value (4 70) 4 with value (4 103) 1 with value (4 166)
% 0.47/0.70 ; 1 with value (4 71) 2 with value (4 104) 1 with value (4 167)
% 0.47/0.70 ; 2 with value (4 72) 1 with value (4 105) 1 with value (4 169)
% 0.47/0.70 ; 3 with value (4 73) 2 with value (4 106) 1 with value (4 170)
% 0.47/0.70 ; 1 with value (4 74)
% 0.47/0.70 Evaluation took:
% 0.47/0.70 0.214 seconds of real time
% 0.47/0.70 0.197935 seconds of user run time
% 0.47/0.70 0.016147 seconds of system run time
% 0.47/0.70 [Run times include 0.02 seconds GC run time.]
% 0.47/0.70 0 calls to %EVAL
% 0.47/0.70 0 page faults and
% 0.47/0.70 15,734,232 bytes consed.
% 0.47/0.70 :PROOF-FOUND
% 0.47/0.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T13:48:39
% 0.47/0.70 :PROOF-FOUND
% 0.47/0.70 *
%------------------------------------------------------------------------------