TSTP Solution File: GRP403-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 11:38:07 EDT 2022
% Result : Unsatisfiable 0.84s 1.02s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 2 RR)
% Number of literals : 14 ( 13 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(Y,multiply(inverse(Y),Y)))))) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(3,plain,
multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,multiply(inverse(Z),Z)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Z)),U)),Y)),inverse(multiply(U,multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),inverse(multiply(Y,multiply(inverse(Y),Y))))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(6,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),multiply(inverse(multiply(X,Y)),U))),inverse(multiply(Z,multiply(inverse(Z),Z))))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(35,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(Y,multiply(inverse(Y),Y))))) = Z,
inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).
cnf(36,plain,
multiply(inverse(multiply(X,Y)),multiply(X,Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
inference('PARAMODULATE',[status(thm)],[5,35,theory(equality)]) ).
cnf(37,plain,
multiply(inverse(multiply(X,Y)),inverse(multiply(Z,inverse(multiply(multiply(X,Z),multiply(inverse(multiply(X,Z)),multiply(X,Z))))))) = inverse(multiply(Y,multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[single_axiom,35,theory(equality)]) ).
cnf(62,plain,
multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,X))),U)) = multiply(inverse(multiply(V,inverse(multiply(Z,multiply(inverse(Z),Z))))),multiply(V,U)),
inference('PARAMODULATE',[status(thm)],[36,35,theory(equality)]) ).
cnf(330,plain,
multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,X))),U)) = multiply(V,multiply(inverse(multiply(inverse(multiply(W,Z)),multiply(W,V))),U)),
inference('PARAMODULATE',[status(thm)],[62,62,theory(equality)]) ).
cnf(499,plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),inverse(multiply(Y,multiply(inverse(Y),Y)))) = Z,
inference('PARAMODULATE',[status(thm)],[5,37,theory(equality)]) ).
cnf(501,plain,
multiply(inverse(X),X) = multiply(Y,multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,Y))),inverse(multiply(U,multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[330,499,theory(equality)]) ).
cnf(546,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[501,501,theory(equality)]) ).
cnf(547,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_1,546,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 11:19:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T11:19:33
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-14T11:19:33
% 0.84/1.02
% 0.84/1.02
% 0.84/1.02 #||
% 0.84/1.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.02 % SZS output start Refutation
% See solution above
% 0.84/1.02 ||#
% 0.84/1.02
% 0.84/1.02 ; Summary of computation:
% 0.84/1.02 ; 1502 formulas have been input or derived (from 17 formulas).
% 0.84/1.02 ; 547 (36%) were retained. Of these,
% 0.84/1.02 ; 24 ( 4%) were simplified or subsumed later,
% 0.84/1.02 ; 523 (96%) are still being kept.
% 0.84/1.02 ;
% 0.84/1.02 ; Run time in seconds excluding printing time:
% 0.84/1.02 ; 0.001 0% Read assertion file (1 call)
% 0.84/1.02 ; 0.000 0% Assert (2 calls)
% 0.84/1.02 ; 0.182 36% Process new row (1,294 calls)
% 0.84/1.02 ; 0.001 0% Resolution (32 calls)
% 0.84/1.02 ; 0.066 13% Paramodulation (16 calls)
% 0.84/1.02 ; 0.180 35% Forward simplification (1,120 calls)
% 0.84/1.02 ; 0.036 7% Backward simplification (547 calls)
% 0.84/1.02 ; 0.018 4% Ordering (3,260 calls)
% 0.84/1.02 ; 0.001 0% Sortal reasoning (32 calls)
% 0.84/1.02 ; 0.000 0% Purity testing (1 call)
% 0.84/1.02 ; 0.024 5% Other
% 0.84/1.02 ; 0.509 Total
% 0.84/1.02 ; 0.511 Real time
% 0.84/1.02 ;
% 0.84/1.02 ; Term-hash-array has 4,718 terms in all.
% 0.84/1.02 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.84/1.02 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.84/1.02 ; Path-index has 4,584 entries (4,593 at peak, 4,731 added, 147 deleted).
% 0.84/1.02 ; Path-index has 9,059 nodes (9,071 at peak, 9,129 added, 70 deleted).
% 0.84/1.02 ; Trie-index has 4,584 entries (4,593 at peak, 4,731 added, 147 deleted).
% 0.84/1.02 ; Trie-index has 34,664 nodes (34,696 at peak, 36,328 added, 1,664 deleted).
% 0.84/1.02 ; Retrieved 2,396 generalization terms in 17,401 calls.
% 0.84/1.02 ; Retrieved 1,471 instance terms in 595 calls.
% 0.84/1.02 ; Retrieved 16,790 unifiable terms in 248 calls.
% 0.84/1.02 ;
% 0.84/1.02 ; The agenda of rows to process has 202 entries:
% 0.84/1.02 ; 1 with value 20 10 with value 60 2 with value 81
% 0.84/1.02 ; 6 with value 39 12 with value 61 4 with value 83
% 0.84/1.02 ; 1 with value 41 12 with value 62 2 with value 84
% 0.84/1.02 ; 4 with value 43 14 with value 63 1 with value 86
% 0.84/1.02 ; 4 with value 47 11 with value 64 2 with value 87
% 0.84/1.02 ; 3 with value 48 3 with value 65 2 with value 88
% 0.84/1.02 ; 1 with value 49 4 with value 66 1 with value 89
% 0.84/1.02 ; 5 with value 50 2 with value 67 1 with value 90
% 0.84/1.02 ; 7 with value 51 4 with value 68 2 with value 91
% 0.84/1.02 ; 3 with value 52 2 with value 69 1 with value 92
% 0.84/1.02 ; 7 with value 53 4 with value 71 1 with value 93
% 0.84/1.02 ; 7 with value 54 2 with value 72 2 with value 98
% 0.84/1.02 ; 9 with value 55 3 with value 73 1 with value 103
% 0.84/1.02 ; 7 with value 56 1 with value 74 1 with value 108
% 0.84/1.02 ; 5 with value 57 1 with value 75 1 with value 109
% 0.84/1.02 ; 8 with value 58 2 with value 76 1 with value 116
% 0.84/1.02 ; 10 with value 59 2 with value 80
% 0.84/1.02 ; The agenda of rows to give has 509 entries:
% 0.84/1.02 ; 1 with value (4 20) 35 with value (4 62) 3 with value (4 83)
% 0.84/1.02 ; 1 with value (4 41) 28 with value (4 63) 4 with value (4 84)
% 0.84/1.02 ; 1 with value (4 42) 27 with value (4 64) 2 with value (4 85)
% 0.84/1.02 ; 6 with value (4 43) 28 with value (4 65) 1 with value (4 86)
% 0.84/1.02 ; 3 with value (4 44) 13 with value (4 66) 2 with value (4 88)
% 0.84/1.02 ; 4 with value (4 45) 9 with value (4 67) 2 with value (4 90)
% 0.84/1.02 ; 2 with value (4 46) 9 with value (4 68) 1 with value (4 91)
% 0.84/1.02 ; 3 with value (4 47) 9 with value (4 69) 2 with value (4 92)
% 0.84/1.02 ; 3 with value (4 48) 8 with value (4 70) 2 with value (4 94)
% 0.84/1.02 ; 11 with value (4 49) 11 with value (4 71) 2 with value (4 95)
% 0.84/1.02 ; 7 with value (4 50) 13 with value (4 72) 2 with value (4 97)
% 0.84/1.02 ; 9 with value (4 51) 10 with value (4 73) 4 with value (4 99)
% 0.84/1.02 ; 6 with value (4 52) 6 with value (4 74) 1 with value (4 100)
% 0.84/1.02 ; 12 with value (4 53) 2 with value (4 75) 3 with value (4 101)
% 0.84/1.02 ; 13 with value (4 54) 2 with value (4 76) 1 with value (4 109)
% 0.84/1.02 ; 21 with value (4 55) 6 with value (4 77) 1 with value (4 110)
% 0.84/1.02 ; 23 with value (4 56) 4 with value (4 78) 3 with value (4 111)
% 0.84/1.02 ; 21 with value (4 57) 2 with value (4 79) 1 with value (4 113)
% 0.84/1.02 ; 20 with value (4 58) 6 with value (4 80) 1 with value (4 118)
% 0.84/1.02 ; 14 with value (4 59) 8 with value (4 81) 1 with value (4 123)
% 0.84/1.02 ; 25 with value (4 60) 4 with value (4 82) 1 with value (4 125)
% 0.84/1.02 ; 23 with value (4 61)
% 0.84/1.02 Evaluation took:
% 0.84/1.02 0.512 seconds of real time
% 0.84/1.02 0.486797 seconds of user run time
% 0.84/1.02 0.025014 seconds of system run time
% 0.84/1.02 [Run times include 0.042 seconds GC run time.]
% 0.84/1.02 0 calls to %EVAL
% 0.84/1.02 0 page faults and
% 0.84/1.02 30,703,936 bytes consed.
% 0.84/1.02 :PROOF-FOUND
% 0.84/1.02 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T11:19:34
% 0.84/1.02 :PROOF-FOUND
% 0.84/1.02 *
%------------------------------------------------------------------------------