TSTP Solution File: BOO029-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 23:49:02 EDT 2022
% Result : Unsatisfiable 0.73s 0.91s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(l1,axiom,
add(X,multiply(Y,multiply(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
cnf(l2,axiom,
multiply(X,add(Y,add(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
cnf(b2,axiom,
add(multiply(X,Y),multiply(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
cnf(12,plain,
add(multiply(X,Y),add(multiply(X,inverse(Y)),Z)) = add(X,Z),
inference('EMBED',[status(thm)],[b2]) ).
cnf(prove_equal_inverse,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equal_inverse) ).
cnf(20,plain,
add(X,multiply(X,Y)) = X,
inference('PARAMODULATE',[status(thm)],[l1,l2,theory(equality)]) ).
cnf(21,plain,
add(X,add(multiply(X,Y),Z)) = add(X,Z),
inference('EMBED',[status(thm)],[20]) ).
cnf(113,plain,
add(multiply(X,Y),inverse(X)) = add(Y,inverse(X)),
inference('PARAMODULATE',[status(thm)],[12,21,theory(equality)]) ).
cnf(114,plain,
add(inverse(X),add(multiply(X,Y),Z)) = add(Y,add(inverse(X),Z)),
inference('EMBED',[status(thm)],[113]) ).
cnf(222,plain,
add(X,add(inverse(Y),Y)) = add(Y,inverse(Y)),
inference('PARAMODULATE',[status(thm)],[21,114,theory(equality)]) ).
cnf(224,plain,
add(X,inverse(X)) = add(Y,inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,114,theory(equality)]),222,113,theory(equality)]) ).
cnf(225,plain,
$false,
inference('REWRITE',[status(thm)],[prove_equal_inverse,224,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 00:15:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T00:15:08
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-02T00:15:08
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.19/0.48 ; Declaring add to be commutative.
% 0.19/0.48 ; Declaring add to be associative-commutative.
% 0.19/0.48 ; Declaring multiply to be commutative.
% 0.73/0.91 ; Declaring multiply to be associative-commutative.
% 0.73/0.91
% 0.73/0.91 #||
% 0.73/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.91 % SZS output start Refutation
% See solution above
% 0.73/0.92 ||#
% 0.73/0.92
% 0.73/0.92 ; Summary of computation:
% 0.73/0.92 ; 2853 formulas have been input or derived (from 24 formulas).
% 0.73/0.92 ; 225 ( 8%) were retained. Of these,
% 0.73/0.92 ; 149 (66%) were simplified or subsumed later,
% 0.73/0.92 ; 76 (34%) are still being kept.
% 0.73/0.92 ;
% 0.73/0.92 ; Run time in seconds excluding printing time:
% 0.73/0.92 ; 0.002 0% Read assertion file (1 call)
% 0.73/0.92 ; 0.001 0% Assert (11 calls)
% 0.73/0.92 ; 0.023 5% Process new row (2,042 calls)
% 0.73/0.92 ; 0.003 1% Resolution (46 calls)
% 0.73/0.92 ; 0.072 16% Paramodulation (23 calls)
% 0.73/0.92 ; 0.004 1% Embedding (114 calls)
% 0.73/0.92 ; 0.148 33% Forward simplification (1,740 calls)
% 0.73/0.92 ; 0.039 9% Backward simplification (117 calls)
% 0.73/0.92 ; 0.002 0% Ordering (608 calls)
% 0.73/0.92 ; 0.118 27% Ordering ac (380 calls)
% 0.73/0.92 ; 0.000 0% Sortal reasoning (32 calls)
% 0.73/0.92 ; 0.000 0% Purity testing (1 call)
% 0.73/0.92 ; 0.032 7% Other
% 0.73/0.92 ; 0.444 Total
% 0.73/0.92 ; 0.447 Real time
% 0.73/0.92 ;
% 0.73/0.92 ; Term-hash-array has 720 terms in all.
% 0.73/0.92 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.73/0.92 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.73/0.92 ; Path-index has 254 entries (396 at peak, 765 added, 511 deleted).
% 0.73/0.92 ; Path-index has 151 nodes (169 at peak, 225 added, 74 deleted).
% 0.73/0.92 ; Trie-index has 254 entries (396 at peak, 765 added, 511 deleted).
% 0.73/0.92 ; Trie-index has 29 nodes (33 at peak, 34 added, 5 deleted).
% 0.73/0.92 ; Retrieved 68,767 generalization terms in 7,942 calls.
% 0.73/0.92 ; Retrieved 2,115 instance terms in 133 calls.
% 0.73/0.92 ; Retrieved 1,652 unifiable terms in 116 calls.
% 0.73/0.92 ;
% 0.73/0.92 ; The agenda of new embeddings to process has 1 entry:
% 0.73/0.92 ; 1 with value 0
% 0.73/0.92 ; The agenda of rows to process has 52 entries:
% 0.73/0.92 ; 3 with value 20 3 with value 25 3 with value 29
% 0.73/0.92 ; 5 with value 21 3 with value 26 5 with value 30
% 0.73/0.92 ; 2 with value 22 5 with value 27 3 with value 31
% 0.73/0.92 ; 6 with value 23 6 with value 28 4 with value 34
% 0.73/0.92 ; 4 with value 24
% 0.73/0.92 ; The agenda of rows to give has 61 entries:
% 0.73/0.92 ; 1 with value (4 15) 6 with value (4 21) 4 with value (4 28)
% 0.73/0.92 ; 12 with value (4 16) 4 with value (4 23) 2 with value (4 38)
% 0.73/0.92 ; 2 with value (4 17) 4 with value (4 24) 2 with value (4 39)
% 0.73/0.92 ; 4 with value (4 18) 6 with value (4 25) 2 with value (4 48)
% 0.73/0.92 ; 4 with value (4 19) 2 with value (4 27) 2 with value (4 49)
% 0.73/0.92 ; 4 with value (4 20)
% 0.73/0.92 Evaluation took:
% 0.73/0.92 0.447 seconds of real time
% 0.73/0.92 0.422714 seconds of user run time
% 0.73/0.92 0.023175 seconds of system run time
% 0.73/0.92 [Run times include 0.009 seconds GC run time.]
% 0.73/0.92 0 calls to %EVAL
% 0.73/0.92 0 page faults and
% 0.73/0.92 27,902,224 bytes consed.
% 0.73/0.92 :PROOF-FOUND
% 0.73/0.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T00:15:09
% 0.73/0.92 :PROOF-FOUND
% 0.73/0.92 *
%------------------------------------------------------------------------------