%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 11:35:13 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 12 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
cnf(c_times_b_is_e,hypothesis,
multiply(c,b) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_b_is_e) ).
cnf(prove_b_times_c_is_e,negated_conjecture,
multiply(b,c) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_c_is_e) ).
cnf(7,plain,
multiply(multiply(X,c),b) = multiply(X,identity),
inference('PARAMODULATE',[status(thm)],[associativity,c_times_b_is_e,theory(equality)]) ).
cnf(9,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(19,plain,
X = multiply(inverse(inverse(X)),identity),
inference('PARAMODULATE',[status(thm)],[9,left_inverse,theory(equality)]) ).
cnf(22,plain,
multiply(X,Y) = multiply(inverse(inverse(X)),Y),
inference('PARAMODULATE',[status(thm)],[9,9,theory(equality)]) ).
cnf(23,plain,
X = multiply(X,identity),
inference('REWRITE',[status(thm)],[19,22,theory(equality)]) ).
cnf(24,plain,
multiply(multiply(X,c),b) = X,
inference('REWRITE',[status(thm)],[7,23,theory(equality)]) ).
cnf(29,plain,
b = inverse(c),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(31,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[left_inverse,29,theory(equality)]),prove_b_times_c_is_e]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 06:31:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T06:31:38
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-13T06:31:38
% 0.20/0.48
% 0.20/0.48 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.20/0.48 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.20/0.51 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 70 formulas have been input or derived (from 12 formulas).
% 0.20/0.51 ; 31 (44%) were retained. Of these,
% 0.20/0.51 ; 8 (26%) were simplified or subsumed later,
% 0.20/0.51 ; 23 (74%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (5 calls)
% 0.20/0.51 ; 0.003 9% Process new row (69 calls)
% 0.20/0.51 ; 0.000 0% Resolution (22 calls)
% 0.20/0.51 ; 0.001 3% Paramodulation (11 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (69 calls)
% 0.20/0.51 ; 0.001 3% Backward simplification (31 calls)
% 0.20/0.51 ; 0.004 12% Ordering (202 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.023 68% Other
% 0.20/0.51 ; 0.034 Total
% 0.20/0.51 ; 0.036 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 77 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.51 ; Path-index has 66 entries (66 at peak, 83 added, 17 deleted).
% 0.20/0.51 ; Path-index has 135 nodes (135 at peak, 146 added, 11 deleted).
% 0.20/0.51 ; Trie-index has 66 entries (66 at peak, 83 added, 17 deleted).
% 0.20/0.51 ; Trie-index has 213 nodes (213 at peak, 262 added, 49 deleted).
% 0.20/0.51 ; Retrieved 115 generalization terms in 216 calls.
% 0.20/0.51 ; Retrieved 46 instance terms in 42 calls.
% 0.20/0.51 ; Retrieved 98 unifiable terms in 65 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 1 entry:
% 0.20/0.51 ; 1 with value 13
% 0.20/0.51 ; The agenda of rows to give has 11 entries:
% 0.20/0.51 ; 1 with value (4 13) 1 with value (4 15) 2 with value (4 18)
% 0.20/0.51 ; 1 with value (4 14) 1 with value (4 16) 5 with value (4 20)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.036 seconds of real time
% 0.20/0.51 0.030747 seconds of user run time
% 0.20/0.51 0.004977 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,235,368 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T06:31:38
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------