%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP542-1 : 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 11:39:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 11 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(identity,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = divide(identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(identity,axiom,
identity = divide(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(6,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(7,plain,
inverse(inverse(a2)) != a2,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,inverse,identity,6,theory(equality)]) ).
cnf(8,plain,
divide(inverse(divide(divide(divide(X,Y),Z),X)),Z) = Y,
inference('REWRITE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(9,plain,
identity = inverse(identity),
inference('PARAMODULATE',[status(thm)],[identity,inverse,theory(equality)]) ).
cnf(10,plain,
divide(inverse(inverse(X)),divide(X,Y)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(14,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,9,theory(equality)]),inverse,9,theory(equality)]) ).
cnf(16,plain,
$false,
inference('REWRITE',[status(thm)],[7,14,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % 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 : Tue Jun 14 08:11:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-14T08:11:54
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-14T08:11:54
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 #||
% 0.20/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 27 formulas have been input or derived (from 8 formulas).
% 0.20/0.50 ; 16 (59%) were retained. Of these,
% 0.20/0.50 ; 5 (31%) were simplified or subsumed later,
% 0.20/0.50 ; 11 (69%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.001 4% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (5 calls)
% 0.20/0.50 ; 0.001 4% Process new row (22 calls)
% 0.20/0.50 ; 0.000 0% Resolution (14 calls)
% 0.20/0.50 ; 0.001 4% Paramodulation (7 calls)
% 0.20/0.50 ; 0.001 4% Forward simplification (22 calls)
% 0.20/0.50 ; 0.002 7% Backward simplification (16 calls)
% 0.20/0.50 ; 0.000 0% Ordering (56 calls)
% 0.20/0.50 ; 0.001 4% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.020 74% Other
% 0.20/0.50 ; 0.027 Total
% 0.20/0.50 ; 0.029 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 52 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.50 ; Path-index has 40 entries (43 at peak, 62 added, 22 deleted).
% 0.20/0.50 ; Path-index has 219 nodes (225 at peak, 270 added, 51 deleted).
% 0.20/0.50 ; Trie-index has 40 entries (43 at peak, 62 added, 22 deleted).
% 0.20/0.50 ; Trie-index has 159 nodes (166 at peak, 245 added, 86 deleted).
% 0.20/0.50 ; Retrieved 28 generalization terms in 58 calls.
% 0.20/0.50 ; Retrieved 20 instance terms in 15 calls.
% 0.20/0.50 ; Retrieved 37 unifiable terms in 39 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 5 entries:
% 0.20/0.50 ; 1 with value 13 1 with value 19 1 with value 24
% 0.20/0.50 ; 1 with value 14 1 with value 22
% 0.20/0.50 ; The agenda of rows to give has 5 entries:
% 0.20/0.50 ; 1 with value (4 10) 1 with value (4 15) 1 with value (4 26)
% 0.20/0.50 ; 1 with value (4 11) 1 with value (4 18)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.029 seconds of real time
% 0.20/0.50 0.026432 seconds of user run time
% 0.20/0.50 0.00287 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 2,055,352 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T08:11:54
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------