%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP534-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 11:39:19 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 10 equ; 2 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,divide(divide(X,Y),Z)),Y) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = divide(divide(Y,Y),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,
inverse(X) = divide(identity,X),
inference('REWRITE',[status(thm)],[inverse,identity,theory(equality)]) ).
cnf(7,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(8,plain,
inverse(inverse(a2)) != a2,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,6,identity,7,theory(equality)]) ).
cnf(11,plain,
divide(divide(X,inverse(Y)),X) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,identity,theory(equality)]),6,theory(equality)]) ).
cnf(20,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,identity,theory(equality)]),6,theory(equality)]) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[8,20,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP534-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n003.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 01:45:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T01:45:55
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-14T01:45:55
% 0.21/0.53
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 49 formulas have been input or derived (from 10 formulas).
% 0.21/0.53 ; 21 (43%) were retained. Of these,
% 0.21/0.53 ; 8 (38%) were simplified or subsumed later,
% 0.21/0.53 ; 13 (62%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.001 3% Read assertion file (1 call)
% 0.21/0.53 ; 0.000 0% Assert (5 calls)
% 0.21/0.53 ; 0.002 7% Process new row (42 calls)
% 0.21/0.53 ; 0.002 7% Resolution (18 calls)
% 0.21/0.53 ; 0.000 0% Paramodulation (9 calls)
% 0.21/0.53 ; 0.000 0% Forward simplification (41 calls)
% 0.21/0.53 ; 0.002 7% Backward simplification (21 calls)
% 0.21/0.53 ; 0.000 0% Ordering (96 calls)
% 0.21/0.53 ; 0.001 3% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.021 72% Other
% 0.21/0.53 ; 0.029 Total
% 0.21/0.53 ; 0.031 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 60 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.53 ; Path-index has 39 entries (48 at peak, 69 added, 30 deleted).
% 0.21/0.53 ; Path-index has 155 nodes (161 at peak, 189 added, 34 deleted).
% 0.21/0.53 ; Trie-index has 39 entries (48 at peak, 69 added, 30 deleted).
% 0.21/0.53 ; Trie-index has 140 nodes (162 at peak, 211 added, 71 deleted).
% 0.21/0.53 ; Retrieved 63 generalization terms in 107 calls.
% 0.21/0.53 ; Retrieved 41 instance terms in 21 calls.
% 0.21/0.53 ; Retrieved 80 unifiable terms in 48 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to process has 7 entries:
% 0.21/0.53 ; 2 with value 12 1 with value 15 1 with value 20
% 0.21/0.53 ; 2 with value 13 1 with value 19
% 0.21/0.53 ; The agenda of rows to give has 5 entries:
% 0.21/0.53 ; 1 with value (4 10) 1 with value (4 15) 1 with value (4 22)
% 0.21/0.53 ; 1 with value (4 13) 1 with value (4 16)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.031 seconds of real time
% 0.21/0.53 0.027251 seconds of user run time
% 0.21/0.53 0.004234 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 2,014,368 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T01:45:55
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------