%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP532-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 11:39:18 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 4 RR)
% Number of literals : 19 ( 18 equ; 3 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 : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,divide(Y,Z)),divide(X,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(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(5,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(6,plain,
divide(a,inverse(b)) != divide(b,inverse(a)),
inference('REWRITE',[status(thm)],[prove_these_axioms_4,5,theory(equality)]) ).
cnf(8,plain,
inverse(divide(divide(X,Y),X)) = Y,
inference('PARAMODULATE',[status(thm)],[inverse,single_axiom,theory(equality)]) ).
cnf(9,plain,
divide(X,divide(divide(Y,divide(Z,X)),Y)) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(11,plain,
divide(inverse(divide(X,Y)),inverse(X)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,inverse,theory(equality)]),inverse,theory(equality)]) ).
cnf(14,plain,
inverse(inverse(X)) = X,
inference('PARAMODULATE',[status(thm)],[8,inverse,theory(equality)]) ).
cnf(17,plain,
inverse(X) = divide(divide(Y,X),Y),
inference('PARAMODULATE',[status(thm)],[14,8,theory(equality)]) ).
cnf(18,plain,
divide(X,inverse(divide(Y,X))) = Y,
inference('REWRITE',[status(thm)],[9,17,theory(equality)]) ).
cnf(20,plain,
divide(X,divide(Y,Y)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[inverse,18,theory(equality)]),14,theory(equality)]) ).
cnf(21,plain,
divide(divide(X,Y),divide(X,Z)) = inverse(divide(Y,Z)),
inference('PARAMODULATE',[status(thm)],[single_axiom,18,theory(equality)]) ).
cnf(25,plain,
divide(inverse(X),inverse(Y)) = inverse(divide(X,Y)),
inference('PARAMODULATE',[status(thm)],[18,11,theory(equality)]) ).
cnf(28,plain,
divide(X,inverse(Y)) = inverse(divide(inverse(X),Y)),
inference('PARAMODULATE',[status(thm)],[25,14,theory(equality)]) ).
cnf(29,plain,
inverse(divide(inverse(a),b)) != divide(b,inverse(a)),
inference('REWRITE',[status(thm)],[6,28,theory(equality)]) ).
cnf(32,plain,
inverse(divide(X,Y)) = divide(Y,X),
inference('PARAMODULATE',[status(thm)],[20,21,theory(equality)]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[29,32,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP532-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 23:58:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:58:23
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-13T23:58:23
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 256 formulas have been input or derived (from 20 formulas).
% 0.18/0.50 ; 38 (15%) were retained. Of these,
% 0.18/0.50 ; 22 (58%) were simplified or subsumed later,
% 0.18/0.50 ; 16 (42%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.001 2% Read assertion file (1 call)
% 0.18/0.51 ; 0.000 0% Assert (4 calls)
% 0.18/0.51 ; 0.002 5% Process new row (207 calls)
% 0.18/0.51 ; 0.001 2% Resolution (38 calls)
% 0.18/0.51 ; 0.006 14% Paramodulation (19 calls)
% 0.18/0.51 ; 0.004 10% Forward simplification (196 calls)
% 0.18/0.51 ; 0.005 12% Backward simplification (38 calls)
% 0.18/0.51 ; 0.001 2% Ordering (446 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.022 52% Other
% 0.18/0.51 ; 0.042 Total
% 0.18/0.51 ; 0.044 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 106 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.51 ; Path-index has 45 entries (64 at peak, 123 added, 78 deleted).
% 0.18/0.51 ; Path-index has 177 nodes (209 at peak, 267 added, 90 deleted).
% 0.18/0.51 ; Trie-index has 45 entries (64 at peak, 123 added, 78 deleted).
% 0.18/0.51 ; Trie-index has 148 nodes (211 at peak, 376 added, 228 deleted).
% 0.18/0.51 ; Retrieved 306 generalization terms in 852 calls.
% 0.18/0.51 ; Retrieved 113 instance terms in 44 calls.
% 0.18/0.51 ; Retrieved 408 unifiable terms in 116 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 34 entries:
% 0.18/0.51 ; 3 with value 15 2 with value 19 6 with value 22
% 0.18/0.51 ; 2 with value 16 2 with value 20 3 with value 23
% 0.18/0.51 ; 1 with value 17 5 with value 21 2 with value 24
% 0.18/0.51 ; 8 with value 18
% 0.18/0.51 ; The agenda of rows to give has 8 entries:
% 0.18/0.51 ; 2 with value (4 14) 1 with value (4 16) 1 with value (4 18)
% 0.18/0.51 ; 2 with value (4 15) 1 with value (4 17) 1 with value (4 21)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.044 seconds of real time
% 0.18/0.51 0.037246 seconds of user run time
% 0.18/0.51 0.007043 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,206,328 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:58:23
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------