%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP560-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 11:39:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 3 RR)
% Number of literals : 19 ( 18 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(4,plain,
divide(a,inverse(b)) != divide(b,inverse(a)),
inference('REWRITE',[status(thm)],[prove_these_axioms_4,multiply,theory(equality)]) ).
cnf(5,plain,
divide(X,inverse(divide(Y,divide(X,inverse(divide(divide(Y,Z),divide(U,Z))))))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
divide(X,inverse(divide(Y,Y))) = X,
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(13,plain,
divide(X,inverse(divide(Y,X))) = Y,
inference('PARAMODULATE',[status(thm)],[5,7,theory(equality)]) ).
cnf(16,plain,
divide(inverse(divide(X,Y)),inverse(X)) = Y,
inference('PARAMODULATE',[status(thm)],[13,13,theory(equality)]) ).
cnf(18,plain,
divide(divide(X,Y),inverse(divide(Z,divide(Z,Y)))) = X,
inference('PARAMODULATE',[status(thm)],[5,13,theory(equality)]) ).
cnf(27,plain,
X = inverse(divide(divide(Y,Y),X)),
inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]) ).
cnf(28,plain,
divide(inverse(X),inverse(Y)) = inverse(divide(X,Y)),
inference('PARAMODULATE',[status(thm)],[13,16,theory(equality)]) ).
cnf(42,plain,
divide(X,divide(Y,Y)) = X,
inference('PARAMODULATE',[status(thm)],[7,27,theory(equality)]) ).
cnf(45,plain,
divide(divide(X,X),inverse(Y)) = Y,
inference('PARAMODULATE',[status(thm)],[13,42,theory(equality)]) ).
cnf(47,plain,
inverse(divide(X,divide(Y,inverse(X)))) = Y,
inference('PARAMODULATE',[status(thm)],[13,28,theory(equality)]) ).
cnf(69,plain,
divide(divide(X,inverse(Y)),X) = Y,
inference('PARAMODULATE',[status(thm)],[13,47,theory(equality)]) ).
cnf(79,plain,
X = divide(Y,divide(Y,X)),
inference('PARAMODULATE',[status(thm)],[45,18,theory(equality)]) ).
cnf(80,plain,
divide(divide(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[18,79,theory(equality)]) ).
cnf(102,plain,
divide(X,inverse(Y)) = divide(Y,inverse(X)),
inference('PARAMODULATE',[status(thm)],[80,69,theory(equality)]) ).
cnf(103,plain,
$false,
inference('REWRITE',[status(thm)],[4,102,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP560-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 : Mon Jun 13 23:49:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-13T23:49:39
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-13T23:49:39
% 0.19/0.55
% 0.19/0.55
% 0.19/0.55 #||
% 0.19/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.55 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 620 formulas have been input or derived (from 26 formulas).
% 0.19/0.55 ; 103 (17%) were retained. Of these,
% 0.19/0.55 ; 69 (67%) were simplified or subsumed later,
% 0.19/0.55 ; 34 (33%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.001 1% Read assertion file (1 call)
% 0.19/0.55 ; 0.000 0% Assert (3 calls)
% 0.19/0.55 ; 0.013 17% Process new row (567 calls)
% 0.19/0.55 ; 0.002 3% Resolution (50 calls)
% 0.19/0.55 ; 0.013 17% Paramodulation (25 calls)
% 0.19/0.55 ; 0.010 13% Forward simplification (511 calls)
% 0.19/0.55 ; 0.009 12% Backward simplification (102 calls)
% 0.19/0.55 ; 0.001 1% Ordering (1,007 calls)
% 0.19/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.028 36% Other
% 0.19/0.55 ; 0.077 Total
% 0.19/0.55 ; 0.079 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 398 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.55 ; Path-index has 117 entries (228 at peak, 423 added, 306 deleted).
% 0.19/0.55 ; Path-index has 825 nodes (853 at peak, 1,187 added, 362 deleted).
% 0.19/0.55 ; Trie-index has 117 entries (228 at peak, 423 added, 306 deleted).
% 0.19/0.55 ; Trie-index has 304 nodes (704 at peak, 1,277 added, 973 deleted).
% 0.19/0.55 ; Retrieved 963 generalization terms in 2,153 calls.
% 0.19/0.55 ; Retrieved 389 instance terms in 116 calls.
% 0.19/0.55 ; Retrieved 1,495 unifiable terms in 171 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 18 entries:
% 0.19/0.55 ; 5 with value 21 4 with value 23 4 with value 25
% 0.19/0.55 ; 3 with value 22 2 with value 24
% 0.19/0.55 ; The agenda of rows to give has 27 entries:
% 0.19/0.55 ; 1 with value (4 13) 2 with value (4 19) 2 with value (4 25)
% 0.19/0.55 ; 1 with value (4 16) 2 with value (4 20) 2 with value (4 26)
% 0.19/0.55 ; 1 with value (4 17) 8 with value (4 22) 2 with value (4 30)
% 0.19/0.55 ; 2 with value (4 18) 4 with value (4 24)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.079 seconds of real time
% 0.19/0.55 0.070265 seconds of user run time
% 0.19/0.55 0.009244 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 4,962,792 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T23:49:39
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------