%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% 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 : 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 : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
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(4,plain,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,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(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(33,plain,
$false,
inference('REWRITE',[status(thm)],[4,27,28,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 16:45:06 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 2022-06-13T16:45:06
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-13T16:45:06
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 65 formulas have been input or derived (from 9 formulas).
% 0.18/0.49 ; 33 (51%) were retained. Of these,
% 0.18/0.49 ; 7 (21%) were simplified or subsumed later,
% 0.18/0.49 ; 26 (79%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.001 3% Read assertion file (1 call)
% 0.18/0.49 ; 0.000 0% Assert (3 calls)
% 0.18/0.49 ; 0.003 9% Process new row (49 calls)
% 0.18/0.49 ; 0.001 3% Resolution (16 calls)
% 0.18/0.49 ; 0.003 9% Paramodulation (8 calls)
% 0.18/0.49 ; 0.001 3% Forward simplification (49 calls)
% 0.18/0.49 ; 0.003 9% Backward simplification (32 calls)
% 0.18/0.49 ; 0.000 0% Ordering (137 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.022 65% Other
% 0.18/0.49 ; 0.034 Total
% 0.18/0.50 ; 0.035 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 186 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.50 ; Path-index has 169 entries (176 at peak, 197 added, 28 deleted).
% 0.18/0.50 ; Path-index has 718 nodes (718 at peak, 755 added, 37 deleted).
% 0.18/0.50 ; Trie-index has 169 entries (176 at peak, 197 added, 28 deleted).
% 0.18/0.50 ; Trie-index has 546 nodes (552 at peak, 632 added, 86 deleted).
% 0.18/0.50 ; Retrieved 112 generalization terms in 234 calls.
% 0.18/0.50 ; Retrieved 117 instance terms in 31 calls.
% 0.18/0.50 ; Retrieved 219 unifiable terms in 58 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 12 entries:
% 0.18/0.50 ; 2 with value 18 1 with value 21 1 with value 28
% 0.18/0.50 ; 1 with value 19 1 with value 23 1 with value 31
% 0.18/0.50 ; 1 with value 20 2 with value 25 2 with value 33
% 0.18/0.50 ; The agenda of rows to give has 19 entries:
% 0.18/0.50 ; 1 with value (4 16) 1 with value (4 22) 1 with value (4 29)
% 0.18/0.50 ; 1 with value (4 17) 1 with value (4 23) 2 with value (4 32)
% 0.18/0.50 ; 2 with value (4 18) 1 with value (4 24) 3 with value (4 35)
% 0.18/0.50 ; 1 with value (4 20) 1 with value (4 26) 2 with value (4 43)
% 0.18/0.50 ; 2 with value (4 21)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.035 seconds of real time
% 0.18/0.50 0.029963 seconds of user run time
% 0.18/0.50 0.005057 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,473,184 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T16:45:06
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------