%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP525-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 11:39:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 12 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,divide(divide(X,Y),divide(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(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(5,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(6,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference('REWRITE',[status(thm)],[prove_these_axioms_1,5,theory(equality)]) ).
cnf(8,plain,
divide(X,inverse(divide(Y,X))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(10,plain,
inverse(divide(inverse(X),divide(Y,X))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,inverse,theory(equality)]),inverse,theory(equality)]) ).
cnf(11,plain,
divide(X,divide(divide(X,Y),inverse(Y))) = divide(Z,Z),
inference('PARAMODULATE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(25,plain,
divide(divide(X,Y),X) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[8,10,theory(equality)]) ).
cnf(32,plain,
divide(divide(X,Y),inverse(Y)) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,25,theory(equality)]) ).
cnf(33,plain,
divide(X,X) = divide(Y,Y),
inference('REWRITE',[status(thm)],[11,32,theory(equality)]) ).
cnf(34,plain,
$false,
inference('REWRITE',[status(thm)],[6,33,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP525-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 08:49:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T08:49:37
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-13T08:49:37
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 57 formulas have been input or derived (from 9 formulas).
% 0.19/0.51 ; 34 (60%) were retained. Of these,
% 0.19/0.51 ; 5 (15%) were simplified or subsumed later,
% 0.19/0.51 ; 29 (85%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.51 ; 0.000 0% Assert (4 calls)
% 0.19/0.51 ; 0.004 12% Process new row (45 calls)
% 0.19/0.51 ; 0.000 0% Resolution (16 calls)
% 0.19/0.51 ; 0.002 6% Paramodulation (8 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (45 calls)
% 0.19/0.51 ; 0.003 9% Backward simplification (34 calls)
% 0.19/0.51 ; 0.000 0% Ordering (132 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 69% Other
% 0.19/0.51 ; 0.032 Total
% 0.19/0.51 ; 0.034 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 115 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51 ; Path-index has 99 entries (109 at peak, 123 added, 24 deleted).
% 0.19/0.51 ; Path-index has 400 nodes (414 at peak, 431 added, 31 deleted).
% 0.19/0.51 ; Trie-index has 99 entries (109 at peak, 123 added, 24 deleted).
% 0.19/0.51 ; Trie-index has 365 nodes (392 at peak, 424 added, 59 deleted).
% 0.19/0.51 ; Retrieved 35 generalization terms in 192 calls.
% 0.19/0.51 ; Retrieved 72 instance terms in 34 calls.
% 0.19/0.51 ; Retrieved 142 unifiable terms in 49 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.51 ; 1 with value 0
% 0.19/0.51 ; The agenda of rows to process has 9 entries:
% 0.19/0.51 ; 2 with value 15 2 with value 17 3 with value 19
% 0.19/0.51 ; 2 with value 16
% 0.19/0.51 ; The agenda of rows to give has 21 entries:
% 0.19/0.51 ; 1 with value (4 10) 2 with value (4 17) 2 with value (4 20)
% 0.19/0.51 ; 1 with value (4 14) 3 with value (4 18) 2 with value (4 21)
% 0.19/0.51 ; 3 with value (4 15) 1 with value (4 19) 2 with value (4 22)
% 0.19/0.51 ; 4 with value (4 16)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.034 seconds of real time
% 0.19/0.51 0.030323 seconds of user run time
% 0.19/0.51 0.003969 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,378,712 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T08:49:37
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------