TSTP Solution File: GRP554-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 11:39:24 EDT 2022
% Result : Unsatisfiable 0.36s 0.52s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 4 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,inverse(divide(Y,divide(X,Z)))),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(divide(X,inverse(Y)),Z) = divide(U,inverse(divide(Y,divide(U,divide(X,Z))))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
divide(divide(divide(X,inverse(Y)),Z),divide(X,Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(8,plain,
divide(X,inverse(divide(divide(Y,divide(Z,U)),divide(X,divide(Z,U))))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(21,plain,
divide(X,divide(divide(Y,inverse(X)),divide(Y,inverse(Z)))) = Z,
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(33,plain,
divide(divide(X,divide(Y,divide(Y,inverse(Z)))),X) = Z,
inference('PARAMODULATE',[status(thm)],[21,single_axiom,theory(equality)]) ).
cnf(46,plain,
divide(divide(X,inverse(Y)),Z) = divide(divide(X,Z),divide(U,divide(U,inverse(Y)))),
inference('PARAMODULATE',[status(thm)],[single_axiom,33,theory(equality)]) ).
cnf(61,plain,
divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[8,8,theory(equality)]) ).
cnf(63,plain,
divide(X,inverse(Y)) = divide(X,divide(Z,divide(Z,inverse(Y)))),
inference('PARAMODULATE',[status(thm)],[61,33,theory(equality)]) ).
cnf(72,plain,
divide(divide(X,inverse(Y)),Z) = divide(divide(X,Z),inverse(Y)),
inference('REWRITE',[status(thm)],[46,63,theory(equality)]) ).
cnf(79,plain,
divide(divide(inverse(b2),inverse(a2)),inverse(b2)) != a2,
inference('REWRITE',[status(thm)],[4,72,theory(equality)]) ).
cnf(81,plain,
divide(divide(X,inverse(Y)),X) = Y,
inference('REWRITE',[status(thm)],[33,63,theory(equality)]) ).
cnf(82,plain,
$false,
inference('REWRITE',[status(thm)],[79,81,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 09:21:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T09:21:42
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-13T09:21:42
% 0.36/0.52
% 0.36/0.52
% 0.36/0.52 #||
% 0.36/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.52 % SZS output start Refutation
% See solution above
% 0.36/0.52 ||#
% 0.36/0.52
% 0.36/0.52 ; Summary of computation:
% 0.36/0.52 ; 171 formulas have been input or derived (from 10 formulas).
% 0.36/0.52 ; 82 (48%) were retained. Of these,
% 0.36/0.52 ; 24 (29%) were simplified or subsumed later,
% 0.36/0.52 ; 58 (71%) are still being kept.
% 0.36/0.52 ;
% 0.36/0.52 ; Run time in seconds excluding printing time:
% 0.36/0.52 ; 0.001 2% Read assertion file (1 call)
% 0.36/0.52 ; 0.000 0% Assert (3 calls)
% 0.36/0.52 ; 0.017 29% Process new row (140 calls)
% 0.36/0.52 ; 0.000 0% Resolution (18 calls)
% 0.36/0.52 ; 0.006 10% Paramodulation (9 calls)
% 0.36/0.52 ; 0.002 3% Forward simplification (113 calls)
% 0.36/0.52 ; 0.005 8% Backward simplification (81 calls)
% 0.36/0.52 ; 0.004 7% Ordering (448 calls)
% 0.36/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.52 ; 0.000 0% Purity testing (1 call)
% 0.36/0.52 ; 0.024 41% Other
% 0.36/0.52 ; 0.059 Total
% 0.36/0.52 ; 0.062 Real time
% 0.36/0.52 ;
% 0.36/0.52 ; Term-hash-array has 433 terms in all.
% 0.36/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.36/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.36/0.52 ; Path-index has 324 entries (356 at peak, 441 added, 117 deleted).
% 0.36/0.52 ; Path-index has 1,049 nodes (1,108 at peak, 1,186 added, 137 deleted).
% 0.36/0.52 ; Trie-index has 324 entries (356 at peak, 441 added, 117 deleted).
% 0.36/0.52 ; Trie-index has 1,402 nodes (1,587 at peak, 1,913 added, 511 deleted).
% 0.36/0.52 ; Retrieved 144 generalization terms in 730 calls.
% 0.36/0.52 ; Retrieved 298 instance terms in 94 calls.
% 0.36/0.52 ; Retrieved 623 unifiable terms in 74 calls.
% 0.36/0.52 ;
% 0.36/0.52 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.36/0.52 ; 3 with value 0
% 0.36/0.52 ; The agenda of rows to process has 25 entries:
% 0.36/0.52 ; 1 with value 24 1 with value 28 1 with value 32
% 0.36/0.52 ; 3 with value 25 3 with value 29 4 with value 35
% 0.36/0.52 ; 2 with value 26 3 with value 30 1 with value 37
% 0.36/0.52 ; 5 with value 27 1 with value 31
% 0.36/0.52 ; The agenda of input rows to give has 1 entry:
% 0.36/0.52 ; 1 with value 17
% 0.36/0.52 ; The agenda of rows to give has 51 entries:
% 0.36/0.52 ; 1 with value (4 16) 3 with value (4 27) 3 with value (4 33)
% 0.36/0.52 ; 2 with value (4 22) 4 with value (4 28) 2 with value (4 34)
% 0.36/0.52 ; 2 with value (4 23) 3 with value (4 29) 2 with value (4 36)
% 0.36/0.52 ; 3 with value (4 24) 2 with value (4 30) 3 with value (4 37)
% 0.36/0.52 ; 3 with value (4 25) 8 with value (4 31) 3 with value (4 39)
% 0.36/0.52 ; 2 with value (4 26) 5 with value (4 32)
% 0.36/0.52 Evaluation took:
% 0.36/0.53 0.063 seconds of real time
% 0.36/0.53 0.0567 seconds of user run time
% 0.36/0.53 0.005859 seconds of system run time
% 0.36/0.53 0 calls to %EVAL
% 0.36/0.53 0 page faults and
% 0.36/0.53 4,229,648 bytes consed.
% 0.36/0.53 :PROOF-FOUND
% 0.36/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T09:21:42
% 0.36/0.53 :PROOF-FOUND
% 0.36/0.53 *
%------------------------------------------------------------------------------