TSTP Solution File: GRP467-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 11:39:00 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 11 equ; 4 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 : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = Z,
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,X),divide(divide(divide(Y,divide(Z,U)),inverse(Z)),divide(Y,inverse(U)))) = divide(V,V),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
divide(X,X) = divide(Y,Y),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(22,plain,
divide(divide(X,X),inverse(a2)) != a2,
inference('PARAMODULATE',[status(thm)],[4,7,theory(equality)]) ).
cnf(23,plain,
divide(divide(X,X),divide(Y,divide(divide(Z,Z),inverse(U)))) = divide(U,Y),
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(30,plain,
divide(X,divide(divide(Y,Y),inverse(X))) = divide(Z,Z),
inference('PARAMODULATE',[status(thm)],[7,23,theory(equality)]) ).
cnf(31,plain,
divide(divide(X,divide(divide(Y,Y),inverse(X))),inverse(a2)) != a2,
inference('PARAMODULATE',[status(thm)],[22,23,theory(equality)]) ).
cnf(46,plain,
divide(divide(X,X),inverse(Y)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,30,theory(equality)]),23,theory(equality)]) ).
cnf(70,plain,
$false,
inference('REWRITE',[status(thm)],[31,46,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 02:26:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-14T02:26:51
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T02:26:51
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 145 formulas have been input or derived (from 9 formulas).
% 0.19/0.52 ; 70 (48%) were retained. Of these,
% 0.19/0.52 ; 46 (66%) were simplified or subsumed later,
% 0.19/0.52 ; 24 (34%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.001 2% Read assertion file (1 call)
% 0.19/0.53 ; 0.000 0% Assert (3 calls)
% 0.19/0.53 ; 0.012 23% Process new row (117 calls)
% 0.19/0.53 ; 0.000 0% Resolution (16 calls)
% 0.19/0.53 ; 0.003 6% Paramodulation (8 calls)
% 0.19/0.53 ; 0.007 13% Forward simplification (116 calls)
% 0.19/0.53 ; 0.005 10% Backward simplification (69 calls)
% 0.19/0.53 ; 0.002 4% Ordering (296 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.022 42% Other
% 0.19/0.53 ; 0.052 Total
% 0.19/0.53 ; 0.054 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 336 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.53 ; Path-index has 130 entries (224 at peak, 371 added, 241 deleted).
% 0.19/0.53 ; Path-index has 849 nodes (896 at peak, 1,178 added, 329 deleted).
% 0.19/0.53 ; Trie-index has 130 entries (224 at peak, 371 added, 241 deleted).
% 0.19/0.53 ; Trie-index has 576 nodes (1,223 at peak, 1,926 added, 1,350 deleted).
% 0.19/0.53 ; Retrieved 280 generalization terms in 813 calls.
% 0.19/0.53 ; Retrieved 251 instance terms in 68 calls.
% 0.19/0.53 ; Retrieved 624 unifiable terms in 65 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.19/0.53 ; 8 with value 0
% 0.19/0.53 ; The agenda of rows to process has 16 entries:
% 0.19/0.53 ; 2 with value 28 2 with value 33 2 with value 38
% 0.19/0.53 ; 2 with value 31 1 with value 34 2 with value 39
% 0.19/0.53 ; 2 with value 32 3 with value 37
% 0.19/0.53 ; The agenda of rows to give has 21 entries:
% 0.19/0.53 ; 1 with value (4 16) 1 with value (4 25) 1 with value (4 32)
% 0.19/0.53 ; 1 with value (4 18) 1 with value (4 26) 2 with value (4 34)
% 0.19/0.53 ; 2 with value (4 19) 1 with value (4 28) 2 with value (4 36)
% 0.19/0.53 ; 2 with value (4 20) 1 with value (4 30) 1 with value (4 37)
% 0.19/0.53 ; 2 with value (4 24) 2 with value (4 31) 1 with value (4 41)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.055 seconds of real time
% 0.19/0.53 0.050104 seconds of user run time
% 0.19/0.53 0.005029 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,803,720 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T02:26:51
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------