TSTP Solution File: GRP135-1.002 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP135-1.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 11:37:04 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 7 unt; 7 nHn; 17 RR)
% Number of literals : 32 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(product_total_function1,axiom,
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(product_right_cancellation,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,Z)
| equalish(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(product_left_cancellation,axiom,
( ~ product(X,Y,Z)
| ~ product(U,Y,Z)
| equalish(X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(qg3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Z,X,U)
| product(U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(10,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_2]) ).
cnf(11,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]) ).
cnf(13,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_1]) ).
cnf(17,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,11,10]) ).
cnf(23,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,13,11]) ).
cnf(27,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,17,11]) ).
cnf(29,plain,
product(e_1,e_1,e_1),
inference('HYPERRESOLVE',[status(thm)],[qg3,23,13]) ).
cnf(30,plain,
~ product(e_2,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,29,e_1_is_not_e_2]) ).
cnf(33,plain,
product(e_1,e_2,e_1),
inference('REWRITE',[status(thm)],[27,30]) ).
cnf(34,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,29,e_1_is_not_e_2]),33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP135-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.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 20:43:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-13T20:43:09
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-13T20:43:09
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/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 ; 140 formulas have been input or derived (from 22 formulas).
% 0.18/0.49 ; 34 (24%) were retained. Of these,
% 0.18/0.49 ; 17 (50%) were simplified or subsumed later,
% 0.18/0.49 ; 17 (50%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.002 6% Read assertion file (1 call)
% 0.18/0.49 ; 0.000 0% Assert (9 calls)
% 0.18/0.49 ; 0.003 9% Process new row (89 calls)
% 0.18/0.49 ; 0.004 12% Resolution (42 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (21 calls)
% 0.18/0.49 ; 0.000 0% Factoring (9 calls)
% 0.18/0.49 ; 0.000 0% Condensing (43 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (43 calls)
% 0.18/0.49 ; 0.001 3% Backward subsumption (22 calls)
% 0.18/0.49 ; 0.001 3% Clause clause subsumption (59 calls)
% 0.18/0.49 ; 0.002 6% Forward simplification (67 calls)
% 0.18/0.49 ; 0.000 0% Backward simplification (34 calls)
% 0.18/0.49 ; 0.000 0% Ordering (26 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 ; 0.021 62% Other
% 0.18/0.49 ; 0.034 Total
% 0.18/0.49 ; 0.036 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 27 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 5 entries (20 at peak, 22 added, 17 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 9 nodes (39 at peak, 47 added, 38 deleted).
% 0.18/0.49 ; Retrieved 80 possibly forward subsuming rows in 43 calls.
% 0.18/0.49 ; Retrieved 14 possibly backward subsumed rows in 22 calls.
% 0.18/0.49 ; Path-index has 26 entries (29 at peak, 30 added, 4 deleted).
% 0.18/0.49 ; Path-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.18/0.49 ; Trie-index has 26 entries (29 at peak, 30 added, 4 deleted).
% 0.18/0.49 ; Trie-index has 33 nodes (36 at peak, 37 added, 4 deleted).
% 0.18/0.49 ; Retrieved 25 generalization terms in 50 calls.
% 0.18/0.49 ; Retrieved 11 instance terms in 11 calls.
% 0.18/0.49 ; Retrieved 701 unifiable terms in 214 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 4 entries:
% 0.18/0.49 ; 4 with value 9
% 0.18/0.49 ; The agenda of rows to give has 4 entries:
% 0.18/0.49 ; 1 with value (4 6) 1 with value (4 8) 1 with value (4 9)
% 0.18/0.49 ; 1 with value (4 7)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.037 seconds of real time
% 0.18/0.49 0.032158 seconds of user run time
% 0.18/0.49 0.00401 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 2,681,552 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T20:43:09
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------