TSTP Solution File: GRP128-1.003 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP128-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 11:36:53 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 10 unt; 13 nHn; 26 RR)
% Number of literals : 57 ( 0 equ; 12 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(product_total_function1,axiom,
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(qg3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Z,Y,U)
| product(X,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(15,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_3]) ).
cnf(18,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_3]) ).
cnf(21,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_3]) ).
cnf(36,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,18,15]),e_2_is_not_e_3]) ).
cnf(49,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,21,15]),e_1_is_not_e_3]) ).
cnf(81,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,36,18]) ).
cnf(82,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,81,18]) ).
cnf(87,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,49,21]) ).
cnf(88,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,87,21]) ).
cnf(89,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,88,82]),e_1_is_not_e_2]) ).
cnf(93,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,89,88]) ).
cnf(96,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,93,93]) ).
cnf(103,plain,
product(e_1,e_1,e_1),
inference('HYPERRESOLVE',[status(thm)],[qg3,96,96]) ).
cnf(114,plain,
~ product(e_1,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,103,e_1_is_not_e_2]) ).
cnf(116,plain,
product(e_1,e_3,e_1),
inference('REWRITE',[status(thm)],[93,114]) ).
cnf(119,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,103,e_1_is_not_e_3]),116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP128-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.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 : Tue Jun 14 07:48:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:48:23
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-14T07:48:23
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 541 formulas have been input or derived (from 53 formulas).
% 0.19/0.53 ; 119 (22%) were retained. Of these,
% 0.19/0.53 ; 85 (71%) were simplified or subsumed later,
% 0.19/0.53 ; 34 (29%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.002 3% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 1% Assert (14 calls)
% 0.19/0.53 ; 0.009 12% Process new row (412 calls)
% 0.19/0.53 ; 0.013 18% Resolution (104 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (52 calls)
% 0.19/0.53 ; 0.000 0% Factoring (34 calls)
% 0.19/0.53 ; 0.001 1% Condensing (187 calls)
% 0.19/0.53 ; 0.011 15% Forward subsumption (187 calls)
% 0.19/0.53 ; 0.006 8% Backward subsumption (98 calls)
% 0.19/0.53 ; 0.002 3% Clause clause subsumption (548 calls)
% 0.19/0.53 ; 0.003 4% Forward simplification (274 calls)
% 0.19/0.53 ; 0.001 1% Backward simplification (119 calls)
% 0.19/0.53 ; 0.002 3% Ordering (317 calls)
% 0.19/0.53 ; 0.001 1% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.022 30% Other
% 0.19/0.53 ; 0.074 Total
% 0.19/0.53 ; 0.077 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 53 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 13 entries (53 at peak, 98 added, 85 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 35 nodes (126 at peak, 241 added, 206 deleted).
% 0.19/0.53 ; Retrieved 446 possibly forward subsuming rows in 187 calls.
% 0.19/0.53 ; Retrieved 262 possibly backward subsumed rows in 98 calls.
% 0.19/0.53 ; Path-index has 48 entries (56 at peak, 69 added, 21 deleted).
% 0.19/0.53 ; Path-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 48 entries (56 at peak, 69 added, 21 deleted).
% 0.19/0.53 ; Trie-index has 62 nodes (70 at peak, 85 added, 23 deleted).
% 0.19/0.53 ; Retrieved 146 generalization terms in 223 calls.
% 0.19/0.53 ; Retrieved 20 instance terms in 20 calls.
% 0.19/0.53 ; Retrieved 2,455 unifiable terms in 586 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 13 entries:
% 0.19/0.53 ; 9 with value 14 4 with value 18
% 0.19/0.53 ; The agenda of rows to give has 13 entries:
% 0.19/0.53 ; 1 with value (4 8) 1 with value (4 12) 1 with value (4 15)
% 0.19/0.53 ; 1 with value (4 9) 5 with value (4 14) 1 with value (4 18)
% 0.19/0.53 ; 3 with value (4 11)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.077 seconds of real time
% 0.19/0.53 0.064756 seconds of user run time
% 0.19/0.53 0.012884 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 5,339,344 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:48:24
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------