TSTP Solution File: GRP129-1.003 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP129-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 11:36:55 EDT 2022
% Result : Unsatisfiable 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of clauses : 66 ( 22 unt; 41 nHn; 66 RR)
% Number of literals : 163 ( 0 equ; 21 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_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
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(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_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)
| 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(Y,Z,U)
| product(Z,X,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(16,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_2]) ).
cnf(17,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_1]) ).
cnf(20,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]) ).
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(22,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]) ).
cnf(23,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_1]) ).
cnf(30,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,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_right_cancellation,17,15]),e_1_is_not_e_3]) ).
cnf(31,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,17,16]),e_1_is_not_e_2]) ).
cnf(48,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(61,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,23,17]),e_1_is_not_e_3]) ).
cnf(62,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,23,20]),e_1_is_not_e_2]) ).
cnf(76,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,31,30]),e_2_is_not_e_3]) ).
cnf(90,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_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,48,21]) ).
cnf(113,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,62,61]),e_2_is_not_e_3]) ).
cnf(131,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,76,17]) ).
cnf(144,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,90,21]) ).
cnf(153,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,113,23]) ).
cnf(164,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,131,76]) ).
cnf(166,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,164,30]) ).
cnf(172,plain,
( product(e_1,e_3,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,144,17]) ).
cnf(175,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,144,48]),e_1_is_not_e_3]) ).
cnf(181,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,153,23]),e_3_is_not_e_1]) ).
cnf(182,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,181,23]) ).
cnf(190,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,182,23]),e_2_is_not_e_1]) ).
cnf(204,plain,
( product(e_1,e_3,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,172,144]),e_3_is_not_e_1]) ).
cnf(205,plain,
( product(e_1,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,204,190]),e_3_is_not_e_1]) ).
cnf(208,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,205,190]) ).
cnf(216,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,208,190]),e_3_is_not_e_1]) ).
cnf(222,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,175,21]) ).
cnf(234,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,166,164]),e_3_is_not_e_2]) ).
cnf(235,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,234,17]) ).
cnf(241,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,235,234]) ).
cnf(242,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,241,190]),e_3_is_not_e_1]) ).
cnf(243,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,241,22]) ).
cnf(245,plain,
product(e_1,e_1,e_1),
inference('HYPERRESOLVE',[status(thm)],[qg3,242,216]) ).
cnf(246,plain,
~ product(e_2,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,245,e_1_is_not_e_2]) ).
cnf(247,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference('REWRITE',[status(thm)],[20,246]) ).
cnf(267,plain,
~ product(e_3,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,245,e_1_is_not_e_3]) ).
cnf(270,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference('REWRITE',[status(thm)],[222,267]) ).
cnf(277,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_3,e_3) ),
inference('REWRITE',[status(thm)],[243,267]) ).
cnf(286,plain,
~ product(e_1,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,245,e_1_is_not_e_2]) ).
cnf(287,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference('REWRITE',[status(thm)],[22,286]) ).
cnf(292,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_3,e_3) ),
inference('REWRITE',[status(thm)],[277,286]) ).
cnf(293,plain,
~ product(e_1,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,245,e_1_is_not_e_3]) ).
cnf(294,plain,
product(e_1,e_3,e_2),
inference('REWRITE',[status(thm)],[270,293]) ).
cnf(308,plain,
~ product(e_1,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,294,e_3_is_not_e_2]) ).
cnf(309,plain,
product(e_1,e_2,e_3),
inference('REWRITE',[status(thm)],[287,308]) ).
cnf(311,plain,
product(e_2,e_3,e_3),
inference('REWRITE',[status(thm)],[292,308]) ).
cnf(315,plain,
~ product(e_2,e_2,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,309,e_1_is_not_e_2]) ).
cnf(317,plain,
~ product(e_2,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[qg3,315,309]) ).
cnf(318,plain,
product(e_2,e_1,e_3),
inference('REWRITE',[status(thm)],[247,317]) ).
cnf(322,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,318,e_1_is_not_e_3]),311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP129-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 07:25:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:25:49
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-14T07:25:49
% 0.61/0.77
% 0.61/0.77
% 0.61/0.77 #||
% 0.61/0.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.77 % SZS output start Refutation
% See solution above
% 0.61/0.77 ||#
% 0.61/0.77
% 0.61/0.77 ; Summary of computation:
% 0.61/0.77 ; 2723 formulas have been input or derived (from 96 formulas).
% 0.61/0.77 ; 322 (12%) were retained. Of these,
% 0.61/0.77 ; 279 (87%) were simplified or subsumed later,
% 0.61/0.77 ; 43 (13%) are still being kept.
% 0.61/0.77 ;
% 0.61/0.77 ; Run time in seconds excluding printing time:
% 0.61/0.77 ; 0.003 1% Read assertion file (1 call)
% 0.61/0.77 ; 0.000 0% Assert (14 calls)
% 0.61/0.77 ; 0.030 11% Process new row (2,449 calls)
% 0.61/0.77 ; 0.048 17% Resolution (190 calls)
% 0.61/0.77 ; 0.001 0% Paramodulation (95 calls)
% 0.61/0.77 ; 0.000 0% Factoring (73 calls)
% 0.61/0.77 ; 0.003 1% Condensing (1,225 calls)
% 0.61/0.77 ; 0.086 30% Forward subsumption (1,225 calls)
% 0.61/0.77 ; 0.014 5% Backward subsumption (285 calls)
% 0.61/0.77 ; 0.021 7% Clause clause subsumption (8,769 calls)
% 0.61/0.77 ; 0.037 13% Forward simplification (1,894 calls)
% 0.61/0.77 ; 0.005 2% Backward simplification (322 calls)
% 0.61/0.77 ; 0.004 1% Ordering (2,620 calls)
% 0.61/0.77 ; 0.000 0% Sortal reasoning (32 calls)
% 0.61/0.77 ; 0.000 0% Purity testing (1 call)
% 0.61/0.77 ; 0.031 11% Other
% 0.61/0.77 ; 0.283 Total
% 0.61/0.77 ; 0.291 Real time
% 0.61/0.77 ;
% 0.61/0.77 ; Term-hash-array has 53 terms in all.
% 0.61/0.77 ; Feature-vector-row-index has 6 entries (95 at peak, 285 added, 279 deleted).
% 0.61/0.77 ; Feature-vector-row-index has 15 nodes (291 at peak, 702 added, 687 deleted).
% 0.61/0.77 ; Retrieved 14,996 possibly forward subsuming rows in 1,225 calls.
% 0.61/0.77 ; Retrieved 2,066 possibly backward subsumed rows in 285 calls.
% 0.61/0.77 ; Path-index has 55 entries (56 at peak, 75 added, 20 deleted).
% 0.61/0.77 ; Path-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.61/0.77 ; Trie-index has 55 entries (56 at peak, 75 added, 20 deleted).
% 0.61/0.77 ; Trie-index has 69 nodes (70 at peak, 89 added, 20 deleted).
% 0.61/0.77 ; Retrieved 1,394 generalization terms in 1,667 calls.
% 0.61/0.77 ; Retrieved 36 instance terms in 36 calls.
% 0.61/0.77 ; Retrieved 5,696 unifiable terms in 1,318 calls.
% 0.61/0.77 ;
% 0.61/0.77 ; The agenda of rows to process has 9 entries:
% 0.61/0.77 ; 8 with value 7 1 with value 12
% 0.61/0.77 ; The agenda of rows to give has 20 entries:
% 0.61/0.77 ; 2 with value (4 7) 1 with value (4 10) 1 with value (4 14)
% 0.61/0.77 ; 1 with value (4 8) 2 with value (4 11) 1 with value (4 15)
% 0.61/0.77 ; 1 with value (4 9) 5 with value (4 12) 6 with value (4 17)
% 0.61/0.77 Evaluation took:
% 0.61/0.77 0.291 seconds of real time
% 0.61/0.77 0.242128 seconds of user run time
% 0.61/0.77 0.049021 seconds of system run time
% 0.61/0.77 [Run times include 0.007 seconds GC run time.]
% 0.61/0.77 0 calls to %EVAL
% 0.61/0.77 0 page faults and
% 0.61/0.77 26,311,208 bytes consed.
% 0.61/0.77 :PROOF-FOUND
% 0.61/0.77 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:25:49
% 0.61/0.77 :PROOF-FOUND
% 0.61/0.77 *
%------------------------------------------------------------------------------