TSTP Solution File: GRP132-1.002 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 11:37:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 8 unt; 9 nHn; 20 RR)
% Number of literals : 39 ( 0 equ; 13 neg)
% Maximal clause size : 5 ( 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 : 16 ( 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(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
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(qg2_2,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(U,V,Z)
| ~ product(W,X,Y)
| ~ product(W,U,V)
| equalish(Y,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2_2) ).
cnf(11,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(12,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_2,e_1)
| product(e_1,e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]) ).
cnf(14,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(18,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,12,11]),e_1_is_not_e_2]) ).
cnf(24,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,14,12]),e_1_is_not_e_2]) ).
cnf(25,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,14,13]),e_1_is_not_e_2]) ).
cnf(28,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2_2,18,12,13,12]),e_1_is_not_e_2]) ).
cnf(30,plain,
product(e_1,e_1,e_1),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2_2,25,24,14,25]),e_2_is_not_e_1]) ).
cnf(31,plain,
~ product(e_2,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,30,e_1_is_not_e_2]) ).
cnf(34,plain,
product(e_1,e_2,e_1),
inference('REWRITE',[status(thm)],[28,31]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,30,e_1_is_not_e_2]),34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 12:16:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:16:52
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-13T12:16:52
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 389 formulas have been input or derived (from 24 formulas).
% 0.20/0.52 ; 35 ( 9%) were retained. Of these,
% 0.20/0.52 ; 17 (49%) were simplified or subsumed later,
% 0.20/0.52 ; 18 (51%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 4% Read assertion file (1 call)
% 0.20/0.52 ; 0.000 0% Assert (10 calls)
% 0.20/0.52 ; 0.004 8% Process new row (255 calls)
% 0.20/0.52 ; 0.012 25% Resolution (46 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (23 calls)
% 0.20/0.52 ; 0.000 0% Factoring (10 calls)
% 0.20/0.52 ; 0.000 0% Condensing (82 calls)
% 0.20/0.52 ; 0.003 6% Forward subsumption (82 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (23 calls)
% 0.20/0.52 ; 0.001 2% Clause clause subsumption (137 calls)
% 0.20/0.52 ; 0.003 6% Forward simplification (160 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (35 calls)
% 0.20/0.52 ; 0.000 0% Ordering (27 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.001 2% Purity testing (1 call)
% 0.20/0.52 ; 0.022 46% Other
% 0.20/0.52 ; 0.048 Total
% 0.20/0.52 ; 0.052 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 29 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 6 entries (21 at peak, 23 added, 17 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 8 nodes (38 at peak, 42 added, 34 deleted).
% 0.20/0.52 ; Retrieved 324 possibly forward subsuming rows in 82 calls.
% 0.20/0.52 ; Retrieved 16 possibly backward subsumed rows in 23 calls.
% 0.20/0.52 ; Path-index has 28 entries (31 at peak, 32 added, 4 deleted).
% 0.20/0.52 ; Path-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 28 entries (31 at peak, 32 added, 4 deleted).
% 0.20/0.52 ; Trie-index has 33 nodes (36 at peak, 37 added, 4 deleted).
% 0.20/0.52 ; Retrieved 115 generalization terms in 155 calls.
% 0.20/0.52 ; Retrieved 11 instance terms in 11 calls.
% 0.20/0.52 ; Retrieved 2,650 unifiable terms in 929 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 11 entries:
% 0.20/0.52 ; 3 with value 9 4 with value 13 4 with value 18
% 0.20/0.52 ; The agenda of rows to give has 4 entries:
% 0.20/0.52 ; 1 with value (4 6) 1 with value (4 8) 1 with value (4 9)
% 0.20/0.52 ; 1 with value (4 7)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.052 seconds of real time
% 0.20/0.52 0.042937 seconds of user run time
% 0.20/0.52 0.00902 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,741,992 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:16:52
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------