%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP130-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 11:36:59 EDT 2022
% Result : Unsatisfiable 0.42s 0.60s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 13 unt; 10 nHn; 27 RR)
% Number of literals : 58 ( 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 : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(row_surjectivity,axiom,
( ~ group_element(X)
| ~ group_element(Y)
| product(e_1,X,Y)
| product(e_2,X,Y)
| product(e_3,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_surjectivity) ).
cnf(column_surjectivity,axiom,
( ~ group_element(X)
| ~ group_element(Y)
| product(X,e_1,Y)
| product(X,e_2,Y)
| product(X,e_3,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_surjectivity) ).
cnf(qg3_1,negated_conjecture,
( product(X,Y,Z)
| ~ product(U,Y,X)
| ~ product(X,Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_1) ).
cnf(qg3_2,negated_conjecture,
( product(X,Y,Z)
| ~ product(Z,U,X)
| ~ product(X,U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_2) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
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_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(product_total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
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(25,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[row_surjectivity,element_1,element_3]) ).
cnf(36,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[column_surjectivity,element_1,element_1]) ).
cnf(39,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(74,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3_1,25,25]) ).
cnf(153,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3_2,36,36]) ).
cnf(154,plain,
product(e_1,e_1,e_1),
inference('HYPERRESOLVE',[status(thm)],[qg3_2,153,153]) ).
cnf(156,plain,
~ product(e_2,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,154,e_1_is_not_e_2]) ).
cnf(166,plain,
~ product(e_3,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,154,e_1_is_not_e_3]) ).
cnf(168,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference('REWRITE',[status(thm)],[39,166]) ).
cnf(169,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference('REWRITE',[status(thm)],[74,166]) ).
cnf(217,plain,
~ product(e_1,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_total_function2,154,e_1_is_not_e_3]) ).
cnf(222,plain,
product(e_2,e_1,e_3),
inference('REWRITE',[status(thm)],[169,217]) ).
cnf(228,plain,
~ product(e_3,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,222,e_2_is_not_e_3]) ).
cnf(231,plain,
product(e_3,e_1,e_2),
inference('REWRITE',[status(thm)],[168,228]) ).
cnf(260,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3_1,231,222]),156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP130-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n004.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 05:04:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-14T05:04:54
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T05:04:54
% 0.42/0.60
% 0.42/0.60
% 0.42/0.60 #||
% 0.42/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.60 % SZS output start Refutation
% See solution above
% 0.42/0.60 ||#
% 0.42/0.60
% 0.42/0.60 ; Summary of computation:
% 0.42/0.60 ; 671 formulas have been input or derived (from 44 formulas).
% 0.42/0.60 ; 260 (39%) were retained. Of these,
% 0.42/0.60 ; 212 (82%) were simplified or subsumed later,
% 0.42/0.60 ; 48 (18%) are still being kept.
% 0.42/0.60 ;
% 0.42/0.60 ; Run time in seconds excluding printing time:
% 0.42/0.60 ; 0.003 2% Read assertion file (1 call)
% 0.42/0.60 ; 0.001 1% Assert (18 calls)
% 0.42/0.60 ; 0.026 20% Process new row (542 calls)
% 0.42/0.60 ; 0.014 11% Resolution (86 calls)
% 0.42/0.60 ; 0.000 0% Paramodulation (43 calls)
% 0.42/0.60 ; 0.000 0% Factoring (21 calls)
% 0.42/0.60 ; 0.001 1% Condensing (401 calls)
% 0.42/0.60 ; 0.024 18% Forward subsumption (401 calls)
% 0.42/0.60 ; 0.014 11% Backward subsumption (227 calls)
% 0.42/0.60 ; 0.004 3% Clause clause subsumption (3,845 calls)
% 0.42/0.60 ; 0.011 8% Forward simplification (480 calls)
% 0.42/0.60 ; 0.009 7% Backward simplification (260 calls)
% 0.42/0.60 ; 0.002 2% Ordering (745 calls)
% 0.42/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.60 ; 0.000 0% Purity testing (1 call)
% 0.42/0.60 ; 0.021 16% Other
% 0.42/0.60 ; 0.130 Total
% 0.42/0.60 ; 0.133 Real time
% 0.42/0.60 ;
% 0.42/0.60 ; Term-hash-array has 61 terms in all.
% 0.42/0.60 ; Feature-vector-row-index has 15 entries (132 at peak, 227 added, 212 deleted).
% 0.42/0.60 ; Feature-vector-row-index has 30 nodes (222 at peak, 324 added, 294 deleted).
% 0.42/0.60 ; Retrieved 3,661 possibly forward subsuming rows in 401 calls.
% 0.42/0.60 ; Retrieved 1,657 possibly backward subsumed rows in 227 calls.
% 0.42/0.60 ; Path-index has 64 entries (64 at peak, 66 added, 2 deleted).
% 0.42/0.60 ; Path-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.42/0.60 ; Trie-index has 64 entries (64 at peak, 66 added, 2 deleted).
% 0.42/0.60 ; Trie-index has 82 nodes (82 at peak, 84 added, 2 deleted).
% 0.42/0.60 ; Retrieved 137 generalization terms in 466 calls.
% 0.42/0.60 ; Retrieved 32 instance terms in 32 calls.
% 0.42/0.60 ; Retrieved 4,981 unifiable terms in 672 calls.
% 0.42/0.60 ;
% 0.42/0.60 ; The agenda of rows to process has 7 entries:
% 0.42/0.60 ; 7 with value 8
% 0.42/0.60 ; The agenda of rows to give has 25 entries:
% 0.42/0.60 ; 8 with value (4 7) 6 with value (4 9) 1 with value (4 12)
% 0.42/0.60 ; 5 with value (4 8) 5 with value (4 11)
% 0.42/0.60 Evaluation took:
% 0.42/0.60 0.134 seconds of real time
% 0.42/0.60 0.111732 seconds of user run time
% 0.42/0.60 0.02187 seconds of system run time
% 0.42/0.60 0 calls to %EVAL
% 0.42/0.60 0 page faults and
% 0.42/0.60 8,873,968 bytes consed.
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T05:04:54
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 *
%------------------------------------------------------------------------------