%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 0.20s 0.52s
% Output : Refutation 0.20s
% 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(13,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(14,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(16,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(20,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,14,13]) ).
cnf(26,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,16,14]) ).
cnf(30,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,20,14]) ).
cnf(32,plain,
product(e_1,e_1,e_1),
inference('HYPERRESOLVE',[status(thm)],[qg3,26,16]) ).
cnf(34,plain,
~ product(e_2,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,32,e_1_is_not_e_2]) ).
cnf(37,plain,
product(e_1,e_2,e_1),
inference('REWRITE',[status(thm)],[30,34]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,32,e_1_is_not_e_2]),37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 : Tue Jun 14 12:28:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-14T12:28:51
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-14T12:28:51
% 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 ; 144 formulas have been input or derived (from 25 formulas).
% 0.20/0.52 ; 38 (26%) were retained. Of these,
% 0.20/0.52 ; 17 (45%) were simplified or subsumed later,
% 0.20/0.52 ; 21 (55%) 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 6% Read assertion file (1 call)
% 0.20/0.52 ; 0.000 0% Assert (12 calls)
% 0.20/0.52 ; 0.005 14% Process new row (94 calls)
% 0.20/0.52 ; 0.005 14% Resolution (48 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (24 calls)
% 0.20/0.52 ; 0.000 0% Factoring (9 calls)
% 0.20/0.52 ; 0.000 0% Condensing (44 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (44 calls)
% 0.20/0.52 ; 0.001 3% Backward subsumption (23 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (59 calls)
% 0.20/0.52 ; 0.000 0% Forward simplification (72 calls)
% 0.20/0.52 ; 0.001 3% Backward simplification (38 calls)
% 0.20/0.52 ; 0.000 0% Ordering (26 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.022 61% Other
% 0.20/0.52 ; 0.036 Total
% 0.20/0.52 ; 0.038 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 33 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 13 nodes (43 at peak, 51 added, 38 deleted).
% 0.20/0.52 ; Retrieved 80 possibly forward subsuming rows in 44 calls.
% 0.20/0.52 ; Retrieved 14 possibly backward subsumed rows in 23 calls.
% 0.20/0.52 ; Path-index has 32 entries (34 at peak, 36 added, 4 deleted).
% 0.20/0.52 ; Path-index has 45 nodes (45 at peak, 45 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 32 entries (34 at peak, 36 added, 4 deleted).
% 0.20/0.52 ; Trie-index has 47 nodes (49 at peak, 51 added, 4 deleted).
% 0.20/0.52 ; Retrieved 26 generalization terms in 54 calls.
% 0.20/0.52 ; Retrieved 14 instance terms in 14 calls.
% 0.20/0.52 ; Retrieved 745 unifiable terms in 239 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 4 entries:
% 0.20/0.52 ; 4 with value 9
% 0.20/0.52 ; The agenda of rows to give has 5 entries:
% 0.20/0.52 ; 1 with value (4 6) 2 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 0.038 seconds of real time
% 0.20/0.52 0.035587 seconds of user run time
% 0.20/0.52 0.003099 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 2,717,720 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T12:28:51
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------