TSTP Solution File: GRP128-4.003 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 11:36:54 EDT 2022
% Result : Unsatisfiable 0.41s 0.57s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 30 ( 13 unt; 12 nHn; 30 RR)
% Number of literals : 63 ( 0 equ; 20 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 : 24 ( 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/sandbox/benchmark/theBenchmark.p',row_surjectivity) ).
cnf(qg3_1,negated_conjecture,
( product(X,Y,Z)
| ~ product(X,Z,U)
| ~ product(Z,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3_1) ).
cnf(qg3_2,negated_conjecture,
( product(X,Y,Z)
| ~ product(U,X,Z)
| ~ product(U,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3_2) ).
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_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(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_total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
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(qg3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Z,Y,U)
| product(X,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(20,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[row_surjectivity,element_3,element_2]) ).
cnf(21,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[row_surjectivity,element_3,element_1]) ).
cnf(27,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[row_surjectivity,element_1,element_1]) ).
cnf(43,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(53,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3_1,21,21]) ).
cnf(88,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3_2,27,27]) ).
cnf(89,plain,
product(e_1,e_1,e_1),
inference('HYPERRESOLVE',[status(thm)],[qg3_2,88,88]) ).
cnf(99,plain,
~ product(e_1,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,89,e_1_is_not_e_2]) ).
cnf(106,plain,
~ product(e_1,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,89,e_1_is_not_e_3]) ).
cnf(107,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference('REWRITE',[status(thm)],[21,106]) ).
cnf(108,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference('REWRITE',[status(thm)],[43,106]) ).
cnf(110,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference('REWRITE',[status(thm)],[53,106]) ).
cnf(154,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,108,20]) ).
cnf(177,plain,
product(e_2,e_3,e_1),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,110,107]),e_3_is_not_e_1]) ).
cnf(186,plain,
~ product(e_2,e_3,e_2),
inference('UR-RESOLVE',[status(thm)],[product_total_function2,177,e_1_is_not_e_2]) ).
cnf(187,plain,
product(e_1,e_3,e_2),
inference('REWRITE',[status(thm)],[154,186]) ).
cnf(192,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[qg3,177,99]),187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.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 12:37:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T12:37:08
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-14T12:37:08
% 0.41/0.57
% 0.41/0.57
% 0.41/0.57 #||
% 0.41/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.57 % SZS output start Refutation
% See solution above
% 0.41/0.57 ||#
% 0.41/0.57
% 0.41/0.57 ; Summary of computation:
% 0.41/0.57 ; 693 formulas have been input or derived (from 57 formulas).
% 0.41/0.57 ; 192 (28%) were retained. Of these,
% 0.41/0.57 ; 140 (73%) were simplified or subsumed later,
% 0.41/0.57 ; 52 (27%) are still being kept.
% 0.41/0.57 ;
% 0.41/0.57 ; Run time in seconds excluding printing time:
% 0.41/0.57 ; 0.004 4% Read assertion file (1 call)
% 0.41/0.57 ; 0.000 0% Assert (18 calls)
% 0.41/0.57 ; 0.015 14% Process new row (537 calls)
% 0.41/0.57 ; 0.025 23% Resolution (112 calls)
% 0.41/0.57 ; 0.001 1% Paramodulation (56 calls)
% 0.41/0.57 ; 0.000 0% Factoring (27 calls)
% 0.41/0.57 ; 0.001 1% Condensing (324 calls)
% 0.41/0.57 ; 0.026 24% Forward subsumption (324 calls)
% 0.41/0.57 ; 0.003 3% Backward subsumption (161 calls)
% 0.41/0.57 ; 0.004 4% Clause clause subsumption (2,634 calls)
% 0.41/0.57 ; 0.003 3% Forward simplification (448 calls)
% 0.41/0.57 ; 0.003 3% Backward simplification (192 calls)
% 0.41/0.57 ; 0.001 1% Ordering (497 calls)
% 0.41/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.57 ; 0.000 0% Purity testing (1 call)
% 0.41/0.57 ; 0.021 20% Other
% 0.41/0.57 ; 0.107 Total
% 0.41/0.57 ; 0.110 Real time
% 0.41/0.57 ;
% 0.41/0.57 ; Term-hash-array has 61 terms in all.
% 0.41/0.57 ; Feature-vector-row-index has 21 entries (73 at peak, 161 added, 140 deleted).
% 0.41/0.57 ; Feature-vector-row-index has 33 nodes (161 at peak, 260 added, 227 deleted).
% 0.41/0.57 ; Retrieved 3,213 possibly forward subsuming rows in 324 calls.
% 0.41/0.57 ; Retrieved 942 possibly backward subsumed rows in 161 calls.
% 0.41/0.57 ; Path-index has 62 entries (64 at peak, 64 added, 2 deleted).
% 0.41/0.57 ; Path-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.41/0.57 ; Trie-index has 62 entries (64 at peak, 64 added, 2 deleted).
% 0.41/0.57 ; Trie-index has 80 nodes (82 at peak, 82 added, 2 deleted).
% 0.41/0.57 ; Retrieved 184 generalization terms in 867 calls.
% 0.41/0.57 ; Retrieved 30 instance terms in 30 calls.
% 0.41/0.57 ; Retrieved 6,703 unifiable terms in 945 calls.
% 0.41/0.57 ;
% 0.41/0.57 ; The agenda of rows to process has 13 entries:
% 0.41/0.57 ; 2 with value 10 2 with value 13 9 with value 14
% 0.41/0.57 ; The agenda of rows to give has 19 entries:
% 0.41/0.57 ; 1 with value (4 6) 4 with value (4 9) 7 with value (4 12)
% 0.41/0.57 ; 5 with value (4 7) 1 with value (4 11) 1 with value (4 16)
% 0.41/0.57 Evaluation took:
% 0.41/0.57 0.11 seconds of real time
% 0.41/0.57 0.098474 seconds of user run time
% 0.41/0.57 0.011057 seconds of system run time
% 0.41/0.57 0 calls to %EVAL
% 0.41/0.57 0 page faults and
% 0.41/0.57 7,432,560 bytes consed.
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T12:37:08
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 *
%------------------------------------------------------------------------------