TSTP Solution File: GRP124-4.004 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP124-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 11:36:44 EDT 2022
% Result : Unsatisfiable 0.90s 1.14s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of clauses : 41 ( 27 unt; 10 nHn; 40 RR)
% Number of literals : 73 ( 0 equ; 35 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 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)
| product(e_4,X,Y) ),
file('/export/starexec/sandbox/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)
| product(X,e_4,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',column_surjectivity) ).
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(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
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_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
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_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_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)
| product(X,Y,e_4) ),
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(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(product_idempotence,axiom,
product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
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/sandbox/benchmark/theBenchmark.p',qg2_2) ).
cnf(29,plain,
~ product(e_4,e_4,e_3),
inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_3_is_not_e_4]) ).
cnf(31,plain,
~ product(e_3,e_3,e_2),
inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_2_is_not_e_3]) ).
cnf(34,plain,
~ product(e_2,e_2,e_3),
inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_3_is_not_e_2]) ).
cnf(36,plain,
~ product(e_1,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_2_is_not_e_1]) ).
cnf(44,plain,
~ product(e_3,e_4,e_3),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_4_is_not_e_3]) ).
cnf(46,plain,
~ product(e_2,e_3,e_2),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_3_is_not_e_2]) ).
cnf(50,plain,
~ product(e_1,e_4,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_4_is_not_e_1]) ).
cnf(51,plain,
~ product(e_1,e_4,e_4),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_1_is_not_e_4]) ).
cnf(55,plain,
~ product(e_2,e_3,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_2_is_not_e_3]) ).
cnf(57,plain,
~ product(e_1,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_1_is_not_e_2]) ).
cnf(63,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[row_surjectivity,element_4,element_3]),29,44]) ).
cnf(67,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[row_surjectivity,element_3,element_2]),31,46]) ).
cnf(82,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[column_surjectivity,element_2,element_3]),55,34]) ).
cnf(86,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[column_surjectivity,element_1,element_2]),57,36]) ).
cnf(96,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_4]),51,50]) ).
cnf(101,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2_2,67,product_idempotence,63,product_idempotence]),e_3_is_not_e_2]) ).
cnf(186,plain,
( product(e_1,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,96,82]),e_1_is_not_e_2]) ).
cnf(192,plain,
product(e_1,e_3,e_2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,101,86]),e_3_is_not_e_2]) ).
cnf(193,plain,
~ product(e_2,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[qg2_2,192,product_idempotence,product_idempotence,e_3_is_not_e_2]) ).
cnf(208,plain,
product(e_1,e_4,e_2),
inference('REWRITE',[status(thm)],[186,193]) ).
cnf(210,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,192,e_3_is_not_e_4]),208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP124-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 07:37:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:37:38
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-14T07:37:38
% 0.90/1.14
% 0.90/1.14
% 0.90/1.14 #||
% 0.90/1.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.14 % SZS output start Refutation
% See solution above
% 0.90/1.15 ||#
% 0.90/1.15
% 0.90/1.15 ; Summary of computation:
% 0.90/1.15 ; 8148 formulas have been input or derived (from 103 formulas).
% 0.90/1.15 ; 210 ( 3%) were retained. Of these,
% 0.90/1.15 ; 128 (61%) were simplified or subsumed later,
% 0.90/1.15 ; 82 (39%) are still being kept.
% 0.90/1.15 ;
% 0.90/1.15 ; Run time in seconds excluding printing time:
% 0.90/1.15 ; 0.005 1% Read assertion file (1 call)
% 0.90/1.15 ; 0.000 0% Assert (25 calls)
% 0.90/1.15 ; 0.031 5% Process new row (7,708 calls)
% 0.90/1.15 ; 0.156 23% Resolution (204 calls)
% 0.90/1.15 ; 0.003 0% Paramodulation (102 calls)
% 0.90/1.15 ; 0.000 0% Factoring (39 calls)
% 0.90/1.15 ; 0.003 0% Condensing (3,822 calls)
% 0.90/1.15 ; 0.210 31% Forward subsumption (3,822 calls)
% 0.90/1.15 ; 0.002 0% Backward subsumption (137 calls)
% 0.90/1.15 ; 0.077 11% Clause clause subsumption (59,574 calls)
% 0.90/1.15 ; 0.144 21% Forward simplification (7,106 calls)
% 0.90/1.15 ; 0.003 0% Backward simplification (210 calls)
% 0.90/1.15 ; 0.001 0% Ordering (1,072 calls)
% 0.90/1.15 ; 0.000 0% Sortal reasoning (32 calls)
% 0.90/1.15 ; 0.000 0% Purity testing (1 call)
% 0.90/1.15 ; 0.050 7% Other
% 0.90/1.15 ; 0.685 Total
% 0.90/1.15 ; 0.688 Real time
% 0.90/1.15 ;
% 0.90/1.15 ; Term-hash-array has 103 terms in all.
% 0.90/1.15 ; Feature-vector-row-index has 9 entries (136 at peak, 137 added, 128 deleted).
% 0.90/1.15 ; Feature-vector-row-index has 18 nodes (59 at peak, 59 added, 41 deleted).
% 0.90/1.15 ; Retrieved 284,566 possibly forward subsuming rows in 3,822 calls.
% 0.90/1.15 ; Retrieved 1,330 possibly backward subsumed rows in 137 calls.
% 0.90/1.15 ; Path-index has 103 entries (107 at peak, 108 added, 5 deleted).
% 0.90/1.15 ; Path-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.90/1.15 ; Trie-index has 103 entries (107 at peak, 108 added, 5 deleted).
% 0.90/1.15 ; Trie-index has 130 nodes (134 at peak, 135 added, 5 deleted).
% 0.90/1.15 ; Retrieved 29,867 generalization terms in 29,889 calls.
% 0.90/1.15 ; Retrieved 104 instance terms in 72 calls.
% 0.90/1.15 ; Retrieved 64,556 unifiable terms in 10,756 calls.
% 0.90/1.15 ;
% 0.90/1.15 ; The agenda of rows to process has 72 entries:
% 0.90/1.15 ; 14 with value 9 30 with value 13 28 with value 18
% 0.90/1.15 ; The agenda of rows to give has 17 entries:
% 0.90/1.15 ; 3 with value (4 6) 12 with value (4 7) 2 with value (4 9)
% 0.90/1.15 Evaluation took:
% 0.90/1.15 0.688 seconds of real time
% 0.90/1.15 0.575904 seconds of user run time
% 0.90/1.15 0.112153 seconds of system run time
% 0.90/1.15 [Run times include 0.012 seconds GC run time.]
% 0.90/1.15 0 calls to %EVAL
% 0.90/1.15 0 page faults and
% 0.90/1.15 65,893,784 bytes consed.
% 0.90/1.15 :PROOF-FOUND
% 0.90/1.15 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:37:39
% 0.90/1.15 :PROOF-FOUND
% 0.90/1.15 *
%------------------------------------------------------------------------------