TSTP Solution File: GRP127-1.004 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 11:36:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of clauses : 49 ( 35 unt; 11 nHn; 48 RR)
% Number of literals : 70 ( 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 : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
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_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
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_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(qg3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Z,X,U)
| product(U,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(36,plain,
~ product(e_4,e_1,e_4),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_1_is_not_e_4]) ).
cnf(38,plain,
~ product(e_4,e_3,e_4),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_3_is_not_e_4]) ).
cnf(39,plain,
~ product(e_3,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_1_is_not_e_3]) ).
cnf(40,plain,
~ product(e_3,e_2,e_3),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_3]) ).
cnf(41,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(42,plain,
~ product(e_2,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_1_is_not_e_2]) ).
cnf(43,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(45,plain,
~ product(e_1,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_1]) ).
cnf(46,plain,
~ product(e_1,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_3_is_not_e_1]) ).
cnf(47,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(50,plain,
~ product(e_3,e_4,e_4),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_3_is_not_e_4]) ).
cnf(52,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(55,plain,
~ product(e_3,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_3_is_not_e_2]) ).
cnf(57,plain,
~ product(e_2,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_2_is_not_e_1]) ).
cnf(58,plain,
~ product(e_3,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_3_is_not_e_1]) ).
cnf(59,plain,
~ product(e_4,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_4_is_not_e_1]) ).
cnf(62,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_4,element_1]),36,59]) ).
cnf(63,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_4]),50,41]) ).
cnf(64,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_2]),40,55]) ).
cnf(65,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_1]),39,58]) ).
cnf(67,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_3]),52,43]) ).
cnf(68,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]),42,57]) ).
cnf(76,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,65,64]),e_1_is_not_e_2]) ).
cnf(81,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,67,63]),38]) ).
cnf(82,plain,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,68,65]),e_2_is_not_e_3]) ).
cnf(116,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,81,62]),47]) ).
cnf(117,plain,
product(e_3,e_1,e_2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,82,76]),45]) ).
cnf(118,plain,
~ product(e_2,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[qg3,117,46]) ).
cnf(128,plain,
product(e_4,e_1,e_2),
inference('REWRITE',[status(thm)],[116,118]) ).
cnf(129,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,117,e_3_is_not_e_4]),128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 : Mon Jun 13 04:16:22 EDT 2022
% 0.12/0.33 % 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 2022-06-13T04:16:22
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-13T04:16:22
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.38/0.54 ||#
% 0.38/0.54
% 0.38/0.54 ; Summary of computation:
% 0.38/0.54 ; 482 formulas have been input or derived (from 82 formulas).
% 0.38/0.54 ; 129 (27%) were retained. Of these,
% 0.38/0.54 ; 55 (43%) were simplified or subsumed later,
% 0.38/0.54 ; 74 (57%) are still being kept.
% 0.38/0.54 ;
% 0.38/0.54 ; Run time in seconds excluding printing time:
% 0.38/0.54 ; 0.003 4% Read assertion file (1 call)
% 0.38/0.54 ; 0.000 0% Assert (22 calls)
% 0.38/0.54 ; 0.011 15% Process new row (425 calls)
% 0.38/0.54 ; 0.013 18% Resolution (162 calls)
% 0.38/0.54 ; 0.002 3% Paramodulation (81 calls)
% 0.38/0.54 ; 0.000 0% Factoring (21 calls)
% 0.38/0.54 ; 0.000 0% Condensing (120 calls)
% 0.38/0.54 ; 0.003 4% Forward subsumption (120 calls)
% 0.38/0.54 ; 0.000 0% Backward subsumption (63 calls)
% 0.38/0.54 ; 0.002 3% Clause clause subsumption (964 calls)
% 0.38/0.54 ; 0.009 12% Forward simplification (404 calls)
% 0.38/0.54 ; 0.004 5% Backward simplification (129 calls)
% 0.38/0.54 ; 0.002 3% Ordering (274 calls)
% 0.38/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.54 ; 0.000 0% Purity testing (1 call)
% 0.38/0.54 ; 0.024 33% Other
% 0.38/0.54 ; 0.073 Total
% 0.38/0.54 ; 0.079 Real time
% 0.38/0.54 ;
% 0.38/0.54 ; Term-hash-array has 93 terms in all.
% 0.38/0.54 ; Feature-vector-row-index has 8 entries (55 at peak, 63 added, 55 deleted).
% 0.38/0.54 ; Feature-vector-row-index has 30 nodes (74 at peak, 83 added, 53 deleted).
% 0.38/0.54 ; Retrieved 937 possibly forward subsuming rows in 120 calls.
% 0.38/0.54 ; Retrieved 316 possibly backward subsumed rows in 63 calls.
% 0.38/0.54 ; Path-index has 89 entries (97 at peak, 99 added, 10 deleted).
% 0.38/0.54 ; Path-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.38/0.54 ; Trie-index has 89 entries (97 at peak, 99 added, 10 deleted).
% 0.38/0.54 ; Trie-index has 110 nodes (118 at peak, 120 added, 10 deleted).
% 0.38/0.54 ; Retrieved 791 generalization terms in 811 calls.
% 0.38/0.54 ; Retrieved 88 instance terms in 65 calls.
% 0.38/0.54 ; Retrieved 4,619 unifiable terms in 1,117 calls.
% 0.38/0.54 ;
% 0.38/0.54 ; The agenda of rows to process has 23 entries:
% 0.38/0.54 ; 17 with value 9 4 with value 13 2 with value 14
% 0.38/0.54 ; The agenda of rows to give has 11 entries:
% 0.38/0.54 ; 1 with value (4 6) 4 with value (4 8) 1 with value (4 13)
% 0.38/0.54 ; 4 with value (4 7) 1 with value (4 9)
% 0.38/0.54 Evaluation took:
% 0.38/0.54 0.079 seconds of real time
% 0.38/0.54 0.069779 seconds of user run time
% 0.38/0.54 0.008966 seconds of system run time
% 0.38/0.54 0 calls to %EVAL
% 0.38/0.54 0 page faults and
% 0.38/0.54 6,371,120 bytes consed.
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T04:16:23
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 *
%------------------------------------------------------------------------------