TSTP Solution File: GRP134-1.003 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 11:37:03 EDT 2022
% Result : Unsatisfiable 0.51s 0.70s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 58 ( 12 unt; 42 nHn; 58 RR)
% Number of literals : 165 ( 0 equ; 16 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 : 18 ( 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(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(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_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)
| 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_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(qg4,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Y,X,U)
| product(Z,U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).
cnf(15,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_3]) ).
cnf(16,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_2]) ).
cnf(17,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(18,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_3]) ).
cnf(20,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]) ).
cnf(21,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(22,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]) ).
cnf(23,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_1]) ).
cnf(27,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,16,15]),e_2_is_not_e_3]) ).
cnf(30,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,17,15]),e_1_is_not_e_3]) ).
cnf(31,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,17,16]),e_1_is_not_e_2]) ).
cnf(34,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,18,15]),e_2_is_not_e_3]) ).
cnf(50,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,21,15]),e_1_is_not_e_3]) ).
cnf(51,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,21,18]),e_1_is_not_e_2]) ).
cnf(64,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,23,23]) ).
cnf(65,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,23,17]),e_1_is_not_e_3]) ).
cnf(66,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,23,20]),e_1_is_not_e_2]) ).
cnf(68,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,23,22]),e_1_is_not_e_2]) ).
cnf(76,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_2,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,27,27]) ).
cnf(78,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,31,30]),e_2_is_not_e_3]) ).
cnf(81,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_2,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,34,34]) ).
cnf(100,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,51,50]),e_2_is_not_e_3]) ).
cnf(117,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,66,65]),e_2_is_not_e_3]) ).
cnf(124,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,76,76]) ).
cnf(126,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,78,78]) ).
cnf(127,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,81,81]) ).
cnf(129,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,100,100]) ).
cnf(130,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,117,64]),e_1_is_not_e_3]) ).
cnf(132,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,130,68]) ).
cnf(135,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,132,130]) ).
cnf(136,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,135,135]) ).
cnf(138,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,124,16]),e_2_is_not_e_3]) ).
cnf(152,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,126,138]),e_1_is_not_e_2]) ).
cnf(153,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,152,136]),e_3_is_not_e_2]) ).
cnf(157,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,153,135]),e_3_is_not_e_2]) ).
cnf(161,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,127,18]),e_2_is_not_e_3]) ).
cnf(177,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,129,161]),e_1_is_not_e_2]) ).
cnf(178,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,177,152]) ).
cnf(180,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,177,136]),e_3_is_not_e_2]) ).
cnf(191,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,180,157]) ).
cnf(192,plain,
product(e_1,e_1,e_1),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,191,135]),e_3_is_not_e_2]) ).
cnf(208,plain,
~ product(e_3,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,192,e_1_is_not_e_3]) ).
cnf(219,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_1,e_3) ),
inference('REWRITE',[status(thm)],[178,208]) ).
cnf(239,plain,
~ product(e_1,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,192,e_1_is_not_e_3]) ).
cnf(240,plain,
product(e_1,e_1,e_3),
inference('REWRITE',[status(thm)],[219,239]) ).
cnf(247,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_total_function2,192,e_1_is_not_e_3]),240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 : Mon Jun 13 06:50:47 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 2022-06-13T06:50:47
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T06:50:47
% 0.51/0.70
% 0.51/0.70
% 0.51/0.70 #||
% 0.51/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.70 % SZS output start Refutation
% See solution above
% 0.51/0.71 ||#
% 0.51/0.71
% 0.51/0.71 ; Summary of computation:
% 0.51/0.71 ; 2310 formulas have been input or derived (from 89 formulas).
% 0.51/0.71 ; 247 (11%) were retained. Of these,
% 0.51/0.71 ; 212 (86%) were simplified or subsumed later,
% 0.51/0.71 ; 35 (14%) are still being kept.
% 0.51/0.71 ;
% 0.51/0.71 ; Run time in seconds excluding printing time:
% 0.51/0.71 ; 0.002 1% Read assertion file (1 call)
% 0.51/0.71 ; 0.001 0% Assert (14 calls)
% 0.51/0.71 ; 0.018 8% Process new row (2,012 calls)
% 0.51/0.71 ; 0.045 20% Resolution (176 calls)
% 0.51/0.71 ; 0.002 1% Paramodulation (88 calls)
% 0.51/0.71 ; 0.002 1% Factoring (70 calls)
% 0.51/0.71 ; 0.004 2% Condensing (937 calls)
% 0.51/0.71 ; 0.054 24% Forward subsumption (937 calls)
% 0.51/0.71 ; 0.015 7% Backward subsumption (222 calls)
% 0.51/0.71 ; 0.019 8% Clause clause subsumption (7,827 calls)
% 0.51/0.71 ; 0.030 13% Forward simplification (1,431 calls)
% 0.51/0.71 ; 0.002 1% Backward simplification (247 calls)
% 0.51/0.71 ; 0.004 2% Ordering (1,935 calls)
% 0.51/0.71 ; 0.000 0% Sortal reasoning (32 calls)
% 0.51/0.71 ; 0.000 0% Purity testing (1 call)
% 0.51/0.71 ; 0.026 12% Other
% 0.51/0.71 ; 0.224 Total
% 0.51/0.71 ; 0.229 Real time
% 0.51/0.71 ;
% 0.51/0.71 ; Term-hash-array has 53 terms in all.
% 0.51/0.71 ; Feature-vector-row-index has 10 entries (87 at peak, 222 added, 212 deleted).
% 0.51/0.71 ; Feature-vector-row-index has 34 nodes (269 at peak, 535 added, 501 deleted).
% 0.51/0.71 ; Retrieved 12,910 possibly forward subsuming rows in 937 calls.
% 0.51/0.71 ; Retrieved 2,139 possibly backward subsumed rows in 222 calls.
% 0.51/0.71 ; Path-index has 51 entries (56 at peak, 64 added, 13 deleted).
% 0.51/0.71 ; Path-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.51/0.71 ; Trie-index has 51 entries (56 at peak, 64 added, 13 deleted).
% 0.51/0.71 ; Trie-index has 65 nodes (70 at peak, 78 added, 13 deleted).
% 0.51/0.71 ; Retrieved 986 generalization terms in 1,180 calls.
% 0.51/0.71 ; Retrieved 24 instance terms in 24 calls.
% 0.51/0.71 ; Retrieved 5,355 unifiable terms in 1,153 calls.
% 0.51/0.71 ;
% 0.51/0.71 ; The agenda of rows to process has 19 entries:
% 0.51/0.71 ; 7 with value 17 4 with value 22 6 with value 26
% 0.51/0.71 ; 2 with value 21
% 0.51/0.71 ; The agenda of rows to give has 13 entries:
% 0.51/0.71 ; 1 with value (4 12) 5 with value (4 17) 2 with value (4 27)
% 0.51/0.71 ; 5 with value (4 13)
% 0.51/0.71 Evaluation took:
% 0.51/0.71 0.229 seconds of real time
% 0.51/0.71 0.198923 seconds of user run time
% 0.51/0.71 0.030727 seconds of system run time
% 0.51/0.71 [Run times include 0.004 seconds GC run time.]
% 0.51/0.71 0 calls to %EVAL
% 0.51/0.71 0 page faults and
% 0.51/0.71 21,748,264 bytes consed.
% 0.51/0.71 :PROOF-FOUND
% 0.51/0.71 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T06:50:47
% 0.51/0.71 :PROOF-FOUND
% 0.51/0.71 *
%------------------------------------------------------------------------------