TSTP Solution File: GRP124-3.004 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP124-3.004 : 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 11:36:43 EDT 2022
% Result : Unsatisfiable 0.38s 0.60s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of clauses : 46 ( 32 unt; 11 nHn; 45 RR)
% Number of literals : 69 ( 0 equ; 34 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 : 17 ( 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(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
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_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/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/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(product_idempotence,axiom,
product(X,X,X),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',qg2_2) ).
cnf(59,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(62,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(63,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(64,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(65,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(66,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(73,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(75,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(78,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(80,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(81,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(82,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(100,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]),59,82]) ).
cnf(101,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]),73,64]) ).
cnf(102,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]),63,78]) ).
cnf(103,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]),62,81]) ).
cnf(105,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]),75,66]) ).
cnf(106,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]),65,80]) ).
cnf(118,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,103,102]),e_1_is_not_e_2]) ).
cnf(122,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2_2,105,101,product_idempotence,product_idempotence]),e_4_is_not_e_2]) ).
cnf(123,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,106,103]),e_2_is_not_e_3]) ).
cnf(148,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2_2,122,100,product_idempotence,product_idempotence]),e_1_is_not_e_3]) ).
cnf(149,plain,
product(e_3,e_1,e_2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg2_2,123,product_idempotence,118,product_idempotence]),e_1_is_not_e_3]) ).
cnf(152,plain,
~ product(e_2,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[qg2_2,149,product_idempotence,product_idempotence,e_1_is_not_e_2]) ).
cnf(160,plain,
product(e_4,e_1,e_2),
inference('REWRITE',[status(thm)],[148,152]) ).
cnf(161,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,149,e_3_is_not_e_4]),160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP124-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 09:58:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-13T09:58:02
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T09:58:02
% 0.38/0.60
% 0.38/0.60
% 0.38/0.60 #||
% 0.38/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.60 % SZS output start Refutation
% See solution above
% 0.38/0.61 ||#
% 0.38/0.61
% 0.38/0.61 ; Summary of computation:
% 0.38/0.61 ; 1105 formulas have been input or derived (from 118 formulas).
% 0.38/0.61 ; 161 (15%) were retained. Of these,
% 0.38/0.61 ; 50 (31%) were simplified or subsumed later,
% 0.38/0.61 ; 111 (69%) are still being kept.
% 0.38/0.61 ;
% 0.38/0.61 ; Run time in seconds excluding printing time:
% 0.38/0.61 ; 0.007 5% Read assertion file (1 call)
% 0.38/0.61 ; 0.001 1% Assert (44 calls)
% 0.38/0.61 ; 0.023 16% Process new row (976 calls)
% 0.38/0.61 ; 0.047 34% Resolution (234 calls)
% 0.38/0.61 ; 0.000 0% Paramodulation (117 calls)
% 0.38/0.61 ; 0.000 0% Factoring (22 calls)
% 0.38/0.61 ; 0.001 1% Condensing (365 calls)
% 0.38/0.61 ; 0.016 11% Forward subsumption (365 calls)
% 0.38/0.61 ; 0.001 1% Backward subsumption (65 calls)
% 0.38/0.61 ; 0.001 1% Clause clause subsumption (1,914 calls)
% 0.38/0.61 ; 0.012 9% Forward simplification (881 calls)
% 0.38/0.61 ; 0.000 0% Backward simplification (161 calls)
% 0.38/0.61 ; 0.002 1% Ordering (665 calls)
% 0.38/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.61 ; 0.000 0% Purity testing (1 call)
% 0.38/0.61 ; 0.029 21% Other
% 0.38/0.61 ; 0.140 Total
% 0.38/0.61 ; 0.144 Real time
% 0.38/0.61 ;
% 0.38/0.61 ; Term-hash-array has 150 terms in all.
% 0.38/0.61 ; Feature-vector-row-index has 16 entries (60 at peak, 65 added, 49 deleted).
% 0.38/0.61 ; Feature-vector-row-index has 61 nodes (101 at peak, 127 added, 66 deleted).
% 0.38/0.61 ; Retrieved 6,368 possibly forward subsuming rows in 365 calls.
% 0.38/0.61 ; Retrieved 212 possibly backward subsumed rows in 65 calls.
% 0.38/0.61 ; Path-index has 146 entries (154 at peak, 167 added, 21 deleted).
% 0.38/0.61 ; Path-index has 86 nodes (86 at peak, 88 added, 2 deleted).
% 0.38/0.61 ; Trie-index has 146 entries (154 at peak, 167 added, 21 deleted).
% 0.38/0.61 ; Trie-index has 175 nodes (183 at peak, 197 added, 22 deleted).
% 0.38/0.61 ; Retrieved 2,531 generalization terms in 2,625 calls.
% 0.38/0.61 ; Retrieved 123 instance terms in 95 calls.
% 0.38/0.61 ; Retrieved 16,057 unifiable terms in 4,042 calls.
% 0.38/0.61 ;
% 0.38/0.61 ; The agenda of rows to process has 38 entries:
% 0.38/0.61 ; 17 with value 9 16 with value 13 4 with value 18
% 0.38/0.61 ; 1 with value 12
% 0.38/0.61 ; The agenda of rows to give has 12 entries:
% 0.38/0.61 ; 1 with value (4 5) 4 with value (4 7) 1 with value (4 9)
% 0.38/0.61 ; 1 with value (4 6) 4 with value (4 8) 1 with value (4 17)
% 0.38/0.61 Evaluation took:
% 0.38/0.61 0.144 seconds of real time
% 0.38/0.61 0.120742 seconds of user run time
% 0.38/0.61 0.022823 seconds of system run time
% 0.38/0.61 0 calls to %EVAL
% 0.38/0.61 0 page faults and
% 0.38/0.61 10,135,200 bytes consed.
% 0.38/0.61 :PROOF-FOUND
% 0.38/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T09:58:02
% 0.38/0.61 :PROOF-FOUND
% 0.38/0.61 *
%------------------------------------------------------------------------------