TSTP Solution File: GRP126-1.004 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP126-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 11:36:49 EDT 2022
% Result : Unsatisfiable 0.36s 0.60s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 53 ( 36 unt; 13 nHn; 52 RR)
% Number of literals : 78 ( 0 equ; 37 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 : 19 ( 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_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_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
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_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_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(product_idempotence,axiom,
product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
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(26,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(27,plain,
~ product(e_3,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_1_is_not_e_3]) ).
cnf(32,plain,
~ product(e_2,e_2,e_4),
inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_4_is_not_e_2]) ).
cnf(33,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(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(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(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(53,plain,
~ product(e_4,e_3,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_4_is_not_e_3]) ).
cnf(54,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(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(60,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_4,element_3]),38,53]) ).
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(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(71,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]),54,45]) ).
cnf(73,plain,
( product(e_3,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg4,63,60]),32]) ).
cnf(76,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg4,67,64]),26]) ).
cnf(78,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,68,67]),e_1_is_not_e_3]) ).
cnf(83,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,71,64]),e_1_is_not_e_3]) ).
cnf(92,plain,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,73,60]) ).
cnf(113,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg4,76,67]) ).
cnf(146,plain,
product(e_2,e_1,e_3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,92,78]),e_4_is_not_e_2]) ).
cnf(147,plain,
~ product(e_1,e_2,e_3),
inference('UR-RESOLVE',[status(thm)],[qg4,146,27]) ).
cnf(149,plain,
product(e_3,e_2,e_1),
inference('REWRITE',[status(thm)],[83,147]) ).
cnf(156,plain,
~ product(e_4,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,146,e_2_is_not_e_4]) ).
cnf(157,plain,
product(e_2,e_3,e_1),
inference('REWRITE',[status(thm)],[113,156]) ).
cnf(165,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[qg4,149,33]),157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP126-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.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 07:48:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T07:48:52
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-13T07:48:52
% 0.36/0.60
% 0.36/0.60
% 0.36/0.60 #||
% 0.36/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.60 % SZS output start Refutation
% See solution above
% 0.36/0.61 ||#
% 0.36/0.61
% 0.36/0.61 ; Summary of computation:
% 0.36/0.61 ; 1096 formulas have been input or derived (from 92 formulas).
% 0.36/0.61 ; 165 (15%) were retained. Of these,
% 0.36/0.61 ; 86 (52%) were simplified or subsumed later,
% 0.36/0.61 ; 79 (48%) are still being kept.
% 0.36/0.61 ;
% 0.36/0.61 ; Run time in seconds excluding printing time:
% 0.36/0.61 ; 0.003 2% Read assertion file (1 call)
% 0.36/0.61 ; 0.001 1% Assert (22 calls)
% 0.36/0.61 ; 0.014 11% Process new row (1,015 calls)
% 0.36/0.61 ; 0.029 23% Resolution (182 calls)
% 0.36/0.61 ; 0.000 0% Paramodulation (91 calls)
% 0.36/0.61 ; 0.000 0% Factoring (29 calls)
% 0.36/0.61 ; 0.001 1% Condensing (384 calls)
% 0.36/0.61 ; 0.024 19% Forward subsumption (384 calls)
% 0.36/0.61 ; 0.004 3% Backward subsumption (91 calls)
% 0.36/0.61 ; 0.005 4% Clause clause subsumption (2,946 calls)
% 0.36/0.61 ; 0.013 10% Forward simplification (968 calls)
% 0.36/0.61 ; 0.001 1% Backward simplification (165 calls)
% 0.36/0.61 ; 0.003 2% Ordering (1,330 calls)
% 0.36/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.61 ; 0.000 0% Purity testing (1 call)
% 0.36/0.61 ; 0.028 22% Other
% 0.36/0.61 ; 0.126 Total
% 0.36/0.61 ; 0.130 Real time
% 0.36/0.61 ;
% 0.36/0.61 ; Term-hash-array has 93 terms in all.
% 0.36/0.61 ; Feature-vector-row-index has 5 entries (76 at peak, 91 added, 86 deleted).
% 0.36/0.61 ; Feature-vector-row-index has 11 nodes (78 at peak, 78 added, 67 deleted).
% 0.36/0.61 ; Retrieved 4,226 possibly forward subsuming rows in 384 calls.
% 0.36/0.61 ; Retrieved 535 possibly backward subsumed rows in 91 calls.
% 0.36/0.61 ; Path-index has 92 entries (97 at peak, 99 added, 7 deleted).
% 0.36/0.61 ; Path-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.36/0.61 ; Trie-index has 92 entries (97 at peak, 99 added, 7 deleted).
% 0.36/0.61 ; Trie-index has 113 nodes (118 at peak, 120 added, 7 deleted).
% 0.36/0.61 ; Retrieved 2,218 generalization terms in 2,238 calls.
% 0.36/0.61 ; Retrieved 96 instance terms in 73 calls.
% 0.36/0.61 ; Retrieved 6,061 unifiable terms in 1,402 calls.
% 0.36/0.61 ;
% 0.36/0.61 ; The agenda of rows to process has 21 entries:
% 0.36/0.61 ; 21 with value 8
% 0.36/0.61 ; The agenda of rows to give has 16 entries:
% 0.36/0.61 ; 3 with value (4 7) 9 with value (4 8) 4 with value (4 10)
% 0.36/0.61 Evaluation took:
% 0.36/0.61 0.13 seconds of real time
% 0.36/0.61 0.106621 seconds of user run time
% 0.36/0.61 0.023101 seconds of system run time
% 0.36/0.61 0 calls to %EVAL
% 0.36/0.61 0 page faults and
% 0.36/0.61 9,201,088 bytes consed.
% 0.36/0.61 :PROOF-FOUND
% 0.36/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T07:48:53
% 0.36/0.61 :PROOF-FOUND
% 0.36/0.61 *
%------------------------------------------------------------------------------