TSTP Solution File: GRP124-2.004 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP124-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 0.34s 0.51s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of clauses : 32 ( 25 unt; 3 nHn; 31 RR)
% Number of literals : 49 ( 0 equ; 28 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(no_redundancy,axiom,
( ~ product(X,e_1,Y)
| ~ next(X,Z)
| ~ greater(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
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_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_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_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_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_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)
| 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(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(35,plain,
~ product(e_2,e_1,e_4),
inference('UR-RESOLVE',[status(thm)],[no_redundancy,e_2_then_e_3,e_4_greater_e_3]) ).
cnf(49,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(55,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(57,plain,
~ product(e_2,e_4,e_2),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_4_is_not_e_2]) ).
cnf(62,plain,
~ product(e_2,e_4,e_4),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_2_is_not_e_4]) ).
cnf(70,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(72,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(75,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]),49,72]) ).
cnf(79,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_4]),62,57]) ).
cnf(81,plain,
product(e_2,e_1,e_3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]),35,55,70]) ).
cnf(90,plain,
~ product(e_4,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,81,e_2_is_not_e_4]) ).
cnf(91,plain,
product(e_4,e_1,e_2),
inference('REWRITE',[status(thm)],[75,90]) ).
cnf(92,plain,
~ product(e_2,e_4,e_3),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,81,e_1_is_not_e_4]) ).
cnf(93,plain,
product(e_2,e_4,e_1),
inference('REWRITE',[status(thm)],[79,92]) ).
cnf(103,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[qg2_2,91,product_idempotence,product_idempotence,e_1_is_not_e_2]),93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 06:09:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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 2022-06-14T06:09:36
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T06:09:36
% 0.34/0.51
% 0.34/0.51
% 0.34/0.51 #||
% 0.34/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.51 % SZS output start Refutation
% See solution above
% 0.34/0.52 ||#
% 0.34/0.52
% 0.34/0.52 ; Summary of computation:
% 0.34/0.52 ; 265 formulas have been input or derived (from 79 formulas).
% 0.34/0.52 ; 103 (39%) were retained. Of these,
% 0.34/0.52 ; 7 ( 7%) were simplified or subsumed later,
% 0.34/0.52 ; 96 (93%) are still being kept.
% 0.34/0.52 ;
% 0.34/0.52 ; Run time in seconds excluding printing time:
% 0.34/0.52 ; 0.005 10% Read assertion file (1 call)
% 0.34/0.52 ; 0.001 2% Assert (33 calls)
% 0.34/0.52 ; 0.006 12% Process new row (215 calls)
% 0.34/0.52 ; 0.012 24% Resolution (156 calls)
% 0.34/0.52 ; 0.000 0% Paramodulation (78 calls)
% 0.34/0.52 ; 0.000 0% Condensing (18 calls)
% 0.34/0.52 ; 0.000 0% Forward subsumption (18 calls)
% 0.34/0.52 ; 0.001 2% Backward subsumption (18 calls)
% 0.34/0.52 ; 0.000 0% Clause clause subsumption (24 calls)
% 0.34/0.52 ; 0.003 6% Forward simplification (215 calls)
% 0.34/0.52 ; 0.001 2% Backward simplification (103 calls)
% 0.34/0.52 ; 0.000 0% Ordering (22 calls)
% 0.34/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.34/0.52 ; 0.000 0% Purity testing (1 call)
% 0.34/0.52 ; 0.020 40% Other
% 0.34/0.52 ; 0.050 Total
% 0.34/0.52 ; 0.053 Real time
% 0.34/0.52 ;
% 0.34/0.52 ; Term-hash-array has 112 terms in all.
% 0.34/0.52 ; Feature-vector-row-index has 11 entries (18 at peak, 18 added, 7 deleted).
% 0.34/0.52 ; Feature-vector-row-index has 36 nodes (43 at peak, 43 added, 7 deleted).
% 0.34/0.52 ; Retrieved 15 possibly forward subsuming rows in 18 calls.
% 0.34/0.52 ; Retrieved 9 possibly backward subsumed rows in 18 calls.
% 0.34/0.52 ; Path-index has 116 entries (116 at peak, 123 added, 7 deleted).
% 0.34/0.52 ; Path-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.34/0.52 ; Trie-index has 116 entries (116 at peak, 123 added, 7 deleted).
% 0.34/0.52 ; Trie-index has 148 nodes (148 at peak, 155 added, 7 deleted).
% 0.34/0.52 ; Retrieved 232 generalization terms in 268 calls.
% 0.34/0.52 ; Retrieved 109 instance terms in 84 calls.
% 0.34/0.52 ; Retrieved 5,538 unifiable terms in 1,234 calls.
% 0.34/0.52 ;
% 0.34/0.52 ; The agenda of rows to process has 20 entries:
% 0.34/0.52 ; 20 with value 7
% 0.34/0.52 ; The agenda of rows to give has 17 entries:
% 0.34/0.52 ; 6 with value (4 6) 7 with value (4 7) 4 with value (4 11)
% 0.34/0.52 Evaluation took:
% 0.34/0.52 0.054 seconds of real time
% 0.34/0.52 0.045256 seconds of user run time
% 0.34/0.52 0.008766 seconds of system run time
% 0.34/0.52 0 calls to %EVAL
% 0.34/0.52 0 page faults and
% 0.34/0.52 4,090,552 bytes consed.
% 0.34/0.52 :PROOF-FOUND
% 0.34/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T06:09:36
% 0.34/0.52 :PROOF-FOUND
% 0.34/0.52 *
%------------------------------------------------------------------------------