%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP126-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 35 ( 27 unt; 3 nHn; 34 RR)
% Number of literals : 52 ( 0 equ; 29 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 : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
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_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_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
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(34,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(41,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(48,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(54,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_1,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_1]) ).
cnf(66,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(69,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(71,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(74,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]),48,71]) ).
cnf(80,plain,
product(e_2,e_1,e_3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]),34,54,69]) ).
cnf(83,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]),66,57]) ).
cnf(87,plain,
~ product(e_1,e_2,e_3),
inference('UR-RESOLVE',[status(thm)],[qg4,80,41]) ).
cnf(88,plain,
product(e_1,e_2,e_4),
inference('REWRITE',[status(thm)],[83,87]) ).
cnf(89,plain,
~ product(e_4,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,80,e_2_is_not_e_4]) ).
cnf(90,plain,
product(e_4,e_1,e_2),
inference('REWRITE',[status(thm)],[74,89]) ).
cnf(93,plain,
product(e_4,e_3,e_2),
inference('HYPERRESOLVE',[status(thm)],[qg4,88,80]) ).
cnf(104,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,90,e_1_is_not_e_3]),93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP126-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.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 23:17:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T23:17:12
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-13T23:17:12
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 290 formulas have been input or derived (from 78 formulas).
% 0.20/0.51 ; 104 (36%) were retained. Of these,
% 0.20/0.51 ; 9 ( 9%) were simplified or subsumed later,
% 0.20/0.51 ; 95 (91%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.004 8% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (32 calls)
% 0.20/0.51 ; 0.006 12% Process new row (261 calls)
% 0.20/0.51 ; 0.008 17% Resolution (154 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (77 calls)
% 0.20/0.51 ; 0.000 0% Condensing (17 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (17 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (17 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.20/0.51 ; 0.004 8% Forward simplification (261 calls)
% 0.20/0.51 ; 0.001 2% Backward simplification (104 calls)
% 0.20/0.51 ; 0.000 0% Ordering (14 calls)
% 0.20/0.51 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.024 50% Other
% 0.20/0.51 ; 0.048 Total
% 0.20/0.51 ; 0.051 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 110 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 8 entries (17 at peak, 17 added, 9 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 26 nodes (44 at peak, 44 added, 18 deleted).
% 0.20/0.51 ; Retrieved 8 possibly forward subsuming rows in 17 calls.
% 0.20/0.51 ; Retrieved 8 possibly backward subsumed rows in 17 calls.
% 0.20/0.51 ; Path-index has 112 entries (113 at peak, 121 added, 9 deleted).
% 0.20/0.51 ; Path-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 112 entries (113 at peak, 121 added, 9 deleted).
% 0.20/0.51 ; Trie-index has 146 nodes (146 at peak, 155 added, 9 deleted).
% 0.20/0.51 ; Retrieved 274 generalization terms in 308 calls.
% 0.20/0.51 ; Retrieved 110 instance terms in 86 calls.
% 0.20/0.51 ; Retrieved 3,492 unifiable terms in 967 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 15 entries:
% 0.20/0.51 ; 15 with value 7
% 0.20/0.51 ; The agenda of rows to give has 17 entries:
% 0.20/0.51 ; 6 with value (4 6) 9 with value (4 7) 2 with value (4 11)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.052 seconds of real time
% 0.20/0.51 0.042689 seconds of user run time
% 0.20/0.51 0.008838 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 4,135,296 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T23:17:12
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------