%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP127-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 11:36:52 EDT 2022
% Result : Unsatisfiable 0.37s 0.57s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of clauses : 49 ( 35 unt; 11 nHn; 48 RR)
% Number of literals : 70 ( 0 equ; 35 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 : 15 ( 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_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(qg3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Z,X,U)
| product(U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(58,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(60,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(61,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(62,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(63,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(64,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(65,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(67,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(68,plain,
~ product(e_1,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_3_is_not_e_1]) ).
cnf(69,plain,
~ product(e_1,e_4,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_4_is_not_e_1]) ).
cnf(72,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(74,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(77,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(79,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(80,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(81,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(99,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]),58,81]) ).
cnf(100,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]),72,63]) ).
cnf(101,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]),62,77]) ).
cnf(102,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]),61,80]) ).
cnf(104,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]),74,65]) ).
cnf(105,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]),64,79]) ).
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,102,101]),e_1_is_not_e_2]) ).
cnf(123,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,104,100]),60]) ).
cnf(124,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,105,102]),e_2_is_not_e_3]) ).
cnf(159,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,123,99]),69]) ).
cnf(160,plain,
product(e_3,e_1,e_2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,124,118]),67]) ).
cnf(163,plain,
~ product(e_2,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[qg3,160,68]) ).
cnf(173,plain,
product(e_4,e_1,e_2),
inference('REWRITE',[status(thm)],[159,163]) ).
cnf(174,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,160,e_3_is_not_e_4]),173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP127-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 14:01:38 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 2022-06-13T14:01:38
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-13T14:01:38
% 0.37/0.57
% 0.37/0.57
% 0.37/0.57 #||
% 0.37/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.57 % SZS output start Refutation
% See solution above
% 0.37/0.57 ||#
% 0.37/0.57
% 0.37/0.57 ; Summary of computation:
% 0.37/0.57 ; 546 formulas have been input or derived (from 117 formulas).
% 0.37/0.57 ; 174 (32%) were retained. Of these,
% 0.37/0.57 ; 63 (36%) were simplified or subsumed later,
% 0.37/0.57 ; 111 (64%) are still being kept.
% 0.37/0.57 ;
% 0.37/0.57 ; Run time in seconds excluding printing time:
% 0.37/0.57 ; 0.006 7% Read assertion file (1 call)
% 0.37/0.57 ; 0.001 1% Assert (43 calls)
% 0.37/0.57 ; 0.011 12% Process new row (484 calls)
% 0.37/0.57 ; 0.015 17% Resolution (232 calls)
% 0.37/0.57 ; 0.000 0% Paramodulation (116 calls)
% 0.37/0.57 ; 0.000 0% Factoring (22 calls)
% 0.37/0.57 ; 0.000 0% Condensing (134 calls)
% 0.37/0.57 ; 0.007 8% Forward subsumption (134 calls)
% 0.37/0.57 ; 0.002 2% Backward subsumption (77 calls)
% 0.37/0.57 ; 0.002 2% Clause clause subsumption (970 calls)
% 0.37/0.57 ; 0.009 10% Forward simplification (462 calls)
% 0.37/0.57 ; 0.003 3% Backward simplification (174 calls)
% 0.37/0.57 ; 0.002 2% Ordering (297 calls)
% 0.37/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.57 ; 0.000 0% Purity testing (1 call)
% 0.37/0.57 ; 0.030 34% Other
% 0.37/0.57 ; 0.088 Total
% 0.37/0.57 ; 0.093 Real time
% 0.37/0.57 ;
% 0.37/0.57 ; Term-hash-array has 149 terms in all.
% 0.37/0.57 ; Feature-vector-row-index has 15 entries (64 at peak, 77 added, 62 deleted).
% 0.37/0.57 ; Feature-vector-row-index has 59 nodes (131 at peak, 168 added, 109 deleted).
% 0.37/0.57 ; Retrieved 939 possibly forward subsuming rows in 134 calls.
% 0.37/0.57 ; Retrieved 316 possibly backward subsumed rows in 77 calls.
% 0.37/0.57 ; Path-index has 145 entries (153 at peak, 167 added, 22 deleted).
% 0.37/0.57 ; Path-index has 86 nodes (86 at peak, 88 added, 2 deleted).
% 0.37/0.57 ; Trie-index has 145 entries (153 at peak, 167 added, 22 deleted).
% 0.37/0.57 ; Trie-index has 175 nodes (183 at peak, 198 added, 23 deleted).
% 0.37/0.57 ; Retrieved 807 generalization terms in 899 calls.
% 0.37/0.57 ; Retrieved 124 instance terms in 96 calls.
% 0.37/0.57 ; Retrieved 6,303 unifiable terms in 1,579 calls.
% 0.37/0.57 ;
% 0.37/0.57 ; The agenda of rows to process has 24 entries:
% 0.37/0.57 ; 17 with value 9 4 with value 13 2 with value 14
% 0.37/0.57 ; 1 with value 12
% 0.37/0.57 ; The agenda of rows to give has 14 entries:
% 0.37/0.57 ; 1 with value (4 5) 5 with value (4 8) 1 with value (4 13)
% 0.37/0.57 ; 1 with value (4 6) 1 with value (4 9) 1 with value (4 17)
% 0.37/0.57 ; 4 with value (4 7)
% 0.37/0.57 Evaluation took:
% 0.37/0.57 0.093 seconds of real time
% 0.37/0.57 0.076283 seconds of user run time
% 0.37/0.57 0.017272 seconds of system run time
% 0.37/0.57 0 calls to %EVAL
% 0.37/0.57 0 page faults and
% 0.37/0.57 6,890,896 bytes consed.
% 0.37/0.57 :PROOF-FOUND
% 0.37/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:01:38
% 0.37/0.57 :PROOF-FOUND
% 0.37/0.57 *
%------------------------------------------------------------------------------