TSTP Solution File: GRP133-2.003 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 11:37:02 EDT 2022
% Result : Unsatisfiable 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 50 ( 20 unt; 26 nHn; 50 RR)
% Number of literals : 104 ( 0 equ; 22 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
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_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
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_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',e_3_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) ),
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(qg3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Y,X,U)
| product(Z,U,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(21,plain,
~ product(e_1,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[no_redundancy,e_1_then_e_2,e_3_greater_e_2]) ).
cnf(22,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_3]) ).
cnf(24,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_1]) ).
cnf(27,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]) ).
cnf(28,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_3]) ).
cnf(29,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]) ).
cnf(30,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_1]),21]) ).
cnf(31,plain,
~ product(e_3,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[qg3,21]) ).
cnf(32,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference('REWRITE',[status(thm)],[22,31]) ).
cnf(35,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,30,30]) ).
cnf(41,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,24,32]),e_1_is_not_e_3]) ).
cnf(54,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,28,32]),e_1_is_not_e_3]) ).
cnf(56,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,28,24]),31]) ).
cnf(61,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,29,27]),31]) ).
cnf(65,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,41,41]) ).
cnf(67,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,54,54]) ).
cnf(73,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,65,35]) ).
cnf(82,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,67,35]) ).
cnf(84,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,73,30]),e_3_is_not_e_1]) ).
cnf(85,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,82,30]),e_3_is_not_e_1]) ).
cnf(86,plain,
product(e_1,e_1,e_1),
inference('HYPERRESOLVE',[status(thm)],[qg3,85,84]) ).
cnf(88,plain,
~ product(e_2,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,86,e_1_is_not_e_2]) ).
cnf(89,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference('REWRITE',[status(thm)],[27,88]) ).
cnf(92,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference('REWRITE',[status(thm)],[61,88]) ).
cnf(94,plain,
~ product(e_3,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,86,e_1_is_not_e_3]) ).
cnf(96,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_2) ),
inference('REWRITE',[status(thm)],[41,94]) ).
cnf(97,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[56,94]) ).
cnf(103,plain,
~ product(e_1,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,86,e_1_is_not_e_2]) ).
cnf(107,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference('REWRITE',[status(thm)],[92,103]) ).
cnf(109,plain,
~ product(e_1,e_3,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,86,e_1_is_not_e_3]) ).
cnf(116,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[97,109]) ).
cnf(121,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,107,89]) ).
cnf(125,plain,
product(e_3,e_1,e_2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,116,96]),e_1_is_not_e_3]) ).
cnf(127,plain,
~ product(e_2,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,125,e_3_is_not_e_2]) ).
cnf(134,plain,
product(e_3,e_2,e_2),
inference('REWRITE',[status(thm)],[121,127]) ).
cnf(135,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,125,e_1_is_not_e_2]),134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Mon Jun 13 06:44:56 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.14/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 *
% 0.14/0.38 *
% 0.14/0.38 #<PACKAGE "SNARK-USER">
% 0.14/0.38 *
% 0.14/0.38 SNARK-TPTP-OPTIONS
% 0.14/0.38 *
% 0.14/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.38 (USE-FACTORING :POS)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.38 *
% 0.14/0.38 "."
% 0.14/0.38 *
% 0.14/0.38 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T06:44:56
% 0.14/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-13T06:44:56
% 0.14/0.45
% 0.14/0.45
% 0.14/0.45 #||
% 0.14/0.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.45 % SZS output start Refutation
% See solution above
% 0.14/0.46 ||#
% 0.14/0.46
% 0.14/0.46 ; Summary of computation:
% 0.14/0.46 ; 887 formulas have been input or derived (from 72 formulas).
% 0.14/0.46 ; 135 (15%) were retained. Of these,
% 0.14/0.46 ; 91 (67%) were simplified or subsumed later,
% 0.14/0.46 ; 44 (33%) are still being kept.
% 0.14/0.46 ;
% 0.14/0.46 ; Run time in seconds excluding printing time:
% 0.14/0.46 ; 0.002 3% Read assertion file (1 call)
% 0.14/0.46 ; 0.001 1% Assert (20 calls)
% 0.14/0.46 ; 0.010 15% Process new row (710 calls)
% 0.14/0.46 ; 0.015 22% Resolution (142 calls)
% 0.14/0.46 ; 0.001 1% Paramodulation (71 calls)
% 0.14/0.46 ; 0.000 0% Factoring (39 calls)
% 0.14/0.46 ; 0.000 0% Condensing (268 calls)
% 0.14/0.46 ; 0.006 9% Forward subsumption (268 calls)
% 0.14/0.46 ; 0.003 4% Backward subsumption (99 calls)
% 0.14/0.46 ; 0.001 1% Clause clause subsumption (990 calls)
% 0.14/0.46 ; 0.006 9% Forward simplification (518 calls)
% 0.14/0.46 ; 0.002 3% Backward simplification (135 calls)
% 0.14/0.46 ; 0.000 0% Ordering (541 calls)
% 0.14/0.46 ; 0.000 0% Sortal reasoning (32 calls)
% 0.14/0.46 ; 0.000 0% Purity testing (1 call)
% 0.14/0.46 ; 0.021 31% Other
% 0.14/0.46 ; 0.068 Total
% 0.14/0.46 ; 0.071 Real time
% 0.14/0.46 ;
% 0.14/0.46 ; Term-hash-array has 63 terms in all.
% 0.14/0.46 ; Feature-vector-row-index has 8 entries (41 at peak, 99 added, 91 deleted).
% 0.14/0.46 ; Feature-vector-row-index has 22 nodes (117 at peak, 196 added, 174 deleted).
% 0.14/0.46 ; Retrieved 1,374 possibly forward subsuming rows in 268 calls.
% 0.14/0.46 ; Retrieved 312 possibly backward subsumed rows in 99 calls.
% 0.14/0.46 ; Path-index has 59 entries (64 at peak, 84 added, 25 deleted).
% 0.14/0.46 ; Path-index has 57 nodes (57 at peak, 57 added, 0 deleted).
% 0.14/0.46 ; Trie-index has 59 entries (64 at peak, 84 added, 25 deleted).
% 0.14/0.46 ; Trie-index has 84 nodes (88 at peak, 111 added, 27 deleted).
% 0.14/0.46 ; Retrieved 339 generalization terms in 1,666 calls.
% 0.14/0.46 ; Retrieved 35 instance terms in 35 calls.
% 0.14/0.46 ; Retrieved 3,503 unifiable terms in 875 calls.
% 0.14/0.46 ;
% 0.14/0.46 ; The agenda of rows to process has 20 entries:
% 0.14/0.46 ; 9 with value 9 4 with value 14 2 with value 18
% 0.14/0.46 ; 5 with value 13
% 0.14/0.46 ; The agenda of rows to give has 10 entries:
% 0.14/0.46 ; 1 with value (4 6) 3 with value (4 8) 1 with value (4 10)
% 0.14/0.46 ; 1 with value (4 7) 2 with value (4 9) 2 with value (4 12)
% 0.14/0.46 Evaluation took:
% 0.14/0.46 0.071 seconds of real time
% 0.14/0.46 0.063857 seconds of user run time
% 0.14/0.46 0.007953 seconds of system run time
% 0.14/0.46 0 calls to %EVAL
% 0.14/0.46 0 page faults and
% 0.14/0.46 8,316,552 bytes consed.
% 0.14/0.46 :PROOF-FOUND
% 0.14/0.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T06:44:56
% 0.14/0.46 :PROOF-FOUND
% 0.14/0.46 *
%------------------------------------------------------------------------------