TSTP Solution File: ALG036+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG036+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : Thu Jul 14 17:59:42 EDT 2022
% Result : Theorem 0.45s 0.66s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 23 ( 16 unt; 5 nHn; 23 RR)
% Number of literals : 40 ( 39 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(18,axiom,
op(e0,unit) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(50,axiom,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(58,axiom,
unit = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(61,axiom,
op(e0,e0) != op(e3,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(69,axiom,
op(e1,e1) != op(e3,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(76,axiom,
op(e2,e2) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(107,axiom,
e0 != e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(108,axiom,
e0 != e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(109,axiom,
e0 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(113,negated_conjecture,
( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(180,negated_conjecture,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(264,negated_conjecture,
( op(e2,e2) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(369,plain,
op(e0,e0) = e0,
inference('REWRITE',[status(thm)],[18,58,theory(equality)]) ).
cnf(382,plain,
op(e3,e0) != e0,
inference('REWRITE',[status(thm)],[61,369,theory(equality)]) ).
cnf(384,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference('REWRITE',[status(thm)],[50,382]) ).
cnf(394,plain,
( op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ),
inference('REWRITE',[status(thm)],[113,369,theory(equality)]) ).
cnf(395,plain,
op(e1,e1) = e0,
inference('REWRITE',[status(thm)],[180,109,108,107,369,theory(equality)]) ).
cnf(405,plain,
op(e3,e1) != e0,
inference('REWRITE',[status(thm)],[69,395,theory(equality)]) ).
cnf(407,plain,
( op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference('REWRITE',[status(thm)],[384,405]) ).
cnf(414,plain,
op(e2,e2) = e0,
inference('REWRITE',[status(thm)],[264,109,108,107,395,theory(equality)]) ).
cnf(421,plain,
op(e3,e2) != e0,
inference('REWRITE',[status(thm)],[76,414,theory(equality)]) ).
cnf(423,plain,
op(e3,e3) = e0,
inference('REWRITE',[status(thm)],[407,421]) ).
cnf(432,plain,
$false,
inference('REWRITE',[status(thm)],[394,423,414,395,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG036+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 04:28:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T04:28:32
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-09T04:28:32
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66 #||
% 0.45/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.66 % SZS output start Refutation
% See solution above
% 0.45/0.66 ||#
% 0.45/0.66
% 0.45/0.66 ; Summary of computation:
% 0.45/0.66 ; 720 formulas have been input or derived (from 1 formulas).
% 0.45/0.66 ; 432 (60%) were retained. Of these,
% 0.45/0.66 ; 348 (81%) were simplified or subsumed later,
% 0.45/0.66 ; 84 (19%) are still being kept.
% 0.45/0.66 ;
% 0.45/0.66 ; Run time in seconds excluding printing time:
% 0.45/0.66 ; 0.018 10% Read assertion file (1 call)
% 0.45/0.66 ; 0.027 14% Assert (7 calls)
% 0.45/0.66 ; 0.040 21% Process new row (602 calls)
% 0.45/0.66 ; 0.001 1% Condensing (356 calls)
% 0.45/0.66 ; 0.030 16% Forward subsumption (356 calls)
% 0.45/0.66 ; 0.011 6% Backward subsumption (352 calls)
% 0.45/0.66 ; 0.015 8% Clause clause subsumption (2,709 calls)
% 0.45/0.66 ; 0.014 7% Forward simplification (602 calls)
% 0.45/0.66 ; 0.014 7% Backward simplification (432 calls)
% 0.45/0.66 ; 0.000 0% Ordering (13 calls)
% 0.45/0.66 ; 0.000 0% Sortal reasoning (32 calls)
% 0.45/0.66 ; 0.001 1% Purity testing (1 call)
% 0.45/0.66 ; 0.016 9% Other
% 0.45/0.66 ; 0.187 Total
% 0.45/0.66 ; 0.194 Real time
% 0.45/0.66 ;
% 0.45/0.66 ; Term-hash-array has 154 terms in all.
% 0.45/0.66 ; Feature-vector-row-index has 36 entries (304 at peak, 352 added, 316 deleted).
% 0.45/0.66 ; Feature-vector-row-index has 149 nodes (450 at peak, 663 added, 514 deleted).
% 0.45/0.66 ; Retrieved 1,351 possibly forward subsuming rows in 356 calls.
% 0.45/0.66 ; Retrieved 1,358 possibly backward subsumed rows in 352 calls.
% 0.45/0.66 ; Path-index has 104 entries (140 at peak, 159 added, 55 deleted).
% 0.45/0.66 ; Path-index has 34 nodes (38 at peak, 38 added, 4 deleted).
% 0.45/0.66 ; Trie-index has 104 entries (140 at peak, 159 added, 55 deleted).
% 0.45/0.66 ; Trie-index has 166 nodes (223 at peak, 252 added, 86 deleted).
% 0.45/0.66 ; Retrieved 413 generalization terms in 3,455 calls.
% 0.45/0.66 ; Retrieved 79 instance terms in 79 calls.
% 0.45/0.66 ;
% 0.45/0.66 ; The agenda of backward simplifiable rows to process has 117 entries:
% 0.45/0.66 ; 117 with value 0
% 0.45/0.66 ; The agenda of input rows to give has 83 entries:
% 0.45/0.66 ; 7 with value 4 24 with value 9 36 with value 21
% 0.45/0.66 ; 16 with value 7
% 0.45/0.66 Evaluation took:
% 0.45/0.66 0.195 seconds of real time
% 0.45/0.66 0.175814 seconds of user run time
% 0.45/0.66 0.018733 seconds of system run time
% 0.45/0.66 [Run times include 0.004 seconds GC run time.]
% 0.45/0.66 0 calls to %EVAL
% 0.45/0.66 0 page faults and
% 0.45/0.66 12,715,496 bytes consed.
% 0.45/0.66 :PROOF-FOUND
% 0.45/0.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T04:28:32
% 0.45/0.66 :PROOF-FOUND
% 0.45/0.66 *
%------------------------------------------------------------------------------