TSTP Solution File: ALG020+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG020+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 17:59:39 EDT 2022
% Result : Theorem 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 32 ( 23 unt; 9 nHn; 32 RR)
% Number of literals : 50 ( 49 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(9,axiom,
e20 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(11,axiom,
e21 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(12,axiom,
e22 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(29,axiom,
op1(e10,e10) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(34,axiom,
op1(e11,e11) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(39,axiom,
op1(e12,e12) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(44,axiom,
op1(e13,e13) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(50,axiom,
op2(e21,e21) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(55,axiom,
op2(e22,e22) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(60,axiom,
op2(e23,e23) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(61,negated_conjecture,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(66,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(69,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(70,plain,
h(e10) = op2(h(e10),h(e10)),
inference('REWRITE',[status(thm)],[69,29,theory(equality)]) ).
cnf(111,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(112,plain,
j(e23) = op1(j(e21),j(e21)),
inference('REWRITE',[status(thm)],[111,50,theory(equality)]) ).
cnf(134,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(136,negated_conjecture,
h(j(e23)) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(138,negated_conjecture,
j(h(e11)) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(142,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[70,61,theory(equality)]),9,60,theory(equality)]) ).
cnf(170,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e23) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[112,66,theory(equality)]),44,theory(equality)]) ).
cnf(194,plain,
( h(e10) = e20
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[70,142,theory(equality)]),12,55,theory(equality)]) ).
cnf(196,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[70,194,theory(equality)]),11,50,theory(equality)]) ).
cnf(241,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[136,170,theory(equality)]),9,196,theory(equality)]) ).
cnf(243,plain,
( j(e21) = e10
| j(e21) = e11
| j(e23) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[112,241,theory(equality)]),39,theory(equality)]) ).
cnf(254,plain,
( j(e21) = e10
| j(e21) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[136,243,theory(equality)]),9,196,theory(equality)]) ).
cnf(255,plain,
( j(e21) = e10
| h(e11) = e21 ),
inference('PARAMODULATE',[status(thm)],[134,254,theory(equality)]) ).
cnf(261,plain,
h(e11) = e21,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[134,255,theory(equality)]),7,196,theory(equality)]) ).
cnf(268,plain,
j(e21) = e11,
inference('REWRITE',[status(thm)],[138,261,theory(equality)]) ).
cnf(269,plain,
j(e23) = e10,
inference('REWRITE',[status(thm)],[112,34,268,theory(equality)]) ).
cnf(271,plain,
$false,
inference('REWRITE',[status(thm)],[136,9,196,269,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG020+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % 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 : Wed Jun 8 18:16:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T18:16:19
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-08T18:16:19
% 0.39/0.60
% 0.39/0.60
% 0.39/0.60 #||
% 0.39/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation
% See solution above
% 0.39/0.60 ||#
% 0.39/0.60
% 0.39/0.60 ; Summary of computation:
% 0.39/0.60 ; 567 formulas have been input or derived (from 141 formulas).
% 0.39/0.60 ; 271 (48%) were retained. Of these,
% 0.39/0.60 ; 182 (67%) were simplified or subsumed later,
% 0.39/0.60 ; 89 (33%) are still being kept.
% 0.39/0.60 ;
% 0.39/0.60 ; Run time in seconds excluding printing time:
% 0.39/0.60 ; 0.009 8% Read assertion file (1 call)
% 0.39/0.60 ; 0.006 5% Assert (6 calls)
% 0.39/0.60 ; 0.026 23% Process new row (462 calls)
% 0.39/0.60 ; 0.003 3% Resolution (280 calls)
% 0.39/0.60 ; 0.008 7% Paramodulation (140 calls)
% 0.39/0.60 ; 0.000 0% Factoring (20 calls)
% 0.39/0.60 ; 0.000 0% Condensing (115 calls)
% 0.39/0.60 ; 0.008 7% Forward subsumption (115 calls)
% 0.39/0.60 ; 0.003 3% Backward subsumption (108 calls)
% 0.39/0.60 ; 0.000 0% Clause clause subsumption (121 calls)
% 0.39/0.60 ; 0.011 10% Forward simplification (416 calls)
% 0.39/0.60 ; 0.009 8% Backward simplification (239 calls)
% 0.39/0.60 ; 0.003 3% Ordering (1,611 calls)
% 0.39/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.60 ; 0.000 0% Purity testing (1 call)
% 0.39/0.60 ; 0.026 23% Other
% 0.39/0.60 ; 0.112 Total
% 0.39/0.60 ; 0.132 Real time
% 0.39/0.60 ;
% 0.39/0.60 ; Term-hash-array has 329 terms in all.
% 0.39/0.60 ; Feature-vector-row-index has 5 entries (59 at peak, 108 added, 103 deleted).
% 0.39/0.60 ; Feature-vector-row-index has 52 nodes (424 at peak, 765 added, 713 deleted).
% 0.39/0.60 ; Retrieved 45 possibly forward subsuming rows in 115 calls.
% 0.39/0.60 ; Retrieved 78 possibly backward subsumed rows in 108 calls.
% 0.39/0.60 ; Path-index has 161 entries (265 at peak, 367 added, 206 deleted).
% 0.39/0.60 ; Path-index has 112 nodes (142 at peak, 142 added, 30 deleted).
% 0.39/0.60 ; Trie-index has 161 entries (265 at peak, 367 added, 206 deleted).
% 0.39/0.60 ; Trie-index has 289 nodes (470 at peak, 649 added, 360 deleted).
% 0.39/0.60 ; Retrieved 157 generalization terms in 1,501 calls.
% 0.39/0.60 ; Retrieved 130 instance terms in 130 calls.
% 0.39/0.60 ; Retrieved 132 unifiable terms in 846 calls.
% 0.39/0.60 ;
% 0.39/0.60 ; The agenda of backward simplifiable rows to process has 59 entries:
% 0.39/0.60 ; 59 with value 0
% 0.39/0.60 ; The agenda of rows to process has 7 entries:
% 0.39/0.60 ; 1 with value 19 2 with value 21 2 with value 22
% 0.39/0.60 ; 2 with value 20
% 0.39/0.60 ; The agenda of input rows to give has 9 entries:
% 0.39/0.60 ; 2 with value 6 7 with value 10
% 0.39/0.60 ; The agenda of rows to give has 3 entries:
% 0.39/0.60 ; 1 with value (4 12) 1 with value (4 25) 1 with value (4 38)
% 0.39/0.60 Evaluation took:
% 0.39/0.60 0.133 seconds of real time
% 0.39/0.60 0.103196 seconds of user run time
% 0.39/0.60 0.012651 seconds of system run time
% 0.39/0.60 0 calls to %EVAL
% 0.39/0.60 0 page faults and
% 0.39/0.60 7,108,408 bytes consed.
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T18:16:19
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 *
%------------------------------------------------------------------------------