TSTP Solution File: ALG084+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG084+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 17:59:50 EDT 2022
% Result : Theorem 0.44s 0.63s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 27
% Syntax : Number of clauses : 55 ( 42 unt; 13 nHn; 55 RR)
% Number of literals : 84 ( 83 equ; 6 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
e10 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(5,axiom,
e11 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
e13 != e14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(15,axiom,
e21 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(16,axiom,
e21 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(17,axiom,
e21 != e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
op1(e10,e10) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(52,axiom,
op1(e11,e11) = e14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(58,axiom,
op1(e12,e12) = e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(64,axiom,
op1(e13,e13) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(70,axiom,
op1(e14,e14) = e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(77,axiom,
op2(e21,e21) = e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(83,axiom,
op2(e22,e22) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(89,axiom,
op2(e23,e23) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(95,axiom,
op2(e24,e24) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(96,negated_conjecture,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(99,negated_conjecture,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(106,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(107,plain,
h(e10) = op2(h(e10),h(e10)),
inference('REWRITE',[status(thm)],[106,46,theory(equality)]) ).
cnf(118,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(119,plain,
h(e14) = op2(h(e11),h(e11)),
inference('REWRITE',[status(thm)],[118,52,theory(equality)]) ).
cnf(130,negated_conjecture,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(131,plain,
h(e13) = op2(h(e12),h(e12)),
inference('REWRITE',[status(thm)],[130,58,theory(equality)]) ).
cnf(142,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(143,plain,
h(e11) = op2(h(e13),h(e13)),
inference('REWRITE',[status(thm)],[142,64,theory(equality)]) ).
cnf(154,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(155,plain,
h(e12) = op2(h(e14),h(e14)),
inference('REWRITE',[status(thm)],[154,70,theory(equality)]) ).
cnf(168,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(169,plain,
j(e22) = op1(j(e21),j(e21)),
inference('REWRITE',[status(thm)],[168,77,theory(equality)]) ).
cnf(180,negated_conjecture,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(181,plain,
j(e21) = op1(j(e22),j(e22)),
inference('REWRITE',[status(thm)],[180,83,theory(equality)]) ).
cnf(211,negated_conjecture,
j(h(e10)) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(212,negated_conjecture,
j(h(e11)) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(214,negated_conjecture,
j(h(e13)) = e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(217,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,96,theory(equality)]),17,95,theory(equality)]) ).
cnf(239,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[143,99,theory(equality)]),95,theory(equality)]) ).
cnf(301,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,217,theory(equality)]),16,89,theory(equality)]) ).
cnf(303,plain,
( h(e10) = e20
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,301,theory(equality)]),15,83,theory(equality)]) ).
cnf(305,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,303,theory(equality)]),15,77,theory(equality)]) ).
cnf(318,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[211,305,theory(equality)]) ).
cnf(383,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[143,239,theory(equality)]),89,theory(equality)]) ).
cnf(385,plain,
( h(e13) = e20
| h(e13) = e21
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[143,383,theory(equality)]),83,theory(equality)]) ).
cnf(387,plain,
( h(e13) = e20
| h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[143,385,theory(equality)]),77,theory(equality)]) ).
cnf(401,plain,
( h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[214,387,theory(equality)]),3,318,theory(equality)]) ).
cnf(402,plain,
( h(e11) = e21
| j(e22) = e11 ),
inference('PARAMODULATE',[status(thm)],[212,401,theory(equality)]) ).
cnf(410,plain,
( h(e11) = e21
| j(e21) = e14 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[181,402,theory(equality)]),52,theory(equality)]) ).
cnf(424,plain,
( h(e11) = e21
| j(e22) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,410,theory(equality)]),70,theory(equality)]) ).
cnf(439,plain,
h(e11) = e21,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[402,424,theory(equality)]),5]) ).
cnf(440,plain,
h(e14) = e22,
inference('REWRITE',[status(thm)],[119,77,439,theory(equality)]) ).
cnf(443,plain,
h(e12) = e21,
inference('REWRITE',[status(thm)],[155,83,440,theory(equality)]) ).
cnf(444,plain,
h(e13) = e22,
inference('REWRITE',[status(thm)],[131,77,443,theory(equality)]) ).
cnf(445,plain,
j(e22) = e13,
inference('REWRITE',[status(thm)],[214,444,theory(equality)]) ).
cnf(446,plain,
e13 = op1(j(e21),j(e21)),
inference('REWRITE',[status(thm)],[169,445,theory(equality)]) ).
cnf(449,plain,
j(e21) = e11,
inference('REWRITE',[status(thm)],[181,64,445,theory(equality)]) ).
cnf(458,plain,
$false,
inference('REWRITE',[status(thm)],[446,10,52,449,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG084+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 8 04:37:07 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T04:37:07
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-08T04:37:07
% 0.44/0.63
% 0.44/0.63
% 0.44/0.63 #||
% 0.44/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.63 % SZS output start Refutation
% See solution above
% 0.47/0.63 ||#
% 0.47/0.63
% 0.47/0.63 ; Summary of computation:
% 0.47/0.63 ; 964 formulas have been input or derived (from 211 formulas).
% 0.47/0.63 ; 458 (48%) were retained. Of these,
% 0.47/0.63 ; 340 (74%) were simplified or subsumed later,
% 0.47/0.63 ; 118 (26%) are still being kept.
% 0.47/0.63 ;
% 0.47/0.63 ; Run time in seconds excluding printing time:
% 0.47/0.63 ; 0.014 9% Read assertion file (1 call)
% 0.47/0.63 ; 0.011 7% Assert (6 calls)
% 0.47/0.63 ; 0.036 22% Process new row (763 calls)
% 0.47/0.63 ; 0.002 1% Resolution (420 calls)
% 0.47/0.63 ; 0.014 9% Paramodulation (210 calls)
% 0.47/0.63 ; 0.000 0% Factoring (29 calls)
% 0.47/0.63 ; 0.000 0% Condensing (242 calls)
% 0.47/0.63 ; 0.010 6% Forward subsumption (242 calls)
% 0.47/0.63 ; 0.009 5% Backward subsumption (209 calls)
% 0.47/0.63 ; 0.002 1% Clause clause subsumption (199 calls)
% 0.47/0.63 ; 0.022 13% Forward simplification (689 calls)
% 0.47/0.63 ; 0.010 6% Backward simplification (408 calls)
% 0.47/0.63 ; 0.007 4% Ordering (3,071 calls)
% 0.47/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.63 ; 0.001 1% Purity testing (1 call)
% 0.47/0.63 ; 0.026 16% Other
% 0.47/0.63 ; 0.164 Total
% 0.47/0.63 ; 0.174 Real time
% 0.47/0.63 ;
% 0.47/0.63 ; Term-hash-array has 556 terms in all.
% 0.47/0.63 ; Feature-vector-row-index has 2 entries (123 at peak, 209 added, 207 deleted).
% 0.47/0.63 ; Feature-vector-row-index has 21 nodes (1,072 at peak, 1,689 added, 1,668 deleted).
% 0.47/0.63 ; Retrieved 88 possibly forward subsuming rows in 242 calls.
% 0.47/0.63 ; Retrieved 115 possibly backward subsumed rows in 209 calls.
% 0.47/0.64 ; Path-index has 205 entries (450 at peak, 618 added, 413 deleted).
% 0.47/0.64 ; Path-index has 122 nodes (170 at peak, 170 added, 48 deleted).
% 0.47/0.64 ; Trie-index has 205 entries (450 at peak, 618 added, 413 deleted).
% 0.47/0.64 ; Trie-index has 339 nodes (752 at peak, 1,042 added, 703 deleted).
% 0.47/0.64 ; Retrieved 283 generalization terms in 2,926 calls.
% 0.47/0.64 ; Retrieved 198 instance terms in 198 calls.
% 0.47/0.64 ; Retrieved 197 unifiable terms in 1,286 calls.
% 0.47/0.64 ;
% 0.47/0.64 ; The agenda of backward simplifiable rows to process has 138 entries:
% 0.47/0.64 ; 138 with value 0
% 0.47/0.64 ; The agenda of rows to process has 11 entries:
% 0.47/0.64 ; 1 with value 21 1 with value 23 4 with value 25
% 0.47/0.64 ; 2 with value 22 2 with value 24 1 with value 35
% 0.47/0.64 ; The agenda of input rows to give has 11 entries:
% 0.47/0.64 ; 5 with value 6 2 with value 9 4 with value 10
% 0.47/0.64 ; The agenda of rows to give has 3 entries:
% 0.47/0.64 ; 1 with value (4 15) 2 with value (4 25)
% 0.47/0.64 Evaluation took:
% 0.47/0.64 0.174 seconds of real time
% 0.47/0.64 0.149983 seconds of user run time
% 0.47/0.64 0.024231 seconds of system run time
% 0.47/0.64 [Run times include 0.005 seconds GC run time.]
% 0.47/0.64 0 calls to %EVAL
% 0.47/0.64 0 page faults and
% 0.47/0.64 12,505,672 bytes consed.
% 0.47/0.64 :PROOF-FOUND
% 0.47/0.64 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T04:37:07
% 0.47/0.64 :PROOF-FOUND
% 0.47/0.64 *
%------------------------------------------------------------------------------