TSTP Solution File: ALG087+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG087+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 17:59:51 EDT 2022
% Result : Theorem 0.39s 0.61s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of clauses : 62 ( 45 unt; 17 nHn; 62 RR)
% Number of literals : 103 ( 102 equ; 10 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(2,axiom,
e10 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(4,axiom,
e10 != e14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(5,axiom,
e11 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(12,axiom,
e20 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(13,axiom,
e20 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(14,axiom,
e20 != e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(18,axiom,
e22 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(19,axiom,
e22 != e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(20,axiom,
e23 != 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(48,axiom,
op1(e10,e12) = e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(52,axiom,
op1(e11,e11) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(53,axiom,
op1(e11,e12) = e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(58,axiom,
op1(e12,e12) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(63,axiom,
op1(e13,e12) = e14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(77,axiom,
op2(e21,e21) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(83,axiom,
op2(e22,e22) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(89,axiom,
op2(e23,e23) = e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(95,axiom,
op2(e24,e24) = e22,
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(97,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(98,negated_conjecture,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = 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(110,negated_conjecture,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(111,plain,
h(e12) = op2(h(e10),h(e12)),
inference('REWRITE',[status(thm)],[110,48,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(e10) = op2(h(e11),h(e11)),
inference('REWRITE',[status(thm)],[118,52,theory(equality)]) ).
cnf(120,negated_conjecture,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(121,plain,
h(e13) = op2(h(e11),h(e12)),
inference('REWRITE',[status(thm)],[120,53,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(e10) = op2(h(e12),h(e12)),
inference('REWRITE',[status(thm)],[130,58,theory(equality)]) ).
cnf(140,negated_conjecture,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(141,plain,
h(e14) = op2(h(e13),h(e12)),
inference('REWRITE',[status(thm)],[140,63,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(213,negated_conjecture,
j(h(e12)) = e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(215,negated_conjecture,
j(h(e14)) = e14,
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)]),19,95,theory(equality)]) ).
cnf(219,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[119,97,theory(equality)]),95,theory(equality)]) ).
cnf(229,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[131,98,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)]),20,89,theory(equality)]) ).
cnf(303,plain,
( h(e10) = e20
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,301,theory(equality)]),18,83,theory(equality)]) ).
cnf(305,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,303,theory(equality)]),11,77,theory(equality)]) ).
cnf(307,plain,
h(e12) = op2(e20,h(e12)),
inference('REWRITE',[status(thm)],[111,305,theory(equality)]) ).
cnf(311,plain,
e20 = op2(h(e11),h(e11)),
inference('REWRITE',[status(thm)],[119,305,theory(equality)]) ).
cnf(313,plain,
e20 = op2(h(e12),h(e12)),
inference('REWRITE',[status(thm)],[131,305,theory(equality)]) ).
cnf(318,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[211,305,theory(equality)]) ).
cnf(337,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[219,12,305,theory(equality)]) ).
cnf(338,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 ),
inference('REWRITE',[status(thm)],[229,12,305,theory(equality)]) ).
cnf(342,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[311,337,theory(equality)]),14,89,theory(equality)]) ).
cnf(344,plain,
( h(e11) = e20
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[311,342,theory(equality)]),13,83,theory(equality)]) ).
cnf(345,plain,
( h(e11) = e20
| j(e21) = e11 ),
inference('PARAMODULATE',[status(thm)],[212,344,theory(equality)]) ).
cnf(365,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[313,338,theory(equality)]),14,89,theory(equality)]) ).
cnf(367,plain,
( h(e12) = e20
| h(e12) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[313,365,theory(equality)]),13,83,theory(equality)]) ).
cnf(368,plain,
( h(e12) = e20
| j(e21) = e12 ),
inference('PARAMODULATE',[status(thm)],[213,367,theory(equality)]) ).
cnf(377,plain,
( h(e12) = e20
| h(e11) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[345,368,theory(equality)]),5]) ).
cnf(384,plain,
h(e11) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[213,377,theory(equality)]),2,318,theory(equality)]) ).
cnf(385,plain,
h(e13) = h(e12),
inference('REWRITE',[status(thm)],[121,307,384,theory(equality)]) ).
cnf(387,plain,
h(e14) = e20,
inference('REWRITE',[status(thm)],[141,313,385,theory(equality)]) ).
cnf(388,plain,
$false,
inference('REWRITE',[status(thm)],[215,4,318,387,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG087+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 03:31:50 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 2022-06-08T03:31:50
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-08T03:31:50
% 0.39/0.61
% 0.39/0.61
% 0.39/0.61 #||
% 0.39/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.61 % SZS output start Refutation
% See solution above
% 0.39/0.62 ||#
% 0.39/0.62
% 0.39/0.62 ; Summary of computation:
% 0.39/0.62 ; 754 formulas have been input or derived (from 216 formulas).
% 0.39/0.62 ; 388 (51%) were retained. Of these,
% 0.39/0.62 ; 216 (56%) were simplified or subsumed later,
% 0.39/0.62 ; 172 (44%) are still being kept.
% 0.39/0.62 ;
% 0.39/0.62 ; Run time in seconds excluding printing time:
% 0.39/0.62 ; 0.014 10% Read assertion file (1 call)
% 0.39/0.62 ; 0.012 8% Assert (6 calls)
% 0.39/0.62 ; 0.034 24% Process new row (638 calls)
% 0.39/0.62 ; 0.005 3% Resolution (430 calls)
% 0.39/0.62 ; 0.010 7% Paramodulation (215 calls)
% 0.39/0.62 ; 0.000 0% Factoring (34 calls)
% 0.39/0.62 ; 0.000 0% Condensing (160 calls)
% 0.39/0.62 ; 0.012 8% Forward subsumption (160 calls)
% 0.39/0.62 ; 0.009 6% Backward subsumption (152 calls)
% 0.39/0.62 ; 0.001 1% Clause clause subsumption (102 calls)
% 0.39/0.62 ; 0.012 8% Forward simplification (553 calls)
% 0.39/0.62 ; 0.006 4% Backward simplification (338 calls)
% 0.39/0.62 ; 0.004 3% Ordering (2,309 calls)
% 0.39/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.62 ; 0.000 0% Purity testing (1 call)
% 0.39/0.62 ; 0.025 17% Other
% 0.39/0.62 ; 0.144 Total
% 0.39/0.62 ; 0.147 Real time
% 0.39/0.62 ;
% 0.39/0.62 ; Term-hash-array has 489 terms in all.
% 0.39/0.62 ; Feature-vector-row-index has 39 entries (91 at peak, 152 added, 113 deleted).
% 0.39/0.62 ; Feature-vector-row-index has 395 nodes (799 at peak, 1,284 added, 889 deleted).
% 0.39/0.62 ; Retrieved 30 possibly forward subsuming rows in 160 calls.
% 0.39/0.62 ; Retrieved 72 possibly backward subsumed rows in 152 calls.
% 0.39/0.62 ; Path-index has 300 entries (405 at peak, 543 added, 243 deleted).
% 0.39/0.62 ; Path-index has 140 nodes (170 at peak, 170 added, 30 deleted).
% 0.39/0.62 ; Trie-index has 300 entries (405 at peak, 543 added, 243 deleted).
% 0.39/0.62 ; Trie-index has 504 nodes (691 at peak, 902 added, 398 deleted).
% 0.39/0.62 ; Retrieved 181 generalization terms in 1,989 calls.
% 0.39/0.62 ; Retrieved 185 instance terms in 185 calls.
% 0.39/0.62 ; Retrieved 191 unifiable terms in 1,325 calls.
% 0.39/0.62 ;
% 0.39/0.62 ; The agenda of backward simplifiable rows to process has 50 entries:
% 0.39/0.62 ; 50 with value 0
% 0.39/0.62 ; The agenda of rows to process has 10 entries:
% 0.39/0.62 ; 1 with value 19 3 with value 20 6 with value 22
% 0.39/0.62 ; The agenda of input rows to give has 2 entries:
% 0.39/0.62 ; 1 with value 6 1 with value 7
% 0.39/0.62 ; The agenda of rows to give has 34 entries:
% 0.39/0.62 ; 1 with value (4 12) 3 with value (4 31) 18 with value (4 35)
% 0.39/0.62 ; 6 with value (4 21) 6 with value (4 34)
% 0.39/0.62 Evaluation took:
% 0.39/0.62 0.148 seconds of real time
% 0.39/0.62 0.128926 seconds of user run time
% 0.39/0.62 0.018641 seconds of system run time
% 0.39/0.62 0 calls to %EVAL
% 0.39/0.62 0 page faults and
% 0.39/0.62 10,838,840 bytes consed.
% 0.39/0.62 :PROOF-FOUND
% 0.39/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T03:31:50
% 0.39/0.62 :PROOF-FOUND
% 0.39/0.62 *
%------------------------------------------------------------------------------