TSTP Solution File: ALG182+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG182+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 18:00:06 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 27 ( 18 unt; 9 nHn; 27 RR)
% Number of literals : 49 ( 48 equ; 3 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 : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
e10 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(7,axiom,
e11 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
e20 != e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
op1(e10,e10) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(52,axiom,
op1(e11,e11) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(64,axiom,
op1(e13,e13) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(70,axiom,
op1(e14,e14) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(71,axiom,
op2(e20,e20) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(77,axiom,
op2(e21,e21) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(101,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(102,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(156,negated_conjecture,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(157,plain,
j(e20) = op1(j(e20),j(e20)),
inference('REWRITE',[status(thm)],[156,71,theory(equality)]) ).
cnf(168,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(169,plain,
j(e21) = op1(j(e21),j(e21)),
inference('REWRITE',[status(thm)],[168,77,theory(equality)]) ).
cnf(206,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(207,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(266,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[157,101,theory(equality)]),7,70,theory(equality)]) ).
cnf(268,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,102,theory(equality)]),7,70,theory(equality)]) ).
cnf(276,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[157,266,theory(equality)]),3,64,theory(equality)]) ).
cnf(277,plain,
( j(e20) = e10
| j(e20) = e11
| h(e12) = e20 ),
inference('PARAMODULATE',[status(thm)],[206,276,theory(equality)]) ).
cnf(287,plain,
( j(e20) = e10
| h(e12) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[157,277,theory(equality)]),7,52,theory(equality)]) ).
cnf(289,plain,
h(e12) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[157,287,theory(equality)]),3,46,theory(equality)]) ).
cnf(320,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,268,theory(equality)]),3,64,theory(equality)]) ).
cnf(321,plain,
( j(e21) = e10
| j(e21) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[207,320,theory(equality)]),11,289,theory(equality)]) ).
cnf(323,plain,
j(e21) = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,321,theory(equality)]),7,52,theory(equality)]) ).
cnf(324,plain,
$false,
inference('REWRITE',[status(thm)],[169,3,46,323,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG182+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % 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 01:55:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-08T01:55:50
% 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 2022-06-08T01:55:50
% 0.19/0.58
% 0.19/0.58
% 0.19/0.58 #||
% 0.19/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.59 ||#
% 0.19/0.59
% 0.19/0.59 ; Summary of computation:
% 0.19/0.59 ; 621 formulas have been input or derived (from 199 formulas).
% 0.19/0.59 ; 324 (52%) were retained. Of these,
% 0.19/0.59 ; 176 (54%) were simplified or subsumed later,
% 0.19/0.59 ; 148 (46%) are still being kept.
% 0.19/0.59 ;
% 0.19/0.59 ; Run time in seconds excluding printing time:
% 0.19/0.59 ; 0.014 13% Read assertion file (1 call)
% 0.19/0.59 ; 0.012 11% Assert (6 calls)
% 0.19/0.59 ; 0.018 16% Process new row (547 calls)
% 0.19/0.59 ; 0.003 3% Resolution (396 calls)
% 0.19/0.59 ; 0.005 5% Paramodulation (198 calls)
% 0.19/0.59 ; 0.001 1% Factoring (17 calls)
% 0.19/0.59 ; 0.000 0% Condensing (103 calls)
% 0.19/0.59 ; 0.009 8% Forward subsumption (103 calls)
% 0.19/0.59 ; 0.006 5% Backward subsumption (91 calls)
% 0.19/0.59 ; 0.000 0% Clause clause subsumption (57 calls)
% 0.19/0.59 ; 0.010 9% Forward simplification (455 calls)
% 0.19/0.59 ; 0.004 4% Backward simplification (274 calls)
% 0.19/0.59 ; 0.002 2% Ordering (1,561 calls)
% 0.19/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.59 ; 0.000 0% Purity testing (1 call)
% 0.19/0.59 ; 0.027 24% Other
% 0.19/0.59 ; 0.111 Total
% 0.19/0.59 ; 0.113 Real time
% 0.19/0.59 ;
% 0.19/0.59 ; Term-hash-array has 412 terms in all.
% 0.19/0.59 ; Feature-vector-row-index has 7 entries (69 at peak, 91 added, 84 deleted).
% 0.19/0.59 ; Feature-vector-row-index has 54 nodes (607 at peak, 798 added, 744 deleted).
% 0.19/0.59 ; Retrieved 12 possibly forward subsuming rows in 103 calls.
% 0.19/0.59 ; Retrieved 45 possibly backward subsumed rows in 91 calls.
% 0.19/0.59 ; Path-index has 280 entries (393 at peak, 486 added, 206 deleted).
% 0.19/0.59 ; Path-index has 152 nodes (170 at peak, 170 added, 18 deleted).
% 0.19/0.59 ; Trie-index has 280 entries (393 at peak, 486 added, 206 deleted).
% 0.19/0.59 ; Trie-index has 490 nodes (677 at peak, 816 added, 326 deleted).
% 0.19/0.59 ; Retrieved 176 generalization terms in 1,410 calls.
% 0.19/0.59 ; Retrieved 182 instance terms in 182 calls.
% 0.19/0.59 ; Retrieved 153 unifiable terms in 1,226 calls.
% 0.19/0.59 ;
% 0.19/0.59 ; The agenda of backward simplifiable rows to process has 15 entries:
% 0.19/0.59 ; 15 with value 0
% 0.19/0.59 ; The agenda of rows to process has 9 entries:
% 0.19/0.59 ; 3 with value 18 2 with value 19 4 with value 20
% 0.19/0.59 ; The agenda of rows to give has 8 entries:
% 0.19/0.59 ; 1 with value (4 10) 7 with value (4 25)
% 0.19/0.59 Evaluation took:
% 0.19/0.59 0.113 seconds of real time
% 0.19/0.59 0.099824 seconds of user run time
% 0.19/0.59 0.013921 seconds of system run time
% 0.19/0.59 0 calls to %EVAL
% 0.19/0.59 0 page faults and
% 0.19/0.59 7,308,912 bytes consed.
% 0.19/0.59 :PROOF-FOUND
% 0.19/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T01:55:50
% 0.19/0.59 :PROOF-FOUND
% 0.19/0.59 *
%------------------------------------------------------------------------------