TSTP Solution File: ALG086+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG086+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 0.12s 0.47s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 29
% Syntax : Number of clauses : 51 ( 39 unt; 12 nHn; 51 RR)
% Number of literals : 81 ( 80 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(11,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(14,axiom,
e20 != e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(17,axiom,
e21 != 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(52,axiom,
op1(e11,e11) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(58,axiom,
op1(e12,e12) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(64,axiom,
op1(e13,e13) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(70,axiom,
op1(e14,e14) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(77,axiom,
op2(e21,e21) = e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(81,axiom,
op2(e22,e20) = e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(83,axiom,
op2(e22,e22) = e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(85,axiom,
op2(e22,e24) = 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) = e20,
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(102,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
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(168,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(169,plain,
j(e24) = op1(j(e21),j(e21)),
inference('REWRITE',[status(thm)],[168,77,theory(equality)]) ).
cnf(176,negated_conjecture,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(177,plain,
j(e22) = op1(j(e22),j(e20)),
inference('REWRITE',[status(thm)],[176,81,theory(equality)]) ).
cnf(184,negated_conjecture,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(185,plain,
j(e23) = op1(j(e22),j(e24)),
inference('REWRITE',[status(thm)],[184,85,theory(equality)]) ).
cnf(207,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(208,negated_conjecture,
h(j(e22)) = e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(209,negated_conjecture,
h(j(e23)) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(210,negated_conjecture,
h(j(e24)) = e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
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(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)]),14,95,theory(equality)]) ).
cnf(261,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e24) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,102,theory(equality)]),70,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)]),19,83,theory(equality)]) ).
cnf(305,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,303,theory(equality)]),17,77,theory(equality)]) ).
cnf(318,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[211,305,theory(equality)]) ).
cnf(325,plain,
j(e22) = op1(j(e22),e10),
inference('REWRITE',[status(thm)],[177,318,theory(equality)]) ).
cnf(375,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[210,261,theory(equality)]),14,305,theory(equality)]) ).
cnf(377,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e24) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,375,theory(equality)]),64,theory(equality)]) ).
cnf(392,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[210,377,theory(equality)]),14,305,theory(equality)]) ).
cnf(394,plain,
( j(e21) = e10
| j(e21) = e11
| j(e24) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,392,theory(equality)]),58,theory(equality)]) ).
cnf(409,plain,
( j(e21) = e10
| j(e21) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[210,394,theory(equality)]),14,305,theory(equality)]) ).
cnf(410,plain,
( j(e21) = e10
| h(e11) = e21 ),
inference('PARAMODULATE',[status(thm)],[207,409,theory(equality)]) ).
cnf(418,plain,
h(e11) = e21,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[207,410,theory(equality)]),11,305,theory(equality)]) ).
cnf(428,plain,
j(e21) = e11,
inference('REWRITE',[status(thm)],[212,418,theory(equality)]) ).
cnf(429,plain,
j(e24) = e10,
inference('REWRITE',[status(thm)],[169,52,428,theory(equality)]) ).
cnf(431,plain,
j(e23) = j(e22),
inference('REWRITE',[status(thm)],[185,325,429,theory(equality)]) ).
cnf(432,plain,
$false,
inference('REWRITE',[status(thm)],[209,18,208,431,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : ALG086+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.08 % Command : run-snark %s %d
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 600
% 0.09/0.27 % DateTime : Wed Jun 8 14:15:36 EDT 2022
% 0.09/0.27 % CPUTime :
% 0.12/0.35 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 *
% 0.12/0.35 *
% 0.12/0.36 #<PACKAGE "SNARK-USER">
% 0.12/0.36 *
% 0.12/0.36 SNARK-TPTP-OPTIONS
% 0.12/0.36 *
% 0.12/0.36 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.36 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.36 (USE-FACTORING :POS)
% 0.12/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.36 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.36 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.36 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.36 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.36 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.36 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.36 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.36 *
% 0.12/0.36 "."
% 0.12/0.36 *
% 0.12/0.36 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T14:15:37
% 0.12/0.36 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-08T14:15:37
% 0.12/0.47
% 0.12/0.47
% 0.12/0.47 #||
% 0.12/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.47 % SZS output start Refutation
% See solution above
% 0.12/0.47 ||#
% 0.12/0.47
% 0.12/0.47 ; Summary of computation:
% 0.12/0.47 ; 883 formulas have been input or derived (from 209 formulas).
% 0.12/0.47 ; 432 (49%) were retained. Of these,
% 0.12/0.47 ; 288 (67%) were simplified or subsumed later,
% 0.12/0.47 ; 144 (33%) are still being kept.
% 0.12/0.47 ;
% 0.12/0.47 ; Run time in seconds excluding printing time:
% 0.12/0.47 ; 0.008 7% Read assertion file (1 call)
% 0.12/0.47 ; 0.007 6% Assert (6 calls)
% 0.12/0.47 ; 0.021 19% Process new row (713 calls)
% 0.12/0.47 ; 0.002 2% Resolution (416 calls)
% 0.12/0.47 ; 0.008 7% Paramodulation (208 calls)
% 0.12/0.47 ; 0.000 0% Factoring (27 calls)
% 0.12/0.47 ; 0.000 0% Condensing (197 calls)
% 0.12/0.47 ; 0.013 12% Forward subsumption (197 calls)
% 0.12/0.47 ; 0.011 10% Backward subsumption (186 calls)
% 0.12/0.47 ; 0.001 1% Clause clause subsumption (104 calls)
% 0.12/0.47 ; 0.008 7% Forward simplification (632 calls)
% 0.12/0.47 ; 0.008 7% Backward simplification (382 calls)
% 0.12/0.47 ; 0.004 4% Ordering (2,847 calls)
% 0.12/0.47 ; 0.001 1% Sortal reasoning (32 calls)
% 0.12/0.47 ; 0.000 0% Purity testing (1 call)
% 0.12/0.47 ; 0.019 17% Other
% 0.12/0.47 ; 0.111 Total
% 0.12/0.47 ; 0.114 Real time
% 0.12/0.47 ;
% 0.12/0.47 ; Term-hash-array has 520 terms in all.
% 0.12/0.47 ; Feature-vector-row-index has 14 entries (105 at peak, 186 added, 172 deleted).
% 0.12/0.47 ; Feature-vector-row-index has 135 nodes (1,125 at peak, 1,913 added, 1,778 deleted).
% 0.12/0.47 ; Retrieved 19 possibly forward subsuming rows in 197 calls.
% 0.12/0.47 ; Retrieved 85 possibly backward subsumed rows in 186 calls.
% 0.12/0.47 ; Path-index has 259 entries (428 at peak, 580 added, 321 deleted).
% 0.12/0.47 ; Path-index has 134 nodes (170 at peak, 170 added, 36 deleted).
% 0.12/0.47 ; Trie-index has 259 entries (428 at peak, 580 added, 321 deleted).
% 0.12/0.47 ; Trie-index has 442 nodes (710 at peak, 967 added, 525 deleted).
% 0.12/0.47 ; Retrieved 237 generalization terms in 2,673 calls.
% 0.12/0.47 ; Retrieved 195 instance terms in 195 calls.
% 0.12/0.47 ; Retrieved 190 unifiable terms in 1,266 calls.
% 0.12/0.47 ;
% 0.12/0.47 ; The agenda of backward simplifiable rows to process has 102 entries:
% 0.12/0.47 ; 102 with value 0
% 0.12/0.47 ; The agenda of rows to process has 9 entries:
% 0.12/0.47 ; 1 with value 21 2 with value 23 4 with value 24
% 0.12/0.47 ; 2 with value 22
% 0.12/0.47 ; The agenda of input rows to give has 13 entries:
% 0.12/0.47 ; 2 with value 6 1 with value 7 10 with value 10
% 0.12/0.47 ; The agenda of rows to give has 11 entries:
% 0.12/0.47 ; 1 with value (4 14) 6 with value (4 35) 3 with value (4 50)
% 0.12/0.47 ; 1 with value (4 31)
% 0.12/0.47 Evaluation took:
% 0.12/0.47 0.114 seconds of real time
% 0.12/0.47 0.098217 seconds of user run time
% 0.12/0.47 0.015895 seconds of system run time
% 0.12/0.47 0 calls to %EVAL
% 0.12/0.47 0 page faults and
% 0.12/0.47 11,518,880 bytes consed.
% 0.12/0.47 :PROOF-FOUND
% 0.12/0.47 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T14:15:37
% 0.12/0.47 :PROOF-FOUND
% 0.12/0.47 *
%------------------------------------------------------------------------------