TSTP Solution File: ALG078+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG078+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 17:59:49 EDT 2022
% Result : Theorem 0.40s 0.62s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of clauses : 56 ( 44 unt; 12 nHn; 56 RR)
% Number of literals : 86 ( 85 equ; 9 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(4,axiom,
e10 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(8,axiom,
e12 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
e20 != e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(12,axiom,
e20 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(13,axiom,
e20 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(14,axiom,
e20 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(15,axiom,
e21 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(16,axiom,
e21 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(18,axiom,
e22 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
op1(e10,e10) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(52,axiom,
op1(e11,e11) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(56,axiom,
op1(e12,e10) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(60,axiom,
op1(e12,e14) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(70,axiom,
op1(e14,e14) = e10,
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) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(83,axiom,
op2(e22,e22) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(89,axiom,
op2(e23,e23) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(95,axiom,
op2(e24,e24) = e20,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(106,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(119,plain,
h(e14) = op2(h(e11),h(e11)),
inference('REWRITE',[status(thm)],[118,52,theory(equality)]) ).
cnf(126,negated_conjecture,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(127,plain,
h(e12) = op2(h(e12),h(e10)),
inference('REWRITE',[status(thm)],[126,56,theory(equality)]) ).
cnf(134,negated_conjecture,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(135,plain,
h(e13) = op2(h(e12),h(e14)),
inference('REWRITE',[status(thm)],[134,60,theory(equality)]) ).
cnf(154,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(155,plain,
h(e10) = op2(h(e14),h(e14)),
inference('REWRITE',[status(thm)],[154,70,theory(equality)]) ).
cnf(204,negated_conjecture,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(205,plain,
j(e20) = op1(j(e24),j(e24)),
inference('REWRITE',[status(thm)],[204,95,theory(equality)]) ).
cnf(211,negated_conjecture,
j(h(e10)) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(212,negated_conjecture,
j(h(e11)) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(213,negated_conjecture,
j(h(e12)) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(214,negated_conjecture,
j(h(e13)) = e13,
file('/export/starexec/sandbox/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(218,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| j(e24) = e11 ),
inference('PARAMODULATE',[status(thm)],[212,97,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)]),18,83,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(312,plain,
h(e12) = op2(h(e12),e20),
inference('REWRITE',[status(thm)],[127,305,theory(equality)]) ).
cnf(317,plain,
e20 = op2(h(e14),h(e14)),
inference('REWRITE',[status(thm)],[155,305,theory(equality)]) ).
cnf(318,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[211,305,theory(equality)]) ).
cnf(330,plain,
e10 = op1(j(e24),j(e24)),
inference('REWRITE',[status(thm)],[205,318,theory(equality)]) ).
cnf(343,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[330,218,theory(equality)]),4,52,theory(equality)]) ).
cnf(345,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e14) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[119,343,theory(equality)]),89,theory(equality)]) ).
cnf(359,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[317,345,theory(equality)]),12,77,theory(equality)]) ).
cnf(361,plain,
( h(e11) = e20
| h(e11) = e21
| h(e14) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[119,359,theory(equality)]),83,theory(equality)]) ).
cnf(375,plain,
( h(e11) = e20
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[317,361,theory(equality)]),11,89,theory(equality)]) ).
cnf(377,plain,
( h(e11) = e20
| h(e14) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[119,375,theory(equality)]),77,theory(equality)]) ).
cnf(391,plain,
h(e11) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[317,377,theory(equality)]),13,83,theory(equality)]) ).
cnf(392,plain,
h(e14) = e20,
inference('REWRITE',[status(thm)],[119,71,391,theory(equality)]) ).
cnf(394,plain,
h(e13) = h(e12),
inference('REWRITE',[status(thm)],[135,312,392,theory(equality)]) ).
cnf(395,plain,
$false,
inference('REWRITE',[status(thm)],[214,8,213,394,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG078+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 22:15:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T22:15:21
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-07T22:15:21
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62 #||
% 0.40/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.62 % SZS output start Refutation
% See solution above
% 0.40/0.62 ||#
% 0.40/0.62
% 0.40/0.62 ; Summary of computation:
% 0.40/0.62 ; 771 formulas have been input or derived (from 205 formulas).
% 0.40/0.62 ; 395 (51%) were retained. Of these,
% 0.40/0.62 ; 229 (58%) were simplified or subsumed later,
% 0.40/0.62 ; 166 (42%) are still being kept.
% 0.40/0.62 ;
% 0.40/0.62 ; Run time in seconds excluding printing time:
% 0.40/0.62 ; 0.014 9% Read assertion file (1 call)
% 0.40/0.62 ; 0.011 7% Assert (6 calls)
% 0.40/0.62 ; 0.029 19% Process new row (649 calls)
% 0.40/0.62 ; 0.003 2% Resolution (408 calls)
% 0.40/0.62 ; 0.012 8% Paramodulation (204 calls)
% 0.40/0.62 ; 0.001 1% Factoring (23 calls)
% 0.40/0.62 ; 0.000 0% Condensing (179 calls)
% 0.40/0.62 ; 0.012 8% Forward subsumption (179 calls)
% 0.40/0.62 ; 0.010 7% Backward subsumption (159 calls)
% 0.40/0.62 ; 0.000 0% Clause clause subsumption (105 calls)
% 0.40/0.62 ; 0.017 11% Forward simplification (577 calls)
% 0.40/0.62 ; 0.007 5% Backward simplification (345 calls)
% 0.40/0.62 ; 0.004 3% Ordering (2,461 calls)
% 0.40/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.62 ; 0.000 0% Purity testing (1 call)
% 0.40/0.62 ; 0.029 19% Other
% 0.40/0.62 ; 0.149 Total
% 0.40/0.62 ; 0.152 Real time
% 0.40/0.62 ;
% 0.40/0.62 ; Term-hash-array has 513 terms in all.
% 0.40/0.62 ; Feature-vector-row-index has 33 entries (91 at peak, 159 added, 126 deleted).
% 0.40/0.62 ; Feature-vector-row-index has 345 nodes (815 at peak, 1,428 added, 1,083 deleted).
% 0.40/0.62 ; Retrieved 37 possibly forward subsuming rows in 179 calls.
% 0.40/0.62 ; Retrieved 68 possibly backward subsumed rows in 159 calls.
% 0.40/0.62 ; Path-index has 291 entries (405 at peak, 562 added, 271 deleted).
% 0.40/0.62 ; Path-index has 140 nodes (170 at peak, 170 added, 30 deleted).
% 0.40/0.62 ; Trie-index has 291 entries (405 at peak, 562 added, 271 deleted).
% 0.40/0.62 ; Trie-index has 488 nodes (691 at peak, 944 added, 456 deleted).
% 0.40/0.62 ; Retrieved 193 generalization terms in 2,206 calls.
% 0.40/0.62 ; Retrieved 185 instance terms in 185 calls.
% 0.40/0.62 ; Retrieved 189 unifiable terms in 1,252 calls.
% 0.40/0.62 ;
% 0.40/0.62 ; The agenda of backward simplifiable rows to process has 60 entries:
% 0.40/0.62 ; 60 with value 0
% 0.40/0.62 ; The agenda of rows to process has 9 entries:
% 0.40/0.62 ; 2 with value 21 6 with value 24 1 with value 34
% 0.40/0.62 ; The agenda of input rows to give has 3 entries:
% 0.40/0.62 ; 1 with value 6 1 with value 7 1 with value 10
% 0.40/0.62 ; The agenda of rows to give has 29 entries:
% 0.40/0.62 ; 1 with value (4 14) 6 with value (4 34) 18 with value (4 35)
% 0.40/0.62 ; 4 with value (4 31)
% 0.40/0.62 Evaluation took:
% 0.40/0.62 0.153 seconds of real time
% 0.40/0.62 0.13952 seconds of user run time
% 0.40/0.62 0.013033 seconds of system run time
% 0.40/0.62 0 calls to %EVAL
% 0.40/0.62 0 page faults and
% 0.40/0.62 10,703,960 bytes consed.
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T22:15:21
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 *
%------------------------------------------------------------------------------