TSTP Solution File: ALG081+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG081+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 0.59s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of clauses : 49 ( 40 unt; 9 nHn; 49 RR)
% Number of literals : 73 ( 72 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(1,axiom,
e10 != e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(2,axiom,
e10 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(14,axiom,
e20 != e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
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(18,axiom,
e22 != e23,
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) = e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(58,axiom,
op1(e12,e12) = e11,
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) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(76,axiom,
op2(e21,e20) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(77,axiom,
op2(e21,e21) = e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(80,axiom,
op2(e21,e24) = e23,
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) = e21,
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(105,negated_conjecture,
( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = 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(166,negated_conjecture,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(167,plain,
j(e21) = op1(j(e21),j(e20)),
inference('REWRITE',[status(thm)],[166,76,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(174,negated_conjecture,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(175,plain,
j(e23) = op1(j(e21),j(e24)),
inference('REWRITE',[status(thm)],[174,80,theory(equality)]) ).
cnf(192,negated_conjecture,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(193,plain,
j(e21) = op1(j(e23),j(e23)),
inference('REWRITE',[status(thm)],[192,89,theory(equality)]) ).
cnf(204,negated_conjecture,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(205,plain,
j(e20) = op1(j(e24),j(e24)),
inference('REWRITE',[status(thm)],[204,95,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(211,negated_conjecture,
j(h(e10)) = e10,
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(291,plain,
( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e20) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[205,105,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)]),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(318,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[211,305,theory(equality)]) ).
cnf(323,plain,
j(e21) = op1(j(e21),e10),
inference('REWRITE',[status(thm)],[167,318,theory(equality)]) ).
cnf(330,plain,
e10 = op1(j(e24),j(e24)),
inference('REWRITE',[status(thm)],[205,318,theory(equality)]) ).
cnf(337,plain,
( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13 ),
inference('REWRITE',[status(thm)],[291,1,318,theory(equality)]) ).
cnf(347,plain,
( j(e24) = e10
| j(e24) = e11
| j(e24) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[330,337,theory(equality)]),1,64,theory(equality)]) ).
cnf(349,plain,
( j(e24) = e10
| j(e24) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[330,347,theory(equality)]),1,58,theory(equality)]) ).
cnf(351,plain,
j(e24) = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[330,349,theory(equality)]),2,52,theory(equality)]) ).
cnf(353,plain,
j(e23) = j(e21),
inference('REWRITE',[status(thm)],[175,323,351,theory(equality)]) ).
cnf(355,plain,
j(e21) = j(e22),
inference('REWRITE',[status(thm)],[193,169,353,theory(equality)]) ).
cnf(357,plain,
$false,
inference('REWRITE',[status(thm)],[208,15,207,355,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG081+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 : Tue Jun 7 23:14:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T23:14:02
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-07T23:14:02
% 0.40/0.59
% 0.40/0.59
% 0.40/0.59 #||
% 0.40/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.59 % SZS output start Refutation
% See solution above
% 0.40/0.59 ||#
% 0.40/0.59
% 0.40/0.59 ; Summary of computation:
% 0.40/0.59 ; 675 formulas have been input or derived (from 198 formulas).
% 0.40/0.59 ; 357 (53%) were retained. Of these,
% 0.40/0.59 ; 190 (53%) were simplified or subsumed later,
% 0.40/0.59 ; 167 (47%) are still being kept.
% 0.40/0.59 ;
% 0.40/0.59 ; Run time in seconds excluding printing time:
% 0.40/0.59 ; 0.014 12% Read assertion file (1 call)
% 0.40/0.59 ; 0.012 10% Assert (6 calls)
% 0.40/0.59 ; 0.022 19% Process new row (566 calls)
% 0.40/0.59 ; 0.002 2% Resolution (394 calls)
% 0.40/0.59 ; 0.008 7% Paramodulation (197 calls)
% 0.40/0.59 ; 0.000 0% Factoring (16 calls)
% 0.40/0.59 ; 0.000 0% Condensing (135 calls)
% 0.40/0.59 ; 0.006 5% Forward subsumption (135 calls)
% 0.40/0.59 ; 0.005 4% Backward subsumption (119 calls)
% 0.40/0.59 ; 0.000 0% Clause clause subsumption (68 calls)
% 0.40/0.59 ; 0.007 6% Forward simplification (503 calls)
% 0.40/0.59 ; 0.009 8% Backward simplification (307 calls)
% 0.40/0.59 ; 0.007 6% Ordering (2,047 calls)
% 0.40/0.59 ; 0.001 1% Sortal reasoning (32 calls)
% 0.40/0.59 ; 0.000 0% Purity testing (1 call)
% 0.40/0.59 ; 0.022 19% Other
% 0.40/0.59 ; 0.115 Total
% 0.40/0.59 ; 0.118 Real time
% 0.40/0.59 ;
% 0.40/0.59 ; Term-hash-array has 456 terms in all.
% 0.40/0.59 ; Feature-vector-row-index has 34 entries (91 at peak, 119 added, 85 deleted).
% 0.40/0.59 ; Feature-vector-row-index has 270 nodes (789 at peak, 1,038 added, 768 deleted).
% 0.40/0.59 ; Retrieved 32 possibly forward subsuming rows in 135 calls.
% 0.40/0.59 ; Retrieved 36 possibly backward subsumed rows in 119 calls.
% 0.40/0.59 ; Path-index has 291 entries (405 at peak, 493 added, 202 deleted).
% 0.40/0.59 ; Path-index has 140 nodes (170 at peak, 170 added, 30 deleted).
% 0.40/0.59 ; Trie-index has 291 entries (405 at peak, 493 added, 202 deleted).
% 0.40/0.59 ; Trie-index has 483 nodes (691 at peak, 835 added, 352 deleted).
% 0.40/0.59 ; Retrieved 148 generalization terms in 1,795 calls.
% 0.40/0.59 ; Retrieved 187 instance terms in 187 calls.
% 0.40/0.59 ; Retrieved 180 unifiable terms in 1,219 calls.
% 0.40/0.59 ;
% 0.40/0.59 ; The agenda of backward simplifiable rows to process has 48 entries:
% 0.40/0.59 ; 48 with value 0
% 0.40/0.59 ; The agenda of rows to process has 9 entries:
% 0.40/0.59 ; 2 with value 17 1 with value 18 6 with value 20
% 0.40/0.59 ; The agenda of input rows to give has 3 entries:
% 0.40/0.59 ; 2 with value 7 1 with value 11
% 0.40/0.59 ; The agenda of rows to give has 30 entries:
% 0.40/0.59 ; 1 with value (4 10) 8 with value (4 34) 16 with value (4 35)
% 0.40/0.59 ; 5 with value (4 31)
% 0.40/0.59 Evaluation took:
% 0.40/0.59 0.118 seconds of real time
% 0.40/0.59 0.100447 seconds of user run time
% 0.40/0.59 0.018063 seconds of system run time
% 0.40/0.59 0 calls to %EVAL
% 0.40/0.59 0 page faults and
% 0.40/0.59 9,360,712 bytes consed.
% 0.40/0.59 :PROOF-FOUND
% 0.40/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T23:14:02
% 0.40/0.59 :PROOF-FOUND
% 0.40/0.59 *
%------------------------------------------------------------------------------