TSTP Solution File: LCL378-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL378-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 : 300s
% DateTime : Thu May 9 17:31:14 EDT 2024
% Result : Unsatisfiable 78.61s 78.78s
% Output : Refutation 78.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of clauses : 45 ( 32 unt; 0 nHn; 10 RR)
% Number of literals : 59 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 122 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_36,negated_conjecture,
~ is_a_theorem(implies(not(x),implies(x,y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_36) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X6,X5))
| ~ is_a_theorem(X6)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X12,X11),implies(implies(X11,X10),implies(X12,X10)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X22,X21))
| is_a_theorem(implies(implies(X21,X23),implies(X22,X23))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(not(X31),X32),X33),implies(X31,X33))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(c15,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
inference(resolution,[status(thm)],[c4,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c24,plain,
is_a_theorem(implies(implies(not(implies(X223,X222)),implies(X223,X222)),implies(implies(X222,X224),implies(X223,X224)))),
inference(resolution,[status(thm)],[c18,cn_1]) ).
cnf(c276,plain,
( ~ is_a_theorem(implies(not(implies(X4141,X4140)),implies(X4141,X4140)))
| is_a_theorem(implies(implies(X4140,X4142),implies(X4141,X4142))) ),
inference(resolution,[status(thm)],[c24,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(implies(X75,X77),implies(X76,X77)),X78),implies(implies(X76,X75),X78))),
inference(resolution,[status(thm)],[c4,cn_1]) ).
cnf(c72,plain,
( ~ is_a_theorem(implies(implies(implies(X712,X713),implies(X714,X713)),X711))
| is_a_theorem(implies(implies(X714,X712),X711)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c23,plain,
is_a_theorem(implies(implies(not(implies(X203,X202)),implies(X203,X202)),implies(implies(not(X203),X203),X202))),
inference(resolution,[status(thm)],[c18,c15]) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(implies(not(X50),X49),X51))
| is_a_theorem(implies(X50,X51)) ),
inference(resolution,[status(thm)],[c16,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X9)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c44,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,[status(thm)],[c21,cn_2]) ).
cnf(c56,plain,
is_a_theorem(implies(not(implies(X60,X60)),X61)),
inference(resolution,[status(thm)],[c44,c1]) ).
cnf(c59,plain,
is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
inference(resolution,[status(thm)],[c56,c4]) ).
cnf(c124,plain,
is_a_theorem(implies(X117,implies(not(implies(X119,X119)),X118))),
inference(resolution,[status(thm)],[c59,c21]) ).
cnf(c126,plain,
is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X214),X217),implies(X216,X217))),
inference(resolution,[status(thm)],[c124,c4]) ).
cnf(c255,plain,
( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X219),X218))
| is_a_theorem(implies(X220,X218)) ),
inference(resolution,[status(thm)],[c126,condensed_detachment]) ).
cnf(c268,plain,
is_a_theorem(implies(X248,implies(implies(not(X249),X249),X249))),
inference(resolution,[status(thm)],[c255,c23]) ).
cnf(c301,plain,
is_a_theorem(implies(implies(implies(implies(not(X1346),X1346),X1346),X1348),implies(X1347,X1348))),
inference(resolution,[status(thm)],[c268,c4]) ).
cnf(c1389,plain,
is_a_theorem(implies(implies(X2035,implies(not(X2037),X2037)),implies(X2036,implies(X2035,X2037)))),
inference(resolution,[status(thm)],[c301,c72]) ).
cnf(c2174,plain,
( ~ is_a_theorem(implies(X10972,implies(not(X10973),X10973)))
| is_a_theorem(implies(X10971,implies(X10972,X10973))) ),
inference(resolution,[status(thm)],[c1389,condensed_detachment]) ).
cnf(c17,plain,
is_a_theorem(implies(implies(implies(implies(not(X130),X130),X129),X128),implies(implies(X130,X129),X128))),
inference(resolution,[status(thm)],[c15,c4]) ).
cnf(c136,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1752),X1752),X1751),X1750))
| is_a_theorem(implies(implies(X1752,X1751),X1750)) ),
inference(resolution,[status(thm)],[c17,condensed_detachment]) ).
cnf(c265,plain,
is_a_theorem(implies(X225,implies(X226,X226))),
inference(resolution,[status(thm)],[c255,cn_2]) ).
cnf(c282,plain,
is_a_theorem(implies(implies(implies(X298,X298),X300),implies(X299,X300))),
inference(resolution,[status(thm)],[c265,c4]) ).
cnf(c685,plain,
is_a_theorem(implies(implies(X719,X718),implies(X720,implies(X719,X718)))),
inference(resolution,[status(thm)],[c72,c282]) ).
cnf(c718,plain,
is_a_theorem(implies(X724,implies(X726,implies(not(X724),X725)))),
inference(resolution,[status(thm)],[c685,c21]) ).
cnf(c721,plain,
is_a_theorem(implies(implies(implies(X1470,implies(not(X1472),X1473)),X1471),implies(X1472,X1471))),
inference(resolution,[status(thm)],[c718,c4]) ).
cnf(c1522,plain,
( ~ is_a_theorem(implies(implies(X2308,implies(not(X2306),X2307)),X2305))
| is_a_theorem(implies(X2306,X2305)) ),
inference(resolution,[status(thm)],[c721,condensed_detachment]) ).
cnf(c2458,plain,
is_a_theorem(implies(X2323,implies(X2322,implies(X2321,X2323)))),
inference(resolution,[status(thm)],[c1522,c1389]) ).
cnf(c2531,plain,
is_a_theorem(implies(implies(implies(X2651,implies(X2652,X2653)),X2654),implies(X2653,X2654))),
inference(resolution,[status(thm)],[c2458,c4]) ).
cnf(c3193,plain,
is_a_theorem(implies(implies(implies(X2819,X2821),X2820),implies(X2821,X2820))),
inference(resolution,[status(thm)],[c2531,c136]) ).
cnf(c3622,plain,
( ~ is_a_theorem(implies(implies(X2926,X2927),X2925))
| is_a_theorem(implies(X2927,X2925)) ),
inference(resolution,[status(thm)],[c3193,condensed_detachment]) ).
cnf(c2177,plain,
is_a_theorem(implies(implies(not(X15615),X15614),implies(X15616,implies(implies(X15614,X15615),X15615)))),
inference(resolution,[status(thm)],[c1389,c72]) ).
cnf(c31691,plain,
is_a_theorem(implies(X15623,implies(X15622,implies(implies(X15623,X15621),X15621)))),
inference(resolution,[status(thm)],[c2177,c3622]) ).
cnf(c31777,plain,
is_a_theorem(implies(X15653,implies(X15654,implies(implies(X15654,X15655),X15655)))),
inference(resolution,[status(thm)],[c31691,c2174]) ).
cnf(c32391,plain,
is_a_theorem(implies(implies(implies(implies(X19707,X19706),X19706),X19705),implies(X19707,X19705))),
inference(resolution,[status(thm)],[c31777,c276]) ).
cnf(c47026,plain,
( ~ is_a_theorem(implies(implies(implies(X21108,X21106),X21106),X21107))
| is_a_theorem(implies(X21108,X21107)) ),
inference(resolution,[status(thm)],[c32391,condensed_detachment]) ).
cnf(c51356,plain,
is_a_theorem(implies(not(X21150),implies(X21150,X21149))),
inference(resolution,[status(thm)],[c47026,c16]) ).
cnf(c51639,plain,
$false,
inference(resolution,[status(thm)],[c51356,prove_cn_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL378-1 : TPTP v8.1.2. Released v2.3.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed May 8 14:17:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 78.61/78.78 % Version: 1.5
% 78.61/78.78 % SZS status Unsatisfiable
% 78.61/78.78 % SZS output start CNFRefutation
% See solution above
% 78.61/78.78
% 78.61/78.78 % Initial clauses : 5
% 78.61/78.78 % Processed clauses : 978
% 78.61/78.78 % Factors computed : 0
% 78.61/78.78 % Resolvents computed: 51671
% 78.61/78.78 % Tautologies deleted: 1
% 78.61/78.78 % Forward subsumed : 5258
% 78.61/78.78 % Backward subsumed : 95
% 78.61/78.78 % -------- CPU Time ---------
% 78.61/78.78 % User time : 78.324 s
% 78.61/78.78 % System time : 0.100 s
% 78.61/78.78 % Total time : 78.424 s
%------------------------------------------------------------------------------