TSTP Solution File: LCL056-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL056-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 17:30:23 EDT 2024
% Result : Unsatisfiable 70.29s 70.45s
% Output : Refutation 70.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of clauses : 52 ( 36 unt; 0 nHn; 10 RR)
% Number of literals : 69 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 142 ( 48 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_2]) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X10,X12),implies(implies(X12,X11),implies(X10,X11)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X30,X32))
| is_a_theorem(implies(implies(X32,X31),implies(X30,X31))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(c20,plain,
is_a_theorem(implies(implies(implies(not(X35),X36),X37),implies(X35,X37))),
inference(resolution,[status(thm)],[c5,cn_3]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(implies(X241,X239),X242),implies(implies(implies(not(X241),X240),X239),X242))),
inference(resolution,[status(thm)],[c20,c5]) ).
cnf(c18,plain,
is_a_theorem(implies(implies(X33,X34),implies(implies(not(X33),X33),X34))),
inference(resolution,[status(thm)],[c5,cn_2]) ).
cnf(c26,plain,
( ~ is_a_theorem(implies(implies(not(X63),X62),X61))
| is_a_theorem(implies(X63,X61)) ),
inference(resolution,[status(thm)],[c20,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(c55,plain,
is_a_theorem(implies(X64,X64)),
inference(resolution,[status(thm)],[c26,cn_2]) ).
cnf(c59,plain,
is_a_theorem(implies(not(implies(X73,X73)),X74)),
inference(resolution,[status(thm)],[c55,c1]) ).
cnf(c71,plain,
is_a_theorem(implies(implies(X120,X121),implies(not(implies(X122,X122)),X121))),
inference(resolution,[status(thm)],[c59,c5]) ).
cnf(c116,plain,
is_a_theorem(implies(X123,implies(not(implies(X124,X124)),X125))),
inference(resolution,[status(thm)],[c71,c26]) ).
cnf(c123,plain,
is_a_theorem(implies(implies(implies(not(implies(X216,X216)),X215),X213),implies(X214,X213))),
inference(resolution,[status(thm)],[c116,c5]) ).
cnf(c249,plain,
( ~ is_a_theorem(implies(implies(not(implies(X217,X217)),X218),X219))
| is_a_theorem(implies(X220,X219)) ),
inference(resolution,[status(thm)],[c123,condensed_detachment]) ).
cnf(c253,plain,
is_a_theorem(implies(X222,implies(X221,X221))),
inference(resolution,[status(thm)],[c249,cn_2]) ).
cnf(c267,plain,
is_a_theorem(implies(implies(implies(X266,X266),X267),implies(X268,X267))),
inference(resolution,[status(thm)],[c253,c5]) ).
cnf(c314,plain,
( ~ is_a_theorem(implies(implies(X269,X269),X270))
| is_a_theorem(implies(X271,X270)) ),
inference(resolution,[status(thm)],[c267,condensed_detachment]) ).
cnf(c327,plain,
is_a_theorem(implies(X316,implies(implies(not(X315),X315),X315))),
inference(resolution,[status(thm)],[c314,c18]) ).
cnf(c380,plain,
is_a_theorem(implies(implies(implies(implies(not(X933),X933),X933),X934),implies(X935,X934))),
inference(resolution,[status(thm)],[c327,c5]) ).
cnf(c811,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1151),X1151),X1151),X1152))
| is_a_theorem(implies(X1153,X1152)) ),
inference(resolution,[status(thm)],[c380,condensed_detachment]) ).
cnf(c923,plain,
is_a_theorem(implies(X1225,implies(implies(implies(not(not(X1227)),X1226),X1227),X1227))),
inference(resolution,[status(thm)],[c811,c25]) ).
cnf(c997,plain,
is_a_theorem(implies(implies(implies(not(not(X1228)),X1229),X1228),X1228)),
inference(resolution,[status(thm)],[c923,c0]) ).
cnf(c23,plain,
( ~ is_a_theorem(implies(X44,X43))
| is_a_theorem(implies(implies(not(X44),X44),X43)) ),
inference(resolution,[status(thm)],[c18,condensed_detachment]) ).
cnf(c36,plain,
is_a_theorem(implies(implies(not(implies(X387,X389)),implies(X387,X389)),implies(implies(X389,X388),implies(X387,X388)))),
inference(resolution,[status(thm)],[c23,cn_1]) ).
cnf(c448,plain,
( ~ is_a_theorem(implies(not(implies(X5912,X5911)),implies(X5912,X5911)))
| is_a_theorem(implies(implies(X5911,X5913),implies(X5912,X5913))) ),
inference(resolution,[status(thm)],[c36,condensed_detachment]) ).
cnf(c19,plain,
is_a_theorem(implies(implies(implies(implies(X169,X168),implies(X167,X168)),X170),implies(implies(X167,X169),X170))),
inference(resolution,[status(thm)],[c5,cn_1]) ).
cnf(c206,plain,
( ~ is_a_theorem(implies(implies(implies(X2875,X2876),implies(X2873,X2876)),X2874))
| is_a_theorem(implies(implies(X2873,X2875),X2874)) ),
inference(resolution,[status(thm)],[c19,condensed_detachment]) ).
cnf(c2934,plain,
is_a_theorem(implies(implies(X4476,implies(not(X4474),X4474)),implies(X4475,implies(X4476,X4474)))),
inference(resolution,[status(thm)],[c206,c380]) ).
cnf(c6191,plain,
( ~ is_a_theorem(implies(X6155,implies(not(X6154),X6154)))
| is_a_theorem(implies(X6156,implies(X6155,X6154))) ),
inference(resolution,[status(thm)],[c2934,condensed_detachment]) ).
cnf(c6170,plain,
is_a_theorem(implies(implies(not(X5998),X5999),implies(X6000,implies(implies(X5999,X5998),X5998)))),
inference(resolution,[status(thm)],[c2934,c206]) ).
cnf(c329,plain,
is_a_theorem(implies(X281,implies(X282,implies(X280,X280)))),
inference(resolution,[status(thm)],[c314,c267]) ).
cnf(c348,plain,
is_a_theorem(implies(implies(implies(X431,implies(X432,X432)),X429),implies(X430,X429))),
inference(resolution,[status(thm)],[c329,c5]) ).
cnf(c473,plain,
( ~ is_a_theorem(implies(implies(X474,implies(X471,X471)),X473))
| is_a_theorem(implies(X472,X473)) ),
inference(resolution,[status(thm)],[c348,condensed_detachment]) ).
cnf(c522,plain,
is_a_theorem(implies(X549,implies(not(implies(X548,implies(X551,X551))),X550))),
inference(resolution,[status(thm)],[c473,cn_3]) ).
cnf(c558,plain,
is_a_theorem(implies(implies(implies(not(implies(X7036,implies(X7035,X7035))),X7037),X7033),implies(X7034,X7033))),
inference(resolution,[status(thm)],[c522,c5]) ).
cnf(c8861,plain,
is_a_theorem(implies(X6009,implies(X6008,implies(implies(X6010,X6009),X6009)))),
inference(resolution,[status(thm)],[c6170,c26]) ).
cnf(c9783,plain,
is_a_theorem(implies(X6200,implies(X6199,implies(implies(X6201,X6199),X6199)))),
inference(resolution,[status(thm)],[c6191,c8861]) ).
cnf(c9860,plain,
is_a_theorem(implies(implies(implies(implies(X7030,X7032),X7032),X7031),implies(X7032,X7031))),
inference(resolution,[status(thm)],[c9783,c448]) ).
cnf(c11944,plain,
( ~ is_a_theorem(implies(implies(implies(X7304,X7303),X7303),X7302))
| is_a_theorem(implies(X7303,X7302)) ),
inference(resolution,[status(thm)],[c9860,condensed_detachment]) ).
cnf(c12252,plain,
is_a_theorem(implies(X7308,implies(X7309,X7308))),
inference(resolution,[status(thm)],[c11944,c558]) ).
cnf(c12436,plain,
is_a_theorem(implies(implies(implies(X7743,X7744),X7742),implies(X7744,X7742))),
inference(resolution,[status(thm)],[c12252,c5]) ).
cnf(c14461,plain,
( ~ is_a_theorem(implies(implies(X7982,X7980),X7981))
| is_a_theorem(implies(X7980,X7981)) ),
inference(resolution,[status(thm)],[c12436,condensed_detachment]) ).
cnf(c14876,plain,
is_a_theorem(implies(X8308,implies(X8310,implies(implies(X8308,X8309),X8309)))),
inference(resolution,[status(thm)],[c14461,c6170]) ).
cnf(c15310,plain,
is_a_theorem(implies(X8378,implies(X8376,implies(implies(X8376,X8377),X8377)))),
inference(resolution,[status(thm)],[c14876,c6191]) ).
cnf(c16225,plain,
is_a_theorem(implies(implies(implies(implies(X15948,X15950),X15950),X15949),implies(X15948,X15949))),
inference(resolution,[status(thm)],[c15310,c448]) ).
cnf(c36520,plain,
( ~ is_a_theorem(implies(implies(implies(X19270,X19268),X19268),X19269))
| is_a_theorem(implies(X19270,X19269)) ),
inference(resolution,[status(thm)],[c16225,condensed_detachment]) ).
cnf(c45698,plain,
is_a_theorem(implies(not(not(X19287)),X19287)),
inference(resolution,[status(thm)],[c36520,c997]) ).
cnf(c45848,plain,
$false,
inference(resolution,[status(thm)],[c45698,prove_cn_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL056-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n012.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 : 300
% 0.13/0.34 % DateTime : Wed May 8 14:17:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 70.29/70.45 % Version: 1.5
% 70.29/70.45 % SZS status Unsatisfiable
% 70.29/70.45 % SZS output start CNFRefutation
% See solution above
% 70.29/70.45
% 70.29/70.45 % Initial clauses : 5
% 70.29/70.45 % Processed clauses : 987
% 70.29/70.45 % Factors computed : 0
% 70.29/70.45 % Resolvents computed: 45921
% 70.29/70.45 % Tautologies deleted: 1
% 70.29/70.45 % Forward subsumed : 4796
% 70.29/70.45 % Backward subsumed : 67
% 70.29/70.45 % -------- CPU Time ---------
% 70.29/70.45 % User time : 69.995 s
% 70.29/70.45 % System time : 0.106 s
% 70.29/70.45 % Total time : 70.101 s
%------------------------------------------------------------------------------