TSTP Solution File: LCL055-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL055-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 : Sun Jul 17 13:51:43 EDT 2022
% Result : Unsatisfiable 119.71s 119.97s
% Output : Refutation 119.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_37,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
input ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X28,X26))
| is_a_theorem(implies(implies(X26,X27),implies(X28,X27))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
input ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,status(thm),[condensed_detachment,cn_2]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(not(X33),X32),X31),implies(X33,X31))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(X184,X183),X182),implies(implies(implies(not(X184),X181),X183),X182))),
inference(resolution,status(thm),[c14,c4]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X51),X49),X50))
| is_a_theorem(implies(X51,X50)) ),
inference(resolution,status(thm),[c14,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X9)
| is_a_theorem(implies(not(X9),X8)) ),
inference(resolution,status(thm),[condensed_detachment,cn_3]) ).
cnf(c43,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,status(thm),[c20,cn_2]) ).
cnf(c55,plain,
is_a_theorem(implies(not(implies(X60,X60)),X61)),
inference(resolution,status(thm),[c43,c1]) ).
cnf(c63,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,status(thm),[c55,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X118,implies(not(implies(X117,X117)),X119))),
inference(resolution,status(thm),[c63,c20]) ).
cnf(c132,plain,
is_a_theorem(implies(implies(implies(not(implies(X216,X216)),X219),X217),implies(X218,X217))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c251,plain,
( ~ is_a_theorem(implies(implies(not(implies(X223,X223)),X222),X220))
| is_a_theorem(implies(X221,X220)) ),
inference(resolution,status(thm),[c132,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
inference(resolution,status(thm),[c4,cn_2]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(implies(not(X34),X34),X35)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c24,plain,
is_a_theorem(implies(implies(not(implies(X224,X225)),implies(X224,X225)),implies(implies(not(X224),X224),X225))),
inference(resolution,status(thm),[c17,c13]) ).
cnf(c277,plain,
is_a_theorem(implies(X249,implies(implies(not(X250),X250),X250))),
inference(resolution,status(thm),[c24,c251]) ).
cnf(c307,plain,
is_a_theorem(implies(implies(implies(implies(not(X816),X816),X816),X815),implies(X814,X815))),
inference(resolution,status(thm),[c277,c4]) ).
cnf(c708,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1428),X1428),X1428),X1426))
| is_a_theorem(implies(X1427,X1426)) ),
inference(resolution,status(thm),[c307,condensed_detachment]) ).
cnf(c1491,plain,
is_a_theorem(implies(X1520,implies(implies(implies(not(not(X1519)),X1518),X1519),X1519))),
inference(resolution,status(thm),[c708,c22]) ).
cnf(c1566,plain,
is_a_theorem(implies(implies(implies(not(not(X1522)),X1521),X1522),X1522)),
inference(resolution,status(thm),[c1491,c0]) ).
cnf(c1585,plain,
( ~ is_a_theorem(implies(implies(not(not(X1531)),X1530),X1531))
| is_a_theorem(X1531) ),
inference(resolution,status(thm),[c1566,condensed_detachment]) ).
cnf(c265,plain,
is_a_theorem(implies(X226,implies(X227,X227))),
inference(resolution,status(thm),[c251,cn_2]) ).
cnf(c287,plain,
is_a_theorem(implies(implies(implies(X298,X298),X297),implies(X296,X297))),
inference(resolution,status(thm),[c265,c4]) ).
cnf(c363,plain,
( ~ is_a_theorem(implies(implies(X303,X303),X302))
| is_a_theorem(implies(X304,X302)) ),
inference(resolution,status(thm),[c287,condensed_detachment]) ).
cnf(c384,plain,
is_a_theorem(implies(X313,implies(X315,implies(X314,X314)))),
inference(resolution,status(thm),[c363,c287]) ).
cnf(c397,plain,
is_a_theorem(implies(implies(implies(X437,implies(X436,X436)),X435),implies(X434,X435))),
inference(resolution,status(thm),[c384,c4]) ).
cnf(c467,plain,
( ~ is_a_theorem(implies(implies(X472,implies(X473,X473)),X471))
| is_a_theorem(implies(X474,X471)) ),
inference(resolution,status(thm),[c397,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(implies(X93,X94),implies(X95,X94)),X92),implies(implies(X95,X93),X92))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c87,plain,
( ~ is_a_theorem(implies(implies(implies(X927,X925),implies(X926,X925)),X924))
| is_a_theorem(implies(implies(X926,X927),X924)) ),
inference(resolution,status(thm),[c15,condensed_detachment]) ).
cnf(c811,plain,
is_a_theorem(implies(implies(X1891,implies(not(X1892),X1892)),implies(X1890,implies(X1891,X1892)))),
inference(resolution,status(thm),[c87,c307]) ).
cnf(c1929,plain,
is_a_theorem(implies(implies(not(X2335),X2336),implies(X2337,implies(implies(X2336,X2335),X2335)))),
inference(resolution,status(thm),[c811,c87]) ).
cnf(c2461,plain,
is_a_theorem(implies(X2354,implies(X2353,implies(implies(implies(X2352,X2352),X2351),X2351)))),
inference(resolution,status(thm),[c1929,c467]) ).
cnf(c2638,plain,
is_a_theorem(implies(X2355,implies(implies(implies(X2356,X2356),X2357),X2357))),
inference(resolution,status(thm),[c2461,c1585]) ).
cnf(c2660,plain,
is_a_theorem(implies(implies(implies(X2358,X2358),X2359),X2359)),
inference(resolution,status(thm),[c2638,c1585]) ).
cnf(c236,plain,
( ~ is_a_theorem(implies(implies(X3363,X3365),X3366))
| is_a_theorem(implies(implies(implies(not(X3363),X3364),X3365),X3366)) ),
inference(resolution,status(thm),[c22,condensed_detachment]) ).
cnf(c4194,plain,
is_a_theorem(implies(implies(implies(not(implies(X3374,X3374)),X3373),X3372),X3372)),
inference(resolution,status(thm),[c236,c2660]) ).
cnf(c4254,plain,
( ~ is_a_theorem(implies(implies(not(implies(X3429,X3429)),X3428),X3427))
| is_a_theorem(X3427) ),
inference(resolution,status(thm),[c4194,condensed_detachment]) ).
cnf(c1931,plain,
( ~ is_a_theorem(implies(X3753,implies(not(X3755),X3755)))
| is_a_theorem(implies(X3754,implies(X3753,X3755))) ),
inference(resolution,status(thm),[c811,condensed_detachment]) ).
cnf(c4995,plain,
is_a_theorem(implies(X4117,implies(implies(implies(X4115,implies(X4116,X4116)),X4114),X4114))),
inference(resolution,status(thm),[c1931,c397]) ).
cnf(c6005,plain,
is_a_theorem(implies(implies(implies(X4201,implies(X4200,X4200)),X4199),X4199)),
inference(resolution,status(thm),[c4995,c4254]) ).
cnf(c6222,plain,
( ~ is_a_theorem(implies(implies(X4254,implies(X4253,X4253)),X4255))
| is_a_theorem(X4255) ),
inference(resolution,status(thm),[c6005,condensed_detachment]) ).
cnf(c2452,plain,
is_a_theorem(implies(X2339,implies(X2338,implies(implies(X2340,X2339),X2339)))),
inference(resolution,status(thm),[c1929,c20]) ).
cnf(c4958,plain,
is_a_theorem(implies(X3795,implies(X3794,implies(implies(X3793,X3794),X3794)))),
inference(resolution,status(thm),[c1931,c2452]) ).
cnf(c5096,plain,
is_a_theorem(implies(X3798,implies(implies(X3799,X3798),X3798))),
inference(resolution,status(thm),[c4958,c4254]) ).
cnf(c5154,plain,
is_a_theorem(implies(implies(implies(implies(X4659,X4657),X4657),X4658),implies(X4657,X4658))),
inference(resolution,status(thm),[c5096,c4]) ).
cnf(c7064,plain,
is_a_theorem(implies(implies(X4884,implies(X4883,X4882)),implies(X4882,implies(X4884,X4882)))),
inference(resolution,status(thm),[c5154,c87]) ).
cnf(c7323,plain,
is_a_theorem(implies(X4886,implies(X4885,X4886))),
inference(resolution,status(thm),[c7064,c6222]) ).
cnf(c7356,plain,
is_a_theorem(implies(implies(implies(X5140,X5142),X5141),implies(X5142,X5141))),
inference(resolution,status(thm),[c7323,c4]) ).
cnf(c7998,plain,
( ~ is_a_theorem(implies(implies(X5301,X5302),X5303))
| is_a_theorem(implies(X5302,X5303)) ),
inference(resolution,status(thm),[c7356,condensed_detachment]) ).
cnf(c8342,plain,
is_a_theorem(implies(X5528,implies(X5529,implies(implies(X5528,X5527),X5527)))),
inference(resolution,status(thm),[c7998,c1929]) ).
cnf(c9289,plain,
is_a_theorem(implies(X5663,implies(X5662,implies(implies(X5662,X5664),X5664)))),
inference(resolution,status(thm),[c8342,c1931]) ).
cnf(c9813,plain,
is_a_theorem(implies(X5666,implies(implies(X5666,X5665),X5665))),
inference(resolution,status(thm),[c9289,c4254]) ).
cnf(c9855,plain,
( ~ is_a_theorem(X5685)
| is_a_theorem(implies(implies(X5685,X5684),X5684)) ),
inference(resolution,status(thm),[c9813,condensed_detachment]) ).
cnf(c10031,plain,
is_a_theorem(implies(implies(implies(X7214,implies(not(X7214),X7213)),X7215),X7215)),
inference(resolution,status(thm),[c9855,cn_3]) ).
cnf(c14331,plain,
( ~ is_a_theorem(implies(implies(X8244,implies(not(X8244),X8243)),X8245))
| is_a_theorem(X8245) ),
inference(resolution,status(thm),[c10031,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(not(implies(X263,X261)),implies(X263,X261)),implies(implies(X261,X262),implies(X263,X262)))),
inference(resolution,status(thm),[c17,cn_1]) ).
cnf(c327,plain,
( ~ is_a_theorem(implies(not(implies(X4264,X4266)),implies(X4264,X4266)))
| is_a_theorem(implies(implies(X4266,X4265),implies(X4264,X4265))) ),
inference(resolution,status(thm),[c28,condensed_detachment]) ).
cnf(c9825,plain,
is_a_theorem(implies(implies(implies(implies(X12650,X12652),X12652),X12651),implies(X12650,X12651))),
inference(resolution,status(thm),[c9289,c327]) ).
cnf(c31270,plain,
is_a_theorem(implies(implies(X15943,implies(X15941,X15942)),implies(X15941,implies(X15943,X15942)))),
inference(resolution,status(thm),[c9825,c87]) ).
cnf(c39126,plain,
is_a_theorem(implies(not(X15955),implies(X15955,X15954))),
inference(resolution,status(thm),[c31270,c14331]) ).
cnf(c39171,plain,
is_a_theorem(implies(implies(implies(X23680,X23681),X23679),implies(not(X23680),X23679))),
inference(resolution,status(thm),[c39126,c4]) ).
cnf(c77320,plain,
$false,
inference(resolution,status(thm),[c39171,prove_cn_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL055-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n007.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 : 600
% 0.14/0.34 % DateTime : Sun Jul 3 12:53:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 119.71/119.97 # Version: 1.3
% 119.71/119.97 # SZS status Unsatisfiable
% 119.71/119.97 # SZS output start CNFRefutation
% See solution above
% 119.71/119.97
% 119.71/119.97 # Initial clauses : 5
% 119.71/119.97 # Processed clauses : 1224
% 119.71/119.97 # Factors computed : 0
% 119.71/119.97 # Resolvents computed: 77361
% 119.71/119.97 # Tautologies deleted: 1
% 119.71/119.97 # Forward subsumed : 6476
% 119.71/119.97 # Backward subsumed : 135
% 119.71/119.97 # -------- CPU Time ---------
% 119.71/119.97 # User time : 119.410 s
% 119.71/119.97 # System time : 0.134 s
% 119.71/119.97 # Total time : 119.544 s
%------------------------------------------------------------------------------