TSTP Solution File: LCL050-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL050-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 13:51:41 EDT 2022
% Result : Unsatisfiable 69.45s 69.75s
% Output : Refutation 69.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_21,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(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,X12),implies(implies(X12,X11),implies(X10,X11)))),
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(c15,plain,
is_a_theorem(implies(implies(implies(implies(X92,X93),implies(X95,X93)),X94),implies(implies(X95,X92),X94))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c87,plain,
( ~ is_a_theorem(implies(implies(implies(X931,X929),implies(X928,X929)),X930))
| is_a_theorem(implies(implies(X928,X931),X930)) ),
inference(resolution,status(thm),[c15,condensed_detachment]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
input ).
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(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(not(implies(X265,X263)),implies(X265,X263)),implies(implies(X263,X264),implies(X265,X264)))),
inference(resolution,status(thm),[c17,cn_1]) ).
cnf(c327,plain,
( ~ is_a_theorem(implies(not(implies(X4276,X4274)),implies(X4276,X4274)))
| is_a_theorem(implies(implies(X4274,X4275),implies(X4276,X4275))) ),
inference(resolution,status(thm),[c28,condensed_detachment]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
input ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(not(X33),X31),X32),implies(X33,X32))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X49),X50),X51))
| is_a_theorem(implies(X49,X51)) ),
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(c42,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,status(thm),[c20,cn_2]) ).
cnf(c55,plain,
is_a_theorem(implies(not(implies(X61,X61)),X60)),
inference(resolution,status(thm),[c42,c1]) ).
cnf(c63,plain,
is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
inference(resolution,status(thm),[c55,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X119,implies(not(implies(X117,X117)),X118))),
inference(resolution,status(thm),[c63,c20]) ).
cnf(c132,plain,
is_a_theorem(implies(implies(implies(not(implies(X216,X216)),X217),X219),implies(X218,X219))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c251,plain,
( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X223),X220))
| is_a_theorem(implies(X222,X220)) ),
inference(resolution,status(thm),[c132,condensed_detachment]) ).
cnf(c27,plain,
is_a_theorem(implies(implies(not(implies(X250,X249)),implies(X250,X249)),implies(implies(not(X250),X250),X249))),
inference(resolution,status(thm),[c17,c13]) ).
cnf(c305,plain,
is_a_theorem(implies(X266,implies(implies(not(X267),X267),X267))),
inference(resolution,status(thm),[c27,c251]) ).
cnf(c344,plain,
is_a_theorem(implies(implies(implies(implies(not(X907),X907),X907),X909),implies(X908,X909))),
inference(resolution,status(thm),[c305,c4]) ).
cnf(c810,plain,
is_a_theorem(implies(implies(X1891,implies(not(X1890),X1890)),implies(X1892,implies(X1891,X1890)))),
inference(resolution,status(thm),[c87,c344]) ).
cnf(c1915,plain,
( ~ is_a_theorem(implies(X3753,implies(not(X3754),X3754)))
| is_a_theorem(implies(X3755,implies(X3753,X3754))) ),
inference(resolution,status(thm),[c810,condensed_detachment]) ).
cnf(c1912,plain,
is_a_theorem(implies(implies(not(X2336),X2335),implies(X2337,implies(implies(X2335,X2336),X2336)))),
inference(resolution,status(thm),[c810,c87]) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,status(thm),[condensed_detachment,cn_2]) ).
cnf(c266,plain,
is_a_theorem(implies(X227,implies(X228,X228))),
inference(resolution,status(thm),[c251,cn_2]) ).
cnf(c287,plain,
is_a_theorem(implies(implies(implies(X297,X297),X298),implies(X296,X298))),
inference(resolution,status(thm),[c266,c4]) ).
cnf(c363,plain,
( ~ is_a_theorem(implies(implies(X304,X304),X302))
| is_a_theorem(implies(X303,X302)) ),
inference(resolution,status(thm),[c287,condensed_detachment]) ).
cnf(c386,plain,
is_a_theorem(implies(X314,implies(X315,implies(X313,X313)))),
inference(resolution,status(thm),[c363,c287]) ).
cnf(c397,plain,
is_a_theorem(implies(implies(implies(X434,implies(X437,X437)),X436),implies(X435,X436))),
inference(resolution,status(thm),[c386,c4]) ).
cnf(c4980,plain,
is_a_theorem(implies(X4240,implies(implies(implies(X4239,implies(X4241,X4241)),X4238),X4238))),
inference(resolution,status(thm),[c1915,c397]) ).
cnf(c6238,plain,
is_a_theorem(implies(implies(implies(X4254,implies(X4252,X4252)),X4253),X4253)),
inference(resolution,status(thm),[c4980,c0]) ).
cnf(c6300,plain,
( ~ is_a_theorem(implies(implies(X4297,implies(X4299,X4299)),X4298))
| is_a_theorem(X4298) ),
inference(resolution,status(thm),[c6238,condensed_detachment]) ).
cnf(c2452,plain,
is_a_theorem(implies(X2340,implies(X2338,implies(implies(X2339,X2340),X2340)))),
inference(resolution,status(thm),[c1912,c20]) ).
cnf(c4950,plain,
is_a_theorem(implies(X3795,implies(X3796,implies(implies(X3794,X3796),X3796)))),
inference(resolution,status(thm),[c1915,c2452]) ).
cnf(c5103,plain,
is_a_theorem(implies(X3800,implies(implies(X3801,X3800),X3800))),
inference(resolution,status(thm),[c4950,c0]) ).
cnf(c5153,plain,
is_a_theorem(implies(implies(implies(implies(X4658,X4657),X4657),X4659),implies(X4657,X4659))),
inference(resolution,status(thm),[c5103,c4]) ).
cnf(c7064,plain,
is_a_theorem(implies(implies(X4884,implies(X4882,X4883)),implies(X4883,implies(X4884,X4883)))),
inference(resolution,status(thm),[c5153,c87]) ).
cnf(c7322,plain,
is_a_theorem(implies(X4886,implies(X4885,X4886))),
inference(resolution,status(thm),[c7064,c6300]) ).
cnf(c7355,plain,
is_a_theorem(implies(implies(implies(X5144,X5143),X5145),implies(X5143,X5145))),
inference(resolution,status(thm),[c7322,c4]) ).
cnf(c8001,plain,
( ~ is_a_theorem(implies(implies(X5302,X5303),X5301))
| is_a_theorem(implies(X5303,X5301)) ),
inference(resolution,status(thm),[c7355,condensed_detachment]) ).
cnf(c8432,plain,
is_a_theorem(implies(X5552,implies(X5553,implies(implies(X5552,X5554),X5554)))),
inference(resolution,status(thm),[c8001,c1912]) ).
cnf(c9297,plain,
is_a_theorem(implies(X5652,implies(X5653,implies(implies(X5653,X5651),X5651)))),
inference(resolution,status(thm),[c8432,c1915]) ).
cnf(c9534,plain,
is_a_theorem(implies(implies(implies(implies(X12589,X12588),X12588),X12587),implies(X12589,X12587))),
inference(resolution,status(thm),[c9297,c327]) ).
cnf(c31138,plain,
is_a_theorem(implies(implies(X15899,implies(X15897,X15898)),implies(X15897,implies(X15899,X15898)))),
inference(resolution,status(thm),[c9534,c87]) ).
cnf(c39072,plain,
$false,
inference(resolution,status(thm),[c31138,prove_cn_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL050-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 4 03:09:36 EDT 2022
% 0.14/0.35 % CPUTime :
% 69.45/69.75 # Version: 1.3
% 69.45/69.75 # SZS status Unsatisfiable
% 69.45/69.75 # SZS output start CNFRefutation
% See solution above
% 69.45/69.75
% 69.45/69.75 # Initial clauses : 5
% 69.45/69.75 # Processed clauses : 848
% 69.45/69.75 # Factors computed : 0
% 69.45/69.75 # Resolvents computed: 39102
% 69.45/69.75 # Tautologies deleted: 1
% 69.45/69.75 # Forward subsumed : 4030
% 69.45/69.75 # Backward subsumed : 117
% 69.45/69.75 # -------- CPU Time ---------
% 69.45/69.75 # User time : 69.193 s
% 69.45/69.75 # System time : 0.099 s
% 69.45/69.75 # Total time : 69.292 s
%------------------------------------------------------------------------------