TSTP Solution File: LCL064-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 13:51:47 EDT 2022
% Result : Unsatisfiable 25.10s 25.29s
% Output : Refutation 25.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_1,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X4))
| ~ is_a_theorem(X5)
| is_a_theorem(X4) ),
input ).
cnf(cn_18,axiom,
is_a_theorem(implies(X3,implies(X2,X3))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(X6)
| is_a_theorem(implies(X7,X6)) ),
inference(resolution,status(thm),[condensed_detachment,cn_18]) ).
cnf(c1,plain,
is_a_theorem(implies(X8,implies(X9,implies(X10,X9)))),
inference(resolution,status(thm),[c0,cn_18]) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X16,implies(X14,X15)),implies(implies(X16,X14),implies(X16,X15)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X36,implies(X35,X37)))
| is_a_theorem(implies(implies(X36,X35),implies(X36,X37))) ),
inference(resolution,status(thm),[cn_35,condensed_detachment]) ).
cnf(c10,plain,
is_a_theorem(implies(implies(implies(X78,implies(X77,X79)),implies(X78,X77)),implies(implies(X78,implies(X77,X79)),implies(X78,X79)))),
inference(resolution,status(thm),[c4,cn_35]) ).
cnf(c42,plain,
( ~ is_a_theorem(implies(implies(X331,implies(X329,X330)),implies(X331,X329)))
| is_a_theorem(implies(implies(X331,implies(X329,X330)),implies(X331,X330))) ),
inference(resolution,status(thm),[c10,condensed_detachment]) ).
cnf(c263,plain,
is_a_theorem(implies(implies(X1086,implies(implies(X1085,X1086),X1084)),implies(X1086,X1084))),
inference(resolution,status(thm),[c42,c1]) ).
cnf(c1017,plain,
( ~ is_a_theorem(implies(X2490,implies(implies(X2492,X2490),X2491)))
| is_a_theorem(implies(X2490,X2491)) ),
inference(resolution,status(thm),[c263,condensed_detachment]) ).
cnf(c1024,plain,
is_a_theorem(implies(X8944,implies(implies(X8945,implies(implies(X8947,X8945),X8946)),implies(X8945,X8946)))),
inference(resolution,status(thm),[c263,c0]) ).
cnf(c11668,plain,
is_a_theorem(implies(implies(implies(X8949,X8948),X8950),implies(X8948,X8950))),
inference(resolution,status(thm),[c1024,c1017]) ).
cnf(c11713,plain,
( ~ is_a_theorem(implies(implies(X9008,X9009),X9010))
| is_a_theorem(implies(X9009,X9010)) ),
inference(resolution,status(thm),[c11668,condensed_detachment]) ).
cnf(c5,plain,
is_a_theorem(implies(X45,implies(implies(X47,implies(X46,X48)),implies(implies(X47,X46),implies(X47,X48))))),
inference(resolution,status(thm),[cn_35,c0]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(X243,implies(X242,implies(X244,X245))),implies(X243,implies(implies(X242,X244),implies(X242,X245))))),
inference(resolution,status(thm),[c5,c4]) ).
cnf(c11,plain,
is_a_theorem(implies(implies(X38,X39),implies(X38,X38))),
inference(resolution,status(thm),[c4,cn_18]) ).
cnf(c15,plain,
( ~ is_a_theorem(implies(X41,X40))
| is_a_theorem(implies(X41,X41)) ),
inference(resolution,status(thm),[c11,condensed_detachment]) ).
cnf(c19,plain,
is_a_theorem(implies(X42,X42)),
inference(resolution,status(thm),[c15,cn_18]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(implies(X162,X161),X162),implies(implies(X162,X161),X161))),
inference(resolution,status(thm),[c19,c4]) ).
cnf(c105,plain,
( ~ is_a_theorem(implies(implies(X256,X257),X256))
| is_a_theorem(implies(implies(X256,X257),X257)) ),
inference(resolution,status(thm),[c26,condensed_detachment]) ).
cnf(c173,plain,
is_a_theorem(implies(implies(implies(X320,implies(X319,X320)),X318),X318)),
inference(resolution,status(thm),[c105,c1]) ).
cnf(c233,plain,
( ~ is_a_theorem(implies(implies(X418,implies(X420,X418)),X419))
| is_a_theorem(X419) ),
inference(resolution,status(thm),[c173,condensed_detachment]) ).
cnf(c350,plain,
is_a_theorem(implies(implies(X1142,X1140),implies(implies(X1141,X1142),implies(X1141,X1140)))),
inference(resolution,status(thm),[c233,c29]) ).
cnf(c1069,plain,
is_a_theorem(implies(implies(implies(X14661,X14659),implies(X14660,X14661)),implies(implies(X14661,X14659),implies(X14660,X14659)))),
inference(resolution,status(thm),[c350,c4]) ).
cnf(c25521,plain,
is_a_theorem(implies(implies(X15450,X15452),implies(implies(X15452,X15451),implies(X15450,X15451)))),
inference(resolution,status(thm),[c1069,c11713]) ).
cnf(c26549,plain,
$false,
inference(resolution,status(thm),[c25521,prove_cn_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 18:36:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 25.10/25.29 # Version: 1.3
% 25.10/25.29 # SZS status Unsatisfiable
% 25.10/25.29 # SZS output start CNFRefutation
% See solution above
% 25.10/25.29
% 25.10/25.29 # Initial clauses : 4
% 25.10/25.29 # Processed clauses : 487
% 25.10/25.29 # Factors computed : 0
% 25.10/25.29 # Resolvents computed: 26678
% 25.10/25.29 # Tautologies deleted: 1
% 25.10/25.29 # Forward subsumed : 3664
% 25.10/25.29 # Backward subsumed : 2
% 25.10/25.29 # -------- CPU Time ---------
% 25.10/25.29 # User time : 24.902 s
% 25.10/25.29 # System time : 0.051 s
% 25.10/25.29 # Total time : 24.953 s
%------------------------------------------------------------------------------