TSTP Solution File: LCL036-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 13:51:35 EDT 2022
% Result : Unsatisfiable 3.22s 3.48s
% Output : Refutation 3.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c0_5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
input ).
cnf(c0_CAMerideth,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X4,X6),implies(X7,falsehood)),X5),X8),implies(implies(X8,X4),implies(X7,X4)))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X13,X12),implies(X9,falsehood)),X10),X11))
| is_a_theorem(implies(implies(X11,X13),implies(X9,X13))) ),
inference(resolution,status(thm),[c0_CAMerideth,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(implies(X15,X17),implies(X14,X17)),implies(X17,X16)),implies(X18,implies(X17,X16)))),
inference(resolution,status(thm),[c0,c0_CAMerideth]) ).
cnf(c2,plain,
( ~ is_a_theorem(implies(implies(implies(X23,X22),implies(X21,X22)),implies(X22,X19)))
| is_a_theorem(implies(X20,implies(X22,X19))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c3,plain,
is_a_theorem(implies(implies(implies(X38,implies(falsehood,X37)),X36),implies(X39,X36))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(X43,X44),X42),implies(falsehood,X42))),
inference(resolution,status(thm),[c3,c0]) ).
cnf(c24,plain,
is_a_theorem(implies(X46,implies(falsehood,implies(X45,falsehood)))),
inference(resolution,status(thm),[c14,c2]) ).
cnf(c13,plain,
( ~ is_a_theorem(implies(implies(X88,implies(falsehood,X86)),X87))
| is_a_theorem(implies(X85,X87)) ),
inference(resolution,status(thm),[c3,condensed_detachment]) ).
cnf(c55,plain,
is_a_theorem(implies(X91,implies(X92,implies(falsehood,X93)))),
inference(resolution,status(thm),[c13,c3]) ).
cnf(c65,plain,
( ~ is_a_theorem(X110)
| is_a_theorem(implies(X109,implies(falsehood,X111))) ),
inference(resolution,status(thm),[c55,condensed_detachment]) ).
cnf(c75,plain,
is_a_theorem(implies(X113,implies(falsehood,X112))),
inference(resolution,status(thm),[c65,c24]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(falsehood,X175),X173),implies(X174,X173))),
inference(resolution,status(thm),[c14,c0]) ).
cnf(c131,plain,
is_a_theorem(implies(X183,implies(X181,implies(X182,X181)))),
inference(resolution,status(thm),[c22,c2]) ).
cnf(c133,plain,
( ~ is_a_theorem(X191)
| is_a_theorem(implies(X192,implies(X190,X192))) ),
inference(resolution,status(thm),[c131,condensed_detachment]) ).
cnf(c137,plain,
is_a_theorem(implies(X194,implies(X193,X194))),
inference(resolution,status(thm),[c133,c75]) ).
cnf(c154,plain,
is_a_theorem(implies(X398,implies(X395,implies(implies(X396,X395),implies(X397,X395))))),
inference(resolution,status(thm),[c137,c2]) ).
cnf(c214,plain,
( ~ is_a_theorem(X457)
| is_a_theorem(implies(X456,implies(implies(X458,X456),implies(X455,X456)))) ),
inference(resolution,status(thm),[c154,condensed_detachment]) ).
cnf(c240,plain,
is_a_theorem(implies(X462,implies(implies(X463,X462),implies(X464,X462)))),
inference(resolution,status(thm),[c214,c75]) ).
cnf(c259,plain,
( ~ is_a_theorem(X518)
| is_a_theorem(implies(implies(X516,X518),implies(X517,X518))) ),
inference(resolution,status(thm),[c240,condensed_detachment]) ).
cnf(c152,plain,
( ~ is_a_theorem(X228)
| is_a_theorem(implies(X227,X228)) ),
inference(resolution,status(thm),[c137,condensed_detachment]) ).
cnf(c165,plain,
is_a_theorem(implies(X1221,implies(implies(implies(implies(implies(X1224,X1223),implies(X1219,falsehood)),X1220),X1222),implies(implies(X1222,X1224),implies(X1219,X1224))))),
inference(resolution,status(thm),[c152,c0_CAMerideth]) ).
cnf(c433,plain,
is_a_theorem(implies(implies(X3367,implies(X3363,implies(implies(implies(implies(implies(X3368,X3362),implies(X3365,falsehood)),X3366),X3364),implies(implies(X3364,X3368),implies(X3365,X3368))))),implies(X3361,implies(X3363,implies(implies(implies(implies(implies(X3368,X3362),implies(X3365,falsehood)),X3366),X3364),implies(implies(X3364,X3368),implies(X3365,X3368))))))),
inference(resolution,status(thm),[c165,c259]) ).
cnf(c153,plain,
is_a_theorem(implies(implies(implies(X1099,implies(implies(implies(X1100,X1102),implies(X1103,falsehood)),X1101)),X1100),implies(X1103,X1100))),
inference(resolution,status(thm),[c137,c0]) ).
cnf(c417,plain,
is_a_theorem(implies(implies(implies(X1996,X1995),X1993),implies(implies(implies(X1995,X1994),implies(X1996,falsehood)),X1993))),
inference(resolution,status(thm),[c153,c0]) ).
cnf(c699,plain,
( ~ is_a_theorem(implies(implies(X3420,X3417),X3418))
| is_a_theorem(implies(implies(implies(X3417,X3419),implies(X3420,falsehood)),X3418)) ),
inference(resolution,status(thm),[c417,condensed_detachment]) ).
cnf(c1218,plain,
is_a_theorem(implies(implies(implies(X3432,X3430),implies(X3431,falsehood)),implies(X3433,implies(X3431,X3432)))),
inference(resolution,status(thm),[c699,c137]) ).
cnf(c1247,plain,
( ~ is_a_theorem(implies(implies(X3583,X3584),implies(X3585,falsehood)))
| is_a_theorem(implies(X3582,implies(X3585,X3583))) ),
inference(resolution,status(thm),[c1218,condensed_detachment]) ).
cnf(c1325,plain,
is_a_theorem(implies(X3667,implies(implies(implies(X3665,X3666),implies(X3668,falsehood)),implies(X3668,X3665)))),
inference(resolution,status(thm),[c1247,c417]) ).
cnf(c1373,plain,
( ~ is_a_theorem(X3693)
| is_a_theorem(implies(implies(implies(X3694,X3691),implies(X3692,falsehood)),implies(X3692,X3694))) ),
inference(resolution,status(thm),[c1325,condensed_detachment]) ).
cnf(c1399,plain,
is_a_theorem(implies(implies(implies(X3695,X3697),implies(X3696,falsehood)),implies(X3696,X3695))),
inference(resolution,status(thm),[c1373,c433]) ).
cnf(c1475,plain,
( ~ is_a_theorem(implies(implies(X6581,X6582),implies(X6580,falsehood)))
| is_a_theorem(implies(X6580,X6581)) ),
inference(resolution,status(thm),[c1399,condensed_detachment]) ).
cnf(c1478,plain,
is_a_theorem(implies(implies(implies(X3716,implies(X3715,X3717)),X3715),implies(X3718,X3715))),
inference(resolution,status(thm),[c1399,c0]) ).
cnf(c1505,plain,
is_a_theorem(implies(implies(implies(X3724,X3722),X3723),implies(X3722,X3723))),
inference(resolution,status(thm),[c1478,c0]) ).
cnf(c1520,plain,
is_a_theorem(implies(implies(implies(implies(X6667,falsehood),X6669),X6668),implies(X6667,X6668))),
inference(resolution,status(thm),[c1505,c0]) ).
cnf(c3946,plain,
is_a_theorem(implies(X6693,implies(implies(X6693,falsehood),X6692))),
inference(resolution,status(thm),[c1520,c1475]) ).
cnf(c3968,plain,
is_a_theorem(implies(implies(implies(X6697,X6696),falsehood),X6697)),
inference(resolution,status(thm),[c3946,c1475]) ).
cnf(c4116,plain,
$false,
inference(resolution,status(thm),[c3968,prove_c0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 10:50:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.22/3.48 # Version: 1.3
% 3.22/3.48 # SZS status Unsatisfiable
% 3.22/3.48 # SZS output start CNFRefutation
% See solution above
% 3.22/3.48
% 3.22/3.48 # Initial clauses : 3
% 3.22/3.48 # Processed clauses : 227
% 3.22/3.48 # Factors computed : 0
% 3.22/3.48 # Resolvents computed: 4129
% 3.22/3.48 # Tautologies deleted: 1
% 3.22/3.48 # Forward subsumed : 1396
% 3.22/3.48 # Backward subsumed : 62
% 3.22/3.48 # -------- CPU Time ---------
% 3.22/3.48 # User time : 3.111 s
% 3.22/3.48 # System time : 0.016 s
% 3.22/3.48 # Total time : 3.127 s
%------------------------------------------------------------------------------