TSTP Solution File: LCL068-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL068-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 13:51:48 EDT 2022
% Result : Unsatisfiable 252.89s 253.20s
% Output : Refutation 252.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_2,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(cn_59,axiom,
is_a_theorem(implies(implies(not(X28),X30),implies(implies(X29,X30),implies(implies(X28,X29),X30)))),
input ).
cnf(c23,plain,
( ~ is_a_theorem(implies(not(X251),X250))
| is_a_theorem(implies(implies(X249,X250),implies(implies(X251,X249),X250))) ),
inference(resolution,status(thm),[cn_59,condensed_detachment]) ).
cnf(cn_19,axiom,
is_a_theorem(implies(implies(implies(X4,X5),X6),implies(X5,X6))),
input ).
cnf(cn_37,axiom,
is_a_theorem(implies(implies(implies(X12,X13),X14),implies(not(X12),X14))),
input ).
cnf(c5,plain,
( ~ is_a_theorem(implies(implies(X49,X51),X50))
| is_a_theorem(implies(not(X49),X50)) ),
inference(resolution,status(thm),[cn_37,condensed_detachment]) ).
cnf(c43,plain,
is_a_theorem(implies(not(implies(X58,X59)),implies(X59,X60))),
inference(resolution,status(thm),[c5,cn_19]) ).
cnf(c179,plain,
is_a_theorem(implies(implies(X822,implies(X823,X821)),implies(implies(implies(X824,X823),X822),implies(X823,X821)))),
inference(resolution,status(thm),[c23,c43]) ).
cnf(c456,plain,
( ~ is_a_theorem(implies(X1010,implies(X1012,X1013)))
| is_a_theorem(implies(implies(implies(X1011,X1012),X1010),implies(X1012,X1013))) ),
inference(resolution,status(thm),[c179,condensed_detachment]) ).
cnf(c556,plain,
is_a_theorem(implies(implies(implies(X1185,X1183),implies(implies(X1182,X1183),X1184)),implies(X1183,X1184))),
inference(resolution,status(thm),[c456,cn_19]) ).
cnf(c726,plain,
( ~ is_a_theorem(implies(implies(X1383,X1382),implies(implies(X1384,X1382),X1381)))
| is_a_theorem(implies(X1382,X1381)) ),
inference(resolution,status(thm),[c556,condensed_detachment]) ).
cnf(c891,plain,
is_a_theorem(implies(X1385,X1385)),
inference(resolution,status(thm),[c726,cn_19]) ).
cnf(c932,plain,
is_a_theorem(implies(implies(X1995,not(X1996)),implies(implies(X1996,X1995),not(X1996)))),
inference(resolution,status(thm),[c891,c23]) ).
cnf(c1254,plain,
( ~ is_a_theorem(implies(X2021,not(X2022)))
| is_a_theorem(implies(implies(X2022,X2021),not(X2022))) ),
inference(resolution,status(thm),[c932,condensed_detachment]) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X7,X8),X9))
| is_a_theorem(implies(X8,X9)) ),
inference(resolution,status(thm),[cn_19,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(X11,implies(X10,X11))),
inference(resolution,status(thm),[c0,cn_19]) ).
cnf(c41,plain,
is_a_theorem(implies(not(X55),implies(X57,implies(X55,X56)))),
inference(resolution,status(thm),[c5,c1]) ).
cnf(c589,plain,
is_a_theorem(implies(implies(implies(X1117,X1114),not(X1116)),implies(X1114,implies(X1116,X1115)))),
inference(resolution,status(thm),[c456,c41]) ).
cnf(c903,plain,
is_a_theorem(implies(not(X1426),implies(X1426,X1427))),
inference(resolution,status(thm),[c726,c589]) ).
cnf(c176,plain,
is_a_theorem(implies(implies(X2134,implies(X2135,not(X2136))),implies(implies(X2136,X2134),implies(X2135,not(X2136))))),
inference(resolution,status(thm),[c23,c1]) ).
cnf(c1393,plain,
( ~ is_a_theorem(implies(X24048,implies(X24047,not(X24049))))
| is_a_theorem(implies(implies(X24049,X24048),implies(X24047,not(X24049)))) ),
inference(resolution,status(thm),[c176,condensed_detachment]) ).
cnf(c21291,plain,
is_a_theorem(implies(implies(X24053,not(X24052)),implies(X24052,not(X24053)))),
inference(resolution,status(thm),[c1393,c903]) ).
cnf(c21373,plain,
( ~ is_a_theorem(implies(X24086,not(X24085)))
| is_a_theorem(implies(X24085,not(X24086))) ),
inference(resolution,status(thm),[c21291,condensed_detachment]) ).
cnf(c21490,plain,
is_a_theorem(implies(X24087,not(not(X24087)))),
inference(resolution,status(thm),[c21373,c891]) ).
cnf(c21519,plain,
is_a_theorem(implies(implies(not(X24925),X24925),not(not(X24925)))),
inference(resolution,status(thm),[c21490,c1254]) ).
cnf(c967,plain,
is_a_theorem(implies(implies(X2960,implies(X2962,X2961)),implies(implies(X2962,X2960),implies(X2962,X2961)))),
inference(resolution,status(thm),[c903,c23]) ).
cnf(c1971,plain,
( ~ is_a_theorem(implies(X3242,implies(X3241,X3243)))
| is_a_theorem(implies(implies(X3241,X3242),implies(X3241,X3243))) ),
inference(resolution,status(thm),[c967,condensed_detachment]) ).
cnf(c2,plain,
is_a_theorem(implies(X21,implies(X20,implies(X19,X21)))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c2088,plain,
is_a_theorem(implies(implies(X3263,X3262),implies(X3263,implies(X3261,X3262)))),
inference(resolution,status(thm),[c1971,c2]) ).
cnf(c2212,plain,
( ~ is_a_theorem(implies(X3302,X3301))
| is_a_theorem(implies(X3302,implies(X3300,X3301))) ),
inference(resolution,status(thm),[c2088,condensed_detachment]) ).
cnf(c44,plain,
is_a_theorem(implies(not(not(X365)),implies(implies(X364,X363),implies(implies(X365,X364),X363)))),
inference(resolution,status(thm),[c5,cn_59]) ).
cnf(c255,plain,
( ~ is_a_theorem(not(not(X556)))
| is_a_theorem(implies(implies(X555,X557),implies(implies(X556,X555),X557))) ),
inference(resolution,status(thm),[c44,condensed_detachment]) ).
cnf(c21528,plain,
( ~ is_a_theorem(X24088)
| is_a_theorem(not(not(X24088))) ),
inference(resolution,status(thm),[c21490,condensed_detachment]) ).
cnf(c21614,plain,
is_a_theorem(not(not(implies(X24094,X24094)))),
inference(resolution,status(thm),[c21528,c891]) ).
cnf(c22041,plain,
is_a_theorem(implies(implies(X31900,X31899),implies(implies(implies(X31898,X31898),X31900),X31899))),
inference(resolution,status(thm),[c21614,c255]) ).
cnf(c64342,plain,
( ~ is_a_theorem(implies(X35609,X35611))
| is_a_theorem(implies(implies(implies(X35610,X35610),X35609),X35611)) ),
inference(resolution,status(thm),[c22041,condensed_detachment]) ).
cnf(c76503,plain,
is_a_theorem(implies(implies(implies(X35612,X35612),X35613),X35613)),
inference(resolution,status(thm),[c64342,c891]) ).
cnf(c77258,plain,
( ~ is_a_theorem(implies(implies(X35650,X35650),X35649))
| is_a_theorem(X35649) ),
inference(resolution,status(thm),[c76503,condensed_detachment]) ).
cnf(c2145,plain,
is_a_theorem(implies(implies(X3288,implies(X3288,X3287)),implies(X3288,X3287))),
inference(resolution,status(thm),[c1971,c891]) ).
cnf(c2259,plain,
is_a_theorem(implies(implies(X3788,implies(X3788,X3787)),implies(X3786,implies(X3788,X3787)))),
inference(resolution,status(thm),[c2212,c2145]) ).
cnf(c2856,plain,
is_a_theorem(implies(implies(X9668,implies(X9669,implies(X9669,X9670))),implies(X9668,implies(X9669,X9670)))),
inference(resolution,status(thm),[c2259,c1971]) ).
cnf(c7872,plain,
( ~ is_a_theorem(implies(X17378,implies(X17376,implies(X17376,X17377))))
| is_a_theorem(implies(X17378,implies(X17376,X17377))) ),
inference(resolution,status(thm),[c2856,condensed_detachment]) ).
cnf(c15683,plain,
is_a_theorem(implies(not(not(X17569)),implies(implies(X17569,X17569),X17569))),
inference(resolution,status(thm),[c7872,c44]) ).
cnf(c196,plain,
is_a_theorem(implies(implies(X2510,implies(X2509,implies(X2512,X2511))),implies(implies(X2512,X2510),implies(X2509,implies(X2512,X2511))))),
inference(resolution,status(thm),[c23,c41]) ).
cnf(c1648,plain,
( ~ is_a_theorem(implies(X27069,implies(X27068,implies(X27070,X27067))))
| is_a_theorem(implies(implies(X27070,X27069),implies(X27068,implies(X27070,X27067)))) ),
inference(resolution,status(thm),[c196,condensed_detachment]) ).
cnf(c44336,plain,
is_a_theorem(implies(implies(X34720,implies(X34722,X34721)),implies(X34722,implies(X34720,X34721)))),
inference(resolution,status(thm),[c1648,c2088]) ).
cnf(c74267,plain,
( ~ is_a_theorem(implies(X45224,implies(X45223,X45222)))
| is_a_theorem(implies(X45223,implies(X45224,X45222))) ),
inference(resolution,status(thm),[c44336,condensed_detachment]) ).
cnf(c114498,plain,
is_a_theorem(implies(implies(X45520,X45520),implies(not(not(X45520)),X45520))),
inference(resolution,status(thm),[c74267,c15683]) ).
cnf(c115879,plain,
is_a_theorem(implies(not(not(X45521)),X45521)),
inference(resolution,status(thm),[c114498,c77258]) ).
cnf(c116014,plain,
is_a_theorem(implies(not(not(X45608)),implies(X45607,X45608))),
inference(resolution,status(thm),[c115879,c2212]) ).
cnf(c116277,plain,
is_a_theorem(implies(implies(X46474,not(not(X46473))),implies(X46474,X46473))),
inference(resolution,status(thm),[c116014,c1971]) ).
cnf(c119376,plain,
( ~ is_a_theorem(implies(X47275,not(not(X47276))))
| is_a_theorem(implies(X47275,X47276)) ),
inference(resolution,status(thm),[c116277,condensed_detachment]) ).
cnf(c121895,plain,
is_a_theorem(implies(implies(not(X47300),X47300),X47300)),
inference(resolution,status(thm),[c119376,c21519]) ).
cnf(c122022,plain,
$false,
inference(resolution,status(thm),[c121895,prove_cn_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL068-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n017.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 16:39:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 252.89/253.20 # Version: 1.3
% 252.89/253.20 # SZS status Unsatisfiable
% 252.89/253.20 # SZS output start CNFRefutation
% See solution above
% 252.89/253.20
% 252.89/253.20 # Initial clauses : 5
% 252.89/253.20 # Processed clauses : 1332
% 252.89/253.20 # Factors computed : 0
% 252.89/253.20 # Resolvents computed: 122056
% 252.89/253.20 # Tautologies deleted: 1
% 252.89/253.20 # Forward subsumed : 11267
% 252.89/253.20 # Backward subsumed : 19
% 252.89/253.20 # -------- CPU Time ---------
% 252.89/253.20 # User time : 252.630 s
% 252.89/253.20 # System time : 0.177 s
% 252.89/253.20 # Total time : 252.807 s
%------------------------------------------------------------------------------