TSTP Solution File: LCL107-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL107-1 : 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 13:52:05 EDT 2022
% Result : Unsatisfiable 2.79s 3.01s
% Output : Refutation 2.79s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_p_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
input ).
cnf(lg_27_1690,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X8,X6),X7),equivalent(equivalent(X10,X9),equivalent(equivalent(equivalent(X4,X9),equivalent(X4,X10)),X5))),equivalent(X7,equivalent(equivalent(X6,X8),X5)))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X14,X15),X12),equivalent(equivalent(X13,X11),equivalent(equivalent(equivalent(X17,X11),equivalent(X17,X13)),X16))))
| is_a_theorem(equivalent(X12,equivalent(equivalent(X15,X14),X16))) ),
inference(resolution,status(thm),[lg_27_1690,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(equivalent(X21,X20),equivalent(equivalent(equivalent(X24,X20),equivalent(X24,X21)),X23)),equivalent(equivalent(equivalent(X19,X22),equivalent(equivalent(X18,X19),equivalent(X18,X22))),X23))),
inference(resolution,status(thm),[c0,lg_27_1690]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X28,X27),equivalent(X28,X25)),equivalent(equivalent(equivalent(X26,equivalent(equivalent(X30,X29),equivalent(X30,X31))),equivalent(X26,equivalent(X29,X31))),X32)),equivalent(equivalent(X27,X25),X32))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X42,X45),equivalent(X42,X44)),equivalent(equivalent(equivalent(X40,equivalent(equivalent(X43,X47),equivalent(X43,X41))),equivalent(X40,equivalent(X47,X41))),X46)))
| is_a_theorem(equivalent(equivalent(X45,X44),X46)) ),
inference(resolution,status(thm),[c2,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X48,equivalent(equivalent(X50,equivalent(X52,X51)),equivalent(X50,equivalent(X52,X53)))),equivalent(X48,equivalent(X51,X53))),X49),X49)),
inference(resolution,status(thm),[c5,c2]) ).
cnf(c9,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X57,equivalent(equivalent(X58,equivalent(X55,X54)),equivalent(X58,equivalent(X55,X56)))),equivalent(X57,equivalent(X54,X56))),X59))
| is_a_theorem(X59) ),
inference(resolution,status(thm),[c6,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(equivalent(equivalent(equivalent(X111,equivalent(X112,equivalent(equivalent(X114,X109),equivalent(X114,X110)))),equivalent(X111,equivalent(X112,X113))),equivalent(equivalent(X109,X110),X113))),
inference(resolution,status(thm),[c9,lg_27_1690]) ).
cnf(c4,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X66,equivalent(equivalent(X71,X72),equivalent(X71,X73))),equivalent(X66,equivalent(X72,X73))),equivalent(equivalent(equivalent(X65,X69),equivalent(X65,X67)),X68)),equivalent(equivalent(equivalent(X70,X69),equivalent(X70,X67)),X68))),
inference(resolution,status(thm),[c2,c0]) ).
cnf(c18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X214,equivalent(equivalent(X221,X222),equivalent(X221,X219))),equivalent(X214,equivalent(X222,X219))),equivalent(equivalent(equivalent(X220,X215),equivalent(X220,X216)),X217)))
| is_a_theorem(equivalent(equivalent(equivalent(X218,X215),equivalent(X218,X216)),X217)) ),
inference(resolution,status(thm),[c4,condensed_detachment]) ).
cnf(c96,plain,
is_a_theorem(equivalent(equivalent(equivalent(X235,equivalent(X237,X234)),equivalent(X235,X233)),equivalent(equivalent(equivalent(X236,X237),equivalent(X236,X234)),X233))),
inference(resolution,status(thm),[c18,c2]) ).
cnf(c110,plain,
is_a_theorem(equivalent(equivalent(equivalent(X252,equivalent(X253,X254)),equivalent(X252,equivalent(X253,X251))),equivalent(X254,X251))),
inference(resolution,status(thm),[c96,c18]) ).
cnf(c122,plain,
( ~ is_a_theorem(equivalent(equivalent(X263,equivalent(X264,X266)),equivalent(X263,equivalent(X264,X265))))
| is_a_theorem(equivalent(X266,X265)) ),
inference(resolution,status(thm),[c110,condensed_detachment]) ).
cnf(c136,plain,
is_a_theorem(equivalent(equivalent(equivalent(X267,X267),X268),X268)),
inference(resolution,status(thm),[c122,c96]) ).
cnf(c160,plain,
( ~ is_a_theorem(equivalent(equivalent(X279,X279),X280))
| is_a_theorem(X280) ),
inference(resolution,status(thm),[c136,condensed_detachment]) ).
cnf(c183,plain,
is_a_theorem(equivalent(equivalent(X318,X320),equivalent(equivalent(X319,X318),equivalent(X319,X320)))),
inference(resolution,status(thm),[c160,c13]) ).
cnf(c210,plain,
( ~ is_a_theorem(equivalent(X353,X351))
| is_a_theorem(equivalent(equivalent(X352,X353),equivalent(X352,X351))) ),
inference(resolution,status(thm),[c183,condensed_detachment]) ).
cnf(c272,plain,
is_a_theorem(equivalent(equivalent(X863,equivalent(X865,X866)),equivalent(X863,equivalent(equivalent(X864,X865),equivalent(X864,X866))))),
inference(resolution,status(thm),[c210,c183]) ).
cnf(c862,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1893,X1895),X1896),equivalent(equivalent(X1894,X1895),equivalent(equivalent(X1893,X1894),X1896)))),
inference(resolution,status(thm),[c272,c0]) ).
cnf(c2756,plain,
$false,
inference(resolution,status(thm),[c862,prove_p_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL107-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 21:55:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.79/3.01 # Version: 1.3
% 2.79/3.01 # SZS status Unsatisfiable
% 2.79/3.01 # SZS output start CNFRefutation
% See solution above
% 2.79/3.01
% 2.79/3.01 # Initial clauses : 3
% 2.79/3.01 # Processed clauses : 181
% 2.79/3.01 # Factors computed : 0
% 2.79/3.01 # Resolvents computed: 2770
% 2.79/3.01 # Tautologies deleted: 1
% 2.79/3.01 # Forward subsumed : 355
% 2.79/3.01 # Backward subsumed : 0
% 2.79/3.01 # -------- CPU Time ---------
% 2.79/3.01 # User time : 2.617 s
% 2.79/3.01 # System time : 0.020 s
% 2.79/3.01 # Total time : 2.637 s
%------------------------------------------------------------------------------