TSTP Solution File: LCL108-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL108-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 1.21s 1.42s
% Output : Refutation 1.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_q_3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)),
input ).
cnf(lg_27_1690,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),X8),equivalent(equivalent(X10,X4),equivalent(equivalent(equivalent(X7,X4),equivalent(X7,X10)),X9))),equivalent(X8,equivalent(equivalent(X6,X5),X9)))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
input ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X12,X17),X15),equivalent(equivalent(X13,X11),equivalent(equivalent(equivalent(X16,X11),equivalent(X16,X13)),X14))))
| is_a_theorem(equivalent(X15,equivalent(equivalent(X17,X12),X14))) ),
inference(resolution,status(thm),[lg_27_1690,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(equivalent(X20,X18),equivalent(equivalent(equivalent(X22,X18),equivalent(X22,X20)),X21)),equivalent(equivalent(equivalent(X19,X24),equivalent(equivalent(X23,X19),equivalent(X23,X24))),X21))),
inference(resolution,status(thm),[c0,lg_27_1690]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X27,X30),equivalent(X27,X28)),equivalent(equivalent(equivalent(X29,equivalent(equivalent(X32,X26),equivalent(X32,X25))),equivalent(X29,equivalent(X26,X25))),X31)),equivalent(equivalent(X30,X28),X31))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X47,X45),equivalent(X47,X43)),equivalent(equivalent(equivalent(X40,equivalent(equivalent(X42,X44),equivalent(X42,X41))),equivalent(X40,equivalent(X44,X41))),X46)))
| is_a_theorem(equivalent(equivalent(X45,X43),X46)) ),
inference(resolution,status(thm),[c2,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X48,equivalent(equivalent(X49,equivalent(X50,X52)),equivalent(X49,equivalent(X50,X51)))),equivalent(X48,equivalent(X52,X51))),X53),X53)),
inference(resolution,status(thm),[c5,c2]) ).
cnf(c9,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X56,equivalent(equivalent(X58,equivalent(X54,X59)),equivalent(X58,equivalent(X54,X55)))),equivalent(X56,equivalent(X59,X55))),X57))
| is_a_theorem(X57) ),
inference(resolution,status(thm),[c6,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(equivalent(equivalent(equivalent(X99,equivalent(X100,X95)),equivalent(equivalent(X98,equivalent(X96,X99)),equivalent(X98,equivalent(X96,equivalent(X100,X97))))),equivalent(X95,X97))),
inference(resolution,status(thm),[c9,c6]) ).
cnf(c33,plain,
( ~ is_a_theorem(equivalent(equivalent(X192,equivalent(X197,X193)),equivalent(equivalent(X195,equivalent(X194,X192)),equivalent(X195,equivalent(X194,equivalent(X197,X196))))))
| is_a_theorem(equivalent(X193,X196)) ),
inference(resolution,status(thm),[c11,condensed_detachment]) ).
cnf(c84,plain,
is_a_theorem(equivalent(equivalent(equivalent(X199,X198),equivalent(equivalent(X202,X199),equivalent(equivalent(equivalent(X200,X198),equivalent(X200,X202)),X201))),X201)),
inference(resolution,status(thm),[c33,c1]) ).
cnf(c13,plain,
is_a_theorem(equivalent(equivalent(equivalent(X113,equivalent(X114,equivalent(equivalent(X112,X109),equivalent(X112,X110)))),equivalent(X113,equivalent(X114,X111))),equivalent(equivalent(X109,X110),X111))),
inference(resolution,status(thm),[c9,lg_27_1690]) ).
cnf(c39,plain,
( ~ is_a_theorem(equivalent(equivalent(X430,equivalent(X433,equivalent(equivalent(X434,X431),equivalent(X434,X435)))),equivalent(X430,equivalent(X433,X432))))
| is_a_theorem(equivalent(equivalent(X431,X435),X432)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c427,plain,
is_a_theorem(equivalent(equivalent(equivalent(X504,X505),equivalent(equivalent(X505,X504),X503)),X503)),
inference(resolution,status(thm),[c39,c84]) ).
cnf(c486,plain,
$false,
inference(resolution,status(thm),[c427,prove_q_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL108-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 07:37:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.21/1.42 # Version: 1.3
% 1.21/1.42 # SZS status Unsatisfiable
% 1.21/1.42 # SZS output start CNFRefutation
% See solution above
% 1.21/1.42
% 1.21/1.42 # Initial clauses : 3
% 1.21/1.42 # Processed clauses : 72
% 1.21/1.42 # Factors computed : 0
% 1.21/1.42 # Resolvents computed: 539
% 1.21/1.42 # Tautologies deleted: 1
% 1.21/1.42 # Forward subsumed : 53
% 1.21/1.42 # Backward subsumed : 0
% 1.21/1.42 # -------- CPU Time ---------
% 1.21/1.42 # User time : 1.055 s
% 1.21/1.42 # System time : 0.022 s
% 1.21/1.42 # Total time : 1.077 s
%------------------------------------------------------------------------------