TSTP Solution File: LCL023-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL023-1 : TPTP v8.1.0. Released v1.0.0.
% 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 13:51:31 EDT 2022
% Result : Unsatisfiable 9.22s 9.44s
% Output : Refutation 9.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ec_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(yql,axiom,
is_a_theorem(equivalent(equivalent(X5,X6),equivalent(equivalent(X4,X6),equivalent(X5,X4)))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X7,X8))
| is_a_theorem(equivalent(equivalent(X9,X8),equivalent(X7,X9))) ),
inference(resolution,status(thm),[yql,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(X13,equivalent(equivalent(X10,X11),equivalent(X12,X10))),equivalent(equivalent(X12,X11),X13))),
inference(resolution,status(thm),[c0,yql]) ).
cnf(c2,plain,
( ~ is_a_theorem(equivalent(X14,equivalent(equivalent(X17,X15),equivalent(X16,X17))))
| is_a_theorem(equivalent(equivalent(X16,X15),X14)) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c5,plain,
is_a_theorem(equivalent(equivalent(X18,X19),equivalent(X18,X19))),
inference(resolution,status(thm),[c2,yql]) ).
cnf(c7,plain,
is_a_theorem(equivalent(equivalent(X24,equivalent(X23,X22)),equivalent(equivalent(X23,X22),X24))),
inference(resolution,status(thm),[c5,c0]) ).
cnf(c10,plain,
is_a_theorem(equivalent(equivalent(X59,equivalent(equivalent(X57,X60),X58)),equivalent(equivalent(X58,equivalent(X57,X60)),X59))),
inference(resolution,status(thm),[c7,c0]) ).
cnf(c39,plain,
( ~ is_a_theorem(equivalent(X200,equivalent(equivalent(X198,X199),X201)))
| is_a_theorem(equivalent(equivalent(X201,equivalent(X198,X199)),X200)) ),
inference(resolution,status(thm),[c10,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(equivalent(equivalent(X38,X39),equivalent(equivalent(X38,X40),equivalent(X40,X39)))),
inference(resolution,status(thm),[c7,c2]) ).
cnf(c22,plain,
is_a_theorem(equivalent(equivalent(X41,X41),equivalent(X42,X42))),
inference(resolution,status(thm),[c11,c2]) ).
cnf(c24,plain,
( ~ is_a_theorem(equivalent(X44,X44))
| is_a_theorem(equivalent(X43,X43)) ),
inference(resolution,status(thm),[c22,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(equivalent(X45,X45)),
inference(resolution,status(thm),[c24,c22]) ).
cnf(c34,plain,
is_a_theorem(equivalent(equivalent(X64,X63),equivalent(X63,X64))),
inference(resolution,status(thm),[c28,c0]) ).
cnf(c43,plain,
( ~ is_a_theorem(equivalent(X65,X66))
| is_a_theorem(equivalent(X66,X65)) ),
inference(resolution,status(thm),[c34,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(equivalent(equivalent(X46,X48),equivalent(equivalent(X46,X49),equivalent(equivalent(X47,X48),equivalent(X49,X47))))),
inference(resolution,status(thm),[c2,c1]) ).
cnf(c37,plain,
is_a_theorem(equivalent(equivalent(equivalent(X104,X103),X105),equivalent(equivalent(X105,X104),X103))),
inference(resolution,status(thm),[c4,c2]) ).
cnf(c103,plain,
is_a_theorem(equivalent(equivalent(equivalent(X657,X659),X658),equivalent(equivalent(X659,X658),X657))),
inference(resolution,status(thm),[c37,c43]) ).
cnf(c1234,plain,
is_a_theorem(equivalent(equivalent(X4175,equivalent(X4177,X4176)),equivalent(equivalent(X4175,X4177),X4176))),
inference(resolution,status(thm),[c103,c39]) ).
cnf(c13242,plain,
$false,
inference(resolution,status(thm),[c1234,prove_ec_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n017.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 : Sat Jul 2 18:24:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.22/9.44 # Version: 1.3
% 9.22/9.44 # SZS status Unsatisfiable
% 9.22/9.44 # SZS output start CNFRefutation
% See solution above
% 9.22/9.44
% 9.22/9.44 # Initial clauses : 3
% 9.22/9.44 # Processed clauses : 446
% 9.22/9.44 # Factors computed : 0
% 9.22/9.44 # Resolvents computed: 13254
% 9.22/9.44 # Tautologies deleted: 2
% 9.22/9.44 # Forward subsumed : 1224
% 9.22/9.44 # Backward subsumed : 15
% 9.22/9.44 # -------- CPU Time ---------
% 9.22/9.44 # User time : 9.056 s
% 9.22/9.44 # System time : 0.035 s
% 9.22/9.44 # Total time : 9.091 s
%------------------------------------------------------------------------------