TSTP Solution File: LCL008-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 13:51:26 EDT 2022
% Result : Unsatisfiable 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ec_4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
input ).
cnf(yql,axiom,
is_a_theorem(equivalent(equivalent(X5,X4),equivalent(equivalent(X6,X4),equivalent(X5,X6)))),
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(X10,equivalent(equivalent(X13,X12),equivalent(X11,X13))),equivalent(equivalent(X11,X12),X10))),
inference(resolution,status(thm),[c0,yql]) ).
cnf(c3,plain,
( ~ is_a_theorem(equivalent(X20,equivalent(equivalent(X21,X22),equivalent(X19,X21))))
| is_a_theorem(equivalent(equivalent(X19,X22),X20)) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c8,plain,
is_a_theorem(equivalent(equivalent(X23,X24),equivalent(X23,X24))),
inference(resolution,status(thm),[c3,yql]) ).
cnf(c9,plain,
is_a_theorem(equivalent(equivalent(X27,equivalent(X29,X28)),equivalent(equivalent(X29,X28),X27))),
inference(resolution,status(thm),[c8,c0]) ).
cnf(c13,plain,
is_a_theorem(equivalent(equivalent(X39,X40),equivalent(equivalent(X39,X41),equivalent(X41,X40)))),
inference(resolution,status(thm),[c9,c3]) ).
cnf(c19,plain,
is_a_theorem(equivalent(equivalent(X42,X42),equivalent(X43,X43))),
inference(resolution,status(thm),[c13,c3]) ).
cnf(c23,plain,
( ~ is_a_theorem(equivalent(X46,X46))
| is_a_theorem(equivalent(X47,X47)) ),
inference(resolution,status(thm),[c19,condensed_detachment]) ).
cnf(c24,plain,
is_a_theorem(equivalent(X48,X48)),
inference(resolution,status(thm),[c23,c9]) ).
cnf(c29,plain,
is_a_theorem(equivalent(equivalent(X57,X58),equivalent(X58,X57))),
inference(resolution,status(thm),[c24,c0]) ).
cnf(c41,plain,
$false,
inference(resolution,status(thm),[c29,prove_ec_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.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 10:19:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/0.57 # Version: 1.3
% 0.38/0.57 # SZS status Unsatisfiable
% 0.38/0.57 # SZS output start CNFRefutation
% See solution above
% 0.38/0.57
% 0.38/0.57 # Initial clauses : 3
% 0.38/0.57 # Processed clauses : 16
% 0.38/0.57 # Factors computed : 0
% 0.38/0.57 # Resolvents computed: 43
% 0.38/0.57 # Tautologies deleted: 2
% 0.38/0.57 # Forward subsumed : 4
% 0.38/0.57 # Backward subsumed : 3
% 0.38/0.57 # -------- CPU Time ---------
% 0.38/0.57 # User time : 0.206 s
% 0.38/0.57 # System time : 0.017 s
% 0.38/0.57 # Total time : 0.223 s
%------------------------------------------------------------------------------