TSTP Solution File: LCL110-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL110-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 13:52:07 EDT 2022
% Result : Unsatisfiable 1.58s 1.79s
% Output : Refutation 1.58s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_mv_24,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X4,X5))
| ~ is_a_theorem(X4)
| is_a_theorem(X5) ),
input ).
cnf(mv_2,axiom,
is_a_theorem(implies(implies(X12,X13),implies(implies(X13,X11),implies(X12,X11)))),
input ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X31,X32))
| is_a_theorem(implies(implies(X32,X33),implies(X31,X33))) ),
inference(resolution,status(thm),[mv_2,condensed_detachment]) ).
cnf(mv_5,axiom,
is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
input ).
cnf(mv_1,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
input ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(X35,X34),X36),implies(X34,X36))),
inference(resolution,status(thm),[c5,mv_1]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(X39,X38),X37))
| is_a_theorem(implies(X38,X37)) ),
inference(resolution,status(thm),[c15,condensed_detachment]) ).
cnf(c21,plain,
is_a_theorem(implies(not(X43),implies(X43,X42))),
inference(resolution,status(thm),[c20,mv_5]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(implies(X237,X239),X238),implies(not(X237),X238))),
inference(resolution,status(thm),[c21,c5]) ).
cnf(c339,plain,
( ~ is_a_theorem(implies(implies(X893,X894),X895))
| is_a_theorem(implies(not(X893),X895)) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(mv_3,axiom,
is_a_theorem(implies(implies(implies(X29,X30),X30),implies(implies(X30,X29),X29))),
input ).
cnf(c26,plain,
is_a_theorem(implies(X56,implies(implies(X56,X57),X57))),
inference(resolution,status(thm),[c20,mv_3]) ).
cnf(c42,plain,
( ~ is_a_theorem(X67)
| is_a_theorem(implies(implies(X67,X66),X66)) ),
inference(resolution,status(thm),[c26,condensed_detachment]) ).
cnf(c65,plain,
is_a_theorem(implies(implies(implies(X108,implies(X109,X108)),X110),X110)),
inference(resolution,status(thm),[c42,mv_1]) ).
cnf(c121,plain,
is_a_theorem(implies(X111,X111)),
inference(resolution,status(thm),[c65,c20]) ).
cnf(c131,plain,
is_a_theorem(implies(implies(implies(X133,X133),X132),X132)),
inference(resolution,status(thm),[c121,c42]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(X128,X127),X129),implies(implies(not(X127),not(X128)),X129))),
inference(resolution,status(thm),[c5,mv_5]) ).
cnf(c160,plain,
( ~ is_a_theorem(implies(implies(X1880,X1882),X1881))
| is_a_theorem(implies(implies(not(X1882),not(X1880)),X1881)) ),
inference(resolution,status(thm),[c12,condensed_detachment]) ).
cnf(c2095,plain,
is_a_theorem(implies(implies(not(X1886),not(implies(X1887,X1887))),X1886)),
inference(resolution,status(thm),[c160,c131]) ).
cnf(c2142,plain,
is_a_theorem(implies(not(not(X1898)),X1898)),
inference(resolution,status(thm),[c2095,c339]) ).
cnf(c2170,plain,
$false,
inference(resolution,status(thm),[c2142,prove_mv_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL110-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 18:11:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.58/1.79 # Version: 1.3
% 1.58/1.79 # SZS status Unsatisfiable
% 1.58/1.79 # SZS output start CNFRefutation
% See solution above
% 1.58/1.79
% 1.58/1.79 # Initial clauses : 6
% 1.58/1.79 # Processed clauses : 171
% 1.58/1.79 # Factors computed : 0
% 1.58/1.79 # Resolvents computed: 2173
% 1.58/1.79 # Tautologies deleted: 1
% 1.58/1.79 # Forward subsumed : 467
% 1.58/1.79 # Backward subsumed : 0
% 1.58/1.79 # -------- CPU Time ---------
% 1.58/1.79 # User time : 1.415 s
% 1.58/1.79 # System time : 0.009 s
% 1.58/1.79 # Total time : 1.424 s
%------------------------------------------------------------------------------