TSTP Solution File: LCL066-1 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL066-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 : 300s
% DateTime : Thu May 9 17:30:25 EDT 2024
% Result : Unsatisfiable 1.14s 1.37s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 36 ( 25 unt; 0 nHn; 11 RR)
% Number of literals : 48 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 81 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_3,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_3) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X4,X5))
| ~ is_a_theorem(X4)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X14,implies(X16,X15)),implies(implies(X14,X16),implies(X14,X15)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X31,implies(X29,X30)))
| is_a_theorem(implies(implies(X31,X29),implies(X31,X30))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(implies(X6,X7)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_18]) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
cnf(c9,plain,
is_a_theorem(implies(X72,implies(implies(not(X71),not(X70)),implies(X70,X71)))),
inference(resolution,[status(thm)],[cn_49,c0]) ).
cnf(c43,plain,
is_a_theorem(implies(implies(X302,implies(not(X300),not(X301))),implies(X302,implies(X301,X300)))),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(c1,plain,
is_a_theorem(implies(X9,implies(X10,implies(X8,X10)))),
inference(resolution,[status(thm)],[c0,cn_18]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(X33,X32),implies(X33,X33))),
inference(resolution,[status(thm)],[c4,cn_18]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(X34,X34)) ),
inference(resolution,[status(thm)],[c13,condensed_detachment]) ).
cnf(c19,plain,
is_a_theorem(implies(X36,X36)),
inference(resolution,[status(thm)],[c17,c1]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(implies(X157,X156),X157),implies(implies(X157,X156),X156))),
inference(resolution,[status(thm)],[c19,c4]) ).
cnf(c122,plain,
( ~ is_a_theorem(implies(implies(X262,X261),X262))
| is_a_theorem(implies(implies(X262,X261),X261)) ),
inference(resolution,[status(thm)],[c25,condensed_detachment]) ).
cnf(c178,plain,
is_a_theorem(implies(implies(implies(X309,implies(X311,X309)),X310),X310)),
inference(resolution,[status(thm)],[c122,c1]) ).
cnf(c251,plain,
( ~ is_a_theorem(implies(implies(X364,implies(X365,X364)),X366))
| is_a_theorem(X366) ),
inference(resolution,[status(thm)],[c178,condensed_detachment]) ).
cnf(c296,plain,
is_a_theorem(implies(not(X383),implies(X383,X382))),
inference(resolution,[status(thm)],[c251,c43]) ).
cnf(c321,plain,
is_a_theorem(implies(X432,implies(not(X431),implies(X431,X433)))),
inference(resolution,[status(thm)],[c296,c0]) ).
cnf(c349,plain,
is_a_theorem(implies(implies(X1022,not(X1020)),implies(X1022,implies(X1020,X1021)))),
inference(resolution,[status(thm)],[c321,c4]) ).
cnf(c944,plain,
( ~ is_a_theorem(implies(X1255,not(X1257)))
| is_a_theorem(implies(X1255,implies(X1257,X1256))) ),
inference(resolution,[status(thm)],[c349,condensed_detachment]) ).
cnf(c8,plain,
( ~ is_a_theorem(implies(not(X28),not(X27)))
| is_a_theorem(implies(X27,X28)) ),
inference(resolution,[status(thm)],[cn_49,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(X109,implies(X107,X108)),implies(X109,X107)),implies(implies(X109,implies(X107,X108)),implies(X109,X108)))),
inference(resolution,[status(thm)],[c4,cn_35]) ).
cnf(c26,plain,
is_a_theorem(implies(X46,implies(X45,X45))),
inference(resolution,[status(thm)],[c19,c0]) ).
cnf(c32,plain,
is_a_theorem(implies(X59,implies(X58,implies(X60,X60)))),
inference(resolution,[status(thm)],[c26,c0]) ).
cnf(c185,plain,
is_a_theorem(implies(implies(implies(X314,implies(X316,X316)),X315),X315)),
inference(resolution,[status(thm)],[c122,c32]) ).
cnf(c259,plain,
( ~ is_a_theorem(implies(implies(X447,implies(X448,X448)),X449))
| is_a_theorem(X449) ),
inference(resolution,[status(thm)],[c185,condensed_detachment]) ).
cnf(c369,plain,
is_a_theorem(implies(implies(X608,implies(X608,X607)),implies(X608,X607))),
inference(resolution,[status(thm)],[c259,c12]) ).
cnf(c526,plain,
( ~ is_a_theorem(implies(X690,implies(X690,X689)))
| is_a_theorem(implies(X690,X689)) ),
inference(resolution,[status(thm)],[c369,condensed_detachment]) ).
cnf(c353,plain,
is_a_theorem(implies(implies(implies(not(X1032),implies(X1032,X1033)),X1034),X1034)),
inference(resolution,[status(thm)],[c321,c122]) ).
cnf(c952,plain,
( ~ is_a_theorem(implies(implies(not(X1268),implies(X1268,X1269)),X1270))
| is_a_theorem(X1270) ),
inference(resolution,[status(thm)],[c353,condensed_detachment]) ).
cnf(c1219,plain,
is_a_theorem(implies(not(not(X1304)),implies(X1305,X1304))),
inference(resolution,[status(thm)],[c952,c43]) ).
cnf(c1263,plain,
is_a_theorem(implies(not(not(X1306)),X1306)),
inference(resolution,[status(thm)],[c1219,c526]) ).
cnf(c1273,plain,
is_a_theorem(implies(X1313,not(not(X1313)))),
inference(resolution,[status(thm)],[c1263,c8]) ).
cnf(c1293,plain,
is_a_theorem(implies(X1326,implies(not(X1326),X1327))),
inference(resolution,[status(thm)],[c1273,c944]) ).
cnf(c1430,plain,
$false,
inference(resolution,[status(thm)],[c1293,prove_cn_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL066-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 14:22:07 EDT 2024
% 0.13/0.36 % CPUTime :
% 1.14/1.37 % Version: 1.5
% 1.14/1.37 % SZS status Unsatisfiable
% 1.14/1.37 % SZS output start CNFRefutation
% See solution above
% 1.14/1.37
% 1.14/1.37 % Initial clauses : 5
% 1.14/1.37 % Processed clauses : 135
% 1.14/1.37 % Factors computed : 0
% 1.14/1.37 % Resolvents computed: 1441
% 1.14/1.37 % Tautologies deleted: 1
% 1.14/1.37 % Forward subsumed : 293
% 1.14/1.37 % Backward subsumed : 2
% 1.14/1.37 % -------- CPU Time ---------
% 1.14/1.37 % User time : 0.984 s
% 1.14/1.37 % System time : 0.019 s
% 1.14/1.37 % Total time : 1.003 s
%------------------------------------------------------------------------------