TSTP Solution File: LCL112-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL112-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 17:30:33 EDT 2024
% Result : Unsatisfiable 2.16s 2.36s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 17 unt; 0 nHn; 7 RR)
% Number of literals : 32 ( 0 equ; 9 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 50 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_mv_29,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_29) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X4))
| ~ is_a_theorem(X5)
| is_a_theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(mv_5,axiom,
is_a_theorem(implies(implies(not(X26),not(X25)),implies(X25,X26))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
cnf(c8,plain,
( ~ is_a_theorem(implies(not(X28),not(X27)))
| is_a_theorem(implies(X27,X28)) ),
inference(resolution,[status(thm)],[mv_5,condensed_detachment]) ).
cnf(mv_2,axiom,
is_a_theorem(implies(implies(X13,X11),implies(implies(X11,X12),implies(X13,X12)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X33,X32))
| is_a_theorem(implies(implies(X32,X31),implies(X33,X31))) ),
inference(resolution,[status(thm)],[mv_2,condensed_detachment]) ).
cnf(mv_1,axiom,
is_a_theorem(implies(X3,implies(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(X35,X36),X34),implies(X36,X34))),
inference(resolution,[status(thm)],[c4,mv_1]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(implies(X37,X39),X38))
| is_a_theorem(implies(X39,X38)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c26,plain,
is_a_theorem(implies(not(X42),implies(X42,X43))),
inference(resolution,[status(thm)],[c18,mv_5]) ).
cnf(c30,plain,
is_a_theorem(implies(implies(implies(X239,X238),X237),implies(not(X239),X237))),
inference(resolution,[status(thm)],[c26,c4]) ).
cnf(c332,plain,
( ~ is_a_theorem(implies(implies(X883,X885),X884))
| is_a_theorem(implies(not(X883),X884)) ),
inference(resolution,[status(thm)],[c30,condensed_detachment]) ).
cnf(mv_3,axiom,
is_a_theorem(implies(implies(implies(X30,X29),X29),implies(implies(X29,X30),X30))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
cnf(c25,plain,
is_a_theorem(implies(X57,implies(implies(X57,X56),X56))),
inference(resolution,[status(thm)],[c18,mv_3]) ).
cnf(c39,plain,
( ~ is_a_theorem(X67)
| is_a_theorem(implies(implies(X67,X66),X66)) ),
inference(resolution,[status(thm)],[c25,condensed_detachment]) ).
cnf(c59,plain,
is_a_theorem(implies(implies(implies(X109,implies(X107,X109)),X108),X108)),
inference(resolution,[status(thm)],[c39,mv_1]) ).
cnf(c123,plain,
is_a_theorem(implies(X110,X110)),
inference(resolution,[status(thm)],[c59,c18]) ).
cnf(c134,plain,
is_a_theorem(implies(implies(implies(X136,X136),X137),X137)),
inference(resolution,[status(thm)],[c123,c39]) ).
cnf(c17,plain,
is_a_theorem(implies(implies(implies(X181,X183),X182),implies(implies(not(X183),not(X181)),X182))),
inference(resolution,[status(thm)],[c4,mv_5]) ).
cnf(c214,plain,
( ~ is_a_theorem(implies(implies(X2341,X2339),X2340))
| is_a_theorem(implies(implies(not(X2339),not(X2341)),X2340)) ),
inference(resolution,[status(thm)],[c17,condensed_detachment]) ).
cnf(c3009,plain,
is_a_theorem(implies(implies(not(X2343),not(implies(X2342,X2342))),X2343)),
inference(resolution,[status(thm)],[c214,c134]) ).
cnf(c3086,plain,
is_a_theorem(implies(not(not(X2348)),X2348)),
inference(resolution,[status(thm)],[c3009,c332]) ).
cnf(c3104,plain,
is_a_theorem(implies(X2355,not(not(X2355)))),
inference(resolution,[status(thm)],[c3086,c8]) ).
cnf(c3148,plain,
$false,
inference(resolution,[status(thm)],[c3104,prove_mv_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL112-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 14:23:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 2.16/2.36 % Version: 1.5
% 2.16/2.36 % SZS status Unsatisfiable
% 2.16/2.36 % SZS output start CNFRefutation
% See solution above
% 2.16/2.36
% 2.16/2.36 % Initial clauses : 6
% 2.16/2.36 % Processed clauses : 196
% 2.16/2.36 % Factors computed : 0
% 2.16/2.36 % Resolvents computed: 3155
% 2.16/2.36 % Tautologies deleted: 1
% 2.16/2.36 % Forward subsumed : 585
% 2.16/2.36 % Backward subsumed : 0
% 2.16/2.36 % -------- CPU Time ---------
% 2.16/2.36 % User time : 1.970 s
% 2.16/2.36 % System time : 0.019 s
% 2.16/2.36 % Total time : 1.989 s
%------------------------------------------------------------------------------