TSTP Solution File: LCL110-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL110-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 2.31s 2.52s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 16 unt; 0 nHn; 6 RR)
% Number of literals : 29 ( 0 equ; 8 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 : 47 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_mv_24,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_24) ).
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(mv_2,axiom,
is_a_theorem(implies(implies(X11,X13),implies(implies(X13,X12),implies(X11,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_5,axiom,
is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
cnf(mv_1,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(X34,X35),X36),implies(X35,X36))),
inference(resolution,[status(thm)],[c4,mv_1]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(implies(X38,X37),X39))
| is_a_theorem(implies(X37,X39)) ),
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(X237,X239),X238),implies(not(X237),X238))),
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(X29,X30),X30),implies(implies(X30,X29),X29))),
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(X66)
| is_a_theorem(implies(implies(X66,X67),X67)) ),
inference(resolution,[status(thm)],[c25,condensed_detachment]) ).
cnf(c59,plain,
is_a_theorem(implies(implies(implies(X107,implies(X109,X107)),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(X2340,X2339),X2341))
| is_a_theorem(implies(implies(not(X2339),not(X2340)),X2341)) ),
inference(resolution,[status(thm)],[c17,condensed_detachment]) ).
cnf(c3010,plain,
is_a_theorem(implies(implies(not(X2343),not(implies(X2342,X2342))),X2343)),
inference(resolution,[status(thm)],[c214,c134]) ).
cnf(c3085,plain,
is_a_theorem(implies(not(not(X2348)),X2348)),
inference(resolution,[status(thm)],[c3010,c332]) ).
cnf(c3104,plain,
$false,
inference(resolution,[status(thm)],[c3085,prove_mv_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL110-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n025.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 15:00:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 2.31/2.52 % Version: 1.5
% 2.31/2.52 % SZS status Unsatisfiable
% 2.31/2.52 % SZS output start CNFRefutation
% See solution above
% 2.31/2.52
% 2.31/2.52 % Initial clauses : 6
% 2.31/2.52 % Processed clauses : 194
% 2.31/2.52 % Factors computed : 0
% 2.31/2.52 % Resolvents computed: 3131
% 2.31/2.52 % Tautologies deleted: 1
% 2.31/2.52 % Forward subsumed : 585
% 2.31/2.52 % Backward subsumed : 0
% 2.31/2.52 % -------- CPU Time ---------
% 2.31/2.52 % User time : 2.125 s
% 2.31/2.52 % System time : 0.026 s
% 2.31/2.52 % Total time : 2.151 s
%------------------------------------------------------------------------------