TSTP Solution File: LCL106-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL106-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:30:31 EDT 2024
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 5 RR)
% Number of literals : 23 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_q_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(q_4,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X7,X9),equivalent(X7,X8)),equivalent(X9,X8))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_4) ).
cnf(c1,plain,
( ~ is_a_theorem(equivalent(equivalent(X14,X15),equivalent(X14,X13)))
| is_a_theorem(equivalent(X15,X13)) ),
inference(resolution,[status(thm)],[q_4,condensed_detachment]) ).
cnf(q_1,axiom,
is_a_theorem(equivalent(X4,equivalent(equivalent(X6,X5),equivalent(equivalent(X5,X6),X4)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_1) ).
cnf(c0,plain,
( ~ is_a_theorem(X11)
| is_a_theorem(equivalent(equivalent(X10,X12),equivalent(equivalent(X12,X10),X11))) ),
inference(resolution,[status(thm)],[q_1,condensed_detachment]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(X19,X21),equivalent(equivalent(X21,X19),equivalent(equivalent(equivalent(X20,X23),equivalent(X20,X22)),equivalent(X23,X22))))),
inference(resolution,[status(thm)],[c0,q_4]) ).
cnf(c6,plain,
( ~ is_a_theorem(equivalent(X30,X32))
| is_a_theorem(equivalent(equivalent(X32,X30),equivalent(equivalent(equivalent(X31,X33),equivalent(X31,X29)),equivalent(X33,X29)))) ),
inference(resolution,[status(thm)],[c2,condensed_detachment]) ).
cnf(c9,plain,
is_a_theorem(equivalent(equivalent(equivalent(X50,X49),equivalent(equivalent(X46,X50),equivalent(X46,X49))),equivalent(equivalent(equivalent(X51,X47),equivalent(X51,X48)),equivalent(X47,X48)))),
inference(resolution,[status(thm)],[c6,q_4]) ).
cnf(c24,plain,
is_a_theorem(equivalent(equivalent(equivalent(X53,equivalent(X52,X55)),equivalent(X53,equivalent(X52,X54))),equivalent(X55,X54))),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(c28,plain,
( ~ is_a_theorem(equivalent(equivalent(X56,equivalent(X57,X58)),equivalent(X56,equivalent(X57,X59))))
| is_a_theorem(equivalent(X58,X59)) ),
inference(resolution,[status(thm)],[c24,condensed_detachment]) ).
cnf(c3,plain,
is_a_theorem(equivalent(equivalent(X24,X28),equivalent(equivalent(X28,X24),equivalent(X25,equivalent(equivalent(X26,X27),equivalent(equivalent(X27,X26),X25)))))),
inference(resolution,[status(thm)],[c0,q_1]) ).
cnf(c8,plain,
( ~ is_a_theorem(equivalent(X35,X36))
| is_a_theorem(equivalent(equivalent(X36,X35),equivalent(X34,equivalent(equivalent(X38,X37),equivalent(equivalent(X37,X38),X34))))) ),
inference(resolution,[status(thm)],[c3,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(equivalent(equivalent(equivalent(X80,X79),equivalent(equivalent(X77,X80),equivalent(X77,X79))),equivalent(X76,equivalent(equivalent(X78,X81),equivalent(equivalent(X81,X78),X76))))),
inference(resolution,[status(thm)],[c8,q_4]) ).
cnf(c40,plain,
is_a_theorem(equivalent(equivalent(X83,X84),equivalent(equivalent(X82,X83),equivalent(X82,X84)))),
inference(resolution,[status(thm)],[c13,c28]) ).
cnf(c49,plain,
$false,
inference(resolution,[status(thm)],[c40,prove_q_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL106-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 15:17:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.57 % Version: 1.5
% 0.21/0.57 % SZS status Unsatisfiable
% 0.21/0.57 % SZS output start CNFRefutation
% See solution above
% 0.21/0.57
% 0.21/0.57 % Initial clauses : 4
% 0.21/0.57 % Processed clauses : 18
% 0.21/0.57 % Factors computed : 0
% 0.21/0.57 % Resolvents computed: 50
% 0.21/0.57 % Tautologies deleted: 0
% 0.21/0.57 % Forward subsumed : 2
% 0.21/0.57 % Backward subsumed : 0
% 0.21/0.57 % -------- CPU Time ---------
% 0.21/0.57 % User time : 0.182 s
% 0.21/0.57 % System time : 0.016 s
% 0.21/0.57 % Total time : 0.198 s
%------------------------------------------------------------------------------