TSTP Solution File: LCL135-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LCL135-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 : Tue Jul 26 07:06:16 EDT 2022
% Result : Unsatisfiable 0.17s 0.51s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 6 RR)
% Number of literals : 20 ( 19 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = implies(truth,X),
file('/tmp/MaedMax_10271') ).
cnf(eq_1,axiom,
truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
file('/tmp/MaedMax_10271') ).
cnf(eq_2,axiom,
implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/tmp/MaedMax_10271') ).
cnf(eq_3,negated_conjecture,
truth != implies(x,implies(y,x)),
file('/tmp/MaedMax_10271') ).
cnf(eq_4,plain,
implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_5,plain,
implies(implies(x100,truth),implies(X,implies(x100,X))) = truth,
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_6,plain,
implies(X,X) = implies(implies(X,truth),truth),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_7,plain,
truth = implies(X,implies(implies(X,Y),Y)),
inference(rw,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_8,plain,
truth = implies(implies(X,truth),implies(Y,implies(X,Y))),
eq_5 ).
cnf(eq_9,plain,
implies(X,implies(X,X)) = truth,
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_10,plain,
implies(implies(implies(truth,truth),truth),implies(x101,implies(truth,x101))) = truth,
inference(cp,[status(thm)],[eq_6,eq_8]) ).
cnf(eq_11,plain,
truth = implies(X,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_0]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_12,plain,
truth = implies(X,implies(X,X)),
eq_9 ).
cnf(eq_13,negated_conjecture,
implies(X,implies(implies(X,Y),Y)) != implies(x,implies(y,x)),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_14,plain,
truth = implies(X,truth),
inference(rw,[status(thm)],[eq_12,eq_11]) ).
cnf(eq_15,negated_conjecture,
implies(X,implies(implies(Y,X),X)) != implies(x,implies(y,x)),
inference(cp,[status(thm)],[eq_2,eq_13]) ).
cnf(eq_16,plain,
implies(truth,implies(x101,implies(X,x101))) = truth,
inference(cp,[status(thm)],[eq_14,eq_8]) ).
cnf(eq_17,plain,
truth = implies(X,implies(Y,X)),
inference(rw,[status(thm)],[eq_16,eq_0]) ).
cnf(eq_18,negated_conjecture,
truth != truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_17]),eq_17]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL135-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : run_maedmax %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Jul 26 05:22:45 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.51 % SZS status Unsatisfiable
% 0.17/0.51 % SZS output start CNFRefutation for /tmp/MaedMax_10271
% See solution above
% 0.17/0.51
%------------------------------------------------------------------------------