TSTP Solution File: LCL154-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LCL154-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n008.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 07:06:17 EDT 2022
% Result : Unsatisfiable 4.18s 4.40s
% Output : CNFRefutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 14 RR)
% Number of literals : 43 ( 42 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 42 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = implies(truth,X),
file('/tmp/MaedMax_1359') ).
cnf(eq_1,axiom,
truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
file('/tmp/MaedMax_1359') ).
cnf(eq_2,axiom,
implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/tmp/MaedMax_1359') ).
cnf(eq_3,axiom,
truth = implies(implies(not(X),not(Y)),implies(Y,X)),
file('/tmp/MaedMax_1359') ).
cnf(eq_4,axiom,
implies(not(X),Y) = or(X,Y),
file('/tmp/MaedMax_1359') ).
cnf(eq_5,axiom,
or(X,Y) = or(Y,X),
file('/tmp/MaedMax_1359') ).
cnf(eq_6,axiom,
not(or(not(X),not(Y))) = and(X,Y),
file('/tmp/MaedMax_1359') ).
cnf(eq_7,axiom,
or(and(X,not(Y)),and(not(X),Y)) = xor(X,Y),
file('/tmp/MaedMax_1359') ).
cnf(eq_8,axiom,
not(truth) = falsehood,
file('/tmp/MaedMax_1359') ).
cnf(eq_9,negated_conjecture,
xor(x,falsehood) != x,
file('/tmp/MaedMax_1359') ).
cnf(eq_10,plain,
and(X,Y) = not(implies(not(not(X)),not(Y))),
inference(rw,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_11,plain,
implies(not(not(implies(not(not(X)),not(not(Y))))),not(implies(not(not(not(X))),not(Y)))) = xor(X,Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_10]),eq_10]),eq_4]) ).
cnf(eq_12,plain,
implies(not(X),Y) = implies(not(Y),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_4]),eq_4]) ).
cnf(eq_13,plain,
implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_14,plain,
implies(implies(not(X),not(truth)),X) = truth,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_15,plain,
implies(X,X) = implies(implies(X,truth),truth),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_16,plain,
truth = implies(X,implies(implies(X,Y),Y)),
inference(rw,[status(thm)],[eq_13,eq_0]) ).
cnf(eq_17,plain,
truth = implies(implies(truth,Y),Y),
inference(cp,[status(thm)],[eq_16,eq_0]) ).
cnf(eq_18,plain,
implies(X,implies(X,X)) = truth,
inference(cp,[status(thm)],[eq_15,eq_16]) ).
cnf(eq_19,plain,
truth = implies(X,X),
inference(rw,[status(thm)],[eq_17,eq_0]) ).
cnf(eq_20,plain,
truth = implies(X,implies(X,X)),
eq_18 ).
cnf(eq_21,plain,
truth = implies(X,truth),
inference(rw,[status(thm)],[eq_20,eq_19]) ).
cnf(eq_22,plain,
implies(not(not(X)),X) = truth,
inference(cp,[status(thm)],[eq_12,eq_19]) ).
cnf(eq_23,plain,
implies(truth,implies(x101,not(not(x101)))) = truth,
inference(cp,[status(thm)],[eq_22,eq_3]) ).
cnf(eq_24,plain,
implies(truth,not(not(truth))) = truth,
inference(cp,[status(thm)],[eq_22,eq_14]) ).
cnf(eq_25,plain,
implies(truth,X) = implies(implies(X,not(not(X))),not(not(X))),
inference(cp,[status(thm)],[eq_22,eq_2]) ).
cnf(eq_26,plain,
truth = not(not(truth)),
inference(rw,[status(thm)],[eq_24,eq_0]) ).
cnf(eq_27,plain,
truth = implies(X,not(not(X))),
inference(rw,[status(thm)],[eq_23,eq_0]) ).
cnf(eq_28,plain,
truth = not(falsehood),
inference(rw,[status(thm)],[eq_26,eq_8]) ).
cnf(eq_29,plain,
X = not(not(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_0]),eq_27]),eq_0]) ).
cnf(eq_30,plain,
implies(truth,x101) = implies(not(x101),not(truth)),
inference(cp,[status(thm)],[eq_26,eq_12]) ).
cnf(eq_31,plain,
X = implies(not(X),not(truth)),
inference(rw,[status(thm)],[eq_30,eq_0]) ).
cnf(eq_32,plain,
X = implies(not(X),falsehood),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_28]),eq_29]) ).
cnf(eq_33,plain,
implies(not(X),implies(X,falsehood)) = truth,
inference(cp,[status(thm)],[eq_32,eq_16]) ).
cnf(eq_34,negated_conjecture,
implies(not(not(implies(not(not(x)),not(not(falsehood))))),not(implies(not(not(not(x))),not(falsehood)))) != x,
inference(rw,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_35,negated_conjecture,
implies(not(not(implies(not(not(x)),falsehood))),not(implies(not(not(not(x))),truth))) != x,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_28]),eq_28]),eq_8]) ).
cnf(eq_36,negated_conjecture,
implies(not(not(implies(not(falsehood),not(x)))),not(implies(not(not(not(x))),truth))) != x,
inference(cp,[status(thm)],[eq_12,eq_35]) ).
cnf(eq_37,negated_conjecture,
implies(not(not(not(x))),not(implies(not(not(not(x))),truth))) != x,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_28]),eq_0]) ).
cnf(eq_38,plain,
implies(not(implies(X,falsehood)),X) = truth,
inference(cp,[status(thm)],[eq_12,eq_33]) ).
cnf(eq_39,plain,
truth = implies(not(implies(X,falsehood)),X),
inference(cp,[status(thm)],[eq_33,eq_12]) ).
cnf(eq_40,negated_conjecture,
implies(not(not(not(x))),not(implies(not(not(not(x))),implies(not(implies(X,falsehood)),X)))) != x,
inference(cp,[status(thm)],[eq_39,eq_37]) ).
cnf(eq_41,negated_conjecture,
x != x,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_29]),eq_29]),eq_38]),eq_21]),eq_8]),eq_32]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL154-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 05:31:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.18/4.40 % SZS status Unsatisfiable
% 4.18/4.40 % SZS output start CNFRefutation for /tmp/MaedMax_1359
% See solution above
% 4.18/4.40
%------------------------------------------------------------------------------