TSTP Solution File: REL002-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %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 : Tue Jul 26 07:11:31 EDT 2022
% Result : Unsatisfiable 0.90s 1.11s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of clauses : 63 ( 63 unt; 0 nHn; 26 RR)
% Number of literals : 63 ( 62 equ; 10 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_1713') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_1713') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_1713') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_1713') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_1713') ).
cnf(eq_5,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_1713') ).
cnf(eq_6,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_1713') ).
cnf(eq_7,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_1713') ).
cnf(eq_8,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_1713') ).
cnf(eq_9,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_1713') ).
cnf(eq_10,negated_conjecture,
join(sk1,top) != top,
file('/tmp/MaedMax_1713') ).
cnf(eq_11,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_3]),eq_8]) ).
cnf(eq_12,negated_conjecture,
join(top,sk1) != top,
inference(rw,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_13,plain,
join(top,x102) = join(A,join(complement(A),x102)),
inference(cp,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_14,plain,
join(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_8,eq_2]) ).
cnf(eq_15,plain,
join(complement(join(complement(x100),complement(complement(complement(x100))))),complement(top)) = x100,
inference(cp,[status(thm)],[eq_8,eq_2]) ).
cnf(eq_16,plain,
join(composition(converse(A),complement(A)),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_17,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_18,plain,
meet(join(complement(A),complement(B)),meet(A,B)) = zero,
inference(cp,[status(thm)],[eq_3,eq_9]) ).
cnf(eq_19,plain,
composition(converse(one),converse(A)) = converse(A),
eq_17 ).
cnf(eq_20,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_14 ).
cnf(eq_21,plain,
A = join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))),
inference(rw,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_22,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_13 ).
cnf(eq_23,plain,
complement(join(A,complement(A))) = zero,
inference(cp,[status(thm)],[eq_8,eq_11]) ).
cnf(eq_24,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_5,eq_19]) ).
cnf(eq_25,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_24,eq_5]) ).
cnf(eq_26,negated_conjecture,
join(A,join(complement(A),sk1)) != top,
inference(cp,[status(thm)],[eq_22,eq_12]) ).
cnf(eq_27,plain,
A = join(zero,meet(A,complement(complement(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_11]),eq_3]) ).
cnf(eq_28,plain,
join(complement(top),complement(join(complement(top),zero))) = top,
inference(cp,[status(thm)],[eq_11,eq_20]) ).
cnf(eq_29,plain,
join(zero,complement(join(zero,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_11]),eq_11]) ).
cnf(eq_30,plain,
join(complement(one),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_25,eq_16]) ).
cnf(eq_31,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_25,eq_4]) ).
cnf(eq_32,plain,
complement(join(zero,complement(join(zero,zero)))) = zero,
inference(cp,[status(thm)],[eq_29,eq_11]) ).
cnf(eq_33,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_25,eq_31]) ).
cnf(eq_34,negated_conjecture,
join(A,join(complement(A),sk1)) != join(zero,complement(join(zero,zero))),
inference(rw,[status(thm)],[eq_26,eq_29]) ).
cnf(eq_35,negated_conjecture,
join(join(complement(B),sk1),B) != join(zero,complement(join(zero,zero))),
inference(cp,[status(thm)],[eq_0,eq_34]) ).
cnf(eq_36,negated_conjecture,
join(complement(A),join(sk1,A)) != join(zero,complement(join(zero,zero))),
inference(rw,[status(thm)],[eq_35,eq_1]) ).
cnf(eq_37,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_33,eq_7]) ).
cnf(eq_38,plain,
meet(complement(one),meet(one,one)) = zero,
inference(cp,[status(thm)],[eq_30,eq_18]) ).
cnf(eq_39,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_31]),eq_33]) ).
cnf(eq_40,plain,
join(zero,complement(join(zero,complement(join(zero,zero))))) = complement(join(zero,complement(join(zero,zero)))),
inference(cp,[status(thm)],[eq_32,eq_39]) ).
cnf(eq_41,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_32]),eq_32]) ).
cnf(eq_42,plain,
top = join(zero,complement(zero)),
inference(rw,[status(thm)],[eq_29,eq_41]) ).
cnf(eq_43,plain,
A = join(zero,complement(complement(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_42]),eq_39]),eq_23]) ).
cnf(eq_44,negated_conjecture,
join(complement(A),join(sk1,A)) != join(zero,complement(zero)),
inference(rw,[status(thm)],[eq_36,eq_41]) ).
cnf(eq_45,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_41,eq_1]) ).
cnf(eq_46,plain,
join(meet(A,B),complement(join(complement(A),complement(B)))) = complement(join(complement(A),complement(B))),
inference(cp,[status(thm)],[eq_3,eq_39]) ).
cnf(eq_47,plain,
complement(complement(A)) = meet(A,A),
inference(cp,[status(thm)],[eq_39,eq_3]) ).
cnf(eq_48,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_45 ).
cnf(eq_49,plain,
join(meet(A,B),meet(A,B)) = meet(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_3]),eq_3]) ).
cnf(eq_50,plain,
join(zero,A) = join(zero,meet(A,complement(complement(A)))),
inference(cp,[status(thm)],[eq_27,eq_48]) ).
cnf(eq_51,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_50,eq_27]) ).
cnf(eq_52,plain,
top = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_51]),eq_51]) ).
cnf(eq_53,plain,
join(A,complement(A)) = complement(zero),
inference(rw,[status(thm)],[eq_8,eq_52]) ).
cnf(eq_54,plain,
A = meet(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_47]),eq_51]) ).
cnf(eq_55,plain,
join(A,complement(A)) = complement(meet(complement(one),one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_38]),eq_54]) ).
cnf(eq_56,plain,
zero = meet(complement(one),one),
inference(rw,[status(thm)],[eq_38,eq_54]) ).
cnf(eq_57,negated_conjecture,
join(complement(A),join(sk1,A)) != complement(meet(complement(one),one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_56]),eq_56]),eq_55]) ).
cnf(eq_58,plain,
join(A,meet(A,A)) = meet(A,A),
inference(cp,[status(thm)],[eq_54,eq_49]) ).
cnf(eq_59,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_54]),eq_54]) ).
cnf(eq_60,negated_conjecture,
join(complement(sk1),sk1) != complement(meet(complement(one),one)),
inference(cp,[status(thm)],[eq_59,eq_57]) ).
cnf(eq_61,negated_conjecture,
complement(meet(complement(one),one)) != complement(meet(complement(one),one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_0]),eq_55]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 05:45:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.90/1.11 % SZS status Unsatisfiable
% 0.90/1.11 % SZS output start CNFRefutation for /tmp/MaedMax_1713
% See solution above
% 0.90/1.11
%------------------------------------------------------------------------------