TSTP Solution File: REL001-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL001-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n022.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 0.84s 1.03s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 14 RR)
% Number of literals : 37 ( 36 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_14577') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_14577') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_14577') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_14577') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_14577') ).
cnf(eq_5,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_14577') ).
cnf(eq_6,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_14577') ).
cnf(eq_7,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_14577') ).
cnf(eq_8,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_14577') ).
cnf(eq_9,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_14577') ).
cnf(eq_10,negated_conjecture,
join(zero,sk1) != sk1,
file('/tmp/MaedMax_14577') ).
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(sk1,zero) != sk1,
inference(rw,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_13,plain,
join(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_8,eq_2]) ).
cnf(eq_14,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_15,plain,
composition(converse(one),converse(A)) = converse(A),
eq_14 ).
cnf(eq_16,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_13 ).
cnf(eq_17,plain,
complement(join(A,complement(A))) = zero,
inference(cp,[status(thm)],[eq_8,eq_11]) ).
cnf(eq_18,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_5,eq_15]) ).
cnf(eq_19,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_18,eq_5]) ).
cnf(eq_20,plain,
A = join(zero,meet(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_11]),eq_3]) ).
cnf(eq_21,plain,
join(complement(top),complement(join(complement(top),zero))) = top,
inference(cp,[status(thm)],[eq_11,eq_16]) ).
cnf(eq_22,plain,
join(zero,complement(join(zero,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_11]),eq_11]) ).
cnf(eq_23,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_19,eq_4]) ).
cnf(eq_24,plain,
complement(join(zero,complement(join(zero,zero)))) = zero,
inference(cp,[status(thm)],[eq_22,eq_11]) ).
cnf(eq_25,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_19,eq_23]) ).
cnf(eq_26,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_25,eq_7]) ).
cnf(eq_27,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_23]),eq_25]) ).
cnf(eq_28,plain,
join(zero,complement(join(zero,complement(join(zero,zero))))) = complement(join(zero,complement(join(zero,zero)))),
inference(cp,[status(thm)],[eq_24,eq_27]) ).
cnf(eq_29,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_24]),eq_24]) ).
cnf(eq_30,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_29,eq_1]) ).
cnf(eq_31,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_30 ).
cnf(eq_32,plain,
join(zero,A) = join(zero,meet(A,A)),
inference(cp,[status(thm)],[eq_20,eq_31]) ).
cnf(eq_33,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_32,eq_20]) ).
cnf(eq_34,negated_conjecture,
join(sk1,complement(join(A,complement(A)))) != sk1,
inference(cp,[status(thm)],[eq_17,eq_12]) ).
cnf(eq_35,negated_conjecture,
sk1 != sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_17]),eq_0]),eq_33]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : REL001-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Tue Jul 26 05:44:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.84/1.03 % SZS status Unsatisfiable
% 0.84/1.03 % SZS output start CNFRefutation for /tmp/MaedMax_14577
% See solution above
% 0.84/1.03
%------------------------------------------------------------------------------