TSTP Solution File: LAT090-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n027.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 07:05:32 EDT 2022
% Result : Unsatisfiable 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 4 RR)
% Number of literals : 23 ( 22 equ; 2 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = join(meet(A,B),meet(A,join(A,B))),
file('/tmp/MaedMax_1351') ).
cnf(eq_1,axiom,
A = join(meet(B,A),meet(A,join(B,A))),
file('/tmp/MaedMax_1351') ).
cnf(eq_2,axiom,
A = meet(meet(join(A,B),join(C,A)),A),
file('/tmp/MaedMax_1351') ).
cnf(eq_3,axiom,
A = join(join(meet(A,B),meet(C,A)),A),
file('/tmp/MaedMax_1351') ).
cnf(eq_4,negated_conjecture,
join(a,a) != a,
file('/tmp/MaedMax_1351') ).
cnf(eq_5,plain,
meet(meet(A,join(x102,meet(B,A))),meet(B,A)) = meet(B,A),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,plain,
meet(meet(join(A,x101),A),A) = A,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_7,plain,
join(join(meet(A,x101),A),A) = A,
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_8,plain,
A = join(join(meet(A,B),A),A),
eq_7 ).
cnf(eq_9,plain,
A = meet(meet(join(A,B),A),A),
eq_6 ).
cnf(eq_10,plain,
meet(A,B) = meet(meet(B,join(C,meet(A,B))),meet(A,B)),
eq_5 ).
cnf(eq_11,plain,
join(meet(join(meet(A,B),A),A),meet(A,A)) = A,
inference(cp,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_12,plain,
meet(meet(A,join(x101,meet(meet(join(A,B),join(C,A)),A))),A) = meet(meet(join(A,B),join(C,A)),A),
inference(cp,[status(thm)],[eq_2,eq_10]) ).
cnf(eq_13,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_14,plain,
A = meet(meet(A,join(B,A)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_2]),eq_2]) ).
cnf(eq_15,plain,
meet(meet(meet(A,join(B,A)),A),meet(meet(A,join(B,A)),A)) = meet(meet(A,join(B,A)),A),
inference(cp,[status(thm)],[eq_14,eq_13]) ).
cnf(eq_16,plain,
A = meet(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_14]),eq_14]),eq_14]) ).
cnf(eq_17,plain,
meet(join(x101,x101),x101) = x101,
inference(cp,[status(thm)],[eq_16,eq_2]) ).
cnf(eq_18,plain,
join(meet(join(A,A),A),meet(A,A)) = A,
inference(cp,[status(thm)],[eq_16,eq_11]) ).
cnf(eq_19,plain,
A = meet(join(A,A),A),
eq_17 ).
cnf(eq_20,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_19]),eq_16]) ).
cnf(eq_21,negated_conjecture,
a != a,
inference(cp,[status(thm)],[eq_20,eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n027.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 05:25:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.54 % SZS status Unsatisfiable
% 0.18/0.54 % SZS output start CNFRefutation for /tmp/MaedMax_1351
% See solution above
% 0.18/0.54
%------------------------------------------------------------------------------