%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT091-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n018.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 07:05:33 EDT 2022
% Result : Unsatisfiable 0.99s 1.18s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 4 RR)
% Number of literals : 53 ( 52 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 95 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = join(meet(A,B),meet(A,join(A,B))),
file('/tmp/MaedMax_15259') ).
cnf(eq_1,axiom,
A = join(meet(A,A),meet(B,join(A,A))),
file('/tmp/MaedMax_15259') ).
cnf(eq_2,axiom,
A = join(meet(B,A),meet(A,join(B,A))),
file('/tmp/MaedMax_15259') ).
cnf(eq_3,axiom,
A = meet(meet(join(A,B),join(C,A)),A),
file('/tmp/MaedMax_15259') ).
cnf(eq_4,axiom,
A = join(join(meet(A,B),meet(C,A)),A),
file('/tmp/MaedMax_15259') ).
cnf(eq_5,negated_conjecture,
join(b,a) != join(a,b),
file('/tmp/MaedMax_15259') ).
cnf(eq_6,plain,
meet(meet(A,join(x102,meet(B,A))),meet(B,A)) = meet(B,A),
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_7,plain,
meet(meet(A,join(x102,meet(A,A))),meet(A,A)) = meet(A,A),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_8,plain,
meet(meet(join(A,x101),A),A) = A,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_9,plain,
join(join(meet(A,x101),A),A) = A,
inference(cp,[status(thm)],[eq_3,eq_4]) ).
cnf(eq_10,plain,
A = join(join(meet(A,B),A),A),
eq_9 ).
cnf(eq_11,plain,
A = meet(meet(join(A,B),A),A),
eq_8 ).
cnf(eq_12,plain,
meet(A,A) = meet(meet(A,join(B,meet(A,A))),meet(A,A)),
eq_7 ).
cnf(eq_13,plain,
meet(A,B) = meet(meet(B,join(C,meet(A,B))),meet(A,B)),
eq_6 ).
cnf(eq_14,plain,
join(meet(join(meet(A,B),A),A),meet(join(meet(A,B),A),A)) = join(meet(A,B),A),
inference(cp,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_15,plain,
join(meet(join(meet(A,B),A),A),meet(A,A)) = A,
inference(cp,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_16,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_3,eq_13]) ).
cnf(eq_17,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B),
inference(cp,[status(thm)],[eq_0,eq_11]) ).
cnf(eq_18,plain,
join(join(A,meet(join(A,B),A)),meet(join(A,B),A)) = meet(join(A,B),A),
inference(cp,[status(thm)],[eq_11,eq_10]) ).
cnf(eq_19,plain,
A = meet(meet(A,join(B,A)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_3]),eq_3]) ).
cnf(eq_20,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_19,eq_17]) ).
cnf(eq_21,plain,
A = meet(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_19]),eq_19]),eq_19]) ).
cnf(eq_22,plain,
meet(join(x101,x101),x101) = x101,
inference(cp,[status(thm)],[eq_21,eq_3]) ).
cnf(eq_23,plain,
join(A,meet(x101,join(A,A))) = A,
inference(cp,[status(thm)],[eq_21,eq_1]) ).
cnf(eq_24,plain,
join(meet(join(A,A),A),meet(A,A)) = A,
inference(cp,[status(thm)],[eq_21,eq_15]) ).
cnf(eq_25,plain,
A = join(A,meet(B,join(A,A))),
eq_23 ).
cnf(eq_26,plain,
A = meet(join(A,A),A),
eq_22 ).
cnf(eq_27,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_26]),eq_21]) ).
cnf(eq_28,plain,
join(A,meet(x101,A)) = A,
inference(cp,[status(thm)],[eq_27,eq_25]) ).
cnf(eq_29,plain,
A = join(A,meet(B,A)),
eq_28 ).
cnf(eq_30,plain,
meet(meet(A,A),meet(B,A)) = meet(B,A),
inference(cp,[status(thm)],[eq_29,eq_13]) ).
cnf(eq_31,plain,
meet(A,B) = meet(B,meet(A,B)),
inference(rw,[status(thm)],[eq_30,eq_21]) ).
cnf(eq_32,plain,
A = meet(join(A,B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_29]),eq_29]) ).
cnf(eq_33,plain,
meet(join(meet(A,B),A),A) = join(meet(A,B),A),
inference(rw,[status(thm)],[eq_14,eq_27]) ).
cnf(eq_34,plain,
join(join(meet(A,B),meet(x102,B)),B) = B,
inference(cp,[status(thm)],[eq_31,eq_4]) ).
cnf(eq_35,plain,
meet(A,join(meet(A,B),A)) = join(meet(A,B),A),
inference(cp,[status(thm)],[eq_10,eq_32]) ).
cnf(eq_36,plain,
A = join(join(meet(B,A),meet(C,A)),A),
eq_34 ).
cnf(eq_37,plain,
meet(join(meet(A,B),A),A) = A,
inference(cp,[status(thm)],[eq_35,eq_19]) ).
cnf(eq_38,plain,
A = join(meet(A,B),A),
inference(rw,[status(thm)],[eq_37,eq_33]) ).
cnf(eq_39,plain,
join(meet(meet(A,B),A),meet(meet(A,B),A)) = meet(A,B),
inference(cp,[status(thm)],[eq_38,eq_0]) ).
cnf(eq_40,plain,
meet(A,B) = meet(meet(A,B),A),
inference(rw,[status(thm)],[eq_39,eq_27]) ).
cnf(eq_41,plain,
A = meet(A,join(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_21]),eq_21]),eq_21]),eq_40]) ).
cnf(eq_42,plain,
meet(A,join(A,B)) = meet(join(A,B),A),
inference(cp,[status(thm)],[eq_32,eq_40]) ).
cnf(eq_43,plain,
A = meet(A,join(A,B)),
inference(rw,[status(thm)],[eq_42,eq_32]) ).
cnf(eq_44,plain,
join(join(A,meet(x102,join(B,A))),join(B,A)) = join(B,A),
inference(cp,[status(thm)],[eq_41,eq_36]) ).
cnf(eq_45,plain,
join(A,B) = join(join(B,meet(C,join(A,B))),join(A,B)),
eq_44 ).
cnf(eq_46,plain,
join(join(B,A),join(A,B)) = join(A,B),
inference(cp,[status(thm)],[eq_43,eq_45]) ).
cnf(eq_47,plain,
meet(join(B,A),join(A,B)) = join(B,A),
inference(cp,[status(thm)],[eq_46,eq_43]) ).
cnf(eq_48,plain,
meet(join(A,B),join(B,A)) = join(B,A),
inference(cp,[status(thm)],[eq_46,eq_32]) ).
cnf(eq_49,plain,
meet(join(A,B),join(B,A)) = join(A,B),
eq_47 ).
cnf(eq_50,plain,
join(A,B) = join(B,A),
inference(rw,[status(thm)],[eq_48,eq_49]) ).
cnf(eq_51,negated_conjecture,
join(a,b) != join(a,b),
inference(cp,[status(thm)],[eq_50,eq_5]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT091-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 05:11:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.99/1.18 % SZS status Unsatisfiable
% 0.99/1.18 % SZS output start CNFRefutation for /tmp/MaedMax_15259
% See solution above
% 0.99/1.18
%------------------------------------------------------------------------------