TSTP Solution File: LAT089-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n010.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 0.70s 0.87s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 4 RR)
% Number of literals : 44 ( 43 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 : 76 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = join(meet(A,B),meet(A,join(A,B))),
file('/tmp/MaedMax_32326') ).
cnf(eq_1,axiom,
A = join(meet(A,A),meet(B,join(A,A))),
file('/tmp/MaedMax_32326') ).
cnf(eq_2,axiom,
A = join(meet(B,A),meet(A,join(B,A))),
file('/tmp/MaedMax_32326') ).
cnf(eq_3,axiom,
A = meet(meet(join(A,B),join(C,A)),A),
file('/tmp/MaedMax_32326') ).
cnf(eq_4,axiom,
A = join(join(meet(A,B),meet(C,A)),A),
file('/tmp/MaedMax_32326') ).
cnf(eq_5,negated_conjecture,
meet(b,a) != meet(a,b),
file('/tmp/MaedMax_32326') ).
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(join(A,x101),A),A) = A,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_8,plain,
join(join(meet(A,x101),A),A) = A,
inference(cp,[status(thm)],[eq_3,eq_4]) ).
cnf(eq_9,plain,
A = join(join(meet(A,B),A),A),
eq_8 ).
cnf(eq_10,plain,
A = meet(meet(join(A,B),A),A),
eq_7 ).
cnf(eq_11,plain,
meet(A,B) = meet(meet(B,join(C,meet(A,B))),meet(A,B)),
eq_6 ).
cnf(eq_12,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_9,eq_0]) ).
cnf(eq_13,plain,
join(meet(join(meet(A,B),A),A),meet(A,A)) = A,
inference(cp,[status(thm)],[eq_9,eq_2]) ).
cnf(eq_14,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_11]) ).
cnf(eq_15,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B),
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_16,plain,
join(join(A,meet(join(A,B),A)),meet(join(A,B),A)) = meet(join(A,B),A),
inference(cp,[status(thm)],[eq_10,eq_9]) ).
cnf(eq_17,plain,
A = meet(meet(A,join(B,A)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_3]),eq_3]) ).
cnf(eq_18,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_17,eq_15]) ).
cnf(eq_19,plain,
A = meet(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_17]),eq_17]),eq_17]) ).
cnf(eq_20,plain,
meet(join(x101,x101),x101) = x101,
inference(cp,[status(thm)],[eq_19,eq_3]) ).
cnf(eq_21,plain,
join(A,meet(x101,join(A,A))) = A,
inference(cp,[status(thm)],[eq_19,eq_1]) ).
cnf(eq_22,plain,
join(meet(join(A,A),A),meet(A,A)) = A,
inference(cp,[status(thm)],[eq_19,eq_13]) ).
cnf(eq_23,plain,
A = join(A,meet(B,join(A,A))),
eq_21 ).
cnf(eq_24,plain,
A = meet(join(A,A),A),
eq_20 ).
cnf(eq_25,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_24]),eq_19]) ).
cnf(eq_26,plain,
join(A,meet(x101,A)) = A,
inference(cp,[status(thm)],[eq_25,eq_23]) ).
cnf(eq_27,plain,
A = join(A,meet(B,A)),
eq_26 ).
cnf(eq_28,plain,
A = meet(join(A,B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_27]),eq_27]) ).
cnf(eq_29,plain,
meet(join(meet(A,B),A),A) = join(meet(A,B),A),
inference(rw,[status(thm)],[eq_12,eq_25]) ).
cnf(eq_30,plain,
meet(A,join(meet(A,B),A)) = join(meet(A,B),A),
inference(cp,[status(thm)],[eq_9,eq_28]) ).
cnf(eq_31,plain,
meet(join(meet(A,B),A),A) = A,
inference(cp,[status(thm)],[eq_30,eq_17]) ).
cnf(eq_32,plain,
A = join(meet(A,B),A),
inference(rw,[status(thm)],[eq_31,eq_29]) ).
cnf(eq_33,plain,
join(meet(meet(A,B),A),meet(meet(A,B),A)) = meet(A,B),
inference(cp,[status(thm)],[eq_32,eq_0]) ).
cnf(eq_34,plain,
meet(A,B) = meet(meet(A,B),A),
inference(rw,[status(thm)],[eq_33,eq_25]) ).
cnf(eq_35,plain,
join(A,meet(A,B)) = A,
inference(cp,[status(thm)],[eq_34,eq_27]) ).
cnf(eq_36,plain,
meet(meet(B,A),meet(A,B)) = meet(A,B),
inference(cp,[status(thm)],[eq_35,eq_11]) ).
cnf(eq_37,plain,
join(meet(B,A),meet(A,B)) = meet(B,A),
inference(cp,[status(thm)],[eq_36,eq_35]) ).
cnf(eq_38,plain,
join(meet(A,B),meet(B,A)) = meet(B,A),
inference(cp,[status(thm)],[eq_36,eq_32]) ).
cnf(eq_39,plain,
meet(A,B) = join(meet(B,A),meet(A,B)),
eq_38 ).
cnf(eq_40,plain,
meet(A,B) = join(meet(A,B),meet(B,A)),
eq_37 ).
cnf(eq_41,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_39,eq_40]) ).
cnf(eq_42,negated_conjecture,
meet(b,a) != meet(b,a),
inference(cp,[status(thm)],[eq_41,eq_5]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 05:02:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.70/0.87 % SZS status Unsatisfiable
% 0.70/0.87 % SZS output start CNFRefutation for /tmp/MaedMax_32326
% See solution above
% 0.70/0.87
%------------------------------------------------------------------------------