TSTP Solution File: BOO072-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO072-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 06:57:54 EDT 2022
% Result : Unsatisfiable 4.43s 4.65s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 2
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 4 RR)
% Number of literals : 54 ( 53 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 94 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(add(inverse(add(inverse(add(B,C)),A)),inverse(add(B,inverse(add(inverse(A),inverse(add(A,D)))))))),
file('/tmp/MaedMax_4752') ).
cnf(eq_1,negated_conjecture,
add(b,a) != add(a,b),
file('/tmp/MaedMax_4752') ).
cnf(eq_2,plain,
inverse(add(inverse(add(A,x102)),inverse(add(inverse(add(inverse(add(B,C)),A)),inverse(add(inverse(x102),inverse(add(x102,x103)))))))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(A)),C)),A)),x101)),inverse(A))),A)) = inverse(A),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
inverse(A) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(A)),B)),A)),C)),inverse(A))),A)),
eq_3 ).
cnf(eq_5,plain,
A = inverse(add(inverse(add(B,A)),inverse(add(inverse(add(inverse(add(C,D)),B)),inverse(add(inverse(A),inverse(add(A,x4)))))))),
eq_2 ).
cnf(eq_6,plain,
inverse(add(inverse(add(A,inverse(A))),A)) = inverse(A),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_7,plain,
inverse(add(inverse(add(A,x101)),inverse(add(inverse(A),inverse(add(inverse(x101),inverse(add(x101,x104)))))))) = x101,
inference(cp,[status(thm)],[eq_4,eq_5]) ).
cnf(eq_8,plain,
inverse(add(inverse(add(A,x102)),inverse(add(inverse(add(B,A)),inverse(add(inverse(x102),inverse(add(x102,x103)))))))) = x102,
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_9,plain,
A = inverse(add(inverse(add(B,A)),inverse(add(inverse(add(C,B)),inverse(add(inverse(A),inverse(add(A,D)))))))),
eq_8 ).
cnf(eq_10,plain,
A = inverse(add(inverse(add(B,A)),inverse(add(inverse(B),inverse(add(inverse(A),inverse(add(A,C)))))))),
eq_7 ).
cnf(eq_11,plain,
inverse(add(inverse(A),inverse(add(A,inverse(add(inverse(A),inverse(add(A,x103)))))))) = A,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_12,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(A),A)),x101)),inverse(A))),A)) = inverse(A),
inference(cp,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_13,plain,
A = inverse(add(inverse(A),inverse(add(A,inverse(add(inverse(A),inverse(add(A,B)))))))),
eq_11 ).
cnf(eq_14,plain,
inverse(A) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(A),A)),B)),inverse(A))),A)),
eq_12 ).
cnf(eq_15,plain,
inverse(add(inverse(add(x100,A)),inverse(add(inverse(x100),A)))) = A,
inference(cp,[status(thm)],[eq_13,eq_10]) ).
cnf(eq_16,plain,
inverse(add(inverse(add(x100,A)),inverse(add(inverse(add(x102,x100)),A)))) = A,
inference(cp,[status(thm)],[eq_13,eq_9]) ).
cnf(eq_17,plain,
inverse(add(inverse(add(inverse(add(x100,x101)),A)),inverse(add(x100,A)))) = A,
inference(cp,[status(thm)],[eq_13,eq_0]) ).
cnf(eq_18,plain,
inverse(add(inverse(inverse(B)),B)) = inverse(B),
inference(cp,[status(thm)],[eq_14,eq_4]) ).
cnf(eq_19,plain,
inverse(A) = inverse(add(inverse(inverse(A)),A)),
eq_18 ).
cnf(eq_20,plain,
A = inverse(add(inverse(add(inverse(add(B,C)),A)),inverse(add(B,A)))),
eq_17 ).
cnf(eq_21,plain,
A = inverse(add(inverse(add(B,A)),inverse(add(inverse(add(C,B)),A)))),
eq_16 ).
cnf(eq_22,plain,
A = inverse(add(inverse(add(B,A)),inverse(add(inverse(B),A)))),
eq_15 ).
cnf(eq_23,plain,
inverse(add(inverse(add(inverse(A),A)),inverse(A))) = A,
inference(cp,[status(thm)],[eq_19,eq_22]) ).
cnf(eq_24,plain,
inverse(add(inverse(add(A,inverse(add(B,A)))),A)) = inverse(add(B,A)),
inference(cp,[status(thm)],[eq_20,eq_21]) ).
cnf(eq_25,plain,
inverse(add(inverse(add(inverse(add(x101,x103)),x101)),inverse(add(x101,x103)))) = x101,
inference(cp,[status(thm)],[eq_20,eq_9]) ).
cnf(eq_26,plain,
A = inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(add(A,B)))),
eq_25 ).
cnf(eq_27,plain,
inverse(add(A,B)) = inverse(add(inverse(add(B,inverse(add(A,B)))),B)),
eq_24 ).
cnf(eq_28,plain,
inverse(add(inverse(add(inverse(A),x101)),inverse(add(A,x101)))) = x101,
inference(cp,[status(thm)],[eq_23,eq_21]) ).
cnf(eq_29,plain,
inverse(add(A,inverse(add(inverse(A),inverse(A))))) = inverse(A),
inference(cp,[status(thm)],[eq_23,eq_20]) ).
cnf(eq_30,plain,
A = inverse(add(inverse(add(inverse(B),A)),inverse(add(B,A)))),
eq_28 ).
cnf(eq_31,plain,
inverse(add(inverse(A),inverse(add(A,inverse(add(inverse(A),inverse(A))))))) = A,
inference(cp,[status(thm)],[eq_29,eq_13]) ).
cnf(eq_32,plain,
inverse(add(A,inverse(add(inverse(B),inverse(add(B,A)))))) = inverse(add(B,A)),
inference(cp,[status(thm)],[eq_30,eq_20]) ).
cnf(eq_33,plain,
inverse(add(inverse(add(A,B)),inverse(add(B,B)))) = B,
inference(cp,[status(thm)],[eq_27,eq_20]) ).
cnf(eq_34,plain,
A = inverse(add(inverse(A),inverse(A))),
inference(rw,[status(thm)],[eq_31,eq_29]) ).
cnf(eq_35,plain,
A = inverse(add(inverse(add(B,A)),inverse(add(A,A)))),
eq_33 ).
cnf(eq_36,plain,
A = add(A,A),
inference(cp,[status(thm)],[eq_35,eq_34]) ).
cnf(eq_37,plain,
inverse(add(inverse(add(x100,inverse(A))),A)) = inverse(A),
inference(cp,[status(thm)],[eq_34,eq_35]) ).
cnf(eq_38,plain,
inverse(A) = inverse(add(inverse(add(B,inverse(A))),A)),
eq_37 ).
cnf(eq_39,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_34,eq_36]) ).
cnf(eq_40,plain,
A = inverse(add(inverse(add(B,A)),inverse(A))),
inference(rw,[status(thm)],[eq_35,eq_36]) ).
cnf(eq_41,plain,
inverse(add(inverse(A),inverse(add(B,A)))) = A,
inference(cp,[status(thm)],[eq_38,eq_20]) ).
cnf(eq_42,plain,
inverse(add(A,inverse(add(B,inverse(A))))) = inverse(A),
inference(cp,[status(thm)],[eq_40,eq_20]) ).
cnf(eq_43,plain,
inverse(A) = add(inverse(A),inverse(add(B,A))),
inference(cp,[status(thm)],[eq_41,eq_39]) ).
cnf(eq_44,plain,
inverse(inverse(A)) = add(A,inverse(add(B,inverse(A)))),
inference(cp,[status(thm)],[eq_42,eq_39]) ).
cnf(eq_45,plain,
A = add(A,inverse(add(B,inverse(A)))),
inference(rw,[status(thm)],[eq_44,eq_39]) ).
cnf(eq_46,plain,
add(inverse(A),inverse(add(B,A))) = inverse(A),
eq_43 ).
cnf(eq_47,plain,
add(add(A,B),A) = add(A,B),
inference(cp,[status(thm)],[eq_26,eq_45]) ).
cnf(eq_48,plain,
add(inverse(A),inverse(add(A,B))) = inverse(A),
inference(cp,[status(thm)],[eq_47,eq_46]) ).
cnf(eq_49,plain,
inverse(add(A,B)) = inverse(add(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_48]),eq_39]) ).
cnf(eq_50,plain,
inverse(inverse(add(B,A))) = add(A,B),
inference(cp,[status(thm)],[eq_49,eq_39]) ).
cnf(eq_51,plain,
add(A,B) = add(B,A),
inference(rw,[status(thm)],[eq_50,eq_39]) ).
cnf(eq_52,negated_conjecture,
add(b,a) != add(b,a),
inference(cp,[status(thm)],[eq_51,eq_1]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO072-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Jul 26 03:36:25 EDT 2022
% 0.14/0.33 % CPUTime :
% 4.43/4.65 % SZS status Unsatisfiable
% 4.43/4.65 % SZS output start CNFRefutation for /tmp/MaedMax_4752
% See solution above
% 4.43/4.65
%------------------------------------------------------------------------------