TSTP Solution File: GRP511-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 07:02:51 EDT 2022
% Result : Unsatisfiable 0.76s 0.96s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 6 RR)
% Number of literals : 61 ( 60 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 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 : 129 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(multiply(multiply(B,A),C),inverse(multiply(B,C))),
file('/tmp/MaedMax_16030') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_16030') ).
cnf(eq_2,plain,
multiply(A,inverse(multiply(multiply(B,A),inverse(multiply(B,C))))) = C,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(multiply(A,x102),inverse(multiply(multiply(multiply(B,A),C),x102))) = inverse(multiply(B,C)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
multiply(multiply(multiply(multiply(multiply(B,A),C),x101),inverse(multiply(B,C))),inverse(A)) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
A = multiply(multiply(multiply(multiply(multiply(B,C),x3),A),inverse(multiply(B,x3))),inverse(C)),
eq_4 ).
cnf(eq_6,plain,
multiply(multiply(A,B),inverse(multiply(multiply(multiply(C,A),x3),B))) = inverse(multiply(C,x3)),
eq_3 ).
cnf(eq_7,plain,
A = multiply(B,inverse(multiply(multiply(C,B),inverse(multiply(C,A))))),
eq_2 ).
cnf(eq_8,plain,
inverse(multiply(C,multiply(A,inverse(multiply(multiply(C,A),x102))))) = x102,
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_9,plain,
multiply(multiply(A,inverse(multiply(B,C))),inverse(A)) = inverse(multiply(B,C)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_10,plain,
multiply(inverse(multiply(C,x3)),inverse(multiply(A,inverse(multiply(multiply(multiply(C,A),x3),B))))) = B,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_11,plain,
multiply(multiply(A,x102),inverse(multiply(B,x102))) = inverse(multiply(multiply(C,B),inverse(multiply(C,A)))),
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_12,plain,
multiply(multiply(A,B),inverse(multiply(C,B))) = inverse(multiply(multiply(x3,C),inverse(multiply(x3,A)))),
eq_11 ).
cnf(eq_13,plain,
A = inverse(multiply(B,multiply(C,inverse(multiply(multiply(B,C),A))))),
eq_8 ).
cnf(eq_14,plain,
A = multiply(inverse(multiply(B,C)),inverse(multiply(x3,inverse(multiply(multiply(multiply(B,x3),C),A))))),
eq_10 ).
cnf(eq_15,plain,
multiply(C,multiply(multiply(A,B),inverse(multiply(C,B)))) = A,
inference(cp,[status(thm)],[eq_12,eq_7]) ).
cnf(eq_16,plain,
multiply(A,inverse(multiply(multiply(B,A),C))) = inverse(multiply(B,C)),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_17,plain,
multiply(multiply(x100,A),inverse(x100)) = inverse(multiply(B,multiply(C,inverse(multiply(multiply(B,C),A))))),
inference(cp,[status(thm)],[eq_13,eq_9]) ).
cnf(eq_18,plain,
inverse(multiply(multiply(C,A),inverse(multiply(C,multiply(A,B))))) = B,
inference(cp,[status(thm)],[eq_6,eq_13]) ).
cnf(eq_19,plain,
A = inverse(multiply(multiply(B,C),inverse(multiply(B,multiply(C,A))))),
eq_18 ).
cnf(eq_20,plain,
A = multiply(multiply(B,A),inverse(B)),
inference(rw,[status(thm)],[eq_17,eq_13]) ).
cnf(eq_21,plain,
A = multiply(B,multiply(multiply(A,C),inverse(multiply(B,C)))),
eq_15 ).
cnf(eq_22,plain,
multiply(A,inverse(multiply(B,inverse(B)))) = A,
inference(cp,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_23,plain,
multiply(multiply(A,inverse(multiply(x100,A))),inverse(x101)) = inverse(multiply(x100,x101)),
inference(cp,[status(thm)],[eq_20,eq_5]) ).
cnf(eq_24,plain,
inverse(multiply(B,inverse(multiply(B,C)))) = C,
inference(cp,[status(thm)],[eq_16,eq_13]) ).
cnf(eq_25,plain,
multiply(A,inverse(A)) = inverse(multiply(B,inverse(B))),
inference(cp,[status(thm)],[eq_20,eq_16]) ).
cnf(eq_26,plain,
multiply(A,inverse(multiply(B,A))) = inverse(B),
inference(cp,[status(thm)],[eq_20,eq_20]) ).
cnf(eq_27,plain,
A = inverse(multiply(B,inverse(multiply(B,A)))),
eq_24 ).
cnf(eq_28,plain,
multiply(inverse(multiply(B,A)),A) = inverse(B),
inference(cp,[status(thm)],[eq_27,eq_26]) ).
cnf(eq_29,plain,
multiply(A,multiply(multiply(x101,inverse(multiply(B,inverse(B)))),inverse(A))) = x101,
inference(cp,[status(thm)],[eq_22,eq_21]) ).
cnf(eq_30,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(x102,inverse(multiply(multiply(multiply(B,x102),inverse(B)),x103))))) = x103,
inference(cp,[status(thm)],[eq_25,eq_14]) ).
cnf(eq_31,plain,
multiply(inverse(multiply(x100,inverse(multiply(B,inverse(B))))),inverse(multiply(x102,inverse(multiply(multiply(x100,x102),x103))))) = x103,
inference(cp,[status(thm)],[eq_22,eq_14]) ).
cnf(eq_32,plain,
inverse(inverse(B)) = B,
inference(cp,[status(thm)],[eq_26,eq_27]) ).
cnf(eq_33,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(A,B)),
inference(rw,[status(thm)],[eq_23,eq_26]) ).
cnf(eq_34,plain,
A = multiply(multiply(B,inverse(B)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_20]),eq_27]) ).
cnf(eq_35,plain,
A = multiply(B,multiply(A,inverse(B))),
inference(rw,[status(thm)],[eq_29,eq_22]) ).
cnf(eq_36,plain,
A = inverse(inverse(A)),
eq_32 ).
cnf(eq_37,plain,
multiply(inverse(multiply(A,B)),B) = inverse(A),
eq_28 ).
cnf(eq_38,plain,
multiply(multiply(A,inverse(multiply(x100,inverse(multiply(x100,x101))))),inverse(x101)) = A,
inference(cp,[status(thm)],[eq_34,eq_5]) ).
cnf(eq_39,plain,
multiply(inverse(A),multiply(x101,A)) = x101,
inference(cp,[status(thm)],[eq_36,eq_35]) ).
cnf(eq_40,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
inference(cp,[status(thm)],[eq_20,eq_37]) ).
cnf(eq_41,plain,
inverse(A) = multiply(B,inverse(multiply(B,A))),
inference(cp,[status(thm)],[eq_27,eq_36]) ).
cnf(eq_42,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_38,eq_27]) ).
cnf(eq_43,plain,
A = multiply(inverse(B),multiply(A,B)),
eq_39 ).
cnf(eq_44,plain,
multiply(A,inverse(multiply(A,B))) = inverse(B),
eq_41 ).
cnf(eq_45,plain,
multiply(B,A) = multiply(A,B),
inference(cp,[status(thm)],[eq_42,eq_35]) ).
cnf(eq_46,plain,
multiply(inverse(inverse(B)),A) = multiply(A,B),
inference(cp,[status(thm)],[eq_42,eq_43]) ).
cnf(eq_47,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[eq_46,eq_36]) ).
cnf(eq_48,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_22]),eq_16]),eq_36]) ).
cnf(eq_49,plain,
multiply(multiply(B,C),A) = inverse(inverse(multiply(B,multiply(C,A)))),
inference(cp,[status(thm)],[eq_19,eq_44]) ).
cnf(eq_50,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_49,eq_36]) ).
cnf(eq_51,negated_conjecture,
multiply(a3,multiply(c3,b3)) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_45,eq_1]) ).
cnf(eq_52,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(c3,b3)),
eq_51 ).
cnf(eq_53,negated_conjecture,
multiply(multiply(b3,a3),c3) != multiply(a3,multiply(c3,b3)),
inference(cp,[status(thm)],[eq_45,eq_52]) ).
cnf(eq_54,plain,
multiply(multiply(inverse(A),inverse(B)),multiply(multiply(A,B),x101)) = x101,
inference(cp,[status(thm)],[eq_33,eq_48]) ).
cnf(eq_55,plain,
A = multiply(multiply(inverse(B),inverse(C)),multiply(multiply(B,C),A)),
eq_54 ).
cnf(eq_56,plain,
multiply(inverse(multiply(inverse(B),inverse(C))),A) = multiply(multiply(B,C),A),
inference(cp,[status(thm)],[eq_55,eq_48]) ).
cnf(eq_57,plain,
multiply(multiply(A,B),C) = multiply(multiply(B,A),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_40]),eq_36]),eq_36]) ).
cnf(eq_58,plain,
multiply(A,multiply(B,C)) = multiply(B,multiply(A,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_50]),eq_50]) ).
cnf(eq_59,negated_conjecture,
multiply(c3,multiply(b3,a3)) != multiply(c3,multiply(b3,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_50]),eq_47]),eq_58]),eq_58]),eq_47]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 04:14:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.76/0.96 % SZS status Unsatisfiable
% 0.76/0.96 % SZS output start CNFRefutation for /tmp/MaedMax_16030
% See solution above
% 0.76/0.96
%------------------------------------------------------------------------------