TSTP Solution File: GRP519-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP519-1 : 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 07:02:52 EDT 2022
% Result : Unsatisfiable 0.75s 0.93s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 3 RR)
% Number of literals : 20 ( 19 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,multiply(multiply(inverse(multiply(B,C)),A),C)),
file('/tmp/MaedMax_17592') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_17592') ).
cnf(eq_2,plain,
multiply(x100,multiply(A,x101)) = multiply(multiply(inverse(multiply(inverse(multiply(x100,x101)),C)),A),C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(B,multiply(multiply(inverse(A),x102),multiply(multiply(inverse(multiply(B,C)),A),C))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
A = multiply(B,multiply(multiply(inverse(C),A),multiply(multiply(inverse(multiply(B,x3)),C),x3))),
eq_3 ).
cnf(eq_5,plain,
multiply(A,multiply(B,C)) = multiply(multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B),x3),
eq_2 ).
cnf(eq_6,plain,
multiply(multiply(inverse(A),x102),A) = x102,
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(A,C)),multiply(A,multiply(B,C))) = B,
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_8,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,multiply(A,C))),
eq_7 ).
cnf(eq_9,plain,
A = multiply(multiply(inverse(B),A),B),
eq_6 ).
cnf(eq_10,plain,
multiply(A,multiply(B,C)) = multiply(B,multiply(A,C)),
inference(cp,[status(thm)],[eq_8,eq_9]) ).
cnf(eq_11,plain,
multiply(A,x100) = multiply(multiply(inverse(multiply(inverse(x100),C)),A),C),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_12,plain,
multiply(A,B) = multiply(multiply(inverse(multiply(inverse(B),C)),A),C),
eq_11 ).
cnf(eq_13,plain,
multiply(inverse(B),multiply(A,B)) = A,
inference(cp,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_14,plain,
multiply(multiply(B,multiply(inverse(x100),C)),x100) = multiply(B,C),
inference(cp,[status(thm)],[eq_10,eq_9]) ).
cnf(eq_15,plain,
multiply(A,B) = multiply(multiply(A,multiply(inverse(C),B)),C),
eq_14 ).
cnf(eq_16,plain,
multiply(multiply(x100,A),B) = multiply(x100,multiply(A,B)),
inference(cp,[status(thm)],[eq_13,eq_15]) ).
cnf(eq_17,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
eq_16 ).
cnf(eq_18,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_17,eq_1]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n015.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 04:20:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.75/0.93 % SZS status Unsatisfiable
% 0.75/0.93 % SZS output start CNFRefutation for /tmp/MaedMax_17592
% See solution above
% 0.75/0.93
%------------------------------------------------------------------------------