TSTP Solution File: GRP421-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n012.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 07:02:43 EDT 2022
% Result : Unsatisfiable 3.05s 3.29s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 7 RR)
% Number of literals : 32 ( 31 equ; 6 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 : 78 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(B,C))),
file('/tmp/MaedMax_31766') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_31766') ).
cnf(eq_2,plain,
inverse(multiply(inverse(multiply(x100,A)),multiply(x100,x102))) = multiply(inverse(x102),inverse(multiply(inverse(A),multiply(inverse(inverse(multiply(inverse(x102),x102))),inverse(multiply(inverse(inverse(multiply(inverse(x102),x102))),inverse(multiply(inverse(x102),x102)))))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(inverse(multiply(x100,inverse(multiply(A,multiply(inverse(x102),inverse(multiply(inverse(x102),x102))))))),multiply(x100,x102))) = multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(B,C)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))))),multiply(x3,x4)),
eq_3 ).
cnf(eq_5,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),
eq_2 ).
cnf(eq_6,plain,
A = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(A)),multiply(inverse(x104),inverse(multiply(inverse(x104),x104))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(x3,inverse(multiply(inverse(B),multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))))),multiply(x3,x4)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),multiply(inverse(x104),inverse(multiply(inverse(x104),x104))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_4,eq_4]) ).
cnf(eq_8,plain,
inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) = B,
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_9,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x102,B)),multiply(x102,C))),
inference(cp,[status(thm)],[eq_5,eq_5]) ).
cnf(eq_10,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(C),inverse(multiply(inverse(C),C)))) = inverse(multiply(inverse(multiply(x103,inverse(multiply(B,multiply(inverse(x104),inverse(multiply(inverse(x104),x104))))))),multiply(x103,x104))),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_11,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))))),multiply(x3,x4)),
eq_7 ).
cnf(eq_12,plain,
A = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(B,C)),
eq_6 ).
cnf(eq_13,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),multiply(inverse(x4),inverse(multiply(inverse(x4),x4)))),
eq_10 ).
cnf(eq_14,plain,
A = inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(B,C)))),
eq_8 ).
cnf(eq_15,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C))),
eq_9 ).
cnf(eq_16,plain,
inverse(multiply(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(x102),inverse(multiply(inverse(x102),x102))))))),multiply(x100,x102))) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(cp,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_17,plain,
multiply(inverse(x100),inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))) = inverse(multiply(inverse(multiply(x102,inverse(multiply(inverse(multiply(x3,B)),multiply(x3,inverse(multiply(inverse(x100),x100))))))),multiply(x102,x100))),
inference(cp,[status(thm)],[eq_13,eq_5]) ).
cnf(eq_18,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(x3),x3))))))),multiply(A,x3))) = multiply(inverse(x3),C),
inference(rw,[status(thm)],[eq_17,eq_14]) ).
cnf(eq_19,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(rw,[status(thm)],[eq_16,eq_0]) ).
cnf(eq_20,plain,
multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(x3,inverse(multiply(inverse(B),multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))))),x102)) = multiply(inverse(multiply(x103,multiply(x3,x4))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_11,eq_19]) ).
cnf(eq_21,plain,
multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),x3)) = multiply(inverse(multiply(x4,multiply(B,C))),multiply(x4,x3)),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_22,negated_conjecture,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,a1)),multiply(B,inverse(multiply(inverse(a1),a1))))))),multiply(A,a1))) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_18,eq_1]) ).
cnf(eq_23,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,multiply(B,C))),multiply(x104,multiply(B,C))),
inference(cp,[status(thm)],[eq_12,eq_21]) ).
cnf(eq_24,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,multiply(C,x3))),
eq_23 ).
cnf(eq_25,plain,
multiply(inverse(multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,multiply(C,x3)))),multiply(inverse(A),A)) = multiply(inverse(x103),x103),
inference(cp,[status(thm)],[eq_24,eq_24]) ).
cnf(eq_26,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,multiply(C,x3)))),multiply(inverse(x4),x4)),
eq_25 ).
cnf(eq_27,negated_conjecture,
inverse(multiply(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,multiply(C,x3)))),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(x100,a1))) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_24,eq_22]) ).
cnf(eq_28,negated_conjecture,
multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))) != multiply(inverse(b1),b1),
inference(rw,[status(thm)],[eq_27,eq_0]) ).
cnf(eq_29,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_26,eq_28]) ).
cnf(eq_30,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_29 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:21:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.05/3.29 % SZS status Unsatisfiable
% 3.05/3.29 % SZS output start CNFRefutation for /tmp/MaedMax_31766
% See solution above
% 3.05/3.29
%------------------------------------------------------------------------------