TSTP Solution File: GRP453-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP453-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 07:02:46 EDT 2022
% Result : Unsatisfiable 1.75s 1.98s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 6 RR)
% Number of literals : 55 ( 54 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(divide(B,B),divide(B,divide(A,divide(divide(divide(B,B),B),C)))),C),
file('/tmp/MaedMax_9780') ).
cnf(eq_1,axiom,
divide(A,divide(divide(B,B),C)) = multiply(A,C),
file('/tmp/MaedMax_9780') ).
cnf(eq_2,axiom,
divide(divide(A,A),B) = inverse(B),
file('/tmp/MaedMax_9780') ).
cnf(eq_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_9780') ).
cnf(eq_4,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_5,plain,
A = divide(inverse(divide(B,divide(A,divide(inverse(B),C)))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).
cnf(eq_6,plain,
divide(inverse(divide(A,A)),x101) = inverse(x101),
inference(cp,[status(thm)],[eq_2,eq_2]) ).
cnf(eq_7,plain,
divide(inverse(divide(A,A)),B) = inverse(B),
eq_6 ).
cnf(eq_8,plain,
multiply(divide(x100,x100),B) = inverse(inverse(B)),
inference(cp,[status(thm)],[eq_4,eq_2]) ).
cnf(eq_9,plain,
divide(multiply(inverse(B),B),x101) = inverse(x101),
inference(cp,[status(thm)],[eq_4,eq_2]) ).
cnf(eq_10,plain,
divide(inverse(multiply(inverse(B),B)),x101) = inverse(x101),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_11,plain,
divide(inverse(inverse(inverse(divide(A,A)))),x101) = inverse(x101),
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_12,plain,
divide(inverse(inverse(divide(x101,divide(inverse(divide(A,A)),x102)))),x102) = x101,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_13,plain,
divide(inverse(divide(x100,inverse(divide(inverse(x100),x102)))),x102) = inverse(divide(A,A)),
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_14,plain,
divide(multiply(inverse(A),A),B) = inverse(B),
eq_9 ).
cnf(eq_15,plain,
multiply(divide(A,A),B) = inverse(inverse(B)),
eq_8 ).
cnf(eq_16,plain,
divide(inverse(multiply(inverse(A),A)),B) = inverse(B),
eq_10 ).
cnf(eq_17,plain,
divide(inverse(inverse(inverse(divide(A,A)))),B) = inverse(B),
eq_11 ).
cnf(eq_18,plain,
divide(inverse(divide(A,inverse(divide(inverse(A),B)))),B) = inverse(divide(C,C)),
eq_13 ).
cnf(eq_19,negated_conjecture,
divide(a3,inverse(multiply(b3,c3))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_20,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_4]),eq_4]),eq_4]) ).
cnf(eq_21,plain,
divide(inverse(inverse(inverse(inverse(divide(A,A))))),x101) = inverse(x101),
inference(cp,[status(thm)],[eq_17,eq_2]) ).
cnf(eq_22,plain,
divide(inverse(inverse(inverse(inverse(divide(A,A))))),B) = inverse(B),
eq_21 ).
cnf(eq_23,plain,
A = divide(inverse(inverse(divide(A,inverse(B)))),B),
inference(rw,[status(thm)],[eq_12,eq_7]) ).
cnf(eq_24,plain,
A = divide(inverse(inverse(multiply(A,B))),B),
inference(rw,[status(thm)],[eq_23,eq_4]) ).
cnf(eq_25,plain,
divide(inverse(divide(x100,inverse(divide(inverse(x100),x102)))),x102) = multiply(inverse(A),A),
inference(cp,[status(thm)],[eq_14,eq_5]) ).
cnf(eq_26,plain,
divide(inverse(multiply(A,divide(inverse(A),B))),B) = multiply(inverse(C),C),
inference(rw,[status(thm)],[eq_25,eq_4]) ).
cnf(eq_27,plain,
A = multiply(inverse(inverse(multiply(A,inverse(x101)))),x101),
inference(cp,[status(thm)],[eq_24,eq_4]) ).
cnf(eq_28,plain,
divide(inverse(divide(x100,A)),x102) = inverse(inverse(multiply(A,divide(inverse(x100),x102)))),
inference(cp,[status(thm)],[eq_24,eq_5]) ).
cnf(eq_29,plain,
divide(inverse(divide(inverse(multiply(A,B)),divide(x101,A))),B) = x101,
inference(cp,[status(thm)],[eq_24,eq_5]) ).
cnf(eq_30,plain,
divide(inverse(inverse(inverse(inverse(B)))),B) = divide(A,A),
inference(cp,[status(thm)],[eq_15,eq_24]) ).
cnf(eq_31,plain,
A = multiply(inverse(inverse(multiply(A,inverse(B)))),B),
eq_27 ).
cnf(eq_32,plain,
divide(inverse(divide(A,B)),C) = inverse(inverse(multiply(B,divide(inverse(A),C)))),
eq_28 ).
cnf(eq_33,plain,
A = divide(inverse(divide(inverse(multiply(B,C)),divide(A,B))),C),
eq_29 ).
cnf(eq_34,plain,
divide(A,A) = inverse(divide(x100,x100)),
inference(cp,[status(thm)],[eq_30,eq_22]) ).
cnf(eq_35,plain,
divide(A,A) = divide(x101,x101),
inference(cp,[status(thm)],[eq_30,eq_30]) ).
cnf(eq_36,plain,
divide(A,A) = divide(B,B),
eq_35 ).
cnf(eq_37,plain,
divide(A,A) = inverse(divide(B,B)),
eq_34 ).
cnf(eq_38,plain,
divide(inverse(inverse(inverse(divide(C,C)))),x101) = inverse(divide(A,inverse(divide(inverse(A),inverse(x101))))),
inference(cp,[status(thm)],[eq_18,eq_23]) ).
cnf(eq_39,plain,
inverse(A) = inverse(divide(B,inverse(divide(inverse(B),inverse(A))))),
inference(rw,[status(thm)],[eq_38,eq_17]) ).
cnf(eq_40,plain,
divide(inverse(multiply(inverse(C),C)),divide(inverse(A),divide(x102,A))) = x102,
inference(cp,[status(thm)],[eq_26,eq_33]) ).
cnf(eq_41,plain,
A = inverse(divide(inverse(B),divide(A,B))),
inference(rw,[status(thm)],[eq_40,eq_16]) ).
cnf(eq_42,plain,
inverse(divide(x100,divide(A,A))) = inverse(x100),
inference(cp,[status(thm)],[eq_37,eq_39]) ).
cnf(eq_43,plain,
inverse(divide(inverse(A),divide(B,B))) = A,
inference(cp,[status(thm)],[eq_36,eq_41]) ).
cnf(eq_44,plain,
inverse(A) = inverse(divide(A,divide(B,B))),
eq_42 ).
cnf(eq_45,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_43,eq_44]) ).
cnf(eq_46,plain,
A = divide(divide(A,B),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_4]),eq_45]),eq_45]),eq_4]) ).
cnf(eq_47,plain,
inverse(divide(A,divide(x101,inverse(A)))) = x101,
inference(cp,[status(thm)],[eq_45,eq_41]) ).
cnf(eq_48,plain,
A = inverse(divide(B,divide(A,inverse(B)))),
eq_47 ).
cnf(eq_49,plain,
inverse(divide(B,A)) = divide(A,B),
inference(cp,[status(thm)],[eq_46,eq_48]) ).
cnf(eq_50,plain,
divide(A,B) = inverse(divide(B,A)),
eq_49 ).
cnf(eq_51,negated_conjecture,
divide(inverse(divide(inverse(b3),a3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(cp,[status(thm)],[eq_50,eq_20]) ).
cnf(eq_52,plain,
divide(inverse(divide(A,B)),C) = multiply(B,divide(inverse(A),C)),
inference(rw,[status(thm)],[eq_32,eq_45]) ).
cnf(eq_53,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_52]),eq_45]),eq_4]),eq_4]),eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP453-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Jul 26 04:08:32 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.75/1.98 % SZS status Unsatisfiable
% 1.75/1.98 % SZS output start CNFRefutation for /tmp/MaedMax_9780
% See solution above
% 1.75/1.98
%------------------------------------------------------------------------------