TSTP Solution File: GRP555-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP555-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n019.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 07:02:54 EDT 2022
% Result : Unsatisfiable 0.57s 0.81s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 50 ( 50 unt; 0 nHn; 8 RR)
% Number of literals : 50 ( 49 equ; 7 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 : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(B,inverse(divide(A,divide(B,C)))),C),
file('/tmp/MaedMax_14967') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_14967') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_14967') ).
cnf(eq_3,plain,
A = divide(multiply(B,divide(A,divide(B,C))),C),
inference(rw,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,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)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_5,plain,
divide(divide(x100,inverse(A)),x102) = divide(B,inverse(divide(A,divide(B,divide(x100,x102))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
divide(divide(divide(B,inverse(divide(A,divide(B,C)))),inverse(divide(x101,A))),C) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
A = divide(divide(divide(B,inverse(divide(C,divide(B,x3)))),inverse(divide(A,C))),x3),
eq_6 ).
cnf(eq_8,plain,
divide(A,inverse(divide(B,divide(A,divide(C,x3))))) = divide(divide(C,inverse(B)),x3),
eq_5 ).
cnf(eq_9,plain,
A = divide(multiply(multiply(B,divide(C,divide(B,x3))),divide(A,C)),x3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_1]),eq_1]) ).
cnf(eq_10,plain,
divide(multiply(A,B),C) = multiply(x3,divide(B,divide(x3,divide(A,C)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_1]),eq_1]) ).
cnf(eq_11,plain,
A = multiply(multiply(B,divide(A,divide(B,inverse(x101)))),x101),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_12,plain,
A = multiply(multiply(B,divide(A,multiply(B,C))),C),
inference(rw,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_13,plain,
divide(divide(B,inverse(divide(A,divide(B,divide(x102,x103))))),inverse(divide(x101,A))) = divide(divide(x102,inverse(x101)),x103),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_14,plain,
divide(divide(divide(C,inverse(B)),x3),divide(C,x3)) = B,
inference(cp,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_15,plain,
divide(A,inverse(divide(x103,A))) = x103,
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_16,plain,
divide(divide(divide(x100,inverse(divide(C,divide(x100,x102)))),inverse(A)),x102) = divide(B,inverse(divide(A,divide(B,C)))),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_17,plain,
divide(divide(A,inverse(B)),C) = divide(divide(divide(A,inverse(x3)),C),inverse(divide(B,x3))),
inference(rw,[status(thm)],[eq_13,eq_8]) ).
cnf(eq_18,plain,
divide(A,inverse(divide(B,divide(A,C)))) = divide(divide(divide(x3,inverse(divide(C,divide(x3,x4)))),inverse(B)),x4),
eq_16 ).
cnf(eq_19,plain,
A = divide(divide(divide(B,inverse(A)),C),divide(B,C)),
eq_14 ).
cnf(eq_20,plain,
A = divide(B,inverse(divide(A,B))),
eq_15 ).
cnf(eq_21,plain,
A = multiply(B,divide(A,B)),
inference(rw,[status(thm)],[eq_20,eq_1]) ).
cnf(eq_22,plain,
multiply(x3,divide(divide(x103,x101),divide(x3,divide(multiply(x100,divide(x101,divide(x100,C))),C)))) = x103,
inference(cp,[status(thm)],[eq_10,eq_9]) ).
cnf(eq_23,plain,
A = multiply(B,divide(divide(A,C),divide(B,C))),
inference(rw,[status(thm)],[eq_22,eq_3]) ).
cnf(eq_24,plain,
A = divide(B,inverse(divide(divide(A,C),divide(B,C)))),
inference(rw,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_25,plain,
divide(inverse(divide(A,B)),inverse(A)) = B,
inference(cp,[status(thm)],[eq_20,eq_20]) ).
cnf(eq_26,plain,
A = divide(C,divide(B,divide(B,inverse(divide(A,C))))),
inference(cp,[status(thm)],[eq_7,eq_19]) ).
cnf(eq_27,plain,
divide(divide(A,x102),divide(B,x102)) = divide(A,B),
inference(cp,[status(thm)],[eq_20,eq_19]) ).
cnf(eq_28,plain,
divide(A,inverse(x103)) = divide(x104,inverse(divide(x103,divide(x104,A)))),
inference(cp,[status(thm)],[eq_0,eq_18]) ).
cnf(eq_29,plain,
A = divide(inverse(divide(B,A)),inverse(B)),
eq_25 ).
cnf(eq_30,plain,
A = divide(B,divide(C,divide(C,inverse(divide(A,B))))),
eq_26 ).
cnf(eq_31,plain,
divide(A,inverse(B)) = divide(C,inverse(divide(B,divide(C,A)))),
eq_28 ).
cnf(eq_32,plain,
divide(A,B) = divide(divide(A,C),divide(B,C)),
eq_27 ).
cnf(eq_33,negated_conjecture,
divide(divide(divide(a3,inverse(x3)),inverse(c3)),inverse(divide(b3,x3))) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(cp,[status(thm)],[eq_17,eq_4]) ).
cnf(eq_34,negated_conjecture,
divide(divide(divide(a3,inverse(A)),inverse(c3)),inverse(divide(b3,A))) != divide(a3,inverse(divide(b3,inverse(c3)))),
eq_33 ).
cnf(eq_35,plain,
A = divide(divide(inverse(B),inverse(A)),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_1]),eq_1]),eq_31]),eq_1]) ).
cnf(eq_36,plain,
divide(B,divide(B,A)) = A,
inference(cp,[status(thm)],[eq_20,eq_30]) ).
cnf(eq_37,plain,
divide(inverse(A),inverse(B)) = inverse(divide(A,B)),
inference(cp,[status(thm)],[eq_20,eq_29]) ).
cnf(eq_38,plain,
A = multiply(multiply(inverse(B),A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_1]),eq_1]) ).
cnf(eq_39,plain,
divide(multiply(B,A),A) = B,
inference(cp,[status(thm)],[eq_36,eq_3]) ).
cnf(eq_40,plain,
A = divide(multiply(A,B),B),
eq_39 ).
cnf(eq_41,plain,
A = divide(B,divide(inverse(A),inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_32]),eq_37]) ).
cnf(eq_42,plain,
divide(A,B) = multiply(inverse(B),A),
inference(cp,[status(thm)],[eq_38,eq_40]) ).
cnf(eq_43,plain,
multiply(B,A) = multiply(A,B),
inference(cp,[status(thm)],[eq_40,eq_21]) ).
cnf(eq_44,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_41,eq_36]) ).
cnf(eq_45,plain,
A = multiply(B,multiply(inverse(B),A)),
inference(cp,[status(thm)],[eq_38,eq_43]) ).
cnf(eq_46,negated_conjecture,
multiply(multiply(inverse(A),b3),multiply(c3,multiply(A,a3))) != multiply(multiply(c3,b3),a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_42]),eq_42]),eq_44]),eq_42]),eq_44]),eq_42]),eq_44]),eq_42]),eq_44]),eq_42]),eq_44]) ).
cnf(eq_47,negated_conjecture,
multiply(multiply(inverse(inverse(c3)),b3),a3) != multiply(multiply(c3,b3),a3),
inference(cp,[status(thm)],[eq_45,eq_46]) ).
cnf(eq_48,negated_conjecture,
multiply(multiply(c3,b3),a3) != multiply(multiply(c3,b3),a3),
inference(rw,[status(thm)],[eq_47,eq_44]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP555-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n019.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 04:25:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.81 % SZS status Unsatisfiable
% 0.57/0.81 % SZS output start CNFRefutation for /tmp/MaedMax_14967
% See solution above
% 0.57/0.81
%------------------------------------------------------------------------------