TSTP Solution File: GRP563-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP563-1 : 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 07:02:55 EDT 2022
% Result : Unsatisfiable 1.00s 1.19s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 41 ( 41 unt; 0 nHn; 7 RR)
% Number of literals : 41 ( 40 equ; 6 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 : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(divide(B,inverse(A)),C),divide(B,C)),
file('/tmp/MaedMax_19840') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_19840') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_19840') ).
cnf(eq_3,plain,
A = divide(divide(multiply(B,A),C),divide(B,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(A,divide(divide(B,inverse(A)),divide(B,inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
divide(divide(divide(divide(divide(B,inverse(A)),C),inverse(x101)),divide(B,C)),A) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
A = divide(B,divide(divide(C,inverse(B)),divide(C,inverse(A)))),
eq_5 ).
cnf(eq_8,plain,
A = divide(divide(divide(divide(divide(B,inverse(C)),x3),inverse(A)),divide(B,x3)),C),
eq_6 ).
cnf(eq_9,plain,
A = divide(divide(multiply(divide(multiply(B,C),x3),A),divide(B,x3)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_1]),eq_1]) ).
cnf(eq_10,plain,
divide(multiply(multiply(x100,x101),B),divide(x100,inverse(B))) = x101,
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_11,plain,
A = divide(multiply(multiply(B,A),C),multiply(B,C)),
inference(rw,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_12,plain,
divide(divide(A,divide(divide(divide(B,inverse(inverse(x103))),x3),divide(B,x3))),A) = x103,
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_13,plain,
A = divide(divide(B,inverse(A)),B),
inference(rw,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_14,plain,
A = divide(multiply(B,A),B),
inference(rw,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_15,plain,
A = multiply(divide(multiply(divide(multiply(B,inverse(x101)),x3),A),divide(B,x3)),x101),
inference(cp,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_16,plain,
A = multiply(divide(multiply(divide(multiply(B,inverse(C)),x3),A),divide(B,x3)),C),
eq_15 ).
cnf(eq_17,plain,
divide(A,divide(inverse(x101),inverse(A))) = x101,
inference(cp,[status(thm)],[eq_13,eq_13]) ).
cnf(eq_18,plain,
divide(A,divide(B,B)) = A,
inference(cp,[status(thm)],[eq_13,eq_0]) ).
cnf(eq_19,plain,
divide(divide(divide(divide(B,inverse(A)),inverse(x101)),B),A) = x101,
inference(cp,[status(thm)],[eq_13,eq_0]) ).
cnf(eq_20,plain,
A = divide(divide(divide(divide(B,inverse(C)),inverse(A)),B),C),
eq_19 ).
cnf(eq_21,plain,
A = divide(B,divide(inverse(A),inverse(B))),
eq_17 ).
cnf(eq_22,plain,
divide(x100,A) = divide(inverse(A),inverse(x100)),
inference(cp,[status(thm)],[eq_21,eq_7]) ).
cnf(eq_23,plain,
divide(divide(B,B),inverse(x101)) = x101,
inference(cp,[status(thm)],[eq_18,eq_13]) ).
cnf(eq_24,plain,
divide(divide(divide(A,inverse(x102)),divide(inverse(x101),inverse(A))),x101) = x102,
inference(cp,[status(thm)],[eq_13,eq_20]) ).
cnf(eq_25,plain,
A = divide(divide(divide(B,inverse(A)),divide(inverse(C),inverse(B))),C),
eq_24 ).
cnf(eq_26,plain,
A = divide(divide(B,B),inverse(A)),
eq_23 ).
cnf(eq_27,plain,
divide(A,B) = divide(inverse(B),inverse(A)),
eq_22 ).
cnf(eq_28,plain,
divide(A,B) = multiply(inverse(B),A),
inference(rw,[status(thm)],[eq_27,eq_1]) ).
cnf(eq_29,plain,
multiply(multiply(divide(multiply(B,inverse(x101)),B),x103),x101) = x103,
inference(cp,[status(thm)],[eq_18,eq_16]) ).
cnf(eq_30,plain,
A = multiply(multiply(inverse(B),A),B),
inference(rw,[status(thm)],[eq_29,eq_14]) ).
cnf(eq_31,plain,
multiply(A,B) = multiply(inverse(inverse(B)),A),
inference(rw,[status(thm)],[eq_1,eq_28]) ).
cnf(eq_32,plain,
A = multiply(inverse(multiply(B,C)),multiply(multiply(B,A),C)),
inference(rw,[status(thm)],[eq_11,eq_28]) ).
cnf(eq_33,negated_conjecture,
multiply(inverse(inverse(multiply(inverse(inverse(c3)),b3))),a3) != multiply(inverse(inverse(c3)),multiply(inverse(inverse(b3)),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_28]),eq_28]),eq_28]),eq_28]) ).
cnf(eq_34,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_26,eq_25]) ).
cnf(eq_35,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[eq_31,eq_34]) ).
cnf(eq_36,negated_conjecture,
multiply(multiply(c3,b3),a3) != multiply(c3,multiply(b3,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_34]),eq_34]),eq_34]),eq_34]) ).
cnf(eq_37,negated_conjecture,
multiply(multiply(b3,c3),a3) != multiply(c3,multiply(b3,a3)),
inference(cp,[status(thm)],[eq_35,eq_36]) ).
cnf(eq_38,plain,
multiply(A,multiply(B,C)) = multiply(multiply(B,A),C),
inference(cp,[status(thm)],[eq_32,eq_30]) ).
cnf(eq_39,negated_conjecture,
multiply(c3,multiply(b3,a3)) != multiply(c3,multiply(b3,a3)),
inference(rw,[status(thm)],[eq_37,eq_38]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP563-1 : 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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 04:16:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.00/1.19 % SZS status Unsatisfiable
% 1.00/1.19 % SZS output start CNFRefutation for /tmp/MaedMax_19840
% See solution above
% 1.00/1.19
%------------------------------------------------------------------------------