TSTP Solution File: GRP559-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP559-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n004.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 2.44s 2.67s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 8 RR)
% Number of literals : 57 ( 56 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(B,inverse(divide(divide(A,C),divide(B,C)))),
file('/tmp/MaedMax_20107') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_20107') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_20107') ).
cnf(eq_3,plain,
divide(x100,inverse(divide(A,divide(x100,inverse(divide(divide(A,C),divide(B,C))))))) = B,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
divide(B,inverse(divide(divide(x101,inverse(divide(divide(A,C),divide(B,C)))),A))) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
A = divide(B,inverse(divide(divide(A,inverse(divide(divide(C,x3),divide(B,x3)))),C))),
eq_4 ).
cnf(eq_6,plain,
A = divide(B,inverse(divide(C,divide(B,inverse(divide(divide(C,x3),divide(A,x3))))))),
eq_3 ).
cnf(eq_7,plain,
divide(B,inverse(divide(A,A))) = B,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_8,plain,
divide(x100,inverse(divide(divide(x101,inverse(divide(A,divide(x100,inverse(divide(divide(A,C),divide(B,C))))))),B))) = x101,
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_9,plain,
A = divide(A,inverse(divide(B,B))),
eq_7 ).
cnf(eq_10,plain,
A = divide(B,inverse(divide(divide(A,inverse(divide(C,divide(B,inverse(divide(divide(C,x3),divide(x4,x3))))))),x4))),
eq_8 ).
cnf(eq_11,plain,
A = multiply(B,divide(multiply(A,divide(divide(C,x3),divide(B,x3))),C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_1]),eq_1]) ).
cnf(eq_12,plain,
A = multiply(B,divide(multiply(A,divide(C,multiply(B,divide(divide(C,x3),divide(x4,x3))))),x4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_1]),eq_1]),eq_1]) ).
cnf(eq_13,plain,
A = multiply(B,divide(C,multiply(B,divide(divide(C,x3),divide(A,x3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_1]) ).
cnf(eq_14,plain,
A = multiply(A,divide(B,B)),
inference(rw,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_15,plain,
multiply(A,divide(x101,A)) = x101,
inference(cp,[status(thm)],[eq_14,eq_13]) ).
cnf(eq_16,plain,
multiply(A,divide(multiply(x101,divide(x102,A)),x102)) = x101,
inference(cp,[status(thm)],[eq_14,eq_12]) ).
cnf(eq_17,plain,
A = multiply(B,divide(A,B)),
eq_15 ).
cnf(eq_18,plain,
A = multiply(B,divide(multiply(A,divide(C,B)),C)),
eq_16 ).
cnf(eq_19,plain,
A = divide(B,inverse(divide(divide(A,inverse(divide(C,B))),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_1]),eq_1]) ).
cnf(eq_20,plain,
A = divide(B,inverse(divide(A,B))),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_21,plain,
divide(x100,inverse(inverse(divide(B,B)))) = x100,
inference(cp,[status(thm)],[eq_9,eq_9]) ).
cnf(eq_22,plain,
A = divide(A,inverse(inverse(divide(B,B)))),
eq_21 ).
cnf(eq_23,plain,
multiply(x100,divide(divide(x102,x103),x102)) = divide(x100,x103),
inference(cp,[status(thm)],[eq_17,eq_11]) ).
cnf(eq_24,plain,
divide(A,B) = multiply(A,divide(divide(C,B),C)),
eq_23 ).
cnf(eq_25,plain,
divide(A,B) = divide(A,inverse(divide(divide(C,B),C))),
inference(rw,[status(thm)],[eq_24,eq_1]) ).
cnf(eq_26,plain,
divide(inverse(divide(A,B)),inverse(A)) = B,
inference(cp,[status(thm)],[eq_20,eq_20]) ).
cnf(eq_27,plain,
divide(inverse(inverse(divide(B,B))),inverse(A)) = A,
inference(cp,[status(thm)],[eq_22,eq_20]) ).
cnf(eq_28,plain,
A = divide(inverse(divide(B,A)),inverse(B)),
eq_26 ).
cnf(eq_29,plain,
inverse(divide(divide(B,B),x101)) = x101,
inference(cp,[status(thm)],[eq_9,eq_28]) ).
cnf(eq_30,plain,
divide(inverse(A),inverse(B)) = inverse(divide(A,B)),
inference(cp,[status(thm)],[eq_20,eq_28]) ).
cnf(eq_31,plain,
divide(inverse(divide(A,B)),inverse(A)) = inverse(divide(divide(C,B),C)),
inference(cp,[status(thm)],[eq_25,eq_28]) ).
cnf(eq_32,plain,
A = divide(divide(A,inverse(divide(C,inverse(inverse(divide(x100,x100)))))),C),
inference(cp,[status(thm)],[eq_19,eq_27]) ).
cnf(eq_33,plain,
A = inverse(divide(divide(B,A),B)),
inference(rw,[status(thm)],[eq_31,eq_28]) ).
cnf(eq_34,plain,
A = divide(divide(A,inverse(B)),B),
inference(rw,[status(thm)],[eq_32,eq_22]) ).
cnf(eq_35,plain,
A = inverse(divide(divide(B,B),A)),
eq_29 ).
cnf(eq_36,plain,
multiply(B,A) = divide(A,inverse(B)),
inference(cp,[status(thm)],[eq_34,eq_17]) ).
cnf(eq_37,plain,
divide(A,B) = inverse(divide(B,A)),
inference(cp,[status(thm)],[eq_28,eq_34]) ).
cnf(eq_38,plain,
inverse(inverse(B)) = B,
inference(cp,[status(thm)],[eq_34,eq_35]) ).
cnf(eq_39,plain,
A = inverse(inverse(A)),
eq_38 ).
cnf(eq_40,plain,
divide(A,inverse(B)) = multiply(B,A),
eq_36 ).
cnf(eq_41,negated_conjecture,
divide(a3,inverse(multiply(b3,c3))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_42,plain,
inverse(A) = divide(divide(B,A),B),
inference(cp,[status(thm)],[eq_33,eq_39]) ).
cnf(eq_43,plain,
divide(divide(A,B),A) = inverse(B),
eq_42 ).
cnf(eq_44,plain,
divide(inverse(B),x101) = divide(inverse(x101),B),
inference(cp,[status(thm)],[eq_43,eq_34]) ).
cnf(eq_45,plain,
divide(divide(x100,divide(A,B)),divide(B,A)) = x100,
inference(cp,[status(thm)],[eq_37,eq_34]) ).
cnf(eq_46,plain,
inverse(multiply(A,B)) = divide(inverse(B),A),
inference(cp,[status(thm)],[eq_1,eq_37]) ).
cnf(eq_47,plain,
divide(inverse(A),B) = inverse(multiply(B,A)),
eq_46 ).
cnf(eq_48,plain,
A = divide(divide(A,divide(B,C)),divide(C,B)),
eq_45 ).
cnf(eq_49,plain,
divide(inverse(A),B) = divide(inverse(B),A),
eq_44 ).
cnf(eq_50,plain,
A = divide(B,divide(C,divide(A,divide(B,C)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_37]),eq_37]) ).
cnf(eq_51,negated_conjecture,
divide(a3,divide(inverse(c3),b3)) != divide(c3,divide(inverse(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)],[eq_41,eq_36]),eq_30]),eq_39]),eq_36]),eq_36]),eq_30]),eq_39]) ).
cnf(eq_52,negated_conjecture,
divide(a3,divide(inverse(b3),c3)) != divide(c3,divide(inverse(b3),a3)),
inference(cp,[status(thm)],[eq_49,eq_51]) ).
cnf(eq_53,plain,
divide(C,divide(B,A)) = divide(A,divide(B,C)),
inference(cp,[status(thm)],[eq_48,eq_50]) ).
cnf(eq_54,negated_conjecture,
divide(a3,divide(inverse(b3),c3)) != divide(a3,divide(inverse(b3),c3)),
inference(cp,[status(thm)],[eq_53,eq_52]) ).
cnf(eq_55,negated_conjecture,
multiply(multiply(c3,b3),a3) != multiply(multiply(c3,b3),a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_47]),eq_40]),eq_47]),eq_40]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP559-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 04:16:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.44/2.67 % SZS status Unsatisfiable
% 2.44/2.67 % SZS output start CNFRefutation for /tmp/MaedMax_20107
% See solution above
% 2.44/2.67
%------------------------------------------------------------------------------