TSTP Solution File: BOO002-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n009.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 06:57:41 EDT 2022
% Result : Unsatisfiable 17.34s 17.57s
% Output : CNFRefutation 17.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 3 RR)
% Number of literals : 38 ( 37 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 101 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
multiply(V,W,multiply(X,Y,Z)) = multiply(multiply(V,W,X),Y,multiply(V,W,Z)),
file('/tmp/MaedMax_11052') ).
cnf(eq_1,axiom,
V = multiply(W,V,V),
file('/tmp/MaedMax_11052') ).
cnf(eq_2,axiom,
V = multiply(V,V,W),
file('/tmp/MaedMax_11052') ).
cnf(eq_3,axiom,
V = multiply(inverse(W),W,V),
file('/tmp/MaedMax_11052') ).
cnf(eq_4,negated_conjecture,
multiply(a,inverse(a),b) != b,
file('/tmp/MaedMax_11052') ).
cnf(eq_5,plain,
multiply(V,W,multiply(X,multiply(V,W,X),Z)) = multiply(V,W,X),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_6,plain,
multiply(V,x103,multiply(W,V,x104)) = multiply(W,V,multiply(V,x103,x104)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_7,plain,
multiply(multiply(W,V,x102),x103,V) = multiply(W,V,multiply(x102,x103,V)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_8,plain,
multiply(multiply(V,V,x102),x103,V) = multiply(V,V,multiply(x102,x103,W)),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_9,plain,
multiply(V,W,multiply(W,X,Y)) = multiply(W,X,multiply(V,W,Y)),
eq_6 ).
cnf(eq_10,plain,
V = multiply(V,W,V),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_2]) ).
cnf(eq_11,plain,
multiply(V,W,multiply(X,Y,W)) = multiply(multiply(V,W,X),Y,W),
eq_7 ).
cnf(eq_12,plain,
multiply(V,W,X) = multiply(V,W,multiply(X,multiply(V,W,X),Y)),
eq_5 ).
cnf(eq_13,plain,
multiply(x100,W,V) = multiply(W,V,multiply(x100,W,V)),
inference(cp,[status(thm)],[eq_1,eq_9]) ).
cnf(eq_14,plain,
multiply(V,x103,W) = multiply(V,W,multiply(V,x103,W)),
inference(cp,[status(thm)],[eq_10,eq_11]) ).
cnf(eq_15,plain,
multiply(multiply(V,W,x102),x103,V) = multiply(V,W,multiply(x102,x103,V)),
inference(cp,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_16,plain,
multiply(V,W,X) = multiply(W,X,multiply(V,W,X)),
eq_13 ).
cnf(eq_17,plain,
multiply(V,W,X) = multiply(V,X,multiply(V,W,X)),
eq_14 ).
cnf(eq_18,plain,
multiply(V,W,multiply(X,Y,V)) = multiply(multiply(V,W,X),Y,V),
eq_15 ).
cnf(eq_19,plain,
multiply(x100,x101,multiply(V,W,multiply(x100,x101,W))) = multiply(x100,x101,W),
inference(cp,[status(thm)],[eq_16,eq_12]) ).
cnf(eq_20,plain,
multiply(x100,x101,multiply(V,W,multiply(x100,x101,V))) = multiply(x100,x101,V),
inference(cp,[status(thm)],[eq_17,eq_12]) ).
cnf(eq_21,plain,
multiply(V,W,X) = multiply(V,W,multiply(X,Y,multiply(V,W,X))),
eq_20 ).
cnf(eq_22,plain,
multiply(V,W,X) = multiply(V,W,multiply(Y,X,multiply(V,W,X))),
eq_19 ).
cnf(eq_23,plain,
multiply(X,multiply(V,Y,X),multiply(V,Y,X)) = multiply(X,multiply(V,Y,X),Y),
inference(cp,[status(thm)],[eq_12,eq_22]) ).
cnf(eq_24,plain,
multiply(V,W,X) = multiply(X,multiply(V,W,X),W),
inference(rw,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_25,plain,
multiply(X,multiply(Y,W,X),multiply(Y,W,X)) = multiply(X,multiply(Y,W,X),Y),
inference(cp,[status(thm)],[eq_12,eq_21]) ).
cnf(eq_26,plain,
multiply(multiply(V,W,X),x103,X) = multiply(X,multiply(V,W,X),multiply(W,x103,X)),
inference(cp,[status(thm)],[eq_24,eq_18]) ).
cnf(eq_27,plain,
multiply(V,W,X) = multiply(X,multiply(V,W,X),V),
inference(rw,[status(thm)],[eq_25,eq_1]) ).
cnf(eq_28,plain,
multiply(V,multiply(W,X,V),multiply(X,Y,V)) = multiply(multiply(W,X,V),Y,V),
eq_26 ).
cnf(eq_29,plain,
multiply(multiply(V,W,X),x103,X) = multiply(X,multiply(V,W,X),multiply(V,x103,X)),
inference(cp,[status(thm)],[eq_27,eq_18]) ).
cnf(eq_30,plain,
multiply(V,multiply(W,X,V),multiply(W,Y,V)) = multiply(multiply(W,X,V),Y,V),
eq_29 ).
cnf(eq_31,plain,
multiply(V,multiply(x101,inverse(W),V),V) = multiply(multiply(x101,inverse(W),V),W,V),
inference(cp,[status(thm)],[eq_3,eq_28]) ).
cnf(eq_32,plain,
V = multiply(multiply(W,inverse(X),V),X,V),
inference(rw,[status(thm)],[eq_31,eq_10]) ).
cnf(eq_33,plain,
V = multiply(V,multiply(W,inverse(X),V),multiply(W,X,V)),
inference(rw,[status(thm)],[eq_32,eq_30]) ).
cnf(eq_34,plain,
multiply(W,multiply(V,inverse(V),W),V) = W,
inference(cp,[status(thm)],[eq_2,eq_33]) ).
cnf(eq_35,plain,
V = multiply(W,inverse(W),V),
inference(rw,[status(thm)],[eq_34,eq_27]) ).
cnf(eq_36,negated_conjecture,
b != b,
inference(rw,[status(thm)],[eq_4,eq_35]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n009.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 03:22:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 17.34/17.57 % SZS status Unsatisfiable
% 17.34/17.57 % SZS output start CNFRefutation for /tmp/MaedMax_11052
% See solution above
% 17.34/17.57
%------------------------------------------------------------------------------