TSTP Solution File: BOO034-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n020.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 06:57:50 EDT 2022
% Result : Unsatisfiable 0.72s 0.89s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 9 RR)
% Number of literals : 38 ( 37 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 73 ( 8 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_14153') ).
cnf(eq_1,axiom,
V = multiply(W,V,V),
file('/tmp/MaedMax_14153') ).
cnf(eq_2,axiom,
V = multiply(V,V,W),
file('/tmp/MaedMax_14153') ).
cnf(eq_3,axiom,
V = multiply(V,W,inverse(W)),
file('/tmp/MaedMax_14153') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) != b,
file('/tmp/MaedMax_14153') ).
cnf(eq_5,negated_conjecture,
multiply(multiply(a,inverse(a),b),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)) != b,
inference(rw,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_6,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_7,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_8,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_9,plain,
multiply(multiply(V,W,x102),x103,V) = multiply(V,W,multiply(x102,x103,inverse(W))),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_10,plain,
multiply(V,W,multiply(W,X,Y)) = multiply(W,X,multiply(V,W,Y)),
eq_7 ).
cnf(eq_11,plain,
multiply(V,W,multiply(X,Y,W)) = multiply(multiply(V,W,X),Y,W),
eq_8 ).
cnf(eq_12,plain,
multiply(V,W,X) = multiply(V,W,multiply(X,multiply(V,W,X),Y)),
eq_6 ).
cnf(eq_13,plain,
multiply(V,W,multiply(X,Y,inverse(W))) = multiply(multiply(V,W,X),Y,V),
eq_9 ).
cnf(eq_14,plain,
multiply(x100,x101,inverse(x101)) = multiply(multiply(x100,x101,W),inverse(x101),x100),
inference(cp,[status(thm)],[eq_1,eq_13]) ).
cnf(eq_15,plain,
multiply(V,W,multiply(inverse(W),V,x103)) = multiply(V,W,inverse(W)),
inference(cp,[status(thm)],[eq_3,eq_12]) ).
cnf(eq_16,plain,
multiply(V,x103,W) = multiply(V,W,multiply(inverse(W),x103,W)),
inference(cp,[status(thm)],[eq_3,eq_11]) ).
cnf(eq_17,plain,
V = multiply(V,W,multiply(inverse(W),V,X)),
inference(rw,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_18,plain,
V = multiply(multiply(V,W,X),inverse(W),V),
inference(rw,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_19,plain,
multiply(V,inverse(V),W) = W,
inference(cp,[status(thm)],[eq_1,eq_18]) ).
cnf(eq_20,plain,
V = multiply(inverse(W),V,multiply(V,W,X)),
inference(cp,[status(thm)],[eq_17,eq_10]) ).
cnf(eq_21,plain,
V = multiply(W,inverse(W),V),
eq_19 ).
cnf(eq_22,plain,
V = inverse(inverse(V)),
inference(cp,[status(thm)],[eq_3,eq_21]) ).
cnf(eq_23,plain,
multiply(inverse(V),W,V) = W,
inference(cp,[status(thm)],[eq_1,eq_20]) ).
cnf(eq_24,plain,
V = multiply(inverse(W),V,W),
eq_23 ).
cnf(eq_25,negated_conjecture,
multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)) != b,
inference(cp,[status(thm)],[eq_21,eq_5]) ).
cnf(eq_26,plain,
multiply(V,x101,inverse(V)) = x101,
inference(cp,[status(thm)],[eq_22,eq_24]) ).
cnf(eq_27,plain,
multiply(x100,x101,V) = multiply(multiply(x100,x101,inverse(inverse(x101))),V,x100),
inference(cp,[status(thm)],[eq_24,eq_13]) ).
cnf(eq_28,plain,
multiply(V,W,X) = multiply(W,X,V),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_22]),eq_1]) ).
cnf(eq_29,plain,
V = multiply(W,V,inverse(W)),
eq_26 ).
cnf(eq_30,plain,
multiply(V,W,X) = multiply(V,X,W),
inference(rw,[status(thm)],[eq_16,eq_24]) ).
cnf(eq_31,plain,
multiply(V,W,X) = multiply(X,W,V),
inference(cp,[status(thm)],[eq_30,eq_28]) ).
cnf(eq_32,negated_conjecture,
multiply(multiply(d,multiply(g,f,e),c),b,inverse(multiply(c,d,multiply(e,f,g)))) != b,
inference(cp,[status(thm)],[eq_28,eq_25]) ).
cnf(eq_33,negated_conjecture,
multiply(multiply(multiply(g,f,e),c,d),b,inverse(multiply(c,d,multiply(e,f,g)))) != b,
inference(cp,[status(thm)],[eq_28,eq_32]) ).
cnf(eq_34,negated_conjecture,
multiply(multiply(multiply(e,f,g),c,d),b,inverse(multiply(c,d,multiply(e,f,g)))) != b,
inference(cp,[status(thm)],[eq_31,eq_33]) ).
cnf(eq_35,negated_conjecture,
multiply(multiply(c,d,multiply(e,f,g)),b,inverse(multiply(c,d,multiply(e,f,g)))) != b,
inference(cp,[status(thm)],[eq_28,eq_34]) ).
cnf(eq_36,negated_conjecture,
b != b,
inference(rw,[status(thm)],[eq_35,eq_29]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n020.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 03:26:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/0.89 % SZS status Unsatisfiable
% 0.72/0.89 % SZS output start CNFRefutation for /tmp/MaedMax_14153
% See solution above
% 0.72/0.89
%------------------------------------------------------------------------------