TSTP Solution File: BOO007-2 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO007-2 : TPTP v8.1.0. Released v1.0.0.
% 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 06:57:43 EDT 2022
% Result : Unsatisfiable 21.53s 21.75s
% Output : CNFRefutation 21.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 48 ( 48 unt; 0 nHn; 10 RR)
% Number of literals : 48 ( 47 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 74 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_32321') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_32321') ).
cnf(eq_2,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/tmp/MaedMax_32321') ).
cnf(eq_3,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_32321') ).
cnf(eq_4,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_32321') ).
cnf(eq_5,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_32321') ).
cnf(eq_6,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_32321') ).
cnf(eq_7,axiom,
add(inverse(X),X) = multiplicative_identity,
file('/tmp/MaedMax_32321') ).
cnf(eq_8,axiom,
multiply(inverse(X),X) = additive_identity,
file('/tmp/MaedMax_32321') ).
cnf(eq_9,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_32321') ).
cnf(eq_10,axiom,
X = multiply(multiplicative_identity,X),
file('/tmp/MaedMax_32321') ).
cnf(eq_11,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_32321') ).
cnf(eq_12,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/tmp/MaedMax_32321') ).
cnf(eq_13,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_14,plain,
add(X,multiply(x102,X)) = multiply(add(multiplicative_identity,x102),X),
inference(cp,[status(thm)],[eq_10,eq_4]) ).
cnf(eq_15,plain,
add(additive_identity,multiply(x102,X)) = multiply(add(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_8,eq_4]) ).
cnf(eq_16,plain,
multiply(add(x100,x102),add(x100,x101)) = add(x100,multiply(x101,x102)),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_17,plain,
multiply(multiplicative_identity,add(X,x102)) = add(X,multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_18,plain,
multiply(multiplicative_identity,add(x102,X)) = add(multiply(inverse(X),x102),X),
inference(cp,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_19,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_13 ).
cnf(eq_20,plain,
add(X,Y) = add(X,multiply(inverse(X),Y)),
inference(rw,[status(thm)],[eq_17,eq_10]) ).
cnf(eq_21,plain,
add(X,multiply(Y,Z)) = add(X,multiply(Z,Y)),
inference(rw,[status(thm)],[eq_16,eq_3]) ).
cnf(eq_22,plain,
multiply(X,Y) = multiply(add(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_15,eq_11]) ).
cnf(eq_23,plain,
add(X,Y) = add(multiply(inverse(Y),X),Y),
inference(rw,[status(thm)],[eq_18,eq_10]) ).
cnf(eq_24,plain,
add(X,multiply(Y,X)) = multiply(add(multiplicative_identity,Y),X),
eq_14 ).
cnf(eq_25,negated_conjecture,
multiply(multiply(b,c),a) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_1,eq_12]) ).
cnf(eq_26,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_9,eq_20]) ).
cnf(eq_27,plain,
add(inverse(x100),x100) = add(multiplicative_identity,x100),
inference(cp,[status(thm)],[eq_9,eq_23]) ).
cnf(eq_28,plain,
add(multiplicative_identity,X) = multiplicative_identity,
inference(rw,[status(thm)],[eq_27,eq_7]) ).
cnf(eq_29,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_26,eq_6]) ).
cnf(eq_30,negated_conjecture,
multiply(multiply(c,b),a) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_1,eq_25]) ).
cnf(eq_31,plain,
add(X,multiply(Y,X)) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_28]),eq_10]) ).
cnf(eq_32,plain,
add(multiply(x101,Y),Y) = multiply(add(multiplicative_identity,x101),Y),
inference(cp,[status(thm)],[eq_0,eq_24]) ).
cnf(eq_33,plain,
X = add(multiply(Y,X),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_28]),eq_10]) ).
cnf(eq_34,plain,
multiply(multiply(X,add(Y,multiplicative_identity)),add(multiply(X,Y),x102)) = add(multiply(X,Y),multiply(X,x102)),
inference(cp,[status(thm)],[eq_19,eq_3]) ).
cnf(eq_35,plain,
multiply(add(inverse(x100),multiply(Y,Z)),x100) = multiply(multiply(Z,Y),x100),
inference(cp,[status(thm)],[eq_21,eq_22]) ).
cnf(eq_36,plain,
multiply(multiply(X,Y),Z) = multiply(multiply(Y,X),Z),
inference(rw,[status(thm)],[eq_35,eq_22]) ).
cnf(eq_37,plain,
multiply(X,add(Y,Z)) = multiply(X,add(multiply(X,Y),Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_29]),eq_9]),eq_5]) ).
cnf(eq_38,plain,
multiply(X,multiply(add(X,Z),Y)) = multiply(X,add(Y,multiply(Z,Y))),
inference(cp,[status(thm)],[eq_4,eq_37]) ).
cnf(eq_39,plain,
multiply(X,Y) = multiply(X,multiply(add(X,Z),Y)),
inference(rw,[status(thm)],[eq_38,eq_31]) ).
cnf(eq_40,plain,
multiply(multiply(Y,X),multiply(X,x102)) = multiply(multiply(Y,X),x102),
inference(cp,[status(thm)],[eq_33,eq_39]) ).
cnf(eq_41,plain,
multiply(multiply(X,Y),Z) = multiply(multiply(X,Y),multiply(Y,Z)),
eq_40 ).
cnf(eq_42,plain,
multiply(multiply(X,Y),Z) = multiply(multiply(Y,Z),multiply(X,Y)),
inference(cp,[status(thm)],[eq_41,eq_1]) ).
cnf(eq_43,plain,
multiply(multiply(X,Y),Z) = multiply(multiply(Y,X),multiply(Y,Z)),
inference(cp,[status(thm)],[eq_41,eq_36]) ).
cnf(eq_44,negated_conjecture,
multiply(multiply(b,a),multiply(c,b)) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_42,eq_30]) ).
cnf(eq_45,negated_conjecture,
multiply(multiply(b,a),multiply(b,c)) != multiply(multiply(a,b),c),
inference(cp,[status(thm)],[eq_1,eq_44]) ).
cnf(eq_46,negated_conjecture,
multiply(multiply(a,b),c) != multiply(multiply(a,b),c),
inference(rw,[status(thm)],[eq_45,eq_43]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO007-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n004.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 03:20:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 21.53/21.75 % SZS status Unsatisfiable
% 21.53/21.75 % SZS output start CNFRefutation for /tmp/MaedMax_32321
% See solution above
% 21.53/21.75
%------------------------------------------------------------------------------