%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG128-1 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 07:11:59 EDT 2022
% Result : Unsatisfiable 0.59s 0.81s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 10 RR)
% Number of literals : 36 ( 35 equ; 4 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(A,add(B,C)) = add(add(A,B),C),
file('/tmp/MaedMax_10090') ).
cnf(eq_1,axiom,
add(A,B) = add(B,A),
file('/tmp/MaedMax_10090') ).
cnf(eq_2,axiom,
mult(A,B) = mult(B,A),
file('/tmp/MaedMax_10090') ).
cnf(eq_3,axiom,
add(mult(A,B),mult(A,C)) = mult(A,add(B,C)),
file('/tmp/MaedMax_10090') ).
cnf(eq_4,axiom,
A = add(zero,A),
file('/tmp/MaedMax_10090') ).
cnf(eq_5,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_10090') ).
cnf(eq_6,axiom,
A = add(unit,add(A,mult(A,A))),
file('/tmp/MaedMax_10090') ).
cnf(eq_7,negated_conjecture,
add(x0,x1) != mult(x0,x1),
file('/tmp/MaedMax_10090') ).
cnf(eq_8,negated_conjecture,
add(x1,x0) != mult(x0,x1),
inference(rw,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_9,plain,
add(A,x102) = add(unit,add(add(A,mult(A,A)),x102)),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_10,plain,
add(A,mult(A,x102)) = mult(A,add(unit,x102)),
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_11,plain,
add(A,zero) = A,
inference(cp,[status(thm)],[eq_1,eq_4]) ).
cnf(eq_12,plain,
add(unit,mult(zero,zero)) = zero,
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_13,plain,
mult(unit,A) = A,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_14,plain,
add(A,mult(A,B)) = mult(A,add(unit,B)),
eq_10 ).
cnf(eq_15,plain,
add(A,B) = add(unit,add(A,add(mult(A,A),B))),
inference(rw,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_16,negated_conjecture,
mult(x1,x0) != add(x1,x0),
inference(cp,[status(thm)],[eq_2,eq_8]) ).
cnf(eq_17,plain,
add(A,mult(A,B)) = mult(add(unit,B),A),
inference(cp,[status(thm)],[eq_14,eq_2]) ).
cnf(eq_18,plain,
add(unit,add(unit,add(mult(unit,unit),mult(zero,zero)))) = zero,
inference(cp,[status(thm)],[eq_15,eq_12]) ).
cnf(eq_19,plain,
add(unit,unit) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_13]),eq_12]),eq_11]) ).
cnf(eq_20,plain,
add(unit,mult(zero,add(unit,unit))) = zero,
inference(cp,[status(thm)],[eq_19,eq_12]) ).
cnf(eq_21,plain,
zero = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_3]),eq_5]),eq_5]),eq_4]),eq_11]) ).
cnf(eq_22,plain,
A = add(A,mult(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_21]),eq_4]) ).
cnf(eq_23,plain,
add(A,mult(A,B)) = mult(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_21]),eq_4]) ).
cnf(eq_24,plain,
A = mult(A,A),
inference(cp,[status(thm)],[eq_22,eq_23]) ).
cnf(eq_25,plain,
add(A,B) = add(A,add(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_21]),eq_24]),eq_4]) ).
cnf(eq_26,plain,
add(A,mult(A,x102)) = mult(A,add(A,x102)),
inference(cp,[status(thm)],[eq_24,eq_3]) ).
cnf(eq_27,plain,
add(mult(A,x101),A) = mult(A,add(x101,A)),
inference(cp,[status(thm)],[eq_24,eq_3]) ).
cnf(eq_28,plain,
mult(A,B) = mult(B,add(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_1]),eq_23]) ).
cnf(eq_29,plain,
mult(A,B) = mult(B,add(B,A)),
inference(rw,[status(thm)],[eq_26,eq_23]) ).
cnf(eq_30,plain,
mult(B,A) = mult(B,add(B,A)),
inference(cp,[status(thm)],[eq_2,eq_29]) ).
cnf(eq_31,plain,
mult(A,B) = mult(A,add(A,B)),
eq_30 ).
cnf(eq_32,plain,
mult(add(A,B),add(A,B)) = mult(A,add(A,B)),
inference(cp,[status(thm)],[eq_25,eq_28]) ).
cnf(eq_33,plain,
add(A,B) = mult(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_24]),eq_31]) ).
cnf(eq_34,negated_conjecture,
add(x1,x0) != add(x1,x0),
inference(cp,[status(thm)],[eq_33,eq_16]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG128-1 : TPTP v8.1.0. Released v5.4.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n023.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 03:08:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.59/0.81 % SZS status Unsatisfiable
% 0.59/0.81 % SZS output start CNFRefutation for /tmp/MaedMax_10090
% See solution above
% 0.59/0.81
%------------------------------------------------------------------------------