TSTP Solution File: KLE060+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 : Wed May 31 12:15:41 EDT 2023

% Result   : Theorem 9.82s 1.61s
% Output   : CNFRefutation 9.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  106 ( 106 unt;   0 def)
%            Number of atoms       :  106 ( 105 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  193 (; 191   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : addition(A,B) = addition(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : multiplication(A,one) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A] : multiplication(one,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X0] : addition(domain(X0),one) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,conjecture,
    ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ~ ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f20,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f24,plain,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f25,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f26,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f27,plain,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f28,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f35,plain,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f36,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f37,plain,
    ! [X0] : addition(domain(X0),one) = one,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f39,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f40,plain,
    ? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1)),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

fof(f41,plain,
    domain(multiplication(domain(sk0_0),sk0_1)) != multiplication(domain(sk0_0),domain(sk0_1)),
    inference(skolemization,[status(esa)],[f40]) ).

fof(f42,plain,
    domain(multiplication(domain(sk0_0),sk0_1)) != multiplication(domain(sk0_0),domain(sk0_1)),
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f43,plain,
    ! [X0] : addition(one,domain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f20,f37]) ).

fof(f47,plain,
    ! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),X2)) = domain(multiplication(X0,multiplication(X1,domain(X2)))),
    inference(paramodulation,[status(thm)],[f24,f36]) ).

fof(f48,plain,
    ! [X0,X1,X2] : domain(multiplication(X0,multiplication(X1,X2))) = domain(multiplication(X0,multiplication(X1,domain(X2)))),
    inference(forward_demodulation,[status(thm)],[f24,f47]) ).

fof(f51,plain,
    ! [X0,X1,X2] : domain(addition(multiplication(X0,domain(X1)),X2)) = addition(domain(multiplication(X0,X1)),domain(X2)),
    inference(paramodulation,[status(thm)],[f36,f39]) ).

fof(f52,plain,
    ! [X0,X1,X2] : domain(addition(multiplication(X0,domain(X1)),X2)) = domain(addition(multiplication(X0,X1),X2)),
    inference(forward_demodulation,[status(thm)],[f39,f51]) ).

fof(f53,plain,
    ! [X0,X1,X2] : domain(addition(X0,multiplication(X1,domain(X2)))) = addition(domain(X0),domain(multiplication(X1,X2))),
    inference(paramodulation,[status(thm)],[f36,f39]) ).

fof(f54,plain,
    ! [X0,X1,X2] : domain(addition(X0,multiplication(X1,domain(X2)))) = domain(addition(X0,multiplication(X1,X2))),
    inference(forward_demodulation,[status(thm)],[f39,f53]) ).

fof(f55,plain,
    ! [X0,X1] : addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) = multiplication(domain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),
    inference(paramodulation,[status(thm)],[f36,f35]) ).

fof(f56,plain,
    ! [X0,X1] : addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
    inference(forward_demodulation,[status(thm)],[f36,f55]) ).

fof(f65,plain,
    ! [X0,X1,X2] : addition(multiplication(X0,multiplication(X1,domain(X2))),multiplication(domain(multiplication(X0,multiplication(X1,X2))),multiplication(X0,multiplication(X1,domain(X2))))) = multiplication(domain(multiplication(X0,multiplication(X1,domain(X2)))),multiplication(X0,multiplication(X1,domain(X2)))),
    inference(paramodulation,[status(thm)],[f48,f35]) ).

fof(f66,plain,
    ! [X0,X1,X2] : addition(multiplication(X0,multiplication(X1,domain(X2))),multiplication(domain(multiplication(X0,multiplication(X1,X2))),multiplication(X0,multiplication(X1,domain(X2))))) = multiplication(domain(multiplication(X0,multiplication(X1,X2))),multiplication(X0,multiplication(X1,domain(X2)))),
    inference(forward_demodulation,[status(thm)],[f48,f65]) ).

fof(f1008,plain,
    addition(one,domain(one)) = multiplication(domain(one),one),
    inference(paramodulation,[status(thm)],[f25,f35]) ).

fof(f1009,plain,
    one = multiplication(domain(one),one),
    inference(forward_demodulation,[status(thm)],[f43,f1008]) ).

fof(f1010,plain,
    one = domain(one),
    inference(forward_demodulation,[status(thm)],[f25,f1009]) ).

fof(f1038,plain,
    ! [X0,X1] : addition(multiplication(one,multiplication(X0,domain(X1))),multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(X0,domain(X1)))) = multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(one,multiplication(X0,domain(X1)))),
    inference(paramodulation,[status(thm)],[f26,f66]) ).

fof(f1039,plain,
    ! [X0,X1] : multiplication(addition(one,domain(multiplication(one,multiplication(X0,X1)))),multiplication(X0,domain(X1))) = multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(one,multiplication(X0,domain(X1)))),
    inference(forward_demodulation,[status(thm)],[f28,f1038]) ).

fof(f1040,plain,
    ! [X0,X1] : multiplication(one,multiplication(X0,domain(X1))) = multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(one,multiplication(X0,domain(X1)))),
    inference(forward_demodulation,[status(thm)],[f43,f1039]) ).

fof(f1041,plain,
    ! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(one,multiplication(X0,domain(X1)))),
    inference(forward_demodulation,[status(thm)],[f26,f1040]) ).

fof(f1042,plain,
    ! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(one,multiplication(X0,domain(X1)))),
    inference(forward_demodulation,[status(thm)],[f26,f1041]) ).

fof(f1043,plain,
    ! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
    inference(forward_demodulation,[status(thm)],[f26,f1042]) ).

fof(f1109,plain,
    ! [X0,X1] : domain(addition(domain(X0),X1)) = domain(addition(multiplication(one,X0),X1)),
    inference(paramodulation,[status(thm)],[f26,f52]) ).

fof(f1110,plain,
    ! [X0,X1] : domain(addition(domain(X0),X1)) = domain(addition(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f26,f1109]) ).

fof(f1113,plain,
    ! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
    inference(paramodulation,[status(thm)],[f26,f36]) ).

fof(f1114,plain,
    ! [X0] : domain(X0) = domain(domain(X0)),
    inference(forward_demodulation,[status(thm)],[f26,f1113]) ).

fof(f1122,plain,
    ! [X0] : addition(multiplication(one,domain(X0)),multiplication(domain(X0),multiplication(one,domain(X0)))) = multiplication(domain(multiplication(one,X0)),multiplication(one,domain(X0))),
    inference(paramodulation,[status(thm)],[f26,f56]) ).

fof(f1123,plain,
    ! [X0] : addition(domain(X0),multiplication(domain(X0),multiplication(one,domain(X0)))) = multiplication(domain(multiplication(one,X0)),multiplication(one,domain(X0))),
    inference(forward_demodulation,[status(thm)],[f26,f1122]) ).

fof(f1124,plain,
    ! [X0] : addition(domain(X0),multiplication(domain(X0),domain(X0))) = multiplication(domain(multiplication(one,X0)),multiplication(one,domain(X0))),
    inference(forward_demodulation,[status(thm)],[f26,f1123]) ).

fof(f1125,plain,
    ! [X0] : addition(domain(X0),multiplication(domain(X0),domain(X0))) = multiplication(one,domain(X0)),
    inference(forward_demodulation,[status(thm)],[f1043,f1124]) ).

fof(f1126,plain,
    ! [X0] : addition(domain(X0),multiplication(domain(X0),domain(X0))) = domain(X0),
    inference(forward_demodulation,[status(thm)],[f26,f1125]) ).

fof(f1222,plain,
    ! [X0] : domain(addition(X0,one)) = addition(domain(X0),one),
    inference(paramodulation,[status(thm)],[f1010,f39]) ).

fof(f1223,plain,
    ! [X0] : domain(addition(X0,one)) = addition(one,domain(X0)),
    inference(forward_demodulation,[status(thm)],[f20,f1222]) ).

fof(f1224,plain,
    ! [X0] : domain(addition(X0,one)) = one,
    inference(forward_demodulation,[status(thm)],[f43,f1223]) ).

fof(f1360,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)),
    inference(paramodulation,[status(thm)],[f39,f20]) ).

fof(f1361,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = domain(addition(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f39,f1360]) ).

fof(f1460,plain,
    ! [X0] : addition(domain(X0),multiplication(domain(X0),domain(X0))) = multiplication(domain(domain(X0)),domain(X0)),
    inference(paramodulation,[status(thm)],[f1114,f35]) ).

fof(f1461,plain,
    ! [X0] : domain(X0) = multiplication(domain(domain(X0)),domain(X0)),
    inference(forward_demodulation,[status(thm)],[f1126,f1460]) ).

fof(f1462,plain,
    ! [X0] : domain(X0) = multiplication(domain(X0),domain(X0)),
    inference(forward_demodulation,[status(thm)],[f1114,f1461]) ).

fof(f1520,plain,
    ! [X0,X1,X2] : domain(addition(X0,multiplication(X1,one))) = domain(addition(X0,multiplication(X1,addition(X2,one)))),
    inference(paramodulation,[status(thm)],[f1224,f54]) ).

fof(f1521,plain,
    ! [X0,X1,X2] : domain(addition(X0,X1)) = domain(addition(X0,multiplication(X1,addition(X2,one)))),
    inference(forward_demodulation,[status(thm)],[f25,f1520]) ).

fof(f1531,plain,
    ! [X0,X1] : domain(addition(X0,addition(X1,one))) = addition(domain(X0),one),
    inference(paramodulation,[status(thm)],[f1224,f39]) ).

fof(f1532,plain,
    ! [X0,X1] : domain(addition(X0,addition(X1,one))) = addition(one,domain(X0)),
    inference(forward_demodulation,[status(thm)],[f20,f1531]) ).

fof(f1533,plain,
    ! [X0,X1] : domain(addition(X0,addition(X1,one))) = one,
    inference(forward_demodulation,[status(thm)],[f43,f1532]) ).

fof(f1658,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f25,f27]) ).

fof(f1702,plain,
    ! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f26,f28]) ).

fof(f1878,plain,
    ! [X0,X1] : multiplication(domain(X0),multiplication(domain(X0),X1)) = multiplication(domain(X0),X1),
    inference(paramodulation,[status(thm)],[f1462,f24]) ).

fof(f2238,plain,
    ! [X0,X1,X2] : domain(multiplication(X0,addition(X1,addition(X2,one)))) = domain(multiplication(X0,one)),
    inference(paramodulation,[status(thm)],[f1533,f36]) ).

fof(f2239,plain,
    ! [X0,X1,X2] : domain(multiplication(X0,addition(X1,addition(X2,one)))) = domain(X0),
    inference(forward_demodulation,[status(thm)],[f25,f2238]) ).

fof(f3308,plain,
    ! [X0,X1,X2] : multiplication(domain(X0),addition(X1,multiplication(domain(X0),X2))) = addition(multiplication(domain(X0),X1),multiplication(domain(X0),X2)),
    inference(paramodulation,[status(thm)],[f1878,f27]) ).

fof(f3309,plain,
    ! [X0,X1,X2] : multiplication(domain(X0),addition(X1,multiplication(domain(X0),X2))) = multiplication(domain(X0),addition(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f27,f3308]) ).

fof(f3335,plain,
    ! [X0,X1,X2] : domain(addition(multiplication(X0,X1),X0)) = domain(multiplication(X0,addition(X1,addition(X2,one)))),
    inference(paramodulation,[status(thm)],[f27,f1521]) ).

fof(f3336,plain,
    ! [X0,X1,X2] : domain(addition(X0,multiplication(X0,X1))) = domain(multiplication(X0,addition(X1,addition(X2,one)))),
    inference(forward_demodulation,[status(thm)],[f1361,f3335]) ).

fof(f3337,plain,
    ! [X0,X1] : domain(addition(X0,multiplication(X0,X1))) = domain(X0),
    inference(forward_demodulation,[status(thm)],[f2239,f3336]) ).

fof(f3439,plain,
    ! [X0,X1] : domain(addition(X0,multiplication(domain(X0),X1))) = domain(domain(X0)),
    inference(paramodulation,[status(thm)],[f1110,f3337]) ).

fof(f3440,plain,
    ! [X0,X1] : domain(addition(X0,multiplication(domain(X0),X1))) = domain(X0),
    inference(forward_demodulation,[status(thm)],[f1114,f3439]) ).

fof(f4118,plain,
    ! [X0] : multiplication(X0,domain(one)) = multiplication(domain(X0),multiplication(X0,domain(one))),
    inference(paramodulation,[status(thm)],[f25,f1043]) ).

fof(f4119,plain,
    ! [X0] : multiplication(X0,one) = multiplication(domain(X0),multiplication(X0,domain(one))),
    inference(forward_demodulation,[status(thm)],[f1010,f4118]) ).

fof(f4120,plain,
    ! [X0] : X0 = multiplication(domain(X0),multiplication(X0,domain(one))),
    inference(forward_demodulation,[status(thm)],[f25,f4119]) ).

fof(f4121,plain,
    ! [X0] : X0 = multiplication(domain(X0),multiplication(X0,one)),
    inference(forward_demodulation,[status(thm)],[f1010,f4120]) ).

fof(f4122,plain,
    ! [X0] : X0 = multiplication(domain(X0),X0),
    inference(forward_demodulation,[status(thm)],[f25,f4121]) ).

fof(f4582,plain,
    ! [X0,X1] : addition(X0,multiplication(domain(X0),X1)) = multiplication(domain(X0),addition(X0,multiplication(domain(X0),X1))),
    inference(paramodulation,[status(thm)],[f3440,f4122]) ).

fof(f4583,plain,
    ! [X0,X1] : addition(X0,multiplication(domain(X0),X1)) = multiplication(domain(X0),addition(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f3309,f4582]) ).

fof(f4681,plain,
    ! [X0,X1] : multiplication(domain(X0),addition(X1,X0)) = addition(multiplication(domain(X0),X1),X0),
    inference(paramodulation,[status(thm)],[f4122,f27]) ).

fof(f4682,plain,
    ! [X0,X1] : multiplication(domain(X0),addition(X1,X0)) = addition(X0,multiplication(domain(X0),X1)),
    inference(forward_demodulation,[status(thm)],[f20,f4681]) ).

fof(f6215,plain,
    ! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,domain(X1))),
    inference(paramodulation,[status(thm)],[f43,f1658]) ).

fof(f6216,plain,
    ! [X0,X1] : X0 = addition(X0,multiplication(X0,domain(X1))),
    inference(forward_demodulation,[status(thm)],[f25,f6215]) ).

fof(f6724,plain,
    ! [X0,X1] : multiplication(one,X0) = addition(X0,multiplication(domain(X1),X0)),
    inference(paramodulation,[status(thm)],[f43,f1702]) ).

fof(f6725,plain,
    ! [X0,X1] : X0 = addition(X0,multiplication(domain(X1),X0)),
    inference(forward_demodulation,[status(thm)],[f26,f6724]) ).

fof(f10905,plain,
    ! [X0,X1] : addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = multiplication(domain(domain(X0)),domain(addition(X0,X1))),
    inference(paramodulation,[status(thm)],[f39,f4583]) ).

fof(f10906,plain,
    ! [X0,X1] : addition(domain(X0),multiplication(domain(X0),domain(X1))) = multiplication(domain(domain(X0)),domain(addition(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f1114,f10905]) ).

fof(f10907,plain,
    ! [X0,X1] : domain(X0) = multiplication(domain(domain(X0)),domain(addition(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f6216,f10906]) ).

fof(f10908,plain,
    ! [X0,X1] : domain(X0) = multiplication(domain(X0),domain(addition(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f1114,f10907]) ).

fof(f11164,plain,
    ! [X0,X1] : domain(X0) = multiplication(domain(X0),domain(addition(X1,X0))),
    inference(paramodulation,[status(thm)],[f1361,f10908]) ).

fof(f11448,plain,
    ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(multiplication(domain(X0),X1)),domain(X1)),
    inference(paramodulation,[status(thm)],[f6725,f11164]) ).

fof(f13972,plain,
    ! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),X1) = addition(multiplication(domain(X0),X1),multiplication(domain(multiplication(domain(X0),X1)),X1)),
    inference(paramodulation,[status(thm)],[f6725,f4682]) ).

fof(f13973,plain,
    ! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),X1) = multiplication(addition(domain(X0),domain(multiplication(domain(X0),X1))),X1),
    inference(forward_demodulation,[status(thm)],[f28,f13972]) ).

fof(f13974,plain,
    ! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),X1) = multiplication(domain(addition(X0,multiplication(domain(X0),X1))),X1),
    inference(forward_demodulation,[status(thm)],[f39,f13973]) ).

fof(f13975,plain,
    ! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),X1) = multiplication(domain(X0),X1),
    inference(forward_demodulation,[status(thm)],[f3440,f13974]) ).

fof(f14159,plain,
    ! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),domain(X1)) = multiplication(domain(X0),domain(X1)),
    inference(paramodulation,[status(thm)],[f36,f13975]) ).

fof(f14160,plain,
    ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
    inference(forward_demodulation,[status(thm)],[f11448,f14159]) ).

fof(f14495,plain,
    multiplication(domain(sk0_0),domain(sk0_1)) != multiplication(domain(sk0_0),domain(sk0_1)),
    inference(backward_demodulation,[status(thm)],[f14160,f42]) ).

fof(f14496,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f14495]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32  % Computer : n002.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue May 30 12:00:43 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.33  % Drodi V3.5.1
% 9.82/1.61  % Refutation found
% 9.82/1.61  % SZS status Theorem for theBenchmark: Theorem is valid
% 9.82/1.61  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.41/1.68  % Elapsed time: 1.335027 seconds
% 10.41/1.68  % CPU time: 10.362422 seconds
% 10.41/1.68  % Memory used: 240.866 MB
%------------------------------------------------------------------------------