TSTP Solution File: BOO014-4 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO014-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:02:48 EDT 2023
% Result : Unsatisfiable 45.92s 6.16s
% Output : CNFRefutation 46.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 9
% Syntax : Number of formulae : 135 ( 135 unt; 0 def)
% Number of atoms : 135 ( 134 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 288 (; 288 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
inverse(add(a,b)) != multiply(inverse(a),inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
inverse(add(a,b)) != multiply(inverse(a),inverse(b)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f19,plain,
! [X0] : X0 = add(additive_identity,X0),
inference(paramodulation,[status(thm)],[f14,f10]) ).
fof(f27,plain,
! [X0] : X0 = multiply(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f15,f11]) ).
fof(f31,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X2),add(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f12]) ).
fof(f32,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f12,f31]) ).
fof(f37,plain,
! [X0,X1] : add(X0,multiply(additive_identity,X1)) = multiply(X0,add(X0,X1)),
inference(paramodulation,[status(thm)],[f14,f12]) ).
fof(f38,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X0,X2)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f45,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f57,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f58,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f15,f57]) ).
fof(f59,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f60,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f27,f59]) ).
fof(f67,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f10,f13]) ).
fof(f68,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = multiply(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f13,f67]) ).
fof(f73,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(add(X0,X2),X3)) = add(add(X0,multiply(X1,X2)),multiply(add(X0,X1),X3)),
inference(paramodulation,[status(thm)],[f12,f13]) ).
fof(f74,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = add(additive_identity,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f13]) ).
fof(f75,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f74]) ).
fof(f84,plain,
! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f85,plain,
! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10,f84]) ).
fof(f99,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f27,f58]) ).
fof(f100,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f16,f99]) ).
fof(f101,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(paramodulation,[status(thm)],[f17,f58]) ).
fof(f102,plain,
! [X0] : X0 = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f14,f101]) ).
fof(f118,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f100,f85]) ).
fof(f119,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f118]) ).
fof(f125,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X0,X1),X0),
inference(paramodulation,[status(thm)],[f102,f12]) ).
fof(f126,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f11,f125]) ).
fof(f127,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = add(X0,multiply(additive_identity,X1)),
inference(forward_demodulation,[status(thm)],[f37,f126]) ).
fof(f128,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(paramodulation,[status(thm)],[f102,f12]) ).
fof(f129,plain,
! [X0,X1] : X0 = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f119,f128]) ).
fof(f130,plain,
! [X0,X1] : X0 = add(X0,multiply(additive_identity,X1)),
inference(forward_demodulation,[status(thm)],[f37,f129]) ).
fof(f131,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f130,f127]) ).
fof(f159,plain,
! [X0,X1,X2] : add(X0,X1) = add(add(X0,X1),add(X0,multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f12,f119]) ).
fof(f210,plain,
! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f17,f60]) ).
fof(f211,plain,
! [X0] : X0 = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f14,f210]) ).
fof(f250,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = add(X2,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f10,f32]) ).
fof(f324,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X0,multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f131,f75]) ).
fof(f325,plain,
! [X0,X1] : additive_identity = multiply(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f17,f324]) ).
fof(f330,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f16,f75]) ).
fof(f331,plain,
! [X0] : X0 = multiply(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f15,f330]) ).
fof(f352,plain,
! [X0,X1,X2] : multiply(X0,add(add(inverse(X0),X1),X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f75,f13]) ).
fof(f353,plain,
! [X0,X1,X2] : multiply(X0,add(add(inverse(X0),X1),X2)) = multiply(X0,add(X1,X2)),
inference(forward_demodulation,[status(thm)],[f13,f352]) ).
fof(f363,plain,
! [X0] : add(inverse(inverse(X0)),X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f331,f131]) ).
fof(f364,plain,
! [X0] : add(X0,inverse(inverse(X0))) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f10,f363]) ).
fof(f365,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f211,f364]) ).
fof(f367,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(inverse(X0)))) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f331,f13]) ).
fof(f368,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f365,f367]) ).
fof(f369,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10,f368]) ).
fof(f370,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f119,f369]) ).
fof(f371,plain,
! [X0,X1] : multiply(X0,add(inverse(inverse(X0)),X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f331,f13]) ).
fof(f372,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f365,f371]) ).
fof(f373,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f119,f372]) ).
fof(f434,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,add(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f370,f60]) ).
fof(f435,plain,
! [X0,X1] : multiplicative_identity = add(X0,add(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f16,f434]) ).
fof(f442,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(X2,X0))) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f370,f13]) ).
fof(f443,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(X2,X0))) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10,f442]) ).
fof(f444,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f119,f443]) ).
fof(f513,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f38]) ).
fof(f547,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,add(inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f373,f60]) ).
fof(f548,plain,
! [X0,X1] : multiplicative_identity = add(X0,add(inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f16,f547]) ).
fof(f556,plain,
! [X0,X1,X2] : multiply(X0,add(add(X0,X1),X2)) = add(X0,multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f373,f13]) ).
fof(f557,plain,
! [X0,X1,X2] : multiply(X0,add(add(X0,X1),X2)) = X0,
inference(forward_demodulation,[status(thm)],[f119,f556]) ).
fof(f566,plain,
! [X0,X1] : additive_identity = multiply(inverse(X0),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f365,f325]) ).
fof(f856,plain,
! [X0,X1] : multiplicative_identity = add(inverse(X0),add(X1,X0)),
inference(paramodulation,[status(thm)],[f365,f435]) ).
fof(f982,plain,
! [X0,X1,X2] : add(add(X0,add(X1,X2)),X2) = add(X0,add(X1,X2)),
inference(paramodulation,[status(thm)],[f444,f131]) ).
fof(f983,plain,
! [X0,X1,X2] : add(X0,add(X1,add(X2,X0))) = add(X1,add(X2,X0)),
inference(forward_demodulation,[status(thm)],[f10,f982]) ).
fof(f1098,plain,
! [X0,X1,X2] : add(X0,multiply(inverse(X0),add(X1,X2))) = add(X0,add(X2,X1)),
inference(paramodulation,[status(thm)],[f68,f60]) ).
fof(f1099,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f60,f1098]) ).
fof(f1343,plain,
! [X0,X1,X2] : add(X0,multiply(add(inverse(X0),X1),X2)) = multiply(multiplicative_identity,add(X2,X0)),
inference(paramodulation,[status(thm)],[f548,f45]) ).
fof(f1344,plain,
! [X0,X1,X2] : add(X0,multiply(add(inverse(X0),X1),X2)) = add(X2,X0),
inference(forward_demodulation,[status(thm)],[f27,f1343]) ).
fof(f1486,plain,
! [X0,X1,X2] : add(add(add(X0,X1),X2),X0) = add(add(X0,X1),X2),
inference(paramodulation,[status(thm)],[f557,f131]) ).
fof(f1487,plain,
! [X0,X1,X2] : add(X0,add(add(X0,X1),X2)) = add(add(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f10,f1486]) ).
fof(f1683,plain,
! [X0,X1,X2,X3] : multiply(add(X0,add(inverse(X0),X1)),add(add(X0,X2),X3)) = add(add(X0,multiply(add(inverse(X0),X1),X2)),multiply(multiplicative_identity,X3)),
inference(paramodulation,[status(thm)],[f548,f73]) ).
fof(f1684,plain,
! [X0,X1,X2,X3] : multiply(multiplicative_identity,add(add(X0,X1),X2)) = add(add(X0,multiply(add(inverse(X0),X3),X1)),multiply(multiplicative_identity,X2)),
inference(forward_demodulation,[status(thm)],[f548,f1683]) ).
fof(f1685,plain,
! [X0,X1,X2,X3] : add(add(X0,X1),X2) = add(add(X0,multiply(add(inverse(X0),X3),X1)),multiply(multiplicative_identity,X2)),
inference(forward_demodulation,[status(thm)],[f27,f1684]) ).
fof(f1686,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X1,X0),multiply(multiplicative_identity,X2)),
inference(forward_demodulation,[status(thm)],[f1344,f1685]) ).
fof(f1687,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f27,f1686]) ).
fof(f1815,plain,
! [X0,X1] : additive_identity = multiply(inverse(add(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f373,f566]) ).
fof(f1816,plain,
! [X0,X1] : additive_identity = multiply(X0,inverse(add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f1815]) ).
fof(f1817,plain,
! [X0,X1] : additive_identity = multiply(inverse(add(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f370,f566]) ).
fof(f1818,plain,
! [X0,X1] : additive_identity = multiply(X0,inverse(add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f11,f1817]) ).
fof(f2154,plain,
! [X0,X1] : multiplicative_identity = add(inverse(multiply(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f119,f856]) ).
fof(f2155,plain,
! [X0,X1] : multiplicative_identity = add(X0,inverse(multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f10,f2154]) ).
fof(f2502,plain,
! [X0,X1] : add(X0,additive_identity) = add(X0,inverse(add(inverse(X0),X1))),
inference(paramodulation,[status(thm)],[f1816,f60]) ).
fof(f2503,plain,
! [X0,X1] : X0 = add(X0,inverse(add(inverse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f14,f2502]) ).
fof(f2594,plain,
! [X0,X1] : add(X0,additive_identity) = add(X0,inverse(add(X1,inverse(X0)))),
inference(paramodulation,[status(thm)],[f1818,f60]) ).
fof(f2595,plain,
! [X0,X1] : X0 = add(X0,inverse(add(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f14,f2594]) ).
fof(f2780,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(multiply(inverse(X0),X1))),
inference(paramodulation,[status(thm)],[f2155,f75]) ).
fof(f2781,plain,
! [X0,X1] : X0 = multiply(X0,inverse(multiply(inverse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f2780]) ).
fof(f13167,plain,
! [X0,X1] : multiplicative_identity = add(add(X0,X1),inverse(add(X1,X0))),
inference(paramodulation,[status(thm)],[f16,f1687]) ).
fof(f13557,plain,
! [X0,X1,X2] : add(X0,X1) = add(add(X0,X1),add(multiply(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f1099,f159]) ).
fof(f23398,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = multiply(X0,add(X1,inverse(add(inverse(X0),X1)))),
inference(paramodulation,[status(thm)],[f16,f353]) ).
fof(f23399,plain,
! [X0,X1] : X0 = multiply(X0,add(X1,inverse(add(inverse(X0),X1)))),
inference(forward_demodulation,[status(thm)],[f15,f23398]) ).
fof(f23562,plain,
! [X0,X1,X2] : add(X0,multiply(inverse(X0),add(X1,X2))) = add(X0,add(add(inverse(inverse(X0)),X1),X2)),
inference(paramodulation,[status(thm)],[f353,f60]) ).
fof(f23563,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(add(inverse(inverse(X0)),X1),X2)),
inference(forward_demodulation,[status(thm)],[f60,f23562]) ).
fof(f23564,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(add(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f365,f23563]) ).
fof(f23565,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f1487,f23564]) ).
fof(f24730,plain,
! [X0,X1] : multiplicative_identity = add(X0,add(X1,inverse(add(X1,X0)))),
inference(backward_demodulation,[status(thm)],[f23565,f13167]) ).
fof(f24832,plain,
! [X0,X1,X2] : add(X0,X1) = add(X0,add(X1,add(multiply(X1,X2),X0))),
inference(backward_demodulation,[status(thm)],[f23565,f13557]) ).
fof(f24833,plain,
! [X0,X1,X2] : add(X0,X1) = add(X1,add(multiply(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f983,f24832]) ).
fof(f38020,plain,
! [X0,X1,X2] : add(inverse(add(inverse(X0),X1)),multiply(X0,X2)) = multiply(X0,add(X2,inverse(add(inverse(X0),X1)))),
inference(paramodulation,[status(thm)],[f2503,f513]) ).
fof(f38021,plain,
! [X0,X1,X2] : add(inverse(add(X0,inverse(X1))),multiply(X1,X2)) = multiply(X1,add(X2,inverse(add(X0,inverse(X1))))),
inference(paramodulation,[status(thm)],[f2595,f513]) ).
fof(f38511,plain,
! [X0,X1] : X0 = add(inverse(add(inverse(X0),X1)),multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f38020,f23399]) ).
fof(f38512,plain,
! [X0,X1] : X0 = add(multiply(X1,X0),inverse(add(inverse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f250,f38511]) ).
fof(f47535,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = multiply(X0,add(X1,inverse(add(X1,inverse(X0))))),
inference(paramodulation,[status(thm)],[f24730,f75]) ).
fof(f47536,plain,
! [X0,X1] : X0 = multiply(X0,add(X1,inverse(add(X1,inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f15,f47535]) ).
fof(f47537,plain,
! [X0,X1] : X0 = add(inverse(add(X1,inverse(X0))),multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f38021,f47536]) ).
fof(f47538,plain,
! [X0,X1] : X0 = add(multiply(X1,X0),inverse(add(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f250,f47537]) ).
fof(f65735,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = add(X0,inverse(add(inverse(inverse(multiply(inverse(X0),X1))),X0))),
inference(paramodulation,[status(thm)],[f2781,f38512]) ).
fof(f65736,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = add(X0,inverse(add(X0,inverse(inverse(multiply(inverse(X0),X1)))))),
inference(forward_demodulation,[status(thm)],[f10,f65735]) ).
fof(f65737,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = add(X0,inverse(add(X0,multiply(inverse(X0),X1)))),
inference(forward_demodulation,[status(thm)],[f365,f65736]) ).
fof(f65738,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = add(X0,inverse(add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f60,f65737]) ).
fof(f68102,plain,
! [X0,X1] : add(inverse(add(X0,inverse(X1))),X0) = add(X0,X1),
inference(paramodulation,[status(thm)],[f47538,f24833]) ).
fof(f68103,plain,
! [X0,X1] : add(X0,inverse(add(X0,inverse(X1)))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f10,f68102]) ).
fof(f68104,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(X1))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f65738,f68103]) ).
fof(f68576,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = inverse(add(X0,X1)),
inference(paramodulation,[status(thm)],[f68104,f365]) ).
fof(f69229,plain,
inverse(add(a,b)) != inverse(add(a,b)),
inference(backward_demodulation,[status(thm)],[f68576,f18]) ).
fof(f69230,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f69229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO014-4 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 May 30 11:06:52 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 45.92/6.16 % Refutation found
% 45.92/6.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 45.92/6.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 46.91/6.28 % Elapsed time: 5.917134 seconds
% 46.91/6.28 % CPU time: 46.646689 seconds
% 46.91/6.28 % Memory used: 475.882 MB
%------------------------------------------------------------------------------