TSTP Solution File: BOO028-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO028-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:02:51 EDT 2023
% Result : Unsatisfiable 36.55s 5.04s
% Output : CNFRefutation 37.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 9
% Syntax : Number of formulae : 197 ( 197 unt; 0 def)
% Number of atoms : 197 ( 196 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 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 : 491 (; 491 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : add(X,multiply(Y,multiply(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : multiply(add(X,Y),add(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(X,add(Y,add(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : add(multiply(X,Y),multiply(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1,X2] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0,X1] : multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f23,plain,
multiply(a,add(b,c)) != add(multiply(a,b),multiply(c,a)),
inference(forward_demodulation,[status(thm)],[f19,f22]) ).
fof(f24,plain,
multiply(a,add(b,c)) != add(multiply(a,b),multiply(a,c)),
inference(forward_demodulation,[status(thm)],[f19,f23]) ).
fof(f39,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f40,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f18,f15]) ).
fof(f42,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f44,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : add(X0,X1) = add(X0,add(multiply(X2,multiply(X0,X3)),X1)),
inference(paramodulation,[status(thm)],[f12,f20]) ).
fof(f50,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f51,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f50]) ).
fof(f54,plain,
! [X0,X1,X2,X3] : multiply(X0,add(X1,add(X2,add(X0,X3)))) = X0,
inference(paramodulation,[status(thm)],[f20,f15]) ).
fof(f62,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f18,f39]) ).
fof(f73,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f19,f42]) ).
fof(f76,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f42,f39]) ).
fof(f77,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f76]) ).
fof(f78,plain,
! [X0,X1,X2] : add(X0,X1) = add(X0,add(multiply(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f42,f20]) ).
fof(f83,plain,
! [X0] : multiply(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f12,f62]) ).
fof(f87,plain,
! [X0,X1] : add(add(X0,X1),X0) = add(X0,X1),
inference(paramodulation,[status(thm)],[f62,f42]) ).
fof(f88,plain,
! [X0,X1] : add(X0,add(X1,X0)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f87]) ).
fof(f91,plain,
! [X0] : add(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f83,f42]) ).
fof(f100,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(paramodulation,[status(thm)],[f91,f20]) ).
fof(f111,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f73,f39]) ).
fof(f112,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f111]) ).
fof(f138,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),add(X2,X0)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f73,f40]) ).
fof(f139,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,add(X2,X0))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f21,f138]) ).
fof(f197,plain,
! [X0,X1] : multiply(add(X0,X1),add(X1,X0)) = add(X0,X1),
inference(paramodulation,[status(thm)],[f88,f39]) ).
fof(f198,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(add(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f88,f20]) ).
fof(f199,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(add(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f20,f198]) ).
fof(f200,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X1,add(X0,X2))),
inference(forward_demodulation,[status(thm)],[f20,f199]) ).
fof(f211,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f224,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f225,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f21,f224]) ).
fof(f407,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(multiply(X0,X1)))) = X0,
inference(paramodulation,[status(thm)],[f112,f17]) ).
fof(f408,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X1,inverse(multiply(X0,X1)))) = X1,
inference(paramodulation,[status(thm)],[f77,f17]) ).
fof(f414,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f19,f17]) ).
fof(f420,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(inverse(X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f17]) ).
fof(f443,plain,
! [X0,X1,X2] : add(multiply(X0,multiply(X1,X2)),multiply(X2,inverse(multiply(X0,X1)))) = X2,
inference(paramodulation,[status(thm)],[f21,f414]) ).
fof(f452,plain,
! [X0,X1] : add(X0,multiply(add(X1,X0),inverse(X0))) = add(X1,X0),
inference(paramodulation,[status(thm)],[f39,f414]) ).
fof(f453,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),add(X1,X0))) = add(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f452]) ).
fof(f482,plain,
! [X0,X1] : multiply(X0,add(multiply(X1,X0),inverse(multiply(X0,inverse(X1))))) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f414,f14]) ).
fof(f484,plain,
! [X0,X1,X2] : multiply(add(X0,add(X1,X2)),add(add(X0,X1),inverse(X2))) = add(X0,X1),
inference(paramodulation,[status(thm)],[f20,f14]) ).
fof(f485,plain,
! [X0,X1,X2] : multiply(add(X0,add(X1,X2)),add(X0,add(X1,inverse(X2)))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f484]) ).
fof(f494,plain,
! [X0,X1] : multiply(add(X0,X1),add(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f18,f14]) ).
fof(f533,plain,
! [X0,X1] : multiply(X0,add(multiply(X0,X1),inverse(X0))) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f73,f494]) ).
fof(f534,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),multiply(X0,X1))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f533]) ).
fof(f535,plain,
! [X0,X1] : multiply(X0,add(multiply(X1,X0),inverse(X0))) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f42,f494]) ).
fof(f536,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),multiply(X1,X0))) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f18,f535]) ).
fof(f543,plain,
! [X0,X1] : multiply(add(X0,X1),add(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f18,f494]) ).
fof(f842,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f211]) ).
fof(f1016,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f44]) ).
fof(f1125,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,add(X0,X1))),
inference(paramodulation,[status(thm)],[f44,f100]) ).
fof(f1126,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f200,f1125]) ).
fof(f1153,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f211,f225]) ).
fof(f1164,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(add(X2,X1),multiply(X0,add(X1,inverse(X2)))),
inference(paramodulation,[status(thm)],[f494,f225]) ).
fof(f1165,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(add(X1,X2),multiply(X0,add(X1,inverse(X2)))),
inference(paramodulation,[status(thm)],[f14,f225]) ).
fof(f1234,plain,
! [X0,X1,X2] : add(multiply(X0,multiply(X1,X2)),multiply(X1,inverse(multiply(X0,X2)))) = X1,
inference(paramodulation,[status(thm)],[f225,f17]) ).
fof(f1315,plain,
! [X0,X1,X2] : add(X0,X1) = add(multiply(X2,X1),add(X0,multiply(X1,inverse(X2)))),
inference(paramodulation,[status(thm)],[f414,f51]) ).
fof(f1611,plain,
! [X0,X1,X2] : add(multiply(X0,multiply(X1,X2)),multiply(X2,inverse(multiply(X1,X0)))) = X2,
inference(paramodulation,[status(thm)],[f842,f17]) ).
fof(f1693,plain,
! [X0,X1,X2] : add(X0,multiply(X1,inverse(multiply(X0,X2)))) = add(X0,X1),
inference(paramodulation,[status(thm)],[f17,f49]) ).
fof(f2109,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X1,inverse(multiply(X1,X0)))) = X1,
inference(paramodulation,[status(thm)],[f19,f407]) ).
fof(f2247,plain,
! [X0,X1,X2,X3] : add(X0,multiply(add(X1,add(X2,add(X0,X3))),inverse(multiply(X0,add(X1,add(X2,add(X0,X3))))))) = add(X1,add(X2,add(X0,X3))),
inference(paramodulation,[status(thm)],[f54,f408]) ).
fof(f2248,plain,
! [X0,X1,X2,X3] : add(X0,add(X1,add(X2,add(X0,X3)))) = add(X1,add(X2,add(X0,X3))),
inference(forward_demodulation,[status(thm)],[f1693,f2247]) ).
fof(f3588,plain,
! [X0,X1,X2] : multiply(X0,multiply(add(X1,X2),add(X2,X1))) = multiply(X0,add(X2,X1)),
inference(paramodulation,[status(thm)],[f197,f1153]) ).
fof(f3589,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = multiply(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f197,f3588]) ).
fof(f3604,plain,
! [X0,X1,X2] : multiply(add(X0,X1),multiply(add(X1,X0),X2)) = multiply(X2,add(X1,X0)),
inference(paramodulation,[status(thm)],[f197,f842]) ).
fof(f3623,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(add(X0,X1),multiply(add(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f197,f21]) ).
fof(f3624,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(X2,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3604,f3623]) ).
fof(f3752,plain,
! [X0,X1,X2] : add(multiply(X0,add(X1,X2)),multiply(X0,inverse(add(X2,X1)))) = X0,
inference(paramodulation,[status(thm)],[f3589,f17]) ).
fof(f3939,plain,
! [X0,X1,X2] : add(X0,add(X1,multiply(inverse(X0),add(X2,X0)))) = add(X1,add(X2,X0)),
inference(paramodulation,[status(thm)],[f453,f51]) ).
fof(f3994,plain,
! [X0,X1,X2,X3] : add(X0,add(X1,add(X2,X3))) = add(X0,add(add(X3,X2),X1)),
inference(paramodulation,[status(thm)],[f1126,f1126]) ).
fof(f3995,plain,
! [X0,X1,X2,X3] : add(X0,add(X1,add(X2,X3))) = add(X0,add(X3,add(X2,X1))),
inference(forward_demodulation,[status(thm)],[f20,f3994]) ).
fof(f5377,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(inverse(add(inverse(X1),multiply(X0,X1))),X1)) = X1,
inference(paramodulation,[status(thm)],[f536,f420]) ).
fof(f5378,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X1,inverse(add(inverse(X1),multiply(X0,X1))))) = X1,
inference(forward_demodulation,[status(thm)],[f19,f5377]) ).
fof(f6386,plain,
! [X0,X1,X2] : add(X0,multiply(X1,inverse(multiply(X2,X0)))) = add(X0,X1),
inference(paramodulation,[status(thm)],[f443,f49]) ).
fof(f6885,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(add(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f3624]) ).
fof(f8331,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(add(X0,X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f39,f1164]) ).
fof(f8332,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(X0),add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3624,f8331]) ).
fof(f8480,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X1,X0),
inference(backward_demodulation,[status(thm)],[f8332,f453]) ).
fof(f8492,plain,
! [X0,X1,X2] : add(X0,add(X1,multiply(inverse(X0),X2))) = add(X1,add(X2,X0)),
inference(backward_demodulation,[status(thm)],[f8332,f3939]) ).
fof(f8583,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(add(inverse(inverse(X0)),multiply(inverse(X0),X1)),X0),
inference(paramodulation,[status(thm)],[f534,f8480]) ).
fof(f8584,plain,
! [X0,X1] : add(X0,X1) = add(add(inverse(inverse(X1)),multiply(inverse(X1),X0)),X1),
inference(forward_demodulation,[status(thm)],[f8480,f8583]) ).
fof(f8585,plain,
! [X0,X1] : add(X0,X1) = add(inverse(inverse(X1)),add(multiply(inverse(X1),X0),X1)),
inference(forward_demodulation,[status(thm)],[f20,f8584]) ).
fof(f8586,plain,
! [X0,X1] : add(X0,X1) = add(inverse(inverse(X1)),add(X1,multiply(inverse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f1126,f8585]) ).
fof(f8587,plain,
! [X0,X1] : add(X0,X1) = add(X1,add(inverse(inverse(X1)),multiply(inverse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f51,f8586]) ).
fof(f8588,plain,
! [X0,X1] : add(X0,X1) = add(inverse(inverse(X1)),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f8492,f8587]) ).
fof(f8589,plain,
! [X0,X1] : add(X0,X1) = add(X1,add(X0,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f1016,f8588]) ).
fof(f8623,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X1,X0),
inference(paramodulation,[status(thm)],[f19,f8480]) ).
fof(f8625,plain,
! [X0] : multiply(X0,add(X0,inverse(X0))) = multiply(inverse(inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f8480,f536]) ).
fof(f8626,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),X0),
inference(forward_demodulation,[status(thm)],[f62,f8625]) ).
fof(f8627,plain,
! [X0] : X0 = multiply(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f19,f8626]) ).
fof(f8842,plain,
! [X0] : add(X0,multiply(inverse(inverse(X0)),inverse(multiply(inverse(inverse(X0)),X0)))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8627,f2109]) ).
fof(f8843,plain,
! [X0] : add(X0,inverse(inverse(X0))) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f6386,f8842]) ).
fof(f8957,plain,
! [X0,X1] : add(X0,add(X1,inverse(inverse(X0)))) = add(X1,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f8843,f51]) ).
fof(f8958,plain,
! [X0,X1] : add(X0,X1) = add(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8589,f8957]) ).
fof(f8996,plain,
! [X0] : add(X0,X0) = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f8958,f8843]) ).
fof(f8997,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f91,f8996]) ).
fof(f9037,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = add(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f8997,f8480]) ).
fof(f9060,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = multiply(X0,X1),
inference(backward_demodulation,[status(thm)],[f9037,f534]) ).
fof(f9147,plain,
! [X0,X1] : add(inverse(X0),multiply(X1,X0)) = add(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f8997,f8623]) ).
fof(f9148,plain,
! [X0,X1] : multiply(add(X0,multiply(X1,inverse(inverse(X0)))),add(X1,inverse(X0))) = multiply(X1,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f8623,f543]) ).
fof(f9149,plain,
! [X0,X1] : multiply(add(X0,inverse(X1)),add(multiply(X0,inverse(inverse(X1))),X1)) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f3624,f9148]) ).
fof(f9150,plain,
! [X0,X1] : multiply(add(X0,inverse(X1)),add(X1,multiply(X0,inverse(inverse(X1))))) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f3589,f9149]) ).
fof(f9151,plain,
! [X0,X1] : multiply(add(X0,inverse(X1)),add(X1,multiply(X0,X1))) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8997,f9150]) ).
fof(f9152,plain,
! [X0,X1] : multiply(add(X0,inverse(X1)),X1) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f42,f9151]) ).
fof(f9153,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = multiply(X1,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f3624,f9152]) ).
fof(f9154,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f8997,f9153]) ).
fof(f9203,plain,
! [X0,X1,X2] : add(multiply(X0,inverse(X1)),add(X1,X2)) = add(X2,add(X0,X1)),
inference(paramodulation,[status(thm)],[f8623,f1016]) ).
fof(f9204,plain,
! [X0,X1,X2] : add(X0,add(multiply(X1,inverse(X0)),X2)) = add(X2,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f51,f9203]) ).
fof(f9270,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X1,inverse(add(X0,inverse(X1))))) = X1,
inference(backward_demodulation,[status(thm)],[f9147,f5378]) ).
fof(f10679,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X1,inverse(add(inverse(X1),X0)))) = X1,
inference(paramodulation,[status(thm)],[f18,f9270]) ).
fof(f11560,plain,
! [X0,X1,X2] : multiply(add(X0,X1),add(X0,add(multiply(X2,X1),inverse(multiply(X1,inverse(add(inverse(X1),X2))))))) = add(X0,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f10679,f485]) ).
fof(f12176,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(inverse(X0),X2))) = multiply(add(X1,X2),X0),
inference(paramodulation,[status(thm)],[f51,f9154]) ).
fof(f13120,plain,
! [X0,X1,X2] : add(X0,add(X1,inverse(X2))) = add(multiply(X2,X1),add(X0,multiply(add(X1,inverse(X2)),inverse(X2)))),
inference(paramodulation,[status(thm)],[f9060,f1315]) ).
fof(f13121,plain,
! [X0,X1,X2] : add(X0,add(X1,inverse(X2))) = add(multiply(X2,X1),add(X0,multiply(inverse(X2),add(inverse(X2),X1)))),
inference(forward_demodulation,[status(thm)],[f3624,f13120]) ).
fof(f13122,plain,
! [X0,X1,X2] : add(X0,add(X1,inverse(X2))) = add(multiply(X2,X1),add(X0,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f62,f13121]) ).
fof(f13123,plain,
! [X0,X1,X2] : add(X0,add(X1,inverse(X2))) = add(inverse(X2),add(X0,multiply(X2,X1))),
inference(forward_demodulation,[status(thm)],[f1016,f13122]) ).
fof(f16035,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X0,add(multiply(X1,add(X2,X3)),inverse(multiply(X1,inverse(add(X3,X2))))))) = add(X0,multiply(X1,add(X2,X3))),
inference(paramodulation,[status(thm)],[f3752,f485]) ).
fof(f18894,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(add(multiply(X1,inverse(X0)),inverse(multiply(inverse(X0),inverse(X1)))),X0),
inference(paramodulation,[status(thm)],[f482,f8480]) ).
fof(f18895,plain,
! [X0,X1] : add(X0,X1) = add(add(multiply(X0,inverse(X1)),inverse(multiply(inverse(X1),inverse(X0)))),X1),
inference(forward_demodulation,[status(thm)],[f8623,f18894]) ).
fof(f18896,plain,
! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),add(inverse(multiply(inverse(X1),inverse(X0))),X1)),
inference(forward_demodulation,[status(thm)],[f20,f18895]) ).
fof(f18897,plain,
! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),add(X1,inverse(multiply(inverse(X1),inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f1126,f18896]) ).
fof(f18898,plain,
! [X0,X1] : add(X0,X1) = add(X1,add(multiply(X0,inverse(X1)),inverse(multiply(inverse(X1),inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f51,f18897]) ).
fof(f18899,plain,
! [X0,X1] : add(X0,X1) = add(inverse(multiply(inverse(X1),inverse(X0))),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f9204,f18898]) ).
fof(f18900,plain,
! [X0,X1] : add(X0,X1) = add(X1,add(X0,inverse(multiply(inverse(X1),inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f1016,f18899]) ).
fof(f19082,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = multiply(add(X1,inverse(multiply(inverse(inverse(X0)),inverse(X1)))),X0),
inference(paramodulation,[status(thm)],[f18900,f9154]) ).
fof(f19083,plain,
! [X0,X1] : multiply(X0,X1) = multiply(add(X1,inverse(multiply(inverse(inverse(X0)),inverse(X1)))),X0),
inference(forward_demodulation,[status(thm)],[f9060,f19082]) ).
fof(f19084,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X1)),
inference(forward_demodulation,[status(thm)],[f3624,f19083]) ).
fof(f19085,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(X1,inverse(multiply(inverse(inverse(X0)),inverse(X1))))),
inference(forward_demodulation,[status(thm)],[f3589,f19084]) ).
fof(f19086,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(X1,inverse(multiply(X0,inverse(X1))))),
inference(forward_demodulation,[status(thm)],[f8997,f19085]) ).
fof(f19407,plain,
! [X0,X1,X2] : add(X0,add(X1,inverse(multiply(X2,inverse(X1))))) = add(multiply(X2,X1),add(X0,multiply(add(X1,inverse(multiply(X2,inverse(X1)))),inverse(X2)))),
inference(paramodulation,[status(thm)],[f19086,f1315]) ).
fof(f19408,plain,
! [X0,X1,X2] : add(X0,add(X1,inverse(multiply(X2,inverse(X1))))) = add(multiply(X2,X1),add(X0,multiply(inverse(X2),add(inverse(multiply(X2,inverse(X1))),X1)))),
inference(forward_demodulation,[status(thm)],[f3624,f19407]) ).
fof(f19409,plain,
! [X0,X1,X2] : add(X0,add(X1,inverse(multiply(X2,inverse(X1))))) = add(multiply(X2,X1),add(X0,multiply(inverse(X2),add(X1,inverse(multiply(X2,inverse(X1))))))),
inference(forward_demodulation,[status(thm)],[f3589,f19408]) ).
fof(f23599,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X1,inverse(multiply(X0,X2)))) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f1611,f78]) ).
fof(f23600,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X1,inverse(multiply(X0,X2)))) = add(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f23599]) ).
fof(f23601,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X1,inverse(multiply(X0,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f42,f23600]) ).
fof(f23602,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X0,inverse(multiply(X2,X1)))) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f1234,f78]) ).
fof(f23603,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X0,inverse(multiply(X2,X1)))) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f23602]) ).
fof(f23604,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X0,inverse(multiply(X2,X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f73,f23603]) ).
fof(f24271,plain,
! [X0,X1,X2] : add(multiply(add(X0,X1),X2),multiply(X2,inverse(X1))) = X2,
inference(paramodulation,[status(thm)],[f543,f23601]) ).
fof(f24272,plain,
! [X0,X1,X2] : add(multiply(X0,inverse(X1)),multiply(add(X2,X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f18,f24271]) ).
fof(f24808,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(add(X2,inverse(X1)),X0)) = X0,
inference(paramodulation,[status(thm)],[f8997,f24272]) ).
fof(f24838,plain,
! [X0,X1,X2] : add(multiply(multiply(X0,add(X1,inverse(X2))),inverse(X2)),multiply(X0,X1)) = multiply(X0,add(X1,inverse(X2))),
inference(paramodulation,[status(thm)],[f1165,f24272]) ).
fof(f24839,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(multiply(X0,add(X1,inverse(X2))),inverse(X2))) = multiply(X0,add(X1,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f18,f24838]) ).
fof(f24840,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X0,multiply(add(X1,inverse(X2)),inverse(X2)))) = multiply(X0,add(X1,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f21,f24839]) ).
fof(f24841,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X0,multiply(inverse(X2),add(X1,inverse(X2))))) = multiply(X0,add(X1,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1153,f24840]) ).
fof(f24842,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X0,inverse(X2))) = multiply(X0,add(X1,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f39,f24841]) ).
fof(f25260,plain,
! [X0,X1,X2] : multiply(X0,add(X1,inverse(multiply(X2,X1)))) = X0,
inference(backward_demodulation,[status(thm)],[f24842,f23604]) ).
fof(f25570,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = add(X1,inverse(multiply(X0,inverse(X1)))),
inference(paramodulation,[status(thm)],[f543,f25260]) ).
fof(f25584,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X1) = X1,
inference(paramodulation,[status(thm)],[f9154,f25260]) ).
fof(f25585,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f19,f25584]) ).
fof(f26023,plain,
! [X0,X1,X2] : add(X0,add(X1,inverse(multiply(X2,inverse(X1))))) = add(multiply(X2,X1),add(X0,multiply(inverse(X2),inverse(multiply(X2,inverse(X1)))))),
inference(backward_demodulation,[status(thm)],[f25570,f19409]) ).
fof(f26024,plain,
! [X0,X1,X2] : add(X0,inverse(multiply(X1,inverse(X2)))) = add(multiply(X1,X2),add(X0,multiply(inverse(X1),inverse(multiply(X1,inverse(X2)))))),
inference(forward_demodulation,[status(thm)],[f25570,f26023]) ).
fof(f26686,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X0),X1))) = X0,
inference(paramodulation,[status(thm)],[f19,f25585]) ).
fof(f27184,plain,
! [X0,X1] : multiply(inverse(X0),inverse(multiply(X0,X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f8997,f26686]) ).
fof(f27343,plain,
! [X0,X1,X2] : add(X0,inverse(multiply(X1,inverse(X2)))) = add(multiply(X1,X2),add(X0,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f27184,f26024]) ).
fof(f27344,plain,
! [X0,X1,X2] : add(X0,inverse(multiply(X1,inverse(X2)))) = add(inverse(X1),add(X0,multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f1016,f27343]) ).
fof(f27345,plain,
! [X0,X1,X2] : add(X0,inverse(multiply(X1,inverse(X2)))) = add(X0,add(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f13123,f27344]) ).
fof(f27752,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X0,add(multiply(X1,add(X2,X3)),add(add(X3,X2),inverse(X1))))) = add(X0,multiply(X1,add(X2,X3))),
inference(backward_demodulation,[status(thm)],[f27345,f16035]) ).
fof(f27753,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X0,add(inverse(X1),add(add(X2,X3),multiply(X1,add(X3,X2)))))) = add(X0,multiply(X1,add(X3,X2))),
inference(forward_demodulation,[status(thm)],[f3995,f27752]) ).
fof(f27754,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X0,add(add(X2,X3),add(add(X3,X2),inverse(X1))))) = add(X0,multiply(X1,add(X3,X2))),
inference(forward_demodulation,[status(thm)],[f13123,f27753]) ).
fof(f27755,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X0,add(X2,add(X3,add(add(X3,X2),inverse(X1)))))) = add(X0,multiply(X1,add(X3,X2))),
inference(forward_demodulation,[status(thm)],[f20,f27754]) ).
fof(f27756,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X0,add(X2,add(X3,add(X3,add(X2,inverse(X1))))))) = add(X0,multiply(X1,add(X3,X2))),
inference(forward_demodulation,[status(thm)],[f20,f27755]) ).
fof(f27757,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X0,add(X2,add(X2,add(X3,inverse(X1)))))) = add(X0,multiply(X1,add(X2,X3))),
inference(forward_demodulation,[status(thm)],[f2248,f27756]) ).
fof(f27758,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X0,add(X2,add(X3,inverse(X1))))) = add(X0,multiply(X1,add(X2,X3))),
inference(forward_demodulation,[status(thm)],[f100,f27757]) ).
fof(f27941,plain,
! [X0,X1,X2] : multiply(add(X0,X1),add(X0,add(multiply(X2,X1),add(add(inverse(X1),X2),inverse(X1))))) = add(X0,multiply(X2,X1)),
inference(backward_demodulation,[status(thm)],[f27345,f11560]) ).
fof(f27942,plain,
! [X0,X1,X2] : add(X0,multiply(X1,add(multiply(X2,X1),add(inverse(X1),X2)))) = add(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f27758,f27941]) ).
fof(f27943,plain,
! [X0,X1,X2] : add(X0,multiply(add(multiply(X1,X2),X1),X2)) = add(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f12176,f27942]) ).
fof(f27944,plain,
! [X0,X1,X2] : add(X0,multiply(add(X1,multiply(X1,X2)),X2)) = add(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f6885,f27943]) ).
fof(f27945,plain,
! [X0,X1,X2] : add(X0,multiply(X1,add(multiply(X2,X1),X2))) = add(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3624,f27944]) ).
fof(f27946,plain,
! [X0,X1,X2] : add(X0,multiply(X1,add(X2,multiply(X2,X1)))) = add(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3589,f27945]) ).
fof(f27947,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f73,f27946]) ).
fof(f34014,plain,
! [X0,X1,X2] : add(multiply(multiply(X0,add(X1,inverse(inverse(X2)))),X2),multiply(X0,X1)) = multiply(X0,add(X1,inverse(inverse(X2)))),
inference(paramodulation,[status(thm)],[f1165,f24808]) ).
fof(f34015,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(multiply(X0,add(X1,inverse(inverse(X2)))),X2)) = multiply(X0,add(X1,inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f18,f34014]) ).
fof(f34016,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X2,multiply(X0,add(X1,inverse(inverse(X2)))))) = multiply(X0,add(X1,inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f27947,f34015]) ).
fof(f34017,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X2,multiply(X0,add(X1,X2)))) = multiply(X0,add(X1,inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f8997,f34016]) ).
fof(f34018,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,add(X1,inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f139,f34017]) ).
fof(f34019,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,add(X1,X2)),
inference(forward_demodulation,[status(thm)],[f8997,f34018]) ).
fof(f44944,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(paramodulation,[status(thm)],[f27947,f34019]) ).
fof(f45483,plain,
multiply(a,add(b,c)) != multiply(a,add(b,c)),
inference(backward_demodulation,[status(thm)],[f44944,f24]) ).
fof(f45484,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f45483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO028-1 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n027.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 May 30 11:02:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 36.55/5.04 % Refutation found
% 36.55/5.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 36.55/5.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 38.04/5.16 % Elapsed time: 4.808584 seconds
% 38.04/5.16 % CPU time: 37.806092 seconds
% 38.04/5.16 % Memory used: 264.771 MB
%------------------------------------------------------------------------------