TSTP Solution File: BOO022-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO022-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 Apr 30 20:12:58 EDT 2024
% Result : Unsatisfiable 7.42s 1.28s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of formulae : 125 ( 125 unt; 0 def)
% Number of atoms : 125 ( 124 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 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 : 374 ( 374 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : multiply(add(X,Y),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : add(multiply(X,Y),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(Y,X),add(Z,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : multiply(X,inverse(X)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = X1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X2,X0)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0] : multiply(X0,inverse(X0)) = n0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
! [X0] : add(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f18,plain,
! [X0] : multiply(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(multiply(X0,add(X1,X2)),multiply(X2,X0)) = multiply(X2,X0),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f25,plain,
! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f26,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f16,f25]) ).
fof(f30,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X1,X0),X0),
inference(paramodulation,[status(thm)],[f18,f9]) ).
fof(f31,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f11,f30]) ).
fof(f45,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f26,f9]) ).
fof(f46,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f26,f9]) ).
fof(f47,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = X0,
inference(paramodulation,[status(thm)],[f26,f11]) ).
fof(f56,plain,
! [X0] : add(n0,X0) = X0,
inference(paramodulation,[status(thm)],[f13,f47]) ).
fof(f138,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X2,X0),add(X1,X0)),
inference(paramodulation,[status(thm)],[f26,f12]) ).
fof(f139,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f12,f138]) ).
fof(f142,plain,
! [X0,X1] : add(X0,multiply(X1,X1)) = add(X1,X0),
inference(paramodulation,[status(thm)],[f18,f12]) ).
fof(f143,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(forward_demodulation,[status(thm)],[f18,f142]) ).
fof(f148,plain,
! [X0,X1,X2,X3] : add(multiply(X0,X1),multiply(multiply(X2,X1),X3)) = multiply(multiply(X1,add(X2,X0)),add(X3,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f149,plain,
! [X0,X1,X2,X3] : add(multiply(X0,X1),multiply(multiply(X2,X1),X3)) = multiply(add(X3,multiply(X0,X1)),multiply(X1,add(X2,X0))),
inference(forward_demodulation,[status(thm)],[f26,f148]) ).
fof(f152,plain,
! [X0,X1,X2] : add(X0,multiply(multiply(X1,X0),X2)) = multiply(X0,add(X2,X0)),
inference(paramodulation,[status(thm)],[f11,f12]) ).
fof(f153,plain,
! [X0,X1,X2] : add(X0,multiply(multiply(X1,X0),X2)) = X0,
inference(forward_demodulation,[status(thm)],[f31,f152]) ).
fof(f158,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f159,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f31,f158]) ).
fof(f162,plain,
! [X0,X1] : add(X0,multiply(X1,n0)) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f56,f12]) ).
fof(f163,plain,
! [X0,X1] : add(X0,multiply(X1,n0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f162]) ).
fof(f173,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f174,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f173]) ).
fof(f186,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X2,add(X3,X1))) = add(multiply(X2,add(X0,X1)),add(X1,multiply(X3,X0))),
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f187,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X2,add(X3,X1))) = add(add(X1,multiply(X3,X0)),multiply(X2,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f143,f186]) ).
fof(f190,plain,
! [X0,X1,X2] : add(add(X0,multiply(X1,X2)),add(X2,X0)) = add(X2,X0),
inference(paramodulation,[status(thm)],[f12,f11]) ).
fof(f226,plain,
! [X0] : multiply(X0,n0) = n0,
inference(paramodulation,[status(thm)],[f56,f174]) ).
fof(f247,plain,
! [X0] : add(X0,n0) = X0,
inference(backward_demodulation,[status(thm)],[f226,f163]) ).
fof(f270,plain,
! [X0] : n0 = multiply(n0,X0),
inference(paramodulation,[status(thm)],[f47,f247]) ).
fof(f391,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),add(X2,multiply(X1,X0))) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f139,f31]) ).
fof(f392,plain,
! [X0,X1,X2] : multiply(add(X0,multiply(X1,X2)),multiply(X2,X1)) = multiply(X2,X1),
inference(forward_demodulation,[status(thm)],[f26,f391]) ).
fof(f454,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X1,X0),n0),
inference(paramodulation,[status(thm)],[f13,f45]) ).
fof(f455,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f247,f454]) ).
fof(f574,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(inverse(X0),X0),
inference(paramodulation,[status(thm)],[f16,f455]) ).
fof(f575,plain,
! [X0] : n0 = multiply(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f13,f574]) ).
fof(f631,plain,
! [X0,X1,X2] : multiply(add(X0,multiply(X1,X2)),multiply(X0,add(X1,X0))) = multiply(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f12,f24]) ).
fof(f632,plain,
! [X0,X1,X2] : multiply(add(X0,multiply(X1,X2)),X0) = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f31,f631]) ).
fof(f633,plain,
! [X0,X1,X2] : multiply(add(X0,multiply(X1,X2)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f31,f632]) ).
fof(f641,plain,
! [X0,X1,X2] : multiply(multiply(add(X0,X1),X2),multiply(X1,X2)) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f26,f24]) ).
fof(f703,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,add(X1,X2)),add(X3,multiply(X2,X0))) = add(multiply(X3,multiply(X0,add(X1,X2))),multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f24,f45]) ).
fof(f704,plain,
! [X0,X1,X2,X3] : multiply(add(X0,multiply(X1,X2)),multiply(X2,add(X3,X1))) = add(multiply(X0,multiply(X2,add(X3,X1))),multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f26,f703]) ).
fof(f705,plain,
! [X0,X1,X2,X3] : add(multiply(X0,X1),multiply(multiply(X2,X1),X3)) = add(multiply(X3,multiply(X1,add(X2,X0))),multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f149,f704]) ).
fof(f804,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(multiply(X2,X1),X0)) = multiply(X0,multiply(X1,add(X2,X0))),
inference(paramodulation,[status(thm)],[f159,f149]) ).
fof(f805,plain,
! [X0,X1,X2] : multiply(X0,add(X1,multiply(X2,X1))) = multiply(X0,multiply(X1,add(X2,X0))),
inference(forward_demodulation,[status(thm)],[f46,f804]) ).
fof(f806,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X0,multiply(X1,add(X2,X0))),
inference(forward_demodulation,[status(thm)],[f174,f805]) ).
fof(f929,plain,
! [X0,X1,X2,X3] : add(multiply(X0,X1),multiply(multiply(X2,X1),X3)) = multiply(add(X3,multiply(X0,X1)),multiply(add(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f26,f149]) ).
fof(f962,plain,
! [X0,X1,X2,X3] : add(multiply(multiply(X0,X1),X2),multiply(multiply(X1,X2),X3)) = multiply(add(X3,multiply(multiply(X0,X1),X2)),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f174,f149]) ).
fof(f1050,plain,
! [X0,X1,X2] : multiply(multiply(X0,add(X1,X2)),multiply(X1,X0)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f45,f633]) ).
fof(f1202,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X1),multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f159,f806]) ).
fof(f1203,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X1),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f174,f806]) ).
fof(f1227,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,add(X1,X2)),add(X3,X2)) = add(multiply(X3,multiply(X0,add(X1,X2))),multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f806,f9]) ).
fof(f1228,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),multiply(X2,add(X3,X1))) = add(multiply(X0,multiply(X2,add(X3,X1))),multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f26,f1227]) ).
fof(f1229,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),multiply(X2,add(X3,X1))) = add(multiply(X1,X2),multiply(multiply(X3,X2),X0)),
inference(forward_demodulation,[status(thm)],[f705,f1228]) ).
fof(f1234,plain,
! [X0,X1,X2] : multiply(multiply(X0,add(X1,X2)),X2) = multiply(X2,X0),
inference(backward_demodulation,[status(thm)],[f1202,f24]) ).
fof(f1238,plain,
! [X0,X1,X2] : multiply(multiply(X0,add(X1,X2)),X1) = multiply(X1,X0),
inference(backward_demodulation,[status(thm)],[f1202,f1050]) ).
fof(f1243,plain,
! [X0,X1,X2] : multiply(multiply(add(X0,X1),X2),X1) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f1203,f641]) ).
fof(f1255,plain,
! [X0,X1,X2,X3] : multiply(multiply(add(X0,X1),X2),X1) = multiply(X1,multiply(X2,add(X3,add(X0,X1)))),
inference(paramodulation,[status(thm)],[f1234,f1234]) ).
fof(f1256,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = multiply(X0,multiply(X1,add(X2,add(X3,X0)))),
inference(forward_demodulation,[status(thm)],[f1243,f1255]) ).
fof(f1302,plain,
! [X0,X1,X2,X3,X4] : add(multiply(X0,multiply(X1,add(X2,add(X3,X0)))),multiply(multiply(X3,multiply(X1,add(X2,add(X3,X0)))),X4)) = multiply(add(X4,multiply(X0,multiply(X1,add(X2,add(X3,X0))))),multiply(add(X3,X0),X1)),
inference(paramodulation,[status(thm)],[f1234,f149]) ).
fof(f1303,plain,
! [X0,X1,X2,X3,X4] : multiply(add(X0,X1),multiply(multiply(X2,add(X3,add(X4,X1))),add(X4,X1))) = multiply(add(X0,multiply(X1,multiply(X2,add(X3,add(X4,X1))))),multiply(add(X4,X1),X2)),
inference(forward_demodulation,[status(thm)],[f1229,f1302]) ).
fof(f1304,plain,
! [X0,X1,X2,X3,X4] : multiply(add(X0,X1),multiply(add(X2,X1),X3)) = multiply(add(X0,multiply(X1,multiply(X3,add(X4,add(X2,X1))))),multiply(add(X2,X1),X3)),
inference(forward_demodulation,[status(thm)],[f1234,f1303]) ).
fof(f1305,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),multiply(add(X2,X1),X3)) = multiply(add(X0,multiply(X1,X3)),multiply(add(X2,X1),X3)),
inference(forward_demodulation,[status(thm)],[f1256,f1304]) ).
fof(f1306,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),multiply(add(X2,X1),X3)) = add(multiply(X1,X3),multiply(multiply(X2,X3),X0)),
inference(forward_demodulation,[status(thm)],[f929,f1305]) ).
fof(f1488,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,add(X0,X2))) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f26,f1238]) ).
fof(f1492,plain,
! [X0,X1] : multiply(n0,X0) = multiply(X0,inverse(add(X0,X1))),
inference(paramodulation,[status(thm)],[f575,f1238]) ).
fof(f1493,plain,
! [X0,X1] : n0 = multiply(X0,inverse(add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f270,f1492]) ).
fof(f1601,plain,
! [X0,X1,X2] : multiply(X0,add(X1,inverse(add(X0,X2)))) = add(multiply(X1,X0),n0),
inference(paramodulation,[status(thm)],[f1493,f45]) ).
fof(f1602,plain,
! [X0,X1,X2] : multiply(X0,add(X1,inverse(add(X0,X2)))) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f247,f1601]) ).
fof(f1640,plain,
! [X0,X1,X2] : multiply(X0,multiply(add(X0,X1),X2)) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f26,f1488]) ).
fof(f2290,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),add(X2,add(multiply(X3,X1),X1))) = add(X1,multiply(X2,add(X0,X1))),
inference(paramodulation,[status(thm)],[f153,f187]) ).
fof(f2291,plain,
! [X0,X1,X2] : multiply(add(X0,X1),add(X2,X1)) = add(X1,multiply(X2,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f2290]) ).
fof(f2292,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(X0,multiply(X2,add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f12,f2291]) ).
fof(f2873,plain,
! [X0,X1] : multiply(X0,inverse(add(X0,X1))) = multiply(inverse(add(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f16,f1602]) ).
fof(f2874,plain,
! [X0,X1] : n0 = multiply(inverse(add(X0,X1)),X0),
inference(forward_demodulation,[status(thm)],[f1493,f2873]) ).
fof(f2920,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(add(X1,X2))) = multiply(inverse(add(X1,X2)),X1),
inference(paramodulation,[status(thm)],[f1602,f1234]) ).
fof(f2921,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(add(X1,X2))) = n0,
inference(forward_demodulation,[status(thm)],[f2874,f2920]) ).
fof(f3335,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(add(X0,X2))) = n0,
inference(paramodulation,[status(thm)],[f1238,f2921]) ).
fof(f3413,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),add(X2,inverse(add(X1,X3)))) = add(multiply(X2,multiply(X0,X1)),n0),
inference(paramodulation,[status(thm)],[f2921,f45]) ).
fof(f3414,plain,
! [X0,X1,X2,X3] : multiply(add(X0,inverse(add(X1,X2))),multiply(X3,X1)) = add(multiply(X0,multiply(X3,X1)),n0),
inference(forward_demodulation,[status(thm)],[f26,f3413]) ).
fof(f3415,plain,
! [X0,X1,X2,X3] : multiply(add(X0,inverse(add(X1,X2))),multiply(X3,X1)) = multiply(X0,multiply(X3,X1)),
inference(forward_demodulation,[status(thm)],[f247,f3414]) ).
fof(f3782,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),add(X2,inverse(add(X0,X3)))) = add(multiply(X2,multiply(X0,X1)),n0),
inference(paramodulation,[status(thm)],[f3335,f45]) ).
fof(f3783,plain,
! [X0,X1,X2,X3] : multiply(add(X0,inverse(add(X1,X2))),multiply(X1,X3)) = add(multiply(X0,multiply(X1,X3)),n0),
inference(forward_demodulation,[status(thm)],[f26,f3782]) ).
fof(f3784,plain,
! [X0,X1,X2,X3] : multiply(add(X0,inverse(add(X1,X2))),multiply(X1,X3)) = multiply(X0,multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f247,f3783]) ).
fof(f3951,plain,
! [X0,X1,X2,X3] : multiply(add(X0,multiply(X1,X2)),multiply(add(X1,inverse(add(X2,X3))),X2)) = multiply(add(X1,inverse(add(X2,X3))),X2),
inference(paramodulation,[status(thm)],[f1602,f392]) ).
fof(f4677,plain,
! [X0,X1,X2,X3] : multiply(add(X0,multiply(X1,X2)),multiply(add(X2,X0),X3)) = multiply(add(X0,multiply(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f190,f1640]) ).
fof(f7475,plain,
! [X0,X1,X2,X3] : multiply(multiply(add(X0,X1),X2),add(X3,X1)) = multiply(multiply(add(X0,X1),X2),add(X1,multiply(X3,X0))),
inference(paramodulation,[status(thm)],[f12,f1202]) ).
fof(f7476,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),multiply(add(X2,X1),X3)) = multiply(multiply(add(X2,X1),X3),add(X1,multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f26,f7475]) ).
fof(f7477,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),multiply(add(X2,X1),X3)) = multiply(add(X1,multiply(X0,X2)),multiply(add(X2,X1),X3)),
inference(forward_demodulation,[status(thm)],[f26,f7476]) ).
fof(f7478,plain,
! [X0,X1,X2,X3] : multiply(add(X0,X1),multiply(add(X2,X1),X3)) = multiply(add(X1,multiply(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f4677,f7477]) ).
fof(f7570,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),add(X2,multiply(X3,X0))) = add(multiply(X2,multiply(X0,X1)),multiply(multiply(X0,X1),X3)),
inference(paramodulation,[status(thm)],[f1202,f45]) ).
fof(f7571,plain,
! [X0,X1,X2,X3] : multiply(add(X0,multiply(X1,X2)),multiply(X2,X3)) = add(multiply(X0,multiply(X2,X3)),multiply(multiply(X2,X3),X1)),
inference(forward_demodulation,[status(thm)],[f26,f7570]) ).
fof(f7572,plain,
! [X0,X1,X2,X3] : multiply(add(X0,multiply(X1,X2)),multiply(X2,X3)) = multiply(multiply(X2,X3),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f45,f7571]) ).
fof(f7573,plain,
! [X0,X1,X2,X3] : multiply(add(X0,multiply(X1,X2)),multiply(X2,X3)) = multiply(add(X0,X1),multiply(X2,X3)),
inference(forward_demodulation,[status(thm)],[f26,f7572]) ).
fof(f7612,plain,
! [X0,X1,X2,X3] : multiply(add(X0,multiply(X1,X2)),X3) = add(multiply(X0,X3),multiply(multiply(X2,X3),X1)),
inference(backward_demodulation,[status(thm)],[f7478,f1306]) ).
fof(f7618,plain,
! [X0,X1,X2,X3] : add(multiply(X0,X1),multiply(multiply(X2,X1),X3)) = multiply(add(X3,X0),multiply(X1,add(X2,X0))),
inference(backward_demodulation,[status(thm)],[f7573,f149]) ).
fof(f7619,plain,
! [X0,X1,X2,X3] : multiply(add(X0,multiply(X1,X2)),X3) = multiply(add(X1,X0),multiply(X3,add(X2,X0))),
inference(forward_demodulation,[status(thm)],[f7612,f7618]) ).
fof(f7633,plain,
! [X0,X1,X2,X3] : add(multiply(multiply(X0,X1),X2),multiply(multiply(X1,X2),X3)) = multiply(add(X3,multiply(X0,X1)),multiply(X2,X1)),
inference(backward_demodulation,[status(thm)],[f7573,f962]) ).
fof(f7634,plain,
! [X0,X1,X2,X3] : multiply(add(multiply(X0,X1),multiply(X2,X1)),X3) = multiply(add(X2,multiply(X0,X1)),multiply(X3,X1)),
inference(forward_demodulation,[status(thm)],[f7612,f7633]) ).
fof(f7635,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,add(X1,X2)),X3) = multiply(add(X2,multiply(X1,X0)),multiply(X3,X0)),
inference(forward_demodulation,[status(thm)],[f9,f7634]) ).
fof(f7728,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,add(X1,X2)),add(X1,inverse(add(X0,X3)))) = multiply(add(X1,inverse(add(X0,X3))),X0),
inference(backward_demodulation,[status(thm)],[f7635,f3951]) ).
fof(f7729,plain,
! [X0,X1,X2,X3] : multiply(add(X0,inverse(add(X1,X2))),multiply(X1,add(X0,X3))) = multiply(add(X0,inverse(add(X1,X2))),X1),
inference(forward_demodulation,[status(thm)],[f26,f7728]) ).
fof(f7730,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,add(X0,X2))) = multiply(add(X0,inverse(add(X1,X3))),X1),
inference(forward_demodulation,[status(thm)],[f3784,f7729]) ).
fof(f7731,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(add(X0,inverse(add(X1,X2))),X1),
inference(forward_demodulation,[status(thm)],[f1488,f7730]) ).
fof(f7915,plain,
! [X0,X1,X2] : multiply(add(X0,multiply(X1,add(X1,X0))),X2) = multiply(add(X1,X0),X2),
inference(paramodulation,[status(thm)],[f1488,f7619]) ).
fof(f7916,plain,
! [X0,X1,X2] : multiply(add(X0,multiply(X1,X1)),X2) = multiply(add(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f2292,f7915]) ).
fof(f7917,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(add(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f18,f7916]) ).
fof(f8009,plain,
! [X0,X1,X2,X3] : multiply(add(inverse(add(X0,X1)),multiply(X2,X3)),X0) = multiply(add(X2,inverse(add(X0,X1))),multiply(X3,X0)),
inference(paramodulation,[status(thm)],[f1602,f7619]) ).
fof(f8010,plain,
! [X0,X1,X2,X3] : multiply(add(multiply(X0,X1),inverse(add(X2,X3))),X2) = multiply(add(X0,inverse(add(X2,X3))),multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f7917,f8009]) ).
fof(f8011,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(add(X0,inverse(add(X2,X3))),multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f7731,f8010]) ).
fof(f8012,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f3415,f8011]) ).
fof(f8013,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f14,f8012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : BOO022-1 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n011.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 22:40:01 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 7.42/1.28 % Refutation found
% 7.42/1.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.42/1.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.78/1.33 % Elapsed time: 1.013867 seconds
% 7.78/1.33 % CPU time: 7.894511 seconds
% 7.78/1.33 % Total memory used: 109.602 MB
% 7.78/1.33 % Net memory used: 106.190 MB
%------------------------------------------------------------------------------