TSTP Solution File: ALG240-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG240-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:11:11 EDT 2024
% Result : Unsatisfiable 7.53s 1.26s
% Output : CNFRefutation 7.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 81 ( 81 unt; 0 def)
% Number of atoms : 81 ( 80 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 284 ( 284 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : mult(A,mult(B,C)) = mult(mult(A,B),mult(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,C),mult(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D] : mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) = mult(mult(A,C),mult(B,D)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C,D] : mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) = mult(mult(A,B),mult(C,D)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,X2)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(X0,X1),mult(X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : mult(mult(X0,X1),mult(mult(X0,X2),X3)) = mult(mult(X0,mult(X1,X2)),mult(mult(X0,X1),X3)),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f13,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X1,X1)),
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),X2),mult(X3,X1)) = mult(mult(mult(X0,X3),X1),mult(X2,mult(X3,X1))),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),X2),mult(X0,X3)) = mult(mult(X0,mult(X1,X3)),mult(X2,mult(X0,X3))),
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X1,X2)),mult(X3,X2)) = mult(mult(X0,mult(X3,X2)),mult(mult(X1,X3),X2)),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f21,plain,
! [X0,X1] : mult(mult(mult(X0,X0),mult(X0,X0)),X1) = mult(X0,mult(mult(X1,X1),mult(X1,X1))),
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f22,plain,
! [X0,X1] : mult(mult(mult(X0,X0),X0),X1) = mult(X0,mult(mult(X1,X1),mult(X1,X1))),
inference(forward_demodulation,[status(thm)],[f7,f21]) ).
fof(f23,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X0)),X1) = mult(X0,mult(mult(X1,X1),mult(X1,X1))),
inference(forward_demodulation,[status(thm)],[f13,f22]) ).
fof(f24,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X0)),X1) = mult(X0,mult(mult(X1,X1),X1)),
inference(forward_demodulation,[status(thm)],[f7,f23]) ).
fof(f25,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X0)),X1) = mult(X0,mult(X1,mult(X1,X1))),
inference(forward_demodulation,[status(thm)],[f13,f24]) ).
fof(f34,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,X2)) = mult(X0,mult(X1,mult(X2,X2))),
inference(paramodulation,[status(thm)],[f6,f13]) ).
fof(f119,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),mult(mult(mult(X0,X2),mult(X1,X2)),mult(mult(X0,X1),mult(X2,X2)))) = mult(mult(X0,X1),mult(X2,X2)),
inference(paramodulation,[status(thm)],[f7,f8]) ).
fof(f120,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),mult(mult(mult(X0,X1),X2),mult(mult(X0,X1),mult(X2,X2)))) = mult(mult(X0,X1),mult(X2,X2)),
inference(forward_demodulation,[status(thm)],[f7,f119]) ).
fof(f121,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),mult(mult(X0,X1),mult(X2,mult(X2,X2)))) = mult(mult(X0,X1),mult(X2,X2)),
inference(forward_demodulation,[status(thm)],[f6,f120]) ).
fof(f122,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,mult(X2,mult(X2,X2)))) = mult(mult(X0,X1),mult(X2,X2)),
inference(forward_demodulation,[status(thm)],[f6,f121]) ).
fof(f123,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X2)),mult(mult(mult(X0,X1),mult(X0,X2)),mult(mult(X0,X0),mult(X1,X2)))) = mult(mult(X0,X0),mult(X1,X2)),
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f124,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X2)),mult(mult(X0,mult(X1,X2)),mult(mult(X0,X0),mult(X1,X2)))) = mult(mult(X0,X0),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f6,f123]) ).
fof(f125,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X2)),mult(mult(X0,mult(X0,X0)),mult(X1,X2))) = mult(mult(X0,X0),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f7,f124]) ).
fof(f126,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X0,mult(X0,X0))),mult(X1,X2)) = mult(mult(X0,X0),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f7,f125]) ).
fof(f231,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),mult(X2,X2)),mult(mult(mult(X0,X1),mult(X2,X2)),mult(mult(X0,X1),X2))) = mult(mult(X0,X2),mult(X1,X2)),
inference(paramodulation,[status(thm)],[f7,f8]) ).
fof(f232,plain,
! [X0,X1,X2] : mult(mult(mult(mult(X0,X1),X2),mult(mult(X0,X1),mult(X2,X2))),mult(mult(X0,X1),X2)) = mult(mult(X0,X2),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f15,f231]) ).
fof(f233,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),mult(X2,mult(X2,X2))),mult(mult(X0,X1),X2)) = mult(mult(X0,X2),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f6,f232]) ).
fof(f234,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(mult(X2,mult(X2,X2)),X2)) = mult(mult(X0,X2),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f6,f233]) ).
fof(f235,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,mult(X2,mult(X2,X2)))) = mult(mult(X0,X2),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f25,f234]) ).
fof(f236,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f122,f235]) ).
fof(f237,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f7,f236]) ).
fof(f238,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X0),mult(X1,X2)),mult(mult(mult(X0,X0),mult(X1,X2)),mult(X0,mult(X1,X2)))) = mult(mult(X0,X1),mult(X0,X2)),
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f239,plain,
! [X0,X1,X2] : mult(mult(mult(X0,mult(X1,X2)),mult(mult(X0,X0),mult(X1,X2))),mult(X0,mult(X1,X2))) = mult(mult(X0,X1),mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f14,f238]) ).
fof(f240,plain,
! [X0,X1,X2] : mult(mult(mult(X0,mult(X0,X0)),mult(X1,X2)),mult(X0,mult(X1,X2))) = mult(mult(X0,X1),mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f7,f239]) ).
fof(f241,plain,
! [X0,X1,X2] : mult(mult(mult(X0,mult(X0,X0)),X0),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f7,f240]) ).
fof(f242,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X0,mult(X0,X0))),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f25,f241]) ).
fof(f243,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f126,f242]) ).
fof(f244,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,X2)) = mult(X0,mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f6,f243]) ).
fof(f288,plain,
! [X0,X1,X2,X3,X4] : mult(mult(X0,mult(mult(X1,X2),mult(X3,X4))),mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4)))) = mult(mult(X0,mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4)))),mult(mult(X1,X3),mult(X2,X4))),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f289,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),X4),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(X4,mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f290,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(X4,mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(X4,mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(forward_demodulation,[status(thm)],[f6,f289]) ).
fof(f292,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4)) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),X4)),
inference(paramodulation,[status(thm)],[f8,f6]) ).
fof(f313,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(X0,mult(X1,mult(X2,X2))),
inference(backward_demodulation,[status(thm)],[f244,f34]) ).
fof(f546,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f6,f237]) ).
fof(f705,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),X0) = mult(mult(X0,mult(X1,X0)),mult(X2,X0)),
inference(paramodulation,[status(thm)],[f546,f7]) ).
fof(f2782,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(X4,mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f2783,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(X4,mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(forward_demodulation,[status(thm)],[f237,f2782]) ).
fof(f2784,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(X4,mult(mult(X0,X2),mult(X1,X3)))),
inference(forward_demodulation,[status(thm)],[f313,f2783]) ).
fof(f2848,plain,
! [X0,X1,X2,X3,X4] : mult(mult(X0,mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4)))),mult(mult(X1,X3),mult(X2,X4))) = mult(mult(X0,mult(mult(X1,X3),mult(X2,X4))),mult(mult(X1,X2),mult(X3,X4))),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f2849,plain,
! [X0,X1,X2,X3,X4] : mult(mult(X0,mult(mult(X1,X2),mult(X3,X4))),mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4)))) = mult(mult(X0,mult(mult(X1,X3),mult(X2,X4))),mult(mult(X1,X2),mult(X3,X4))),
inference(forward_demodulation,[status(thm)],[f288,f2848]) ).
fof(f2851,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(X4,mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),mult(mult(X0,X1),mult(X2,X3))),
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f2852,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),X4),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),mult(mult(X0,X1),mult(X2,X3))),
inference(forward_demodulation,[status(thm)],[f7,f2851]) ).
fof(f2853,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),X4)) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4)),
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f2854,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),X4)) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),X4)),
inference(forward_demodulation,[status(thm)],[f292,f2853]) ).
fof(f3026,plain,
! [X0,X1,X2,X3,X4,X5] : mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),X5)) = mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),X4)),mult(mult(mult(X0,X1),mult(X2,X3)),X5)),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f3027,plain,
! [X0,X1,X2,X3,X4,X5] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),X5)) = mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),X4)),mult(mult(mult(X0,X1),mult(X2,X3)),X5)),
inference(forward_demodulation,[status(thm)],[f9,f3026]) ).
fof(f3028,plain,
! [X0,X1,X2,X3,X4,X5] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),X5)) = mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),X4)),mult(mult(mult(X0,X1),mult(X2,X3)),X5)),
inference(forward_demodulation,[status(thm)],[f2854,f3027]) ).
fof(f3981,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),mult(X0,X2)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f6,f16]) ).
fof(f3982,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X2)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f6,f3981]) ).
fof(f4321,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(X0,X2)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(X1,X3))) = mult(mult(X0,X1),mult(X2,X3)),
inference(backward_demodulation,[status(thm)],[f3982,f9]) ).
fof(f4322,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(X0,X2)),mult(mult(mult(X0,X2),X1),mult(mult(X1,X3),X3))) = mult(mult(X0,X1),mult(X2,X3)),
inference(forward_demodulation,[status(thm)],[f3982,f4321]) ).
fof(f4963,plain,
! [X0,X1] : mult(mult(mult(X0,X1),X1),X0) = mult(mult(X0,X1),mult(mult(X1,X0),X0)),
inference(paramodulation,[status(thm)],[f705,f3982]) ).
fof(f5743,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3))),mult(mult(X0,X1),mult(X2,X3))),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(paramodulation,[status(thm)],[f8,f4963]) ).
fof(f5744,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3))),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3))) = mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(forward_demodulation,[status(thm)],[f2849,f5743]) ).
fof(f5745,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),mult(mult(X0,X1),mult(X2,X3))) = mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(forward_demodulation,[status(thm)],[f2784,f5744]) ).
fof(f5746,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(forward_demodulation,[status(thm)],[f546,f5745]) ).
fof(f5747,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))))),
inference(forward_demodulation,[status(thm)],[f292,f5746]) ).
fof(f5748,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))))),
inference(forward_demodulation,[status(thm)],[f237,f5747]) ).
fof(f5749,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))))),
inference(forward_demodulation,[status(thm)],[f546,f5748]) ).
fof(f5750,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))))),
inference(forward_demodulation,[status(thm)],[f3028,f5749]) ).
fof(f5751,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f290,f5750]) ).
fof(f5752,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3)))),
inference(forward_demodulation,[status(thm)],[f2852,f5751]) ).
fof(f5753,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(X0,X2)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(X1,X3)))),
inference(forward_demodulation,[status(thm)],[f3982,f5752]) ).
fof(f5754,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(X0,X2)),mult(mult(mult(X0,X2),X1),mult(mult(X1,X3),X3)))),
inference(forward_demodulation,[status(thm)],[f3982,f5753]) ).
fof(f5755,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))),
inference(forward_demodulation,[status(thm)],[f4322,f5754]) ).
fof(f5756,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f5755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : ALG240-1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 29 23:41:50 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.29 % Drodi V3.6.0
% 7.53/1.26 % Refutation found
% 7.53/1.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.53/1.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.53/1.29 % Elapsed time: 0.993795 seconds
% 7.53/1.29 % CPU time: 7.738911 seconds
% 7.53/1.29 % Total memory used: 106.598 MB
% 7.53/1.29 % Net memory used: 103.536 MB
%------------------------------------------------------------------------------