%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG245-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:49:06 AM UTC 2026
% Result : Unsatisfiable 5.81s 1.24s
% Output : CNFRefutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 6
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 265 ( 265 !; 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,axiom,
! [A] : mult(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,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(f7,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,X2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,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(thm)],[f3]) ).
fof(f10,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(thm)],[f4]) ).
fof(f11,plain,
! [X0] : mult(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,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(thm)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : mult(mult(X0,X1),mult(X2,mult(X0,X3))) = mult(mult(mult(X0,X1),X2),mult(X0,mult(X1,X3))),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f28,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f11,f7]) ).
fof(f47,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)],[f8,f8]) ).
fof(f49,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),X0) = mult(mult(X0,mult(X1,X0)),mult(X2,X0)),
inference(paramodulation,[status(thm)],[f28,f8]) ).
fof(f53,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X2)),X1) = mult(mult(X0,X1),mult(X1,mult(X2,X1))),
inference(paramodulation,[status(thm)],[f28,f8]) ).
fof(f117,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)],[f9,f8]) ).
fof(f118,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)],[f9,f8]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(X4,mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))) = mult(mult(mult(mult(X0,X1),mult(X2,X3)),X4),mult(mult(X0,X2),mult(X1,X3))),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f121,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)],[f9,f7]) ).
fof(f271,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)],[f7,f118]) ).
fof(f285,plain,
! [X0,X1,X2,X3,X4] : mult(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))),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(X4,mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))),mult(mult(X0,X2),mult(X1,X3))),
inference(paramodulation,[status(thm)],[f9,f49]) ).
fof(f652,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)],[f10,f47]) ).
fof(f667,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)],[f10,f8]) ).
fof(f669,plain,
! [X0,X1,X2,X3] : mult(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(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),
inference(paramodulation,[status(thm)],[f10,f28]) ).
fof(f910,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(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)],[f8,f652]) ).
fof(f911,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,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)],[f8,f910]) ).
fof(f912,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)],[f11,f911]) ).
fof(f913,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(X0,X2)),mult(X1,X3)))),
inference(forward_demodulation,[status(thm)],[f8,f912]) ).
fof(f914,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,X0),X2),mult(X1,X3)))),
inference(forward_demodulation,[status(thm)],[f8,f913]) ).
fof(f915,plain,
! [X0,X1,X2,X3,X4] : mult(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))),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(X4,mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),mult(mult(X0,X2),mult(X1,X3)))),
inference(backward_demodulation,[status(thm)],[f917,f285]) ).
fof(f917,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)],[f11,f914]) ).
fof(f936,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)],[f117,f667]) ).
fof(f937,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),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,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),
inference(forward_demodulation,[status(thm)],[f53,f669]) ).
fof(f938,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),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)],[f9,f937]) ).
fof(f941,plain,
! [X0,X1,X2,X3,X4] : mult(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(X0,X1),mult(X2,X3))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X4,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)],[f936,f915]) ).
fof(f942,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(X4,mult(mult(X0,X2),mult(X1,X3)))),mult(mult(X0,X1),mult(X2,X3))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X4,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)],[f917,f941]) ).
fof(f943,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X4,mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X4,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)],[f28,f942]) ).
fof(f944,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X4,mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X4,mult(mult(X0,X1),mult(X2,X3))),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))),
inference(forward_demodulation,[status(thm)],[f117,f943]) ).
fof(f945,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
inference(backward_demodulation,[status(thm)],[f946,f938]) ).
fof(f946,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X4,mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(X4,mult(mult(X0,X1),mult(X2,X3)))),mult(mult(X0,X2),mult(X1,X3))),
inference(forward_demodulation,[status(thm)],[f120,f944]) ).
fof(f951,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X2),mult(X0,X2)),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
inference(forward_demodulation,[status(thm)],[f8,f945]) ).
fof(f952,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X0),X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
inference(forward_demodulation,[status(thm)],[f8,f951]) ).
fof(f955,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
inference(forward_demodulation,[status(thm)],[f11,f952]) ).
fof(f1178,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(mult(X1,X2),mult(X0,X2))) = mult(mult(mult(X0,X1),X0),mult(X1,X2)),
inference(paramodulation,[status(thm)],[f8,f25]) ).
fof(f1274,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(mult(X1,X0),X2)) = mult(mult(mult(X0,X1),X0),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f8,f1178]) ).
fof(f1275,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(mult(X1,X0),X2)) = mult(mult(X0,mult(X1,X0)),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f28,f1274]) ).
fof(f1384,plain,
! [X0,X1] : mult(mult(X0,X1),mult(mult(X1,X0),X0)) = mult(mult(mult(X0,X1),X1),X0),
inference(paramodulation,[status(thm)],[f49,f1275]) ).
fof(f1394,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3)))),mult(mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))),mult(mult(X0,X1),mult(X2,X3))),X4)) = mult(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(X0,X1),mult(X2,X3))),X4)),
inference(paramodulation,[status(thm)],[f10,f1275]) ).
fof(f1490,plain,
! [X0,X1,X2,X3,X4] : 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))),X4)) = mult(mult(mult(mult(X0,X2),mult(X1,X3)),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(forward_demodulation,[status(thm)],[f955,f1394]) ).
fof(f1491,plain,
! [X0,X1,X2,X3,X4] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),X4)) = mult(mult(mult(mult(X0,X2),mult(X1,X3)),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(forward_demodulation,[status(thm)],[f10,f1490]) ).
fof(f1839,plain,
! [X0,X1,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))))) = 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)))),
inference(paramodulation,[status(thm)],[f9,f1384]) ).
fof(f2071,plain,
! [X0,X1,X2,X3] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(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))))) = 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)))),
inference(forward_demodulation,[status(thm)],[f28,f1839]) ).
fof(f2072,plain,
! [X0,X1,X2,X3] : mult(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(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(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)))),
inference(forward_demodulation,[status(thm)],[f1275,f2071]) ).
fof(f2073,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))))) = mult(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(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)],[f1491,f2072]) ).
fof(f2074,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(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)))),
inference(forward_demodulation,[status(thm)],[f271,f2073]) ).
fof(f2075,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X0,X2)),mult(X1,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)))),
inference(forward_demodulation,[status(thm)],[f8,f2074]) ).
fof(f2076,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X0),X2),mult(X1,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)))),
inference(forward_demodulation,[status(thm)],[f8,f2075]) ).
fof(f2077,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(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)))),
inference(forward_demodulation,[status(thm)],[f11,f2076]) ).
fof(f2078,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(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))),
inference(forward_demodulation,[status(thm)],[f936,f2077]) ).
fof(f2079,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,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))),
inference(forward_demodulation,[status(thm)],[f917,f2078]) ).
fof(f2080,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(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X1),mult(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f28,f2079]) ).
fof(f2081,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(X0,X1),mult(X2,X3)),mult(mult(X0,X1),mult(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f121,f2080]) ).
fof(f2082,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(X0,X1),mult(X0,X1)),mult(X2,X3))),
inference(forward_demodulation,[status(thm)],[f8,f2081]) ).
fof(f2083,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(X0,X0),X1),mult(X2,X3))),
inference(forward_demodulation,[status(thm)],[f8,f2082]) ).
fof(f2085,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)],[f11,f2083]) ).
fof(f2086,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f2085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG245-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n011.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 13:09:56 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 5.81/1.24 % Refutation found
% 5.81/1.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.81/1.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.81/1.27 % Elapsed time: 0.811589 seconds
% 5.81/1.27 % CPU time: 6.171384 seconds
% 5.81/1.27 % Total memory used: 116.082 MB
% 5.81/1.27 % Net memory used: 115.354 MB
%------------------------------------------------------------------------------