TSTP Solution File: GRP707-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP707-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:21:28 EDT 2024

% Result   : Unsatisfiable 2.72s 0.71s
% Output   : CNFRefutation 2.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   57
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  174 ( 174 unt;   0 def)
%            Number of atoms       :  174 ( 173 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    8 (   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   :  345 ( 345   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : mult(A,ld(A,B)) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B] : ld(A,mult(A,B)) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] : mult(rd(A,B),B) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] : rd(mult(A,B),B) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A] : mult(A,unit) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : mult(unit,A) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A] : mult(A,mult(A,mult(A,A))) = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A,B] : mult(mult(A,A),B) = mult(B,mult(A,A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    mult(mult(a,b),a) != mult(a,mult(b,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f12,plain,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f13,plain,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f14,plain,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f15,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f16,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f17,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f18,plain,
    ! [X0] : mult(X0,mult(X0,mult(X0,X0))) = unit,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f19,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X1,mult(X0,X0)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f20,plain,
    mult(mult(a,b),a) != mult(a,mult(b,a)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f26,plain,
    ! [X0] : ld(X0,X0) = unit,
    inference(paramodulation,[status(thm)],[f15,f12]) ).

fof(f30,plain,
    ! [X0,X1] : ld(rd(X0,X1),X0) = X1,
    inference(paramodulation,[status(thm)],[f13,f12]) ).

fof(f34,plain,
    ! [X0] : rd(X0,X0) = unit,
    inference(paramodulation,[status(thm)],[f16,f14]) ).

fof(f35,plain,
    ! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
    inference(paramodulation,[status(thm)],[f11,f14]) ).

fof(f43,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,ld(mult(mult(X0,X1),X1),X2)))) = X2,
    inference(paramodulation,[status(thm)],[f11,f17]) ).

fof(f44,plain,
    ! [X0,X1] : mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f15,f17]) ).

fof(f45,plain,
    ! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
    inference(forward_demodulation,[status(thm)],[f15,f44]) ).

fof(f53,plain,
    ! [X0,X1] : mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
    inference(paramodulation,[status(thm)],[f16,f17]) ).

fof(f54,plain,
    ! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
    inference(forward_demodulation,[status(thm)],[f16,f53]) ).

fof(f55,plain,
    ! [X0,X1,X2] : mult(X0,mult(ld(X0,X1),mult(ld(X0,X1),X2))) = mult(mult(X1,ld(X0,X1)),X2),
    inference(paramodulation,[status(thm)],[f11,f17]) ).

fof(f66,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
    inference(backward_demodulation,[status(thm)],[f45,f17]) ).

fof(f67,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,ld(mult(X0,mult(X1,X1)),X2)))) = X2,
    inference(backward_demodulation,[status(thm)],[f45,f43]) ).

fof(f68,plain,
    ! [X0,X1] : mult(X0,mult(X0,X1)) = mult(X1,mult(X0,X0)),
    inference(backward_demodulation,[status(thm)],[f54,f19]) ).

fof(f74,plain,
    ! [X0,X1] : mult(mult(X0,X1),mult(X1,X1)) = mult(mult(X0,mult(X1,X1)),X1),
    inference(paramodulation,[status(thm)],[f45,f45]) ).

fof(f75,plain,
    ! [X0,X1] : mult(X0,mult(X0,mult(X1,X0))) = mult(mult(X1,mult(X0,X0)),X0),
    inference(forward_demodulation,[status(thm)],[f68,f74]) ).

fof(f76,plain,
    ! [X0,X1] : mult(X0,mult(X0,mult(X1,X0))) = mult(X1,mult(X0,mult(X0,X0))),
    inference(forward_demodulation,[status(thm)],[f66,f75]) ).

fof(f77,plain,
    ! [X0,X1] : mult(rd(X0,X1),mult(X1,X1)) = mult(X0,X1),
    inference(paramodulation,[status(thm)],[f13,f45]) ).

fof(f78,plain,
    ! [X0,X1] : mult(X0,mult(X0,rd(X1,X0))) = mult(X1,X0),
    inference(forward_demodulation,[status(thm)],[f68,f77]) ).

fof(f83,plain,
    ! [X0,X1] : rd(mult(X0,mult(X1,X1)),X1) = mult(X0,X1),
    inference(paramodulation,[status(thm)],[f45,f14]) ).

fof(f97,plain,
    ! [X0,X1] : rd(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
    inference(paramodulation,[status(thm)],[f54,f14]) ).

fof(f98,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,X1))) = X1,
    inference(paramodulation,[status(thm)],[f54,f12]) ).

fof(f113,plain,
    ! [X0,X1] : mult(rd(X0,X1),X0) = mult(X1,mult(rd(X0,X1),rd(X0,X1))),
    inference(paramodulation,[status(thm)],[f13,f68]) ).

fof(f154,plain,
    ! [X0,X1] : ld(X0,mult(X1,mult(X0,X0))) = mult(X0,X1),
    inference(paramodulation,[status(thm)],[f68,f12]) ).

fof(f203,plain,
    ! [X0,X1] : ld(X0,mult(X1,X0)) = mult(X0,rd(X1,X0)),
    inference(paramodulation,[status(thm)],[f78,f12]) ).

fof(f245,plain,
    ! [X0] : ld(X0,unit) = mult(X0,mult(X0,X0)),
    inference(paramodulation,[status(thm)],[f18,f12]) ).

fof(f248,plain,
    ! [X0,X1] : mult(X0,mult(X0,mult(X1,X0))) = mult(X1,ld(X0,unit)),
    inference(backward_demodulation,[status(thm)],[f245,f76]) ).

fof(f277,plain,
    ! [X0] : ld(X0,ld(X0,unit)) = mult(X0,X0),
    inference(paramodulation,[status(thm)],[f245,f12]) ).

fof(f302,plain,
    ! [X0,X1] : rd(mult(X0,mult(mult(X1,X1),mult(X1,X1))),X1) = mult(mult(X0,mult(X1,X1)),X1),
    inference(paramodulation,[status(thm)],[f45,f83]) ).

fof(f303,plain,
    ! [X0,X1] : rd(mult(X0,mult(X1,mult(X1,mult(X1,X1)))),X1) = mult(mult(X0,mult(X1,X1)),X1),
    inference(forward_demodulation,[status(thm)],[f54,f302]) ).

fof(f304,plain,
    ! [X0,X1] : rd(mult(X0,mult(X1,ld(X1,unit))),X1) = mult(mult(X0,mult(X1,X1)),X1),
    inference(forward_demodulation,[status(thm)],[f248,f303]) ).

fof(f305,plain,
    ! [X0,X1] : rd(mult(X0,unit),X1) = mult(mult(X0,mult(X1,X1)),X1),
    inference(forward_demodulation,[status(thm)],[f11,f304]) ).

fof(f306,plain,
    ! [X0,X1] : rd(X0,X1) = mult(mult(X0,mult(X1,X1)),X1),
    inference(forward_demodulation,[status(thm)],[f15,f305]) ).

fof(f307,plain,
    ! [X0,X1] : rd(X0,X1) = mult(X0,mult(X1,mult(X1,X1))),
    inference(forward_demodulation,[status(thm)],[f66,f306]) ).

fof(f308,plain,
    ! [X0,X1] : rd(X0,X1) = mult(X0,ld(X1,unit)),
    inference(forward_demodulation,[status(thm)],[f245,f307]) ).

fof(f315,plain,
    ! [X0] : rd(ld(X0,unit),X0) = mult(X0,X0),
    inference(paramodulation,[status(thm)],[f245,f83]) ).

fof(f332,plain,
    ! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,mult(X0,ld(X1,unit))),
    inference(paramodulation,[status(thm)],[f54,f308]) ).

fof(f333,plain,
    ! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,rd(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f308,f332]) ).

fof(f339,plain,
    ! [X0] : rd(unit,X0) = ld(X0,unit),
    inference(paramodulation,[status(thm)],[f16,f308]) ).

fof(f342,plain,
    ! [X0,X1] : rd(X0,rd(unit,X1)) = mult(X0,X1),
    inference(paramodulation,[status(thm)],[f30,f308]) ).

fof(f343,plain,
    ! [X0,X1] : rd(X0,ld(X1,unit)) = mult(X0,X1),
    inference(forward_demodulation,[status(thm)],[f339,f342]) ).

fof(f384,plain,
    ! [X0,X1] : ld(X0,rd(X0,X1)) = ld(X1,unit),
    inference(paramodulation,[status(thm)],[f308,f12]) ).

fof(f468,plain,
    ! [X0,X1] : rd(mult(X0,mult(X1,mult(X0,X0))),mult(X0,X1)) = mult(X0,X0),
    inference(paramodulation,[status(thm)],[f68,f97]) ).

fof(f469,plain,
    ! [X0,X1] : rd(mult(X0,rd(X0,X1)),ld(X1,unit)) = mult(X0,X0),
    inference(paramodulation,[status(thm)],[f308,f97]) ).

fof(f470,plain,
    ! [X0,X1] : mult(mult(X0,rd(X0,X1)),X1) = mult(X0,X0),
    inference(forward_demodulation,[status(thm)],[f343,f469]) ).

fof(f471,plain,
    ! [X0,X1] : rd(mult(X0,X1),ld(X0,X1)) = mult(X0,X0),
    inference(paramodulation,[status(thm)],[f11,f97]) ).

fof(f524,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = ld(X0,X1),
    inference(paramodulation,[status(thm)],[f11,f98]) ).

fof(f605,plain,
    ! [X0,X1] : ld(X0,mult(X1,mult(mult(X0,X0),mult(X0,X0)))) = mult(X0,mult(X1,mult(X0,X0))),
    inference(paramodulation,[status(thm)],[f45,f154]) ).

fof(f606,plain,
    ! [X0,X1] : ld(X0,mult(X1,mult(X0,mult(X0,mult(X0,X0))))) = mult(X0,mult(X1,mult(X0,X0))),
    inference(forward_demodulation,[status(thm)],[f54,f605]) ).

fof(f607,plain,
    ! [X0,X1] : ld(X0,mult(X1,mult(X0,ld(X0,unit)))) = mult(X0,mult(X1,mult(X0,X0))),
    inference(forward_demodulation,[status(thm)],[f245,f606]) ).

fof(f608,plain,
    ! [X0,X1] : ld(X0,mult(X1,rd(X0,X0))) = mult(X0,mult(X1,mult(X0,X0))),
    inference(forward_demodulation,[status(thm)],[f308,f607]) ).

fof(f609,plain,
    ! [X0,X1] : ld(X0,mult(X1,unit)) = mult(X0,mult(X1,mult(X0,X0))),
    inference(forward_demodulation,[status(thm)],[f34,f608]) ).

fof(f610,plain,
    ! [X0,X1] : ld(X0,X1) = mult(X0,mult(X1,mult(X0,X0))),
    inference(forward_demodulation,[status(thm)],[f15,f609]) ).

fof(f617,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(X1,mult(X0,mult(X0,mult(X0,X0))))) = mult(mult(X0,X0),X1),
    inference(paramodulation,[status(thm)],[f54,f154]) ).

fof(f618,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(X1,ld(X0,X0))) = mult(mult(X0,X0),X1),
    inference(forward_demodulation,[status(thm)],[f610,f617]) ).

fof(f619,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(X1,unit)) = mult(mult(X0,X0),X1),
    inference(forward_demodulation,[status(thm)],[f26,f618]) ).

fof(f620,plain,
    ! [X0,X1] : ld(mult(X0,X0),X1) = mult(mult(X0,X0),X1),
    inference(forward_demodulation,[status(thm)],[f15,f619]) ).

fof(f621,plain,
    ! [X0,X1] : ld(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f54,f620]) ).

fof(f639,plain,
    ! [X0,X1] : mult(X0,mult(X0,X1)) = mult(X1,mult(X0,X0)),
    inference(paramodulation,[status(thm)],[f154,f11]) ).

fof(f640,plain,
    ! [X0,X1] : ld(mult(X0,X0),X1) = mult(X1,mult(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f621,f639]) ).

fof(f642,plain,
    ! [X0,X1] : rd(ld(X0,X1),mult(X0,X1)) = mult(X0,X0),
    inference(backward_demodulation,[status(thm)],[f610,f468]) ).

fof(f652,plain,
    ! [X0,X1,X2] : mult(X0,ld(mult(ld(X0,X1),ld(X0,X1)),X2)) = mult(mult(X1,ld(X0,X1)),X2),
    inference(backward_demodulation,[status(thm)],[f621,f55]) ).

fof(f653,plain,
    ! [X0,X1,X2] : mult(X0,ld(mult(X1,X1),ld(mult(X0,mult(X1,X1)),X2))) = X2,
    inference(backward_demodulation,[status(thm)],[f621,f67]) ).

fof(f654,plain,
    ! [X0,X1,X2] : mult(X0,ld(mult(X1,X1),ld(ld(mult(X1,X1),X0),X2))) = X2,
    inference(forward_demodulation,[status(thm)],[f640,f653]) ).

fof(f700,plain,
    ! [X0,X1] : ld(X0,ld(mult(X0,X0),X1)) = mult(X0,X1),
    inference(backward_demodulation,[status(thm)],[f640,f154]) ).

fof(f707,plain,
    ! [X0,X1] : mult(rd(X0,X1),X0) = ld(mult(rd(X0,X1),rd(X0,X1)),X1),
    inference(backward_demodulation,[status(thm)],[f640,f113]) ).

fof(f732,plain,
    ! [X0,X1] : ld(X0,mult(mult(X1,X0),X0)) = mult(X0,X1),
    inference(paramodulation,[status(thm)],[f14,f203]) ).

fof(f743,plain,
    ! [X0,X1] : ld(X0,ld(X0,mult(X1,X0))) = rd(X1,X0),
    inference(paramodulation,[status(thm)],[f203,f12]) ).

fof(f776,plain,
    ! [X0,X1] : ld(mult(X0,rd(X0,X1)),mult(X0,X0)) = X1,
    inference(paramodulation,[status(thm)],[f333,f30]) ).

fof(f790,plain,
    ! [X0,X1] : mult(mult(X0,X1),ld(X1,X0)) = mult(X0,X0),
    inference(paramodulation,[status(thm)],[f35,f470]) ).

fof(f830,plain,
    ! [X0,X1] : mult(mult(X0,X0),ld(X0,X1)) = mult(X0,X1),
    inference(paramodulation,[status(thm)],[f471,f13]) ).

fof(f844,plain,
    ! [X0,X1] : ld(rd(ld(X0,unit),X0),mult(ld(X0,unit),X1)) = ld(ld(X0,unit),X1),
    inference(paramodulation,[status(thm)],[f308,f524]) ).

fof(f845,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(ld(X0,unit),X1)) = ld(ld(X0,unit),X1),
    inference(forward_demodulation,[status(thm)],[f315,f844]) ).

fof(f860,plain,
    ! [X0,X1] : ld(mult(X0,X0),X1) = ld(X0,ld(X0,X1)),
    inference(paramodulation,[status(thm)],[f11,f524]) ).

fof(f876,plain,
    ! [X0,X1] : mult(rd(X0,X1),X0) = ld(rd(X0,X1),ld(rd(X0,X1),X1)),
    inference(backward_demodulation,[status(thm)],[f860,f707]) ).

fof(f880,plain,
    ! [X0,X1,X2] : mult(X0,ld(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(mult(X1,ld(X0,X1)),X2),
    inference(backward_demodulation,[status(thm)],[f860,f652]) ).

fof(f884,plain,
    ! [X0,X1,X2] : mult(X0,ld(X1,ld(X1,ld(ld(mult(X1,X1),X0),X2)))) = X2,
    inference(backward_demodulation,[status(thm)],[f860,f654]) ).

fof(f885,plain,
    ! [X0,X1,X2] : mult(X0,ld(X1,ld(X1,ld(ld(X1,ld(X1,X0)),X2)))) = X2,
    inference(forward_demodulation,[status(thm)],[f860,f884]) ).

fof(f890,plain,
    ! [X0,X1] : ld(X0,ld(X0,mult(ld(X0,unit),X1))) = ld(ld(X0,unit),X1),
    inference(backward_demodulation,[status(thm)],[f860,f845]) ).

fof(f914,plain,
    ! [X0,X1] : ld(X0,ld(X0,ld(X0,X1))) = mult(X0,X1),
    inference(backward_demodulation,[status(thm)],[f860,f700]) ).

fof(f977,plain,
    ! [X0,X1] : mult(rd(mult(X0,X1),X1),mult(X0,X1)) = ld(X0,ld(rd(mult(X0,X1),X1),X1)),
    inference(paramodulation,[status(thm)],[f14,f876]) ).

fof(f978,plain,
    ! [X0,X1] : mult(X0,mult(X0,X1)) = ld(X0,ld(rd(mult(X0,X1),X1),X1)),
    inference(forward_demodulation,[status(thm)],[f14,f977]) ).

fof(f979,plain,
    ! [X0,X1] : mult(X0,mult(X0,X1)) = ld(X0,ld(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f14,f978]) ).

fof(f1055,plain,
    ! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X1,X0),X0),
    inference(paramodulation,[status(thm)],[f732,f11]) ).

fof(f1056,plain,
    ! [X0,X1] : ld(X0,ld(X0,X1)) = mult(mult(X1,X0),X0),
    inference(forward_demodulation,[status(thm)],[f979,f1055]) ).

fof(f1078,plain,
    ! [X0,X1] : ld(mult(X0,X1),mult(X0,X0)) = ld(X1,X0),
    inference(paramodulation,[status(thm)],[f35,f776]) ).

fof(f1121,plain,
    ! [X0,X1] : mult(rd(X0,X1),ld(ld(X1,unit),X0)) = mult(X0,X0),
    inference(paramodulation,[status(thm)],[f308,f790]) ).

fof(f1166,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
    inference(paramodulation,[status(thm)],[f12,f830]) ).

fof(f1167,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = ld(X0,ld(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f979,f1166]) ).

fof(f1238,plain,
    ! [X0,X1,X2] : mult(X0,ld(X1,ld(ld(X0,mult(X0,X1)),X2))) = mult(mult(mult(X0,X1),ld(X0,mult(X0,X1))),X2),
    inference(paramodulation,[status(thm)],[f12,f880]) ).

fof(f1239,plain,
    ! [X0,X1,X2] : mult(X0,ld(X1,ld(X1,X2))) = mult(mult(mult(X0,X1),ld(X0,mult(X0,X1))),X2),
    inference(forward_demodulation,[status(thm)],[f12,f1238]) ).

fof(f1240,plain,
    ! [X0,X1,X2] : mult(X0,ld(X1,ld(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
    inference(forward_demodulation,[status(thm)],[f12,f1239]) ).

fof(f1241,plain,
    ! [X0,X1,X2] : mult(X0,ld(X1,ld(X1,X2))) = mult(ld(X1,ld(X1,X0)),X2),
    inference(forward_demodulation,[status(thm)],[f1056,f1240]) ).

fof(f1277,plain,
    ! [X0,X1,X2] : ld(X0,mult(mult(X1,ld(X0,X1)),X2)) = ld(ld(X0,X1),ld(ld(X0,X1),X2)),
    inference(paramodulation,[status(thm)],[f880,f12]) ).

fof(f1288,plain,
    ! [X0,X1] : ld(ld(X0,unit),ld(ld(X0,unit),X1)) = rd(mult(X1,ld(X0,unit)),X0),
    inference(paramodulation,[status(thm)],[f308,f1056]) ).

fof(f1289,plain,
    ! [X0,X1] : ld(X0,mult(mult(unit,ld(X0,unit)),X1)) = rd(mult(X1,ld(X0,unit)),X0),
    inference(forward_demodulation,[status(thm)],[f1277,f1288]) ).

fof(f1290,plain,
    ! [X0,X1] : ld(X0,mult(ld(X0,unit),X1)) = rd(mult(X1,ld(X0,unit)),X0),
    inference(forward_demodulation,[status(thm)],[f16,f1289]) ).

fof(f1291,plain,
    ! [X0,X1] : ld(X0,mult(ld(X0,unit),X1)) = rd(rd(X1,X0),X0),
    inference(forward_demodulation,[status(thm)],[f308,f1290]) ).

fof(f1340,plain,
    ! [X0,X1] : ld(X0,rd(rd(X1,X0),X0)) = ld(ld(X0,unit),X1),
    inference(backward_demodulation,[status(thm)],[f1291,f890]) ).

fof(f1419,plain,
    ! [X0,X1] : mult(rd(ld(X0,unit),X0),X1) = ld(ld(X0,unit),ld(ld(X0,unit),X1)),
    inference(paramodulation,[status(thm)],[f308,f1167]) ).

fof(f1420,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = ld(ld(X0,unit),ld(ld(X0,unit),X1)),
    inference(forward_demodulation,[status(thm)],[f315,f1419]) ).

fof(f1421,plain,
    ! [X0,X1] : ld(X0,ld(X0,X1)) = ld(ld(X0,unit),ld(ld(X0,unit),X1)),
    inference(forward_demodulation,[status(thm)],[f1167,f1420]) ).

fof(f1422,plain,
    ! [X0,X1] : ld(X0,ld(X0,X1)) = ld(X0,mult(mult(unit,ld(X0,unit)),X1)),
    inference(forward_demodulation,[status(thm)],[f1277,f1421]) ).

fof(f1423,plain,
    ! [X0,X1] : ld(X0,ld(X0,X1)) = ld(X0,mult(ld(X0,unit),X1)),
    inference(forward_demodulation,[status(thm)],[f16,f1422]) ).

fof(f1424,plain,
    ! [X0,X1] : ld(X0,ld(X0,X1)) = rd(rd(X1,X0),X0),
    inference(forward_demodulation,[status(thm)],[f1291,f1423]) ).

fof(f1450,plain,
    ! [X0,X1] : ld(mult(mult(X0,X0),X1),ld(X0,ld(X0,mult(X0,X0)))) = ld(X1,mult(X0,X0)),
    inference(paramodulation,[status(thm)],[f1167,f1078]) ).

fof(f1451,plain,
    ! [X0,X1] : ld(ld(X0,ld(X0,X1)),ld(X0,ld(X0,mult(X0,X0)))) = ld(X1,mult(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f1167,f1450]) ).

fof(f1452,plain,
    ! [X0,X1] : ld(ld(X0,ld(X0,X1)),rd(X0,X0)) = ld(X1,mult(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f743,f1451]) ).

fof(f1453,plain,
    ! [X0,X1] : ld(ld(X0,ld(X0,X1)),unit) = ld(X1,mult(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f34,f1452]) ).

fof(f1493,plain,
    ! [X0,X1] : ld(X0,ld(X0,ld(X0,X1))) = ld(ld(X0,unit),X1),
    inference(backward_demodulation,[status(thm)],[f1424,f1340]) ).

fof(f1494,plain,
    ! [X0,X1] : mult(X0,X1) = ld(ld(X0,unit),X1),
    inference(forward_demodulation,[status(thm)],[f914,f1493]) ).

fof(f1505,plain,
    ! [X0,X1] : mult(rd(X0,X1),mult(X1,X0)) = mult(X0,X0),
    inference(backward_demodulation,[status(thm)],[f1494,f1121]) ).

fof(f1569,plain,
    ! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = rd(X0,X1),
    inference(paramodulation,[status(thm)],[f1505,f14]) ).

fof(f1570,plain,
    ! [X0,X1] : mult(X0,rd(X0,mult(X1,X0))) = rd(X0,X1),
    inference(forward_demodulation,[status(thm)],[f333,f1569]) ).

fof(f1571,plain,
    ! [X0,X1] : ld(rd(X0,X1),mult(X0,X0)) = mult(X1,X0),
    inference(paramodulation,[status(thm)],[f1505,f12]) ).

fof(f1601,plain,
    ! [X0,X1] : ld(X0,ld(X0,rd(mult(X0,X0),mult(X1,mult(X0,X0))))) = rd(mult(X0,X0),X1),
    inference(paramodulation,[status(thm)],[f1167,f1570]) ).

fof(f1602,plain,
    ! [X0,X1] : ld(X0,ld(X0,mult(X0,rd(X0,mult(X1,mult(X0,X0)))))) = rd(mult(X0,X0),X1),
    inference(forward_demodulation,[status(thm)],[f333,f1601]) ).

fof(f1603,plain,
    ! [X0,X1] : ld(X0,rd(X0,mult(X1,mult(X0,X0)))) = rd(mult(X0,X0),X1),
    inference(forward_demodulation,[status(thm)],[f12,f1602]) ).

fof(f1604,plain,
    ! [X0,X1] : ld(mult(X0,mult(X1,X1)),unit) = rd(mult(X1,X1),X0),
    inference(forward_demodulation,[status(thm)],[f384,f1603]) ).

fof(f1605,plain,
    ! [X0,X1] : ld(mult(X0,mult(X1,X1)),unit) = mult(X1,rd(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f333,f1604]) ).

fof(f1718,plain,
    ! [X0,X1] : mult(X0,ld(X1,ld(X1,unit))) = ld(X1,ld(X1,X0)),
    inference(paramodulation,[status(thm)],[f26,f885]) ).

fof(f1719,plain,
    ! [X0,X1] : mult(X0,mult(X1,X1)) = ld(X1,ld(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f277,f1718]) ).

fof(f1794,plain,
    ! [X0,X1] : ld(ld(X0,ld(X0,X1)),unit) = mult(X0,rd(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f1719,f1605]) ).

fof(f1795,plain,
    ! [X0,X1] : ld(X0,mult(X1,X1)) = mult(X1,rd(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f1453,f1794]) ).

fof(f1834,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(ld(X0,X1),ld(X0,X1))) = mult(mult(X0,X1),ld(X0,X1)),
    inference(paramodulation,[status(thm)],[f642,f1571]) ).

fof(f1835,plain,
    ! [X0,X1] : ld(X0,ld(X0,mult(ld(X0,X1),ld(X0,X1)))) = mult(mult(X0,X1),ld(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f860,f1834]) ).

fof(f1836,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(mult(X0,X1),mult(X0,X1))) = mult(ld(X0,X1),mult(X0,X1)),
    inference(paramodulation,[status(thm)],[f471,f1571]) ).

fof(f1837,plain,
    ! [X0,X1] : ld(X0,ld(X0,mult(mult(X0,X1),mult(X0,X1)))) = mult(ld(X0,X1),mult(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f860,f1836]) ).

fof(f1838,plain,
    ! [X0,X1] : ld(X0,mult(mult(X0,X1),mult(X0,X1))) = mult(X1,mult(X0,X1)),
    inference(paramodulation,[status(thm)],[f14,f1571]) ).

fof(f1839,plain,
    ! [X0,X1] : ld(X0,mult(X1,X1)) = mult(ld(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f35,f1571]) ).

fof(f1881,plain,
    ! [X0,X1] : ld(X0,mult(X1,mult(X0,X1))) = mult(ld(X0,X1),mult(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f1838,f1837]) ).

fof(f1981,plain,
    ! [X0,X1] : ld(X0,mult(mult(X1,X0),mult(X1,X0))) = mult(mult(X1,X0),X1),
    inference(paramodulation,[status(thm)],[f14,f1795]) ).

fof(f1982,plain,
    ! [X0,X1] : ld(ld(X0,X1),mult(X1,X1)) = mult(X1,X0),
    inference(paramodulation,[status(thm)],[f35,f1795]) ).

fof(f2009,plain,
    ! [X0,X1] : ld(X0,ld(X1,mult(X0,X0))) = rd(X0,X1),
    inference(paramodulation,[status(thm)],[f1795,f12]) ).

fof(f2115,plain,
    ! [X0,X1] : ld(mult(X0,X1),mult(mult(X0,X0),mult(X0,X0))) = mult(ld(X1,X0),mult(X0,X0)),
    inference(paramodulation,[status(thm)],[f1078,f1839]) ).

fof(f2116,plain,
    ! [X0,X1] : ld(mult(X0,X1),ld(X0,ld(X0,mult(X0,X0)))) = mult(ld(X1,X0),mult(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f1167,f2115]) ).

fof(f2117,plain,
    ! [X0,X1] : ld(mult(X0,X1),rd(X0,X0)) = mult(ld(X1,X0),mult(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f2009,f2116]) ).

fof(f2118,plain,
    ! [X0,X1] : ld(mult(X0,X1),unit) = mult(ld(X1,X0),mult(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f34,f2117]) ).

fof(f2119,plain,
    ! [X0,X1] : ld(mult(X0,X1),unit) = ld(X0,ld(X0,ld(X1,X0))),
    inference(forward_demodulation,[status(thm)],[f1719,f2118]) ).

fof(f2314,plain,
    ! [X0,X1] : rd(mult(X0,X1),mult(ld(X1,X0),mult(X0,X0))) = mult(ld(X1,X0),ld(X1,X0)),
    inference(paramodulation,[status(thm)],[f1982,f642]) ).

fof(f2315,plain,
    ! [X0,X1] : rd(mult(X0,X1),ld(X0,ld(X0,ld(X1,X0)))) = mult(ld(X1,X0),ld(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f1719,f2314]) ).

fof(f2316,plain,
    ! [X0,X1] : rd(mult(X0,X1),ld(mult(X0,X1),unit)) = mult(ld(X1,X0),ld(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f2119,f2315]) ).

fof(f2317,plain,
    ! [X0,X1] : mult(mult(X0,X1),mult(X0,X1)) = mult(ld(X1,X0),ld(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f343,f2316]) ).

fof(f2332,plain,
    ! [X0,X1] : ld(X0,mult(ld(X0,X1),ld(X0,X1))) = mult(mult(X1,X0),X1),
    inference(backward_demodulation,[status(thm)],[f2317,f1981]) ).

fof(f2339,plain,
    ! [X0,X1] : ld(X0,mult(mult(X1,X0),X1)) = mult(mult(X0,X1),ld(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f2332,f1835]) ).

fof(f3826,plain,
    ! [X0,X1] : ld(X0,mult(ld(X0,ld(X0,X1)),mult(X0,ld(X0,ld(X0,X1))))) = mult(mult(X0,X1),mult(X0,ld(X0,ld(X0,X1)))),
    inference(paramodulation,[status(thm)],[f914,f1881]) ).

fof(f3827,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,ld(X0,mult(X0,ld(X0,ld(X0,X1))))))) = mult(mult(X0,X1),mult(X0,ld(X0,ld(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f1241,f3826]) ).

fof(f3828,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,ld(X0,ld(X0,X1))))) = mult(mult(X0,X1),mult(X0,ld(X0,ld(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f12,f3827]) ).

fof(f3829,plain,
    ! [X0,X1] : ld(X0,mult(X1,mult(X0,X1))) = mult(mult(X0,X1),mult(X0,ld(X0,ld(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f914,f3828]) ).

fof(f3830,plain,
    ! [X0,X1] : ld(X0,mult(X1,mult(X0,X1))) = mult(mult(X0,X1),ld(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f11,f3829]) ).

fof(f3831,plain,
    ! [X0,X1] : ld(X0,mult(X1,mult(X0,X1))) = ld(X0,mult(mult(X1,X0),X1)),
    inference(forward_demodulation,[status(thm)],[f2339,f3830]) ).

fof(f5144,plain,
    ! [X0,X1] : mult(X0,ld(X0,mult(X1,mult(X0,X1)))) = mult(mult(X1,X0),X1),
    inference(paramodulation,[status(thm)],[f3831,f11]) ).

fof(f5145,plain,
    ! [X0,X1] : mult(X0,mult(X1,X0)) = mult(mult(X0,X1),X0),
    inference(forward_demodulation,[status(thm)],[f11,f5144]) ).

fof(f5212,plain,
    mult(a,mult(b,a)) != mult(a,mult(b,a)),
    inference(backward_demodulation,[status(thm)],[f5145,f20]) ).

fof(f5213,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f5212]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP707-1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:32:57 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 2.72/0.71  % Refutation found
% 2.72/0.71  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.72/0.71  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.72/0.73  % Elapsed time: 0.377283 seconds
% 2.72/0.73  % CPU time: 2.886945 seconds
% 2.72/0.73  % Total memory used: 59.722 MB
% 2.72/0.73  % Net memory used: 58.225 MB
%------------------------------------------------------------------------------