TSTP Solution File: GRP683+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP683+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:12:32 EDT 2023
% Result : Theorem 1.75s 0.63s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 10
% Syntax : Number of formulae : 280 ( 263 unt; 0 def)
% Number of atoms : 297 ( 280 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 13 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 687 (; 678 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : ld(A,mult(A,A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : rd(mult(A,A),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,A] : mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B,A] : mult(rd(A,B),B) = rd(mult(A,B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [D,C,B,A] : ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [D,C,B,A] : rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [B,A] : ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [X3,X4,X5] :
( mult(X3,ld(X4,mult(X4,X5))) = mult(X3,X5)
& mult(rd(mult(X3,X4),X4),X5) = mult(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [X3,X4,X5] :
( mult(X3,ld(X4,mult(X4,X5))) = mult(X3,X5)
& mult(rd(mult(X3,X4),X4),X5) = mult(X3,X5) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
? [X3,X4,X5] :
( mult(X3,ld(X4,mult(X4,X5))) != mult(X3,X5)
| mult(rd(mult(X3,X4),X4),X5) != mult(X3,X5) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f18,plain,
( ? [X3,X4,X5] : mult(X3,ld(X4,mult(X4,X5))) != mult(X3,X5)
| ? [X3,X4,X5] : mult(rd(mult(X3,X4),X4),X5) != mult(X3,X5) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f19,plain,
( mult(sk0_0,ld(sk0_1,mult(sk0_1,sk0_2))) != mult(sk0_0,sk0_2)
| mult(rd(mult(sk0_3,sk0_4),sk0_4),sk0_5) != mult(sk0_3,sk0_5) ),
inference(skolemization,[status(esa)],[f18]) ).
fof(f20,plain,
( mult(sk0_0,ld(sk0_1,mult(sk0_1,sk0_2))) != mult(sk0_0,sk0_2)
| mult(rd(mult(sk0_3,sk0_4),sk0_4),sk0_5) != mult(sk0_3,sk0_5) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
( spl0_0
<=> mult(sk0_0,ld(sk0_1,mult(sk0_1,sk0_2))) = mult(sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f23,plain,
( mult(sk0_0,ld(sk0_1,mult(sk0_1,sk0_2))) != mult(sk0_0,sk0_2)
| spl0_0 ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f24,plain,
( spl0_1
<=> mult(rd(mult(sk0_3,sk0_4),sk0_4),sk0_5) = mult(sk0_3,sk0_5) ),
introduced(split_symbol_definition) ).
fof(f26,plain,
( mult(rd(mult(sk0_3,sk0_4),sk0_4),sk0_5) != mult(sk0_3,sk0_5)
| spl0_1 ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f20,f21,f24]) ).
fof(f28,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f12,f14]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f12,f28]) ).
fof(f30,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f13,f15]) ).
fof(f31,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f13,f30]) ).
fof(f32,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f12,f16]) ).
fof(f33,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f13,f32]) ).
fof(f34,plain,
( mult(sk0_0,mult(sk0_1,ld(sk0_1,sk0_2))) != mult(sk0_0,sk0_2)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f12,f23]) ).
fof(f35,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f12,f10]) ).
fof(f36,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f13,f11]) ).
fof(f38,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(paramodulation,[status(thm)],[f35,f12]) ).
fof(f39,plain,
! [X0] : mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f36,f13]) ).
fof(f40,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f33,f39]) ).
fof(f41,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f38,f40]) ).
fof(f42,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f35,f13]) ).
fof(f43,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f41,f36]) ).
fof(f46,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(backward_demodulation,[status(thm)],[f41,f33]) ).
fof(f47,plain,
! [X0,X1,X2,X3] : mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(paramodulation,[status(thm)],[f12,f29]) ).
fof(f48,plain,
! [X0,X1,X2,X3] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f12,f47]) ).
fof(f54,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(paramodulation,[status(thm)],[f35,f29]) ).
fof(f69,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = mult(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f41,f46]) ).
fof(f70,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f43,f69]) ).
fof(f74,plain,
! [X0,X1] : mult(rd(rd(ld(X0,X0),X1),X1),X1) = rd(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(paramodulation,[status(thm)],[f46,f13]) ).
fof(f86,plain,
! [X0,X1,X2] : mult(mult(rd(X0,rd(X1,X2)),rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X1,X2),X2),X2)),
inference(paramodulation,[status(thm)],[f13,f31]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4,X5] : mult(rd(mult(X0,mult(rd(X1,X2),X2)),rd(X3,X4)),rd(X3,X4)) = mult(rd(mult(X0,X1),rd(X5,X2)),mult(rd(rd(X5,X2),X4),X4)),
inference(paramodulation,[status(thm)],[f31,f31]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] : mult(X0,mult(rd(mult(rd(X1,X2),X2),X3),X3)) = mult(rd(mult(X0,X1),rd(X4,X2)),mult(rd(rd(X4,X2),X3),X3)),
inference(forward_demodulation,[status(thm)],[f31,f87]) ).
fof(f89,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,ld(X0,ld(X1,X1))),rd(X2,X3)),rd(X2,X3)) = mult(rd(ld(X0,X0),X1),mult(rd(X1,X3),X3)),
inference(paramodulation,[status(thm)],[f46,f31]) ).
fof(f90,plain,
! [X0,X1,X2] : mult(X0,mult(rd(ld(X0,ld(X1,X1)),X2),X2)) = mult(rd(ld(X0,X0),X1),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f31,f89]) ).
fof(f96,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(paramodulation,[status(thm)],[f43,f31]) ).
fof(f105,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),rd(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f41,f31]) ).
fof(f106,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f41,f105]) ).
fof(f130,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X0,X2))) = mult(mult(X0,mult(X0,ld(X0,X2))),ld(mult(X0,X2),mult(X0,X2))),
inference(paramodulation,[status(thm)],[f12,f54]) ).
fof(f131,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X0)),X1) = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f29,f130]) ).
fof(f132,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f35,f131]) ).
fof(f148,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(paramodulation,[status(thm)],[f54,f12]) ).
fof(f187,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X0,ld(X0,X0)),mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
inference(paramodulation,[status(thm)],[f35,f48]) ).
fof(f188,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
inference(forward_demodulation,[status(thm)],[f35,f187]) ).
fof(f192,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,ld(X0,mult(X0,X1))),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(paramodulation,[status(thm)],[f12,f48]) ).
fof(f193,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,mult(X0,ld(X0,X1))),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f12,f192]) ).
fof(f194,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,mult(X0,ld(X0,X1))),mult(X2,X3))) = mult(X0,ld(X0,mult(X2,X3))),
inference(forward_demodulation,[status(thm)],[f188,f193]) ).
fof(f283,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = mult(mult(X0,ld(X0,ld(X2,X2))),X2),
inference(paramodulation,[status(thm)],[f43,f48]) ).
fof(f284,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(mult(X0,ld(X0,ld(X2,X2))),X2),
inference(forward_demodulation,[status(thm)],[f188,f283]) ).
fof(f285,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,mult(ld(X2,X2),X2))),
inference(forward_demodulation,[status(thm)],[f188,f284]) ).
fof(f286,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f43,f285]) ).
fof(f327,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(X2,ld(X2,X2)))),
inference(backward_demodulation,[status(thm)],[f188,f54]) ).
fof(f328,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f35,f327]) ).
fof(f376,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(X1,X1))))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(backward_demodulation,[status(thm)],[f188,f148]) ).
fof(f377,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(forward_demodulation,[status(thm)],[f286,f376]) ).
fof(f378,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f328,f377]) ).
fof(f427,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(X0,ld(X0,ld(ld(X0,X1),ld(X0,X1)))),
inference(paramodulation,[status(thm)],[f38,f328]) ).
fof(f428,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(X0,ld(X0,X1))),
inference(paramodulation,[status(thm)],[f35,f328]) ).
fof(f436,plain,
! [X0,X1,X2] : mult(ld(X0,X1),mult(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f12,f328]) ).
fof(f437,plain,
! [X0,X1,X2] : mult(ld(X0,X1),mult(X0,ld(X0,X2))) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f328,f436]) ).
fof(f444,plain,
! [X0,X1,X2] : mult(rd(rd(ld(ld(X0,X1),ld(X0,X1)),X2),X2),X2) = rd(mult(X0,ld(X0,ld(X2,X2))),X2),
inference(paramodulation,[status(thm)],[f328,f74]) ).
fof(f445,plain,
! [X0,X1,X2] : mult(rd(rd(ld(ld(X0,X1),ld(X0,X1)),X2),X2),X2) = mult(rd(rd(ld(X0,X0),X2),X2),X2),
inference(forward_demodulation,[status(thm)],[f74,f444]) ).
fof(f454,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(backward_demodulation,[status(thm)],[f427,f70]) ).
fof(f472,plain,
! [X0,X1,X2] : ld(ld(X0,X1),X2) = mult(X0,ld(X0,ld(ld(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f328,f428]) ).
fof(f499,plain,
! [X0,X1] : mult(rd(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = rd(mult(X0,ld(X0,ld(X1,X1))),ld(X1,X1)),
inference(paramodulation,[status(thm)],[f454,f74]) ).
fof(f577,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),rd(mult(X1,X2),X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(paramodulation,[status(thm)],[f13,f96]) ).
fof(f578,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[status(thm)],[f13,f577]) ).
fof(f611,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = mult(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(paramodulation,[status(thm)],[f41,f96]) ).
fof(f612,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = mult(ld(X0,X0),X0),
inference(forward_demodulation,[status(thm)],[f43,f611]) ).
fof(f613,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f43,f612]) ).
fof(f629,plain,
! [X0,X1] : mult(X0,mult(rd(X1,mult(X0,X1)),mult(X0,X1))) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f31,f613]) ).
fof(f644,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),rd(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f41,f613]) ).
fof(f645,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f41,f644]) ).
fof(f646,plain,
! [X0] : rd(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f42,f645]) ).
fof(f695,plain,
! [X0,X1] : mult(rd(X0,rd(X1,ld(X0,X0))),rd(X1,ld(X0,X0))) = mult(ld(X0,X0),mult(X0,ld(X0,X0))),
inference(paramodulation,[status(thm)],[f646,f96]) ).
fof(f696,plain,
! [X0,X1] : mult(rd(X0,rd(X1,ld(X0,X0))),rd(X1,ld(X0,X0))) = mult(X0,ld(X0,mult(ld(X0,X0),X0))),
inference(forward_demodulation,[status(thm)],[f437,f695]) ).
fof(f697,plain,
! [X0,X1] : mult(rd(X0,rd(X1,ld(X0,X0))),rd(X1,ld(X0,X0))) = mult(X0,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f43,f696]) ).
fof(f698,plain,
! [X0,X1] : mult(rd(X0,rd(X1,ld(X0,X0))),rd(X1,ld(X0,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f35,f697]) ).
fof(f703,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),rd(X2,ld(X2,X2))),X2) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(paramodulation,[status(thm)],[f646,f31]) ).
fof(f704,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f646,f703]) ).
fof(f806,plain,
! [X0,X1] : mult(rd(X0,mult(rd(X1,mult(X0,X1)),mult(X0,X1))),mult(rd(X1,mult(X0,X1)),mult(X0,X1))) = rd(mult(X0,X1),mult(rd(X1,mult(X0,X1)),mult(X0,X1))),
inference(paramodulation,[status(thm)],[f629,f13]) ).
fof(f807,plain,
! [X0,X1] : mult(ld(X0,X0),mult(rd(X0,mult(X0,X1)),mult(X0,X1))) = rd(mult(X0,X1),mult(rd(X1,mult(X0,X1)),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f578,f806]) ).
fof(f808,plain,
! [X0,X1] : mult(X0,ld(X0,mult(rd(X1,mult(X0,X1)),mult(X0,X1)))) = ld(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f629,f12]) ).
fof(f809,plain,
! [X0,X1] : mult(X0,ld(X0,mult(rd(X1,mult(X0,X1)),mult(X0,X1)))) = mult(X0,ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f12,f808]) ).
fof(f883,plain,
! [X0,X1] : mult(rd(X0,mult(rd(rd(ld(X1,X1),ld(X0,X0)),ld(X0,X0)),ld(X0,X0))),rd(mult(X1,ld(X1,ld(ld(X0,X0),ld(X0,X0)))),ld(X0,X0))) = X0,
inference(paramodulation,[status(thm)],[f74,f698]) ).
fof(f884,plain,
! [X0,X1] : mult(rd(X0,rd(mult(X1,ld(X1,ld(X0,X0))),ld(X0,X0))),rd(mult(X1,ld(X1,ld(ld(X0,X0),ld(X0,X0)))),ld(X0,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f499,f883]) ).
fof(f885,plain,
! [X0,X1] : mult(rd(X0,rd(mult(X1,ld(X1,ld(X0,X0))),ld(X0,X0))),mult(rd(rd(ld(X1,X1),ld(X0,X0)),ld(X0,X0)),ld(X0,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f74,f884]) ).
fof(f886,plain,
! [X0,X1] : mult(rd(mult(rd(X0,rd(mult(X1,ld(X1,ld(X0,X0))),ld(X0,X0))),rd(ld(X1,X1),ld(X0,X0))),X0),X0) = X0,
inference(forward_demodulation,[status(thm)],[f704,f885]) ).
fof(f1152,plain,
! [X0,X1] : mult(X0,rd(X1,X0)) = mult(X0,mult(rd(rd(X1,X0),X0),X0)),
inference(paramodulation,[status(thm)],[f613,f86]) ).
fof(f1288,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(mult(rd(X1,X2),X2),X3),X3)) = mult(rd(mult(X0,X1),ld(X2,X2)),mult(rd(rd(X2,X2),X3),X3)),
inference(paramodulation,[status(thm)],[f41,f88]) ).
fof(f1289,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(mult(rd(X1,X2),X2),X3),X3)) = mult(rd(mult(X0,X1),ld(X2,X2)),mult(rd(ld(X2,X2),X3),X3)),
inference(forward_demodulation,[status(thm)],[f41,f1288]) ).
fof(f1290,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(mult(rd(X1,X2),X2),X3),X3)) = mult(rd(mult(X0,X1),ld(X2,X2)),mult(X2,ld(X2,ld(X3,X3)))),
inference(forward_demodulation,[status(thm)],[f46,f1289]) ).
fof(f1388,plain,
! [X0,X1] : mult(rd(X0,mult(rd(rd(X1,X0),X0),X0)),mult(rd(rd(X1,X0),X0),X0)) = rd(mult(X0,rd(X1,X0)),mult(rd(rd(X1,X0),X0),X0)),
inference(paramodulation,[status(thm)],[f1152,f13]) ).
fof(f1389,plain,
! [X0,X1] : mult(ld(X0,X0),mult(rd(X0,X0),X0)) = rd(mult(X0,rd(X1,X0)),mult(rd(rd(X1,X0),X0),X0)),
inference(forward_demodulation,[status(thm)],[f578,f1388]) ).
fof(f1390,plain,
! [X0,X1] : mult(ld(X0,X0),mult(ld(X0,X0),X0)) = rd(mult(X0,rd(X1,X0)),mult(rd(rd(X1,X0),X0),X0)),
inference(forward_demodulation,[status(thm)],[f41,f1389]) ).
fof(f1391,plain,
! [X0,X1] : mult(ld(X0,X0),X0) = rd(mult(X0,rd(X1,X0)),mult(rd(rd(X1,X0),X0),X0)),
inference(forward_demodulation,[status(thm)],[f43,f1390]) ).
fof(f1392,plain,
! [X0,X1] : X0 = rd(mult(X0,rd(X1,X0)),mult(rd(rd(X1,X0),X0),X0)),
inference(forward_demodulation,[status(thm)],[f43,f1391]) ).
fof(f1463,plain,
! [X0,X1,X2] : mult(mult(rd(X0,rd(mult(X1,rd(X2,X1)),mult(rd(rd(X2,X1),X1),X1))),rd(mult(X1,rd(X2,X1)),mult(rd(rd(X2,X1),X1),X1))),X1) = mult(X0,mult(rd(rd(mult(X1,rd(X2,X1)),mult(rd(rd(X2,X1),X1),X1)),mult(rd(rd(X2,X1),X1),X1)),mult(rd(rd(X2,X1),X1),X1))),
inference(paramodulation,[status(thm)],[f1392,f86]) ).
fof(f1464,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),rd(mult(X1,rd(X2,X1)),mult(rd(rd(X2,X1),X1),X1))),X1) = mult(X0,mult(rd(rd(mult(X1,rd(X2,X1)),mult(rd(rd(X2,X1),X1),X1)),mult(rd(rd(X2,X1),X1),X1)),mult(rd(rd(X2,X1),X1),X1))),
inference(forward_demodulation,[status(thm)],[f1392,f1463]) ).
fof(f1465,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(rd(mult(X1,rd(X2,X1)),mult(rd(rd(X2,X1),X1),X1)),mult(rd(rd(X2,X1),X1),X1)),mult(rd(rd(X2,X1),X1),X1))),
inference(forward_demodulation,[status(thm)],[f1392,f1464]) ).
fof(f1466,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(X1,mult(rd(rd(X2,X1),X1),X1)),mult(rd(rd(X2,X1),X1),X1))),
inference(forward_demodulation,[status(thm)],[f1392,f1465]) ).
fof(f1467,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(ld(X1,X1),mult(rd(X1,X1),X1))),
inference(forward_demodulation,[status(thm)],[f578,f1466]) ).
fof(f1468,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(ld(X1,X1),mult(ld(X1,X1),X1))),
inference(forward_demodulation,[status(thm)],[f41,f1467]) ).
fof(f1469,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(ld(X1,X1),X1)),
inference(forward_demodulation,[status(thm)],[f43,f1468]) ).
fof(f1470,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f43,f1469]) ).
fof(f1533,plain,
! [X0,X1,X2] : mult(X0,rd(X1,X2)) = mult(X0,mult(rd(rd(X1,X2),X2),X2)),
inference(backward_demodulation,[status(thm)],[f1470,f86]) ).
fof(f1552,plain,
! [X0,X1] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X0),X1),
inference(paramodulation,[status(thm)],[f46,f1470]) ).
fof(f1553,plain,
! [X0,X1] : mult(X0,ld(X0,mult(ld(X1,X1),X1))) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f188,f1552]) ).
fof(f1554,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f43,f1553]) ).
fof(f1583,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),ld(mult(rd(X0,X1),X1),X1)) = ld(mult(rd(X0,X1),X1),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f1470,f12]) ).
fof(f1606,plain,
! [X0,X1] : mult(X0,ld(X0,mult(rd(X0,mult(X0,X1)),mult(X0,X1)))) = rd(mult(X0,X1),mult(rd(X1,mult(X0,X1)),mult(X0,X1))),
inference(backward_demodulation,[status(thm)],[f1554,f807]) ).
fof(f1612,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(X0,ld(X0,mult(rd(X0,X2),X2))),
inference(backward_demodulation,[status(thm)],[f1554,f578]) ).
fof(f1624,plain,
! [X0,X1] : mult(X0,ld(X0,ld(ld(X0,X0),X1))) = mult(X0,ld(X0,X1)),
inference(paramodulation,[status(thm)],[f328,f1554]) ).
fof(f1625,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f472,f1624]) ).
fof(f1681,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,ld(X0,X1)),rd(X2,X3)),rd(X2,X3)) = mult(ld(X0,X0),mult(rd(X1,X3),X3)),
inference(paramodulation,[status(thm)],[f1554,f31]) ).
fof(f1682,plain,
! [X0,X1,X2] : mult(X0,mult(rd(ld(X0,X1),X2),X2)) = mult(ld(X0,X0),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f31,f1681]) ).
fof(f1683,plain,
! [X0,X1,X2] : mult(X0,mult(rd(ld(X0,X1),X2),X2)) = mult(X0,ld(X0,mult(rd(X1,X2),X2))),
inference(forward_demodulation,[status(thm)],[f1554,f1682]) ).
fof(f1684,plain,
! [X0,X1] : mult(rd(ld(X0,X0),X1),X1) = rd(mult(X0,ld(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f1554,f13]) ).
fof(f1685,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = rd(mult(X0,ld(X0,X1)),X1),
inference(forward_demodulation,[status(thm)],[f46,f1684]) ).
fof(f1712,plain,
! [X0,X1] : mult(X0,mult(rd(ld(X0,X0),mult(X0,X1)),mult(X0,X1))) = rd(mult(X0,X1),mult(rd(X1,mult(X0,X1)),mult(X0,X1))),
inference(backward_demodulation,[status(thm)],[f1683,f1606]) ).
fof(f1713,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,ld(mult(X0,X1),mult(X0,X1))))) = rd(mult(X0,X1),mult(rd(X1,mult(X0,X1)),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f46,f1712]) ).
fof(f1714,plain,
! [X0,X1] : mult(X0,mult(rd(ld(X0,X1),mult(X0,X1)),mult(X0,X1))) = mult(X0,ld(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1683,f809]) ).
fof(f1715,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(backward_demodulation,[status(thm)],[f1683,f1612]) ).
fof(f1716,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
inference(forward_demodulation,[status(thm)],[f46,f1715]) ).
fof(f1735,plain,
! [X0,X1] : mult(rd(mult(rd(X0,mult(X1,ld(X1,ld(ld(X0,X0),ld(X0,X0))))),rd(ld(X1,X1),ld(X0,X0))),X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f1685,f886]) ).
fof(f1736,plain,
! [X0,X1] : mult(rd(mult(rd(X0,mult(X1,ld(X1,ld(X0,X0)))),rd(ld(X1,X1),ld(X0,X0))),X0),X0) = X0,
inference(forward_demodulation,[status(thm)],[f454,f1735]) ).
fof(f1860,plain,
! [X0,X1] : mult(rd(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = rd(mult(X0,ld(X0,mult(X1,ld(X1,ld(X1,X1))))),ld(X1,X1)),
inference(paramodulation,[status(thm)],[f1625,f74]) ).
fof(f1861,plain,
! [X0,X1] : mult(rd(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = rd(mult(X0,ld(X0,ld(X1,X1))),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f428,f1860]) ).
fof(f1862,plain,
! [X0,X1] : mult(rd(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,ld(X0,ld(ld(X1,X1),ld(X1,X1)))),
inference(forward_demodulation,[status(thm)],[f1685,f1861]) ).
fof(f1863,plain,
! [X0,X1] : mult(rd(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,ld(X0,mult(X1,ld(X1,ld(X1,X1))))),
inference(forward_demodulation,[status(thm)],[f1625,f1862]) ).
fof(f1864,plain,
! [X0,X1] : mult(rd(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f428,f1863]) ).
fof(f1934,plain,
! [X0,X1,X2] : mult(X0,mult(rd(ld(X0,ld(mult(X1,X2),mult(X1,X2))),X2),X2)) = mult(rd(ld(X0,X0),mult(X1,X2)),mult(mult(rd(X1,X2),X2),X2)),
inference(paramodulation,[status(thm)],[f13,f90]) ).
fof(f1935,plain,
! [X0,X1,X2] : mult(X0,mult(rd(ld(X0,ld(mult(X1,X2),mult(X1,X2))),X2),X2)) = mult(rd(ld(X0,X0),mult(X1,X2)),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f1470,f1934]) ).
fof(f1936,plain,
! [X0,X1,X2] : mult(X0,mult(rd(ld(X0,ld(mult(X1,X2),mult(X1,X2))),X2),X2)) = mult(X0,ld(X0,ld(mult(X1,X2),mult(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f46,f1935]) ).
fof(f2046,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(rd(X1,X2),X2),X2)),mult(rd(rd(X1,X2),X2),X2)) = rd(mult(X0,rd(X1,X2)),mult(rd(rd(X1,X2),X2),X2)),
inference(paramodulation,[status(thm)],[f1533,f13]) ).
fof(f2047,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(rd(X1,X2),X2),X2)),rd(X1,X2)) = rd(mult(X0,rd(X1,X2)),mult(rd(rd(X1,X2),X2),X2)),
inference(forward_demodulation,[status(thm)],[f1533,f2046]) ).
fof(f2052,plain,
! [X0,X1] : X0 = mult(rd(X0,mult(rd(rd(X1,X0),X0),X0)),rd(X1,X0)),
inference(backward_demodulation,[status(thm)],[f2047,f1392]) ).
fof(f2106,plain,
! [X0,X1,X2,X3] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,mult(rd(rd(X3,X0),X0),X0)),mult(rd(rd(X3,X0),X2),X2)),
inference(paramodulation,[status(thm)],[f2052,f31]) ).
fof(f2135,plain,
! [X0,X1,X2] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(rd(X0,mult(rd(rd(X2,X0),X0),X0)),mult(rd(rd(X2,X0),X1),X1)),
inference(paramodulation,[status(thm)],[f2052,f106]) ).
fof(f2152,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),mult(X2,ld(X2,ld(X2,X2)))),ld(ld(X2,X2),ld(X2,X2))) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(paramodulation,[status(thm)],[f1625,f106]) ).
fof(f2153,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),ld(ld(X2,X2),ld(X2,X2))) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f428,f2152]) ).
fof(f2154,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),mult(X2,ld(X2,ld(X2,X2)))) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f1625,f2153]) ).
fof(f2155,plain,
! [X0,X1,X2] : mult(X0,mult(rd(mult(rd(X1,X2),X2),X2),X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f1290,f2154]) ).
fof(f2156,plain,
! [X0,X1,X2] : mult(X0,mult(mult(rd(rd(X1,X2),X2),X2),X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f13,f2155]) ).
fof(f2157,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f1470,f2156]) ).
fof(f2158,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(rd(mult(X0,X1),X2),X2),
inference(forward_demodulation,[status(thm)],[f704,f2157]) ).
fof(f2225,plain,
! [X0,X1] : mult(rd(X0,mult(X1,ld(X1,ld(X0,X0)))),mult(rd(rd(ld(X1,X1),ld(X0,X0)),X0),X0)) = X0,
inference(backward_demodulation,[status(thm)],[f2158,f1736]) ).
fof(f2298,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(rd(X1,X0),X0),X0)),mult(rd(rd(X1,X0),X2),X2)) = mult(rd(X0,X2),X2),
inference(paramodulation,[status(thm)],[f2052,f2158]) ).
fof(f2316,plain,
! [X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,X1),X1),
inference(paramodulation,[status(thm)],[f35,f2158]) ).
fof(f2317,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = mult(rd(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f46,f2316]) ).
fof(f2328,plain,
! [X0,X1,X2] : mult(mult(X0,mult(rd(X1,X2),X2)),X2) = mult(mult(X0,X1),X2),
inference(paramodulation,[status(thm)],[f2158,f1470]) ).
fof(f2356,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(rd(X0,X1),X1),
inference(backward_demodulation,[status(thm)],[f2298,f2135]) ).
fof(f2357,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
inference(backward_demodulation,[status(thm)],[f2298,f2106]) ).
fof(f2388,plain,
! [X0,X1] : mult(rd(X0,mult(X0,X1)),mult(X0,X1)) = rd(mult(X0,X1),mult(rd(X1,mult(X0,X1)),mult(X0,X1))),
inference(backward_demodulation,[status(thm)],[f2317,f1713]) ).
fof(f2400,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(rd(X0,X2),X2),
inference(backward_demodulation,[status(thm)],[f2317,f1716]) ).
fof(f2404,plain,
! [X0,X1] : mult(rd(rd(ld(X0,X0),ld(X1,X1)),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(backward_demodulation,[status(thm)],[f2356,f1864]) ).
fof(f2455,plain,
! [X0,X1] : mult(rd(X0,mult(X1,ld(X1,ld(X0,X0)))),mult(X1,ld(X1,ld(X0,X0)))) = X0,
inference(backward_demodulation,[status(thm)],[f2404,f2225]) ).
fof(f2485,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,ld(mult(rd(X1,X2),X2),mult(rd(X1,X2),X2)))),X2) = mult(mult(rd(ld(X0,X0),mult(rd(X1,X2),X2)),X1),X2),
inference(paramodulation,[status(thm)],[f46,f2328]) ).
fof(f2486,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(ld(mult(rd(X1,X2),X2),mult(rd(X1,X2),X2)),X2))) = mult(mult(rd(ld(X0,X0),mult(rd(X1,X2),X2)),X1),X2),
inference(forward_demodulation,[status(thm)],[f188,f2485]) ).
fof(f2487,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(mult(rd(X1,X2),X2),ld(mult(rd(X1,X2),X2),X2)))) = mult(mult(rd(ld(X0,X0),mult(rd(X1,X2),X2)),X1),X2),
inference(forward_demodulation,[status(thm)],[f1554,f2486]) ).
fof(f2488,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(mult(rd(X1,X2),X2),mult(X1,X2)))) = mult(mult(rd(ld(X0,X0),mult(rd(X1,X2),X2)),X1),X2),
inference(forward_demodulation,[status(thm)],[f1583,f2487]) ).
fof(f2494,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,ld(X1,ld(X2,X2)))),X2) = mult(mult(X0,ld(X1,X1)),X2),
inference(paramodulation,[status(thm)],[f46,f2328]) ).
fof(f2525,plain,
! [X0,X1,X2] : mult(mult(X0,mult(rd(X1,X2),X2)),ld(mult(X0,mult(rd(X1,X2),X2)),X2)) = ld(mult(X0,mult(rd(X1,X2),X2)),mult(mult(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f2328,f12]) ).
fof(f2617,plain,
! [X0,X1] : mult(ld(rd(X0,X1),rd(X0,X1)),rd(X0,X1)) = mult(rd(rd(X0,X1),X1),X1),
inference(paramodulation,[status(thm)],[f41,f2357]) ).
fof(f2618,plain,
! [X0,X1] : mult(rd(X0,X1),ld(rd(X0,X1),rd(X0,X1))) = mult(rd(rd(X0,X1),X1),X1),
inference(forward_demodulation,[status(thm)],[f1554,f2617]) ).
fof(f2619,plain,
! [X0,X1] : rd(X0,X1) = mult(rd(rd(X0,X1),X1),X1),
inference(forward_demodulation,[status(thm)],[f35,f2618]) ).
fof(f2665,plain,
! [X0,X1,X2] : rd(ld(ld(X0,X1),ld(X0,X1)),X2) = mult(rd(rd(ld(X0,X0),X2),X2),X2),
inference(backward_demodulation,[status(thm)],[f2619,f445]) ).
fof(f2666,plain,
! [X0,X1,X2] : rd(ld(ld(X0,X1),ld(X0,X1)),X2) = rd(ld(X0,X0),X2),
inference(forward_demodulation,[status(thm)],[f2619,f2665]) ).
fof(f2731,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = mult(rd(rd(X0,ld(X1,X1)),X1),X1),
inference(paramodulation,[status(thm)],[f2356,f2619]) ).
fof(f2965,plain,
! [X0,X1,X2] : mult(mult(X0,mult(rd(X1,X2),X2)),X2) = mult(mult(mult(X0,mult(rd(X1,X2),X2)),mult(mult(X0,mult(rd(X1,X2),X2)),ld(mult(X0,mult(rd(X1,X2),X2)),X2))),ld(mult(mult(X0,X1),X2),mult(mult(X0,mult(rd(X1,X2),X2)),X2))),
inference(paramodulation,[status(thm)],[f2328,f132]) ).
fof(f2966,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(mult(X0,mult(rd(X1,X2),X2)),mult(mult(X0,mult(rd(X1,X2),X2)),ld(mult(X0,mult(rd(X1,X2),X2)),X2))),ld(mult(mult(X0,X1),X2),mult(mult(X0,mult(rd(X1,X2),X2)),X2))),
inference(forward_demodulation,[status(thm)],[f2328,f2965]) ).
fof(f2967,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(mult(X0,mult(rd(X1,X2),X2)),ld(mult(X0,mult(rd(X1,X2),X2)),mult(mult(X0,X1),X2))),ld(mult(mult(X0,X1),X2),mult(mult(X0,mult(rd(X1,X2),X2)),X2))),
inference(forward_demodulation,[status(thm)],[f2525,f2966]) ).
fof(f2968,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(rd(X1,X2),X2)),ld(mult(X0,mult(rd(X1,X2),X2)),mult(mult(mult(X0,X1),X2),ld(mult(mult(X0,X1),X2),mult(mult(X0,mult(rd(X1,X2),X2)),X2))))),
inference(forward_demodulation,[status(thm)],[f188,f2967]) ).
fof(f2969,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(rd(X1,X2),X2)),ld(mult(X0,mult(rd(X1,X2),X2)),mult(mult(mult(X0,X1),X2),ld(mult(mult(X0,X1),X2),mult(mult(X0,X1),X2))))),
inference(forward_demodulation,[status(thm)],[f2328,f2968]) ).
fof(f2970,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(rd(X1,X2),X2)),ld(mult(X0,mult(rd(X1,X2),X2)),mult(mult(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f35,f2969]) ).
fof(f3185,plain,
! [X0,X1] : mult(rd(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))),ld(mult(X0,X1),mult(X0,X1))) = rd(mult(X0,X1),ld(mult(X0,X1),mult(X0,X1))),
inference(paramodulation,[status(thm)],[f132,f13]) ).
fof(f3186,plain,
! [X0,X1] : mult(X0,mult(rd(mult(X0,ld(X0,X1)),ld(mult(X0,X1),mult(X0,X1))),ld(mult(X0,X1),mult(X0,X1)))) = rd(mult(X0,X1),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f2158,f3185]) ).
fof(f3187,plain,
! [X0,X1] : mult(X0,mult(X0,mult(rd(ld(X0,X1),ld(mult(X0,X1),mult(X0,X1))),ld(mult(X0,X1),mult(X0,X1))))) = rd(mult(X0,X1),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f2158,f3186]) ).
fof(f3188,plain,
! [X0,X1] : mult(X0,mult(X0,mult(rd(ld(X0,X1),mult(X0,X1)),mult(X0,X1)))) = rd(mult(X0,X1),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f2356,f3187]) ).
fof(f3189,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = rd(mult(X0,X1),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1714,f3188]) ).
fof(f3190,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f646,f3189]) ).
fof(f3206,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,X1),X1),
inference(backward_demodulation,[status(thm)],[f3190,f2317]) ).
fof(f3211,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X2,X3))) = mult(X0,ld(X0,mult(X2,X3))),
inference(backward_demodulation,[status(thm)],[f3190,f194]) ).
fof(f3212,plain,
! [X0,X1,X2,X3] : mult(mult(X0,X1),ld(mult(X0,X1),mult(X2,X3))) = mult(X0,ld(X0,mult(X2,X3))),
inference(forward_demodulation,[status(thm)],[f3190,f3211]) ).
fof(f3214,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f3206,f2158]) ).
fof(f3215,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X2,X2))) = mult(mult(X0,X1),ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f3206,f3214]) ).
fof(f3229,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,ld(X2,X2))),X2) = mult(mult(X0,X1),X2),
inference(backward_demodulation,[status(thm)],[f3206,f2328]) ).
fof(f3230,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(X0,X1),
inference(backward_demodulation,[status(thm)],[f3206,f1470]) ).
fof(f3233,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = mult(rd(X0,ld(X1,X1)),ld(X1,X1)),
inference(backward_demodulation,[status(thm)],[f3206,f2731]) ).
fof(f3234,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = mult(rd(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f2356,f3233]) ).
fof(f3235,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f3206,f3234]) ).
fof(f3271,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,ld(mult(X1,X2),mult(X1,X2))),ld(X2,X2))) = mult(X0,ld(X0,ld(mult(X1,X2),mult(X1,X2)))),
inference(backward_demodulation,[status(thm)],[f3206,f1936]) ).
fof(f3289,plain,
! [X0,X1,X2] : mult(X0,ld(mult(rd(X1,X2),X2),mult(rd(X1,X2),X2))) = mult(rd(X0,X2),X2),
inference(backward_demodulation,[status(thm)],[f3206,f2400]) ).
fof(f3290,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(rd(X1,X2),X2))) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f3206,f3289]) ).
fof(f3291,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f3206,f3290]) ).
fof(f3292,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f3206,f3291]) ).
fof(f3299,plain,
! [X0,X1] : mult(X0,ld(mult(X1,ld(X1,ld(X0,X0))),mult(X1,ld(X1,ld(X0,X0))))) = X0,
inference(backward_demodulation,[status(thm)],[f3206,f2455]) ).
fof(f3300,plain,
! [X0,X1] : mult(X0,mult(X1,ld(X1,ld(ld(X0,X0),ld(X0,X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f378,f3299]) ).
fof(f3301,plain,
! [X0,X1] : mult(X0,mult(X1,ld(X1,mult(X0,ld(X0,ld(X0,X0)))))) = X0,
inference(forward_demodulation,[status(thm)],[f1625,f3300]) ).
fof(f3302,plain,
! [X0,X1] : mult(X0,mult(X1,ld(X1,ld(X0,X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f428,f3301]) ).
fof(f3303,plain,
! [X0,X1] : mult(rd(X0,mult(X0,X1)),mult(X0,X1)) = rd(mult(X0,X1),mult(X1,ld(mult(X0,X1),mult(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f3206,f2388]) ).
fof(f3304,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,X1))) = rd(mult(X0,X1),mult(X1,ld(mult(X0,X1),mult(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f3206,f3303]) ).
fof(f3311,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(rd(X1,X2),X2)),ld(mult(X0,mult(X1,ld(X2,X2))),mult(mult(X0,X1),X2))),
inference(backward_demodulation,[status(thm)],[f3206,f2970]) ).
fof(f3312,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,ld(X2,X2))),ld(mult(X0,mult(X1,ld(X2,X2))),mult(mult(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f3206,f3311]) ).
fof(f3313,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(X0,ld(X0,mult(mult(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f3212,f3312]) ).
fof(f3379,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(mult(rd(X1,X2),X2),mult(X1,X2)))) = mult(mult(rd(ld(X0,X0),mult(X1,ld(X2,X2))),X1),X2),
inference(backward_demodulation,[status(thm)],[f3206,f2488]) ).
fof(f3380,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(mult(X1,ld(X2,X2)),mult(X1,X2)))) = mult(mult(rd(ld(X0,X0),mult(X1,ld(X2,X2))),X1),X2),
inference(forward_demodulation,[status(thm)],[f3206,f3379]) ).
fof(f3574,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),X1)) = ld(mult(X0,ld(X1,X1)),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f3230,f12]) ).
fof(f3668,plain,
! [X0,X1,X2] : rd(ld(mult(X0,ld(X0,X1)),ld(ld(X0,X0),X1)),X2) = rd(ld(ld(X0,X0),ld(X0,X0)),X2),
inference(paramodulation,[status(thm)],[f1625,f2666]) ).
fof(f3669,plain,
! [X0,X1,X2] : rd(ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),X2) = rd(ld(ld(X0,X0),ld(X0,X0)),X2),
inference(forward_demodulation,[status(thm)],[f1625,f3668]) ).
fof(f3670,plain,
! [X0,X1,X2] : rd(mult(X0,ld(X0,ld(X1,X1))),X2) = rd(ld(ld(X0,X0),ld(X0,X0)),X2),
inference(forward_demodulation,[status(thm)],[f378,f3669]) ).
fof(f3671,plain,
! [X0,X1,X2] : rd(mult(X0,ld(X0,ld(X1,X1))),X2) = rd(ld(X0,X0),X2),
inference(forward_demodulation,[status(thm)],[f2666,f3670]) ).
fof(f3777,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,X1),ld(X2,X2))) = mult(X0,ld(X0,mult(X1,ld(X2,X2)))),
inference(paramodulation,[status(thm)],[f188,f3215]) ).
fof(f3802,plain,
! [X0,X1,X2] : mult(X0,mult(mult(X1,ld(X1,ld(X0,X0))),ld(X2,X2))) = mult(X0,ld(X2,X2)),
inference(paramodulation,[status(thm)],[f3302,f3215]) ).
fof(f3803,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X1,mult(ld(X0,X0),ld(X2,X2))))) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f188,f3802]) ).
fof(f3804,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(ld(X1,ld(X0,X0)),ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f3777,f3803]) ).
fof(f4205,plain,
! [X0,X1,X2] : mult(mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))),X2) = mult(mult(rd(X0,mult(X1,ld(X2,X2))),X1),X2),
inference(paramodulation,[status(thm)],[f3206,f3229]) ).
fof(f4206,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X1,X1)),X1) = mult(mult(rd(X0,mult(X2,ld(X1,X1))),X2),X1),
inference(forward_demodulation,[status(thm)],[f3292,f4205]) ).
fof(f4207,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(mult(rd(X0,mult(X2,ld(X1,X1))),X2),X1),
inference(forward_demodulation,[status(thm)],[f3230,f4206]) ).
fof(f4289,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(mult(X1,ld(X2,X2)),mult(X1,X2)))) = mult(ld(X0,X0),X2),
inference(backward_demodulation,[status(thm)],[f4207,f3380]) ).
fof(f4290,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(mult(X1,ld(X2,X2)),mult(X1,X2)))) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1554,f4289]) ).
fof(f4380,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(mult(X0,X1),ld(mult(X0,X1),X2))) = mult(X0,ld(X0,ld(mult(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f428,f3313]) ).
fof(f4381,plain,
! [X0,X1,X2] : ld(mult(X0,X1),X2) = mult(X0,ld(X0,ld(mult(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f428,f4380]) ).
fof(f4473,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(mult(X0,ld(X0,mult(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
inference(paramodulation,[status(thm)],[f3313,f286]) ).
fof(f4474,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(mult(X0,mult(X0,ld(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f12,f4473]) ).
fof(f4475,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f3190,f4474]) ).
fof(f4491,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(X1,ld(mult(X0,ld(X0,ld(X1,X1))),X2))))) = mult(X0,ld(X0,X2)),
inference(paramodulation,[status(thm)],[f1554,f286]) ).
fof(f4614,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2))))) = ld(X0,mult(X0,ld(X0,X2))),
inference(paramodulation,[status(thm)],[f286,f12]) ).
fof(f4615,plain,
! [X0,X1,X2] : ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2))) = ld(X0,mult(X0,ld(X0,X2))),
inference(forward_demodulation,[status(thm)],[f428,f4614]) ).
fof(f4616,plain,
! [X0,X1,X2] : ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2))) = mult(X0,ld(X0,ld(X0,X2))),
inference(forward_demodulation,[status(thm)],[f12,f4615]) ).
fof(f4617,plain,
! [X0,X1,X2] : ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2))) = ld(X0,X2),
inference(forward_demodulation,[status(thm)],[f428,f4616]) ).
fof(f4621,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(mult(X0,ld(X1,X1)),mult(X0,X1)),
inference(backward_demodulation,[status(thm)],[f4475,f3574]) ).
fof(f4636,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(X1,X2)))) = mult(X0,ld(X0,X2)),
inference(backward_demodulation,[status(thm)],[f4621,f4290]) ).
fof(f4639,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(mult(X0,ld(X0,ld(X1,X1))),X2))) = mult(X0,ld(X0,X2)),
inference(backward_demodulation,[status(thm)],[f4636,f4491]) ).
fof(f4640,plain,
! [X0,X1,X2] : ld(mult(X0,ld(X0,ld(X1,X1))),X2) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f4381,f4639]) ).
fof(f5214,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,ld(X1,X1))),ld(X2,X2)) = rd(ld(X0,X0),ld(X2,X2)),
inference(paramodulation,[status(thm)],[f3235,f3671]) ).
fof(f5215,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(ld(X1,X1),ld(X2,X2)))) = rd(ld(X0,X0),ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f188,f5214]) ).
fof(f5216,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,ld(X1,X1)),ld(X2,X2))) = rd(ld(X0,X0),ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f3777,f5215]) ).
fof(f5217,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,ld(X1,X1)),ld(X2,X2))) = mult(ld(X0,X0),ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f3235,f5216]) ).
fof(f5218,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,ld(X1,X1)),ld(X2,X2))) = mult(X0,ld(X0,ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f1554,f5217]) ).
fof(f5284,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(X1,X1))) = mult(X0,ld(X0,ld(mult(X2,X1),mult(X2,X1)))),
inference(backward_demodulation,[status(thm)],[f5218,f3271]) ).
fof(f5285,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X1,ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f5218,f3804]) ).
fof(f5327,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,ld(X2,X2)),X1),
inference(backward_demodulation,[status(thm)],[f5285,f2494]) ).
fof(f5328,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(mult(X0,ld(X2,X2)),X1),
inference(forward_demodulation,[status(thm)],[f3230,f5327]) ).
fof(f6935,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f4381,f5284]) ).
fof(f7352,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,X1))) = rd(mult(X0,X1),mult(X1,mult(X0,ld(X0,ld(X1,X1))))),
inference(backward_demodulation,[status(thm)],[f6935,f3304]) ).
fof(f7353,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = rd(mult(X0,X1),mult(X1,mult(X0,ld(X0,ld(X1,X1))))),
inference(forward_demodulation,[status(thm)],[f6935,f7352]) ).
fof(f7354,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = rd(mult(X0,X1),mult(X1,mult(X0,ld(X0,ld(X1,X1))))),
inference(forward_demodulation,[status(thm)],[f3190,f7353]) ).
fof(f7355,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = rd(mult(X0,X1),mult(X1,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f5285,f7354]) ).
fof(f7356,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = rd(mult(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f35,f7355]) ).
fof(f10474,plain,
! [X0,X1,X2] : ld(X0,mult(X1,ld(X1,ld(mult(X0,ld(X0,ld(X1,X1))),X2)))) = ld(X0,X2),
inference(paramodulation,[status(thm)],[f1554,f4617]) ).
fof(f10475,plain,
! [X0,X1,X2] : ld(X0,mult(X1,ld(X1,mult(X0,ld(X0,X2))))) = ld(X0,X2),
inference(forward_demodulation,[status(thm)],[f4640,f10474]) ).
fof(f10476,plain,
! [X0,X1,X2] : ld(X0,mult(X1,ld(X1,X2))) = ld(X0,X2),
inference(forward_demodulation,[status(thm)],[f4636,f10475]) ).
fof(f10921,plain,
! [X0,X1,X2] : mult(X0,mult(X0,ld(X0,X1))) = mult(X0,mult(X2,ld(X2,X1))),
inference(paramodulation,[status(thm)],[f10476,f3190]) ).
fof(f10922,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[status(thm)],[f3190,f10921]) ).
fof(f11030,plain,
( mult(sk0_0,sk0_2) != mult(sk0_0,sk0_2)
| spl0_0 ),
inference(backward_demodulation,[status(thm)],[f10922,f34]) ).
fof(f11031,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f11030]) ).
fof(f11032,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f11031]) ).
fof(f11033,plain,
( mult(mult(sk0_3,ld(sk0_4,sk0_4)),sk0_5) != mult(sk0_3,sk0_5)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f7356,f26]) ).
fof(f11034,plain,
( mult(sk0_3,sk0_5) != mult(sk0_3,sk0_5)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5328,f11033]) ).
fof(f11035,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f11034]) ).
fof(f11036,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f11035]) ).
fof(f11037,plain,
$false,
inference(sat_refutation,[status(thm)],[f27,f11032,f11036]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : GRP683+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:27:55 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 1.75/0.63 % Refutation found
% 1.75/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.75/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.32/0.66 % Elapsed time: 0.393363 seconds
% 2.32/0.66 % CPU time: 2.423180 seconds
% 2.32/0.66 % Memory used: 73.769 MB
%------------------------------------------------------------------------------