TSTP Solution File: GRP682-11 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP682-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n002.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 : Thu Aug 31 01:29:19 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 8
% Syntax : Number of formulae : 269 ( 269 unt; 0 def)
% Number of atoms : 269 ( 268 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 693 (; 693 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8211,plain,
$false,
inference(trivial_inequality_removal,[],[f8210]) ).
fof(f8210,plain,
mult(x0,ld(x0,x2)) != mult(x0,ld(x0,x2)),
inference(backward_demodulation,[],[f11,f8198]) ).
fof(f8198,plain,
! [X21,X22,X20] : mult(X20,ld(X20,X22)) = mult(rd(X20,X21),ld(rd(X20,X21),X22)),
inference(forward_demodulation,[],[f8197,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815',f03) ).
fof(f8197,plain,
! [X21,X22,X20] : ld(X20,mult(X20,X22)) = mult(rd(X20,X21),ld(rd(X20,X21),X22)),
inference(forward_demodulation,[],[f8196,f897]) ).
fof(f897,plain,
! [X6,X7] : ld(X6,X7) = mult(ld(X6,X6),ld(X6,X7)),
inference(forward_demodulation,[],[f872,f723]) ).
fof(f723,plain,
! [X6,X5] : mult(ld(X5,X5),X6) = mult(X5,ld(X5,X6)),
inference(backward_demodulation,[],[f541,f717]) ).
fof(f717,plain,
! [X12,X13] : mult(mult(X13,ld(X13,ld(X12,X12))),X12) = mult(X13,ld(X13,X12)),
inference(backward_demodulation,[],[f55,f715]) ).
fof(f715,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(backward_demodulation,[],[f308,f714]) ).
fof(f714,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = mult(X1,mult(ld(X1,X0),ld(X0,X0))),
inference(forward_demodulation,[],[f683,f278]) ).
fof(f278,plain,
! [X3,X0,X1] : mult(mult(X0,X1),ld(X3,X3)) = mult(X0,mult(X1,ld(X3,X3))),
inference(backward_demodulation,[],[f123,f275]) ).
fof(f275,plain,
! [X8,X9] : mult(rd(X9,X8),X8) = mult(X9,ld(X8,X8)),
inference(forward_demodulation,[],[f251,f265]) ).
fof(f265,plain,
! [X2,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(ld(X1,X1),ld(X1,X1))),
inference(backward_demodulation,[],[f248,f249]) ).
fof(f249,plain,
! [X3,X4,X5] : mult(X5,ld(ld(X4,X4),ld(X4,X4))) = mult(rd(X5,mult(X3,X4)),mult(X3,X4)),
inference(superposition,[],[f122,f178]) ).
fof(f178,plain,
! [X10,X9] : mult(X9,X10) = rd(mult(X9,X10),ld(X10,X10)),
inference(forward_demodulation,[],[f177,f27]) ).
fof(f27,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[],[f12,f24]) ).
fof(f24,plain,
! [X1] : ld(X1,X1) = rd(X1,X1),
inference(forward_demodulation,[],[f23,f19]) ).
fof(f19,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3,f10]) ).
fof(f10,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(backward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815',f01) ).
fof(f23,plain,
! [X1] : rd(X1,X1) = mult(X1,ld(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f22,f14]) ).
fof(f14,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f13,f3]) ).
fof(f13,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815',f04) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815',f07) ).
fof(f22,plain,
! [X1] : rd(X1,X1) = mult(rd(rd(X1,X1),X1),X1),
inference(superposition,[],[f4,f12]) ).
fof(f12,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(backward_demodulation,[],[f2,f4]) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815',f02) ).
fof(f177,plain,
! [X10,X9] : rd(mult(X9,X10),ld(X10,X10)) = mult(X9,mult(ld(X10,X10),X10)),
inference(forward_demodulation,[],[f176,f24]) ).
fof(f176,plain,
! [X10,X9] : rd(mult(X9,X10),ld(X10,X10)) = mult(X9,mult(rd(X10,X10),X10)),
inference(forward_demodulation,[],[f167,f85]) ).
fof(f85,plain,
! [X6,X4,X5] : mult(X5,mult(rd(X6,X4),X4)) = mult(rd(mult(X5,X6),ld(X4,X4)),ld(X4,X4)),
inference(superposition,[],[f18,f24]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(forward_demodulation,[],[f17,f4]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815',f06) ).
fof(f167,plain,
! [X10,X9] : rd(mult(X9,X10),ld(X10,X10)) = mult(rd(mult(X9,X10),ld(X10,X10)),ld(X10,X10)),
inference(superposition,[],[f4,f146]) ).
fof(f146,plain,
! [X3,X4] : mult(X4,X3) = mult(mult(X4,X3),ld(X3,X3)),
inference(forward_demodulation,[],[f134,f27]) ).
fof(f134,plain,
! [X3,X4] : mult(mult(X4,X3),ld(X3,X3)) = mult(X4,mult(ld(X3,X3),X3)),
inference(superposition,[],[f123,f24]) ).
fof(f122,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(backward_demodulation,[],[f89,f121]) ).
fof(f121,plain,
! [X16,X15] : mult(X15,ld(X16,X16)) = mult(X15,mult(X15,ld(X15,ld(X16,X16)))),
inference(forward_demodulation,[],[f120,f10]) ).
fof(f120,plain,
! [X16,X15] : mult(X15,ld(X16,X16)) = mult(mult(X15,ld(X15,X15)),mult(mult(X15,ld(X15,X15)),ld(mult(X15,ld(X15,X15)),ld(X16,X16)))),
inference(forward_demodulation,[],[f119,f10]) ).
fof(f119,plain,
! [X16,X15] : mult(X15,ld(X16,X16)) = mult(mult(mult(X15,ld(X15,X15)),ld(X15,X15)),mult(mult(mult(X15,ld(X15,X15)),ld(X15,X15)),ld(mult(mult(X15,ld(X15,X15)),ld(X15,X15)),ld(X16,X16)))),
inference(forward_demodulation,[],[f118,f51]) ).
fof(f51,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,X0)),ld(X0,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(superposition,[],[f16,f10]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
inference(forward_demodulation,[],[f15,f3]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f5,f3]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815',f05) ).
fof(f118,plain,
! [X16,X15] : mult(X15,ld(X16,X16)) = mult(mult(ld(X15,X15),ld(ld(X15,X15),X15)),mult(mult(ld(X15,X15),ld(ld(X15,X15),X15)),ld(mult(ld(X15,X15),ld(ld(X15,X15),X15)),ld(X16,X16)))),
inference(forward_demodulation,[],[f117,f90]) ).
fof(f90,plain,
! [X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(mult(X0,X1),mult(mult(X0,X1),ld(mult(X0,X1),ld(X3,X3)))),
inference(backward_demodulation,[],[f18,f89]) ).
fof(f117,plain,
! [X16,X15] : mult(ld(X15,X15),mult(rd(ld(ld(X15,X15),X15),X16),X16)) = mult(X15,ld(X16,X16)),
inference(forward_demodulation,[],[f116,f10]) ).
fof(f116,plain,
! [X16,X15] : mult(ld(X15,X15),mult(rd(ld(ld(X15,X15),X15),X16),X16)) = mult(mult(X15,ld(X15,X15)),ld(X16,X16)),
inference(forward_demodulation,[],[f115,f10]) ).
fof(f115,plain,
! [X16,X15] : mult(ld(X15,X15),mult(rd(ld(ld(X15,X15),X15),X16),X16)) = mult(mult(mult(X15,ld(X15,X15)),ld(X15,X15)),ld(X16,X16)),
inference(forward_demodulation,[],[f114,f51]) ).
fof(f114,plain,
! [X16,X15] : mult(ld(X15,X15),mult(rd(ld(ld(X15,X15),X15),X16),X16)) = mult(mult(ld(X15,X15),ld(ld(X15,X15),X15)),ld(X16,X16)),
inference(forward_demodulation,[],[f113,f19]) ).
fof(f113,plain,
! [X16,X15] : mult(ld(X15,X15),mult(rd(ld(ld(X15,X15),X15),X16),X16)) = mult(mult(mult(X15,ld(X15,ld(X15,X15))),ld(ld(X15,X15),X15)),ld(X16,X16)),
inference(forward_demodulation,[],[f112,f56]) ).
fof(f56,plain,
! [X16,X17,X15] : mult(mult(X16,ld(X16,ld(X15,X15))),ld(ld(X15,X15),X15)) = mult(ld(X16,X17),ld(ld(X16,X17),ld(ld(X15,X15),X15))),
inference(superposition,[],[f16,f25]) ).
fof(f25,plain,
! [X1] : ld(ld(X1,X1),X1) = mult(ld(X1,X1),ld(ld(X1,X1),X1)),
inference(backward_demodulation,[],[f20,f24]) ).
fof(f20,plain,
! [X1] : ld(rd(X1,X1),X1) = mult(rd(X1,X1),ld(rd(X1,X1),X1)),
inference(superposition,[],[f3,f12]) ).
fof(f112,plain,
! [X16,X15] : mult(ld(X15,X15),mult(rd(ld(ld(X15,X15),X15),X16),X16)) = mult(mult(ld(X15,X15),ld(ld(X15,X15),ld(ld(X15,X15),X15))),ld(X16,X16)),
inference(forward_demodulation,[],[f111,f60]) ).
fof(f60,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,ld(X0,X1))),X2) = mult(ld(X0,X1),mult(ld(X0,X1),ld(ld(X0,X1),X2))),
inference(superposition,[],[f16,f3]) ).
fof(f111,plain,
! [X16,X15] : mult(ld(X15,X15),mult(rd(ld(ld(X15,X15),X15),X16),X16)) = mult(ld(ld(X15,X15),X15),mult(ld(ld(X15,X15),X15),ld(ld(ld(X15,X15),X15),ld(X16,X16)))),
inference(forward_demodulation,[],[f78,f89]) ).
fof(f78,plain,
! [X16,X17,X15] : mult(ld(X15,X15),mult(rd(ld(ld(X15,X15),X15),X16),X16)) = mult(rd(ld(ld(X15,X15),X15),rd(X17,X16)),rd(X17,X16)),
inference(superposition,[],[f18,f25]) ).
fof(f89,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X2,X1)),rd(X2,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f73,f26]) ).
fof(f26,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(backward_demodulation,[],[f14,f24]) ).
fof(f73,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[],[f18,f10]) ).
fof(f248,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(rd(X2,mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)),
inference(superposition,[],[f122,f4]) ).
fof(f251,plain,
! [X8,X9] : mult(X9,ld(ld(X8,X8),ld(X8,X8))) = mult(rd(X9,X8),X8),
inference(superposition,[],[f122,f213]) ).
fof(f213,plain,
! [X15] : rd(X15,ld(X15,X15)) = X15,
inference(superposition,[],[f178,f27]) ).
fof(f123,plain,
! [X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(mult(X0,X1),ld(X3,X3)),
inference(backward_demodulation,[],[f90,f121]) ).
fof(f683,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = mult(mult(X1,ld(X1,X0)),ld(X0,X0)),
inference(superposition,[],[f434,f10]) ).
fof(f434,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(backward_demodulation,[],[f72,f433]) ).
fof(f433,plain,
! [X14,X12,X13] : mult(mult(ld(X12,X12),ld(ld(X12,X12),X13)),X14) = mult(mult(X12,ld(X12,X13)),X14),
inference(forward_demodulation,[],[f413,f16]) ).
fof(f413,plain,
! [X14,X12,X13] : mult(mult(ld(X12,X12),ld(ld(X12,X12),X13)),X14) = mult(ld(X12,X12),ld(ld(X12,X12),mult(X13,X14))),
inference(superposition,[],[f16,f364]) ).
fof(f364,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f363,f24]) ).
fof(f363,plain,
! [X0] : ld(X0,X0) = rd(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f359,f10]) ).
fof(f359,plain,
! [X0] : rd(ld(X0,X0),ld(X0,X0)) = mult(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f276,f357]) ).
fof(f357,plain,
! [X4] : ld(X4,X4) = mult(ld(X4,X4),ld(X4,X4)),
inference(forward_demodulation,[],[f352,f24]) ).
fof(f352,plain,
! [X4] : rd(X4,X4) = mult(ld(X4,X4),ld(X4,X4)),
inference(superposition,[],[f276,f27]) ).
fof(f276,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(backward_demodulation,[],[f4,f275]) ).
fof(f72,plain,
! [X2,X0,X1] : mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[],[f16,f69]) ).
fof(f69,plain,
! [X1] : ld(ld(X1,X1),ld(ld(X1,X1),X1)) = X1,
inference(forward_demodulation,[],[f68,f10]) ).
fof(f68,plain,
! [X1] : ld(ld(X1,X1),ld(ld(X1,X1),X1)) = mult(X1,ld(X1,X1)),
inference(forward_demodulation,[],[f67,f10]) ).
fof(f67,plain,
! [X1] : ld(ld(X1,X1),ld(ld(X1,X1),X1)) = mult(mult(X1,ld(X1,X1)),ld(X1,X1)),
inference(forward_demodulation,[],[f66,f51]) ).
fof(f66,plain,
! [X1] : mult(ld(X1,X1),ld(ld(X1,X1),X1)) = ld(ld(X1,X1),ld(ld(X1,X1),X1)),
inference(forward_demodulation,[],[f65,f19]) ).
fof(f65,plain,
! [X1] : ld(ld(X1,X1),ld(ld(X1,X1),X1)) = mult(mult(X1,ld(X1,ld(X1,X1))),ld(ld(X1,X1),X1)),
inference(backward_demodulation,[],[f43,f56]) ).
fof(f43,plain,
! [X1] : ld(ld(X1,X1),ld(ld(X1,X1),X1)) = mult(ld(X1,X1),ld(ld(X1,X1),ld(ld(X1,X1),X1))),
inference(superposition,[],[f3,f25]) ).
fof(f308,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,mult(ld(X1,X0),ld(X0,X0))),
inference(backward_demodulation,[],[f51,f278]) ).
fof(f55,plain,
! [X14,X12,X13] : mult(mult(X13,ld(X13,ld(X12,X12))),X12) = mult(ld(X13,X14),ld(ld(X13,X14),X12)),
inference(superposition,[],[f16,f27]) ).
fof(f541,plain,
! [X6,X5] : mult(ld(X5,X5),X6) = mult(mult(X5,ld(X5,ld(X6,X6))),X6),
inference(superposition,[],[f459,f294]) ).
fof(f294,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(ld(X0,X0),ld(X1,X1)),
inference(backward_demodulation,[],[f26,f275]) ).
fof(f459,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f458,f10]) ).
fof(f458,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(X0,mult(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f453,f278]) ).
fof(f453,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(superposition,[],[f275,f276]) ).
fof(f872,plain,
! [X6,X7] : ld(X6,X7) = mult(X6,ld(X6,ld(X6,X7))),
inference(superposition,[],[f715,f10]) ).
fof(f8196,plain,
! [X21,X22,X20] : mult(ld(X20,X20),ld(X20,mult(X20,X22))) = mult(rd(X20,X21),ld(rd(X20,X21),X22)),
inference(forward_demodulation,[],[f8195,f6472]) ).
fof(f6472,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(mult(X0,X1),ld(mult(X0,X1),X2)),
inference(forward_demodulation,[],[f6471,f3]) ).
fof(f6471,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = ld(mult(X0,X1),mult(mult(X0,X1),X2)),
inference(forward_demodulation,[],[f6359,f3113]) ).
fof(f3113,plain,
! [X2,X3,X4] : mult(X4,X3) = mult(X4,mult(X2,ld(X2,X3))),
inference(superposition,[],[f2897,f723]) ).
fof(f2897,plain,
! [X14,X15,X13] : mult(X13,mult(ld(X14,X14),X15)) = mult(X13,X15),
inference(forward_demodulation,[],[f2896,f896]) ).
fof(f896,plain,
! [X2,X3,X4] : mult(ld(X2,X3),X4) = mult(ld(X2,X2),mult(ld(X2,X3),X4)),
inference(forward_demodulation,[],[f895,f797]) ).
fof(f797,plain,
! [X3,X4,X5] : mult(mult(X3,ld(X3,X4)),X5) = mult(ld(X3,X3),mult(X4,X5)),
inference(superposition,[],[f723,f434]) ).
fof(f895,plain,
! [X2,X3,X4] : mult(ld(X2,X3),X4) = mult(mult(X2,ld(X2,ld(X2,X3))),X4),
inference(forward_demodulation,[],[f894,f434]) ).
fof(f894,plain,
! [X2,X3,X4] : mult(ld(X2,X3),X4) = mult(X2,ld(X2,mult(ld(X2,X3),X4))),
inference(forward_demodulation,[],[f871,f760]) ).
fof(f760,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f700,f10]) ).
fof(f700,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X0)),X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(superposition,[],[f434,f3]) ).
fof(f871,plain,
! [X2,X3,X4] : mult(X2,ld(X2,mult(ld(X2,X3),X4))) = mult(ld(X2,X3),mult(ld(X2,X3),ld(ld(X2,X3),X4))),
inference(superposition,[],[f715,f3]) ).
fof(f2896,plain,
! [X14,X15,X13] : mult(X13,X15) = mult(X13,mult(ld(X14,X14),mult(ld(X14,X14),X15))),
inference(forward_demodulation,[],[f2895,f797]) ).
fof(f2895,plain,
! [X14,X15,X13] : mult(X13,X15) = mult(X13,mult(mult(X14,ld(X14,ld(X14,X14))),X15)),
inference(forward_demodulation,[],[f2894,f380]) ).
fof(f380,plain,
! [X3,X4] : mult(mult(X4,ld(X4,X3)),ld(X3,ld(X3,X3))) = mult(X4,ld(X4,ld(X3,X3))),
inference(backward_demodulation,[],[f52,f379]) ).
fof(f379,plain,
! [X2,X3,X4] : mult(X3,ld(X3,ld(X2,X2))) = mult(ld(X3,X4),ld(ld(X3,X4),ld(X2,X2))),
inference(forward_demodulation,[],[f378,f310]) ).
fof(f310,plain,
! [X18,X19] : mult(X18,ld(X18,ld(X19,X19))) = mult(X18,mult(ld(X18,ld(X19,X19)),ld(X19,X19))),
inference(backward_demodulation,[],[f161,f278]) ).
fof(f161,plain,
! [X18,X19] : mult(X18,ld(X18,ld(X19,X19))) = mult(mult(X18,ld(X18,ld(X19,X19))),ld(X19,X19)),
inference(superposition,[],[f146,f26]) ).
fof(f378,plain,
! [X2,X3,X4] : mult(ld(X3,X4),ld(ld(X3,X4),ld(X2,X2))) = mult(X3,mult(ld(X3,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[],[f361,f278]) ).
fof(f361,plain,
! [X2,X3,X4] : mult(mult(X3,ld(X3,ld(X2,X2))),ld(X2,X2)) = mult(ld(X3,X4),ld(ld(X3,X4),ld(X2,X2))),
inference(superposition,[],[f16,f357]) ).
fof(f52,plain,
! [X3,X4,X5] : mult(mult(X4,ld(X4,X3)),ld(X3,ld(X3,X3))) = mult(ld(X4,X5),ld(ld(X4,X5),ld(X3,X3))),
inference(superposition,[],[f16,f19]) ).
fof(f2894,plain,
! [X14,X15,X13] : mult(X13,X15) = mult(X13,mult(mult(mult(X14,ld(X14,X14)),ld(X14,ld(X14,X14))),X15)),
inference(forward_demodulation,[],[f2893,f1747]) ).
fof(f1747,plain,
! [X26,X27] : ld(ld(X26,X27),ld(X26,X27)) = mult(mult(X26,ld(X26,X27)),ld(X27,ld(X27,X27))),
inference(forward_demodulation,[],[f1746,f715]) ).
fof(f1746,plain,
! [X26,X27] : ld(ld(X26,X27),ld(X26,X27)) = mult(mult(ld(X26,X27),ld(ld(X26,X27),X27)),ld(X27,ld(X27,X27))),
inference(forward_demodulation,[],[f1729,f380]) ).
fof(f1729,plain,
! [X26,X27] : ld(ld(X26,X27),ld(X26,X27)) = mult(ld(X26,X27),ld(ld(X26,X27),ld(X27,X27))),
inference(superposition,[],[f3,f1689]) ).
fof(f1689,plain,
! [X14,X13] : ld(X13,X14) = mult(ld(X13,X14),ld(X14,X14)),
inference(forward_demodulation,[],[f1688,f896]) ).
fof(f1688,plain,
! [X14,X13] : ld(X13,X14) = mult(ld(X13,X13),mult(ld(X13,X14),ld(X14,X14))),
inference(forward_demodulation,[],[f1687,f797]) ).
fof(f1687,plain,
! [X14,X13] : ld(X13,X14) = mult(mult(X13,ld(X13,ld(X13,X14))),ld(X14,X14)),
inference(forward_demodulation,[],[f1686,f434]) ).
fof(f1686,plain,
! [X14,X13] : ld(X13,X14) = mult(X13,ld(X13,mult(ld(X13,X14),ld(X14,X14)))),
inference(forward_demodulation,[],[f1685,f897]) ).
fof(f1685,plain,
! [X14,X13] : mult(X13,ld(X13,mult(ld(X13,X14),ld(X14,X14)))) = mult(ld(X13,X13),ld(X13,X14)),
inference(forward_demodulation,[],[f1684,f723]) ).
fof(f1684,plain,
! [X14,X13] : mult(X13,ld(X13,mult(ld(X13,X14),ld(X14,X14)))) = mult(X13,ld(X13,ld(X13,X14))),
inference(forward_demodulation,[],[f1656,f3]) ).
fof(f1656,plain,
! [X14,X13] : mult(X13,ld(X13,mult(ld(X13,X14),ld(X14,X14)))) = ld(X13,mult(X13,ld(X13,X14))),
inference(superposition,[],[f3,f714]) ).
fof(f2893,plain,
! [X14,X15,X13] : mult(X13,X15) = mult(X13,mult(ld(ld(X14,X14),ld(X14,X14)),X15)),
inference(forward_demodulation,[],[f2892,f2107]) ).
fof(f2107,plain,
! [X14,X12,X13] : mult(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = mult(X12,mult(ld(X13,X13),X14)),
inference(forward_demodulation,[],[f2106,f896]) ).
fof(f2106,plain,
! [X14,X12,X13] : mult(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = mult(X12,mult(ld(X13,X13),mult(ld(X13,X13),X14))),
inference(forward_demodulation,[],[f2105,f797]) ).
fof(f2105,plain,
! [X14,X12,X13] : mult(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = mult(X12,mult(mult(X13,ld(X13,ld(X13,X13))),X14)),
inference(forward_demodulation,[],[f2104,f2089]) ).
fof(f2089,plain,
! [X8,X6,X9,X7] : mult(X6,mult(mult(mult(X6,ld(X6,X7)),X8),X9)) = mult(X6,mult(mult(X7,X8),X9)),
inference(forward_demodulation,[],[f2054,f780]) ).
fof(f780,plain,
! [X6,X7,X5] : mult(X5,mult(X6,X7)) = mult(X5,mult(mult(X5,ld(X5,X6)),X7)),
inference(superposition,[],[f760,f434]) ).
fof(f2054,plain,
! [X8,X6,X9,X7] : mult(X6,mult(mult(mult(X6,ld(X6,X7)),X8),X9)) = mult(X6,mult(mult(X6,ld(X6,mult(X7,X8))),X9)),
inference(superposition,[],[f780,f899]) ).
fof(f899,plain,
! [X18,X19,X20] : ld(X18,mult(X19,X20)) = ld(X18,mult(mult(X18,ld(X18,X19)),X20)),
inference(backward_demodulation,[],[f767,f897]) ).
fof(f767,plain,
! [X18,X19,X20] : ld(X18,mult(mult(X18,ld(X18,X19)),X20)) = mult(ld(X18,X18),ld(X18,mult(X19,X20))),
inference(forward_demodulation,[],[f711,f723]) ).
fof(f711,plain,
! [X18,X19,X20] : mult(X18,ld(X18,ld(X18,mult(X19,X20)))) = ld(X18,mult(mult(X18,ld(X18,X19)),X20)),
inference(superposition,[],[f3,f434]) ).
fof(f2104,plain,
! [X14,X12,X13] : mult(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = mult(X12,mult(mult(mult(X12,ld(X12,X13)),ld(X13,ld(X13,X13))),X14)),
inference(forward_demodulation,[],[f2103,f1747]) ).
fof(f2103,plain,
! [X14,X12,X13] : mult(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = mult(X12,mult(ld(ld(X12,X13),ld(X12,X13)),X14)),
inference(forward_demodulation,[],[f2102,f2088]) ).
fof(f2088,plain,
! [X3,X4,X5] : mult(X3,mult(mult(ld(X3,X3),X4),X5)) = mult(X3,mult(X4,X5)),
inference(forward_demodulation,[],[f2053,f780]) ).
fof(f2053,plain,
! [X3,X4,X5] : mult(X3,mult(mult(ld(X3,X3),X4),X5)) = mult(X3,mult(mult(X3,ld(X3,X4)),X5)),
inference(superposition,[],[f780,f898]) ).
fof(f898,plain,
! [X26,X25] : ld(X25,X26) = ld(X25,mult(ld(X25,X25),X26)),
inference(backward_demodulation,[],[f829,f897]) ).
fof(f829,plain,
! [X26,X25] : ld(X25,mult(ld(X25,X25),X26)) = mult(ld(X25,X25),ld(X25,X26)),
inference(forward_demodulation,[],[f818,f723]) ).
fof(f818,plain,
! [X26,X25] : mult(X25,ld(X25,ld(X25,X26))) = ld(X25,mult(ld(X25,X25),X26)),
inference(superposition,[],[f3,f723]) ).
fof(f2102,plain,
! [X14,X12,X13] : mult(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = mult(X12,mult(mult(ld(X12,X12),ld(ld(X12,X13),ld(X12,X13))),X14)),
inference(forward_demodulation,[],[f2066,f991]) ).
fof(f991,plain,
! [X10,X11] : mult(ld(X10,X10),ld(X11,X11)) = ld(mult(X10,X11),mult(X10,X11)),
inference(forward_demodulation,[],[f990,f297]) ).
fof(f297,plain,
! [X3,X4,X5] : mult(X5,ld(X4,X4)) = mult(X5,ld(mult(X3,X4),mult(X3,X4))),
inference(backward_demodulation,[],[f268,f275]) ).
fof(f268,plain,
! [X3,X4,X5] : mult(rd(X5,mult(X3,X4)),mult(X3,X4)) = mult(X5,ld(X4,X4)),
inference(backward_demodulation,[],[f249,f265]) ).
fof(f990,plain,
! [X10,X11] : ld(mult(X10,X11),mult(X10,X11)) = mult(ld(X10,X10),ld(mult(X10,X11),mult(X10,X11))),
inference(forward_demodulation,[],[f964,f24]) ).
fof(f964,plain,
! [X10,X11] : mult(ld(X10,X10),ld(mult(X10,X11),mult(X10,X11))) = rd(mult(X10,X11),mult(X10,X11)),
inference(superposition,[],[f276,f820]) ).
fof(f820,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(X0,X0),mult(X0,X1)),
inference(forward_demodulation,[],[f796,f760]) ).
fof(f796,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(ld(X0,X0),mult(X0,X1)),
inference(superposition,[],[f723,f3]) ).
fof(f2066,plain,
! [X14,X12,X13] : mult(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = mult(X12,mult(ld(mult(X12,ld(X12,X13)),mult(X12,ld(X12,X13))),X14)),
inference(superposition,[],[f780,f723]) ).
fof(f2892,plain,
! [X14,X15,X13] : mult(X13,X15) = mult(X13,mult(ld(X14,X14),ld(mult(X13,ld(X13,ld(X14,X14))),X15))),
inference(forward_demodulation,[],[f2847,f780]) ).
fof(f2847,plain,
! [X14,X15,X13] : mult(X13,X15) = mult(X13,mult(mult(X13,ld(X13,ld(X14,X14))),ld(mult(X13,ld(X13,ld(X14,X14))),X15))),
inference(superposition,[],[f881,f2733]) ).
fof(f2733,plain,
! [X8,X9] : ld(mult(X8,ld(X8,ld(X9,X9))),X8) = X8,
inference(forward_demodulation,[],[f2732,f10]) ).
fof(f2732,plain,
! [X8,X9] : mult(X8,ld(X8,X8)) = ld(mult(X8,ld(X8,ld(X9,X9))),X8),
inference(forward_demodulation,[],[f2701,f867]) ).
fof(f867,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)),
inference(superposition,[],[f715,f3]) ).
fof(f2701,plain,
! [X8,X9] : ld(mult(X8,ld(X8,ld(X9,X9))),X8) = mult(mult(X8,ld(X8,ld(X9,X9))),ld(mult(X8,ld(X8,ld(X9,X9))),X8)),
inference(superposition,[],[f3,f2619]) ).
fof(f2619,plain,
! [X32,X33] : mult(mult(X32,ld(X32,ld(X33,X33))),X32) = X32,
inference(forward_demodulation,[],[f2618,f10]) ).
fof(f2618,plain,
! [X32,X33] : mult(X32,ld(X32,X32)) = mult(mult(X32,ld(X32,ld(X33,X33))),X32),
inference(forward_demodulation,[],[f2617,f715]) ).
fof(f2617,plain,
! [X32,X33] : mult(ld(X32,X32),ld(ld(X32,X32),X32)) = mult(mult(X32,ld(X32,ld(X33,X33))),X32),
inference(forward_demodulation,[],[f2616,f511]) ).
fof(f511,plain,
! [X8,X9,X7] : mult(mult(X7,X8),X9) = mult(mult(X7,mult(X8,ld(X9,X9))),X9),
inference(superposition,[],[f459,f278]) ).
fof(f2616,plain,
! [X32,X33] : mult(ld(X32,X32),ld(ld(X32,X32),X32)) = mult(mult(X32,mult(ld(X32,ld(X33,X33)),ld(X32,X32))),X32),
inference(forward_demodulation,[],[f2615,f2126]) ).
fof(f2126,plain,
! [X28,X26,X27] : mult(X26,mult(X27,X28)) = mult(X26,mult(X27,mult(X26,ld(X26,X28)))),
inference(forward_demodulation,[],[f2125,f867]) ).
fof(f2125,plain,
! [X28,X26,X27] : mult(X26,mult(X27,mult(mult(X26,ld(X26,X27)),ld(mult(X26,ld(X26,X27)),X28)))) = mult(X26,mult(X27,X28)),
inference(forward_demodulation,[],[f2071,f780]) ).
fof(f2071,plain,
! [X28,X26,X27] : mult(X26,mult(X27,mult(mult(X26,ld(X26,X27)),ld(mult(X26,ld(X26,X27)),X28)))) = mult(X26,mult(mult(X26,ld(X26,X27)),X28)),
inference(superposition,[],[f780,f760]) ).
fof(f2615,plain,
! [X32,X33] : mult(ld(X32,X32),ld(ld(X32,X32),X32)) = mult(mult(X32,mult(ld(X32,ld(X33,X33)),mult(X32,ld(X32,ld(X32,X32))))),X32),
inference(forward_demodulation,[],[f2614,f2134]) ).
fof(f2134,plain,
! [X40,X41,X42,X43] : mult(X40,mult(X41,mult(X42,X43))) = mult(X40,mult(X41,mult(mult(X40,ld(X40,X42)),X43))),
inference(forward_demodulation,[],[f2133,f867]) ).
fof(f2133,plain,
! [X40,X41,X42,X43] : mult(X40,mult(X41,mult(mult(mult(X40,ld(X40,X41)),ld(mult(X40,ld(X40,X41)),X42)),X43))) = mult(X40,mult(X41,mult(X42,X43))),
inference(forward_demodulation,[],[f2075,f780]) ).
fof(f2075,plain,
! [X40,X41,X42,X43] : mult(X40,mult(X41,mult(mult(mult(X40,ld(X40,X41)),ld(mult(X40,ld(X40,X41)),X42)),X43))) = mult(X40,mult(mult(X40,ld(X40,X41)),mult(X42,X43))),
inference(superposition,[],[f780,f780]) ).
fof(f2614,plain,
! [X32,X33] : mult(ld(X32,X32),ld(ld(X32,X32),X32)) = mult(mult(X32,mult(ld(X32,ld(X33,X33)),mult(mult(X32,ld(X32,X32)),ld(X32,ld(X32,X32))))),X32),
inference(forward_demodulation,[],[f2494,f1747]) ).
fof(f2494,plain,
! [X32,X33] : mult(ld(X32,X32),ld(ld(X32,X32),X32)) = mult(mult(X32,mult(ld(X32,ld(X33,X33)),ld(ld(X32,X32),ld(X32,X32)))),X32),
inference(superposition,[],[f717,f1002]) ).
fof(f1002,plain,
! [X26,X24,X25] : mult(X24,mult(ld(X24,ld(X25,X25)),ld(X26,X26))) = mult(ld(X24,X24),ld(X26,X26)),
inference(backward_demodulation,[],[f518,f993]) ).
fof(f993,plain,
! [X3,X4,X5] : mult(X5,ld(X4,X4)) = mult(X5,mult(ld(X3,X3),ld(X4,X4))),
inference(backward_demodulation,[],[f297,f991]) ).
fof(f518,plain,
! [X26,X24,X25] : mult(X24,mult(ld(X24,ld(X25,X25)),ld(X26,X26))) = mult(ld(X24,X24),mult(ld(X25,X25),ld(X26,X26))),
inference(backward_demodulation,[],[f315,f517]) ).
fof(f517,plain,
! [X24,X22,X23] : mult(rd(X22,X23),mult(X23,ld(X24,X24))) = mult(X22,mult(ld(X23,X23),ld(X24,X24))),
inference(forward_demodulation,[],[f504,f278]) ).
fof(f504,plain,
! [X24,X22,X23] : mult(rd(X22,X23),mult(X23,ld(X24,X24))) = mult(mult(X22,ld(X23,X23)),ld(X24,X24)),
inference(superposition,[],[f278,f275]) ).
fof(f315,plain,
! [X26,X24,X25] : mult(rd(ld(X24,X24),X25),mult(X25,ld(X26,X26))) = mult(X24,mult(ld(X24,ld(X25,X25)),ld(X26,X26))),
inference(forward_demodulation,[],[f279,f278]) ).
fof(f279,plain,
! [X26,X24,X25] : mult(mult(X24,ld(X24,ld(X25,X25))),ld(X26,X26)) = mult(rd(ld(X24,X24),X25),mult(X25,ld(X26,X26))),
inference(backward_demodulation,[],[f126,f275]) ).
fof(f126,plain,
! [X26,X24,X25] : mult(rd(ld(X24,X24),X25),mult(rd(X25,X26),X26)) = mult(mult(X24,ld(X24,ld(X25,X25))),ld(X26,X26)),
inference(forward_demodulation,[],[f80,f122]) ).
fof(f80,plain,
! [X26,X27,X24,X25] : mult(rd(ld(X24,X24),X25),mult(rd(X25,X26),X26)) = mult(rd(mult(X24,ld(X24,ld(X25,X25))),rd(X27,X26)),rd(X27,X26)),
inference(superposition,[],[f18,f26]) ).
fof(f881,plain,
! [X10,X11,X12] : mult(ld(X10,X11),X12) = mult(ld(X10,X11),mult(X10,ld(X10,X12))),
inference(superposition,[],[f760,f715]) ).
fof(f6359,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = ld(mult(X0,mult(X0,ld(X0,X1))),mult(mult(X0,X1),X2)),
inference(superposition,[],[f4515,f3]) ).
fof(f4515,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = ld(mult(X0,ld(X0,X1)),mult(X1,X2)),
inference(forward_demodulation,[],[f4414,f867]) ).
fof(f4414,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = ld(mult(X0,ld(X0,X1)),mult(X1,X2)),
inference(superposition,[],[f3023,f3]) ).
fof(f3023,plain,
! [X38,X36,X37,X35] : ld(X38,mult(mult(X35,ld(X35,X36)),X37)) = ld(X38,mult(X36,X37)),
inference(forward_demodulation,[],[f3022,f2939]) ).
fof(f2939,plain,
! [X2,X3,X4] : ld(X4,X3) = ld(X4,mult(X2,ld(X2,X3))),
inference(superposition,[],[f2911,f723]) ).
fof(f2911,plain,
! [X28,X29,X27] : ld(X27,X29) = ld(X27,mult(ld(X28,X28),X29)),
inference(forward_demodulation,[],[f2910,f2897]) ).
fof(f2910,plain,
! [X28,X29,X27] : ld(X27,X29) = ld(X27,mult(ld(X28,X28),mult(ld(X28,X28),X29))),
inference(forward_demodulation,[],[f2909,f797]) ).
fof(f2909,plain,
! [X28,X29,X27] : ld(X27,X29) = ld(X27,mult(mult(X28,ld(X28,ld(X28,X28))),X29)),
inference(forward_demodulation,[],[f2908,f380]) ).
fof(f2908,plain,
! [X28,X29,X27] : ld(X27,X29) = ld(X27,mult(mult(mult(X28,ld(X28,X28)),ld(X28,ld(X28,X28))),X29)),
inference(forward_demodulation,[],[f2907,f1747]) ).
fof(f2907,plain,
! [X28,X29,X27] : ld(X27,X29) = ld(X27,mult(ld(ld(X28,X28),ld(X28,X28)),X29)),
inference(forward_demodulation,[],[f2906,f1901]) ).
fof(f1901,plain,
! [X14,X12,X13] : ld(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = ld(X12,mult(ld(X13,X13),X14)),
inference(forward_demodulation,[],[f1900,f896]) ).
fof(f1900,plain,
! [X14,X12,X13] : ld(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = ld(X12,mult(ld(X13,X13),mult(ld(X13,X13),X14))),
inference(forward_demodulation,[],[f1899,f797]) ).
fof(f1899,plain,
! [X14,X12,X13] : ld(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = ld(X12,mult(mult(X13,ld(X13,ld(X13,X13))),X14)),
inference(forward_demodulation,[],[f1898,f1873]) ).
fof(f1873,plain,
! [X8,X6,X9,X7] : ld(X6,mult(mult(mult(X6,ld(X6,X7)),X8),X9)) = ld(X6,mult(mult(X7,X8),X9)),
inference(forward_demodulation,[],[f1840,f899]) ).
fof(f1840,plain,
! [X8,X6,X9,X7] : ld(X6,mult(mult(mult(X6,ld(X6,X7)),X8),X9)) = ld(X6,mult(mult(X6,ld(X6,mult(X7,X8))),X9)),
inference(superposition,[],[f899,f899]) ).
fof(f1898,plain,
! [X14,X12,X13] : ld(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = ld(X12,mult(mult(mult(X12,ld(X12,X13)),ld(X13,ld(X13,X13))),X14)),
inference(forward_demodulation,[],[f1897,f1747]) ).
fof(f1897,plain,
! [X14,X12,X13] : ld(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = ld(X12,mult(ld(ld(X12,X13),ld(X12,X13)),X14)),
inference(forward_demodulation,[],[f1896,f1872]) ).
fof(f1872,plain,
! [X3,X4,X5] : ld(X3,mult(X4,X5)) = ld(X3,mult(mult(ld(X3,X3),X4),X5)),
inference(forward_demodulation,[],[f1839,f899]) ).
fof(f1839,plain,
! [X3,X4,X5] : ld(X3,mult(mult(X3,ld(X3,X4)),X5)) = ld(X3,mult(mult(ld(X3,X3),X4),X5)),
inference(superposition,[],[f899,f898]) ).
fof(f1896,plain,
! [X14,X12,X13] : ld(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = ld(X12,mult(mult(ld(X12,X12),ld(ld(X12,X13),ld(X12,X13))),X14)),
inference(forward_demodulation,[],[f1852,f991]) ).
fof(f1852,plain,
! [X14,X12,X13] : ld(X12,mult(X13,ld(mult(X12,ld(X12,X13)),X14))) = ld(X12,mult(ld(mult(X12,ld(X12,X13)),mult(X12,ld(X12,X13))),X14)),
inference(superposition,[],[f899,f723]) ).
fof(f2906,plain,
! [X28,X29,X27] : ld(X27,X29) = ld(X27,mult(ld(X28,X28),ld(mult(X27,ld(X27,ld(X28,X28))),X29))),
inference(forward_demodulation,[],[f2852,f899]) ).
fof(f2852,plain,
! [X28,X29,X27] : ld(X27,X29) = ld(X27,mult(mult(X27,ld(X27,ld(X28,X28))),ld(mult(X27,ld(X27,ld(X28,X28))),X29))),
inference(superposition,[],[f921,f2733]) ).
fof(f921,plain,
! [X46,X47,X45] : ld(ld(X45,X46),X47) = ld(ld(X45,X46),mult(X45,ld(X45,X47))),
inference(forward_demodulation,[],[f920,f897]) ).
fof(f920,plain,
! [X46,X47,X45] : ld(ld(X45,X46),mult(X45,ld(X45,X47))) = mult(ld(ld(X45,X46),ld(X45,X46)),ld(ld(X45,X46),X47)),
inference(forward_demodulation,[],[f893,f723]) ).
fof(f893,plain,
! [X46,X47,X45] : mult(ld(X45,X46),ld(ld(X45,X46),ld(ld(X45,X46),X47))) = ld(ld(X45,X46),mult(X45,ld(X45,X47))),
inference(superposition,[],[f3,f715]) ).
fof(f3022,plain,
! [X38,X36,X37,X35] : ld(X38,mult(mult(X35,ld(X35,X36)),X37)) = ld(X38,mult(X35,ld(X35,mult(X36,X37)))),
inference(forward_demodulation,[],[f3021,f922]) ).
fof(f922,plain,
! [X16,X17] : mult(X16,ld(X16,X17)) = ld(ld(X16,X16),X17),
inference(backward_demodulation,[],[f822,f921]) ).
fof(f822,plain,
! [X16,X17] : mult(X16,ld(X16,X17)) = ld(ld(X16,X16),mult(X16,ld(X16,X17))),
inference(forward_demodulation,[],[f805,f715]) ).
fof(f805,plain,
! [X16,X17] : mult(ld(X16,X16),ld(ld(X16,X16),X17)) = ld(ld(X16,X16),mult(X16,ld(X16,X17))),
inference(superposition,[],[f3,f723]) ).
fof(f3021,plain,
! [X38,X36,X37,X35] : ld(X38,ld(ld(X35,X35),mult(X36,X37))) = ld(X38,mult(mult(X35,ld(X35,X36)),X37)),
inference(forward_demodulation,[],[f2946,f715]) ).
fof(f2946,plain,
! [X38,X36,X37,X35] : ld(X38,ld(ld(X35,X35),mult(X36,X37))) = ld(X38,mult(mult(ld(X35,X35),ld(ld(X35,X35),X36)),X37)),
inference(superposition,[],[f2911,f434]) ).
fof(f8195,plain,
! [X21,X22,X20] : mult(ld(X20,X20),ld(X20,mult(X20,X22))) = mult(mult(rd(X20,X21),ld(rd(X20,X21),X20)),ld(mult(rd(X20,X21),ld(rd(X20,X21),X20)),X22)),
inference(forward_demodulation,[],[f8194,f2897]) ).
fof(f8194,plain,
! [X21,X22,X20] : mult(mult(rd(X20,X21),ld(rd(X20,X21),X20)),ld(mult(rd(X20,X21),ld(rd(X20,X21),X20)),X22)) = mult(ld(X20,X20),mult(ld(X20,X20),ld(X20,mult(X20,X22)))),
inference(forward_demodulation,[],[f8193,f797]) ).
fof(f8193,plain,
! [X21,X22,X20] : mult(mult(rd(X20,X21),ld(rd(X20,X21),X20)),ld(mult(rd(X20,X21),ld(rd(X20,X21),X20)),X22)) = mult(mult(X20,ld(X20,ld(X20,X20))),ld(X20,mult(X20,X22))),
inference(forward_demodulation,[],[f8192,f8089]) ).
fof(f8089,plain,
! [X21,X24,X22,X23] : mult(mult(X21,ld(X21,X23)),X24) = mult(mult(rd(X21,X22),ld(rd(X21,X22),X23)),X24),
inference(forward_demodulation,[],[f8088,f6472]) ).
fof(f8088,plain,
! [X21,X24,X22,X23] : mult(mult(mult(rd(X21,X22),ld(rd(X21,X22),X21)),ld(mult(rd(X21,X22),ld(rd(X21,X22),X21)),X23)),X24) = mult(mult(X21,ld(X21,X23)),X24),
inference(forward_demodulation,[],[f8087,f434]) ).
fof(f8087,plain,
! [X21,X24,X22,X23] : mult(mult(mult(rd(X21,X22),ld(rd(X21,X22),X21)),ld(mult(rd(X21,X22),ld(rd(X21,X22),X21)),X23)),X24) = mult(X21,ld(X21,mult(X23,X24))),
inference(forward_demodulation,[],[f8086,f3113]) ).
fof(f8086,plain,
! [X21,X24,X22,X23] : mult(mult(mult(rd(X21,X22),ld(rd(X21,X22),X21)),ld(mult(rd(X21,X22),ld(rd(X21,X22),X21)),X23)),X24) = mult(X21,mult(rd(X21,X22),ld(rd(X21,X22),ld(X21,mult(X23,X24))))),
inference(forward_demodulation,[],[f7994,f6580]) ).
fof(f6580,plain,
! [X2,X3,X4] : mult(X4,ld(X4,ld(X2,X3))) = ld(mult(X4,ld(X4,X2)),X3),
inference(forward_demodulation,[],[f6377,f2911]) ).
fof(f6377,plain,
! [X2,X3,X4] : mult(X4,ld(X4,ld(X2,X3))) = ld(mult(X4,ld(X4,X2)),mult(ld(X2,X2),X3)),
inference(superposition,[],[f4515,f723]) ).
fof(f7994,plain,
! [X21,X24,X22,X23] : mult(mult(mult(rd(X21,X22),ld(rd(X21,X22),X21)),ld(mult(rd(X21,X22),ld(rd(X21,X22),X21)),X23)),X24) = mult(X21,ld(mult(rd(X21,X22),ld(rd(X21,X22),X21)),mult(X23,X24))),
inference(superposition,[],[f7014,f434]) ).
fof(f7014,plain,
! [X104,X102,X103] : mult(mult(rd(X102,X103),ld(rd(X102,X103),X102)),X104) = mult(X102,X104),
inference(forward_demodulation,[],[f7013,f5033]) ).
fof(f5033,plain,
! [X63,X61,X64] : mult(X64,X63) = mult(mult(X64,ld(X61,X61)),X63),
inference(forward_demodulation,[],[f5032,f511]) ).
fof(f5032,plain,
! [X63,X61,X64] : mult(X64,X63) = mult(mult(X64,mult(ld(X61,X61),ld(X63,X63))),X63),
inference(forward_demodulation,[],[f5031,f4697]) ).
fof(f4697,plain,
! [X11,X12] : mult(ld(X11,X11),ld(X12,X12)) = ld(mult(ld(X11,X11),X12),X12),
inference(forward_demodulation,[],[f4696,f1689]) ).
fof(f4696,plain,
! [X11,X12] : mult(ld(X11,X11),ld(X12,X12)) = mult(ld(mult(ld(X11,X11),X12),X12),ld(X12,X12)),
inference(forward_demodulation,[],[f4591,f276]) ).
fof(f4591,plain,
! [X11,X12] : mult(ld(mult(ld(X11,X11),X12),X12),ld(X12,X12)) = rd(mult(ld(X11,X11),X12),X12),
inference(superposition,[],[f276,f3066]) ).
fof(f3066,plain,
! [X10,X9] : mult(ld(X9,X9),X10) = mult(ld(mult(ld(X9,X9),X10),X10),X10),
inference(forward_demodulation,[],[f2963,f2897]) ).
fof(f2963,plain,
! [X10,X9] : mult(ld(X9,X9),X10) = mult(ld(mult(ld(X9,X9),X10),X10),mult(ld(X9,X9),X10)),
inference(superposition,[],[f27,f2911]) ).
fof(f5031,plain,
! [X63,X61,X64] : mult(X64,X63) = mult(mult(X64,ld(mult(ld(X61,X61),X63),X63)),X63),
inference(forward_demodulation,[],[f5030,f2897]) ).
fof(f5030,plain,
! [X62,X63,X61,X64] : mult(X64,X63) = mult(mult(X64,ld(mult(ld(X61,X61),mult(ld(X62,X62),X63)),X63)),X63),
inference(forward_demodulation,[],[f4756,f4790]) ).
fof(f4790,plain,
! [X51,X52,X53] : mult(mult(ld(X51,X51),X52),X53) = mult(ld(X51,X51),mult(X52,X53)),
inference(forward_demodulation,[],[f4708,f4765]) ).
fof(f4765,plain,
! [X10,X11,X12] : mult(ld(X10,X10),X11) = mult(mult(ld(X10,X10),ld(X12,X12)),X11),
inference(backward_demodulation,[],[f3132,f4764]) ).
fof(f4764,plain,
! [X24,X25,X23] : mult(ld(X23,X23),ld(X25,X25)) = mult(mult(ld(X23,X23),X24),ld(mult(ld(X23,X23),X24),ld(X25,X25))),
inference(forward_demodulation,[],[f4763,f2897]) ).
fof(f4763,plain,
! [X24,X25,X23] : mult(ld(X23,X23),mult(ld(X24,X24),ld(X25,X25))) = mult(mult(ld(X23,X23),X24),ld(mult(ld(X23,X23),X24),ld(X25,X25))),
inference(forward_demodulation,[],[f4699,f278]) ).
fof(f4699,plain,
! [X24,X25,X23] : mult(mult(ld(X23,X23),X24),ld(mult(ld(X23,X23),X24),ld(X25,X25))) = mult(mult(ld(X23,X23),ld(X24,X24)),ld(X25,X25)),
inference(backward_demodulation,[],[f2968,f4697]) ).
fof(f2968,plain,
! [X24,X25,X23] : mult(mult(ld(X23,X23),X24),ld(mult(ld(X23,X23),X24),ld(X25,X25))) = mult(ld(mult(ld(X23,X23),X24),X24),ld(X25,X25)),
inference(superposition,[],[f294,f2911]) ).
fof(f3132,plain,
! [X10,X11,X12] : mult(ld(X10,X10),X11) = mult(mult(mult(ld(X10,X10),X11),ld(mult(ld(X10,X10),X11),ld(X12,X12))),X11),
inference(superposition,[],[f2897,f2619]) ).
fof(f4708,plain,
! [X51,X52,X53] : mult(mult(ld(X51,X51),X52),X53) = mult(mult(ld(X51,X51),ld(X52,X52)),mult(X52,X53)),
inference(backward_demodulation,[],[f3082,f4697]) ).
fof(f3082,plain,
! [X51,X52,X53] : mult(mult(ld(X51,X51),X52),X53) = mult(ld(mult(ld(X51,X51),X52),X52),mult(X52,X53)),
inference(backward_demodulation,[],[f2977,f3079]) ).
fof(f3079,plain,
! [X113,X114,X115,X112] : mult(X112,mult(mult(ld(X113,X113),X114),X115)) = mult(X112,mult(X114,X115)),
inference(forward_demodulation,[],[f2996,f780]) ).
fof(f2996,plain,
! [X113,X114,X115,X112] : mult(X112,mult(mult(ld(X113,X113),X114),X115)) = mult(X112,mult(mult(X112,ld(X112,X114)),X115)),
inference(superposition,[],[f780,f2911]) ).
fof(f2977,plain,
! [X51,X52,X53] : mult(mult(ld(X51,X51),X52),X53) = mult(ld(mult(ld(X51,X51),X52),X52),mult(mult(ld(X51,X51),X52),X53)),
inference(superposition,[],[f820,f2911]) ).
fof(f4756,plain,
! [X62,X63,X61,X64] : mult(X64,X63) = mult(mult(X64,ld(mult(mult(ld(X61,X61),ld(X62,X62)),X63),X63)),X63),
inference(backward_demodulation,[],[f4366,f4697]) ).
fof(f4366,plain,
! [X62,X63,X61,X64] : mult(X64,X63) = mult(mult(X64,ld(mult(ld(mult(ld(X61,X61),X62),X62),X63),X63)),X63),
inference(forward_demodulation,[],[f4365,f3111]) ).
fof(f3111,plain,
! [X2,X3,X0,X1] : mult(X2,X3) = mult(X2,mult(ld(mult(ld(X0,X0),X1),X1),X3)),
inference(superposition,[],[f2897,f2911]) ).
fof(f4365,plain,
! [X62,X63,X61,X64] : mult(X64,mult(ld(mult(ld(X61,X61),X62),X62),X63)) = mult(mult(X64,ld(mult(ld(mult(ld(X61,X61),X62),X62),X63),X63)),X63),
inference(forward_demodulation,[],[f4209,f3111]) ).
fof(f4209,plain,
! [X62,X63,X61,X64] : mult(X64,mult(ld(mult(ld(X61,X61),X62),X62),X63)) = mult(mult(X64,ld(mult(ld(mult(ld(X61,X61),X62),X62),X63),X63)),mult(ld(mult(ld(X61,X61),X62),X62),X63)),
inference(superposition,[],[f459,f2937]) ).
fof(f2937,plain,
! [X2,X3,X0,X1] : ld(X2,X3) = ld(X2,mult(ld(mult(ld(X0,X0),X1),X1),X3)),
inference(superposition,[],[f2911,f2911]) ).
fof(f7013,plain,
! [X104,X102,X103] : mult(mult(X102,ld(X103,X103)),X104) = mult(mult(rd(X102,X103),ld(rd(X102,X103),X102)),X104),
inference(forward_demodulation,[],[f7012,f5033]) ).
fof(f7012,plain,
! [X104,X102,X103] : mult(mult(X102,ld(X103,X103)),X104) = mult(mult(mult(rd(X102,X103),ld(rd(X102,X103),X102)),ld(X103,X103)),X104),
inference(forward_demodulation,[],[f7011,f434]) ).
fof(f7011,plain,
! [X104,X102,X103] : mult(mult(X102,ld(X103,X103)),X104) = mult(mult(rd(X102,X103),ld(rd(X102,X103),mult(X102,ld(X103,X103)))),X104),
inference(forward_demodulation,[],[f6923,f797]) ).
fof(f6923,plain,
! [X104,X102,X103] : mult(mult(X102,ld(X103,X103)),X104) = mult(ld(rd(X102,X103),rd(X102,X103)),mult(mult(X102,ld(X103,X103)),X104)),
inference(superposition,[],[f6490,f275]) ).
fof(f6490,plain,
! [X2,X3,X4] : mult(mult(X2,X3),X4) = mult(ld(X2,X2),mult(mult(X2,X3),X4)),
inference(forward_demodulation,[],[f6489,f4790]) ).
fof(f6489,plain,
! [X2,X3,X4] : mult(mult(X2,X3),X4) = mult(mult(ld(X2,X2),mult(X2,X3)),X4),
inference(forward_demodulation,[],[f6488,f797]) ).
fof(f6488,plain,
! [X2,X3,X4] : mult(mult(X2,X3),X4) = mult(mult(mult(X2,ld(X2,X2)),X3),X4),
inference(forward_demodulation,[],[f6477,f6472]) ).
fof(f6477,plain,
! [X2,X3,X4] : mult(mult(X2,X3),X4) = mult(mult(mult(mult(X2,X3),ld(mult(X2,X3),X2)),X3),X4),
inference(backward_demodulation,[],[f1352,f6472]) ).
fof(f1352,plain,
! [X2,X3,X4] : mult(mult(X2,X3),X4) = mult(mult(mult(mult(mult(X2,X3),X4),ld(mult(mult(X2,X3),X4),X2)),X3),X4),
inference(superposition,[],[f732,f434]) ).
fof(f732,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),ld(mult(X0,X1),X0)),X1),
inference(backward_demodulation,[],[f61,f725]) ).
fof(f725,plain,
! [X1] : ld(ld(X1,X1),X1) = X1,
inference(forward_demodulation,[],[f722,f10]) ).
fof(f722,plain,
! [X1] : ld(ld(X1,X1),X1) = mult(X1,ld(X1,X1)),
inference(backward_demodulation,[],[f25,f715]) ).
fof(f61,plain,
! [X0,X1] : ld(ld(mult(X0,X1),mult(X0,X1)),mult(X0,X1)) = mult(mult(mult(X0,X1),ld(mult(X0,X1),X0)),X1),
inference(superposition,[],[f16,f25]) ).
fof(f8192,plain,
! [X21,X22,X20] : mult(mult(rd(X20,X21),ld(rd(X20,X21),X20)),ld(mult(rd(X20,X21),ld(rd(X20,X21),X20)),X22)) = mult(mult(rd(X20,X21),ld(rd(X20,X21),ld(X20,X20))),ld(X20,mult(X20,X22))),
inference(forward_demodulation,[],[f8191,f930]) ).
fof(f930,plain,
! [X10,X11,X9] : mult(mult(X11,ld(X11,ld(X9,X9))),ld(X9,X10)) = mult(X11,ld(X11,ld(X9,X10))),
inference(superposition,[],[f434,f897]) ).
fof(f8191,plain,
! [X21,X22,X20] : mult(mult(rd(X20,X21),ld(rd(X20,X21),X20)),ld(mult(rd(X20,X21),ld(rd(X20,X21),X20)),X22)) = mult(rd(X20,X21),ld(rd(X20,X21),ld(X20,mult(X20,X22)))),
inference(forward_demodulation,[],[f8009,f6580]) ).
fof(f8009,plain,
! [X21,X22,X20] : mult(mult(rd(X20,X21),ld(rd(X20,X21),X20)),ld(mult(rd(X20,X21),ld(rd(X20,X21),X20)),X22)) = ld(mult(rd(X20,X21),ld(rd(X20,X21),X20)),mult(X20,X22)),
inference(superposition,[],[f3,f7014]) ).
fof(f11,plain,
mult(x0,ld(x0,x2)) != mult(rd(x0,x1),ld(rd(x0,x1),x2)),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != mult(x0,ld(x0,x2)),
inference(backward_demodulation,[],[f8,f3]) ).
fof(f8,axiom,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
file('/export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP682-11 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 01:30:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.4JcYpq6sYs/Vampire---4.8_14815
% 0.14/0.36 % (14923)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14927)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.20/0.41 % (14928)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.20/0.41 % (14924)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.20/0.41 % (14926)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.20/0.42 % (14930)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.20/0.42 % (14929)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.20/0.45 % (14925)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.20/0.59 % (14927)First to succeed.
% 0.20/0.60 % (14927)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.60 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.60 % (14927)------------------------------
% 0.20/0.60 % (14927)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.60 % (14927)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.60 % (14927)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (14927)Memory used [KB]: 6268
% 0.20/0.60 % (14927)Time elapsed: 0.183 s
% 0.20/0.60 % (14927)------------------------------
% 0.20/0.60 % (14927)------------------------------
% 0.20/0.60 % (14923)Success in time 0.242 s
% 0.20/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------