%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP691-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:57 AM UTC 2026
% Result : Unsatisfiable 81.25s 14.20s
% Output : Refutation 95.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 102
% Number of leaves : 12
% Syntax : Number of formulae : 611 ( 611 unt; 0 def)
% Number of atoms : 611 ( 610 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 1067 (1067 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f12,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
mult(op_c,mult(op_c,op_c)) = op_d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f16,negated_conjecture,
mult(op_d,i(mult(a,op_d))) != i(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f21,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = mult(rd(mult(X0,X1),X0),unit),
inference(superposition,[],[f7,f12]) ).
fof(f22,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = mult(rd(unit,X0),mult(X0,X1)),
inference(superposition,[],[f7,f12]) ).
fof(f23,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,i(X0))),
inference(forward_demodulation,[],[f21,f5]) ).
fof(f24,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = mult(unit,ld(i(X0),mult(X1,i(X0)))),
inference(superposition,[],[f8,f12]) ).
fof(f34,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = ld(i(X0),mult(X1,i(X0))),
inference(forward_demodulation,[],[f24,f6]) ).
fof(f35,plain,
! [X0] : i(X0) = ld(X0,unit),
inference(superposition,[],[f2,f12]) ).
fof(f36,plain,
! [X2,X0,X1] : ld(X2,mult(X1,X2)) = ld(mult(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f8]) ).
fof(f55,plain,
! [X2,X0,X1] : mult(X1,mult(X2,ld(X1,X0))) = mult(rd(mult(X1,X2),X1),X0),
inference(superposition,[],[f7,f1]) ).
fof(f56,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = mult(rd(X0,X1),mult(X1,X2)),
inference(superposition,[],[f7,f1]) ).
fof(f65,plain,
! [X0] : ld(i(X0),unit) = X0,
inference(superposition,[],[f2,f10]) ).
fof(f66,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X1) = mult(mult(X0,X1),ld(X1,unit)),
inference(superposition,[],[f8,f10]) ).
fof(f67,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = mult(unit,ld(X0,mult(X1,X0))),
inference(superposition,[],[f8,f10]) ).
fof(f68,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = mult(rd(mult(i(X0),X1),i(X0)),unit),
inference(superposition,[],[f7,f10]) ).
fof(f71,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = rd(mult(i(X0),X1),i(X0)),
inference(forward_demodulation,[],[f68,f5]) ).
fof(f72,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(mult(i(X0),X1),X0),
inference(forward_demodulation,[],[f67,f6]) ).
fof(f73,plain,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = mult(mult(X0,i(X1)),X1),
inference(forward_demodulation,[],[f66,f35]) ).
fof(f74,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f65,f35]) ).
fof(f78,plain,
! [X0] : rd(unit,i(X0)) = mult(i(X0),mult(X0,X0)),
inference(superposition,[],[f71,f10]) ).
fof(f80,plain,
! [X0,X1] : mult(i(X1),mult(ld(i(X1),X0),X1)) = rd(X0,i(X1)),
inference(superposition,[],[f71,f1]) ).
fof(f85,plain,
! [X0] : mult(unit,X0) = mult(mult(X0,X0),i(X0)),
inference(superposition,[],[f73,f12]) ).
fof(f100,plain,
! [X0] : mult(mult(X0,X0),i(X0)) = X0,
inference(forward_demodulation,[],[f85,f6]) ).
fof(f140,plain,
! [X0] : i(X0) = ld(mult(X0,X0),X0),
inference(superposition,[],[f2,f100]) ).
fof(f156,plain,
! [X0] : mult(X0,i(X0)) = rd(mult(X0,unit),X0),
inference(superposition,[],[f23,f6]) ).
fof(f160,plain,
! [X0,X1] : mult(X1,i(X0)) = ld(X0,rd(mult(X0,X1),X0)),
inference(superposition,[],[f2,f23]) ).
fof(f179,plain,
! [X0] : mult(X0,i(X0)) = rd(X0,X0),
inference(forward_demodulation,[],[f156,f5]) ).
fof(f188,plain,
! [X0] : unit = rd(X0,X0),
inference(forward_demodulation,[],[f179,f12]) ).
fof(f206,plain,
! [X0] : mult(mult(X0,unit),i(X0)) = ld(i(X0),i(X0)),
inference(superposition,[],[f34,f6]) ).
fof(f211,plain,
! [X0,X1] : mult(X1,i(X0)) = mult(i(X0),mult(mult(X0,X1),i(X0))),
inference(superposition,[],[f1,f34]) ).
fof(f215,plain,
! [X0] : mult(X0,i(X0)) = ld(i(X0),i(X0)),
inference(forward_demodulation,[],[f206,f5]) ).
fof(f220,plain,
! [X0] : unit = ld(i(X0),i(X0)),
inference(forward_demodulation,[],[f215,f12]) ).
fof(f228,plain,
! [X0,X1] : mult(ld(X1,X0),i(X1)) = mult(i(X1),mult(X0,i(X1))),
inference(superposition,[],[f211,f1]) ).
fof(f290,plain,
! [X0] : ld(X0,mult(mult(X0,X0),X0)) = mult(rd(unit,i(X0)),X0),
inference(superposition,[],[f72,f78]) ).
fof(f347,plain,
! [X0] : unit = ld(X0,X0),
inference(superposition,[],[f220,f74]) ).
fof(f424,plain,
! [X2,X0,X1] : ld(X1,mult(ld(X2,X0),X1)) = ld(mult(X2,X1),mult(X0,X1)),
inference(superposition,[],[f36,f1]) ).
fof(f434,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = ld(mult(i(X1),X0),mult(unit,X0)),
inference(superposition,[],[f36,f10]) ).
fof(f455,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = ld(mult(i(X1),X0),X0),
inference(forward_demodulation,[],[f434,f6]) ).
fof(f485,plain,
! [X0,X1] : ld(i(X0),mult(ld(X1,X0),i(X0))) = ld(mult(X1,i(X0)),unit),
inference(superposition,[],[f424,f12]) ).
fof(f490,plain,
! [X0,X1] : ld(i(X0),mult(ld(X1,mult(X0,X0)),i(X0))) = ld(mult(X1,i(X0)),X0),
inference(superposition,[],[f424,f100]) ).
fof(f495,plain,
! [X0,X1] : ld(X0,mult(ld(X1,unit),X0)) = ld(mult(X1,X0),X0),
inference(superposition,[],[f424,f6]) ).
fof(f496,plain,
! [X0,X1] : ld(X0,mult(ld(X1,i(X0)),X0)) = ld(mult(X1,X0),unit),
inference(superposition,[],[f424,f10]) ).
fof(f515,plain,
! [X0,X1] : ld(X0,mult(ld(X1,i(X0)),X0)) = i(mult(X1,X0)),
inference(forward_demodulation,[],[f496,f35]) ).
fof(f516,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = ld(mult(X1,X0),X0),
inference(forward_demodulation,[],[f495,f35]) ).
fof(f517,plain,
! [X0,X1] : ld(mult(X1,i(X0)),X0) = mult(mult(X0,ld(X1,mult(X0,X0))),i(X0)),
inference(forward_demodulation,[],[f490,f34]) ).
fof(f520,plain,
! [X0,X1] : ld(i(X0),mult(ld(X1,X0),i(X0))) = i(mult(X1,i(X0))),
inference(forward_demodulation,[],[f485,f35]) ).
fof(f529,plain,
! [X0,X1] : i(mult(X1,i(X0))) = mult(mult(X0,ld(X1,X0)),i(X0)),
inference(forward_demodulation,[],[f520,f34]) ).
fof(f536,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,i(X1))),X1) = mult(mult(X2,X1),i(mult(X0,X1))),
inference(superposition,[],[f8,f515]) ).
fof(f537,plain,
! [X0,X1] : mult(X1,i(mult(X0,X1))) = mult(ld(X0,i(X1)),X1),
inference(superposition,[],[f1,f515]) ).
fof(f555,plain,
! [X0,X1] : mult(ld(X1,X0),i(X0)) = mult(i(X0),i(mult(X1,i(X0)))),
inference(superposition,[],[f537,f74]) ).
fof(f603,plain,
! [X0] : ld(mult(X0,X0),mult(X0,mult(X0,X0))) = ld(rd(unit,i(X0)),mult(X0,X0)),
inference(superposition,[],[f455,f78]) ).
fof(f702,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f705,plain,
! [X2,X0,X1] : mult(X0,X2) = rd(mult(mult(X0,X1),X2),ld(X2,mult(X1,X2))),
inference(superposition,[],[f4,f8]) ).
fof(f706,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(mult(mult(X0,X1),i(X1)),X1),
inference(superposition,[],[f4,f73]) ).
fof(f707,plain,
! [X0] : mult(X0,X0) = rd(X0,i(X0)),
inference(superposition,[],[f4,f100]) ).
fof(f708,plain,
! [X0,X1] : mult(X1,ld(X0,X1)) = rd(i(mult(X0,i(X1))),i(X1)),
inference(superposition,[],[f4,f529]) ).
fof(f709,plain,
! [X0,X1] : mult(i(X0),X1) = rd(ld(X0,mult(X1,X0)),X0),
inference(superposition,[],[f4,f72]) ).
fof(f710,plain,
! [X2,X0,X1] : rd(mult(X0,X1),X0) = rd(mult(X0,mult(X1,X2)),mult(X0,X2)),
inference(superposition,[],[f4,f7]) ).
fof(f714,plain,
! [X0] : i(X0) = rd(unit,X0),
inference(superposition,[],[f4,f10]) ).
fof(f722,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X1,mult(ld(X1,mult(X0,X1)),X2)),
inference(superposition,[],[f56,f4]) ).
fof(f729,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = mult(i(X0),mult(X0,X1)),
inference(superposition,[],[f22,f714]) ).
fof(f734,plain,
! [X0,X1] : mult(X1,mult(i(X1),ld(X1,X0))) = mult(i(X1),X0),
inference(superposition,[],[f729,f1]) ).
fof(f735,plain,
! [X0,X1] : mult(X0,mult(i(X0),mult(X1,i(X0)))) = mult(i(X0),rd(mult(X0,X1),X0)),
inference(superposition,[],[f729,f23]) ).
fof(f757,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X1),X0)) = mult(mult(X0,mult(i(X0),X1)),X0),
inference(superposition,[],[f72,f729]) ).
fof(f795,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),i(X0))) = mult(i(X0),rd(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f735,f228]) ).
fof(f813,plain,
! [X0,X1] : rd(mult(X0,ld(X0,X1)),X0) = mult(i(X0),rd(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f795,f23]) ).
fof(f825,plain,
! [X0,X1] : rd(X1,X0) = mult(i(X0),rd(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f813,f1]) ).
fof(f843,plain,
! [X0,X1] : mult(i(X0),ld(X0,X1)) = ld(X0,mult(i(X0),X1)),
inference(superposition,[],[f2,f734]) ).
fof(f887,plain,
! [X0,X1] : rd(X1,i(X0)) = mult(X0,rd(mult(i(X0),X1),i(X0))),
inference(superposition,[],[f825,f74]) ).
fof(f889,plain,
! [X0,X1] : rd(ld(X1,X0),X1) = mult(i(X1),rd(X0,X1)),
inference(superposition,[],[f825,f1]) ).
fof(f914,plain,
! [X0,X1] : rd(rd(X0,X1),i(X1)) = mult(i(X1),mult(rd(mult(X1,X0),X1),X1)),
inference(superposition,[],[f71,f825]) ).
fof(f935,plain,
! [X0,X1] : rd(rd(X0,X1),i(X1)) = mult(i(X1),mult(X1,mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f914,f55]) ).
fof(f950,plain,
! [X0,X1] : rd(X1,i(X0)) = mult(X0,mult(i(X0),mult(X1,X0))),
inference(forward_demodulation,[],[f887,f71]) ).
fof(f954,plain,
! [X0,X1] : rd(rd(X0,X1),i(X1)) = mult(X1,mult(i(X1),mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f935,f729]) ).
fof(f967,plain,
! [X0,X1] : rd(rd(X0,X1),i(X1)) = mult(X1,mult(i(X1),mult(X0,unit))),
inference(forward_demodulation,[],[f954,f347]) ).
fof(f973,plain,
! [X0,X1] : mult(X1,mult(i(X1),X0)) = rd(rd(X0,X1),i(X1)),
inference(forward_demodulation,[],[f967,f5]) ).
fof(f979,plain,
! [X0,X1] : mult(i(X0),mult(i(i(X0)),rd(X1,X0))) = rd(mult(X0,mult(i(X0),X1)),i(i(X0))),
inference(superposition,[],[f973,f973]) ).
fof(f984,plain,
! [X0,X1] : mult(i(X0),mult(X0,rd(X1,X0))) = rd(mult(X0,mult(i(X0),X1)),X0),
inference(forward_demodulation,[],[f979,f74]) ).
fof(f988,plain,
! [X0,X1] : rd(mult(X0,mult(i(X0),X1)),X0) = mult(X0,mult(i(X0),rd(X1,X0))),
inference(forward_demodulation,[],[f984,f729]) ).
fof(f992,plain,
! [X0,X1] : rd(mult(X0,mult(i(X0),X1)),X0) = mult(X0,rd(ld(X0,X1),X0)),
inference(forward_demodulation,[],[f988,f889]) ).
fof(f1007,plain,
! [X0] : mult(i(X0),i(X0)) = rd(ld(X0,unit),X0),
inference(superposition,[],[f709,f10]) ).
fof(f1009,plain,
! [X0] : mult(i(mult(X0,X0)),i(X0)) = rd(ld(mult(X0,X0),rd(unit,i(X0))),mult(X0,X0)),
inference(superposition,[],[f709,f78]) ).
fof(f1016,plain,
! [X0,X1] : mult(i(X1),ld(X0,i(X1))) = rd(i(mult(X0,X1)),X1),
inference(superposition,[],[f709,f515]) ).
fof(f1025,plain,
! [X0] : mult(i(mult(X0,X0)),i(X0)) = rd(ld(mult(X0,X0),i(i(X0))),mult(X0,X0)),
inference(forward_demodulation,[],[f1009,f714]) ).
fof(f1027,plain,
! [X0] : mult(i(X0),i(X0)) = rd(i(X0),X0),
inference(forward_demodulation,[],[f1007,f35]) ).
fof(f1038,plain,
! [X0] : mult(i(mult(X0,X0)),i(X0)) = rd(ld(mult(X0,X0),X0),mult(X0,X0)),
inference(forward_demodulation,[],[f1025,f74]) ).
fof(f1043,plain,
! [X0] : mult(i(mult(X0,X0)),i(X0)) = rd(i(X0),mult(X0,X0)),
inference(forward_demodulation,[],[f1038,f140]) ).
fof(f1051,plain,
! [X0] : rd(unit,i(i(X0))) = mult(i(i(X0)),rd(i(X0),X0)),
inference(superposition,[],[f78,f1027]) ).
fof(f1052,plain,
! [X0] : i(i(X0)) = ld(rd(i(X0),X0),i(X0)),
inference(superposition,[],[f140,f1027]) ).
fof(f1087,plain,
! [X0] : ld(rd(i(X0),X0),i(X0)) = X0,
inference(forward_demodulation,[],[f1052,f74]) ).
fof(f1088,plain,
! [X0] : rd(unit,X0) = mult(X0,rd(i(X0),X0)),
inference(forward_demodulation,[],[f1051,f74]) ).
fof(f1107,plain,
! [X0] : i(X0) = mult(X0,rd(i(X0),X0)),
inference(forward_demodulation,[],[f1088,f714]) ).
fof(f1148,plain,
! [X0] : ld(X0,i(X0)) = rd(i(X0),X0),
inference(superposition,[],[f2,f1107]) ).
fof(f1152,plain,
! [X0,X1] : mult(mult(X1,X0),rd(i(X0),X0)) = mult(mult(X1,rd(i(X0),X0)),ld(rd(i(X0),X0),i(X0))),
inference(superposition,[],[f8,f1107]) ).
fof(f1162,plain,
! [X0] : mult(i(X0),i(X0)) = mult(X0,mult(i(X0),rd(i(X0),X0))),
inference(superposition,[],[f729,f1107]) ).
fof(f1168,plain,
! [X0] : rd(i(i(X0)),i(X0)) = mult(i(X0),mult(rd(i(i(X0)),i(X0)),X0)),
inference(superposition,[],[f71,f1107]) ).
fof(f1169,plain,
! [X0] : rd(X0,i(X0)) = mult(i(X0),mult(rd(X0,i(X0)),X0)),
inference(forward_demodulation,[],[f1168,f74]) ).
fof(f1173,plain,
! [X0] : mult(i(X0),i(X0)) = mult(X0,rd(ld(X0,i(X0)),X0)),
inference(forward_demodulation,[],[f1162,f889]) ).
fof(f1179,plain,
! [X0,X1] : mult(mult(X1,X0),rd(i(X0),X0)) = mult(mult(X1,rd(i(X0),X0)),X0),
inference(forward_demodulation,[],[f1152,f1087]) ).
fof(f1183,plain,
! [X0] : mult(X0,X0) = mult(i(X0),mult(mult(X0,X0),X0)),
inference(forward_demodulation,[],[f1169,f707]) ).
fof(f1186,plain,
! [X0] : rd(i(X0),X0) = mult(X0,rd(ld(X0,i(X0)),X0)),
inference(forward_demodulation,[],[f1173,f1027]) ).
fof(f1189,plain,
! [X0,X1] : mult(mult(X1,X0),ld(X0,i(X0))) = mult(mult(X1,ld(X0,i(X0))),X0),
inference(forward_demodulation,[],[f1179,f1148]) ).
fof(f1192,plain,
! [X0] : ld(X0,i(X0)) = mult(X0,rd(ld(X0,i(X0)),X0)),
inference(forward_demodulation,[],[f1186,f1148]) ).
fof(f1194,plain,
! [X0,X1] : mult(mult(X1,X0),ld(X0,i(X0))) = mult(mult(X1,X0),i(mult(X0,X0))),
inference(forward_demodulation,[],[f1189,f536]) ).
fof(f1202,plain,
! [X0] : mult(i(X0),i(X0)) = mult(X0,mult(mult(i(X0),i(X0)),i(X0))),
inference(superposition,[],[f1183,f74]) ).
fof(f1210,plain,
! [X0] : mult(mult(X0,X0),X0) = ld(i(X0),mult(X0,X0)),
inference(superposition,[],[f2,f1183]) ).
fof(f1239,plain,
! [X0] : mult(i(X0),i(X0)) = rd(mult(X0,mult(i(X0),i(X0))),X0),
inference(forward_demodulation,[],[f1202,f23]) ).
fof(f1247,plain,
! [X0] : mult(i(X0),i(X0)) = mult(X0,rd(ld(X0,i(X0)),X0)),
inference(forward_demodulation,[],[f1239,f992]) ).
fof(f1253,plain,
! [X0] : mult(i(X0),i(X0)) = ld(X0,i(X0)),
inference(forward_demodulation,[],[f1247,f1192]) ).
fof(f1270,plain,
! [X0] : i(X0) = mult(ld(X0,i(X0)),i(i(X0))),
inference(superposition,[],[f100,f1253]) ).
fof(f1300,plain,
! [X0] : i(X0) = mult(ld(X0,i(X0)),X0),
inference(forward_demodulation,[],[f1270,f74]) ).
fof(f1315,plain,
! [X0] : i(X0) = mult(X0,i(mult(X0,X0))),
inference(forward_demodulation,[],[f1300,f537]) ).
fof(f1342,plain,
! [X0] : mult(i(X0),mult(X0,X0)) = mult(mult(X0,mult(X0,X0)),i(mult(X0,X0))),
inference(superposition,[],[f73,f1315]) ).
fof(f1343,plain,
! [X0] : i(mult(X0,X0)) = ld(X0,i(X0)),
inference(superposition,[],[f2,f1315]) ).
fof(f1356,plain,
! [X0] : mult(i(i(mult(X0,X0))),X0) = rd(ld(i(mult(X0,X0)),i(X0)),i(mult(X0,X0))),
inference(superposition,[],[f709,f1315]) ).
fof(f1357,plain,
! [X0] : mult(i(X0),i(X0)) = mult(X0,mult(i(X0),i(mult(X0,X0)))),
inference(superposition,[],[f729,f1315]) ).
fof(f1369,plain,
! [X0] : rd(i(X0),X0) = mult(X0,mult(i(X0),i(mult(X0,X0)))),
inference(forward_demodulation,[],[f1357,f1027]) ).
fof(f1370,plain,
! [X0] : mult(mult(X0,X0),X0) = rd(ld(i(mult(X0,X0)),i(X0)),i(mult(X0,X0))),
inference(forward_demodulation,[],[f1356,f74]) ).
fof(f1380,plain,
! [X0] : rd(unit,i(X0)) = mult(mult(X0,mult(X0,X0)),i(mult(X0,X0))),
inference(forward_demodulation,[],[f1342,f78]) ).
fof(f1388,plain,
! [X0] : ld(X0,i(X0)) = mult(X0,mult(i(X0),i(mult(X0,X0)))),
inference(forward_demodulation,[],[f1369,f1148]) ).
fof(f1391,plain,
! [X0] : i(i(X0)) = mult(mult(X0,mult(X0,X0)),i(mult(X0,X0))),
inference(forward_demodulation,[],[f1380,f714]) ).
fof(f1398,plain,
! [X0] : i(mult(X0,X0)) = mult(X0,mult(i(X0),i(mult(X0,X0)))),
inference(forward_demodulation,[],[f1388,f1343]) ).
fof(f1401,plain,
! [X0] : mult(mult(X0,mult(X0,X0)),i(mult(X0,X0))) = X0,
inference(forward_demodulation,[],[f1391,f74]) ).
fof(f1448,plain,
! [X0] : mult(X0,i(mult(X0,X0))) = mult(i(mult(X0,X0)),X0),
inference(superposition,[],[f537,f1343]) ).
fof(f1449,plain,
! [X0] : i(mult(X0,X0)) = ld(X0,mult(i(mult(X0,X0)),X0)),
inference(superposition,[],[f515,f1343]) ).
fof(f1450,plain,
! [X0] : mult(i(X0),i(X0)) = mult(X0,mult(i(X0),i(mult(X0,X0)))),
inference(superposition,[],[f734,f1343]) ).
fof(f1454,plain,
! [X0] : mult(i(X0),i(X0)) = i(mult(X0,X0)),
inference(forward_demodulation,[],[f1450,f1398]) ).
fof(f1455,plain,
! [X0] : i(mult(X0,X0)) = ld(mult(mult(X0,X0),X0),X0),
inference(forward_demodulation,[],[f1449,f516]) ).
fof(f1456,plain,
! [X0] : i(X0) = mult(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f1448,f1315]) ).
fof(f1570,plain,
! [X0,X1] : mult(mult(X1,X0),ld(X0,i(X0))) = mult(mult(X1,i(mult(X0,X0))),X0),
inference(superposition,[],[f8,f1456]) ).
fof(f1579,plain,
! [X0] : mult(i(X0),i(mult(X0,X0))) = rd(ld(X0,i(X0)),X0),
inference(superposition,[],[f709,f1456]) ).
fof(f1581,plain,
! [X0] : rd(X0,i(mult(X0,X0))) = mult(i(i(mult(X0,X0))),rd(i(X0),i(mult(X0,X0)))),
inference(superposition,[],[f825,f1456]) ).
fof(f1588,plain,
! [X0] : rd(ld(i(mult(X0,X0)),i(X0)),i(mult(X0,X0))) = rd(X0,i(mult(X0,X0))),
inference(forward_demodulation,[],[f1581,f889]) ).
fof(f1590,plain,
! [X0] : mult(i(X0),i(mult(X0,X0))) = rd(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f1579,f1343]) ).
fof(f1594,plain,
! [X0,X1] : mult(mult(X1,X0),i(mult(X0,X0))) = mult(mult(X1,i(mult(X0,X0))),X0),
inference(forward_demodulation,[],[f1570,f1194]) ).
fof(f1606,plain,
! [X0] : mult(mult(X0,X0),X0) = rd(X0,i(mult(X0,X0))),
inference(forward_demodulation,[],[f1588,f1370]) ).
fof(f1644,plain,
! [X0] : mult(i(X0),i(mult(X0,X0))) = ld(X0,i(mult(X0,X0))),
inference(superposition,[],[f2,f1398]) ).
fof(f1900,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = rd(mult(X0,unit),mult(X0,i(X1))),
inference(superposition,[],[f710,f12]) ).
fof(f1912,plain,
! [X0,X1] : rd(mult(X0,i(X1)),X0) = rd(mult(X0,unit),mult(X0,X1)),
inference(superposition,[],[f710,f10]) ).
fof(f1939,plain,
! [X0,X1] : rd(mult(i(mult(X0,X1)),X0),i(mult(X0,X1))) = rd(unit,mult(i(mult(X0,X1)),X1)),
inference(superposition,[],[f710,f10]) ).
fof(f1962,plain,
! [X0,X1] : rd(mult(i(X0),X1),i(X0)) = rd(mult(i(X0),mult(X1,mult(X0,X0))),rd(unit,i(X0))),
inference(superposition,[],[f710,f78]) ).
fof(f1983,plain,
! [X0,X1] : rd(mult(i(X0),X1),i(X0)) = rd(mult(i(X0),mult(X1,mult(X0,X0))),i(i(X0))),
inference(forward_demodulation,[],[f1962,f714]) ).
fof(f1995,plain,
! [X0,X1] : rd(mult(i(mult(X0,X1)),X0),i(mult(X0,X1))) = i(mult(i(mult(X0,X1)),X1)),
inference(forward_demodulation,[],[f1939,f714]) ).
fof(f2010,plain,
! [X0,X1] : rd(mult(X0,i(X1)),X0) = rd(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f1912,f5]) ).
fof(f2013,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = rd(X0,mult(X0,i(X1))),
inference(forward_demodulation,[],[f1900,f5]) ).
fof(f2019,plain,
! [X0,X1] : rd(mult(i(X0),X1),i(X0)) = rd(mult(i(X0),mult(X1,mult(X0,X0))),X0),
inference(forward_demodulation,[],[f1983,f74]) ).
fof(f2024,plain,
! [X0,X1] : i(mult(i(mult(X0,X1)),X1)) = mult(i(mult(X0,X1)),mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f1995,f71]) ).
fof(f2039,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = rd(mult(i(X0),mult(X1,mult(X0,X0))),X0),
inference(forward_demodulation,[],[f2019,f71]) ).
fof(f2387,plain,
! [X2,X0,X1] : mult(i(X1),mult(i(mult(X0,i(X1))),X2)) = mult(rd(mult(ld(X0,X1),i(X1)),i(X1)),mult(i(X1),X2)),
inference(superposition,[],[f7,f555]) ).
fof(f2416,plain,
! [X2,X0,X1] : mult(i(X1),mult(i(mult(X0,i(X1))),X2)) = mult(i(X1),mult(ld(i(X1),mult(ld(X0,X1),i(X1))),X2)),
inference(forward_demodulation,[],[f2387,f56]) ).
fof(f2448,plain,
! [X2,X0,X1] : mult(i(X1),mult(i(mult(X0,i(X1))),X2)) = mult(ld(X0,X1),mult(i(X1),X2)),
inference(forward_demodulation,[],[f2416,f722]) ).
fof(f2500,plain,
! [X0,X1] : rd(ld(i(X0),X1),i(X0)) = mult(X0,rd(X1,i(X0))),
inference(superposition,[],[f889,f74]) ).
fof(f2604,plain,
! [X0,X1] : mult(i(X0),mult(i(X1),X0)) = rd(i(X0),mult(i(X0),X1)),
inference(superposition,[],[f71,f2010]) ).
fof(f2734,plain,
! [X0,X1] : mult(i(X0),X1) = mult(mult(i(X0),mult(X1,X0)),i(X0)),
inference(superposition,[],[f3,f71]) ).
fof(f2736,plain,
! [X0,X1] : mult(X0,i(X1)) = mult(rd(X0,mult(X0,X1)),X0),
inference(superposition,[],[f3,f2010]) ).
fof(f2743,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f2746,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X2,X0)) = mult(mult(X1,rd(X0,X2)),X2),
inference(superposition,[],[f8,f3]) ).
fof(f2747,plain,
! [X2,X0,X1] : mult(X0,ld(X1,mult(X2,X1))) = mult(mult(rd(X0,X1),X2),X1),
inference(superposition,[],[f8,f3]) ).
fof(f2753,plain,
! [X2,X0,X1] : ld(X1,mult(ld(X2,rd(X0,X1)),X1)) = ld(mult(X2,X1),X0),
inference(superposition,[],[f424,f3]) ).
fof(f2756,plain,
! [X2,X0,X1] : rd(mult(X1,rd(X0,X2)),X1) = rd(mult(X1,X0),mult(X1,X2)),
inference(superposition,[],[f710,f3]) ).
fof(f2764,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(rd(X0,i(X1)),X1),i(X1)),
inference(superposition,[],[f73,f3]) ).
fof(f2766,plain,
! [X0,X1] : mult(X1,ld(rd(X0,i(X1)),X1)) = rd(i(X0),i(X1)),
inference(superposition,[],[f708,f3]) ).
fof(f2792,plain,
! [X0] : mult(i(i(X0)),mult(X0,X0)) = mult(mult(i(i(X0)),X0),i(i(X0))),
inference(superposition,[],[f2734,f100]) ).
fof(f2812,plain,
! [X0] : mult(i(X0),i(mult(X0,X0))) = mult(mult(i(X0),i(X0)),i(X0)),
inference(superposition,[],[f2734,f1456]) ).
fof(f2874,plain,
! [X0] : mult(i(X0),i(mult(X0,X0))) = mult(rd(i(X0),X0),i(X0)),
inference(forward_demodulation,[],[f2812,f1027]) ).
fof(f2886,plain,
! [X0] : mult(mult(X0,X0),X0) = mult(X0,mult(X0,X0)),
inference(forward_demodulation,[],[f2792,f74]) ).
fof(f2903,plain,
! [X0] : mult(i(X0),i(mult(X0,X0))) = mult(ld(X0,i(X0)),i(X0)),
inference(forward_demodulation,[],[f2874,f1148]) ).
fof(f2917,plain,
! [X0] : mult(i(X0),i(mult(X0,X0))) = mult(i(mult(X0,X0)),i(X0)),
inference(forward_demodulation,[],[f2903,f1343]) ).
fof(f2924,plain,
! [X0] : mult(i(X0),i(mult(X0,X0))) = rd(i(X0),mult(X0,X0)),
inference(forward_demodulation,[],[f2917,f1043]) ).
fof(f2928,plain,
! [X0] : rd(i(X0),mult(X0,X0)) = ld(X0,i(mult(X0,X0))),
inference(forward_demodulation,[],[f2924,f1644]) ).
fof(f2930,plain,
! [X0,X1] : mult(mult(X1,i(mult(X0,X0))),ld(i(mult(X0,X0)),X0)) = mult(mult(X1,mult(mult(X0,X0),X0)),i(mult(X0,X0))),
inference(superposition,[],[f2746,f1606]) ).
fof(f3016,plain,
! [X0,X1] : mult(mult(X1,i(mult(X0,X0))),ld(i(mult(X0,X0)),X0)) = mult(mult(X1,mult(X0,mult(X0,X0))),i(mult(X0,X0))),
inference(forward_demodulation,[],[f2930,f2886]) ).
fof(f3046,plain,
! [X2,X0,X1] : mult(X1,ld(X0,mult(mult(X0,X2),X0))) = mult(mult(X0,mult(ld(X0,X1),X2)),X0),
inference(superposition,[],[f2747,f56]) ).
fof(f3383,plain,
op_c = mult(op_d,i(mult(op_c,op_c))),
inference(superposition,[],[f1401,f13]) ).
fof(f3394,plain,
! [X0] : ld(i(mult(X0,X0)),X0) = mult(mult(mult(X0,X0),mult(X0,mult(X0,X0))),i(mult(X0,X0))),
inference(superposition,[],[f34,f1401]) ).
fof(f3515,plain,
rd(op_d,op_c) = rd(mult(op_d,mult(op_c,op_c)),op_d),
inference(superposition,[],[f2013,f3383]) ).
fof(f3576,plain,
! [X0] : mult(X0,i(mult(i(X0),i(X0)))) = ld(i(X0),i(mult(i(X0),i(X0)))),
inference(superposition,[],[f1644,f74]) ).
fof(f3586,plain,
! [X0] : ld(X0,mult(i(mult(X0,X0)),X0)) = mult(ld(X0,i(mult(X0,X0))),X0),
inference(superposition,[],[f72,f1644]) ).
fof(f3591,plain,
! [X0] : mult(mult(i(X0),mult(X0,X0)),i(mult(X0,X0))) = mult(ld(X0,i(mult(X0,X0))),mult(X0,X0)),
inference(superposition,[],[f73,f1644]) ).
fof(f3634,plain,
! [X0] : mult(mult(i(X0),mult(X0,X0)),i(mult(X0,X0))) = mult(mult(X0,X0),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3591,f537]) ).
fof(f3639,plain,
! [X0] : ld(mult(mult(X0,X0),X0),X0) = mult(ld(X0,i(mult(X0,X0))),X0),
inference(forward_demodulation,[],[f3586,f516]) ).
fof(f3644,plain,
! [X0] : mult(X0,i(rd(i(X0),X0))) = ld(i(X0),i(rd(i(X0),X0))),
inference(forward_demodulation,[],[f3576,f1027]) ).
fof(f3656,plain,
! [X0] : mult(rd(unit,i(X0)),i(mult(X0,X0))) = mult(mult(X0,X0),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3634,f78]) ).
fof(f3661,plain,
! [X0] : i(mult(X0,X0)) = mult(ld(X0,i(mult(X0,X0))),X0),
inference(forward_demodulation,[],[f3639,f1455]) ).
fof(f3666,plain,
! [X0] : mult(X0,i(ld(X0,i(X0)))) = ld(i(X0),i(ld(X0,i(X0)))),
inference(forward_demodulation,[],[f3644,f1148]) ).
fof(f3674,plain,
! [X0] : mult(i(i(X0)),i(mult(X0,X0))) = mult(mult(X0,X0),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3656,f714]) ).
fof(f3681,plain,
! [X0] : mult(X0,i(i(mult(X0,X0)))) = ld(i(X0),i(i(mult(X0,X0)))),
inference(forward_demodulation,[],[f3666,f1343]) ).
fof(f3686,plain,
! [X0] : mult(X0,i(mult(X0,X0))) = mult(mult(X0,X0),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3674,f74]) ).
fof(f3692,plain,
! [X0] : mult(X0,mult(X0,X0)) = ld(i(X0),mult(X0,X0)),
inference(forward_demodulation,[],[f3681,f74]) ).
fof(f3695,plain,
! [X0] : i(X0) = mult(mult(X0,X0),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3686,f1315]) ).
fof(f3712,plain,
i(op_c) = mult(mult(op_c,op_c),i(op_d)),
inference(superposition,[],[f3695,f13]) ).
fof(f3718,plain,
! [X0] : mult(ld(mult(X0,X0),mult(X0,mult(X0,X0))),i(mult(X0,mult(X0,X0)))) = mult(i(mult(X0,mult(X0,X0))),i(i(X0))),
inference(superposition,[],[f555,f3695]) ).
fof(f3757,plain,
! [X0] : mult(i(mult(X0,mult(X0,X0))),X0) = mult(ld(mult(X0,X0),mult(X0,mult(X0,X0))),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3718,f74]) ).
fof(f3772,plain,
! [X0] : mult(i(mult(X0,mult(X0,X0))),X0) = mult(ld(rd(unit,i(X0)),mult(X0,X0)),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3757,f603]) ).
fof(f3780,plain,
! [X0] : mult(i(mult(X0,mult(X0,X0))),X0) = mult(ld(i(i(X0)),mult(X0,X0)),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3772,f714]) ).
fof(f3786,plain,
! [X0] : mult(i(mult(X0,mult(X0,X0))),X0) = mult(ld(X0,mult(X0,X0)),i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f3780,f74]) ).
fof(f3789,plain,
! [X0] : mult(X0,i(mult(X0,mult(X0,X0)))) = mult(i(mult(X0,mult(X0,X0))),X0),
inference(forward_demodulation,[],[f3786,f2]) ).
fof(f3792,plain,
! [X0] : mult(i(X0),mult(i(X0),i(X0))) = ld(X0,mult(i(X0),i(X0))),
inference(superposition,[],[f3692,f74]) ).
fof(f3801,plain,
! [X0] : i(mult(i(X0),i(mult(X0,X0)))) = mult(mult(mult(X0,X0),mult(X0,mult(X0,X0))),i(mult(X0,X0))),
inference(superposition,[],[f529,f3692]) ).
fof(f3804,plain,
! [X0] : i(mult(i(X0),i(mult(X0,X0)))) = ld(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f3801,f3394]) ).
fof(f3809,plain,
! [X0] : mult(i(X0),mult(i(X0),i(X0))) = mult(i(X0),ld(X0,i(X0))),
inference(forward_demodulation,[],[f3792,f843]) ).
fof(f3811,plain,
! [X0] : i(rd(i(mult(X0,X0)),X0)) = ld(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f3804,f1590]) ).
fof(f3815,plain,
! [X0] : mult(i(X0),mult(i(X0),i(X0))) = rd(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f3809,f1016]) ).
fof(f3818,plain,
! [X0] : mult(ld(X0,i(X0)),i(X0)) = rd(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f3815,f228]) ).
fof(f3820,plain,
! [X0] : mult(i(mult(X0,X0)),i(X0)) = rd(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f3818,f1343]) ).
fof(f3821,plain,
! [X0] : rd(i(X0),mult(X0,X0)) = rd(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f3820,f1043]) ).
fof(f3822,plain,
! [X0] : rd(i(mult(X0,X0)),X0) = ld(X0,i(mult(X0,X0))),
inference(forward_demodulation,[],[f3821,f2928]) ).
fof(f3824,plain,
mult(op_d,i(op_c)) = rd(mult(op_d,mult(op_c,op_c)),op_d),
inference(superposition,[],[f23,f3712]) ).
fof(f3833,plain,
mult(op_c,op_c) = rd(i(op_c),i(op_d)),
inference(superposition,[],[f4,f3712]) ).
fof(f3872,plain,
rd(op_d,op_c) = mult(op_d,i(op_c)),
inference(forward_demodulation,[],[f3824,f3515]) ).
fof(f3913,plain,
mult(mult(op_d,op_c),i(op_c)) = mult(rd(op_d,op_c),op_c),
inference(superposition,[],[f73,f3872]) ).
fof(f3951,plain,
op_d = mult(mult(op_d,op_c),i(op_c)),
inference(forward_demodulation,[],[f3913,f3]) ).
fof(f3976,plain,
i(op_c) = ld(mult(op_d,op_c),op_d),
inference(superposition,[],[f2,f3951]) ).
fof(f4150,plain,
mult(op_c,i(op_d)) = mult(i(op_d),op_c),
inference(superposition,[],[f3789,f13]) ).
fof(f4309,plain,
op_c = ld(i(op_d),mult(op_c,i(op_d))),
inference(superposition,[],[f2,f4150]) ).
fof(f4343,plain,
op_c = mult(mult(op_d,op_c),i(op_d)),
inference(forward_demodulation,[],[f4309,f34]) ).
fof(f4516,plain,
rd(i(op_c),i(op_d)) = mult(op_d,ld(mult(op_d,op_c),op_d)),
inference(superposition,[],[f708,f4343]) ).
fof(f4551,plain,
mult(op_d,i(op_c)) = rd(i(op_c),i(op_d)),
inference(forward_demodulation,[],[f4516,f3976]) ).
fof(f4559,plain,
mult(op_c,op_c) = mult(op_d,i(op_c)),
inference(forward_demodulation,[],[f4551,f3833]) ).
fof(f4583,plain,
! [X0] : mult(mult(op_d,X0),i(op_c)) = mult(mult(op_c,op_c),ld(i(op_c),mult(X0,i(op_c)))),
inference(superposition,[],[f8,f4559]) ).
fof(f4607,plain,
! [X0] : mult(mult(op_d,X0),i(op_c)) = mult(mult(op_c,op_c),mult(mult(op_c,X0),i(op_c))),
inference(forward_demodulation,[],[f4583,f34]) ).
fof(f5907,plain,
! [X0,X1] : mult(ld(i(X0),X1),X0) = mult(X0,mult(X1,X0)),
inference(superposition,[],[f228,f74]) ).
fof(f5926,plain,
! [X0,X1] : mult(i(X1),X0) = mult(ld(X1,rd(X0,i(X1))),i(X1)),
inference(superposition,[],[f228,f3]) ).
fof(f5949,plain,
! [X0,X1] : mult(i(X0),mult(mult(X1,i(X0)),X0)) = rd(mult(ld(X0,X1),i(X0)),i(X0)),
inference(superposition,[],[f71,f228]) ).
fof(f5994,plain,
! [X0,X1] : ld(X0,X1) = mult(i(X0),mult(mult(X1,i(X0)),X0)),
inference(forward_demodulation,[],[f5949,f4]) ).
fof(f6044,plain,
! [X0,X1] : ld(X0,X1) = mult(i(X0),mult(mult(X1,X0),i(X0))),
inference(forward_demodulation,[],[f5994,f73]) ).
fof(f6082,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,mult(X1,X0)),i(X0)),
inference(forward_demodulation,[],[f6044,f228]) ).
fof(f6179,plain,
! [X0] : ld(i(X0),i(mult(i(X0),i(X0)))) = mult(mult(X0,ld(i(X0),i(mult(i(X0),i(X0))))),i(X0)),
inference(superposition,[],[f34,f3661]) ).
fof(f6194,plain,
! [X0] : ld(i(X0),i(rd(i(X0),X0))) = mult(mult(X0,ld(i(X0),i(rd(i(X0),X0)))),i(X0)),
inference(forward_demodulation,[],[f6179,f1027]) ).
fof(f6217,plain,
! [X0] : ld(i(X0),i(ld(X0,i(X0)))) = mult(mult(X0,ld(i(X0),i(ld(X0,i(X0))))),i(X0)),
inference(forward_demodulation,[],[f6194,f1148]) ).
fof(f6232,plain,
! [X0] : ld(i(X0),i(i(mult(X0,X0)))) = mult(mult(X0,ld(i(X0),i(i(mult(X0,X0))))),i(X0)),
inference(forward_demodulation,[],[f6217,f1343]) ).
fof(f6244,plain,
! [X0] : ld(i(X0),mult(X0,X0)) = mult(mult(X0,ld(i(X0),mult(X0,X0))),i(X0)),
inference(forward_demodulation,[],[f6232,f74]) ).
fof(f6254,plain,
! [X0] : ld(i(X0),mult(X0,X0)) = ld(mult(i(X0),i(X0)),X0),
inference(forward_demodulation,[],[f6244,f517]) ).
fof(f6263,plain,
! [X0] : ld(i(X0),mult(X0,X0)) = ld(rd(i(X0),X0),X0),
inference(forward_demodulation,[],[f6254,f1027]) ).
fof(f6272,plain,
! [X0] : ld(i(X0),mult(X0,X0)) = ld(ld(X0,i(X0)),X0),
inference(forward_demodulation,[],[f6263,f1148]) ).
fof(f6280,plain,
! [X0] : ld(i(X0),mult(X0,X0)) = ld(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f6272,f1343]) ).
fof(f6286,plain,
! [X0] : mult(mult(X0,X0),X0) = ld(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f6280,f1210]) ).
fof(f6289,plain,
! [X0] : mult(X0,mult(X0,X0)) = ld(i(mult(X0,X0)),X0),
inference(forward_demodulation,[],[f6286,f2886]) ).
fof(f7159,plain,
! [X0,X1] : mult(X0,mult(ld(X0,i(mult(X0,X0))),X1)) = mult(ld(X0,i(mult(X0,X0))),mult(X0,X1)),
inference(superposition,[],[f56,f3822]) ).
fof(f7435,plain,
! [X0,X1] : mult(rd(X0,X1),i(X1)) = rd(mult(X0,i(X1)),X1),
inference(superposition,[],[f706,f3]) ).
fof(f7743,plain,
! [X0,X1] : mult(rd(X1,i(X0)),X0) = rd(mult(X1,X0),i(X0)),
inference(superposition,[],[f7435,f74]) ).
fof(f8267,plain,
! [X2,X0,X1] : mult(i(X0),mult(rd(X1,X2),X0)) = rd(mult(i(X0),X1),mult(i(X0),X2)),
inference(superposition,[],[f71,f2756]) ).
fof(f8639,plain,
! [X0,X1] : mult(ld(X1,X0),i(X1)) = ld(X1,rd(X0,X1)),
inference(superposition,[],[f160,f1]) ).
fof(f8682,plain,
! [X0,X1] : mult(mult(X1,i(X0)),i(i(X0))) = ld(i(X0),rd(mult(ld(X0,X1),i(X0)),i(X0))),
inference(superposition,[],[f160,f228]) ).
fof(f8723,plain,
! [X0,X1] : mult(i(X1),i(X0)) = ld(X0,rd(X0,mult(X0,X1))),
inference(superposition,[],[f160,f2010]) ).
fof(f8769,plain,
! [X0,X1] : mult(mult(X1,i(X0)),i(i(X0))) = ld(i(X0),ld(X0,X1)),
inference(forward_demodulation,[],[f8682,f4]) ).
fof(f8831,plain,
! [X0,X1] : mult(mult(X1,i(X0)),X0) = ld(i(X0),ld(X0,X1)),
inference(forward_demodulation,[],[f8769,f74]) ).
fof(f8868,plain,
! [X0,X1] : mult(mult(X1,X0),i(X0)) = ld(i(X0),ld(X0,X1)),
inference(forward_demodulation,[],[f8831,f73]) ).
fof(f9009,plain,
! [X0,X1] : mult(X1,i(ld(X1,X0))) = mult(rd(X1,X0),X1),
inference(superposition,[],[f2736,f1]) ).
fof(f9124,plain,
! [X0,X1] : mult(X0,mult(i(X0),i(X1))) = rd(mult(X0,rd(i(X0),mult(i(X0),X1))),X0),
inference(superposition,[],[f23,f2736]) ).
fof(f9148,plain,
! [X0,X1] : mult(X0,mult(i(X0),i(X1))) = rd(mult(X0,i(X0)),mult(X0,mult(i(X0),X1))),
inference(forward_demodulation,[],[f9124,f2756]) ).
fof(f9237,plain,
! [X0,X1] : mult(X0,mult(i(X0),i(X1))) = rd(unit,mult(X0,mult(i(X0),X1))),
inference(forward_demodulation,[],[f9148,f12]) ).
fof(f9306,plain,
! [X0,X1] : mult(X0,mult(i(X0),i(X1))) = i(mult(X0,mult(i(X0),X1))),
inference(forward_demodulation,[],[f9237,f714]) ).
fof(f9493,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X1)),i(ld(X0,X1))) = mult(mult(rd(X0,X1),X0),ld(X0,X1)),
inference(superposition,[],[f73,f9009]) ).
fof(f9519,plain,
! [X0,X1] : rd(i(ld(X0,X1)),X0) = mult(i(X0),rd(mult(rd(X0,X1),X0),X0)),
inference(superposition,[],[f825,f9009]) ).
fof(f9540,plain,
! [X0,X1] : rd(i(ld(X0,X1)),X0) = rd(ld(X0,mult(rd(X0,X1),X0)),X0),
inference(forward_demodulation,[],[f9519,f889]) ).
fof(f9556,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X0),ld(X0,X1)) = mult(X1,i(ld(X0,X1))),
inference(forward_demodulation,[],[f9493,f1]) ).
fof(f9587,plain,
! [X0,X1] : rd(i(ld(X0,X1)),X0) = mult(i(X0),rd(X0,X1)),
inference(forward_demodulation,[],[f9540,f709]) ).
fof(f9662,plain,
! [X0] : mult(X0,i(ld(i(mult(X0,X0)),X0))) = mult(mult(ld(X0,i(mult(X0,X0))),i(mult(X0,X0))),ld(i(mult(X0,X0)),X0)),
inference(superposition,[],[f9556,f3822]) ).
fof(f9781,plain,
! [X0] : mult(X0,i(ld(i(mult(X0,X0)),X0))) = mult(mult(ld(X0,i(mult(X0,X0))),mult(X0,mult(X0,X0))),i(mult(X0,X0))),
inference(forward_demodulation,[],[f9662,f3016]) ).
fof(f9842,plain,
! [X0] : mult(X0,i(ld(i(mult(X0,X0)),X0))) = mult(mult(X0,mult(ld(X0,i(mult(X0,X0))),mult(X0,X0))),i(mult(X0,X0))),
inference(forward_demodulation,[],[f9781,f7159]) ).
fof(f9886,plain,
! [X0] : mult(X0,i(ld(i(mult(X0,X0)),X0))) = mult(mult(X0,mult(mult(X0,X0),i(mult(X0,mult(X0,X0))))),i(mult(X0,X0))),
inference(forward_demodulation,[],[f9842,f537]) ).
fof(f9921,plain,
! [X0] : mult(mult(X0,i(X0)),i(mult(X0,X0))) = mult(X0,i(ld(i(mult(X0,X0)),X0))),
inference(forward_demodulation,[],[f9886,f3695]) ).
fof(f9945,plain,
! [X0] : mult(X0,i(mult(X0,mult(X0,X0)))) = mult(mult(X0,i(X0)),i(mult(X0,X0))),
inference(forward_demodulation,[],[f9921,f6289]) ).
fof(f9963,plain,
! [X0] : mult(X0,i(mult(X0,mult(X0,X0)))) = mult(unit,i(mult(X0,X0))),
inference(forward_demodulation,[],[f9945,f12]) ).
fof(f9975,plain,
! [X0] : i(mult(X0,X0)) = mult(X0,i(mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f9963,f6]) ).
fof(f10007,plain,
! [X0] : ld(X0,i(mult(X0,X0))) = i(mult(X0,mult(X0,X0))),
inference(superposition,[],[f2,f9975]) ).
fof(f10346,plain,
! [X0,X1] : i(mult(i(X0),X1)) = mult(X0,mult(i(X0),i(ld(X0,X1)))),
inference(superposition,[],[f9306,f734]) ).
fof(f10681,plain,
! [X0,X1] : mult(X1,mult(i(X1),i(mult(X0,X1)))) = i(rd(X0,i(X1))),
inference(superposition,[],[f9306,f950]) ).
fof(f10683,plain,
! [X0,X1] : mult(i(X1),mult(X0,X1)) = ld(X1,rd(X0,i(X1))),
inference(superposition,[],[f2,f950]) ).
fof(f12409,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = i(mult(i(X0),ld(X1,X0))),
inference(superposition,[],[f2024,f1]) ).
fof(f12518,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(i(mult(X0,X1)),i(mult(i(mult(X0,X1)),X1))),
inference(superposition,[],[f2,f2024]) ).
fof(f12961,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = ld(i(X0),i(mult(i(X0),X1))),
inference(superposition,[],[f12518,f3]) ).
fof(f13561,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = i(mult(X0,ld(X1,i(X0)))),
inference(superposition,[],[f12409,f74]) ).
fof(f13607,plain,
! [X0,X1] : i(mult(i(X0),mult(X1,X0))) = mult(i(X0),ld(X1,X0)),
inference(superposition,[],[f74,f12409]) ).
fof(f13699,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = i(mult(X0,ld(X1,i(X0)))),
inference(forward_demodulation,[],[f13561,f23]) ).
fof(f13799,plain,
! [X0,X1] : ld(X0,i(mult(X0,X1))) = mult(rd(i(X0),X1),i(X0)),
inference(superposition,[],[f12961,f74]) ).
fof(f13831,plain,
! [X0,X1] : mult(rd(X1,ld(i(X1),X0)),X1) = ld(i(X1),i(X0)),
inference(superposition,[],[f12961,f1]) ).
fof(f13833,plain,
! [X0,X1] : mult(rd(X0,mult(i(i(X0)),ld(i(X0),X1))),X0) = ld(i(X0),i(mult(i(i(X0)),X1))),
inference(superposition,[],[f12961,f734]) ).
fof(f13876,plain,
! [X0,X1] : mult(rd(X0,mult(X0,ld(i(X0),X1))),X0) = ld(i(X0),i(mult(X0,X1))),
inference(forward_demodulation,[],[f13833,f74]) ).
fof(f13918,plain,
! [X0,X1] : mult(X0,i(ld(i(X0),X1))) = ld(i(X0),i(mult(X0,X1))),
inference(forward_demodulation,[],[f13876,f2736]) ).
fof(f14030,plain,
! [X0,X1] : mult(i(X0),i(ld(X0,X1))) = ld(X0,i(mult(i(X0),X1))),
inference(superposition,[],[f13918,f74]) ).
fof(f14037,plain,
! [X0,X1] : mult(X1,i(ld(i(X1),mult(i(X1),mult(X0,X1))))) = ld(i(X1),i(rd(X0,i(X1)))),
inference(superposition,[],[f13918,f950]) ).
fof(f14227,plain,
! [X0,X1] : mult(X1,i(mult(X0,X1))) = ld(i(X1),i(rd(X0,i(X1)))),
inference(forward_demodulation,[],[f14037,f2]) ).
fof(f14742,plain,
! [X0,X1] : mult(i(X0),i(mult(X1,i(X0)))) = ld(X0,i(rd(X1,X0))),
inference(superposition,[],[f14227,f74]) ).
fof(f14809,plain,
! [X0,X1] : mult(ld(X1,X0),i(X0)) = ld(X0,i(rd(X1,X0))),
inference(forward_demodulation,[],[f14742,f555]) ).
fof(f15140,plain,
! [X0,X1] : mult(i(X1),i(rd(X0,X1))) = mult(X1,mult(i(X1),mult(ld(X0,X1),i(X1)))),
inference(superposition,[],[f734,f14809]) ).
fof(f15151,plain,
! [X0,X1] : mult(i(X1),i(rd(X0,X1))) = mult(X1,mult(ld(X1,ld(X0,X1)),i(X1))),
inference(forward_demodulation,[],[f15140,f228]) ).
fof(f15183,plain,
! [X0,X1] : mult(i(X1),i(rd(X0,X1))) = rd(mult(X1,ld(X1,ld(X0,X1))),X1),
inference(forward_demodulation,[],[f15151,f23]) ).
fof(f15210,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = mult(i(X1),i(rd(X0,X1))),
inference(forward_demodulation,[],[f15183,f1]) ).
fof(f15270,plain,
! [X0,X1] : mult(i(X1),i(X0)) = rd(ld(mult(X0,X1),X1),X1),
inference(superposition,[],[f15210,f4]) ).
fof(f15307,plain,
! [X0,X1] : rd(mult(i(X1),rd(X0,X1)),i(X1)) = rd(i(X1),rd(ld(X0,X1),X1)),
inference(superposition,[],[f2013,f15210]) ).
fof(f15362,plain,
! [X0,X1] : rd(i(X1),rd(ld(X0,X1),X1)) = rd(mult(i(X1),X0),mult(i(X1),X1)),
inference(forward_demodulation,[],[f15307,f2756]) ).
fof(f15420,plain,
! [X0,X1] : mult(i(X1),mult(rd(X0,X1),X1)) = rd(i(X1),rd(ld(X0,X1),X1)),
inference(forward_demodulation,[],[f15362,f8267]) ).
fof(f15464,plain,
! [X0,X1] : mult(i(X1),X0) = rd(i(X1),rd(ld(X0,X1),X1)),
inference(forward_demodulation,[],[f15420,f3]) ).
fof(f16700,plain,
! [X0,X1] : ld(i(X0),i(i(rd(X1,i(X0))))) = mult(rd(X0,mult(X0,i(mult(X1,X0)))),X0),
inference(superposition,[],[f13831,f14227]) ).
fof(f16733,plain,
! [X0,X1] : rd(rd(X0,ld(i(X0),X1)),i(X0)) = mult(X0,mult(i(X0),ld(i(X0),i(X1)))),
inference(superposition,[],[f950,f13831]) ).
fof(f16776,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(rd(X0,ld(i(X0),X1)),i(X0)),
inference(forward_demodulation,[],[f16733,f1]) ).
fof(f16796,plain,
! [X0,X1] : ld(i(X0),i(i(rd(X1,i(X0))))) = mult(X0,i(i(mult(X1,X0)))),
inference(forward_demodulation,[],[f16700,f2736]) ).
fof(f16835,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(i(X0),i(i(rd(X1,i(X0))))),
inference(forward_demodulation,[],[f16796,f74]) ).
fof(f16863,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(i(X0),rd(X1,i(X0))),
inference(forward_demodulation,[],[f16835,f74]) ).
fof(f17947,plain,
! [X0,X1] : mult(mult(X1,i(X0)),X0) = ld(X0,ld(i(X0),X1)),
inference(superposition,[],[f8868,f74]) ).
fof(f18043,plain,
! [X0,X1] : mult(mult(X1,X0),i(X0)) = ld(X0,ld(i(X0),X1)),
inference(forward_demodulation,[],[f17947,f73]) ).
fof(f19160,plain,
! [X0,X1] : mult(mult(i(i(X0)),ld(i(X0),X1)),X0) = mult(X0,mult(mult(i(i(X0)),X1),X0)),
inference(superposition,[],[f5907,f843]) ).
fof(f19187,plain,
! [X0,X1] : ld(i(X0),X1) = rd(mult(X0,mult(X1,X0)),X0),
inference(superposition,[],[f4,f5907]) ).
fof(f19190,plain,
! [X2,X0,X1] : mult(mult(X2,ld(i(X0),X1)),X0) = mult(mult(X2,X0),ld(X0,mult(X0,mult(X1,X0)))),
inference(superposition,[],[f8,f5907]) ).
fof(f19260,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(X1,X0)) = mult(mult(X2,ld(i(X0),X1)),X0),
inference(forward_demodulation,[],[f19190,f2]) ).
fof(f19285,plain,
! [X0,X1] : mult(mult(X0,ld(i(X0),X1)),X0) = mult(X0,mult(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f19160,f74]) ).
fof(f19331,plain,
! [X0,X1] : mult(X0,mult(mult(X0,X1),X0)) = mult(mult(X0,X0),mult(X1,X0)),
inference(forward_demodulation,[],[f19285,f19260]) ).
fof(f19401,plain,
! [X0,X1] : mult(X1,mult(mult(X1,mult(X0,i(X1))),X1)) = mult(mult(X1,X1),mult(mult(X0,X1),i(X1))),
inference(superposition,[],[f19331,f73]) ).
fof(f19677,plain,
! [X0,X1] : mult(mult(X1,X1),mult(mult(X0,X1),i(X1))) = mult(X1,mult(rd(mult(X1,X0),X1),X1)),
inference(forward_demodulation,[],[f19401,f23]) ).
fof(f19775,plain,
! [X0,X1] : mult(mult(X1,X1),mult(mult(X0,X1),i(X1))) = mult(X1,mult(X1,mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f19677,f55]) ).
fof(f19847,plain,
! [X0,X1] : mult(mult(X1,X1),mult(mult(X0,X1),i(X1))) = mult(X1,mult(X1,mult(X0,unit))),
inference(forward_demodulation,[],[f19775,f347]) ).
fof(f19907,plain,
! [X0,X1] : mult(X1,mult(X1,X0)) = mult(mult(X1,X1),mult(mult(X0,X1),i(X1))),
inference(forward_demodulation,[],[f19847,f5]) ).
fof(f20199,plain,
! [X0,X1] : mult(X1,mult(X1,rd(X0,X1))) = mult(mult(X1,X1),mult(X0,i(X1))),
inference(superposition,[],[f19907,f3]) ).
fof(f20886,plain,
! [X0,X1] : mult(i(X0),ld(mult(X1,i(X0)),i(X0))) = mult(ld(X0,mult(i(i(X0)),i(X1))),i(X0)),
inference(superposition,[],[f5926,f15270]) ).
fof(f21022,plain,
! [X0,X1] : mult(i(X0),ld(mult(X1,i(X0)),i(X0))) = ld(X0,rd(mult(i(i(X0)),i(X1)),X0)),
inference(forward_demodulation,[],[f20886,f8639]) ).
fof(f21083,plain,
! [X0,X1] : ld(X0,rd(mult(X0,i(X1)),X0)) = mult(i(X0),ld(mult(X1,i(X0)),i(X0))),
inference(forward_demodulation,[],[f21022,f74]) ).
fof(f21120,plain,
! [X0,X1] : ld(X0,rd(mult(X0,i(X1)),X0)) = rd(i(mult(mult(X1,i(X0)),X0)),X0),
inference(forward_demodulation,[],[f21083,f1016]) ).
fof(f21144,plain,
! [X0,X1] : ld(X0,rd(mult(X0,i(X1)),X0)) = rd(i(mult(mult(X1,X0),i(X0))),X0),
inference(forward_demodulation,[],[f21120,f73]) ).
fof(f21159,plain,
! [X0,X1] : mult(i(X1),i(X0)) = rd(i(mult(mult(X1,X0),i(X0))),X0),
inference(forward_demodulation,[],[f21144,f160]) ).
fof(f21235,plain,
! [X0,X1] : mult(i(rd(X0,X1)),i(X1)) = rd(i(mult(X0,i(X1))),X1),
inference(superposition,[],[f21159,f3]) ).
fof(f21296,plain,
! [X0,X1] : mult(i(X1),X0) = rd(i(mult(mult(X1,i(X0)),X0)),i(X0)),
inference(superposition,[],[f21159,f74]) ).
fof(f21330,plain,
! [X0,X1] : mult(i(X1),X0) = rd(i(mult(mult(X1,X0),i(X0))),i(X0)),
inference(forward_demodulation,[],[f21296,f73]) ).
fof(f21437,plain,
! [X0,X1] : mult(i(X1),X0) = mult(X0,ld(mult(X1,X0),X0)),
inference(forward_demodulation,[],[f21330,f708]) ).
fof(f21731,plain,
! [X2,X0,X1] : mult(i(rd(mult(X0,X1),X0)),mult(X0,X2)) = mult(mult(X0,X2),ld(mult(X0,mult(X1,X2)),mult(X0,X2))),
inference(superposition,[],[f21437,f7]) ).
fof(f22934,plain,
! [X0,X1] : mult(rd(rd(X0,ld(i(X0),X1)),i(X0)),X0) = rd(ld(i(X0),i(X1)),i(X0)),
inference(superposition,[],[f7743,f13831]) ).
fof(f23091,plain,
! [X0,X1] : mult(rd(rd(X0,ld(i(X0),X1)),i(X0)),X0) = mult(X0,rd(i(X1),i(X0))),
inference(forward_demodulation,[],[f22934,f2500]) ).
fof(f23177,plain,
! [X0,X1] : mult(X0,rd(i(X1),i(X0))) = mult(mult(X0,i(X1)),X0),
inference(forward_demodulation,[],[f23091,f16776]) ).
fof(f23330,plain,
! [X0,X1] : mult(mult(X1,X0),X1) = mult(X1,rd(X0,i(X1))),
inference(superposition,[],[f23177,f74]) ).
fof(f23356,plain,
! [X0,X1] : rd(i(X1),i(X0)) = ld(X0,mult(mult(X0,i(X1)),X0)),
inference(superposition,[],[f2,f23177]) ).
fof(f23571,plain,
! [X0,X1] : rd(X1,i(X0)) = ld(X0,mult(mult(X0,X1),X0)),
inference(superposition,[],[f2,f23330]) ).
fof(f23990,plain,
! [X0,X1] : ld(rd(X0,i(X1)),X1) = ld(X1,rd(i(X0),i(X1))),
inference(superposition,[],[f2,f2766]) ).
fof(f24073,plain,
! [X0,X1] : ld(rd(X0,i(X1)),X1) = mult(i(X1),mult(i(X0),X1)),
inference(forward_demodulation,[],[f23990,f10683]) ).
fof(f24202,plain,
! [X0,X1] : ld(rd(X1,X0),i(X0)) = mult(X0,mult(i(X1),i(X0))),
inference(superposition,[],[f24073,f74]) ).
fof(f24206,plain,
! [X0,X1] : mult(i(X1),mult(X0,X1)) = ld(rd(i(X0),i(X1)),X1),
inference(superposition,[],[f24073,f74]) ).
fof(f24395,plain,
! [X0,X1] : rd(mult(X0,i(X1)),X0) = ld(rd(X1,X0),i(X0)),
inference(forward_demodulation,[],[f24202,f23]) ).
fof(f24450,plain,
! [X0,X1] : rd(X0,mult(X0,X1)) = ld(rd(X1,X0),i(X0)),
inference(forward_demodulation,[],[f24395,f2010]) ).
fof(f24588,plain,
! [X0,X1] : ld(mult(i(X0),X1),i(X0)) = rd(X0,mult(X0,ld(X0,mult(X1,X0)))),
inference(superposition,[],[f24450,f709]) ).
fof(f24593,plain,
! [X0,X1] : ld(X0,i(X1)) = rd(X1,mult(X1,mult(X0,X1))),
inference(superposition,[],[f24450,f4]) ).
fof(f24677,plain,
! [X0,X1] : ld(mult(i(X0),X1),i(X0)) = rd(X0,mult(X1,X0)),
inference(forward_demodulation,[],[f24588,f1]) ).
fof(f25087,plain,
! [X0,X1] : rd(i(X1),mult(X0,i(X1))) = ld(mult(X1,X0),i(i(X1))),
inference(superposition,[],[f24593,f211]) ).
fof(f25117,plain,
! [X0,X1] : rd(i(X1),mult(X0,i(X1))) = ld(mult(X1,X0),X1),
inference(forward_demodulation,[],[f25087,f74]) ).
fof(f26481,plain,
! [X0,X1] : rd(ld(X1,X0),X0) = ld(mult(i(X0),X1),i(X0)),
inference(superposition,[],[f2743,f15464]) ).
fof(f26511,plain,
! [X0,X1] : rd(i(X1),rd(X0,X1)) = mult(i(X1),rd(X1,X0)),
inference(superposition,[],[f15464,f2743]) ).
fof(f26530,plain,
! [X0,X1] : rd(ld(X1,X0),X0) = rd(X0,mult(X1,X0)),
inference(forward_demodulation,[],[f26481,f24677]) ).
fof(f26601,plain,
! [X0,X1] : mult(i(X0),i(X1)) = rd(X0,mult(mult(X1,X0),X0)),
inference(superposition,[],[f15270,f26530]) ).
fof(f26776,plain,
! [X0,X1] : rd(mult(X0,mult(i(X1),i(X0))),X0) = i(mult(X0,ld(i(X0),mult(X1,i(X0))))),
inference(superposition,[],[f13699,f455]) ).
fof(f26796,plain,
! [X0,X1] : i(rd(mult(X0,X1),X0)) = mult(X0,ld(X1,i(X0))),
inference(superposition,[],[f74,f13699]) ).
fof(f26942,plain,
! [X0,X1] : rd(mult(X0,mult(i(X1),i(X0))),X0) = i(mult(X0,mult(mult(X0,X1),i(X0)))),
inference(forward_demodulation,[],[f26776,f34]) ).
fof(f27012,plain,
! [X0,X1] : rd(mult(X0,mult(i(X1),i(X0))),X0) = i(rd(mult(X0,mult(X0,X1)),X0)),
inference(forward_demodulation,[],[f26942,f23]) ).
fof(f27050,plain,
! [X0,X1] : rd(mult(X0,mult(i(X1),i(X0))),X0) = mult(X0,ld(mult(X0,X1),i(X0))),
inference(forward_demodulation,[],[f27012,f26796]) ).
fof(f27070,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X1),i(X0))) = rd(rd(mult(X0,i(X1)),X0),X0),
inference(forward_demodulation,[],[f27050,f23]) ).
fof(f27085,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X1),i(X0))) = rd(rd(X0,mult(X0,X1)),X0),
inference(forward_demodulation,[],[f27070,f2010]) ).
fof(f29829,plain,
! [X0,X1] : mult(i(mult(i(i(X0)),X1)),X0) = ld(X0,mult(mult(i(i(X0)),i(ld(i(X0),X1))),X0)),
inference(superposition,[],[f72,f10346]) ).
fof(f29850,plain,
! [X0,X1] : mult(i(mult(X0,X1)),X0) = ld(X0,mult(mult(X0,i(ld(i(X0),X1))),X0)),
inference(forward_demodulation,[],[f29829,f74]) ).
fof(f29936,plain,
! [X0,X1] : mult(i(mult(X0,X1)),X0) = rd(i(ld(i(X0),X1)),i(X0)),
inference(forward_demodulation,[],[f29850,f23356]) ).
fof(f30001,plain,
! [X0,X1] : mult(i(mult(X0,X1)),X0) = mult(i(i(X0)),rd(i(X0),X1)),
inference(forward_demodulation,[],[f29936,f9587]) ).
fof(f30053,plain,
! [X0,X1] : mult(i(mult(X0,X1)),X0) = mult(X0,rd(i(X0),X1)),
inference(forward_demodulation,[],[f30001,f74]) ).
fof(f30129,plain,
! [X0,X1] : mult(i(X0),X1) = mult(X1,rd(i(X1),ld(X1,X0))),
inference(superposition,[],[f30053,f1]) ).
fof(f30838,plain,
! [X0,X1] : ld(X1,mult(i(X0),X1)) = rd(i(X1),ld(X1,X0)),
inference(superposition,[],[f2,f30129]) ).
fof(f30929,plain,
! [X0,X1] : ld(mult(X0,X1),X1) = rd(i(X1),ld(X1,X0)),
inference(forward_demodulation,[],[f30838,f516]) ).
fof(f34494,plain,
! [X0,X1] : rd(i(X1),X0) = mult(i(X1),rd(X1,mult(X0,X1))),
inference(superposition,[],[f26511,f4]) ).
fof(f34709,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(i(X0),mult(X1,i(X0)))),
inference(superposition,[],[f34494,f74]) ).
fof(f34859,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(i(X0),rd(i(X0),X1)),
inference(superposition,[],[f2,f34494]) ).
fof(f35047,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,ld(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f34709,f25117]) ).
fof(f35357,plain,
! [X0,X1] : mult(X1,ld(X0,X1)) = rd(X1,ld(X1,X0)),
inference(superposition,[],[f35047,f1]) ).
fof(f35389,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = mult(mult(X0,X0),ld(mult(X0,mult(mult(X0,X1),X0)),mult(X0,X0))),
inference(superposition,[],[f35047,f19331]) ).
fof(f35498,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = ld(X0,rd(X0,X1)),
inference(superposition,[],[f2,f35047]) ).
fof(f35541,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X1),X2),X1) = mult(X0,ld(X1,mult(ld(mult(rd(X0,X1),X2),rd(X0,X1)),X1))),
inference(superposition,[],[f2747,f35047]) ).
fof(f35572,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X1),X2),X1) = mult(X0,ld(mult(mult(rd(X0,X1),X2),X1),X0)),
inference(forward_demodulation,[],[f35541,f2753]) ).
fof(f35683,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = mult(i(rd(mult(X0,mult(X0,X1)),X0)),mult(X0,X0)),
inference(forward_demodulation,[],[f35389,f21731]) ).
fof(f35718,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X1),X2),X1) = mult(X0,ld(mult(X0,ld(X1,mult(X2,X1))),X0)),
inference(forward_demodulation,[],[f35572,f2747]) ).
fof(f35800,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = mult(mult(X0,ld(mult(X0,X1),i(X0))),mult(X0,X0)),
inference(forward_demodulation,[],[f35683,f26796]) ).
fof(f35817,plain,
! [X2,X0,X1] : rd(X0,ld(X1,mult(X2,X1))) = mult(rd(rd(X0,X1),X2),X1),
inference(forward_demodulation,[],[f35718,f35047]) ).
fof(f35873,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = mult(rd(rd(X0,mult(X0,X1)),X0),mult(X0,X0)),
inference(forward_demodulation,[],[f35800,f27085]) ).
fof(f35915,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = mult(X0,mult(ld(X0,rd(X0,mult(X0,X1))),X0)),
inference(forward_demodulation,[],[f35873,f56]) ).
fof(f35939,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = mult(X0,mult(mult(i(X1),i(X0)),X0)),
inference(forward_demodulation,[],[f35915,f8723]) ).
fof(f35954,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = mult(X0,mult(mult(i(X1),X0),i(X0))),
inference(forward_demodulation,[],[f35939,f73]) ).
fof(f35964,plain,
! [X0,X1] : rd(mult(X0,mult(i(X1),X0)),X0) = rd(mult(X0,X0),mult(X1,X0)),
inference(forward_demodulation,[],[f35954,f23]) ).
fof(f35968,plain,
! [X0,X1] : ld(i(X0),i(X1)) = rd(mult(X0,X0),mult(X1,X0)),
inference(forward_demodulation,[],[f35964,f19187]) ).
fof(f35988,plain,
! [X0,X1] : mult(X1,ld(mult(ld(X0,i(X1)),X1),X1)) = rd(X1,i(mult(X0,X1))),
inference(superposition,[],[f35357,f515]) ).
fof(f36096,plain,
! [X0,X1] : mult(i(ld(X0,i(X1))),X1) = rd(X1,i(mult(X0,X1))),
inference(forward_demodulation,[],[f35988,f21437]) ).
fof(f36284,plain,
! [X0,X1] : ld(rd(X0,i(X1)),i(X1)) = ld(i(X1),rd(i(X1),mult(ld(i(X1),X0),X1))),
inference(superposition,[],[f35498,f80]) ).
fof(f36468,plain,
! [X0,X1] : ld(rd(X0,i(X1)),i(X1)) = rd(X1,mult(mult(ld(i(X1),X0),X1),X1)),
inference(forward_demodulation,[],[f36284,f34859]) ).
fof(f36585,plain,
! [X0,X1] : mult(i(X1),i(ld(i(X1),X0))) = ld(rd(X0,i(X1)),i(X1)),
inference(forward_demodulation,[],[f36468,f26601]) ).
fof(f36664,plain,
! [X0,X1] : mult(rd(i(X1),X0),i(X1)) = ld(rd(X0,i(X1)),i(X1)),
inference(forward_demodulation,[],[f36585,f9009]) ).
fof(f36707,plain,
! [X0,X1] : ld(X1,i(mult(X1,X0))) = ld(rd(X0,i(X1)),i(X1)),
inference(forward_demodulation,[],[f36664,f13799]) ).
fof(f36781,plain,
! [X0,X1] : ld(X0,i(mult(X0,ld(mult(X1,i(X0)),i(X0))))) = ld(mult(i(i(X0)),i(X1)),i(X0)),
inference(superposition,[],[f36707,f15270]) ).
fof(f36786,plain,
! [X0,X1] : ld(X0,i(X1)) = ld(X1,i(mult(X1,mult(X0,i(X1))))),
inference(superposition,[],[f36707,f4]) ).
fof(f36810,plain,
! [X0,X1] : ld(i(X0),i(mult(i(X0),X1))) = ld(rd(X1,X0),X0),
inference(superposition,[],[f36707,f74]) ).
fof(f36855,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = ld(rd(X1,X0),X0),
inference(forward_demodulation,[],[f36810,f12961]) ).
fof(f36878,plain,
! [X0,X1] : ld(X0,i(X1)) = ld(X1,i(rd(mult(X1,X0),X1))),
inference(forward_demodulation,[],[f36786,f23]) ).
fof(f36882,plain,
! [X0,X1] : ld(X0,i(mult(X0,ld(mult(X1,i(X0)),i(X0))))) = ld(mult(X0,i(X1)),i(X0)),
inference(forward_demodulation,[],[f36781,f74]) ).
fof(f36923,plain,
! [X0,X1] : ld(X0,i(X1)) = mult(ld(mult(X1,X0),X1),i(X1)),
inference(forward_demodulation,[],[f36878,f14809]) ).
fof(f36926,plain,
! [X0,X1] : ld(X0,rd(mult(X0,mult(X1,i(X0))),X0)) = ld(mult(X0,i(X1)),i(X0)),
inference(forward_demodulation,[],[f36882,f13699]) ).
fof(f36951,plain,
! [X0,X1] : ld(X0,i(X1)) = mult(ld(X1,rd(X1,X0)),i(X1)),
inference(forward_demodulation,[],[f36923,f35498]) ).
fof(f36953,plain,
! [X0,X1] : mult(mult(X1,i(X0)),i(X0)) = ld(mult(X0,i(X1)),i(X0)),
inference(forward_demodulation,[],[f36926,f160]) ).
fof(f36970,plain,
! [X0,X1] : ld(X0,i(X1)) = ld(X1,rd(rd(X1,X0),X1)),
inference(forward_demodulation,[],[f36951,f8639]) ).
fof(f37012,plain,
! [X0,X1] : ld(mult(i(X0),X1),X0) = mult(rd(X0,ld(X0,mult(X1,X0))),X0),
inference(superposition,[],[f36855,f709]) ).
fof(f37143,plain,
! [X0,X1] : ld(mult(i(X0),X1),X0) = mult(mult(rd(rd(X0,X0),X1),X0),X0),
inference(forward_demodulation,[],[f37012,f35817]) ).
fof(f37192,plain,
! [X0,X1] : ld(mult(i(X0),X1),X0) = mult(mult(rd(unit,X1),X0),X0),
inference(forward_demodulation,[],[f37143,f188]) ).
fof(f37220,plain,
! [X0,X1] : mult(mult(i(X1),X0),X0) = ld(mult(i(X0),X1),X0),
inference(forward_demodulation,[],[f37192,f714]) ).
fof(f37312,plain,
! [X0,X1] : mult(mult(i(i(ld(i(X0),X1))),X0),X0) = ld(mult(rd(i(X0),X1),i(X0)),X0),
inference(superposition,[],[f37220,f9009]) ).
fof(f37354,plain,
! [X0,X1] : mult(mult(i(i(ld(i(X0),X1))),X0),X0) = ld(ld(X0,i(mult(X0,X1))),X0),
inference(forward_demodulation,[],[f37312,f13799]) ).
fof(f37419,plain,
! [X0,X1] : ld(ld(X0,i(mult(X0,X1))),X0) = mult(mult(ld(i(X0),X1),X0),X0),
inference(forward_demodulation,[],[f37354,f74]) ).
fof(f37475,plain,
! [X0,X1] : mult(mult(X0,mult(X1,X0)),X0) = ld(ld(X0,i(mult(X0,X1))),X0),
inference(forward_demodulation,[],[f37419,f5907]) ).
fof(f38377,plain,
! [X0,X1] : mult(mult(X1,mult(ld(X1,X0),X1)),X1) = ld(ld(X1,i(X0)),X1),
inference(superposition,[],[f37475,f1]) ).
fof(f38663,plain,
! [X0,X1] : ld(ld(X1,i(X0)),X1) = mult(X0,ld(X1,mult(mult(X1,X1),X1))),
inference(forward_demodulation,[],[f38377,f3046]) ).
fof(f38778,plain,
! [X0,X1] : ld(ld(X1,i(X0)),X1) = mult(X0,mult(rd(unit,i(X1)),X1)),
inference(forward_demodulation,[],[f38663,f290]) ).
fof(f38887,plain,
! [X0,X1] : ld(ld(X1,i(X0)),X1) = mult(X0,mult(i(i(X1)),X1)),
inference(forward_demodulation,[],[f38778,f714]) ).
fof(f38983,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = ld(ld(X1,i(X0)),X1),
inference(forward_demodulation,[],[f38887,f74]) ).
fof(f39341,plain,
! [X0,X1] : mult(i(X0),mult(X1,X1)) = ld(ld(X1,X0),X1),
inference(superposition,[],[f38983,f74]) ).
fof(f39362,plain,
! [X0,X1] : mult(mult(i(X0),X1),mult(X0,X0)) = ld(mult(i(X0),i(ld(X0,X1))),X0),
inference(superposition,[],[f38983,f14030]) ).
fof(f39383,plain,
! [X0,X1] : mult(mult(X0,mult(X1,X0)),X0) = mult(mult(X0,X1),mult(X0,X0)),
inference(superposition,[],[f37475,f38983]) ).
fof(f39431,plain,
! [X0,X1] : mult(mult(i(X0),X1),mult(X0,X0)) = mult(mult(i(i(ld(X0,X1))),X0),X0),
inference(forward_demodulation,[],[f39362,f37220]) ).
fof(f39466,plain,
! [X0,X1] : mult(mult(i(X0),X1),mult(X0,X0)) = mult(mult(ld(X0,X1),X0),X0),
inference(forward_demodulation,[],[f39431,f74]) ).
fof(f39571,plain,
! [X0,X1] : mult(i(X1),i(mult(X0,X0))) = ld(ld(i(X0),X1),i(X0)),
inference(superposition,[],[f39341,f1454]) ).
fof(f39605,plain,
! [X0,X1] : ld(rd(X1,i(mult(X0,X0))),mult(X0,X0)) = mult(i(mult(X0,X0)),ld(ld(X0,X1),X0)),
inference(superposition,[],[f24073,f39341]) ).
fof(f40278,plain,
! [X0,X1] : rd(X0,i(mult(rd(i(X1),i(i(X0))),X0))) = mult(i(mult(i(i(X0)),mult(X1,i(X0)))),X0),
inference(superposition,[],[f36096,f24206]) ).
fof(f40423,plain,
! [X0,X1] : rd(X0,i(mult(rd(i(X1),i(i(X0))),X0))) = mult(mult(i(i(X0)),ld(X1,i(X0))),X0),
inference(forward_demodulation,[],[f40278,f13607]) ).
fof(f40489,plain,
! [X0,X1] : rd(X0,i(mult(rd(i(X1),i(i(X0))),X0))) = mult(mult(i(i(X0)),X0),i(mult(X1,X0))),
inference(forward_demodulation,[],[f40423,f536]) ).
fof(f40525,plain,
! [X0,X1] : mult(mult(X0,X0),i(mult(X1,X0))) = rd(X0,i(mult(rd(i(X1),X0),X0))),
inference(forward_demodulation,[],[f40489,f74]) ).
fof(f40550,plain,
! [X0,X1] : rd(X0,i(i(X1))) = mult(mult(X0,X0),i(mult(X1,X0))),
inference(forward_demodulation,[],[f40525,f3]) ).
fof(f40569,plain,
! [X0,X1] : rd(X0,X1) = mult(mult(X0,X0),i(mult(X1,X0))),
inference(forward_demodulation,[],[f40550,f74]) ).
fof(f40763,plain,
! [X0,X1] : i(mult(X1,X0)) = ld(mult(X0,X0),rd(X0,X1)),
inference(superposition,[],[f2,f40569]) ).
fof(f45562,plain,
! [X0,X1] : ld(i(X1),i(rd(X0,X1))) = rd(mult(X1,X1),X0),
inference(superposition,[],[f35968,f3]) ).
fof(f46296,plain,
! [X0,X1] : ld(i(i(X0)),i(mult(X0,mult(i(X0),X1)))) = rd(mult(i(X0),i(X0)),rd(X1,X0)),
inference(superposition,[],[f45562,f973]) ).
fof(f46402,plain,
! [X0,X1] : ld(i(i(X0)),i(mult(X0,mult(i(X0),X1)))) = rd(rd(i(X0),X0),rd(X1,X0)),
inference(forward_demodulation,[],[f46296,f1027]) ).
fof(f46466,plain,
! [X0,X1] : ld(i(i(X0)),i(mult(X0,mult(i(X0),X1)))) = rd(ld(X0,i(X0)),rd(X1,X0)),
inference(forward_demodulation,[],[f46402,f1148]) ).
fof(f46514,plain,
! [X0,X1] : ld(i(i(X0)),i(mult(X0,mult(i(X0),X1)))) = rd(i(mult(X0,X0)),rd(X1,X0)),
inference(forward_demodulation,[],[f46466,f1343]) ).
fof(f46549,plain,
! [X0,X1] : ld(i(i(X0)),mult(X0,mult(i(X0),i(X1)))) = rd(i(mult(X0,X0)),rd(X1,X0)),
inference(forward_demodulation,[],[f46514,f9306]) ).
fof(f46571,plain,
! [X0,X1] : ld(X0,mult(X0,mult(i(X0),i(X1)))) = rd(i(mult(X0,X0)),rd(X1,X0)),
inference(forward_demodulation,[],[f46549,f74]) ).
fof(f46588,plain,
! [X0,X1] : mult(i(X0),i(X1)) = rd(i(mult(X0,X0)),rd(X1,X0)),
inference(forward_demodulation,[],[f46571,f2]) ).
fof(f46973,plain,
! [X0,X1] : mult(i(X1),i(mult(X0,X1))) = rd(i(mult(X1,X1)),X0),
inference(superposition,[],[f46588,f4]) ).
fof(f47021,plain,
! [X0,X1] : rd(X1,X0) = ld(mult(i(X0),i(X1)),i(mult(X0,X0))),
inference(superposition,[],[f2743,f46588]) ).
fof(f50032,plain,
! [X0,X1] : ld(mult(X1,X1),X0) = i(mult(ld(X0,X1),X1)),
inference(superposition,[],[f40763,f702]) ).
fof(f50362,plain,
! [X0,X1] : ld(X1,rd(X0,X1)) = ld(ld(X0,X1),i(X1)),
inference(superposition,[],[f36970,f702]) ).
fof(f50410,plain,
! [X0,X1] : ld(rd(X1,X0),i(i(mult(X0,X0)))) = ld(i(mult(X0,X0)),rd(mult(i(X0),i(X1)),i(mult(X0,X0)))),
inference(superposition,[],[f36970,f46588]) ).
fof(f50446,plain,
! [X0,X1] : mult(mult(rd(rd(i(X1),X0),i(X1)),X1),i(X1)) = ld(X1,ld(X0,i(i(X1)))),
inference(superposition,[],[f18043,f36970]) ).
fof(f50457,plain,
! [X0,X1] : ld(X1,ld(X0,X1)) = mult(mult(rd(rd(i(X1),X0),i(X1)),X1),i(X1)),
inference(forward_demodulation,[],[f50446,f74]) ).
fof(f50483,plain,
! [X0,X1] : ld(rd(X1,X0),i(i(mult(X0,X0)))) = mult(mult(X0,X0),mult(mult(i(X0),i(X1)),mult(X0,X0))),
inference(forward_demodulation,[],[f50410,f16863]) ).
fof(f50516,plain,
! [X0,X1] : ld(X1,ld(X0,X1)) = mult(rd(i(X1),X0),X1),
inference(forward_demodulation,[],[f50457,f2764]) ).
fof(f50538,plain,
! [X0,X1] : ld(rd(X1,X0),i(i(mult(X0,X0)))) = mult(mult(X0,X0),mult(mult(ld(X0,i(X1)),X0),X0)),
inference(forward_demodulation,[],[f50483,f39466]) ).
fof(f50581,plain,
! [X0,X1] : ld(rd(X1,X0),i(i(mult(X0,X0)))) = mult(X0,mult(mult(X0,mult(ld(X0,i(X1)),X0)),X0)),
inference(forward_demodulation,[],[f50538,f19331]) ).
fof(f50610,plain,
! [X0,X1] : ld(rd(X1,X0),i(i(mult(X0,X0)))) = mult(X0,mult(mult(X0,ld(X0,i(X1))),mult(X0,X0))),
inference(forward_demodulation,[],[f50581,f39383]) ).
fof(f50627,plain,
! [X0,X1] : ld(rd(X1,X0),i(i(mult(X0,X0)))) = mult(X0,mult(i(X1),mult(X0,X0))),
inference(forward_demodulation,[],[f50610,f1]) ).
fof(f50638,plain,
! [X0,X1] : mult(X0,ld(ld(X0,X1),X0)) = ld(rd(X1,X0),i(i(mult(X0,X0)))),
inference(forward_demodulation,[],[f50627,f39341]) ).
fof(f50641,plain,
! [X0,X1] : mult(X0,ld(ld(X0,X1),X0)) = ld(rd(X1,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f50638,f74]) ).
fof(f52889,plain,
! [X0,X1] : mult(X0,i(mult(ld(X1,X0),X0))) = mult(ld(X0,rd(X1,X0)),X0),
inference(superposition,[],[f537,f50362]) ).
fof(f52916,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X0),X1)) = mult(ld(X0,rd(X1,X0)),X0),
inference(forward_demodulation,[],[f52889,f50032]) ).
fof(f54325,plain,
! [X0,X1] : rd(i(X0),X1) = ld(mult(i(X1),X0),i(mult(X1,X1))),
inference(superposition,[],[f47021,f74]) ).
fof(f54675,plain,
! [X0,X1] : ld(X0,i(mult(X1,X1))) = rd(i(ld(i(X1),X0)),X1),
inference(superposition,[],[f54325,f1]) ).
fof(f54704,plain,
! [X0,X1] : rd(i(X1),i(X0)) = ld(mult(i(i(X0)),X1),i(i(mult(X0,X0)))),
inference(superposition,[],[f54325,f1454]) ).
fof(f54764,plain,
! [X0,X1] : rd(i(X1),i(X0)) = ld(mult(i(i(X0)),X1),mult(X0,X0)),
inference(forward_demodulation,[],[f54704,f74]) ).
fof(f54852,plain,
! [X0,X1] : rd(i(X1),i(X0)) = ld(mult(X0,X1),mult(X0,X0)),
inference(forward_demodulation,[],[f54764,f74]) ).
fof(f55062,plain,
! [X0,X1] : rd(i(mult(mult(X0,X1),i(X1))),X1) = ld(ld(X1,X0),i(mult(X1,X1))),
inference(superposition,[],[f54675,f8868]) ).
fof(f55108,plain,
! [X0,X1] : mult(X1,mult(i(X1),i(ld(i(X1),X0)))) = rd(ld(X0,i(mult(X1,X1))),i(X1)),
inference(superposition,[],[f973,f54675]) ).
fof(f55156,plain,
! [X0,X1] : mult(X1,mult(rd(i(X1),X0),i(X1))) = rd(ld(X0,i(mult(X1,X1))),i(X1)),
inference(forward_demodulation,[],[f55108,f9009]) ).
fof(f55193,plain,
! [X0,X1] : ld(ld(X1,X0),i(mult(X1,X1))) = mult(i(rd(mult(X0,X1),X1)),i(X1)),
inference(forward_demodulation,[],[f55062,f21235]) ).
fof(f55217,plain,
! [X0,X1] : rd(mult(X1,rd(i(X1),X0)),X1) = rd(ld(X0,i(mult(X1,X1))),i(X1)),
inference(forward_demodulation,[],[f55156,f23]) ).
fof(f55245,plain,
! [X0,X1] : mult(i(X0),i(X1)) = ld(ld(X1,X0),i(mult(X1,X1))),
inference(forward_demodulation,[],[f55193,f4]) ).
fof(f55263,plain,
! [X0,X1] : rd(mult(X1,i(X1)),mult(X1,X0)) = rd(ld(X0,i(mult(X1,X1))),i(X1)),
inference(forward_demodulation,[],[f55217,f2756]) ).
fof(f55294,plain,
! [X0,X1] : rd(unit,mult(X1,X0)) = rd(ld(X0,i(mult(X1,X1))),i(X1)),
inference(forward_demodulation,[],[f55263,f12]) ).
fof(f55317,plain,
! [X0,X1] : i(mult(X1,X0)) = rd(ld(X0,i(mult(X1,X1))),i(X1)),
inference(forward_demodulation,[],[f55294,f714]) ).
fof(f55380,plain,
! [X0,X1] : ld(X0,i(mult(X1,X1))) = mult(i(mult(X1,X0)),i(X1)),
inference(superposition,[],[f55245,f2]) ).
fof(f55965,plain,
! [X0,X1] : mult(i(mult(i(X0),X1)),X0) = ld(X1,i(mult(i(X0),i(X0)))),
inference(superposition,[],[f55380,f74]) ).
fof(f56124,plain,
! [X0,X1] : mult(i(mult(i(X0),X1)),X0) = ld(X1,i(rd(i(X0),X0))),
inference(forward_demodulation,[],[f55965,f1027]) ).
fof(f56300,plain,
! [X0,X1] : mult(i(mult(i(X0),X1)),X0) = ld(X1,i(ld(X0,i(X0)))),
inference(forward_demodulation,[],[f56124,f1148]) ).
fof(f56434,plain,
! [X0,X1] : mult(i(mult(i(X0),X1)),X0) = ld(X1,i(i(mult(X0,X0)))),
inference(forward_demodulation,[],[f56300,f1343]) ).
fof(f56541,plain,
! [X0,X1] : mult(i(mult(i(X0),X1)),X0) = ld(X1,mult(X0,X0)),
inference(forward_demodulation,[],[f56434,f74]) ).
fof(f56862,plain,
! [X0,X1] : i(mult(i(X0),X1)) = rd(ld(X1,i(i(mult(X0,X0)))),i(i(X0))),
inference(superposition,[],[f55317,f1454]) ).
fof(f57014,plain,
! [X0,X1] : i(mult(i(X0),X1)) = rd(ld(X1,i(i(mult(X0,X0)))),X0),
inference(forward_demodulation,[],[f56862,f74]) ).
fof(f57068,plain,
! [X0,X1] : i(mult(i(X0),X1)) = rd(ld(X1,mult(X0,X0)),X0),
inference(forward_demodulation,[],[f57014,f74]) ).
fof(f65590,plain,
! [X0,X1] : i(mult(i(X0),rd(i(X1),i(mult(X0,X0))))) = rd(mult(i(mult(X0,X0)),mult(X1,mult(X0,X0))),X0),
inference(superposition,[],[f57068,f24206]) ).
fof(f91608,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = rd(mult(mult(X1,i(X0)),mult(X0,X0)),ld(mult(X0,X0),rd(unit,i(X0)))),
inference(superposition,[],[f705,f78]) ).
fof(f91808,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = rd(mult(mult(X1,i(X0)),mult(X0,X0)),ld(mult(X0,X0),i(i(X0)))),
inference(forward_demodulation,[],[f91608,f714]) ).
fof(f92156,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = rd(mult(mult(X1,i(X0)),mult(X0,X0)),ld(mult(X0,X0),X0)),
inference(forward_demodulation,[],[f91808,f74]) ).
fof(f92457,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = rd(mult(mult(X1,i(X0)),mult(X0,X0)),ld(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f92156,f35498]) ).
fof(f92625,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = rd(mult(mult(X1,i(X0)),mult(X0,X0)),ld(X0,unit)),
inference(forward_demodulation,[],[f92457,f188]) ).
fof(f92712,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = rd(mult(mult(X1,i(X0)),mult(X0,X0)),i(X0)),
inference(forward_demodulation,[],[f92625,f35]) ).
fof(f103659,plain,
! [X0,X1] : ld(i(X0),ld(X0,X1)) = mult(ld(i(X0),ld(X0,rd(X1,X0))),i(i(X0))),
inference(superposition,[],[f6082,f8639]) ).
fof(f104171,plain,
! [X0,X1] : ld(i(X0),ld(X0,X1)) = ld(i(X0),rd(ld(X0,rd(X1,X0)),i(X0))),
inference(forward_demodulation,[],[f103659,f8639]) ).
fof(f104377,plain,
! [X0,X1] : ld(i(X0),ld(X0,X1)) = mult(X0,mult(ld(X0,rd(X1,X0)),X0)),
inference(forward_demodulation,[],[f104171,f16863]) ).
fof(f104527,plain,
! [X0,X1] : ld(i(X0),ld(X0,X1)) = mult(X0,mult(X0,ld(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f104377,f52916]) ).
fof(f104637,plain,
! [X0,X1] : mult(mult(X1,X0),i(X0)) = mult(X0,mult(X0,ld(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f104527,f8868]) ).
fof(f108639,plain,
! [X0,X1] : mult(rd(X0,i(X1)),mult(X1,X1)) = rd(mult(X0,mult(X1,X1)),i(X1)),
inference(superposition,[],[f92712,f3]) ).
fof(f110067,plain,
! [X0,X1] : ld(X0,i(X1)) = mult(i(mult(i(X1),X0)),i(mult(X1,X1))),
inference(superposition,[],[f39571,f2]) ).
fof(f110123,plain,
! [X0,X1] : mult(X1,i(mult(ld(i(X1),X0),X1))) = mult(mult(i(X0),i(mult(X1,X1))),X1),
inference(superposition,[],[f537,f39571]) ).
fof(f110185,plain,
! [X0,X1] : mult(X1,i(mult(ld(i(X1),X0),X1))) = mult(mult(i(X0),X1),i(mult(X1,X1))),
inference(forward_demodulation,[],[f110123,f1594]) ).
fof(f110272,plain,
! [X0,X1] : mult(X1,i(mult(X1,mult(X0,X1)))) = mult(mult(i(X0),X1),i(mult(X1,X1))),
inference(forward_demodulation,[],[f110185,f5907]) ).
fof(f110603,plain,
! [X0,X1] : i(mult(i(X1),X0)) = rd(ld(X0,i(X1)),i(mult(X1,X1))),
inference(superposition,[],[f4,f110067]) ).
fof(f111482,plain,
! [X0,X1] : i(mult(i(i(X0)),X1)) = rd(ld(X1,i(i(X0))),i(i(mult(X0,X0)))),
inference(superposition,[],[f110603,f1454]) ).
fof(f111568,plain,
! [X0,X1] : i(mult(i(i(X0)),X1)) = rd(ld(X1,i(i(X0))),mult(X0,X0)),
inference(forward_demodulation,[],[f111482,f74]) ).
fof(f111661,plain,
! [X0,X1] : i(mult(X0,X1)) = rd(ld(X1,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f111568,f74]) ).
fof(f111945,plain,
! [X0,X1] : rd(X0,mult(X1,X1)) = i(mult(X1,rd(X1,X0))),
inference(superposition,[],[f111661,f2743]) ).
fof(f113347,plain,
! [X0,X1] : mult(ld(X0,mult(X1,X1)),i(mult(X1,X1))) = mult(X1,i(mult(X1,mult(mult(i(X1),X0),X1)))),
inference(superposition,[],[f110272,f56541]) ).
fof(f113647,plain,
! [X0,X1] : mult(ld(X0,mult(X1,X1)),i(mult(X1,X1))) = mult(X1,i(mult(X1,ld(X1,mult(X0,X1))))),
inference(forward_demodulation,[],[f113347,f72]) ).
fof(f113808,plain,
! [X0,X1] : mult(X1,i(mult(X0,X1))) = mult(ld(X0,mult(X1,X1)),i(mult(X1,X1))),
inference(forward_demodulation,[],[f113647,f1]) ).
fof(f114623,plain,
! [X0,X1] : ld(X1,mult(X0,X0)) = rd(mult(X0,i(mult(X1,X0))),i(mult(X0,X0))),
inference(superposition,[],[f4,f113808]) ).
fof(f115699,plain,
! [X0,X1] : ld(rd(i(X0),X1),mult(X0,X0)) = rd(mult(X0,i(ld(X0,ld(X1,X0)))),i(mult(X0,X0))),
inference(superposition,[],[f114623,f50516]) ).
fof(f115700,plain,
! [X0,X1] : ld(rd(X0,X1),mult(X1,X1)) = rd(mult(X1,i(X0)),i(mult(X1,X1))),
inference(superposition,[],[f114623,f3]) ).
fof(f116018,plain,
! [X0,X1] : mult(X1,ld(ld(X1,X0),X1)) = rd(mult(X1,i(X0)),i(mult(X1,X1))),
inference(forward_demodulation,[],[f115700,f50641]) ).
fof(f116019,plain,
! [X0,X1] : ld(rd(i(X0),X1),mult(X0,X0)) = rd(mult(rd(X0,ld(X1,X0)),X0),i(mult(X0,X0))),
inference(forward_demodulation,[],[f115699,f9009]) ).
fof(f116210,plain,
! [X0,X1] : rd(mult(X1,X0),i(mult(X0,X0))) = ld(rd(i(X0),X1),mult(X0,X0)),
inference(forward_demodulation,[],[f116019,f702]) ).
fof(f117101,plain,
! [X0,X1] : mult(X1,ld(ld(X1,i(X0)),X1)) = rd(mult(X1,X0),i(mult(X1,X1))),
inference(superposition,[],[f116018,f74]) ).
fof(f117378,plain,
! [X0,X1] : mult(X1,mult(X0,mult(X1,X1))) = rd(mult(X1,X0),i(mult(X1,X1))),
inference(forward_demodulation,[],[f117101,f38983]) ).
fof(f118181,plain,
! [X0,X1] : rd(mult(ld(X0,X1),i(X1)),i(mult(i(X1),i(X1)))) = mult(i(X1),mult(i(mult(X0,i(X1))),mult(i(X1),i(X1)))),
inference(superposition,[],[f117378,f555]) ).
fof(f118310,plain,
! [X0,X1] : rd(i(mult(X0,X0)),mult(i(mult(X0,X0)),mult(X0,X1))) = ld(mult(X0,mult(X1,mult(X0,X0))),i(i(mult(X0,X0)))),
inference(superposition,[],[f24450,f117378]) ).
fof(f118331,plain,
! [X0,X1] : ld(mult(X0,mult(X1,mult(X0,X0))),mult(X0,X0)) = rd(i(mult(X0,X0)),mult(i(mult(X0,X0)),mult(X0,X1))),
inference(forward_demodulation,[],[f118310,f74]) ).
fof(f118445,plain,
! [X0,X1] : rd(mult(ld(X0,X1),i(X1)),i(mult(i(X1),i(X1)))) = mult(ld(X0,X1),mult(i(X1),mult(i(X1),i(X1)))),
inference(forward_demodulation,[],[f118181,f2448]) ).
fof(f118558,plain,
! [X0,X1] : ld(mult(X0,mult(X1,mult(X0,X0))),mult(X0,X0)) = mult(i(mult(X0,X0)),mult(i(mult(X0,X1)),mult(X0,X0))),
inference(forward_demodulation,[],[f118331,f2604]) ).
fof(f118653,plain,
! [X0,X1] : rd(mult(ld(X0,X1),i(X1)),i(mult(i(X1),i(X1)))) = mult(ld(X0,X1),mult(ld(X1,i(X1)),i(X1))),
inference(forward_demodulation,[],[f118445,f228]) ).
fof(f118741,plain,
! [X0,X1] : ld(rd(mult(X0,X1),i(mult(X0,X0))),mult(X0,X0)) = ld(mult(X0,mult(X1,mult(X0,X0))),mult(X0,X0)),
inference(forward_demodulation,[],[f118558,f24073]) ).
fof(f118829,plain,
! [X0,X1] : rd(mult(ld(X0,X1),i(X1)),i(mult(i(X1),i(X1)))) = mult(ld(X0,X1),ld(X1,rd(i(X1),X1))),
inference(forward_demodulation,[],[f118653,f8639]) ).
fof(f118900,plain,
! [X0,X1] : ld(rd(mult(X0,X1),i(mult(X0,X0))),mult(X0,X0)) = rd(i(mult(X1,mult(X0,X0))),i(X0)),
inference(forward_demodulation,[],[f118741,f54852]) ).
fof(f118975,plain,
! [X0,X1] : rd(mult(ld(X0,X1),i(X1)),i(mult(i(X1),i(X1)))) = mult(ld(X0,X1),ld(X1,ld(X1,i(X1)))),
inference(forward_demodulation,[],[f118829,f1148]) ).
fof(f119031,plain,
! [X0,X1] : rd(i(mult(X1,mult(X0,X0))),i(X0)) = mult(i(mult(X0,X0)),ld(ld(X0,mult(X0,X1)),X0)),
inference(forward_demodulation,[],[f118900,f39605]) ).
fof(f119100,plain,
! [X0,X1] : rd(mult(ld(X0,X1),i(X1)),i(mult(i(X1),i(X1)))) = mult(ld(X0,X1),ld(X1,i(mult(X1,X1)))),
inference(forward_demodulation,[],[f118975,f1343]) ).
fof(f119147,plain,
! [X0,X1] : mult(i(mult(X0,X0)),ld(X1,X0)) = rd(i(mult(X1,mult(X0,X0))),i(X0)),
inference(forward_demodulation,[],[f119031,f2]) ).
fof(f119204,plain,
! [X0,X1] : rd(mult(ld(X0,X1),i(X1)),i(mult(i(X1),i(X1)))) = mult(ld(X0,X1),i(mult(X1,mult(X1,X1)))),
inference(forward_demodulation,[],[f119100,f10007]) ).
fof(f119285,plain,
! [X0,X1] : ld(rd(i(i(X1)),ld(X0,X1)),mult(i(X1),i(X1))) = mult(ld(X0,X1),i(mult(X1,mult(X1,X1)))),
inference(forward_demodulation,[],[f119204,f116210]) ).
fof(f119352,plain,
! [X0,X1] : ld(rd(i(i(X1)),ld(X0,X1)),rd(i(X1),X1)) = mult(ld(X0,X1),i(mult(X1,mult(X1,X1)))),
inference(forward_demodulation,[],[f119285,f1027]) ).
fof(f119401,plain,
! [X0,X1] : ld(rd(i(i(X1)),ld(X0,X1)),ld(X1,i(X1))) = mult(ld(X0,X1),i(mult(X1,mult(X1,X1)))),
inference(forward_demodulation,[],[f119352,f1148]) ).
fof(f119438,plain,
! [X0,X1] : ld(rd(i(i(X1)),ld(X0,X1)),i(mult(X1,X1))) = mult(ld(X0,X1),i(mult(X1,mult(X1,X1)))),
inference(forward_demodulation,[],[f119401,f1343]) ).
fof(f119470,plain,
! [X0,X1] : ld(rd(X1,ld(X0,X1)),i(mult(X1,X1))) = mult(ld(X0,X1),i(mult(X1,mult(X1,X1)))),
inference(forward_demodulation,[],[f119438,f74]) ).
fof(f119495,plain,
! [X0,X1] : ld(X0,i(mult(X1,X1))) = mult(ld(X0,X1),i(mult(X1,mult(X1,X1)))),
inference(forward_demodulation,[],[f119470,f702]) ).
fof(f120701,plain,
! [X0,X1] : rd(i(X0),i(X1)) = mult(i(mult(X1,X1)),ld(rd(X0,mult(X1,X1)),X1)),
inference(superposition,[],[f119147,f3]) ).
fof(f121298,plain,
! [X0,X1] : ld(rd(i(X1),X0),mult(X1,X1)) = mult(rd(X0,mult(i(X1),i(X1))),X1),
inference(superposition,[],[f56541,f111945]) ).
fof(f121570,plain,
! [X0,X1] : ld(rd(i(X1),X0),mult(X1,X1)) = mult(rd(X0,rd(i(X1),X1)),X1),
inference(forward_demodulation,[],[f121298,f1027]) ).
fof(f121694,plain,
! [X0,X1] : mult(rd(X0,ld(X1,i(X1))),X1) = ld(rd(i(X1),X0),mult(X1,X1)),
inference(forward_demodulation,[],[f121570,f1148]) ).
fof(f121773,plain,
! [X0,X1] : mult(rd(X0,i(mult(X1,X1))),X1) = ld(rd(i(X1),X0),mult(X1,X1)),
inference(forward_demodulation,[],[f121694,f1343]) ).
fof(f122219,plain,
! [X0,X1] : ld(rd(X0,mult(X1,X1)),X1) = ld(i(mult(X1,X1)),rd(i(X0),i(X1))),
inference(superposition,[],[f2,f120701]) ).
fof(f122795,plain,
! [X0,X1] : ld(rd(X1,i(mult(X0,X0))),i(X0)) = ld(i(i(mult(X0,X0))),rd(i(X1),i(i(X0)))),
inference(superposition,[],[f122219,f1454]) ).
fof(f122971,plain,
! [X0,X1] : ld(rd(X1,i(mult(X0,X0))),i(X0)) = ld(i(i(mult(X0,X0))),rd(i(X1),X0)),
inference(forward_demodulation,[],[f122795,f74]) ).
fof(f123031,plain,
! [X0,X1] : ld(rd(X1,i(mult(X0,X0))),i(X0)) = ld(mult(X0,X0),rd(i(X1),X0)),
inference(forward_demodulation,[],[f122971,f74]) ).
fof(f131720,plain,
! [X0,X1] : ld(mult(i(i(X1)),i(mult(X0,i(X1)))),i(X1)) = mult(i(i(rd(X0,i(i(X1))))),i(mult(X1,X1))),
inference(superposition,[],[f110067,f10681]) ).
fof(f131746,plain,
! [X0,X1] : ld(mult(i(i(X1)),i(mult(X0,i(X1)))),i(X1)) = mult(rd(X0,i(i(X1))),i(mult(X1,X1))),
inference(forward_demodulation,[],[f131720,f74]) ).
fof(f132071,plain,
! [X0,X1] : ld(mult(X1,i(mult(X0,i(X1)))),i(X1)) = mult(rd(X0,X1),i(mult(X1,X1))),
inference(forward_demodulation,[],[f131746,f74]) ).
fof(f132323,plain,
! [X0,X1] : mult(mult(mult(X0,i(X1)),i(X1)),i(X1)) = mult(rd(X0,X1),i(mult(X1,X1))),
inference(forward_demodulation,[],[f132071,f36953]) ).
fof(f141034,plain,
! [X0,X1] : rd(ld(X1,X0),mult(i(X1),i(X1))) = i(mult(i(X1),ld(mult(X0,X1),X1))),
inference(superposition,[],[f111945,f30929]) ).
fof(f141035,plain,
! [X0,X1] : mult(i(X1),mult(mult(X0,X1),X1)) = rd(ld(X1,X0),mult(i(X1),i(X1))),
inference(forward_demodulation,[],[f141034,f12409]) ).
fof(f141168,plain,
! [X0,X1] : mult(i(X1),mult(mult(X0,X1),X1)) = rd(ld(X1,X0),rd(i(X1),X1)),
inference(forward_demodulation,[],[f141035,f1027]) ).
fof(f141261,plain,
! [X0,X1] : mult(i(X1),mult(mult(X0,X1),X1)) = rd(ld(X1,X0),ld(X1,i(X1))),
inference(forward_demodulation,[],[f141168,f1148]) ).
fof(f141319,plain,
! [X0,X1] : mult(i(X1),mult(mult(X0,X1),X1)) = rd(ld(X1,X0),i(mult(X1,X1))),
inference(forward_demodulation,[],[f141261,f1343]) ).
fof(f141454,plain,
! [X0,X1] : mult(i(i(X1)),mult(mult(ld(X1,X0),i(X1)),i(X1))) = rd(mult(mult(X0,X1),i(X1)),i(mult(i(X1),i(X1)))),
inference(superposition,[],[f141319,f8868]) ).
fof(f141740,plain,
! [X0,X1] : mult(i(i(X1)),mult(mult(ld(X1,X0),i(X1)),i(X1))) = ld(rd(i(i(X1)),mult(X0,X1)),mult(i(X1),i(X1))),
inference(forward_demodulation,[],[f141454,f116210]) ).
fof(f141871,plain,
! [X0,X1] : mult(i(i(X1)),mult(mult(ld(X1,X0),i(X1)),i(X1))) = mult(rd(mult(X0,X1),i(mult(i(X1),i(X1)))),i(X1)),
inference(forward_demodulation,[],[f141740,f121773]) ).
fof(f141981,plain,
! [X0,X1] : mult(i(i(X1)),mult(mult(ld(X1,X0),i(X1)),i(X1))) = mult(rd(mult(X0,X1),i(rd(i(X1),X1))),i(X1)),
inference(forward_demodulation,[],[f141871,f1027]) ).
fof(f142082,plain,
! [X0,X1] : mult(i(i(X1)),mult(mult(ld(X1,X0),i(X1)),i(X1))) = mult(rd(mult(X0,X1),i(ld(X1,i(X1)))),i(X1)),
inference(forward_demodulation,[],[f141981,f1148]) ).
fof(f142173,plain,
! [X0,X1] : mult(i(i(X1)),mult(mult(ld(X1,X0),i(X1)),i(X1))) = mult(rd(mult(X0,X1),i(i(mult(X1,X1)))),i(X1)),
inference(forward_demodulation,[],[f142082,f1343]) ).
fof(f142253,plain,
! [X0,X1] : mult(i(i(X1)),mult(mult(ld(X1,X0),i(X1)),i(X1))) = mult(rd(mult(X0,X1),mult(X1,X1)),i(X1)),
inference(forward_demodulation,[],[f142173,f74]) ).
fof(f142322,plain,
! [X0,X1] : mult(rd(mult(X0,X1),mult(X1,X1)),i(X1)) = mult(i(i(X1)),mult(ld(X1,rd(X0,X1)),i(X1))),
inference(forward_demodulation,[],[f142253,f8639]) ).
fof(f142376,plain,
! [X0,X1] : mult(rd(mult(X0,X1),mult(X1,X1)),i(X1)) = mult(i(i(X1)),ld(X1,rd(rd(X0,X1),X1))),
inference(forward_demodulation,[],[f142322,f8639]) ).
fof(f142417,plain,
! [X0,X1] : mult(rd(mult(X0,X1),mult(X1,X1)),i(X1)) = mult(X1,ld(X1,rd(rd(X0,X1),X1))),
inference(forward_demodulation,[],[f142376,f74]) ).
fof(f142454,plain,
! [X0,X1] : rd(rd(X0,X1),X1) = mult(rd(mult(X0,X1),mult(X1,X1)),i(X1)),
inference(forward_demodulation,[],[f142417,f1]) ).
fof(f142793,plain,
! [X0,X1] : mult(rd(mult(X0,X1),mult(X1,X1)),mult(X1,X1)) = rd(mult(rd(rd(X0,X1),X1),mult(X1,X1)),i(X1)),
inference(superposition,[],[f92712,f142454]) ).
fof(f142954,plain,
! [X0,X1] : mult(rd(mult(X0,X1),mult(X1,X1)),mult(X1,X1)) = mult(rd(rd(rd(X0,X1),X1),i(X1)),mult(X1,X1)),
inference(forward_demodulation,[],[f142793,f108639]) ).
fof(f143239,plain,
! [X0,X1] : mult(rd(mult(X0,X1),mult(X1,X1)),mult(X1,X1)) = mult(mult(X1,mult(i(X1),rd(X0,X1))),mult(X1,X1)),
inference(forward_demodulation,[],[f142954,f973]) ).
fof(f143469,plain,
! [X0,X1] : mult(rd(mult(X0,X1),mult(X1,X1)),mult(X1,X1)) = mult(mult(X1,rd(ld(X1,X0),X1)),mult(X1,X1)),
inference(forward_demodulation,[],[f143239,f889]) ).
fof(f143671,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X1,rd(ld(X1,X0),X1)),mult(X1,X1)),
inference(forward_demodulation,[],[f143469,f3]) ).
fof(f147951,plain,
! [X0,X1] : mult(mult(X1,X0),X1) = mult(mult(X1,rd(X0,X1)),mult(X1,X1)),
inference(superposition,[],[f143671,f2]) ).
fof(f148034,plain,
! [X0,X1] : mult(mult(X1,X0),X0) = mult(mult(X0,mult(i(X0),X1)),mult(X0,X0)),
inference(superposition,[],[f143671,f709]) ).
fof(f149108,plain,
! [X0,X1] : mult(mult(X0,mult(i(X0),mult(X1,mult(X0,X0)))),X0) = mult(mult(X0,mult(i(X0),mult(X1,X0))),mult(X0,X0)),
inference(superposition,[],[f147951,f2039]) ).
fof(f149420,plain,
! [X0,X1] : mult(mult(mult(X1,X0),X0),X0) = mult(mult(X0,mult(i(X0),mult(X1,mult(X0,X0)))),X0),
inference(forward_demodulation,[],[f149108,f148034]) ).
fof(f149568,plain,
! [X0,X1] : mult(mult(mult(X1,X0),X0),X0) = ld(X0,mult(mult(X0,mult(X1,mult(X0,X0))),X0)),
inference(forward_demodulation,[],[f149420,f757]) ).
fof(f149685,plain,
! [X0,X1] : mult(mult(mult(X1,X0),X0),X0) = rd(mult(X1,mult(X0,X0)),i(X0)),
inference(forward_demodulation,[],[f149568,f23571]) ).
fof(f153627,plain,
! [X0,X1] : mult(mult(mult(X1,i(X0)),i(X0)),i(X0)) = rd(mult(X1,i(mult(X0,X0))),i(i(X0))),
inference(superposition,[],[f149685,f1454]) ).
fof(f153857,plain,
! [X0,X1] : mult(mult(mult(X1,i(X0)),i(X0)),i(X0)) = rd(mult(X1,i(mult(X0,X0))),X0),
inference(forward_demodulation,[],[f153627,f74]) ).
fof(f153949,plain,
! [X0,X1] : mult(rd(X1,X0),i(mult(X0,X0))) = rd(mult(X1,i(mult(X0,X0))),X0),
inference(forward_demodulation,[],[f153857,f132323]) ).
fof(f154289,plain,
! [X0,X1] : rd(mult(i(mult(X0,X0)),X1),X0) = mult(rd(mult(i(mult(X0,X0)),mult(X1,mult(X0,X0))),X0),i(mult(X0,X0))),
inference(superposition,[],[f153949,f2734]) ).
fof(f154480,plain,
! [X0,X1] : rd(mult(i(mult(X0,X0)),X1),X0) = mult(i(mult(i(X0),rd(i(X1),i(mult(X0,X0))))),i(mult(X0,X0))),
inference(forward_demodulation,[],[f154289,f65590]) ).
fof(f154589,plain,
! [X0,X1] : rd(mult(i(mult(X0,X0)),X1),X0) = ld(rd(i(X1),i(mult(X0,X0))),i(X0)),
inference(forward_demodulation,[],[f154480,f110067]) ).
fof(f154669,plain,
! [X0,X1] : rd(mult(i(mult(X0,X0)),X1),X0) = ld(mult(X0,X0),rd(i(i(X1)),X0)),
inference(forward_demodulation,[],[f154589,f123031]) ).
fof(f154735,plain,
! [X0,X1] : rd(mult(i(mult(X0,X0)),X1),X0) = ld(mult(X0,X0),rd(X1,X0)),
inference(forward_demodulation,[],[f154669,f74]) ).
fof(f195306,plain,
! [X0,X1] : mult(mult(X0,mult(X1,X1)),i(mult(X1,mult(X1,X1)))) = ld(ld(X1,i(X0)),i(mult(X1,X1))),
inference(superposition,[],[f119495,f38983]) ).
fof(f195747,plain,
! [X0,X1] : mult(mult(X0,mult(X1,X1)),i(mult(X1,mult(X1,X1)))) = mult(i(i(X0)),i(X1)),
inference(forward_demodulation,[],[f195306,f55245]) ).
fof(f195888,plain,
! [X0,X1] : mult(X0,i(X1)) = mult(mult(X0,mult(X1,X1)),i(mult(X1,mult(X1,X1)))),
inference(forward_demodulation,[],[f195747,f74]) ).
fof(f196730,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = rd(mult(X0,i(X1)),i(mult(X1,mult(X1,X1)))),
inference(superposition,[],[f4,f195888]) ).
fof(f197572,plain,
! [X0,X1] : mult(X1,i(mult(X0,X0))) = rd(mult(X1,i(i(X0))),i(mult(i(X0),i(mult(X0,X0))))),
inference(superposition,[],[f196730,f1454]) ).
fof(f197707,plain,
! [X0,X1] : mult(X1,i(mult(X0,X0))) = rd(mult(X1,i(i(X0))),i(rd(i(mult(X0,X0)),X0))),
inference(forward_demodulation,[],[f197572,f46973]) ).
fof(f197873,plain,
! [X0,X1] : mult(X1,i(mult(X0,X0))) = rd(mult(X1,i(i(X0))),ld(i(mult(X0,X0)),X0)),
inference(forward_demodulation,[],[f197707,f3811]) ).
fof(f198009,plain,
! [X0,X1] : mult(X1,i(mult(X0,X0))) = rd(mult(X1,i(i(X0))),mult(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f197873,f6289]) ).
fof(f198116,plain,
! [X0,X1] : mult(X1,i(mult(X0,X0))) = rd(mult(X1,X0),mult(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f198009,f74]) ).
fof(f199444,plain,
! [X0,X1] : rd(X0,mult(X1,mult(X1,X1))) = mult(rd(X0,X1),i(mult(X1,X1))),
inference(superposition,[],[f198116,f3]) ).
fof(f201814,plain,
! [X0,X1] : mult(ld(rd(X0,X1),mult(X1,X1)),i(mult(X1,X1))) = mult(i(mult(X1,X1)),i(rd(X0,mult(X1,mult(X1,X1))))),
inference(superposition,[],[f555,f199444]) ).
fof(f202007,plain,
! [X0,X1] : mult(X1,i(mult(rd(X0,X1),X1))) = mult(i(mult(X1,X1)),i(rd(X0,mult(X1,mult(X1,X1))))),
inference(forward_demodulation,[],[f201814,f113808]) ).
fof(f202200,plain,
! [X0,X1] : mult(X1,i(X0)) = mult(i(mult(X1,X1)),i(rd(X0,mult(X1,mult(X1,X1))))),
inference(forward_demodulation,[],[f202007,f3]) ).
fof(f224611,plain,
! [X0,X1] : mult(i(mult(X1,X1)),i(X0)) = mult(X1,i(mult(X0,mult(X1,mult(X1,X1))))),
inference(superposition,[],[f202200,f4]) ).
fof(f226808,plain,
! [X0] : mult(mult(op_d,i(mult(X0,mult(op_c,mult(op_c,op_c))))),i(op_c)) = mult(mult(op_c,op_c),mult(mult(i(mult(op_c,op_c)),i(X0)),i(op_c))),
inference(superposition,[],[f4607,f224611]) ).
fof(f226831,plain,
! [X0] : mult(mult(op_d,i(mult(X0,mult(op_c,mult(op_c,op_c))))),i(op_c)) = mult(op_c,mult(op_c,rd(mult(i(mult(op_c,op_c)),i(X0)),op_c))),
inference(forward_demodulation,[],[f226808,f20199]) ).
fof(f227020,plain,
! [X0] : mult(mult(op_d,i(mult(X0,mult(op_c,mult(op_c,op_c))))),i(op_c)) = mult(op_c,mult(op_c,ld(mult(op_c,op_c),rd(i(X0),op_c)))),
inference(forward_demodulation,[],[f226831,f154735]) ).
fof(f227170,plain,
! [X0] : mult(mult(op_d,i(mult(X0,mult(op_c,mult(op_c,op_c))))),i(op_c)) = mult(mult(rd(i(X0),op_c),op_c),i(op_c)),
inference(forward_demodulation,[],[f227020,f104637]) ).
fof(f227288,plain,
! [X0] : mult(i(X0),i(op_c)) = mult(mult(op_d,i(mult(X0,mult(op_c,mult(op_c,op_c))))),i(op_c)),
inference(forward_demodulation,[],[f227170,f3]) ).
fof(f227392,plain,
! [X0] : mult(i(X0),i(op_c)) = mult(mult(op_d,i(mult(X0,op_d))),i(op_c)),
inference(forward_demodulation,[],[f227288,f13]) ).
fof(f228031,plain,
! [X0] : mult(op_d,i(mult(X0,op_d))) = rd(mult(i(X0),i(op_c)),i(op_c)),
inference(superposition,[],[f4,f227392]) ).
fof(f228196,plain,
! [X0] : i(X0) = mult(op_d,i(mult(X0,op_d))),
inference(forward_demodulation,[],[f228031,f4]) ).
fof(f228538,plain,
i(a) != i(a),
inference(superposition,[],[f16,f228196]) ).
fof(f228669,plain,
$false,
inference(trivial_inequality_removal,[],[f228538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP691-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:38:23 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 81.25/14.20 % (2141875)Detected a unit-equality problem, will run specialized UEQ schedule.
% 81.25/14.20 % (2141961)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3991193811:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 81.25/14.20 % (2141955)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1980484571:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 81.25/14.20 % (2141956)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1298125239:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 81.25/14.20 % (2141959)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1496728939:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 81.25/14.20 % (2141953)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2923825266:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 81.25/14.20 % (2141958)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1405776145:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 81.25/14.20 % (2141962)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1590973425:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 81.25/14.20 % (2141961)Instruction limit reached!
% 81.25/14.20 % (2141961)------------------------------
% 81.25/14.20 % (2141961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2141961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2141961)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2141961)Termination reason: Instruction limit
% 81.25/14.20 % (2141961)Termination phase: Saturation
% 81.25/14.20 % (2141961)Time elapsed: 0.140 s
% 81.25/14.20 % (2141961)Peak memory usage: 90 MB
% 81.25/14.20 % (2141961)Instructions burned: 259 (million)
% 81.25/14.20 % (2141958)Instruction limit reached!
% 81.25/14.20 % (2141958)------------------------------
% 81.25/14.20 % (2141958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2141958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2141958)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2141958)Termination reason: Instruction limit
% 81.25/14.20 % (2141958)Termination phase: Saturation
% 81.25/14.20 % (2141958)Time elapsed: 0.138 s
% 81.25/14.20 % (2141958)Peak memory usage: 89 MB
% 81.25/14.20 % (2141958)Instructions burned: 136 (million)
% 81.25/14.20 % (2141959)Instruction limit reached!
% 81.25/14.20 % (2141959)------------------------------
% 81.25/14.20 % (2141959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2141959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2141959)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2141959)Termination reason: Instruction limit
% 81.25/14.20 % (2141959)Termination phase: Saturation
% 81.25/14.20 % (2141959)Time elapsed: 0.180 s
% 81.25/14.20 % (2141959)Peak memory usage: 89 MB
% 81.25/14.20 % (2141959)Instructions burned: 182 (million)
% 81.25/14.20 % (2141999)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2915476736:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 81.25/14.20 % (2142001)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3993151607:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 81.25/14.20 % (2142003)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1432569652:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 81.25/14.20 % (2142003)Instruction limit reached!
% 81.25/14.20 % (2142003)------------------------------
% 81.25/14.20 % (2142003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2142003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2142003)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2142003)Termination reason: Instruction limit
% 81.25/14.20 % (2142003)Termination phase: Saturation
% 81.25/14.20 % (2142003)Time elapsed: 0.197 s
% 81.25/14.20 % (2142003)Peak memory usage: 90 MB
% 81.25/14.20 % (2142003)Instructions burned: 216 (million)
% 81.25/14.20 % (2142014)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1829560881:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 81.25/14.20 % (2141962)Instruction limit reached!
% 81.25/14.20 % (2141962)------------------------------
% 81.25/14.20 % (2141962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2141962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2141962)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2141962)Termination reason: Instruction limit
% 81.25/14.20 % (2141962)Termination phase: Saturation
% 81.25/14.20 % (2141962)Time elapsed: 1.112 s
% 81.25/14.20 % (2141962)Peak memory usage: 102 MB
% 81.25/14.20 % (2141962)Instructions burned: 1187 (million)
% 81.25/14.20 % (2142014)Instruction limit reached!
% 81.25/14.20 % (2142014)------------------------------
% 81.25/14.20 % (2142014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2142014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2142014)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2142014)Termination reason: Instruction limit
% 81.25/14.20 % (2142014)Termination phase: Saturation
% 81.25/14.20 % (2142014)Time elapsed: 0.324 s
% 81.25/14.20 % (2142014)Peak memory usage: 94 MB
% 81.25/14.20 % (2142014)Instructions burned: 317 (million)
% 81.25/14.20 % (2142018)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=791688617:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 81.25/14.20 % (2142022)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3021141787:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 81.25/14.20 % (2141999)Instruction limit reached!
% 81.25/14.20 % (2141999)------------------------------
% 81.25/14.20 % (2141999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2141999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2141999)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2141999)Termination reason: Instruction limit
% 81.25/14.20 % (2141999)Termination phase: Saturation
% 81.25/14.20 % (2141999)Time elapsed: 1.854 s
% 81.25/14.20 % (2141999)Peak memory usage: 141 MB
% 81.25/14.20 % (2141999)Instructions burned: 2051 (million)
% 81.25/14.20 % (2142030)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=10398031:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2975 on theBenchmark for (2975ds/14534Mi)
% 81.25/14.20 % (2142022)Instruction limit reached!
% 81.25/14.20 % (2142022)------------------------------
% 81.25/14.20 % (2142022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2142022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2142022)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2142022)Termination reason: Instruction limit
% 81.25/14.20 % (2142022)Termination phase: Saturation
% 81.25/14.20 % (2142022)Time elapsed: 3.070 s
% 81.25/14.20 % (2142022)Peak memory usage: 132 MB
% 81.25/14.20 % (2142022)Instructions burned: 2836 (million)
% 81.25/14.20 % (2142036)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2073007386:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2951 on theBenchmark for (2951ds/11832Mi)
% 81.25/14.20 % (2142001)Instruction limit reached!
% 81.25/14.20 % (2142001)------------------------------
% 81.25/14.20 % (2142001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2142001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2142001)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2142001)Termination reason: Instruction limit
% 81.25/14.20 % (2142001)Termination phase: Saturation
% 81.25/14.20 % (2142001)Time elapsed: 5.001 s
% 81.25/14.20 % (2142001)Peak memory usage: 167 MB
% 81.25/14.20 % (2142001)Instructions burned: 4948 (million)
% 81.25/14.20 % (2142038)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2408734383:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 81.25/14.20 % (2142038)Instruction limit reached!
% 81.25/14.20 % (2142038)------------------------------
% 81.25/14.20 % (2142038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/14.20 % (2142038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/14.20 % (2142038)CaDiCaL version: 2.1.3
% 81.25/14.20 % (2142038)Termination reason: Instruction limit
% 81.25/14.20 % (2142038)Termination phase: Saturation
% 81.25/14.20 % (2142038)Time elapsed: 2.257 s
% 81.25/14.20 % (2142038)Peak memory usage: 141 MB
% 81.25/14.20 % (2142038)Instructions burned: 2279 (million)
% 81.25/14.20 % (2142042)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=2138366898:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2917 on theBenchmark for (2917ds/6225Mi)
% 81.25/14.20 % (2141955)First to succeed.
% 81.25/14.20 % (2141955)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2141875"
% 81.25/14.20 % (2141955)Refutation found. Thanks to Tanya!
% 81.25/14.20 % SZS status Unsatisfiable for theBenchmark
% 81.25/14.20 % SZS output start Proof for theBenchmark
% See solution above
% 95.24/14.40 % (2141955)------------------------------
% 95.24/14.40 % (2141955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.24/14.40 % (2141955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.24/14.40 % (2141955)CaDiCaL version: 2.1.3
% 95.24/14.40 % (2141955)Termination reason: Refutation
% 95.24/14.40 % (2141955)Time elapsed: 12.747 s
% 95.24/14.40 % (2141955)Peak memory usage: 314 MB
% 95.24/14.40 % (2141955)Instructions burned: 20725 (million)
% 95.24/14.40 % (2141955)------------------------------
% 95.24/14.40 % (2141955)------------------------------
% 95.24/14.40 % (2141875)Success in time 13.319 s
% 95.24/14.40 % Vampire exiting
%------------------------------------------------------------------------------