%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV552-1.007 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:52:23 PM UTC 2026
% Result : Satisfiable 0.08s 0.33s
% Output : Saturation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,I,E] : select(store(A,I,E),I) = E,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [I,J,A,E] :
( select(store(A,I,E),J) = select(A,J)
| I = J ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
a_29 = store(a1,i1,e_28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
a_31 = store(a2,i1,e_30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
a_33 = store(a_29,i2,e_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
a_35 = store(a_31,i2,e_34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
a_37 = store(a_33,i3,e_36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
a_39 = store(a_35,i3,e_38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
a_41 = store(a_37,i4,e_40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
a_43 = store(a_39,i4,e_42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
a_45 = store(a_41,i5,e_44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
a_47 = store(a_43,i5,e_46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
a_49 = store(a_45,i6,e_48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
a_51 = store(a_47,i6,e_50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
a_53 = store(a_49,i1,e_52),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
a_55 = store(a_51,i7,e_54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
e_28 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
e_30 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
e_32 = select(a_31,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
e_34 = select(a_29,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
e_36 = select(a_35,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
e_38 = select(a_33,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
e_40 = select(a_39,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
e_42 = select(a_37,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
e_44 = select(a_43,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
e_46 = select(a_41,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
e_48 = select(a_47,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
e_50 = select(a_45,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
e_52 = select(a_51,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
e_54 = select(a_49,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
a_53 = a_55,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0,X1,X2] : select(store(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
! [I,J] :
( ! [A,E] : select(store(A,I,E),J) = select(A,J)
| I = J ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( select(store(X2,X0,X3),X1) = select(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
a_29 = store(a1,i1,e_28),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f37,plain,
a_31 = store(a2,i1,e_30),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
a_33 = store(a_29,i2,e_32),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f39,plain,
a_35 = store(a_31,i2,e_34),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f40,plain,
a_37 = store(a_33,i3,e_36),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f41,plain,
a_39 = store(a_35,i3,e_38),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f42,plain,
a_41 = store(a_37,i4,e_40),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
a_43 = store(a_39,i4,e_42),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f44,plain,
a_45 = store(a_41,i5,e_44),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f45,plain,
a_47 = store(a_43,i5,e_46),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f46,plain,
a_49 = store(a_45,i6,e_48),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f47,plain,
a_51 = store(a_47,i6,e_50),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f48,plain,
a_53 = store(a_49,i1,e_52),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f49,plain,
a_55 = store(a_51,i7,e_54),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f50,plain,
e_28 = select(a2,i1),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f51,plain,
e_30 = select(a1,i1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f52,plain,
e_32 = select(a_31,i2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f53,plain,
e_34 = select(a_29,i2),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f54,plain,
e_36 = select(a_35,i3),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f55,plain,
e_38 = select(a_33,i3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f56,plain,
e_40 = select(a_39,i4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f57,plain,
e_42 = select(a_37,i4),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f58,plain,
e_44 = select(a_43,i5),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f59,plain,
e_46 = select(a_41,i5),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f60,plain,
e_48 = select(a_47,i6),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f61,plain,
e_50 = select(a_45,i6),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f62,plain,
e_52 = select(a_51,i7),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f63,plain,
e_54 = select(a_49,i7),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f64,plain,
a_53 = a_55,
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f65,plain,
a1 != a2,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f68,plain,
! [X0] :
( select(a_29,X0) = select(a1,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f36,f35]) ).
fof(f69,plain,
select(a_29,i1) = e_28,
inference(paramodulation,[status(thm)],[f36,f33]) ).
fof(f70,plain,
! [X0] :
( select(a_31,X0) = select(a2,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f37,f35]) ).
fof(f71,plain,
select(a_31,i1) = e_30,
inference(paramodulation,[status(thm)],[f37,f33]) ).
fof(f72,plain,
! [X0] :
( select(a_33,X0) = select(a_29,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f38,f35]) ).
fof(f73,plain,
select(a_33,i2) = e_32,
inference(paramodulation,[status(thm)],[f38,f33]) ).
fof(f74,plain,
! [X0] :
( select(a_35,X0) = select(a_31,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f39,f35]) ).
fof(f75,plain,
select(a_35,i2) = e_34,
inference(paramodulation,[status(thm)],[f39,f33]) ).
fof(f76,plain,
! [X0] :
( select(a_37,X0) = select(a_33,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f40,f35]) ).
fof(f77,plain,
select(a_37,i3) = e_36,
inference(paramodulation,[status(thm)],[f40,f33]) ).
fof(f78,plain,
! [X0] :
( select(a_39,X0) = select(a_35,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f41,f35]) ).
fof(f79,plain,
select(a_39,i3) = e_38,
inference(paramodulation,[status(thm)],[f41,f33]) ).
fof(f80,plain,
! [X0] :
( select(a_41,X0) = select(a_37,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f42,f35]) ).
fof(f81,plain,
select(a_41,i4) = e_40,
inference(paramodulation,[status(thm)],[f42,f33]) ).
fof(f82,plain,
! [X0] :
( select(a_43,X0) = select(a_39,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f43,f35]) ).
fof(f83,plain,
select(a_43,i4) = e_42,
inference(paramodulation,[status(thm)],[f43,f33]) ).
fof(f84,plain,
! [X0] :
( select(a_45,X0) = select(a_41,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f44,f35]) ).
fof(f85,plain,
select(a_45,i5) = e_44,
inference(paramodulation,[status(thm)],[f44,f33]) ).
fof(f86,plain,
! [X0] :
( select(a_47,X0) = select(a_43,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f45,f35]) ).
fof(f87,plain,
select(a_47,i5) = e_46,
inference(paramodulation,[status(thm)],[f45,f33]) ).
fof(f88,plain,
! [X0] :
( select(a_49,X0) = select(a_45,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f46,f35]) ).
fof(f89,plain,
select(a_49,i6) = e_48,
inference(paramodulation,[status(thm)],[f46,f33]) ).
fof(f90,plain,
! [X0] :
( select(a_51,X0) = select(a_47,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f47,f35]) ).
fof(f91,plain,
select(a_51,i6) = e_50,
inference(paramodulation,[status(thm)],[f47,f33]) ).
fof(f92,plain,
a_55 = store(a_49,i1,e_52),
inference(forward_demodulation,[status(thm)],[f64,f48]) ).
fof(f93,plain,
! [X0] :
( select(a_55,X0) = select(a_49,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f92,f35]) ).
fof(f94,plain,
select(a_55,i1) = e_52,
inference(paramodulation,[status(thm)],[f92,f33]) ).
fof(f95,plain,
! [X0] :
( select(a_55,X0) = select(a_51,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f49,f35]) ).
fof(f96,plain,
select(a_55,i7) = e_54,
inference(paramodulation,[status(thm)],[f49,f33]) ).
fof(f97,plain,
( e_28 = select(a1,i1)
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f69,f68]) ).
fof(f98,plain,
( e_34 = select(a1,i2)
| i1 = i2 ),
inference(paramodulation,[status(thm)],[f53,f68]) ).
fof(f101,definition,
( sQ0_spl
<=> i1 = i1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f104,definition,
( sQ1_spl
<=> e_28 = select(a1,i1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f97,f101,f104]) ).
fof(f108,definition,
( sQ2_spl
<=> i1 = i2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ2_spl
| i1 = i2 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ3_spl
<=> e_34 = select(a1,i2) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ3_spl
| e_34 = select(a1,i2) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f98,f108,f111]) ).
fof(f118,plain,
( ~ sQ2_spl
| select(a_55,i2) = e_52 ),
inference(backward_demodulation,[status(thm)],[f109,f94]) ).
fof(f119,plain,
( ~ sQ2_spl
| a_55 = store(a_49,i2,e_52) ),
inference(backward_demodulation,[status(thm)],[f109,f92]) ).
fof(f120,plain,
( ~ sQ2_spl
| select(a_31,i2) = e_30 ),
inference(backward_demodulation,[status(thm)],[f109,f71]) ).
fof(f121,plain,
( ~ sQ2_spl
| a_31 = store(a2,i2,e_30) ),
inference(backward_demodulation,[status(thm)],[f109,f37]) ).
fof(f122,plain,
( ~ sQ2_spl
| select(a_29,i2) = e_28 ),
inference(backward_demodulation,[status(thm)],[f109,f69]) ).
fof(f123,plain,
( ~ sQ2_spl
| a_29 = store(a1,i2,e_28) ),
inference(backward_demodulation,[status(thm)],[f109,f36]) ).
fof(f124,plain,
( ~ sQ2_spl
| e_30 = select(a1,i2) ),
inference(backward_demodulation,[status(thm)],[f109,f51]) ).
fof(f125,plain,
( ~ sQ2_spl
| e_28 = select(a2,i2) ),
inference(backward_demodulation,[status(thm)],[f109,f50]) ).
fof(f126,plain,
( ~ sQ2_spl
| e_32 = e_30 ),
inference(forward_demodulation,[status(thm)],[f52,f120]) ).
fof(f127,plain,
( ~ sQ2_spl
| e_34 = e_28 ),
inference(forward_demodulation,[status(thm)],[f53,f122]) ).
fof(f128,plain,
( ~ sQ2_spl
| e_32 = select(a1,i2) ),
inference(forward_demodulation,[status(thm)],[f126,f124]) ).
fof(f131,plain,
( ~ sQ2_spl
| a_31 = store(a2,i2,e_32) ),
inference(forward_demodulation,[status(thm)],[f126,f121]) ).
fof(f134,plain,
( ~ sQ2_spl
| e_34 = select(a2,i2) ),
inference(forward_demodulation,[status(thm)],[f127,f125]) ).
fof(f135,plain,
( ~ sQ2_spl
| a_29 = store(a1,i2,e_34) ),
inference(forward_demodulation,[status(thm)],[f127,f123]) ).
fof(f138,plain,
! [X0] :
( ~ sQ2_spl
| select(a_31,X0) = select(a2,X0)
| i2 = X0 ),
inference(forward_demodulation,[status(thm)],[f109,f70]) ).
fof(f139,plain,
( ~ sQ2_spl
| e_32 = select(a2,i2)
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f52,f138]) ).
fof(f141,definition,
( sQ4_spl
<=> i2 = i2 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f144,definition,
( sQ5_spl
<=> e_32 = select(a2,i2) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ5_spl
| e_32 = select(a2,i2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ2_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f139,f141,f144,f108]) ).
fof(f149,plain,
! [X0] :
( select(a_55,X0) = select(a_49,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f92,f35]) ).
fof(f151,plain,
! [X0] :
( select(a_31,X0) = select(a2,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f37,f35]) ).
fof(f153,plain,
! [X0] :
( select(a_29,X0) = select(a1,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f36,f35]) ).
fof(f155,plain,
( select(a_33,i1) = e_28
| i2 = i1 ),
inference(paramodulation,[status(thm)],[f69,f72]) ).
fof(f156,plain,
( select(a_33,i2) = e_34
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f53,f72]) ).
fof(f159,definition,
( sQ6_spl
<=> select(a_33,i1) = e_28 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f155,f108,f159]) ).
fof(f163,definition,
( sQ7_spl
<=> select(a_33,i2) = e_34 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ7_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f156,f141,f163]) ).
fof(f189,plain,
( select(a_35,i2) = e_32
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f52,f74]) ).
fof(f191,definition,
( sQ8_spl
<=> select(a_35,i2) = e_32 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( sQ8_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f189,f141,f191]) ).
fof(f196,plain,
( select(a_37,i2) = e_32
| i3 = i2 ),
inference(paramodulation,[status(thm)],[f73,f76]) ).
fof(f197,plain,
( select(a_37,i3) = e_38
| i3 = i3 ),
inference(paramodulation,[status(thm)],[f55,f76]) ).
fof(f200,definition,
( sQ9_spl
<=> i3 = i2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ9_spl
| i3 = i2 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ10_spl
<=> select(a_37,i2) = e_32 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ10_spl
| select(a_37,i2) = e_32 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f196,f200,f203]) ).
fof(f207,definition,
( sQ11_spl
<=> i3 = i3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f210,definition,
( sQ12_spl
<=> select(a_37,i3) = e_38 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f197,f207,f210]) ).
fof(f216,plain,
( select(a_39,i2) = e_34
| i3 = i2 ),
inference(paramodulation,[status(thm)],[f75,f78]) ).
fof(f217,plain,
( select(a_39,i3) = e_36
| i3 = i3 ),
inference(paramodulation,[status(thm)],[f54,f78]) ).
fof(f220,definition,
( sQ13_spl
<=> select(a_39,i2) = e_34 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ13_spl
| select(a_39,i2) = e_34 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ13_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f216,f200,f220]) ).
fof(f224,definition,
( sQ14_spl
<=> select(a_39,i3) = e_36 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ14_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f217,f207,f224]) ).
fof(f230,plain,
( select(a_41,i3) = e_36
| i4 = i3 ),
inference(paramodulation,[status(thm)],[f77,f80]) ).
fof(f231,plain,
( select(a_41,i4) = e_42
| i4 = i4 ),
inference(paramodulation,[status(thm)],[f57,f80]) ).
fof(f234,definition,
( sQ15_spl
<=> i4 = i3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ15_spl
| i4 = i3 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ16_spl
<=> select(a_41,i3) = e_36 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f230,f234,f237]) ).
fof(f241,definition,
( sQ17_spl
<=> i4 = i4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f244,definition,
( sQ18_spl
<=> select(a_41,i4) = e_42 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f231,f241,f244]) ).
fof(f250,plain,
! [X0] :
( ~ sQ9_spl
| select(a_35,X0) = select(a_31,X0)
| i3 = X0 ),
inference(backward_demodulation,[status(thm)],[f201,f74]) ).
fof(f251,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| a_29 = store(a1,i3,e_34) ),
inference(backward_demodulation,[status(thm)],[f201,f135]) ).
fof(f252,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| e_34 = select(a2,i3) ),
inference(backward_demodulation,[status(thm)],[f201,f134]) ).
fof(f253,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| select(a_55,i3) = e_52 ),
inference(backward_demodulation,[status(thm)],[f201,f118]) ).
fof(f254,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| a_31 = store(a2,i3,e_32) ),
inference(backward_demodulation,[status(thm)],[f201,f131]) ).
fof(f255,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| a_55 = store(a_49,i3,e_52) ),
inference(backward_demodulation,[status(thm)],[f201,f119]) ).
fof(f256,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| e_32 = select(a1,i3) ),
inference(backward_demodulation,[status(thm)],[f201,f128]) ).
fof(f257,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| i1 = i3 ),
inference(backward_demodulation,[status(thm)],[f201,f109]) ).
fof(f258,plain,
! [X0] :
( ~ sQ9_spl
| select(a_33,X0) = select(a_29,X0)
| i3 = X0 ),
inference(backward_demodulation,[status(thm)],[f201,f72]) ).
fof(f259,plain,
( ~ sQ9_spl
| select(a_35,i3) = e_34 ),
inference(backward_demodulation,[status(thm)],[f201,f75]) ).
fof(f260,plain,
( ~ sQ9_spl
| a_35 = store(a_31,i3,e_34) ),
inference(backward_demodulation,[status(thm)],[f201,f39]) ).
fof(f261,plain,
( ~ sQ9_spl
| select(a_33,i3) = e_32 ),
inference(backward_demodulation,[status(thm)],[f201,f73]) ).
fof(f262,plain,
( ~ sQ9_spl
| a_33 = store(a_29,i3,e_32) ),
inference(backward_demodulation,[status(thm)],[f201,f38]) ).
fof(f263,plain,
( ~ sQ9_spl
| e_34 = select(a_29,i3) ),
inference(backward_demodulation,[status(thm)],[f201,f53]) ).
fof(f264,plain,
( ~ sQ9_spl
| e_32 = select(a_31,i3) ),
inference(backward_demodulation,[status(thm)],[f201,f52]) ).
fof(f265,plain,
( ~ sQ9_spl
| e_36 = e_34 ),
inference(forward_demodulation,[status(thm)],[f54,f259]) ).
fof(f266,plain,
( ~ sQ9_spl
| e_38 = e_32 ),
inference(forward_demodulation,[status(thm)],[f55,f261]) ).
fof(f267,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| i4 = i2 ),
inference(backward_demodulation,[status(thm)],[f235,f201]) ).
fof(f268,plain,
! [X0] :
( ~ sQ15_spl
| select(a_39,X0) = select(a_35,X0)
| i4 = X0 ),
inference(backward_demodulation,[status(thm)],[f235,f78]) ).
fof(f269,plain,
! [X0] :
( ~ sQ15_spl
| select(a_37,X0) = select(a_33,X0)
| i4 = X0 ),
inference(backward_demodulation,[status(thm)],[f235,f76]) ).
fof(f270,plain,
( ~ sQ15_spl
| select(a_39,i4) = e_38 ),
inference(backward_demodulation,[status(thm)],[f235,f79]) ).
fof(f271,plain,
( ~ sQ15_spl
| a_39 = store(a_35,i4,e_38) ),
inference(backward_demodulation,[status(thm)],[f235,f41]) ).
fof(f272,plain,
( ~ sQ15_spl
| select(a_37,i4) = e_36 ),
inference(backward_demodulation,[status(thm)],[f235,f77]) ).
fof(f273,plain,
( ~ sQ15_spl
| a_37 = store(a_33,i4,e_36) ),
inference(backward_demodulation,[status(thm)],[f235,f40]) ).
fof(f274,plain,
( ~ sQ15_spl
| e_38 = select(a_33,i4) ),
inference(backward_demodulation,[status(thm)],[f235,f55]) ).
fof(f275,plain,
( ~ sQ15_spl
| e_36 = select(a_35,i4) ),
inference(backward_demodulation,[status(thm)],[f235,f54]) ).
fof(f276,plain,
( ~ sQ15_spl
| e_40 = e_38 ),
inference(forward_demodulation,[status(thm)],[f56,f270]) ).
fof(f277,plain,
( ~ sQ15_spl
| e_42 = e_36 ),
inference(forward_demodulation,[status(thm)],[f57,f272]) ).
fof(f278,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| i1 = i4 ),
inference(forward_demodulation,[status(thm)],[f235,f257]) ).
fof(f279,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| e_36 = e_28 ),
inference(backward_demodulation,[status(thm)],[f265,f127]) ).
fof(f280,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| e_38 = e_30 ),
inference(backward_demodulation,[status(thm)],[f266,f126]) ).
fof(f281,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| e_40 = e_32 ),
inference(backward_demodulation,[status(thm)],[f276,f266]) ).
fof(f282,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| e_42 = e_34 ),
inference(backward_demodulation,[status(thm)],[f277,f265]) ).
fof(f283,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_42 = e_28 ),
inference(forward_demodulation,[status(thm)],[f277,f279]) ).
fof(f284,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_40 = e_30 ),
inference(forward_demodulation,[status(thm)],[f276,f280]) ).
fof(f285,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_42 = select(a2,i3) ),
inference(forward_demodulation,[status(thm)],[f282,f252]) ).
fof(f286,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_42 = select(a2,i4) ),
inference(forward_demodulation,[status(thm)],[f235,f285]) ).
fof(f287,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| select(a_55,i4) = e_52 ),
inference(forward_demodulation,[status(thm)],[f235,f253]) ).
fof(f288,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_40 = select(a1,i3) ),
inference(forward_demodulation,[status(thm)],[f281,f256]) ).
fof(f289,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_40 = select(a1,i4) ),
inference(forward_demodulation,[status(thm)],[f235,f288]) ).
fof(f290,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| a_29 = store(a1,i4,e_34) ),
inference(forward_demodulation,[status(thm)],[f235,f251]) ).
fof(f291,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| a_29 = store(a1,i4,e_42) ),
inference(forward_demodulation,[status(thm)],[f282,f290]) ).
fof(f292,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| select(a_29,X0) = select(a1,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f291,f35]) ).
fof(f294,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| a_31 = store(a2,i4,e_32) ),
inference(forward_demodulation,[status(thm)],[f235,f254]) ).
fof(f295,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| a_31 = store(a2,i4,e_40) ),
inference(forward_demodulation,[status(thm)],[f281,f294]) ).
fof(f296,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| select(a_31,X0) = select(a2,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f295,f35]) ).
fof(f298,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| a_55 = store(a_49,i4,e_52) ),
inference(forward_demodulation,[status(thm)],[f235,f255]) ).
fof(f299,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| select(a_55,X0) = select(a_49,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f298,f35]) ).
fof(f301,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| e_42 = select(a_29,i3) ),
inference(forward_demodulation,[status(thm)],[f282,f263]) ).
fof(f302,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| e_42 = select(a_29,i4) ),
inference(forward_demodulation,[status(thm)],[f235,f301]) ).
fof(f303,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| e_40 = select(a_31,i3) ),
inference(forward_demodulation,[status(thm)],[f281,f264]) ).
fof(f304,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| e_40 = select(a_31,i4) ),
inference(forward_demodulation,[status(thm)],[f235,f303]) ).
fof(f305,plain,
( ~ sQ15_spl
| e_40 = select(a_33,i4) ),
inference(forward_demodulation,[status(thm)],[f276,f274]) ).
fof(f306,plain,
( ~ sQ15_spl
| e_42 = select(a_35,i4) ),
inference(forward_demodulation,[status(thm)],[f277,f275]) ).
fof(f307,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| a_35 = store(a_31,i4,e_34) ),
inference(forward_demodulation,[status(thm)],[f235,f260]) ).
fof(f308,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| a_35 = store(a_31,i4,e_42) ),
inference(forward_demodulation,[status(thm)],[f282,f307]) ).
fof(f309,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| select(a_35,X0) = select(a_31,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f308,f35]) ).
fof(f311,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| a_33 = store(a_29,i4,e_32) ),
inference(forward_demodulation,[status(thm)],[f235,f262]) ).
fof(f312,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| a_33 = store(a_29,i4,e_40) ),
inference(forward_demodulation,[status(thm)],[f281,f311]) ).
fof(f313,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| select(a_33,X0) = select(a_29,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f312,f35]) ).
fof(f315,plain,
( ~ sQ15_spl
| a_39 = store(a_35,i4,e_40) ),
inference(forward_demodulation,[status(thm)],[f276,f271]) ).
fof(f316,plain,
! [X0] :
( ~ sQ15_spl
| select(a_39,X0) = select(a_35,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f315,f35]) ).
fof(f318,plain,
( ~ sQ15_spl
| a_37 = store(a_33,i4,e_42) ),
inference(forward_demodulation,[status(thm)],[f277,f273]) ).
fof(f319,plain,
! [X0] :
( ~ sQ15_spl
| select(a_37,X0) = select(a_33,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f318,f35]) ).
fof(f321,plain,
( select(a_43,i4) = e_40
| i4 = i4 ),
inference(paramodulation,[status(thm)],[f56,f82]) ).
fof(f323,definition,
( sQ19_spl
<=> select(a_43,i4) = e_40 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ19_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f321,f241,f323]) ).
fof(f328,plain,
( select(a_45,i4) = e_40
| i5 = i4 ),
inference(paramodulation,[status(thm)],[f81,f84]) ).
fof(f329,plain,
( select(a_45,i5) = e_46
| i5 = i5 ),
inference(paramodulation,[status(thm)],[f59,f84]) ).
fof(f332,definition,
( sQ20_spl
<=> i5 = i4 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ20_spl
| i5 = i4 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
( sQ21_spl
<=> select(a_45,i4) = e_40 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f328,f332,f335]) ).
fof(f339,definition,
( sQ22_spl
<=> i5 = i5 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f342,definition,
( sQ23_spl
<=> select(a_45,i5) = e_46 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f329,f339,f342]) ).
fof(f348,plain,
! [X0] :
( ~ sQ20_spl
| select(a_43,X0) = select(a_39,X0)
| i5 = X0 ),
inference(backward_demodulation,[status(thm)],[f333,f82]) ).
fof(f349,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| a_37 = store(a_33,i5,e_42) ),
inference(backward_demodulation,[status(thm)],[f333,f318]) ).
fof(f350,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| a_39 = store(a_35,i5,e_40) ),
inference(backward_demodulation,[status(thm)],[f333,f315]) ).
fof(f351,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_33 = store(a_29,i5,e_40) ),
inference(backward_demodulation,[status(thm)],[f333,f312]) ).
fof(f352,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_35 = store(a_31,i5,e_42) ),
inference(backward_demodulation,[status(thm)],[f333,f308]) ).
fof(f353,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| e_42 = select(a_35,i5) ),
inference(backward_demodulation,[status(thm)],[f333,f306]) ).
fof(f354,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| e_40 = select(a_33,i5) ),
inference(backward_demodulation,[status(thm)],[f333,f305]) ).
fof(f355,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_40 = select(a_31,i5) ),
inference(backward_demodulation,[status(thm)],[f333,f304]) ).
fof(f356,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_42 = select(a_29,i5) ),
inference(backward_demodulation,[status(thm)],[f333,f302]) ).
fof(f357,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_55 = store(a_49,i5,e_52) ),
inference(backward_demodulation,[status(thm)],[f333,f298]) ).
fof(f358,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_31 = store(a2,i5,e_40) ),
inference(backward_demodulation,[status(thm)],[f333,f295]) ).
fof(f359,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_29 = store(a1,i5,e_42) ),
inference(backward_demodulation,[status(thm)],[f333,f291]) ).
fof(f360,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_40 = select(a1,i5) ),
inference(backward_demodulation,[status(thm)],[f333,f289]) ).
fof(f361,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| select(a_55,i5) = e_52 ),
inference(backward_demodulation,[status(thm)],[f333,f287]) ).
fof(f362,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_42 = select(a2,i5) ),
inference(backward_demodulation,[status(thm)],[f333,f286]) ).
fof(f363,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| i5 = i2 ),
inference(backward_demodulation,[status(thm)],[f333,f267]) ).
fof(f364,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| i1 = i5 ),
inference(backward_demodulation,[status(thm)],[f333,f278]) ).
fof(f365,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| i5 = i3 ),
inference(backward_demodulation,[status(thm)],[f333,f235]) ).
fof(f366,plain,
! [X0] :
( ~ sQ20_spl
| select(a_41,X0) = select(a_37,X0)
| i5 = X0 ),
inference(backward_demodulation,[status(thm)],[f333,f80]) ).
fof(f367,plain,
( ~ sQ20_spl
| select(a_43,i5) = e_42 ),
inference(backward_demodulation,[status(thm)],[f333,f83]) ).
fof(f368,plain,
( ~ sQ20_spl
| a_43 = store(a_39,i5,e_42) ),
inference(backward_demodulation,[status(thm)],[f333,f43]) ).
fof(f369,plain,
( ~ sQ20_spl
| select(a_41,i5) = e_40 ),
inference(backward_demodulation,[status(thm)],[f333,f81]) ).
fof(f370,plain,
( ~ sQ20_spl
| a_41 = store(a_37,i5,e_40) ),
inference(backward_demodulation,[status(thm)],[f333,f42]) ).
fof(f371,plain,
( ~ sQ20_spl
| e_42 = select(a_37,i5) ),
inference(backward_demodulation,[status(thm)],[f333,f57]) ).
fof(f372,plain,
( ~ sQ20_spl
| e_40 = select(a_39,i5) ),
inference(backward_demodulation,[status(thm)],[f333,f56]) ).
fof(f373,plain,
( ~ sQ20_spl
| e_44 = e_42 ),
inference(forward_demodulation,[status(thm)],[f58,f367]) ).
fof(f374,plain,
( ~ sQ20_spl
| e_46 = e_40 ),
inference(forward_demodulation,[status(thm)],[f59,f369]) ).
fof(f375,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| select(a_37,X0) = select(a_33,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f349,f35]) ).
fof(f377,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| select(a_39,X0) = select(a_35,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f350,f35]) ).
fof(f379,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| a_37 = store(a_33,i5,e_44) ),
inference(backward_demodulation,[status(thm)],[f373,f349]) ).
fof(f380,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_44 = e_34 ),
inference(backward_demodulation,[status(thm)],[f373,f282]) ).
fof(f381,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_44 = e_28 ),
inference(backward_demodulation,[status(thm)],[f373,f283]) ).
fof(f382,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| e_44 = e_36 ),
inference(backward_demodulation,[status(thm)],[f373,f277]) ).
fof(f383,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| a_39 = store(a_35,i5,e_46) ),
inference(backward_demodulation,[status(thm)],[f374,f350]) ).
fof(f384,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_46 = e_32 ),
inference(backward_demodulation,[status(thm)],[f374,f281]) ).
fof(f385,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_46 = e_30 ),
inference(backward_demodulation,[status(thm)],[f374,f284]) ).
fof(f386,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| e_46 = e_38 ),
inference(backward_demodulation,[status(thm)],[f374,f276]) ).
fof(f387,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| e_44 = select(a_35,i5) ),
inference(forward_demodulation,[status(thm)],[f373,f353]) ).
fof(f388,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| e_46 = select(a_33,i5) ),
inference(forward_demodulation,[status(thm)],[f374,f354]) ).
fof(f389,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_46 = select(a_31,i5) ),
inference(forward_demodulation,[status(thm)],[f374,f355]) ).
fof(f390,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_44 = select(a_29,i5) ),
inference(forward_demodulation,[status(thm)],[f373,f356]) ).
fof(f391,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_46 = select(a1,i5) ),
inference(forward_demodulation,[status(thm)],[f374,f360]) ).
fof(f392,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_44 = select(a2,i5) ),
inference(forward_demodulation,[status(thm)],[f373,f362]) ).
fof(f393,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_33 = store(a_29,i5,e_46) ),
inference(forward_demodulation,[status(thm)],[f374,f351]) ).
fof(f394,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| select(a_33,X0) = select(a_29,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f393,f35]) ).
fof(f396,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_35 = store(a_31,i5,e_44) ),
inference(forward_demodulation,[status(thm)],[f373,f352]) ).
fof(f397,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| select(a_35,X0) = select(a_31,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f396,f35]) ).
fof(f399,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| select(a_55,X0) = select(a_49,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f357,f35]) ).
fof(f401,plain,
( ~ sQ20_spl
| e_44 = select(a_37,i5) ),
inference(forward_demodulation,[status(thm)],[f373,f371]) ).
fof(f402,plain,
( ~ sQ20_spl
| e_46 = select(a_39,i5) ),
inference(forward_demodulation,[status(thm)],[f374,f372]) ).
fof(f405,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_31 = store(a2,i5,e_46) ),
inference(forward_demodulation,[status(thm)],[f374,f358]) ).
fof(f406,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| select(a_31,X0) = select(a2,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f405,f35]) ).
fof(f408,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_29 = store(a1,i5,e_44) ),
inference(forward_demodulation,[status(thm)],[f373,f359]) ).
fof(f409,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| select(a_29,X0) = select(a1,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f408,f35]) ).
fof(f411,plain,
( ~ sQ20_spl
| a_43 = store(a_39,i5,e_44) ),
inference(forward_demodulation,[status(thm)],[f373,f368]) ).
fof(f412,plain,
! [X0] :
( ~ sQ20_spl
| select(a_43,X0) = select(a_39,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f411,f35]) ).
fof(f414,plain,
( ~ sQ20_spl
| a_41 = store(a_37,i5,e_46) ),
inference(forward_demodulation,[status(thm)],[f374,f370]) ).
fof(f415,plain,
! [X0] :
( ~ sQ20_spl
| select(a_41,X0) = select(a_37,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f414,f35]) ).
fof(f417,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| select(a_37,X0) = select(a_33,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f379,f35]) ).
fof(f419,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| select(a_39,X0) = select(a_35,X0)
| i5 = X0 ),
inference(paramodulation,[status(thm)],[f383,f35]) ).
fof(f421,plain,
( select(a_47,i5) = e_44
| i5 = i5 ),
inference(paramodulation,[status(thm)],[f58,f86]) ).
fof(f423,definition,
( sQ24_spl
<=> select(a_47,i5) = e_44 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( sQ24_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f421,f339,f423]) ).
fof(f428,plain,
( select(a_49,i5) = e_44
| i6 = i5 ),
inference(paramodulation,[status(thm)],[f85,f88]) ).
fof(f429,plain,
( select(a_49,i6) = e_50
| i6 = i6 ),
inference(paramodulation,[status(thm)],[f61,f88]) ).
fof(f432,definition,
( sQ25_spl
<=> i6 = i5 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ25_spl
| i6 = i5 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ26_spl
<=> select(a_49,i5) = e_44 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f428,f432,f435]) ).
fof(f439,definition,
( sQ27_spl
<=> i6 = i6 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f442,definition,
( sQ28_spl
<=> select(a_49,i6) = e_50 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f429,f439,f442]) ).
fof(f448,plain,
! [X0] :
( ~ sQ25_spl
| select(a_47,X0) = select(a_43,X0)
| i6 = X0 ),
inference(backward_demodulation,[status(thm)],[f433,f86]) ).
fof(f449,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_39 = store(a_35,i6,e_46) ),
inference(backward_demodulation,[status(thm)],[f433,f383]) ).
fof(f450,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_37 = store(a_33,i6,e_44) ),
inference(backward_demodulation,[status(thm)],[f433,f379]) ).
fof(f451,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| a_41 = store(a_37,i6,e_46) ),
inference(backward_demodulation,[status(thm)],[f433,f414]) ).
fof(f452,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| a_43 = store(a_39,i6,e_44) ),
inference(backward_demodulation,[status(thm)],[f433,f411]) ).
fof(f453,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_29 = store(a1,i6,e_44) ),
inference(backward_demodulation,[status(thm)],[f433,f408]) ).
fof(f454,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_31 = store(a2,i6,e_46) ),
inference(backward_demodulation,[status(thm)],[f433,f405]) ).
fof(f455,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| e_46 = select(a_39,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f402]) ).
fof(f456,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| e_44 = select(a_37,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f401]) ).
fof(f457,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_55 = store(a_49,i6,e_52) ),
inference(backward_demodulation,[status(thm)],[f433,f357]) ).
fof(f458,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_35 = store(a_31,i6,e_44) ),
inference(backward_demodulation,[status(thm)],[f433,f396]) ).
fof(f459,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_33 = store(a_29,i6,e_46) ),
inference(backward_demodulation,[status(thm)],[f433,f393]) ).
fof(f460,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_44 = select(a2,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f392]) ).
fof(f461,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_55,i6) = e_52 ),
inference(backward_demodulation,[status(thm)],[f433,f361]) ).
fof(f462,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_46 = select(a1,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f391]) ).
fof(f463,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_44 = select(a_29,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f390]) ).
fof(f464,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_46 = select(a_31,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f389]) ).
fof(f465,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_46 = select(a_33,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f388]) ).
fof(f466,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_44 = select(a_35,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f387]) ).
fof(f467,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| i6 = i3 ),
inference(backward_demodulation,[status(thm)],[f433,f365]) ).
fof(f468,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| i1 = i6 ),
inference(backward_demodulation,[status(thm)],[f433,f364]) ).
fof(f469,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| i6 = i2 ),
inference(backward_demodulation,[status(thm)],[f433,f363]) ).
fof(f470,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| i6 = i4 ),
inference(backward_demodulation,[status(thm)],[f433,f333]) ).
fof(f471,plain,
! [X0] :
( ~ sQ25_spl
| select(a_45,X0) = select(a_41,X0)
| i6 = X0 ),
inference(backward_demodulation,[status(thm)],[f433,f84]) ).
fof(f472,plain,
( ~ sQ25_spl
| select(a_47,i6) = e_46 ),
inference(backward_demodulation,[status(thm)],[f433,f87]) ).
fof(f473,plain,
( ~ sQ25_spl
| select(a_45,i6) = e_44 ),
inference(backward_demodulation,[status(thm)],[f433,f85]) ).
fof(f474,plain,
( ~ sQ25_spl
| a_47 = store(a_43,i6,e_46) ),
inference(backward_demodulation,[status(thm)],[f433,f45]) ).
fof(f475,plain,
( ~ sQ25_spl
| a_45 = store(a_41,i6,e_44) ),
inference(backward_demodulation,[status(thm)],[f433,f44]) ).
fof(f476,plain,
( ~ sQ25_spl
| e_46 = select(a_41,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f59]) ).
fof(f477,plain,
( ~ sQ25_spl
| e_44 = select(a_43,i6) ),
inference(backward_demodulation,[status(thm)],[f433,f58]) ).
fof(f478,plain,
( ~ sQ25_spl
| e_48 = e_46 ),
inference(forward_demodulation,[status(thm)],[f60,f472]) ).
fof(f479,plain,
( ~ sQ25_spl
| e_50 = e_44 ),
inference(forward_demodulation,[status(thm)],[f61,f473]) ).
fof(f480,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_39,X0) = select(a_35,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f449,f35]) ).
fof(f482,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_37,X0) = select(a_33,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f450,f35]) ).
fof(f484,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_39 = store(a_35,i6,e_48) ),
inference(backward_demodulation,[status(thm)],[f478,f449]) ).
fof(f485,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = e_38 ),
inference(backward_demodulation,[status(thm)],[f478,f386]) ).
fof(f486,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = e_30 ),
inference(backward_demodulation,[status(thm)],[f478,f385]) ).
fof(f487,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = e_32 ),
inference(backward_demodulation,[status(thm)],[f478,f384]) ).
fof(f488,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| e_48 = e_40 ),
inference(backward_demodulation,[status(thm)],[f478,f374]) ).
fof(f489,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_37 = store(a_33,i6,e_50) ),
inference(backward_demodulation,[status(thm)],[f479,f450]) ).
fof(f490,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = e_36 ),
inference(backward_demodulation,[status(thm)],[f479,f382]) ).
fof(f491,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = e_28 ),
inference(backward_demodulation,[status(thm)],[f479,f381]) ).
fof(f492,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = e_34 ),
inference(backward_demodulation,[status(thm)],[f479,f380]) ).
fof(f493,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| e_50 = e_42 ),
inference(backward_demodulation,[status(thm)],[f479,f373]) ).
fof(f494,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| e_48 = select(a_39,i6) ),
inference(forward_demodulation,[status(thm)],[f478,f455]) ).
fof(f495,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| e_50 = select(a_37,i6) ),
inference(forward_demodulation,[status(thm)],[f479,f456]) ).
fof(f496,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = select(a2,i6) ),
inference(forward_demodulation,[status(thm)],[f479,f460]) ).
fof(f497,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| a_41 = store(a_37,i6,e_48) ),
inference(forward_demodulation,[status(thm)],[f478,f451]) ).
fof(f498,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| select(a_41,X0) = select(a_37,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f497,f35]) ).
fof(f500,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| a_43 = store(a_39,i6,e_50) ),
inference(forward_demodulation,[status(thm)],[f479,f452]) ).
fof(f501,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| select(a_43,X0) = select(a_39,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f500,f35]) ).
fof(f503,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_29 = store(a1,i6,e_50) ),
inference(forward_demodulation,[status(thm)],[f479,f453]) ).
fof(f504,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_29,X0) = select(a1,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f503,f35]) ).
fof(f506,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = select(a1,i6) ),
inference(forward_demodulation,[status(thm)],[f478,f462]) ).
fof(f507,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = select(a_29,i6) ),
inference(forward_demodulation,[status(thm)],[f479,f463]) ).
fof(f508,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = select(a_31,i6) ),
inference(forward_demodulation,[status(thm)],[f478,f464]) ).
fof(f509,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = select(a_33,i6) ),
inference(forward_demodulation,[status(thm)],[f478,f465]) ).
fof(f510,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = select(a_35,i6) ),
inference(forward_demodulation,[status(thm)],[f479,f466]) ).
fof(f511,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_31 = store(a2,i6,e_48) ),
inference(forward_demodulation,[status(thm)],[f478,f454]) ).
fof(f512,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_31,X0) = select(a2,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f511,f35]) ).
fof(f514,plain,
( ~ sQ25_spl
| e_48 = select(a_41,i6) ),
inference(forward_demodulation,[status(thm)],[f478,f476]) ).
fof(f515,plain,
( ~ sQ25_spl
| e_50 = select(a_43,i6) ),
inference(forward_demodulation,[status(thm)],[f479,f477]) ).
fof(f518,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_55,X0) = select(a_49,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f457,f35]) ).
fof(f520,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_35 = store(a_31,i6,e_50) ),
inference(forward_demodulation,[status(thm)],[f479,f458]) ).
fof(f521,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_35,X0) = select(a_31,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f520,f35]) ).
fof(f523,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_33 = store(a_29,i6,e_48) ),
inference(forward_demodulation,[status(thm)],[f478,f459]) ).
fof(f524,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_33,X0) = select(a_29,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f523,f35]) ).
fof(f526,plain,
( ~ sQ25_spl
| a_47 = store(a_43,i6,e_48) ),
inference(forward_demodulation,[status(thm)],[f478,f474]) ).
fof(f527,plain,
! [X0] :
( ~ sQ25_spl
| select(a_47,X0) = select(a_43,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f526,f35]) ).
fof(f529,plain,
( ~ sQ25_spl
| a_45 = store(a_41,i6,e_50) ),
inference(forward_demodulation,[status(thm)],[f479,f475]) ).
fof(f530,plain,
! [X0] :
( ~ sQ25_spl
| select(a_45,X0) = select(a_41,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f529,f35]) ).
fof(f532,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_39,X0) = select(a_35,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f484,f35]) ).
fof(f534,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_37,X0) = select(a_33,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f489,f35]) ).
fof(f536,plain,
( select(a_51,i6) = e_48
| i6 = i6 ),
inference(paramodulation,[status(thm)],[f60,f90]) ).
fof(f538,definition,
( sQ29_spl
<=> select(a_51,i6) = e_48 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( sQ29_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f536,f439,f538]) ).
fof(f543,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_55,X0) = select(a_49,X0)
| i6 = X0 ),
inference(forward_demodulation,[status(thm)],[f468,f93]) ).
fof(f544,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_55,i6) = e_48
| i6 = i6 ),
inference(paramodulation,[status(thm)],[f89,f543]) ).
fof(f545,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_55,i7) = e_54
| i6 = i7 ),
inference(paramodulation,[status(thm)],[f63,f543]) ).
fof(f548,definition,
( sQ30_spl
<=> select(a_55,i6) = e_48 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ30_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f544,f439,f548,f432,f332,f234,f200,f108]) ).
fof(f552,definition,
( sQ31_spl
<=> i6 = i7 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ31_spl
| i6 = i7 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ32_spl
<=> select(a_55,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ32_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f545,f552,f555,f432,f332,f234,f200,f108]) ).
fof(f561,plain,
! [X0] :
( ~ sQ2_spl
| select(a_29,X0) = select(a1,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f135,f35]) ).
fof(f563,plain,
! [X0] :
( ~ sQ2_spl
| select(a_31,X0) = select(a2,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f131,f35]) ).
fof(f565,plain,
! [X0] :
( ~ sQ2_spl
| select(a_55,X0) = select(a_49,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f119,f35]) ).
fof(f567,plain,
! [X0] :
( select(a_35,X0) = select(a_31,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f39,f35]) ).
fof(f569,plain,
! [X0] :
( select(a_33,X0) = select(a_29,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f38,f35]) ).
fof(f571,plain,
( select(a_55,i6) = e_50
| i7 = i6 ),
inference(paramodulation,[status(thm)],[f91,f95]) ).
fof(f572,plain,
( select(a_55,i7) = e_52
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f62,f95]) ).
fof(f575,definition,
( sQ33_spl
<=> select(a_55,i6) = e_50 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ33_spl
| select(a_55,i6) = e_50 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( sQ33_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f571,f552,f575]) ).
fof(f579,definition,
( sQ34_spl
<=> i7 = i7 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f582,definition,
( sQ35_spl
<=> select(a_55,i7) = e_52 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f572,f579,f582]) ).
fof(f588,plain,
! [X0] :
( ~ sQ2_spl
| select(a_31,X0) = select(a2,X0)
| i2 = X0 ),
inference(forward_demodulation,[status(thm)],[f109,f70]) ).
fof(f594,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_37 = store(a_33,i7,e_50) ),
inference(backward_demodulation,[status(thm)],[f553,f489]) ).
fof(f595,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_39 = store(a_35,i7,e_48) ),
inference(backward_demodulation,[status(thm)],[f553,f484]) ).
fof(f596,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| a_45 = store(a_41,i7,e_50) ),
inference(backward_demodulation,[status(thm)],[f553,f529]) ).
fof(f597,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| a_47 = store(a_43,i7,e_48) ),
inference(backward_demodulation,[status(thm)],[f553,f526]) ).
fof(f598,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e_50 = select(a_43,i7) ),
inference(backward_demodulation,[status(thm)],[f553,f515]) ).
fof(f599,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e_48 = select(a_41,i7) ),
inference(backward_demodulation,[status(thm)],[f553,f514]) ).
fof(f600,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_50 = select(a_35,i7) ),
inference(backward_demodulation,[status(thm)],[f553,f510]) ).
fof(f601,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_48 = select(a_33,i7) ),
inference(backward_demodulation,[status(thm)],[f553,f509]) ).
fof(f602,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_43 = store(a_39,i7,e_50) ),
inference(backward_demodulation,[status(thm)],[f553,f500]) ).
fof(f603,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_41 = store(a_37,i7,e_48) ),
inference(backward_demodulation,[status(thm)],[f553,f497]) ).
fof(f604,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_50 = select(a_37,i7) ),
inference(backward_demodulation,[status(thm)],[f553,f495]) ).
fof(f605,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_48 = select(a_39,i7) ),
inference(backward_demodulation,[status(thm)],[f553,f494]) ).
fof(f606,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| i7 = i4 ),
inference(backward_demodulation,[status(thm)],[f553,f470]) ).
fof(f607,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| i7 = i3 ),
inference(backward_demodulation,[status(thm)],[f553,f467]) ).
fof(f608,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| i7 = i5 ),
inference(backward_demodulation,[status(thm)],[f553,f433]) ).
fof(f610,plain,
( ~ sQ31_spl
| select(a_51,i7) = e_50 ),
inference(backward_demodulation,[status(thm)],[f553,f91]) ).
fof(f611,plain,
( ~ sQ31_spl
| a_51 = store(a_47,i7,e_50) ),
inference(backward_demodulation,[status(thm)],[f553,f47]) ).
fof(f612,plain,
( ~ sQ31_spl
| select(a_49,i7) = e_48 ),
inference(backward_demodulation,[status(thm)],[f553,f89]) ).
fof(f613,plain,
( ~ sQ31_spl
| a_49 = store(a_45,i7,e_48) ),
inference(backward_demodulation,[status(thm)],[f553,f46]) ).
fof(f614,plain,
( ~ sQ31_spl
| e_50 = select(a_45,i7) ),
inference(backward_demodulation,[status(thm)],[f553,f61]) ).
fof(f615,plain,
( ~ sQ31_spl
| e_48 = select(a_47,i7) ),
inference(backward_demodulation,[status(thm)],[f553,f60]) ).
fof(f616,plain,
( ~ sQ31_spl
| e_52 = e_50 ),
inference(forward_demodulation,[status(thm)],[f62,f610]) ).
fof(f617,plain,
( ~ sQ31_spl
| e_54 = e_48 ),
inference(forward_demodulation,[status(thm)],[f63,f612]) ).
fof(f618,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_52 = e_42 ),
inference(backward_demodulation,[status(thm)],[f616,f493]) ).
fof(f619,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_52 = e_36 ),
inference(backward_demodulation,[status(thm)],[f616,f490]) ).
fof(f620,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e_52 = e_44 ),
inference(backward_demodulation,[status(thm)],[f616,f479]) ).
fof(f621,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_40 ),
inference(backward_demodulation,[status(thm)],[f617,f488]) ).
fof(f622,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_38 ),
inference(backward_demodulation,[status(thm)],[f617,f485]) ).
fof(f623,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_46 ),
inference(backward_demodulation,[status(thm)],[f617,f478]) ).
fof(f624,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_37 = store(a_33,i7,e_52) ),
inference(forward_demodulation,[status(thm)],[f616,f594]) ).
fof(f627,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_39 = store(a_35,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f617,f595]) ).
fof(f630,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e_52 = select(a_43,i7) ),
inference(forward_demodulation,[status(thm)],[f616,f598]) ).
fof(f631,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e_54 = select(a_41,i7) ),
inference(forward_demodulation,[status(thm)],[f617,f599]) ).
fof(f632,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_52 = select(a_35,i7) ),
inference(forward_demodulation,[status(thm)],[f616,f600]) ).
fof(f633,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = select(a_33,i7) ),
inference(forward_demodulation,[status(thm)],[f617,f601]) ).
fof(f634,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_52 = select(a_37,i7) ),
inference(forward_demodulation,[status(thm)],[f616,f604]) ).
fof(f635,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = select(a_39,i7) ),
inference(forward_demodulation,[status(thm)],[f617,f605]) ).
fof(f636,plain,
( ~ sQ31_spl
| e_52 = select(a_45,i7) ),
inference(forward_demodulation,[status(thm)],[f616,f614]) ).
fof(f637,plain,
( ~ sQ31_spl
| e_54 = select(a_47,i7) ),
inference(forward_demodulation,[status(thm)],[f617,f615]) ).
fof(f638,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| a_45 = store(a_41,i7,e_52) ),
inference(forward_demodulation,[status(thm)],[f616,f596]) ).
fof(f641,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| a_47 = store(a_43,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f617,f597]) ).
fof(f644,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_43 = store(a_39,i7,e_52) ),
inference(forward_demodulation,[status(thm)],[f616,f602]) ).
fof(f647,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_41 = store(a_37,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f617,f603]) ).
fof(f650,plain,
( ~ sQ31_spl
| a_51 = store(a_47,i7,e_52) ),
inference(forward_demodulation,[status(thm)],[f616,f611]) ).
fof(f653,plain,
( ~ sQ31_spl
| a_49 = store(a_45,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f617,f613]) ).
fof(f656,plain,
! [X0] :
( ~ sQ2_spl
| select(a_29,X0) = select(a1,X0)
| i2 = X0 ),
inference(forward_demodulation,[status(thm)],[f109,f68]) ).
fof(f657,plain,
( ~ sQ2_spl
| e_34 = select(a1,i2)
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f53,f656]) ).
fof(f659,plain,
( ~ sQ2_spl
| sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f657,f141,f111,f108]) ).
fof(f661,plain,
! [X0] :
( ~ sQ2_spl
| select(a_55,X0) = select(a_49,X0)
| i2 = X0 ),
inference(forward_demodulation,[status(thm)],[f109,f149]) ).
fof(f662,plain,
( ~ sQ2_spl
| select(a_55,i7) = e_54
| i2 = i7 ),
inference(paramodulation,[status(thm)],[f63,f661]) ).
fof(f664,definition,
( sQ36_spl
<=> i2 = i7 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ36_spl
| i2 = i7 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( ~ sQ2_spl
| sQ32_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f662,f664,f555,f108]) ).
fof(f671,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_39,X0) = select(a_35,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f606,f268]) ).
fof(f672,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_39,i7) = e_52
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f632,f671]) ).
fof(f673,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_39,i2) = e_34
| i7 = i2 ),
inference(paramodulation,[status(thm)],[f75,f671]) ).
fof(f676,definition,
( sQ37_spl
<=> select(a_39,i7) = e_52 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| sQ37_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f672,f579,f676,f552,f432,f332,f234]) ).
fof(f680,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| sQ13_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f673,f664,f220,f552,f432,f332,f234]) ).
fof(f683,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ36_spl
| select(a_55,X0) = select(a_49,X0)
| i7 = X0 ),
inference(backward_demodulation,[status(thm)],[f665,f661]) ).
fof(f684,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ36_spl
| select(a_29,X0) = select(a1,X0)
| i7 = X0 ),
inference(backward_demodulation,[status(thm)],[f665,f656]) ).
fof(f685,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ36_spl
| select(a_31,X0) = select(a2,X0)
| i7 = X0 ),
inference(backward_demodulation,[status(thm)],[f665,f588]) ).
fof(f686,plain,
( ~ sQ36_spl
| a_33 = store(a_29,i7,e_32) ),
inference(backward_demodulation,[status(thm)],[f665,f38]) ).
fof(f687,plain,
( ~ sQ36_spl
| a_35 = store(a_31,i7,e_34) ),
inference(backward_demodulation,[status(thm)],[f665,f39]) ).
fof(f688,plain,
( ~ sQ36_spl
| e_32 = select(a_31,i7) ),
inference(backward_demodulation,[status(thm)],[f665,f52]) ).
fof(f689,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| a_55 = store(a_49,i7,e_52) ),
inference(backward_demodulation,[status(thm)],[f665,f119]) ).
fof(f690,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| a_31 = store(a2,i7,e_32) ),
inference(backward_demodulation,[status(thm)],[f665,f131]) ).
fof(f691,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| a_29 = store(a1,i7,e_34) ),
inference(backward_demodulation,[status(thm)],[f665,f135]) ).
fof(f692,plain,
( ~ sQ36_spl
| e_34 = select(a_29,i7) ),
inference(backward_demodulation,[status(thm)],[f665,f53]) ).
fof(f693,plain,
( ~ sQ36_spl
| select(a_33,i7) = e_32 ),
inference(backward_demodulation,[status(thm)],[f665,f73]) ).
fof(f694,plain,
( ~ sQ36_spl
| select(a_35,i7) = e_34 ),
inference(backward_demodulation,[status(thm)],[f665,f75]) ).
fof(f695,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| e_32 = select(a1,i7) ),
inference(backward_demodulation,[status(thm)],[f665,f128]) ).
fof(f696,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| select(a_55,i7) = e_52 ),
inference(backward_demodulation,[status(thm)],[f665,f118]) ).
fof(f697,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| e_34 = select(a2,i7) ),
inference(backward_demodulation,[status(thm)],[f665,f134]) ).
fof(f698,plain,
( ~ sQ13_spl
| ~ sQ36_spl
| select(a_39,i7) = e_34 ),
inference(backward_demodulation,[status(thm)],[f665,f221]) ).
fof(f699,plain,
( ~ sQ10_spl
| ~ sQ36_spl
| select(a_37,i7) = e_32 ),
inference(backward_demodulation,[status(thm)],[f665,f204]) ).
fof(f700,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| i1 = i7 ),
inference(backward_demodulation,[status(thm)],[f665,f109]) ).
fof(f701,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| e_54 = e_52 ),
inference(forward_demodulation,[status(thm)],[f96,f696]) ).
fof(f702,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_37,X0) = select(a_33,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f489,f35]) ).
fof(f704,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_39,X0) = select(a_35,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f484,f35]) ).
fof(f706,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| e_54 = select(a_51,i7) ),
inference(backward_demodulation,[status(thm)],[f701,f62]) ).
fof(f707,plain,
! [X0] :
( ~ sQ25_spl
| select(a_45,X0) = select(a_41,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f529,f35]) ).
fof(f709,plain,
! [X0] :
( ~ sQ25_spl
| select(a_47,X0) = select(a_43,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f526,f35]) ).
fof(f711,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| select(a_43,X0) = select(a_39,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f500,f35]) ).
fof(f717,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| select(a_41,X0) = select(a_37,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f497,f35]) ).
fof(f719,plain,
! [X0] :
( select(a_51,X0) = select(a_47,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f47,f35]) ).
fof(f721,plain,
! [X0] :
( select(a_49,X0) = select(a_45,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f46,f35]) ).
fof(f723,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| i7 = i7
| e_54 = select(a_55,i7) ),
inference(paramodulation,[status(thm)],[f95,f706]) ).
fof(f725,plain,
( ~ sQ2_spl
| ~ sQ36_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f723,f555,f579,f664,f108]) ).
fof(f731,plain,
! [X0] :
( select(a_33,X0) = select(a_29,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f38,f35]) ).
fof(f733,plain,
! [X0] :
( select(a_35,X0) = select(a_31,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f39,f35]) ).
fof(f735,plain,
! [X0] :
( ~ sQ2_spl
| select(a_55,X0) = select(a_49,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f119,f35]) ).
fof(f737,plain,
! [X0] :
( ~ sQ2_spl
| select(a_31,X0) = select(a2,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f131,f35]) ).
fof(f739,plain,
! [X0] :
( ~ sQ2_spl
| select(a_29,X0) = select(a1,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f135,f35]) ).
fof(f741,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_37,X0) = select(a_33,X0)
| i6 = X0 ),
inference(forward_demodulation,[status(thm)],[f470,f269]) ).
fof(f742,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_37,i2) = e_32
| i6 = i2 ),
inference(paramodulation,[status(thm)],[f73,f741]) ).
fof(f743,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_37,i6) = e_48
| i6 = i6 ),
inference(paramodulation,[status(thm)],[f509,f741]) ).
fof(f746,definition,
( sQ38_spl
<=> i6 = i2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ38_spl
| i6 = i2 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ10_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f742,f746,f203,f432,f332,f234]) ).
fof(f750,definition,
( sQ39_spl
<=> select(a_37,i6) = e_48 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ39_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f743,f439,f750,f432,f332,f234]) ).
fof(f756,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_39,X0) = select(a_35,X0)
| i6 = X0 ),
inference(forward_demodulation,[status(thm)],[f470,f316]) ).
fof(f757,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_39,i2) = e_34
| i6 = i2 ),
inference(paramodulation,[status(thm)],[f75,f756]) ).
fof(f758,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_39,i6) = e_50
| i6 = i6 ),
inference(paramodulation,[status(thm)],[f510,f756]) ).
fof(f761,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ13_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f757,f746,f220,f432,f332,f234]) ).
fof(f762,definition,
( sQ40_spl
<=> select(a_39,i6) = e_50 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ40_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f758,f439,f762,f432,f332,f234]) ).
fof(f768,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| a_29 = store(a1,i6,e_34) ),
inference(backward_demodulation,[status(thm)],[f747,f135]) ).
fof(f769,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| a_31 = store(a2,i6,e_32) ),
inference(backward_demodulation,[status(thm)],[f747,f131]) ).
fof(f770,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| a_55 = store(a_49,i6,e_52) ),
inference(backward_demodulation,[status(thm)],[f747,f119]) ).
fof(f771,plain,
( ~ sQ38_spl
| a_35 = store(a_31,i6,e_34) ),
inference(backward_demodulation,[status(thm)],[f747,f39]) ).
fof(f772,plain,
( ~ sQ38_spl
| a_33 = store(a_29,i6,e_32) ),
inference(backward_demodulation,[status(thm)],[f747,f38]) ).
fof(f773,plain,
( ~ sQ10_spl
| ~ sQ38_spl
| select(a_37,i6) = e_32 ),
inference(backward_demodulation,[status(thm)],[f747,f204]) ).
fof(f774,plain,
( ~ sQ13_spl
| ~ sQ38_spl
| select(a_39,i6) = e_34 ),
inference(backward_demodulation,[status(thm)],[f747,f221]) ).
fof(f775,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| e_34 = select(a2,i6) ),
inference(backward_demodulation,[status(thm)],[f747,f134]) ).
fof(f776,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| select(a_55,i6) = e_52 ),
inference(backward_demodulation,[status(thm)],[f747,f118]) ).
fof(f777,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| e_32 = select(a1,i6) ),
inference(backward_demodulation,[status(thm)],[f747,f128]) ).
fof(f778,plain,
( ~ sQ38_spl
| select(a_35,i6) = e_34 ),
inference(backward_demodulation,[status(thm)],[f747,f75]) ).
fof(f779,plain,
( ~ sQ38_spl
| select(a_33,i6) = e_32 ),
inference(backward_demodulation,[status(thm)],[f747,f73]) ).
fof(f780,plain,
( ~ sQ38_spl
| e_34 = select(a_29,i6) ),
inference(backward_demodulation,[status(thm)],[f747,f53]) ).
fof(f781,plain,
( ~ sQ38_spl
| e_32 = select(a_31,i6) ),
inference(backward_demodulation,[status(thm)],[f747,f52]) ).
fof(f782,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| i1 = i6 ),
inference(backward_demodulation,[status(thm)],[f747,f109]) ).
fof(f783,plain,
( ~ sQ10_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = e_32 ),
inference(forward_demodulation,[status(thm)],[f495,f773]) ).
fof(f784,plain,
( ~ sQ13_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = e_34 ),
inference(forward_demodulation,[status(thm)],[f494,f774]) ).
fof(f785,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = e_34 ),
inference(forward_demodulation,[status(thm)],[f510,f778]) ).
fof(f786,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = e_32 ),
inference(forward_demodulation,[status(thm)],[f509,f779]) ).
fof(f787,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = e_30 ),
inference(backward_demodulation,[status(thm)],[f783,f126]) ).
fof(f788,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ38_spl
| select(a_29,X0) = select(a1,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f768,f35]) ).
fof(f789,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| select(a_29,i6) = e_34 ),
inference(paramodulation,[status(thm)],[f768,f33]) ).
fof(f790,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_29 = store(a1,i6,e_48) ),
inference(backward_demodulation,[status(thm)],[f784,f768]) ).
fof(f791,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_48 = e_28 ),
inference(backward_demodulation,[status(thm)],[f784,f127]) ).
fof(f792,plain,
( ~ sQ13_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| e_48 = e_50 ),
inference(backward_demodulation,[status(thm)],[f785,f784]) ).
fof(f793,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| a_49 = store(a_45,i6,e_50) ),
inference(backward_demodulation,[status(thm)],[f805,f46]) ).
fof(f794,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| a_41 = store(a_37,i6,e_50) ),
inference(backward_demodulation,[status(thm)],[f805,f497]) ).
fof(f795,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| e_50 = select(a_47,i6) ),
inference(backward_demodulation,[status(thm)],[f805,f60]) ).
fof(f796,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| select(a_49,i6) = e_50 ),
inference(backward_demodulation,[status(thm)],[f805,f89]) ).
fof(f797,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| e_50 = select(a_39,i6) ),
inference(backward_demodulation,[status(thm)],[f805,f494]) ).
fof(f798,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| a_47 = store(a_43,i6,e_50) ),
inference(backward_demodulation,[status(thm)],[f805,f526]) ).
fof(f799,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| e_50 = select(a_33,i6) ),
inference(backward_demodulation,[status(thm)],[f805,f509]) ).
fof(f800,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| e_50 = select(a_41,i6) ),
inference(backward_demodulation,[status(thm)],[f805,f514]) ).
fof(f801,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| e_50 = e_46 ),
inference(backward_demodulation,[status(thm)],[f805,f478]) ).
fof(f802,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| a_39 = store(a_35,i6,e_50) ),
inference(backward_demodulation,[status(thm)],[f805,f484]) ).
fof(f803,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| e_50 = e_38 ),
inference(backward_demodulation,[status(thm)],[f805,f485]) ).
fof(f804,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| e_50 = e_40 ),
inference(backward_demodulation,[status(thm)],[f805,f488]) ).
fof(f805,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| e_48 = e_50 ),
inference(forward_demodulation,[status(thm)],[f783,f786]) ).
fof(f806,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ10_spl
| e_50 = e_28 ),
inference(forward_demodulation,[status(thm)],[f805,f791]) ).
fof(f807,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_31 = store(a2,i6,e_50) ),
inference(forward_demodulation,[status(thm)],[f783,f769]) ).
fof(f808,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_31,X0) = select(a2,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f807,f35]) ).
fof(f809,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_31,i6) = e_50 ),
inference(paramodulation,[status(thm)],[f807,f33]) ).
fof(f810,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ38_spl
| select(a_55,X0) = select(a_49,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f770,f35]) ).
fof(f811,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| select(a_55,i6) = e_52 ),
inference(paramodulation,[status(thm)],[f770,f33]) ).
fof(f812,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_50 = select(a2,i6) ),
inference(forward_demodulation,[status(thm)],[f785,f775]) ).
fof(f813,plain,
( ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_52 = e_50 ),
inference(backward_demodulation,[status(thm)],[f776,f576]) ).
fof(f814,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| e_52 = select(a2,i6) ),
inference(backward_demodulation,[status(thm)],[f813,f812]) ).
fof(f815,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| a_31 = store(a2,i6,e_52) ),
inference(backward_demodulation,[status(thm)],[f813,f807]) ).
fof(f816,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = e_40 ),
inference(backward_demodulation,[status(thm)],[f813,f804]) ).
fof(f817,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = e_38 ),
inference(backward_demodulation,[status(thm)],[f813,f803]) ).
fof(f818,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = e_46 ),
inference(backward_demodulation,[status(thm)],[f813,f801]) ).
fof(f819,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ33_spl
| e_52 = e_28 ),
inference(backward_demodulation,[status(thm)],[f813,f806]) ).
fof(f820,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| e_52 = e_30 ),
inference(backward_demodulation,[status(thm)],[f813,f787]) ).
fof(f821,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_48 = e_52 ),
inference(backward_demodulation,[status(thm)],[f813,f805]) ).
fof(f822,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = e_34 ),
inference(backward_demodulation,[status(thm)],[f813,f785]) ).
fof(f823,plain,
( ~ sQ10_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = e_32 ),
inference(backward_demodulation,[status(thm)],[f813,f783]) ).
fof(f824,plain,
( ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| a_51 = store(a_47,i6,e_52) ),
inference(backward_demodulation,[status(thm)],[f813,f47]) ).
fof(f825,plain,
( ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_52 = select(a_45,i6) ),
inference(backward_demodulation,[status(thm)],[f813,f61]) ).
fof(f826,plain,
( ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| select(a_51,i6) = e_52 ),
inference(backward_demodulation,[status(thm)],[f813,f91]) ).
fof(f827,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| a_43 = store(a_39,i6,e_52) ),
inference(backward_demodulation,[status(thm)],[f813,f500]) ).
fof(f828,plain,
( ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| a_45 = store(a_41,i6,e_52) ),
inference(backward_demodulation,[status(thm)],[f813,f529]) ).
fof(f829,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_52 = select(a_37,i6) ),
inference(backward_demodulation,[status(thm)],[f813,f495]) ).
fof(f830,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_52 = select(a_35,i6) ),
inference(backward_demodulation,[status(thm)],[f813,f510]) ).
fof(f831,plain,
( ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_52 = select(a_43,i6) ),
inference(backward_demodulation,[status(thm)],[f813,f515]) ).
fof(f832,plain,
( ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_52 = e_44 ),
inference(backward_demodulation,[status(thm)],[f813,f479]) ).
fof(f833,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_52 = e_36 ),
inference(backward_demodulation,[status(thm)],[f813,f490]) ).
fof(f834,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_52 = e_42 ),
inference(backward_demodulation,[status(thm)],[f813,f493]) ).
fof(f835,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ38_spl
| a_37 = store(a_33,i6,e_52) ),
inference(backward_demodulation,[status(thm)],[f813,f489]) ).
fof(f836,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| e_52 = select(a1,i6) ),
inference(forward_demodulation,[status(thm)],[f823,f777]) ).
fof(f837,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| a_35 = store(a_31,i6,e_52) ),
inference(forward_demodulation,[status(thm)],[f822,f771]) ).
fof(f838,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| select(a_35,X0) = select(a_31,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f837,f35]) ).
fof(f839,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| select(a_35,i6) = e_52 ),
inference(paramodulation,[status(thm)],[f837,f33]) ).
fof(f840,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| a_33 = store(a_29,i6,e_52) ),
inference(forward_demodulation,[status(thm)],[f823,f772]) ).
fof(f841,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| select(a_33,X0) = select(a_29,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f840,f35]) ).
fof(f842,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| select(a_33,i6) = e_52 ),
inference(paramodulation,[status(thm)],[f840,f33]) ).
fof(f843,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = select(a_29,i6) ),
inference(forward_demodulation,[status(thm)],[f822,f780]) ).
fof(f844,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = select(a_31,i6) ),
inference(forward_demodulation,[status(thm)],[f823,f781]) ).
fof(f846,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = select(a_47,i6) ),
inference(forward_demodulation,[status(thm)],[f813,f795]) ).
fof(f847,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| select(a_49,i6) = e_52 ),
inference(forward_demodulation,[status(thm)],[f813,f796]) ).
fof(f848,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = select(a_39,i6) ),
inference(forward_demodulation,[status(thm)],[f813,f797]) ).
fof(f849,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ33_spl
| a_29 = store(a1,i6,e_52) ),
inference(forward_demodulation,[status(thm)],[f821,f790]) ).
fof(f850,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ33_spl
| select(a_29,X0) = select(a1,X0)
| i6 = X0 ),
inference(paramodulation,[status(thm)],[f849,f35]) ).
fof(f852,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| e_52 = select(a_33,i6) ),
inference(forward_demodulation,[status(thm)],[f813,f799]) ).
fof(f853,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| i6 = i6
| e_52 = select(a_37,i6) ),
inference(paramodulation,[status(thm)],[f741,f852]) ).
fof(f855,definition,
( sQ41_spl
<=> e_52 = select(a_37,i6) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ33_spl
| ~ sQ2_spl
| sQ27_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f853,f855,f439,f108,f575,f203,f746,f432,f332,f234]) ).
fof(f860,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| select(a_55,i7) = e_52 ),
inference(backward_demodulation,[status(thm)],[f553,f776]) ).
fof(f861,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| a_55 = store(a_49,i7,e_52) ),
inference(backward_demodulation,[status(thm)],[f553,f770]) ).
fof(f862,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| i1 = i7 ),
inference(backward_demodulation,[status(thm)],[f553,f782]) ).
fof(f863,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| i7 = i2 ),
inference(backward_demodulation,[status(thm)],[f553,f747]) ).
fof(f869,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| e_54 = e_52 ),
inference(forward_demodulation,[status(thm)],[f96,f860]) ).
fof(f870,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_49 = store(a_45,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f793]) ).
fof(f871,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_49 = store(a_45,i7,e_52) ),
inference(forward_demodulation,[status(thm)],[f616,f870]) ).
fof(f872,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| select(a_49,X0) = select(a_45,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f871,f35]) ).
fof(f875,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_41 = store(a_37,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f794]) ).
fof(f876,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_41 = store(a_37,i7,e_52) ),
inference(forward_demodulation,[status(thm)],[f616,f875]) ).
fof(f877,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| select(a_41,X0) = select(a_37,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f876,f35]) ).
fof(f878,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| select(a_41,i7) = e_52 ),
inference(paramodulation,[status(thm)],[f876,f33]) ).
fof(f879,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_52 = e_40 ),
inference(forward_demodulation,[status(thm)],[f616,f804]) ).
fof(f880,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_41 = store(a_37,i7,e_54) ),
inference(backward_demodulation,[status(thm)],[f887,f876]) ).
fof(f881,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_49 = store(a_45,i7,e_54) ),
inference(backward_demodulation,[status(thm)],[f887,f871]) ).
fof(f886,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = select(a_51,i7) ),
inference(backward_demodulation,[status(thm)],[f887,f62]) ).
fof(f887,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_52 = e_54 ),
inference(forward_demodulation,[status(thm)],[f621,f879]) ).
fof(f888,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_50 = e_54 ),
inference(forward_demodulation,[status(thm)],[f622,f803]) ).
fof(f890,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = e_28 ),
inference(forward_demodulation,[status(thm)],[f888,f806]) ).
fof(f891,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ31_spl
| e_54 = e_30 ),
inference(forward_demodulation,[status(thm)],[f888,f787]) ).
fof(f893,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = e_34 ),
inference(forward_demodulation,[status(thm)],[f888,f785]) ).
fof(f894,plain,
( ~ sQ10_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ31_spl
| e_54 = e_32 ),
inference(forward_demodulation,[status(thm)],[f888,f783]) ).
fof(f895,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = e_44 ),
inference(forward_demodulation,[status(thm)],[f888,f479]) ).
fof(f896,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = e_36 ),
inference(forward_demodulation,[status(thm)],[f888,f490]) ).
fof(f897,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = e_42 ),
inference(forward_demodulation,[status(thm)],[f888,f493]) ).
fof(f898,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_47 = store(a_43,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f798]) ).
fof(f899,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_47 = store(a_43,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f888,f898]) ).
fof(f900,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ31_spl
| select(a_47,X0) = select(a_43,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f899,f35]) ).
fof(f901,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ31_spl
| select(a_47,i7) = e_54 ),
inference(paramodulation,[status(thm)],[f899,f33]) ).
fof(f902,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = select(a_41,i6) ),
inference(forward_demodulation,[status(thm)],[f888,f800]) ).
fof(f903,plain,
( ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = select(a_41,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f902]) ).
fof(f904,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_39 = store(a_35,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f802]) ).
fof(f905,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ31_spl
| a_39 = store(a_35,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f888,f904]) ).
fof(f906,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ31_spl
| select(a_39,X0) = select(a_35,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f905,f35]) ).
fof(f907,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ31_spl
| select(a_39,i7) = e_54 ),
inference(paramodulation,[status(thm)],[f905,f33]) ).
fof(f908,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ38_spl
| ~ sQ10_spl
| a_37 = store(a_33,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f887,f624]) ).
fof(f909,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ38_spl
| ~ sQ10_spl
| select(a_37,X0) = select(a_33,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f908,f35]) ).
fof(f910,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ38_spl
| ~ sQ10_spl
| select(a_37,i7) = e_54 ),
inference(paramodulation,[status(thm)],[f908,f33]) ).
fof(f911,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_31,i7) = e_50 ),
inference(forward_demodulation,[status(thm)],[f553,f809]) ).
fof(f912,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ15_spl
| select(a_31,i7) = e_54 ),
inference(forward_demodulation,[status(thm)],[f888,f911]) ).
fof(f913,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| select(a_55,i7) = e_52 ),
inference(forward_demodulation,[status(thm)],[f553,f811]) ).
fof(f914,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| e_54 = e_52 ),
inference(forward_demodulation,[status(thm)],[f96,f913]) ).
fof(f915,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| e_54 = select(a_43,i7) ),
inference(forward_demodulation,[status(thm)],[f887,f630]) ).
fof(f916,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ38_spl
| ~ sQ10_spl
| e_54 = select(a_35,i7) ),
inference(forward_demodulation,[status(thm)],[f887,f632]) ).
fof(f917,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| e_54 = select(a_37,i7) ),
inference(forward_demodulation,[status(thm)],[f887,f634]) ).
fof(f918,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ10_spl
| e_54 = select(a_45,i7) ),
inference(forward_demodulation,[status(thm)],[f887,f636]) ).
fof(f927,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| select(a_29,i7) = e_34 ),
inference(forward_demodulation,[status(thm)],[f553,f789]) ).
fof(f928,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| select(a_29,i7) = e_54 ),
inference(forward_demodulation,[status(thm)],[f893,f927]) ).
fof(f929,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ31_spl
| e_54 = select(a_31,i6) ),
inference(forward_demodulation,[status(thm)],[f894,f781]) ).
fof(f930,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ31_spl
| e_54 = select(a_31,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f929]) ).
fof(f931,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = select(a_29,i6) ),
inference(forward_demodulation,[status(thm)],[f893,f780]) ).
fof(f932,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = select(a_29,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f931]) ).
fof(f933,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ31_spl
| e_54 = select(a1,i6) ),
inference(forward_demodulation,[status(thm)],[f894,f777]) ).
fof(f934,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ31_spl
| e_54 = select(a1,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f933]) ).
fof(f935,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = select(a2,i6) ),
inference(forward_demodulation,[status(thm)],[f888,f812]) ).
fof(f936,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl
| e_54 = select(a2,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f935]) ).
fof(f939,plain,
( ~ sQ31_spl
| select(a_51,i7) = e_50 ),
inference(forward_demodulation,[status(thm)],[f553,f91]) ).
fof(f940,plain,
( ~ sQ31_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| select(a_51,i7) = e_54 ),
inference(forward_demodulation,[status(thm)],[f888,f939]) ).
fof(f941,plain,
( ~ sQ31_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| i7 = i7
| select(a_55,i7) = e_54 ),
inference(paramodulation,[status(thm)],[f95,f940]) ).
fof(f943,plain,
( ~ sQ31_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ10_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f941,f555,f579,f203,f746,f432,f332,f234,f552]) ).
fof(f945,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_35,X0) = select(a_31,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f607,f250]) ).
fof(f946,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_33,X0) = select(a_29,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f607,f258]) ).
fof(f947,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_29,X0) = select(a1,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f606,f292]) ).
fof(f948,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_31,X0) = select(a2,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f606,f296]) ).
fof(f949,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_55,X0) = select(a_49,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f606,f299]) ).
fof(f950,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_35,X0) = select(a_31,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f606,f309]) ).
fof(f951,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_33,X0) = select(a_29,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f606,f313]) ).
fof(f952,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_33,X0) = select(a_29,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f608,f394]) ).
fof(f953,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_35,X0) = select(a_31,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f608,f397]) ).
fof(f954,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_55,X0) = select(a_49,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f608,f399]) ).
fof(f955,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_31,X0) = select(a2,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f608,f406]) ).
fof(f956,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_29,X0) = select(a1,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f608,f409]) ).
fof(f958,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| i7 = i2 ),
inference(forward_demodulation,[status(thm)],[f553,f469]) ).
fof(f959,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_30 ),
inference(forward_demodulation,[status(thm)],[f617,f486]) ).
fof(f960,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_32 ),
inference(forward_demodulation,[status(thm)],[f617,f487]) ).
fof(f961,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_50 = select(a2,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f496]) ).
fof(f962,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_55,i7) = e_52 ),
inference(forward_demodulation,[status(thm)],[f553,f461]) ).
fof(f963,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_52 ),
inference(forward_demodulation,[status(thm)],[f96,f962]) ).
fof(f964,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_29 = store(a1,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f503]) ).
fof(f965,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_29,X0) = select(a1,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f504]) ).
fof(f966,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = select(a1,i6) ),
inference(forward_demodulation,[status(thm)],[f617,f506]) ).
fof(f967,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = select(a1,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f966]) ).
fof(f968,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_50 = select(a_29,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f507]) ).
fof(f969,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = select(a_31,i6) ),
inference(forward_demodulation,[status(thm)],[f617,f508]) ).
fof(f970,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = select(a_31,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f969]) ).
fof(f971,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_31 = store(a2,i7,e_48) ),
inference(forward_demodulation,[status(thm)],[f553,f511]) ).
fof(f972,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_31 = store(a2,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f617,f971]) ).
fof(f973,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_31,X0) = select(a2,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f512]) ).
fof(f974,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_55 = store(a_49,i7,e_52) ),
inference(forward_demodulation,[status(thm)],[f553,f457]) ).
fof(f975,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_55,X0) = select(a_49,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f518]) ).
fof(f976,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_35 = store(a_31,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f520]) ).
fof(f977,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_35,X0) = select(a_31,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f521]) ).
fof(f978,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_33 = store(a_29,i7,e_48) ),
inference(forward_demodulation,[status(thm)],[f553,f523]) ).
fof(f979,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_33 = store(a_29,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f617,f978]) ).
fof(f980,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_33,X0) = select(a_29,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f524]) ).
fof(f981,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_55,X0) = select(a_49,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f543]) ).
fof(f982,plain,
( ~ sQ31_spl
| e_50 = select(a_45,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f61]) ).
fof(f983,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_50 = select(a2,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f812]) ).
fof(f984,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| e_32 = select(a1,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f777]) ).
fof(f985,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| e_34 = select(a_29,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f780]) ).
fof(f986,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| e_32 = select(a_31,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f781]) ).
fof(f987,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| a_31 = store(a2,i7,e_32) ),
inference(forward_demodulation,[status(thm)],[f553,f769]) ).
fof(f988,plain,
( ~ sQ13_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ31_spl
| e_54 = e_50 ),
inference(forward_demodulation,[status(thm)],[f617,f792]) ).
fof(f989,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ38_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_28 ),
inference(forward_demodulation,[status(thm)],[f617,f791]) ).
fof(f1011,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_32 ),
inference(forward_demodulation,[status(thm)],[f617,f786]) ).
fof(f1013,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| select(a_45,i7) = e_52 ),
inference(paramodulation,[status(thm)],[f638,f33]) ).
fof(f1017,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_43,i7) = e_52 ),
inference(paramodulation,[status(thm)],[f644,f33]) ).
fof(f1023,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_54 = e_44 ),
inference(forward_demodulation,[status(thm)],[f963,f620]) ).
fof(f1025,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e_54 = e_36 ),
inference(forward_demodulation,[status(thm)],[f963,f619]) ).
fof(f1027,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_54 = e_42 ),
inference(forward_demodulation,[status(thm)],[f963,f618]) ).
fof(f1028,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| e_54 = e_34 ),
inference(backward_demodulation,[status(thm)],[f1030,f492]) ).
fof(f1029,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = e_28 ),
inference(backward_demodulation,[status(thm)],[f1030,f491]) ).
fof(f1030,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_54 = e_50 ),
inference(forward_demodulation,[status(thm)],[f963,f616]) ).
fof(f1031,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_51 = store(a_47,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f963,f650]) ).
fof(f1037,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_54 = select(a_37,i6) ),
inference(forward_demodulation,[status(thm)],[f1030,f495]) ).
fof(f1038,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| e_54 = select(a_37,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f1037]) ).
fof(f1039,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e_54 = select(a_35,i6) ),
inference(forward_demodulation,[status(thm)],[f1030,f510]) ).
fof(f1040,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e_54 = select(a_35,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f1039]) ).
fof(f1041,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_54 = select(a_43,i6) ),
inference(forward_demodulation,[status(thm)],[f1030,f515]) ).
fof(f1042,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_54 = select(a_43,i7) ),
inference(forward_demodulation,[status(thm)],[f553,f1041]) ).
fof(f1043,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| e_54 = select(a2,i7) ),
inference(forward_demodulation,[status(thm)],[f1030,f961]) ).
fof(f1044,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| e_54 = select(a_29,i7) ),
inference(forward_demodulation,[status(thm)],[f1030,f968]) ).
fof(f1045,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_29 = store(a1,i7,e_48) ),
inference(forward_demodulation,[status(thm)],[f553,f790]) ).
fof(f1046,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_29 = store(a1,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f617,f1045]) ).
fof(f1048,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_29,i7) = e_54 ),
inference(paramodulation,[status(thm)],[f1046,f33]) ).
fof(f1049,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| a_33 = store(a_29,i7,e_32) ),
inference(forward_demodulation,[status(thm)],[f553,f772]) ).
fof(f1050,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_33 = store(a_29,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f960,f1049]) ).
fof(f1053,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| a_35 = store(a_31,i7,e_34) ),
inference(forward_demodulation,[status(thm)],[f553,f771]) ).
fof(f1054,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ2_spl
| a_35 = store(a_31,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f1028,f1053]) ).
fof(f1057,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_51,i7) = e_54 ),
inference(forward_demodulation,[status(thm)],[f1030,f939]) ).
fof(f1058,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| i7 = i7
| select(a_55,i7) = e_54 ),
inference(paramodulation,[status(thm)],[f95,f1057]) ).
fof(f1060,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1058,f555,f579,f432,f332,f234,f200,f108,f552]) ).
fof(f1062,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| e_54 = select(a_45,i7) ),
inference(forward_demodulation,[status(thm)],[f1030,f982]) ).
fof(f1065,plain,
( ~ sQ31_spl
| a_51 = store(a_47,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f47]) ).
fof(f1075,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_43 = store(a_39,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f500]) ).
fof(f1076,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| a_43 = store(a_39,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f1030,f1075]) ).
fof(f1079,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| a_45 = store(a_41,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f529]) ).
fof(f1080,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_45 = store(a_41,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f1030,f1079]) ).
fof(f1085,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_37 = store(a_33,i7,e_50) ),
inference(forward_demodulation,[status(thm)],[f553,f489]) ).
fof(f1086,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| a_37 = store(a_33,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f1030,f1085]) ).
fof(f1089,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| a_55 = store(a_49,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f963,f861]) ).
fof(f1092,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_29 = store(a1,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f1030,f964]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_31,X0) = select(a2,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f972,f35]) ).
fof(f1095,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| a_55 = store(a_49,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f963,f974]) ).
fof(f1096,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| a_35 = store(a_31,i7,e_54) ),
inference(forward_demodulation,[status(thm)],[f1030,f976]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_37,X0) = select(a_33,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f606,f319]) ).
fof(f1102,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_37,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f633,f1101]) ).
fof(f1104,definition,
( sQ42_spl
<=> select(a_37,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| sQ42_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1102,f579,f1104,f552,f432,f332,f234]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_43,X0) = select(a_39,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f608,f348]) ).
fof(f1110,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_43,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f635,f1109]) ).
fof(f1112,definition,
( sQ43_spl
<=> select(a_43,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| sQ43_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1110,f579,f1112,f552,f432,f332]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_41,X0) = select(a_37,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f608,f366]) ).
fof(f1118,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| select(a_41,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f1038,f1117]) ).
fof(f1120,definition,
( sQ44_spl
<=> select(a_41,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| sQ44_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1118,f579,f1120,f234,f200,f108,f552,f432,f332]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| select(a_39,X0) = select(a_35,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f608,f377]) ).
fof(f1127,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| select(a_39,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f1040,f1126]) ).
fof(f1129,definition,
( sQ45_spl
<=> select(a_39,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| sQ45_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1127,f579,f1129,f200,f108,f552,f432,f332,f234]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ31_spl
| select(a_47,X0) = select(a_43,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f448]) ).
fof(f1139,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| select(a_47,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f1042,f1138]) ).
fof(f1141,definition,
( sQ46_spl
<=> select(a_47,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| sQ46_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1139,f579,f1141,f332,f234,f200,f108,f552,f432]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ31_spl
| select(a_45,X0) = select(a_41,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f471]) ).
fof(f1147,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| select(a_45,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f631,f1146]) ).
fof(f1149,definition,
( sQ47_spl
<=> select(a_45,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| sQ47_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1147,f579,f1149,f552,f432]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| select(a_55,X0) = select(a_49,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f862,f93]) ).
fof(f1163,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| select(a_55,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f63,f1162]) ).
fof(f1165,plain,
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| sQ32_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1163,f579,f555,f552,f746,f108]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ31_spl
| select(a_35,X0) = select(a_31,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f863,f74]) ).
fof(f1168,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ38_spl
| select(a_35,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f970,f1167]) ).
fof(f1170,definition,
( sQ48_spl
<=> select(a_35,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ38_spl
| sQ48_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1168,f579,f1170,f746,f552,f432,f332,f234,f200]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ31_spl
| select(a_33,X0) = select(a_29,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f863,f72]) ).
fof(f1176,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ38_spl
| select(a_33,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f1044,f1175]) ).
fof(f1178,definition,
( sQ49_spl
<=> select(a_33,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ38_spl
| sQ49_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1176,f579,f1178,f746,f108,f552,f432,f332,f234,f200]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| select(a_29,X0) = select(a1,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f863,f561]) ).
fof(f1184,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_54 = select(a1,i7)
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f1044,f1183]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ2_spl
| i7 = X0
| select(a_33,X0) = select(a1,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f1175,f1183]) ).
fof(f1188,definition,
( sQ50_spl
<=> e_54 = select(a1,i7) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ38_spl
| sQ50_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1184,f579,f1188,f746,f108,f552,f432,f332,f234,f200]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ2_spl
| select(a_33,X0) = select(a1,X0)
| i7 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f1185]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ38_spl
| ~ sQ31_spl
| select(a_31,X0) = select(a2,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f863,f563]) ).
fof(f1196,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ38_spl
| e_54 = select(a2,i7)
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f970,f1195]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ2_spl
| i7 = X0
| select(a_35,X0) = select(a2,X0)
| i7 = X0 ),
inference(paramodulation,[status(thm)],[f1167,f1195]) ).
fof(f1200,definition,
( sQ51_spl
<=> e_54 = select(a2,i7) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ38_spl
| sQ51_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1196,f579,f1200,f746,f108,f552,f432,f332,f234,f200]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ2_spl
| select(a_35,X0) = select(a2,X0)
| i7 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f1197]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ31_spl
| select(a_51,X0) = select(a_47,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f90]) ).
fof(f1212,plain,
( ~ sQ31_spl
| select(a_51,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f637,f1211]) ).
fof(f1214,definition,
( sQ52_spl
<=> select(a_51,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
( ~ sQ31_spl
| sQ52_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1212,f579,f1214,f552]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ31_spl
| select(a_49,X0) = select(a_45,X0)
| i7 = X0 ),
inference(forward_demodulation,[status(thm)],[f553,f88]) ).
fof(f1220,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| select(a_49,i7) = e_54
| i7 = i7 ),
inference(paramodulation,[status(thm)],[f1062,f1219]) ).
fof(f1222,definition,
( sQ53_spl
<=> select(a_49,i7) = e_54 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ53_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1220,f579,f1222,f432,f332,f234,f200,f108,f552]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl
| sQ4_spl
| sQ9_spl
| sQ11_spl
| sQ13_spl
| sQ15_spl
| sQ17_spl
| sQ20_spl
| sQ22_spl
| sQ25_spl
| sQ27_spl
| sQ31_spl
| sQ32_spl
| sQ34_spl
| sQ38_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV552-1.007 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 09:07:06 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.08/0.33 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.08/0.33 % SZS output start Saturation for theBenchmark
% See solution above
% 0.08/0.34 % Elapsed time: 0.044286 seconds
% 0.08/0.34 % CPU time: 0.162201 seconds
% 0.08/0.34 % Total memory used: 105.465 MB
% 0.08/0.34 % Net memory used: 105.106 MB
%------------------------------------------------------------------------------