%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV556-1.004 : 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 : n003.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 02:52:46 PM UTC 2026
% Result : Satisfiable 0.12s 0.42s
% Output : Saturation 0.12s
% 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_20 = store(a1,i1,e_19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
a_22 = store(a2,i1,e_21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
a_24 = store(a_20,i2,e_23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
a_26 = store(a_22,i2,e_25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
a_28 = store(a_24,i3,e_27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
a_30 = store(a_26,i3,e_29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
a_32 = store(a_28,i1,e_31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
a_34 = store(a_30,i4,e_33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
e_19 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
e_21 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
e_23 = select(a_22,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
e_25 = select(a_20,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
e_27 = select(a_26,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
e_29 = select(a_24,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
e_31 = select(a_30,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
e_33 = select(a_28,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
e_36 = select(a1,i_35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
e_37 = select(a2,i_35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
i_35 = sk(a1,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
a_32 = a_34,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
e_36 != e_37,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0,X1,X2] : select(store(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
! [I,J] :
( ! [A,E] : select(store(A,I,E),J) = select(A,J)
| I = J ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( select(store(X2,X0,X3),X1) = select(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
a_20 = store(a1,i1,e_19),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f28,plain,
a_22 = store(a2,i1,e_21),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
a_24 = store(a_20,i2,e_23),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f30,plain,
a_26 = store(a_22,i2,e_25),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f31,plain,
a_28 = store(a_24,i3,e_27),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
a_30 = store(a_26,i3,e_29),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f33,plain,
a_32 = store(a_28,i1,e_31),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
a_34 = store(a_30,i4,e_33),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f35,plain,
e_19 = select(a2,i1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f36,plain,
e_21 = select(a1,i1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f37,plain,
e_23 = select(a_22,i2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f38,plain,
e_25 = select(a_20,i2),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f39,plain,
e_27 = select(a_26,i3),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f40,plain,
e_29 = select(a_24,i3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f41,plain,
e_31 = select(a_30,i4),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f42,plain,
e_33 = select(a_28,i4),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f43,plain,
e_36 = select(a1,i_35),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f44,plain,
e_37 = select(a2,i_35),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f45,plain,
i_35 = sk(a1,a2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f46,plain,
a_32 = a_34,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f47,plain,
e_36 != e_37,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f50,plain,
! [X0] :
( select(a_20,X0) = select(a1,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f27,f26]) ).
fof(f51,plain,
select(a_20,i1) = e_19,
inference(paramodulation,[status(thm)],[f27,f24]) ).
fof(f52,plain,
! [X0] :
( select(a_22,X0) = select(a2,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f28,f26]) ).
fof(f53,plain,
select(a_22,i1) = e_21,
inference(paramodulation,[status(thm)],[f28,f24]) ).
fof(f54,plain,
! [X0] :
( select(a_24,X0) = select(a_20,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f29,f26]) ).
fof(f55,plain,
select(a_24,i2) = e_23,
inference(paramodulation,[status(thm)],[f29,f24]) ).
fof(f56,plain,
! [X0] :
( select(a_26,X0) = select(a_22,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f30,f26]) ).
fof(f57,plain,
select(a_26,i2) = e_25,
inference(paramodulation,[status(thm)],[f30,f24]) ).
fof(f58,plain,
! [X0] :
( select(a_28,X0) = select(a_24,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f31,f26]) ).
fof(f59,plain,
select(a_28,i3) = e_27,
inference(paramodulation,[status(thm)],[f31,f24]) ).
fof(f60,plain,
! [X0] :
( select(a_30,X0) = select(a_26,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f32,f26]) ).
fof(f61,plain,
select(a_30,i3) = e_29,
inference(paramodulation,[status(thm)],[f32,f24]) ).
fof(f62,plain,
! [X0] :
( select(a_32,X0) = select(a_28,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f33,f26]) ).
fof(f63,plain,
select(a_32,i1) = e_31,
inference(paramodulation,[status(thm)],[f33,f24]) ).
fof(f64,plain,
a_32 = store(a_30,i4,e_33),
inference(forward_demodulation,[status(thm)],[f46,f34]) ).
fof(f65,plain,
! [X0] :
( select(a_32,X0) = select(a_30,X0)
| i4 = X0 ),
inference(paramodulation,[status(thm)],[f64,f26]) ).
fof(f66,plain,
select(a_32,i4) = e_33,
inference(paramodulation,[status(thm)],[f64,f24]) ).
fof(f67,plain,
( select(a_20,i1) = e_21
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f36,f50]) ).
fof(f68,plain,
( select(a_20,i_35) = e_36
| i1 = i_35 ),
inference(paramodulation,[status(thm)],[f43,f50]) ).
fof(f71,definition,
( sQ0_spl
<=> i1 = i1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f74,definition,
( sQ1_spl
<=> select(a_20,i1) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f67,f71,f74]) ).
fof(f78,definition,
( sQ2_spl
<=> i1 = i_35 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ2_spl
| i1 = i_35 ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f80,plain,
( sQ2_spl
| i1 != i_35 ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,definition,
( sQ3_spl
<=> select(a_20,i_35) = e_36 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ3_spl
| select(a_20,i_35) = e_36 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f68,f78,f81]) ).
fof(f87,plain,
( ~ sQ2_spl
| i1 = sk(a1,a2) ),
inference(backward_demodulation,[status(thm)],[f79,f45]) ).
fof(f88,plain,
( ~ sQ2_spl
| e_37 = select(a2,i1) ),
inference(backward_demodulation,[status(thm)],[f79,f44]) ).
fof(f89,plain,
( ~ sQ2_spl
| e_36 = select(a1,i1) ),
inference(backward_demodulation,[status(thm)],[f79,f43]) ).
fof(f90,plain,
( ~ sQ2_spl
| e_37 = e_19 ),
inference(forward_demodulation,[status(thm)],[f35,f88]) ).
fof(f91,plain,
( ~ sQ2_spl
| e_36 = e_21 ),
inference(forward_demodulation,[status(thm)],[f36,f89]) ).
fof(f92,plain,
( ~ sQ2_spl
| e_36 != e_19 ),
inference(backward_demodulation,[status(thm)],[f90,f47]) ).
fof(f93,plain,
( ~ sQ2_spl
| e_21 != e_19 ),
inference(forward_demodulation,[status(thm)],[f91,f92]) ).
fof(f94,plain,
( select(a_22,i1) = e_19
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f35,f52]) ).
fof(f96,definition,
( sQ4_spl
<=> select(a_22,i1) = e_19 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f94,f71,f96]) ).
fof(f101,plain,
( e_23 = select(a_20,i2)
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f55,f54]) ).
fof(f102,plain,
( e_29 = select(a_20,i3)
| i2 = i3 ),
inference(paramodulation,[status(thm)],[f40,f54]) ).
fof(f105,definition,
( sQ5_spl
<=> i2 = i2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f108,definition,
( sQ6_spl
<=> e_23 = select(a_20,i2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f101,f105,f108]) ).
fof(f112,definition,
( sQ7_spl
<=> i2 = i3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ7_spl
| i2 = i3 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ8_spl
<=> e_29 = select(a_20,i3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ8_spl
| e_29 = select(a_20,i3) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f102,f112,f115]) ).
fof(f121,plain,
( e_25 = select(a_22,i2)
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f57,f56]) ).
fof(f122,plain,
( e_27 = select(a_22,i3)
| i2 = i3 ),
inference(paramodulation,[status(thm)],[f39,f56]) ).
fof(f125,definition,
( sQ9_spl
<=> e_25 = select(a_22,i2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ9_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f121,f105,f125]) ).
fof(f129,definition,
( sQ10_spl
<=> e_27 = select(a_22,i3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ10_spl
| e_27 = select(a_22,i3) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ10_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f122,f112,f129]) ).
fof(f135,plain,
( ~ sQ7_spl
| a_30 = store(a_26,i2,e_29) ),
inference(backward_demodulation,[status(thm)],[f113,f32]) ).
fof(f136,plain,
( ~ sQ7_spl
| a_28 = store(a_24,i2,e_27) ),
inference(backward_demodulation,[status(thm)],[f113,f31]) ).
fof(f137,plain,
( ~ sQ7_spl
| e_29 = select(a_24,i2) ),
inference(backward_demodulation,[status(thm)],[f113,f40]) ).
fof(f138,plain,
( ~ sQ7_spl
| e_27 = select(a_26,i2) ),
inference(backward_demodulation,[status(thm)],[f113,f39]) ).
fof(f139,plain,
( ~ sQ7_spl
| e_29 = e_23 ),
inference(forward_demodulation,[status(thm)],[f55,f137]) ).
fof(f140,plain,
( ~ sQ7_spl
| e_27 = e_25 ),
inference(forward_demodulation,[status(thm)],[f57,f138]) ).
fof(f143,plain,
( ~ sQ7_spl
| a_30 = store(a_26,i2,e_23) ),
inference(backward_demodulation,[status(thm)],[f139,f135]) ).
fof(f144,plain,
( ~ sQ7_spl
| a_28 = store(a_24,i2,e_25) ),
inference(forward_demodulation,[status(thm)],[f140,f136]) ).
fof(f146,plain,
( ~ sQ7_spl
| select(a_28,i2) = e_25 ),
inference(paramodulation,[status(thm)],[f144,f24]) ).
fof(f147,plain,
! [X0] :
( ~ sQ7_spl
| select(a_30,X0) = select(a_26,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f143,f26]) ).
fof(f149,plain,
( ~ sQ7_spl
| select(a_28,i2) = e_27 ),
inference(forward_demodulation,[status(thm)],[f113,f59]) ).
fof(f150,plain,
( ~ sQ7_spl
| select(a_28,i2) = e_25 ),
inference(forward_demodulation,[status(thm)],[f140,f149]) ).
fof(f153,plain,
! [X0] :
( ~ sQ7_spl
| select(a_28,X0) = select(a_24,X0)
| i2 = X0 ),
inference(forward_demodulation,[status(thm)],[f113,f58]) ).
fof(f154,plain,
( ~ sQ7_spl
| e_25 = select(a_24,i2)
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f150,f153]) ).
fof(f155,plain,
( ~ sQ7_spl
| e_33 = select(a_24,i4)
| i2 = i4 ),
inference(paramodulation,[status(thm)],[f42,f153]) ).
fof(f158,definition,
( sQ11_spl
<=> e_25 = select(a_24,i2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ7_spl
| sQ11_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f154,f105,f158,f112]) ).
fof(f162,definition,
( sQ12_spl
<=> i2 = i4 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ12_spl
| i2 = i4 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ13_spl
<=> e_33 = select(a_24,i4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ13_spl
| e_33 = select(a_24,i4) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( ~ sQ7_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f155,f162,f165,f112]) ).
fof(f171,plain,
! [X0] :
( select(a_30,X0) = select(a_26,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f32,f26]) ).
fof(f172,plain,
select(a_30,i3) = e_29,
inference(paramodulation,[status(thm)],[f32,f24]) ).
fof(f173,plain,
! [X0] :
( select(a_28,X0) = select(a_24,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f31,f26]) ).
fof(f174,plain,
select(a_28,i3) = e_27,
inference(paramodulation,[status(thm)],[f31,f24]) ).
fof(f183,plain,
( e_31 = select(a_26,i4)
| i3 = i4 ),
inference(paramodulation,[status(thm)],[f41,f60]) ).
fof(f185,definition,
( sQ14_spl
<=> i3 = i4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ14_spl
| i3 = i4 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ15_spl
<=> e_31 = select(a_26,i4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ15_spl
| e_31 = select(a_26,i4) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f183,f185,f188]) ).
fof(f193,plain,
( ~ sQ14_spl
| select(a_32,i3) = e_33 ),
inference(backward_demodulation,[status(thm)],[f186,f66]) ).
fof(f194,plain,
( ~ sQ14_spl
| a_32 = store(a_30,i3,e_33) ),
inference(backward_demodulation,[status(thm)],[f186,f64]) ).
fof(f195,plain,
( ~ sQ14_spl
| e_33 = select(a_28,i3) ),
inference(backward_demodulation,[status(thm)],[f186,f42]) ).
fof(f196,plain,
( ~ sQ14_spl
| e_31 = select(a_30,i3) ),
inference(backward_demodulation,[status(thm)],[f186,f41]) ).
fof(f197,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e_33 = select(a_24,i3) ),
inference(forward_demodulation,[status(thm)],[f186,f166]) ).
fof(f198,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e_33 = e_29 ),
inference(forward_demodulation,[status(thm)],[f40,f197]) ).
fof(f199,plain,
( i3 = i3
| select(a_26,i3) = e_29 ),
inference(paramodulation,[status(thm)],[f60,f61]) ).
fof(f201,definition,
( sQ16_spl
<=> select(a_26,i3) = e_29 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ16_spl
| select(a_26,i3) = e_29 ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ17_spl
<=> i3 = i3 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f199,f201,f204]) ).
fof(f209,plain,
( ~ sQ16_spl
| e_27 = e_29 ),
inference(forward_demodulation,[status(thm)],[f39,f202]) ).
fof(f210,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| a_32 = store(a_30,i3,e_29) ),
inference(forward_demodulation,[status(thm)],[f198,f194]) ).
fof(f211,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| select(a_32,X0) = select(a_30,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f210,f26]) ).
fof(f212,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| select(a_32,i3) = e_29 ),
inference(paramodulation,[status(thm)],[f210,f24]) ).
fof(f213,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e_29 = select(a_28,i3) ),
inference(forward_demodulation,[status(thm)],[f198,f195]) ).
fof(f214,plain,
( ~ sQ14_spl
| select(a_32,i1) = e_29 ),
inference(backward_demodulation,[status(thm)],[f216,f63]) ).
fof(f215,plain,
( ~ sQ14_spl
| a_32 = store(a_28,i1,e_29) ),
inference(backward_demodulation,[status(thm)],[f216,f33]) ).
fof(f216,plain,
( ~ sQ14_spl
| e_31 = e_29 ),
inference(forward_demodulation,[status(thm)],[f61,f196]) ).
fof(f217,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| e_31 = e_27 ),
inference(backward_demodulation,[status(thm)],[f209,f216]) ).
fof(f218,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ16_spl
| e_27 = select(a_28,i3) ),
inference(backward_demodulation,[status(thm)],[f209,f213]) ).
fof(f219,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ16_spl
| a_32 = store(a_30,i3,e_27) ),
inference(backward_demodulation,[status(thm)],[f209,f210]) ).
fof(f220,plain,
( ~ sQ16_spl
| select(a_30,i3) = e_27 ),
inference(backward_demodulation,[status(thm)],[f209,f61]) ).
fof(f221,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ16_spl
| e_33 = e_27 ),
inference(backward_demodulation,[status(thm)],[f209,f198]) ).
fof(f222,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| e_27 = select(a_20,i3) ),
inference(backward_demodulation,[status(thm)],[f209,f116]) ).
fof(f223,plain,
( ~ sQ16_spl
| e_27 = select(a_24,i3) ),
inference(backward_demodulation,[status(thm)],[f209,f40]) ).
fof(f224,plain,
( ~ sQ16_spl
| a_30 = store(a_26,i3,e_27) ),
inference(backward_demodulation,[status(thm)],[f209,f32]) ).
fof(f225,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| a_32 = store(a_28,i1,e_27) ),
inference(forward_demodulation,[status(thm)],[f209,f215]) ).
fof(f226,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ16_spl
| select(a_32,X0) = select(a_28,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f225,f26]) ).
fof(f227,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| select(a_32,i1) = e_27 ),
inference(paramodulation,[status(thm)],[f225,f24]) ).
fof(f228,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ16_spl
| select(a_32,X0) = select(a_30,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f219,f26]) ).
fof(f229,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ16_spl
| select(a_32,i3) = e_27 ),
inference(paramodulation,[status(thm)],[f219,f24]) ).
fof(f230,plain,
( ~ sQ16_spl
| select(a_30,i3) = e_27 ),
inference(forward_demodulation,[status(thm)],[f209,f172]) ).
fof(f231,plain,
( ~ sQ16_spl
| i3 = i3
| select(a_26,i3) = e_27 ),
inference(paramodulation,[status(thm)],[f60,f230]) ).
fof(f233,definition,
( sQ18_spl
<=> select(a_26,i3) = e_27 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ16_spl
| sQ17_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f231,f233,f204,f201]) ).
fof(f238,plain,
! [X0] :
( ~ sQ14_spl
| select(a_32,X0) = select(a_28,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f215,f26]) ).
fof(f239,plain,
( ~ sQ14_spl
| select(a_32,i1) = e_29 ),
inference(paramodulation,[status(thm)],[f215,f24]) ).
fof(f240,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| select(a_32,X0) = select(a_30,X0)
| i3 = X0 ),
inference(paramodulation,[status(thm)],[f210,f26]) ).
fof(f241,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| select(a_32,i3) = e_29 ),
inference(paramodulation,[status(thm)],[f210,f24]) ).
fof(f246,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e_29 = e_27 ),
inference(backward_demodulation,[status(thm)],[f174,f213]) ).
fof(f247,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e_27 = select(a_24,i3) ),
inference(backward_demodulation,[status(thm)],[f246,f40]) ).
fof(f248,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e_33 = e_27 ),
inference(backward_demodulation,[status(thm)],[f246,f198]) ).
fof(f249,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| a_32 = store(a_30,i3,e_27) ),
inference(backward_demodulation,[status(thm)],[f246,f210]) ).
fof(f250,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| a_32 = store(a_28,i1,e_27) ),
inference(backward_demodulation,[status(thm)],[f246,f215]) ).
fof(f251,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e_31 = e_27 ),
inference(backward_demodulation,[status(thm)],[f246,f216]) ).
fof(f252,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| a_30 = store(a_26,i3,e_27) ),
inference(forward_demodulation,[status(thm)],[f246,f32]) ).
fof(f254,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| select(a_30,i3) = e_27 ),
inference(paramodulation,[status(thm)],[f252,f24]) ).
fof(f255,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| i2 = i3
| e_27 = select(a_20,i3) ),
inference(paramodulation,[status(thm)],[f54,f247]) ).
fof(f257,definition,
( sQ19_spl
<=> e_27 = select(a_20,i3) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| sQ7_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f255,f257,f112,f165,f185]) ).
fof(f262,plain,
( ~ sQ7_spl
| select(a_28,i2) = e_27 ),
inference(backward_demodulation,[status(thm)],[f113,f174]) ).
fof(f265,plain,
( ~ sQ7_spl
| a_28 = store(a_24,i2,e_27) ),
inference(backward_demodulation,[status(thm)],[f113,f31]) ).
fof(f267,plain,
! [X0] :
( ~ sQ7_spl
| select(a_28,X0) = select(a_24,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f144,f26]) ).
fof(f268,plain,
( ~ sQ7_spl
| select(a_28,i2) = e_25 ),
inference(paramodulation,[status(thm)],[f144,f24]) ).
fof(f270,plain,
( ~ sQ7_spl
| select(a_30,i2) = e_23 ),
inference(paramodulation,[status(thm)],[f143,f24]) ).
fof(f273,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e_31 = select(a_26,i2) ),
inference(forward_demodulation,[status(thm)],[f163,f189]) ).
fof(f274,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e_31 = e_25 ),
inference(forward_demodulation,[status(thm)],[f57,f273]) ).
fof(f275,plain,
( ~ sQ7_spl
| select(a_30,i2) = e_29 ),
inference(forward_demodulation,[status(thm)],[f113,f172]) ).
fof(f276,plain,
( ~ sQ7_spl
| select(a_30,i2) = e_23 ),
inference(forward_demodulation,[status(thm)],[f139,f275]) ).
fof(f279,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| a_32 = store(a_28,i1,e_25) ),
inference(forward_demodulation,[status(thm)],[f274,f33]) ).
fof(f281,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| select(a_32,i1) = e_25 ),
inference(paramodulation,[status(thm)],[f279,f24]) ).
fof(f282,plain,
( ~ sQ7_spl
| select(a_28,i2) = e_27 ),
inference(forward_demodulation,[status(thm)],[f113,f59]) ).
fof(f283,plain,
( ~ sQ7_spl
| select(a_28,i2) = e_25 ),
inference(forward_demodulation,[status(thm)],[f140,f282]) ).
fof(f287,plain,
( ~ sQ12_spl
| a_32 = store(a_30,i2,e_33) ),
inference(forward_demodulation,[status(thm)],[f163,f64]) ).
fof(f288,plain,
! [X0] :
( ~ sQ12_spl
| select(a_32,X0) = select(a_30,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f287,f26]) ).
fof(f289,plain,
( ~ sQ12_spl
| select(a_32,i2) = e_33 ),
inference(paramodulation,[status(thm)],[f287,f24]) ).
fof(f290,plain,
( ~ sQ12_spl
| e_33 = select(a_28,i2) ),
inference(forward_demodulation,[status(thm)],[f163,f42]) ).
fof(f291,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| a_32 = store(a_30,i2,e_25) ),
inference(backward_demodulation,[status(thm)],[f292,f287]) ).
fof(f292,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| e_33 = e_25 ),
inference(forward_demodulation,[status(thm)],[f283,f290]) ).
fof(f293,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e_25 = select(a_30,i4) ),
inference(forward_demodulation,[status(thm)],[f274,f41]) ).
fof(f294,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e_25 = select(a_30,i2) ),
inference(forward_demodulation,[status(thm)],[f163,f293]) ).
fof(f295,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| e_33 = e_23 ),
inference(backward_demodulation,[status(thm)],[f304,f292]) ).
fof(f296,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| select(a_28,i2) = e_23 ),
inference(backward_demodulation,[status(thm)],[f304,f283]) ).
fof(f297,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| a_32 = store(a_28,i1,e_23) ),
inference(backward_demodulation,[status(thm)],[f304,f279]) ).
fof(f298,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_31 = e_23 ),
inference(backward_demodulation,[status(thm)],[f304,f274]) ).
fof(f299,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| a_28 = store(a_24,i2,e_23) ),
inference(backward_demodulation,[status(thm)],[f304,f144]) ).
fof(f300,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| e_27 = e_23 ),
inference(backward_demodulation,[status(thm)],[f304,f140]) ).
fof(f302,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| a_26 = store(a_22,i2,e_23) ),
inference(backward_demodulation,[status(thm)],[f304,f30]) ).
fof(f303,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_23 = select(a_20,i2) ),
inference(backward_demodulation,[status(thm)],[f304,f38]) ).
fof(f304,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_25 = e_23 ),
inference(forward_demodulation,[status(thm)],[f276,f294]) ).
fof(f305,plain,
! [X0] :
( ~ sQ7_spl
| select(a_28,X0) = select(a_24,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f265,f26]) ).
fof(f306,plain,
( ~ sQ7_spl
| select(a_28,i2) = e_27 ),
inference(paramodulation,[status(thm)],[f265,f24]) ).
fof(f308,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| a_32 = store(a_30,i2,e_23) ),
inference(forward_demodulation,[status(thm)],[f304,f291]) ).
fof(f319,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| select(a_32,i1) = e_23 ),
inference(forward_demodulation,[status(thm)],[f298,f63]) ).
fof(f320,plain,
( ~ sQ12_spl
| select(a_32,i2) = e_33 ),
inference(forward_demodulation,[status(thm)],[f163,f66]) ).
fof(f321,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| select(a_32,i2) = e_23 ),
inference(forward_demodulation,[status(thm)],[f295,f320]) ).
fof(f322,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| e_23 = select(a_28,i2)
| i1 = i2 ),
inference(paramodulation,[status(thm)],[f321,f62]) ).
fof(f323,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_23 = select(a_28,i1)
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f319,f62]) ).
fof(f326,definition,
( sQ20_spl
<=> i1 = i2 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ20_spl
| i1 = i2 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ20_spl
| i1 != i2 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ21_spl
<=> e_23 = select(a_28,i2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ21_spl
| e_23 = select(a_28,i2) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f322,f326,f329,f188,f112,f162]) ).
fof(f333,definition,
( sQ22_spl
<=> e_23 = select(a_28,i1) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ22_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f323,f71,f333,f112,f162,f188]) ).
fof(f339,plain,
! [X0] :
( ~ sQ12_spl
| select(a_32,X0) = select(a_30,X0)
| i2 = X0 ),
inference(forward_demodulation,[status(thm)],[f163,f65]) ).
fof(f340,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| e_23 = select(a_30,i2)
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f321,f339]) ).
fof(f341,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_23 = select(a_30,i1)
| i2 = i1 ),
inference(paramodulation,[status(thm)],[f319,f339]) ).
fof(f345,plain,
! [X0] :
( ~ sQ12_spl
| i2 = X0
| select(a_30,X0) = select(a_28,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f339,f62]) ).
fof(f346,definition,
( sQ23_spl
<=> e_23 = select(a_30,i2) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| sQ23_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f340,f105,f346,f188,f112,f162]) ).
fof(f350,definition,
( sQ24_spl
<=> e_23 = select(a_30,i1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ24_spl
| e_23 = select(a_30,i1) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ24_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f341,f326,f350,f112,f162,f188]) ).
fof(f358,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| e_23 = select(a_20,i1) ),
inference(backward_demodulation,[status(thm)],[f327,f303]) ).
fof(f359,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| a_26 = store(a_22,i1,e_23) ),
inference(backward_demodulation,[status(thm)],[f327,f302]) ).
fof(f360,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ20_spl
| a_28 = store(a_24,i1,e_23) ),
inference(backward_demodulation,[status(thm)],[f327,f299]) ).
fof(f362,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_32 = store(a_30,i1,e_23) ),
inference(backward_demodulation,[status(thm)],[f327,f308]) ).
fof(f363,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_30,i1) = e_23 ),
inference(backward_demodulation,[status(thm)],[f327,f276]) ).
fof(f364,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| a_30 = store(a_26,i1,e_23) ),
inference(backward_demodulation,[status(thm)],[f327,f143]) ).
fof(f365,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| i1 = i3 ),
inference(backward_demodulation,[status(thm)],[f327,f113]) ).
fof(f366,plain,
( ~ sQ12_spl
| ~ sQ20_spl
| i1 = i4 ),
inference(backward_demodulation,[status(thm)],[f327,f163]) ).
fof(f369,plain,
( ~ sQ20_spl
| select(a_24,i1) = e_23 ),
inference(backward_demodulation,[status(thm)],[f327,f55]) ).
fof(f370,plain,
( ~ sQ20_spl
| a_24 = store(a_20,i1,e_23) ),
inference(backward_demodulation,[status(thm)],[f327,f29]) ).
fof(f371,plain,
( ~ sQ20_spl
| e_23 = select(a_22,i1) ),
inference(backward_demodulation,[status(thm)],[f327,f37]) ).
fof(f372,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| e_23 = e_19 ),
inference(forward_demodulation,[status(thm)],[f51,f358]) ).
fof(f373,plain,
( ~ sQ20_spl
| e_23 = e_21 ),
inference(forward_demodulation,[status(thm)],[f53,f371]) ).
fof(f375,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| a_32 = store(a_28,i1,e_19) ),
inference(backward_demodulation,[status(thm)],[f372,f297]) ).
fof(f376,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ20_spl
| e_27 = e_19 ),
inference(backward_demodulation,[status(thm)],[f372,f300]) ).
fof(f377,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| e_31 = e_19 ),
inference(backward_demodulation,[status(thm)],[f372,f298]) ).
fof(f378,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e_33 = e_19 ),
inference(backward_demodulation,[status(thm)],[f372,f295]) ).
fof(f379,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| e_25 = e_19 ),
inference(backward_demodulation,[status(thm)],[f372,f304]) ).
fof(f380,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ20_spl
| e_29 = e_19 ),
inference(backward_demodulation,[status(thm)],[f372,f139]) ).
fof(f381,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| a_26 = store(a_22,i1,e_19) ),
inference(forward_demodulation,[status(thm)],[f372,f359]) ).
fof(f384,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ20_spl
| a_28 = store(a_24,i1,e_19) ),
inference(forward_demodulation,[status(thm)],[f372,f360]) ).
fof(f387,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ20_spl
| a_32 = store(a_30,i1,e_19) ),
inference(forward_demodulation,[status(thm)],[f372,f362]) ).
fof(f390,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| a_30 = store(a_26,i1,e_19) ),
inference(forward_demodulation,[status(thm)],[f372,f364]) ).
fof(f393,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_19 = e_21 ),
inference(forward_demodulation,[status(thm)],[f372,f373]) ).
fof(f394,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f93]) ).
fof(f395,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( i1 = i_35
| e_37 = select(a_22,i_35) ),
inference(paramodulation,[status(thm)],[f52,f44]) ).
fof(f398,definition,
( sQ25_spl
<=> e_37 = select(a_22,i_35) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ25_spl
| e_37 = select(a_22,i_35) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( sQ2_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f396,f398,f78]) ).
fof(f407,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| a_24 = store(a_20,i1,e_19) ),
inference(forward_demodulation,[status(thm)],[f372,f370]) ).
fof(f413,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| a_22 = store(a2,i1,e_19) ),
inference(backward_demodulation,[status(thm)],[f393,f28]) ).
fof(f414,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_19 = select(a1,i1) ),
inference(backward_demodulation,[status(thm)],[f393,f36]) ).
fof(f415,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_28,i1) = e_27 ),
inference(forward_demodulation,[status(thm)],[f327,f262]) ).
fof(f417,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_28,i1) = e_25 ),
inference(forward_demodulation,[status(thm)],[f327,f268]) ).
fof(f419,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_30,i1) = e_23 ),
inference(forward_demodulation,[status(thm)],[f327,f270]) ).
fof(f423,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| i1 = i1
| e_19 = select(a_20,i1) ),
inference(paramodulation,[status(thm)],[f50,f414]) ).
fof(f425,definition,
( sQ26_spl
<=> e_19 = select(a_20,i1) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ0_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f423,f425,f71,f112,f162,f188,f326]) ).
fof(f431,plain,
select(a_22,i1) = e_21,
inference(paramodulation,[status(thm)],[f28,f24]) ).
fof(f437,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| select(a_32,i1) = e_23 ),
inference(paramodulation,[status(thm)],[f297,f24]) ).
fof(f438,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| select(a_26,X0) = select(a_22,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f302,f26]) ).
fof(f439,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| select(a_26,i2) = e_23 ),
inference(paramodulation,[status(thm)],[f302,f24]) ).
fof(f440,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| select(a_28,X0) = select(a_24,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f299,f26]) ).
fof(f441,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| select(a_28,i2) = e_23 ),
inference(paramodulation,[status(thm)],[f299,f24]) ).
fof(f447,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| select(a_32,X0) = select(a_30,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f308,f26]) ).
fof(f448,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| select(a_32,i2) = e_23 ),
inference(paramodulation,[status(thm)],[f308,f24]) ).
fof(f454,plain,
! [X0] :
( ~ sQ7_spl
| select(a_30,X0) = select(a_26,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f143,f26]) ).
fof(f455,plain,
( ~ sQ7_spl
| select(a_30,i2) = e_23 ),
inference(paramodulation,[status(thm)],[f143,f24]) ).
fof(f456,plain,
! [X0] :
( select(a_24,X0) = select(a_20,X0)
| i2 = X0 ),
inference(paramodulation,[status(thm)],[f29,f26]) ).
fof(f457,plain,
select(a_24,i2) = e_23,
inference(paramodulation,[status(thm)],[f29,f24]) ).
fof(f459,plain,
! [X0] :
( ~ sQ7_spl
| select(a_28,X0) = select(a_24,X0)
| i2 = X0 ),
inference(forward_demodulation,[status(thm)],[f113,f58]) ).
fof(f460,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| e_23 = select(a_24,i2)
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f296,f459]) ).
fof(f462,definition,
( sQ27_spl
<=> e_23 = select(a_24,i2) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| sQ27_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f460,f105,f462,f162,f188,f112]) ).
fof(f467,plain,
! [X0] :
( ~ sQ7_spl
| select(a_30,X0) = select(a_26,X0)
| i2 = X0 ),
inference(forward_demodulation,[status(thm)],[f113,f171]) ).
fof(f469,plain,
( ~ sQ7_spl
| ~ sQ24_spl
| i2 = i1
| e_23 = select(a_26,i1) ),
inference(paramodulation,[status(thm)],[f467,f351]) ).
fof(f471,definition,
( sQ28_spl
<=> e_23 = select(a_26,i1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ28_spl
| e_23 = select(a_26,i1) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( ~ sQ7_spl
| ~ sQ24_spl
| sQ20_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f469,f471,f326,f350,f112]) ).
fof(f478,plain,
( ~ sQ20_spl
| e_23 = select(a_22,i1) ),
inference(backward_demodulation,[status(thm)],[f327,f37]) ).
fof(f480,plain,
( ~ sQ20_spl
| a_24 = store(a_20,i1,e_23) ),
inference(backward_demodulation,[status(thm)],[f327,f29]) ).
fof(f481,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| a_30 = store(a_26,i1,e_23) ),
inference(backward_demodulation,[status(thm)],[f327,f143]) ).
fof(f518,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_19 = select(a_22,i1) ),
inference(forward_demodulation,[status(thm)],[f372,f478]) ).
fof(f524,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_30,i1) = e_23 ),
inference(forward_demodulation,[status(thm)],[f327,f270]) ).
fof(f525,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| select(a_30,i1) = e_19 ),
inference(forward_demodulation,[status(thm)],[f372,f524]) ).
fof(f526,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_28,i1) = e_25 ),
inference(forward_demodulation,[status(thm)],[f327,f268]) ).
fof(f527,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| select(a_28,i1) = e_19 ),
inference(forward_demodulation,[status(thm)],[f379,f526]) ).
fof(f528,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_28,i1) = e_27 ),
inference(forward_demodulation,[status(thm)],[f327,f262]) ).
fof(f531,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_30,X0) = select(a_26,X0)
| i1 = X0 ),
inference(forward_demodulation,[status(thm)],[f327,f147]) ).
fof(f532,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| e_19 = select(a_26,i1)
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f525,f531]) ).
fof(f534,definition,
( sQ29_spl
<=> e_19 = select(a_26,i1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| sQ29_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f532,f71,f534,f162,f188,f326,f112]) ).
fof(f539,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_28,X0) = select(a_24,X0)
| i1 = X0 ),
inference(forward_demodulation,[status(thm)],[f327,f153]) ).
fof(f540,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| e_19 = select(a_24,i1)
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f527,f539]) ).
fof(f542,definition,
( sQ30_spl
<=> e_19 = select(a_24,i1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| sQ30_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f540,f71,f542,f162,f188,f326,f112]) ).
fof(f547,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| select(a_32,i1) = e_19 ),
inference(forward_demodulation,[status(thm)],[f372,f319]) ).
fof(f548,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| i1 = i1
| select(a_28,i1) = e_19 ),
inference(paramodulation,[status(thm)],[f62,f547]) ).
fof(f550,definition,
( sQ31_spl
<=> select(a_28,i1) = e_19 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| sQ0_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f548,f550,f71,f326,f112,f162,f188]) ).
fof(f562,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_30,i1) = e_23 ),
inference(forward_demodulation,[status(thm)],[f327,f276]) ).
fof(f564,plain,
( ~ sQ20_spl
| select(a_24,i1) = e_23 ),
inference(forward_demodulation,[status(thm)],[f327,f55]) ).
fof(f565,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| select(a_24,i1) = e_19 ),
inference(forward_demodulation,[status(thm)],[f372,f564]) ).
fof(f567,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ20_spl
| select(a_32,X0) = select(a_30,X0)
| i1 = X0 ),
inference(forward_demodulation,[status(thm)],[f327,f288]) ).
fof(f568,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| e_19 = select(a_30,i1)
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f547,f567]) ).
fof(f569,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ20_spl
| i1 = X0
| select(a_28,X0) = select(a_30,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f62,f567]) ).
fof(f572,definition,
( sQ32_spl
<=> e_19 = select(a_30,i1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| sQ32_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f568,f71,f572,f326,f112,f162,f188]) ).
fof(f576,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ20_spl
| select(a_28,X0) = select(a_30,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f569]) ).
fof(f582,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| select(a_26,i1) = e_23 ),
inference(forward_demodulation,[status(thm)],[f327,f439]) ).
fof(f583,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ20_spl
| select(a_26,i1) = e_19 ),
inference(forward_demodulation,[status(thm)],[f372,f582]) ).
fof(f589,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| select(a_30,i1) = e_23 ),
inference(forward_demodulation,[status(thm)],[f327,f455]) ).
fof(f591,plain,
( ~ sQ20_spl
| select(a_24,i1) = e_23 ),
inference(forward_demodulation,[status(thm)],[f327,f457]) ).
fof(f594,plain,
! [X0] :
( ~ sQ20_spl
| select(a_26,X0) = select(a_22,X0)
| i1 = X0 ),
inference(forward_demodulation,[status(thm)],[f327,f56]) ).
fof(f599,plain,
! [X0] :
( ~ sQ20_spl
| select(a_24,X0) = select(a_20,X0)
| i1 = X0 ),
inference(forward_demodulation,[status(thm)],[f327,f54]) ).
fof(f615,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ12_spl
| i1 = X0
| select(a_28,X0) = select(a_26,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f531,f576]) ).
fof(f619,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ12_spl
| select(a_28,X0) = select(a_26,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f615]) ).
fof(f627,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ12_spl
| i1 = X0
| select(a_24,X0) = select(a_26,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f539,f619]) ).
fof(f631,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ20_spl
| ~ sQ12_spl
| select(a_24,X0) = select(a_26,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f627]) ).
fof(f635,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl
| i1 = X0
| select(a_24,X0) = select(a_22,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f594,f631]) ).
fof(f639,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl
| select(a_24,X0) = select(a_22,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f635]) ).
fof(f643,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl
| i1 = X0
| select(a_20,X0) = select(a_22,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f599,f639]) ).
fof(f645,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl
| i1 = X0
| select(a_22,X0) = select(a_20,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f639,f599]) ).
fof(f647,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl
| select(a_20,X0) = select(a_22,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f643]) ).
fof(f649,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl
| select(a_22,X0) = select(a_20,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f645]) ).
fof(f651,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl
| select(a_20,i_35) = e_37
| i1 = i_35 ),
inference(paramodulation,[status(thm)],[f399,f647]) ).
fof(f655,definition,
( sQ33_spl
<=> select(a_20,i_35) = e_37 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl
| sQ33_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f651,f78,f655,f162,f112,f326,f398]) ).
fof(f690,plain,
( ~ sQ7_spl
| i2 = i2
| select(a_26,i2) = e_23 ),
inference(paramodulation,[status(thm)],[f454,f455]) ).
fof(f692,definition,
( sQ34_spl
<=> select(a_26,i2) = e_23 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ7_spl
| sQ5_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f690,f692,f105,f112]) ).
fof(f719,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_23 = select(a_22,i2)
| i2 = i2 ),
inference(paramodulation,[status(thm)],[f439,f438]) ).
fof(f720,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| e_23 = select(a_22,i1)
| i2 = i1 ),
inference(paramodulation,[status(thm)],[f472,f438]) ).
fof(f723,definition,
( sQ35_spl
<=> e_23 = select(a_22,i2) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ35_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f719,f105,f723,f112,f162,f188]) ).
fof(f727,definition,
( sQ36_spl
<=> e_23 = select(a_22,i1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ36_spl
| e_23 = select(a_22,i1) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ36_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f720,f326,f727,f112,f162,f188,f471]) ).
fof(f739,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| e_21 = select(a_30,i1) ),
inference(backward_demodulation,[status(thm)],[f760,f351]) ).
fof(f740,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| select(a_32,i1) = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f437]) ).
fof(f741,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| select(a_26,i2) = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f439]) ).
fof(f742,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ36_spl
| select(a_28,i2) = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f441]) ).
fof(f743,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| select(a_32,i2) = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f448]) ).
fof(f744,plain,
( ~ sQ7_spl
| ~ sQ36_spl
| select(a_30,i2) = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f455]) ).
fof(f745,plain,
( ~ sQ36_spl
| select(a_24,i2) = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f457]) ).
fof(f746,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| e_21 = select(a_20,i2) ),
inference(backward_demodulation,[status(thm)],[f760,f303]) ).
fof(f747,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| a_26 = store(a_22,i2,e_21) ),
inference(backward_demodulation,[status(thm)],[f760,f302]) ).
fof(f748,plain,
( ~ sQ28_spl
| ~ sQ36_spl
| e_21 = select(a_26,i1) ),
inference(backward_demodulation,[status(thm)],[f760,f472]) ).
fof(f749,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ36_spl
| a_28 = store(a_24,i2,e_21) ),
inference(backward_demodulation,[status(thm)],[f760,f299]) ).
fof(f750,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| a_32 = store(a_30,i2,e_21) ),
inference(backward_demodulation,[status(thm)],[f760,f308]) ).
fof(f751,plain,
( ~ sQ7_spl
| ~ sQ36_spl
| a_30 = store(a_26,i2,e_21) ),
inference(backward_demodulation,[status(thm)],[f760,f143]) ).
fof(f752,plain,
( ~ sQ36_spl
| a_24 = store(a_20,i2,e_21) ),
inference(backward_demodulation,[status(thm)],[f760,f29]) ).
fof(f753,plain,
( ~ sQ36_spl
| e_21 = select(a_22,i2) ),
inference(backward_demodulation,[status(thm)],[f760,f37]) ).
fof(f754,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ36_spl
| e_27 = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f300]) ).
fof(f755,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| e_31 = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f298]) ).
fof(f756,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| e_33 = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f295]) ).
fof(f757,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| a_32 = store(a_28,i1,e_21) ),
inference(backward_demodulation,[status(thm)],[f760,f297]) ).
fof(f758,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| e_25 = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f304]) ).
fof(f759,plain,
( ~ sQ7_spl
| ~ sQ36_spl
| e_29 = e_21 ),
inference(backward_demodulation,[status(thm)],[f760,f139]) ).
fof(f760,plain,
( ~ sQ36_spl
| e_23 = e_21 ),
inference(forward_demodulation,[status(thm)],[f431,f728]) ).
fof(f771,plain,
( ~ sQ7_spl
| ~ sQ24_spl
| ~ sQ36_spl
| i2 = i1
| e_21 = select(a_26,i1) ),
inference(paramodulation,[status(thm)],[f454,f739]) ).
fof(f773,definition,
( sQ37_spl
<=> e_21 = select(a_26,i1) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ37_spl
| e_21 = select(a_26,i1) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( ~ sQ7_spl
| ~ sQ24_spl
| ~ sQ36_spl
| sQ20_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f771,f773,f326,f727,f350,f112]) ).
fof(f780,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| i2 = i1
| select(a_30,i1) = e_21 ),
inference(paramodulation,[status(thm)],[f447,f740]) ).
fof(f781,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| i1 = i1
| select(a_28,i1) = e_21 ),
inference(paramodulation,[status(thm)],[f62,f740]) ).
fof(f784,definition,
( sQ38_spl
<=> select(a_30,i1) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ38_spl
| select(a_30,i1) = e_21 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| sQ20_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f780,f784,f326,f727,f188,f112,f162]) ).
fof(f788,definition,
( sQ39_spl
<=> select(a_28,i1) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| sQ0_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f781,f788,f71,f727,f112,f162,f188]) ).
fof(f794,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| i2 = i2
| select(a_22,i2) = e_21 ),
inference(paramodulation,[status(thm)],[f438,f741]) ).
fof(f796,definition,
( sQ40_spl
<=> select(a_22,i2) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| sQ5_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f794,f796,f105,f727,f112,f162,f188]) ).
fof(f801,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ36_spl
| i2 = i2
| select(a_24,i2) = e_21 ),
inference(paramodulation,[status(thm)],[f440,f742]) ).
fof(f803,definition,
( sQ41_spl
<=> select(a_24,i2) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ36_spl
| sQ5_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f801,f803,f105,f727,f162,f188,f112]) ).
fof(f808,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| i2 = i2
| select(a_30,i2) = e_21 ),
inference(paramodulation,[status(thm)],[f447,f743]) ).
fof(f809,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| i1 = i2
| select(a_28,i2) = e_21 ),
inference(paramodulation,[status(thm)],[f62,f743]) ).
fof(f812,definition,
( sQ42_spl
<=> select(a_30,i2) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| sQ5_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f808,f812,f105,f727,f188,f112,f162]) ).
fof(f816,definition,
( sQ43_spl
<=> select(a_28,i2) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ43_spl
| select(a_28,i2) = e_21 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ36_spl
| sQ20_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f809,f816,f326,f727,f188,f112,f162]) ).
fof(f822,plain,
( ~ sQ7_spl
| ~ sQ36_spl
| i2 = i2
| select(a_26,i2) = e_21 ),
inference(paramodulation,[status(thm)],[f454,f744]) ).
fof(f824,definition,
( sQ44_spl
<=> select(a_26,i2) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ7_spl
| ~ sQ36_spl
| sQ5_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f822,f824,f105,f727,f112]) ).
fof(f829,plain,
( ~ sQ36_spl
| i2 = i2
| select(a_20,i2) = e_21 ),
inference(paramodulation,[status(thm)],[f456,f745]) ).
fof(f831,definition,
( sQ45_spl
<=> select(a_20,i2) = e_21 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ36_spl
| sQ5_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f829,f831,f105,f727]) ).
fof(f836,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ28_spl
| ~ sQ36_spl
| i2 = i1
| e_21 = select(a_22,i1) ),
inference(paramodulation,[status(thm)],[f438,f748]) ).
fof(f838,definition,
( sQ46_spl
<=> e_21 = select(a_22,i1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ28_spl
| ~ sQ36_spl
| sQ20_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f836,f838,f326,f727,f471,f112,f162,f188]) ).
fof(f843,plain,
( ~ sQ7_spl
| ~ sQ36_spl
| ~ sQ12_spl
| i2 = i2
| e_21 = select(a_28,i2)
| i1 = i2 ),
inference(paramodulation,[status(thm)],[f744,f345]) ).
fof(f844,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| ~ sQ12_spl
| i2 = i1
| e_21 = select(a_28,i1)
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f739,f345]) ).
fof(f845,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ12_spl
| i2 = X0
| i2 = X0
| select(a_26,X0) = select(a_28,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f454,f345]) ).
fof(f849,plain,
( ~ sQ7_spl
| ~ sQ36_spl
| ~ sQ12_spl
| sQ5_spl
| sQ43_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f843,f326,f816,f105,f162,f727,f112]) ).
fof(f850,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| ~ sQ12_spl
| sQ20_spl
| sQ39_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f844,f71,f788,f326,f162,f727,f350]) ).
fof(f851,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ12_spl
| i2 = X0
| select(a_26,X0) = select(a_28,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f845]) ).
fof(f855,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ36_spl
| i2 = i2
| select(a_26,i2) = e_21
| i1 = i2 ),
inference(paramodulation,[status(thm)],[f742,f851]) ).
fof(f856,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| i2 = X0
| i2 = X0
| select(a_26,X0) = select(a_24,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f440,f851]) ).
fof(f859,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ36_spl
| sQ5_spl
| sQ44_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f855,f326,f824,f105,f727,f162,f188,f112]) ).
fof(f860,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| i2 = X0
| select(a_26,X0) = select(a_24,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f856]) ).
fof(f863,plain,
( ~ sQ28_spl
| ~ sQ36_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| i2 = i1
| e_21 = select(a_24,i1)
| i1 = i1 ),
inference(paramodulation,[status(thm)],[f748,f860]) ).
fof(f864,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| i2 = i2
| e_21 = select(a_24,i2)
| i1 = i2 ),
inference(paramodulation,[status(thm)],[f741,f860]) ).
fof(f865,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| i2 = X0
| i2 = X0
| select(a_22,X0) = select(a_24,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f438,f860]) ).
fof(f869,definition,
( sQ47_spl
<=> e_21 = select(a_24,i1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ28_spl
| ~ sQ36_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ12_spl
| sQ20_spl
| sQ47_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f863,f71,f869,f326,f162,f188,f112,f727,f471]) ).
fof(f873,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ36_spl
| sQ5_spl
| sQ41_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f864,f326,f803,f105,f727,f112,f162,f188]) ).
fof(f874,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| i2 = X0
| select(a_22,X0) = select(a_24,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f865]) ).
fof(f878,plain,
( ~ sQ36_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| i2 = i2
| select(a_22,i2) = e_21
| i1 = i2 ),
inference(paramodulation,[status(thm)],[f745,f874]) ).
fof(f879,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| i2 = X0
| i2 = X0
| select(a_22,X0) = select(a_20,X0)
| i1 = X0 ),
inference(paramodulation,[status(thm)],[f456,f874]) ).
fof(f882,plain,
( ~ sQ36_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ5_spl
| sQ40_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f878,f326,f796,f105,f112,f162,f188,f727]) ).
fof(f883,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| i2 = X0
| select(a_22,X0) = select(a_20,X0)
| i1 = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f879]) ).
fof(f886,plain,
( ~ sQ36_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| i2 = i2
| e_21 = select(a_20,i2)
| i1 = i2 ),
inference(paramodulation,[status(thm)],[f753,f883]) ).
fof(f890,plain,
( ~ sQ36_spl
| ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ5_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f886,f326,f831,f105,f112,f162,f188,f727]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl
| sQ5_spl
| sQ7_spl
| sQ12_spl
| sQ15_spl
| sQ17_spl
| ~ sQ20_spl
| sQ21_spl
| sQ24_spl
| sQ28_spl
| sQ36_spl
| sQ37_spl
| sQ38_spl
| sQ43_spl
| sQ46_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV556-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 09:10:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.42 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.42 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.070035 seconds
% 0.12/0.45 % CPU time: 0.239554 seconds
% 0.12/0.45 % Total memory used: 104.264 MB
% 0.12/0.45 % Net memory used: 103.910 MB
%------------------------------------------------------------------------------