%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV555-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:18:11 PM UTC 2026
% Result : Unsatisfiable 0.83s 0.97s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 43
% Syntax : Number of formulae : 429 ( 48 unt; 21 def)
% Number of atoms : 1389 ( 399 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1631 ( 671 ~; 939 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 25 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( select(store(X2,X0,X3),X1) = select(X2,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f3,axiom,
a_20 = store(a1,i1,e_19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
fof(f4,axiom,
a_22 = store(a2,i1,e_21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
fof(f5,axiom,
a_24 = store(a_20,i2,e_23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
fof(f6,axiom,
a_26 = store(a_22,i2,e_25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
fof(f7,axiom,
a_28 = store(a_24,i3,e_27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
fof(f8,axiom,
a_30 = store(a_26,i3,e_29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
fof(f9,axiom,
a_32 = store(a_28,i4,e_31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
fof(f10,axiom,
a_34 = store(a_30,i4,e_33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
fof(f11,axiom,
e_19 = select(a2,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
fof(f12,axiom,
e_21 = select(a1,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
fof(f13,axiom,
e_23 = select(a_22,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
fof(f14,axiom,
e_25 = select(a_20,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
fof(f15,axiom,
e_27 = select(a_26,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
fof(f16,axiom,
e_29 = select(a_24,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
fof(f17,axiom,
e_31 = select(a_30,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
fof(f18,axiom,
e_33 = select(a_28,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
fof(f19,axiom,
e_36 = select(a1,i_35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
fof(f20,axiom,
e_37 = select(a2,i_35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
fof(f22,axiom,
a_32 = a_34,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
fof(f23,negated_conjecture,
e_36 != e_37,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f24,plain,
store(a_28,i4,e_31) = a_34,
inference(definition_unfolding,[],[f9,f22]) ).
fof(f25,plain,
e_19 = select(a_20,i1),
inference(superposition,[],[f1,f3]) ).
fof(f26,plain,
e_21 = select(a_22,i1),
inference(superposition,[],[f1,f4]) ).
fof(f27,plain,
e_23 = select(a_24,i2),
inference(superposition,[],[f1,f5]) ).
fof(f28,plain,
e_25 = select(a_26,i2),
inference(superposition,[],[f1,f6]) ).
fof(f29,plain,
e_27 = select(a_28,i3),
inference(superposition,[],[f1,f7]) ).
fof(f30,plain,
e_29 = select(a_30,i3),
inference(superposition,[],[f1,f8]) ).
fof(f31,plain,
e_33 = select(a_34,i4),
inference(superposition,[],[f1,f10]) ).
fof(f32,plain,
e_31 = select(a_34,i4),
inference(superposition,[],[f1,f24]) ).
fof(f33,plain,
e_31 = e_33,
inference(forward_demodulation,[],[f31,f32]) ).
fof(f34,plain,
! [X0] :
( select(a1,X0) = select(a_20,X0)
| i1 = X0 ),
inference(superposition,[],[f2,f3]) ).
fof(f35,plain,
! [X0] :
( select(a2,X0) = select(a_22,X0)
| i1 = X0 ),
inference(superposition,[],[f2,f4]) ).
fof(f36,plain,
! [X0] :
( select(a_20,X0) = select(a_24,X0)
| i2 = X0 ),
inference(superposition,[],[f2,f5]) ).
fof(f37,plain,
! [X0] :
( select(a_22,X0) = select(a_26,X0)
| i2 = X0 ),
inference(superposition,[],[f2,f6]) ).
fof(f38,plain,
! [X0] :
( select(a_24,X0) = select(a_28,X0)
| i3 = X0 ),
inference(superposition,[],[f2,f7]) ).
fof(f39,plain,
! [X0] :
( select(a_26,X0) = select(a_30,X0)
| i3 = X0 ),
inference(superposition,[],[f2,f8]) ).
fof(f40,plain,
! [X0] :
( select(a_30,X0) = select(a_34,X0)
| i4 = X0 ),
inference(superposition,[],[f2,f10]) ).
fof(f41,plain,
! [X0] :
( select(a_28,X0) = select(a_34,X0)
| i4 = X0 ),
inference(superposition,[],[f2,f24]) ).
fof(f45,plain,
( e_36 = select(a_20,i_35)
| i1 = i_35 ),
inference(superposition,[],[f34,f19]) ).
fof(f48,definition,
( spl0_1
<=> i1 = i_35 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,plain,
( i1 != i_35
| spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( i1 = i_35
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl0_2
<=> e_36 = select(a_20,i_35) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( e_36 = select(a_20,i_35)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f45,f52,f48]) ).
fof(f57,plain,
( e_37 = select(a_22,i_35)
| i1 = i_35 ),
inference(superposition,[],[f35,f20]) ).
fof(f60,definition,
( spl0_3
<=> e_37 = select(a_22,i_35) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f62,plain,
( e_37 = select(a_22,i_35)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f64,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f57,f60,f48]) ).
fof(f66,plain,
( select(a2,i1) = e_37
| ~ spl0_1 ),
inference(superposition,[],[f20,f50]) ).
fof(f67,plain,
( select(a1,i1) = e_36
| ~ spl0_1 ),
inference(superposition,[],[f19,f50]) ).
fof(f68,plain,
( e_21 = e_36
| ~ spl0_1 ),
inference(forward_demodulation,[],[f67,f12]) ).
fof(f69,plain,
( e_19 = e_37
| ~ spl0_1 ),
inference(forward_demodulation,[],[f66,f11]) ).
fof(f71,plain,
( e_29 = select(a_20,i3)
| i2 = i3 ),
inference(superposition,[],[f36,f16]) ).
fof(f74,definition,
( spl0_4
<=> i2 = i3 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f75,plain,
( i2 != i3
| spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( i2 = i3
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_5
<=> e_29 = select(a_20,i3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f79,plain,
( e_29 != select(a_20,i3)
| spl0_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( e_29 = select(a_20,i3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f71,f78,f74]) ).
fof(f85,plain,
( e_27 = select(a_26,i2)
| ~ spl0_4 ),
inference(superposition,[],[f15,f76]) ).
fof(f86,plain,
( e_29 = select(a_24,i2)
| ~ spl0_4 ),
inference(superposition,[],[f16,f76]) ).
fof(f89,plain,
( e_23 = e_29
| ~ spl0_4 ),
inference(forward_demodulation,[],[f86,f27]) ).
fof(f90,plain,
( e_25 = e_27
| ~ spl0_4 ),
inference(forward_demodulation,[],[f85,f28]) ).
fof(f91,plain,
( e_27 = select(a_22,i3)
| i2 = i3 ),
inference(superposition,[],[f37,f15]) ).
fof(f94,plain,
( e_33 = select(a_24,i4)
| i3 = i4 ),
inference(superposition,[],[f18,f38]) ).
fof(f95,plain,
( e_31 = select(a_24,i4)
| i3 = i4 ),
inference(forward_demodulation,[],[f94,f33]) ).
fof(f100,definition,
( spl0_6
<=> e_31 = select(a_24,i4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f101,plain,
( e_31 != select(a_24,i4)
| spl0_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( e_31 = select(a_24,i4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl0_7
<=> i2 = i4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f105,plain,
( i2 != i4
| spl0_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f106,plain,
( i2 = i4
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f112,definition,
( spl0_8
<=> i3 = i4 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f113,plain,
( i3 != i4
| spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( i3 = i4
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f95,f100,f112]) ).
fof(f117,plain,
( e_31 = select(a_26,i4)
| i3 = i4 ),
inference(superposition,[],[f39,f17]) ).
fof(f120,definition,
( spl0_9
<=> e_31 = select(a_26,i4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f122,plain,
( e_31 = select(a_26,i4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f117,f120,f112]) ).
fof(f126,plain,
( e_31 = select(a_30,i3)
| ~ spl0_8 ),
inference(superposition,[],[f17,f114]) ).
fof(f127,plain,
( e_33 = select(a_28,i3)
| ~ spl0_8 ),
inference(superposition,[],[f18,f114]) ).
fof(f131,plain,
( e_27 = e_33
| ~ spl0_8 ),
inference(forward_demodulation,[],[f127,f29]) ).
fof(f132,plain,
( e_29 = e_31
| ~ spl0_8 ),
inference(forward_demodulation,[],[f126,f30]) ).
fof(f134,plain,
( e_19 != e_36
| ~ spl0_1 ),
inference(superposition,[],[f23,f69]) ).
fof(f138,plain,
! [X0] :
( select(a_28,X0) = select(a_30,X0)
| i4 = X0
| i4 = X0 ),
inference(superposition,[],[f40,f41]) ).
fof(f139,plain,
! [X0] :
( select(a_28,X0) = select(a_30,X0)
| i4 = X0 ),
inference(duplicate_literal_removal,[],[f138]) ).
fof(f141,plain,
( ! [X0] :
( select(a_28,X0) = select(a_30,X0)
| i3 = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f139,f114]) ).
fof(f144,plain,
( e_27 = e_31
| ~ spl0_8 ),
inference(superposition,[],[f33,f131]) ).
fof(f152,plain,
( e_31 = select(a_20,i4)
| i2 = i4
| ~ spl0_6 ),
inference(superposition,[],[f102,f36]) ).
fof(f160,plain,
( e_27 = e_29
| ~ spl0_8 ),
inference(superposition,[],[f132,f144]) ).
fof(f168,plain,
( ! [X0] :
( select(a_26,X0) = select(a_28,X0)
| i3 = X0
| i3 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f39,f141]) ).
fof(f170,plain,
( ! [X0] :
( select(a_26,X0) = select(a_28,X0)
| i3 = X0 )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f186,plain,
( ! [X0] :
( select(a_24,X0) = select(a_26,X0)
| i3 = X0
| i3 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f38,f170]) ).
fof(f188,plain,
( ! [X0] :
( select(a_24,X0) = select(a_26,X0)
| i3 = X0 )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f186]) ).
fof(f226,plain,
( ! [X0] :
( select(a_22,X0) = select(a_24,X0)
| i2 = X0
| i3 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f37,f188]) ).
fof(f227,plain,
( e_25 = select(a_24,i2)
| i2 = i3
| ~ spl0_8 ),
inference(superposition,[],[f28,f188]) ).
fof(f228,plain,
( e_25 = select(a_24,i2)
| spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f227,f75]) ).
fof(f230,plain,
( e_23 = e_25
| spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f228,f27]) ).
fof(f235,plain,
( ! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i2 = X0
| i3 = X0 )
| ~ spl0_8 ),
inference(superposition,[],[f36,f226]) ).
fof(f237,plain,
( ! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i3 = X0 )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f241,plain,
( e_21 = select(a_20,i1)
| i1 = i2
| i1 = i3
| ~ spl0_8 ),
inference(superposition,[],[f237,f26]) ).
fof(f242,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| i3 = i_35
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f237,f62]) ).
fof(f247,plain,
( e_36 = e_37
| i2 = i_35
| i3 = i_35
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f242,f54]) ).
fof(f248,plain,
( e_19 = e_21
| i1 = i2
| i1 = i3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f241,f25]) ).
fof(f251,definition,
( spl0_10
<=> i1 = i3 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f252,plain,
( i1 != i3
| spl0_10 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( i1 = i3
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_11
<=> i1 = i2 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f256,plain,
( i1 != i2
| spl0_11 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( i1 = i2
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl0_12
<=> e_19 = e_21 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f260,plain,
( e_19 != e_21
| spl0_12 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f263,plain,
( i2 = i_35
| i3 = i_35
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f247,f23]) ).
fof(f264,plain,
( spl0_10
| spl0_11
| spl0_12
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f248,f112,f259,f255,f251]) ).
fof(f266,definition,
( spl0_13
<=> i3 = i_35 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f267,plain,
( i3 != i_35
| spl0_13 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( i3 = i_35
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl0_14
<=> i2 = i_35 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f271,plain,
( i2 != i_35
| spl0_14 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( i2 = i_35
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,plain,
( spl0_13
| spl0_14
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f263,f112,f60,f52,f270,f266]) ).
fof(f276,definition,
( spl0_15
<=> e_31 = select(a_20,i4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f278,plain,
( e_31 = select(a_20,i4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f280,plain,
( spl0_7
| spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f152,f100,f276,f104]) ).
fof(f312,plain,
( e_31 != select(a_24,i3)
| spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f101,f114]) ).
fof(f315,plain,
( e_29 != e_31
| spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f312,f16]) ).
fof(f317,plain,
( $false
| spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f315,f132]) ).
fof(f318,plain,
( spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f323,plain,
( i2 = i3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f106,f114]) ).
fof(f339,plain,
( $false
| spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f323,f75]) ).
fof(f340,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f349,plain,
( i1 = i2
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f76,f253]) ).
fof(f351,plain,
( e_27 = select(a_22,i1)
| i2 = i3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f91,f253]) ).
fof(f354,plain,
( spl0_11
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f349,f251,f74,f255]) ).
fof(f356,plain,
( e_21 = e_27
| i2 = i3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f351,f26]) ).
fof(f365,definition,
( spl0_16
<=> e_19 = e_25 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f367,plain,
( e_19 = e_25
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f370,plain,
( e_31 = select(a_26,i2)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f122,f106]) ).
fof(f375,plain,
( e_25 = e_31
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f370,f28]) ).
fof(f376,plain,
( e_19 != e_21
| ~ spl0_1 ),
inference(superposition,[],[f134,f68]) ).
fof(f379,plain,
( i1 = i_35
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f268,f253]) ).
fof(f380,plain,
( $false
| spl0_1
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f379,f49]) ).
fof(f381,plain,
( spl0_1
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f382,plain,
( ~ spl0_12
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f376,f48,f259]) ).
fof(f394,plain,
! [X0] :
( select(a_26,X0) = select(a_28,X0)
| i4 = X0
| i3 = X0 ),
inference(superposition,[],[f139,f39]) ).
fof(f397,plain,
( e_29 = select(a_28,i3)
| i3 = i4 ),
inference(superposition,[],[f30,f139]) ).
fof(f480,plain,
( e_23 = e_27
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f89,f160]) ).
fof(f489,plain,
( e_23 = e_25
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f480,f90]) ).
fof(f500,plain,
( e_29 = select(a_24,i1)
| ~ spl0_10 ),
inference(superposition,[],[f16,f253]) ).
fof(f503,plain,
( e_29 = select(a_20,i1)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f80,f253]) ).
fof(f504,plain,
( e_19 = e_29
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f503,f25]) ).
fof(f507,plain,
( e_27 = select(a_24,i1)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f500,f160]) ).
fof(f513,plain,
( e_25 = select(a_24,i1)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f507,f90]) ).
fof(f525,plain,
( e_23 = select(a_22,i1)
| ~ spl0_11 ),
inference(superposition,[],[f13,f257]) ).
fof(f526,plain,
( e_25 = select(a_20,i1)
| ~ spl0_11 ),
inference(superposition,[],[f14,f257]) ).
fof(f527,plain,
( e_23 = select(a_24,i1)
| ~ spl0_11 ),
inference(superposition,[],[f27,f257]) ).
fof(f535,plain,
( e_19 = e_25
| ~ spl0_11 ),
inference(forward_demodulation,[],[f526,f25]) ).
fof(f536,plain,
( e_21 = e_23
| ~ spl0_11 ),
inference(forward_demodulation,[],[f525,f26]) ).
fof(f538,plain,
( spl0_16
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f535,f255,f365]) ).
fof(f569,plain,
( e_19 = e_27
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f160,f504]) ).
fof(f597,plain,
( e_19 = select(a_24,i1)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f513,f367]) ).
fof(f603,plain,
( e_21 = select(a_24,i1)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f527,f536]) ).
fof(f617,plain,
( e_19 = e_21
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f603,f597]) ).
fof(f624,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f617,f260]) ).
fof(f625,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f626,plain,
( i1 != i2
| spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f75,f253]) ).
fof(f627,plain,
( e_19 = e_23
| spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f230,f367]) ).
fof(f632,plain,
( e_19 = e_21
| i2 = i3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f356,f569]) ).
fof(f655,plain,
( i2 = i3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f632,f260]) ).
fof(f669,plain,
( i1 = i2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f655,f253]) ).
fof(f678,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_11
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f669,f256]) ).
fof(f679,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f684,plain,
( select(a_20,i2) = e_36
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f54,f272]) ).
fof(f685,plain,
( e_25 = e_36
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f684,f14]) ).
fof(f687,plain,
( select(a_22,i2) = e_37
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f62,f272]) ).
fof(f688,plain,
( e_23 = e_37
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f687,f13]) ).
fof(f694,plain,
( e_23 != e_36
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f23,f688]) ).
fof(f724,definition,
( spl0_17
<=> e_27 = select(a_22,i3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f726,plain,
( e_27 = select(a_22,i3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f728,plain,
( spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f91,f724,f74]) ).
fof(f736,plain,
( i2 != i3
| spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f267,f272]) ).
fof(f745,plain,
( $false
| ~ spl0_4
| spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f736,f76]) ).
fof(f746,plain,
( ~ spl0_4
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f753,plain,
( e_23 = e_36
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f685,f489]) ).
fof(f757,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f753,f694]) ).
fof(f758,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f764,plain,
( i2 = i_35
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f268,f76]) ).
fof(f765,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f764,f271]) ).
fof(f766,plain,
( ~ spl0_4
| ~ spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f771,plain,
( e_19 = e_21
| spl0_4
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f536,f627]) ).
fof(f773,plain,
( i1 = i3
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f268,f50]) ).
fof(f776,plain,
( $false
| spl0_4
| ~ spl0_8
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f771,f260]) ).
fof(f777,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f778,plain,
( $false
| ~ spl0_1
| spl0_10
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f773,f252]) ).
fof(f779,plain,
( ~ spl0_1
| spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f782,plain,
( e_37 = select(a2,i3)
| ~ spl0_13 ),
inference(superposition,[],[f20,f268]) ).
fof(f788,plain,
( e_37 = select(a_22,i3)
| i1 = i3
| ~ spl0_13 ),
inference(superposition,[],[f35,f782]) ).
fof(f789,plain,
( e_37 = select(a_22,i3)
| spl0_10
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f788,f252]) ).
fof(f791,plain,
( e_27 = e_37
| spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f789,f726]) ).
fof(f793,plain,
( e_36 = select(a_20,i3)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f54,f268]) ).
fof(f794,plain,
( e_29 = e_36
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f793,f80]) ).
fof(f795,plain,
( e_27 = e_36
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f794,f160]) ).
fof(f798,plain,
( e_27 != e_36
| spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f23,f791]) ).
fof(f799,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f798,f795]) ).
fof(f800,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f801,plain,
( e_29 = select(a_28,i3)
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f397,f113]) ).
fof(f803,plain,
( i1 != i4
| spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f105,f257]) ).
fof(f805,plain,
( e_27 = e_29
| spl0_8 ),
inference(forward_demodulation,[],[f801,f29]) ).
fof(f810,plain,
( e_31 = select(a_22,i4)
| i2 = i4
| ~ spl0_9 ),
inference(superposition,[],[f122,f37]) ).
fof(f820,plain,
( e_23 = select(a_24,i1)
| ~ spl0_11 ),
inference(superposition,[],[f27,f257]) ).
fof(f837,plain,
! [X0] :
( select(a_24,X0) = select(a_26,X0)
| i3 = X0
| i4 = X0
| i3 = X0 ),
inference(superposition,[],[f38,f394]) ).
fof(f838,plain,
! [X0] :
( select(a_24,X0) = select(a_26,X0)
| i3 = X0
| i4 = X0 ),
inference(duplicate_literal_removal,[],[f837]) ).
fof(f859,plain,
( e_25 = select(a_24,i2)
| i2 = i3
| i2 = i4 ),
inference(superposition,[],[f838,f28]) ).
fof(f861,plain,
! [X0] :
( select(a_22,X0) = select(a_24,X0)
| i2 = X0
| i3 = X0
| i4 = X0 ),
inference(superposition,[],[f37,f838]) ).
fof(f866,plain,
( e_25 = select(a_24,i2)
| i2 = i4
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f859,f75]) ).
fof(f869,plain,
( e_23 = e_25
| i2 = i4
| spl0_4 ),
inference(forward_demodulation,[],[f866,f27]) ).
fof(f871,plain,
( e_19 = e_23
| i2 = i4
| spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f869,f367]) ).
fof(f895,definition,
( spl0_18
<=> i4 = i_35 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f896,plain,
( i4 != i_35
| spl0_18 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f897,plain,
( i4 = i_35
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f903,plain,
( e_36 = select(a_20,i4)
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f54,f897]) ).
fof(f904,plain,
( e_37 = select(a_22,i4)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f62,f897]) ).
fof(f908,plain,
( e_31 = e_36
| ~ spl0_2
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f903,f278]) ).
fof(f913,plain,
( e_19 = e_31
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f375,f367]) ).
fof(f915,definition,
( spl0_19
<=> e_31 = select(a_22,i4) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f916,plain,
( e_31 != select(a_22,i4)
| spl0_19 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f917,plain,
( e_31 = select(a_22,i4)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f919,definition,
( spl0_20
<=> i1 = i4 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f920,plain,
( i1 != i4
| spl0_20 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f921,plain,
( i1 = i4
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f929,plain,
( e_29 = e_36
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f793,f80]) ).
fof(f933,plain,
( e_27 = e_36
| ~ spl0_2
| ~ spl0_5
| spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f929,f805]) ).
fof(f936,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| spl0_8
| spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f933,f798]) ).
fof(f937,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_8
| spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f941,plain,
( i1 != i4
| ~ spl0_1
| spl0_18 ),
inference(forward_demodulation,[],[f896,f50]) ).
fof(f942,plain,
( e_21 = select(a_24,i1)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f820,f536]) ).
fof(f945,plain,
( e_19 = e_21
| i2 = i4
| spl0_4
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f871,f536]) ).
fof(f948,plain,
( $false
| ~ spl0_1
| spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f941,f921]) ).
fof(f949,plain,
( ~ spl0_1
| spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f951,plain,
( i2 = i4
| spl0_4
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f945,f260]) ).
fof(f956,plain,
( ~ spl0_20
| spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f803,f255,f104,f919]) ).
fof(f961,plain,
( i1 = i4
| spl0_4
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f951,f257]) ).
fof(f966,plain,
( $false
| spl0_4
| ~ spl0_11
| spl0_12
| ~ spl0_16
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f961,f920]) ).
fof(f967,plain,
( spl0_4
| ~ spl0_11
| spl0_12
| ~ spl0_16
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f988,plain,
( e_31 = select(a_24,i1)
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f102,f921]) ).
fof(f991,plain,
( e_31 = select(a_20,i1)
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f278,f921]) ).
fof(f992,plain,
( e_19 = e_31
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f991,f25]) ).
fof(f994,plain,
( e_21 = e_31
| ~ spl0_6
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f988,f942]) ).
fof(f1001,plain,
( e_19 = e_21
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f994,f913]) ).
fof(f1004,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1001,f260]) ).
fof(f1005,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1006,plain,
( i1 = i3
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f76,f257]) ).
fof(f1007,plain,
( e_21 = e_29
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f89,f536]) ).
fof(f1008,plain,
( e_19 = e_27
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f90,f367]) ).
fof(f1017,plain,
( e_23 = e_25
| i2 = i3
| i2 = i4 ),
inference(forward_demodulation,[],[f859,f27]) ).
fof(f1018,plain,
( $false
| ~ spl0_4
| spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1006,f252]) ).
fof(f1019,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1041,plain,
( i1 = i2
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f272,f50]) ).
fof(f1043,plain,
( e_21 = e_27
| ~ spl0_4
| spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f1007,f805]) ).
fof(f1048,plain,
( e_19 = e_21
| ~ spl0_4
| spl0_8
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1043,f1008]) ).
fof(f1051,plain,
( $false
| ~ spl0_4
| spl0_8
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1048,f260]) ).
fof(f1052,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1054,plain,
( ~ spl0_11
| spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f626,f251,f74,f255]) ).
fof(f1056,plain,
( ! [X0] :
( select(a_22,X0) = select(a_24,X0)
| i1 = X0
| i2 = X0
| i4 = X0 )
| ~ spl0_10 ),
inference(forward_demodulation,[],[f861,f253]) ).
fof(f1072,plain,
( e_27 = select(a_22,i1)
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f726,f253]) ).
fof(f1075,plain,
( e_21 = e_27
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1072,f26]) ).
fof(f1084,plain,
( e_19 = e_27
| ~ spl0_5
| spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f805,f504]) ).
fof(f1101,plain,
( ! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i1 = X0
| i2 = X0
| i4 = X0 )
| ~ spl0_10 ),
inference(superposition,[],[f36,f1056]) ).
fof(f1103,plain,
( ! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i1 = X0
| i4 = X0 )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f1101]) ).
fof(f1108,plain,
( e_19 = e_21
| ~ spl0_5
| spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f1075,f1084]) ).
fof(f1109,plain,
( spl0_12
| ~ spl0_5
| spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1108,f724,f251,f112,f78,f259]) ).
fof(f1116,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| i1 = i_35
| i4 = i_35
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f1103,f62]) ).
fof(f1118,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| i1 = i_35
| i4 = i_35
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f62,f1103]) ).
fof(f1119,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| i4 = i_35
| spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1118,f49]) ).
fof(f1120,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| i4 = i_35
| spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1116,f49]) ).
fof(f1121,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| spl0_1
| ~ spl0_3
| ~ spl0_10
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1119,f896]) ).
fof(f1123,plain,
( e_36 = e_37
| i2 = i_35
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| spl0_18 ),
inference(forward_demodulation,[],[f1121,f54]) ).
fof(f1125,plain,
( i2 = i_35
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1123,f23]) ).
fof(f1127,plain,
( spl0_14
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f1125,f895,f251,f60,f52,f48,f270]) ).
fof(f1151,plain,
( e_31 = e_37
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f904,f917]) ).
fof(f1169,plain,
( e_31 = select(a_24,i2)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f102,f106]) ).
fof(f1177,plain,
( e_23 = e_31
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1169,f27]) ).
fof(f1193,plain,
( i2 = i_35
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f897,f106]) ).
fof(f1196,plain,
( e_37 = select(a_20,i_35)
| i4 = i_35
| spl0_1
| ~ spl0_3
| ~ spl0_10
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1120,f271]) ).
fof(f1204,plain,
( e_36 = e_37
| i4 = i_35
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| spl0_14 ),
inference(forward_demodulation,[],[f1196,f54]) ).
fof(f1206,plain,
( i4 = i_35
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1204,f23]) ).
fof(f1208,plain,
( i2 = i_35
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| spl0_14 ),
inference(forward_demodulation,[],[f1206,f106]) ).
fof(f1211,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1208,f271]) ).
fof(f1212,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
fof(f1216,plain,
( i2 = i4
| ~ spl0_9
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f810,f916]) ).
fof(f1221,plain,
( $false
| spl0_7
| ~ spl0_9
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f1216,f105]) ).
fof(f1222,plain,
( spl0_7
| ~ spl0_9
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
fof(f1233,plain,
( e_31 != e_36
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f23,f1151]) ).
fof(f1234,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1233,f908]) ).
fof(f1235,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1236,plain,
( spl0_14
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1193,f895,f104,f270]) ).
fof(f1259,plain,
( e_23 != e_25
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f694,f685]) ).
fof(f1275,plain,
( i2 = i3
| i2 = i4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1017,f1259]) ).
fof(f1277,plain,
( i2 = i3
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1275,f105]) ).
fof(f1285,definition,
( spl0_21
<=> e_23 = e_25 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f1286,plain,
( e_23 != e_25
| spl0_21 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1287,plain,
( e_23 = e_25
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1315,plain,
( e_23 = e_25
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f375,f1177]) ).
fof(f1320,plain,
( spl0_21
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1315,f120,f104,f100,f1285]) ).
fof(f1394,plain,
! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i2 = X0
| i3 = X0
| i4 = X0 ),
inference(superposition,[],[f36,f861]) ).
fof(f1395,plain,
! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i3 = X0
| i4 = X0 ),
inference(duplicate_literal_removal,[],[f1394]) ).
fof(f1397,plain,
( ! [X0] :
( i2 = X0
| select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i3 = X0 )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1395,f106]) ).
fof(f1398,plain,
( ! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i3 = X0 )
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f1397]) ).
fof(f1410,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| i3 = i_35
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f1398,f62]) ).
fof(f1417,plain,
( e_37 = select(a_20,i_35)
| i3 = i_35
| ~ spl0_3
| ~ spl0_7
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1410,f271]) ).
fof(f1421,plain,
( e_37 = select(a_20,i_35)
| ~ spl0_3
| ~ spl0_7
| spl0_13
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1417,f267]) ).
fof(f1425,plain,
( e_36 = e_37
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f1421,f54]) ).
fof(f1429,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_13
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1425,f23]) ).
fof(f1430,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1432,plain,
( e_21 = select(a_20,i1)
| i1 = i2
| i1 = i3
| i1 = i4 ),
inference(superposition,[],[f1395,f26]) ).
fof(f1433,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| i3 = i_35
| i4 = i_35
| ~ spl0_3 ),
inference(superposition,[],[f1395,f62]) ).
fof(f1439,plain,
( e_37 = select(a_20,i_35)
| i3 = i_35
| i4 = i_35
| ~ spl0_3
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1433,f271]) ).
fof(f1440,plain,
( e_21 = select(a_20,i1)
| i1 = i3
| i1 = i4
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f1432,f256]) ).
fof(f1443,plain,
( e_37 = select(a_20,i_35)
| i4 = i_35
| ~ spl0_3
| spl0_13
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1439,f267]) ).
fof(f1444,plain,
( e_21 = select(a_20,i1)
| i1 = i4
| spl0_10
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f1440,f252]) ).
fof(f1447,plain,
( e_37 = select(a_20,i_35)
| ~ spl0_3
| spl0_13
| spl0_14
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1443,f896]) ).
fof(f1448,plain,
( e_21 = select(a_20,i1)
| spl0_10
| spl0_11
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f1444,f920]) ).
fof(f1451,plain,
( e_36 = e_37
| ~ spl0_2
| ~ spl0_3
| spl0_13
| spl0_14
| spl0_18 ),
inference(forward_demodulation,[],[f1447,f54]) ).
fof(f1452,plain,
( e_19 = e_21
| spl0_10
| spl0_11
| spl0_20 ),
inference(forward_demodulation,[],[f1448,f25]) ).
fof(f1455,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_13
| spl0_14
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1451,f23]) ).
fof(f1456,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_13
| spl0_14
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1457,plain,
( e_23 = e_36
| ~ spl0_2
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f685,f1287]) ).
fof(f1462,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1277,f75]) ).
fof(f1463,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1462]) ).
fof(f1464,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1457,f694]) ).
fof(f1465,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1467,plain,
( e_29 = e_36
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f793,f80]) ).
fof(f1474,plain,
( e_25 = e_29
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1467,f685]) ).
fof(f1479,plain,
( e_23 = e_25
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1474,f89]) ).
fof(f1481,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1479,f1286]) ).
fof(f1482,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1483,plain,
( e_29 != select(a_20,i2)
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f79,f76]) ).
fof(f1485,plain,
( e_25 != e_29
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f1483,f14]) ).
fof(f1487,plain,
( e_25 != e_27
| ~ spl0_4
| spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f1485,f805]) ).
fof(f1488,plain,
( $false
| ~ spl0_4
| spl0_5
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f1487,f90]) ).
fof(f1489,plain,
( ~ spl0_4
| spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1492,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1041,f256]) ).
fof(f1493,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1500,plain,
( $false
| spl0_10
| spl0_11
| spl0_12
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f1452,f260]) ).
fof(f1501,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f1500]) ).
fof(f1535,plain,
( e_31 = select(a_22,i1)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f917,f921]) ).
fof(f1536,plain,
( e_21 = e_31
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1535,f26]) ).
fof(f1546,plain,
( e_19 = e_21
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1536,f992]) ).
fof(f1549,plain,
( $false
| spl0_12
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1546,f260]) ).
fof(f1550,plain,
( spl0_12
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f56]) ).
cnf(s4,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f64]) ).
cnf(s6,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f82]) ).
cnf(s9,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f115]) ).
cnf(s12,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f124]) ).
cnf(s15,plain,
( ~ spl0_8
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f264]) ).
cnf(s17,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f274]) ).
cnf(s19,plain,
( ~ spl0_6
| spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f280]) ).
cnf(s21,plain,
( spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f318]) ).
cnf(s24,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f340]) ).
cnf(s25,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f354]) ).
cnf(s31,plain,
( spl0_1
| ~ spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f381]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_12 ),
inference(sat_conversion,[],[f382]) ).
cnf(s33,plain,
( ~ spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f538]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f625]) ).
cnf(s41,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f679]) ).
cnf(s51,plain,
( spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f728]) ).
cnf(s53,plain,
( ~ spl0_4
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f746]) ).
cnf(s56,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(sat_conversion,[],[f758]) ).
cnf(s57,plain,
( ~ spl0_4
| ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f766]) ).
cnf(s62,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f777]) ).
cnf(s63,plain,
( ~ spl0_1
| spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f779]) ).
cnf(s64,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f800]) ).
cnf(s76,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_8
| spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f937]) ).
cnf(s81,plain,
( ~ spl0_1
| spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f949]) ).
cnf(s82,plain,
( spl0_7
| ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f956]) ).
cnf(s85,plain,
( spl0_4
| ~ spl0_11
| spl0_12
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f967]) ).
cnf(s87,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s92,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s97,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s98,plain,
( spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s99,plain,
( ~ spl0_5
| spl0_8
| ~ spl0_10
| spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f1109]) ).
cnf(s101,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s112,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f1212]) ).
cnf(s114,plain,
( spl0_7
| ~ spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s115,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1235]) ).
cnf(s116,plain,
( ~ spl0_7
| spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f1236]) ).
cnf(s125,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s128,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f1430]) ).
cnf(s130,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_13
| spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s133,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_7
| ~ spl0_14 ),
inference(sat_conversion,[],[f1463]) ).
cnf(s134,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_21 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s135,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s136,plain,
( ~ spl0_4
| spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f1489]) ).
cnf(s144,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_14 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s146,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s148,plain,
( spl0_12
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1550]) ).
cnf(s149,plain,
spl0_6,
inference(rat,[],[s9,s21]) ).
cnf(s150,plain,
( spl0_8
| spl0_7
| spl0_4
| spl0_1 ),
inference(rat,[],[s76,s101,s130,s115,s114,s12,s51,s6,s133,s4,s2,s19,s149]) ).
cnf(s151,plain,
( spl0_7
| spl0_4
| spl0_1 ),
inference(rat,[],[s31,s64,s17,s150,s133,s4,s2,s51,s6]) ).
cnf(s152,plain,
( spl0_4
| spl0_1 ),
inference(rat,[],[s76,s128,s112,s134,s125,s12,s24,s151,s6,s51,s4,s2,s149]) ).
cnf(s153,plain,
( ~ spl0_13
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s135,s134,s57,s4,s2,s152]) ).
cnf(s154,plain,
( spl0_13
| spl0_14
| ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s114,s115,s19,s12,s130,s128,s17,s149]) ).
cnf(s155,plain,
( spl0_13
| spl0_1 ),
inference(rat,[],[s154,s53,s4,s2,s152]) ).
cnf(s156,plain,
spl0_1,
inference(rat,[],[s136,s56,s153,s57,s155,s152,s2,s4]) ).
cnf(s157,plain,
~ spl0_12,
inference(rat,[],[s32,s156]) ).
cnf(s160,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s97,s37,s157]) ).
cnf(s161,plain,
( ~ spl0_11
| ~ spl0_10 ),
inference(rat,[],[s160,s98,s33]) ).
cnf(s162,plain,
( spl0_11
| ~ spl0_10 ),
inference(rat,[],[s41,s99,s6,s51,s25,s157]) ).
cnf(s163,plain,
~ spl0_10,
inference(rat,[],[s162,s161]) ).
cnf(s164,plain,
~ spl0_13,
inference(rat,[],[s63,s156,s163]) ).
cnf(s165,plain,
~ spl0_4,
inference(rat,[],[s148,s19,s114,s116,s12,s81,s15,s146,s53,s92,s157,s149,s156,s163,s164]) ).
cnf(s168,plain,
( ~ spl0_11
| ~ spl0_16 ),
inference(rat,[],[s87,s12,s82,s62,s85,s165,s157,s149]) ).
cnf(s169,plain,
~ spl0_11,
inference(rat,[],[s168,s33]) ).
cnf(s170,plain,
~ spl0_14,
inference(rat,[],[s144,s156,s169]) ).
cnf(s171,plain,
spl0_20,
inference(rat,[],[s146,s157,s163,s169]) ).
cnf(s172,plain,
~ spl0_8,
inference(rat,[],[s15,s157,s163,s169]) ).
cnf(s173,plain,
spl0_18,
inference(rat,[],[s81,s156,s171]) ).
cnf(s174,plain,
spl0_9,
inference(rat,[],[s12,s172]) ).
cnf(s175,plain,
~ spl0_7,
inference(rat,[],[s116,s170,s173]) ).
cnf(s176,plain,
spl0_19,
inference(rat,[],[s114,s175,s174]) ).
cnf(s178,plain,
spl0_15,
inference(rat,[],[s19,s149,s175]) ).
cnf(s179,plain,
$false,
inference(rat,[],[s148,s157,s171,s178,s176]) ).
fof(f1551,plain,
$false,
inference(avatar_sat_refutation,[],[s179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV555-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n026.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 11:47:57 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/0.97 % (3803593)Input is clausal, will run a generic CNF schedule.
% 0.83/0.97 % (3803601)lrs+10_1_sil=8000:sp=occurrence:random_seed=4149994369:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.83/0.97 % (3803601)First to succeed.
% 0.83/0.97 % (3803601)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3803593"
% 0.83/0.97 % (3803602)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=571442630:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.83/0.97 % (3803603)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1668761824:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.83/0.97 % (3803604)dis-21_1_sil=8000:lcm=predicate:random_seed=586870317:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.83/0.97 % (3803599)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1071341290:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.83/0.97 % (3803598)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3862119146:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.83/0.97 % (3803600)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2595977449:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.83/0.97 % (3803604)Refutation not found, incomplete strategy
% 0.83/0.97 % (3803604)------------------------------
% 0.83/0.97 % (3803604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.83/0.97 % (3803604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.97 % (3803604)CaDiCaL version: 2.1.3
% 0.83/0.97 % (3803604)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.97 % (3803604)Time elapsed: 0.001 s
% 0.83/0.97 % (3803604)Peak memory usage: 88 MB
% 0.83/0.97 % (3803604)Instructions burned: 1 (million)
% 0.83/0.97 % (3803603)Also succeeded, but the first one will report.
% 0.83/0.97 % (3803602)Instruction limit reached!
% 0.83/0.97 % (3803602)------------------------------
% 0.83/0.97 % (3803602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.83/0.97 % (3803602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.97 % (3803602)CaDiCaL version: 2.1.3
% 0.83/0.97 % (3803602)Termination reason: Instruction limit
% 0.83/0.97 % (3803602)Termination phase: Saturation
% 0.83/0.97 % (3803602)Time elapsed: 0.064 s
% 0.83/0.97 % (3803602)Peak memory usage: 89 MB
% 0.83/0.97 % (3803602)Instructions burned: 114 (million)
% 0.83/0.97 % (3803601)Refutation found. Thanks to Tanya!
% 0.83/0.97 % SZS status Unsatisfiable for theBenchmark
% 0.83/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.18 % (3803601)------------------------------
% 2.68/1.18 % (3803601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.18 % (3803601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.18 % (3803601)CaDiCaL version: 2.1.3
% 2.68/1.18 % (3803601)Termination reason: Refutation
% 2.68/1.18 % (3803601)Time elapsed: 0.018 s
% 2.68/1.18 % (3803601)Peak memory usage: 90 MB
% 2.68/1.18 % (3803601)Instructions burned: 54 (million)
% 2.68/1.18 % (3803601)------------------------------
% 2.68/1.18 % (3803601)------------------------------
% 2.68/1.18 % (3803593)Success in time 0.291 s
% 2.68/1.18 % Vampire exiting
%------------------------------------------------------------------------------