%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n002.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 01:25:35 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.27s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 44
% Syntax : Number of formulae : 335 ( 47 unt; 22 def)
% Number of atoms : 938 ( 313 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1042 ( 439 ~; 581 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 25 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 35 !; 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,
! [X0] :
( select(a1,X0) = select(a_20,X0)
| i1 = X0 ),
inference(superposition,[],[f2,f3]) ).
fof(f34,plain,
! [X0] :
( select(a2,X0) = select(a_22,X0)
| i1 = X0 ),
inference(superposition,[],[f2,f4]) ).
fof(f35,plain,
! [X0] :
( select(a_20,X0) = select(a_24,X0)
| i2 = X0 ),
inference(superposition,[],[f2,f5]) ).
fof(f36,plain,
! [X0] :
( select(a_22,X0) = select(a_26,X0)
| i2 = X0 ),
inference(superposition,[],[f2,f6]) ).
fof(f37,plain,
! [X0] :
( select(a_24,X0) = select(a_28,X0)
| i3 = X0 ),
inference(superposition,[],[f2,f7]) ).
fof(f38,plain,
! [X0] :
( select(a_26,X0) = select(a_30,X0)
| i3 = X0 ),
inference(superposition,[],[f2,f8]) ).
fof(f39,plain,
! [X0] :
( select(a_30,X0) = select(a_34,X0)
| i4 = X0 ),
inference(superposition,[],[f2,f10]) ).
fof(f40,plain,
! [X0] :
( select(a_28,X0) = select(a_34,X0)
| i4 = X0 ),
inference(superposition,[],[f2,f24]) ).
fof(f41,plain,
e_31 = e_33,
inference(superposition,[],[f32,f31]) ).
fof(f44,plain,
( e_36 = select(a_20,i_35)
| i1 = i_35 ),
inference(superposition,[],[f33,f19]) ).
fof(f47,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,[],[f47]) ).
fof(f51,definition,
( spl0_2
<=> e_36 = select(a_20,i_35) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f53,plain,
( e_36 = select(a_20,i_35)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f44,f51,f47]) ).
fof(f56,plain,
( e_37 = select(a_22,i_35)
| i1 = i_35 ),
inference(superposition,[],[f34,f20]) ).
fof(f59,definition,
( spl0_3
<=> e_37 = select(a_22,i_35) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f61,plain,
( e_37 = select(a_22,i_35)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f56,f59,f47]) ).
fof(f64,plain,
( select(a2,i1) = e_37
| ~ spl0_1 ),
inference(superposition,[],[f20,f49]) ).
fof(f65,plain,
( select(a1,i1) = e_36
| ~ spl0_1 ),
inference(superposition,[],[f19,f49]) ).
fof(f66,plain,
( e_21 = e_36
| ~ spl0_1 ),
inference(forward_demodulation,[],[f65,f12]) ).
fof(f67,plain,
( e_19 = e_37
| ~ spl0_1 ),
inference(forward_demodulation,[],[f64,f11]) ).
fof(f68,plain,
( e_29 = select(a_20,i3)
| i2 = i3 ),
inference(superposition,[],[f35,f16]) ).
fof(f71,definition,
( spl0_4
<=> i2 = i3 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f72,plain,
( i2 != i3
| spl0_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( i2 = i3
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl0_5
<=> e_29 = select(a_20,i3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f76,plain,
( e_29 != select(a_20,i3)
| spl0_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( e_29 = select(a_20,i3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f68,f75,f71]) ).
fof(f82,plain,
( e_27 = select(a_26,i2)
| ~ spl0_4 ),
inference(superposition,[],[f15,f73]) ).
fof(f83,plain,
( e_29 = select(a_24,i2)
| ~ spl0_4 ),
inference(superposition,[],[f16,f73]) ).
fof(f86,plain,
( e_23 = e_29
| ~ spl0_4 ),
inference(forward_demodulation,[],[f83,f27]) ).
fof(f87,plain,
( e_25 = e_27
| ~ spl0_4 ),
inference(forward_demodulation,[],[f82,f28]) ).
fof(f88,plain,
( e_27 = select(a_22,i3)
| i2 = i3 ),
inference(superposition,[],[f36,f15]) ).
fof(f90,plain,
( ! [X0] :
( select(a_24,X0) = select(a_28,X0)
| i2 = X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f37,f73]) ).
fof(f91,plain,
( e_19 != e_36
| ~ spl0_1 ),
inference(superposition,[],[f23,f67]) ).
fof(f92,plain,
( e_19 != e_21
| ~ spl0_1 ),
inference(forward_demodulation,[],[f91,f66]) ).
fof(f97,plain,
! [X0] :
( select(a_28,X0) = select(a_30,X0)
| i4 = X0
| i4 = X0 ),
inference(superposition,[],[f39,f40]) ).
fof(f98,plain,
! [X0] :
( select(a_28,X0) = select(a_30,X0)
| i4 = X0 ),
inference(duplicate_literal_removal,[],[f97]) ).
fof(f103,plain,
( e_33 = select(a_24,i4)
| i2 = i4
| ~ spl0_4 ),
inference(superposition,[],[f90,f18]) ).
fof(f107,plain,
( e_31 = select(a_24,i4)
| i2 = i4
| ~ spl0_4 ),
inference(forward_demodulation,[],[f103,f41]) ).
fof(f109,definition,
( spl0_6
<=> i2 = i4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f110,plain,
( i2 != i4
| spl0_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f111,plain,
( i2 = i4
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f113,definition,
( spl0_7
<=> e_31 = select(a_24,i4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f115,plain,
( e_31 = select(a_24,i4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,plain,
( spl0_6
| spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f107,f71,f113,f109]) ).
fof(f119,definition,
( spl0_8
<=> e_27 = select(a_22,i3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f120,plain,
( e_27 != select(a_22,i3)
| spl0_8 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f121,plain,
( e_27 = select(a_22,i3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f123,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f88,f119,f71]) ).
fof(f132,plain,
( ! [X0] :
( select(a_24,X0) = select(a_28,X0)
| i2 = X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f37,f73]) ).
fof(f142,plain,
( ! [X0] :
( select(a_26,X0) = select(a_30,X0)
| i2 = X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f38,f73]) ).
fof(f163,plain,
( e_29 = select(a_20,i2)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f77,f73]) ).
fof(f164,plain,
( e_25 = e_29
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f163,f14]) ).
fof(f165,plain,
( e_23 = e_25
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f164,f86]) ).
fof(f167,plain,
( ! [X0] :
( select(a_28,X0) = select(a_30,X0)
| i2 = X0 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f98,f111]) ).
fof(f173,plain,
( e_29 = select(a_28,i3)
| i2 = i3
| ~ spl0_6 ),
inference(superposition,[],[f167,f30]) ).
fof(f175,plain,
( ! [X0] :
( select(a_26,X0) = select(a_28,X0)
| i2 = X0
| i2 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f142,f167]) ).
fof(f178,plain,
( ! [X0] :
( select(a_26,X0) = select(a_28,X0)
| i2 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f210,plain,
( ! [X0] :
( select(a_24,X0) = select(a_26,X0)
| i2 = X0
| i2 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f132,f178]) ).
fof(f213,plain,
( ! [X0] :
( select(a_24,X0) = select(a_26,X0)
| i2 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f234,plain,
( ! [X0] :
( select(a_22,X0) = select(a_24,X0)
| i2 = X0
| i2 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f36,f213]) ).
fof(f236,plain,
( ! [X0] :
( select(a_22,X0) = select(a_24,X0)
| i2 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f240,plain,
( ! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i2 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f35,f236]) ).
fof(f242,plain,
( ! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f244,plain,
( e_21 = select(a_20,i1)
| i1 = i2
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f242,f26]) ).
fof(f247,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f61,f242]) ).
fof(f248,plain,
( e_36 = e_37
| i2 = i_35
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f247,f53]) ).
fof(f251,plain,
( e_19 = e_21
| i1 = i2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f244,f25]) ).
fof(f252,plain,
( i2 = i_35
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f248,f23]) ).
fof(f254,definition,
( spl0_9
<=> i1 = i2 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f256,plain,
( i1 = i2
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,definition,
( spl0_10
<=> e_19 = e_21 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f259,plain,
( e_19 != e_21
| spl0_10 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f263,plain,
( spl0_9
| spl0_10
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f251,f109,f71,f258,f254]) ).
fof(f265,plain,
( e_27 = e_29
| i2 = i3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f173,f29]) ).
fof(f268,definition,
( spl0_11
<=> e_27 = e_29 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f270,plain,
( e_27 = e_29
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,plain,
( spl0_4
| spl0_11
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f265,f109,f268,f71]) ).
fof(f274,plain,
( e_33 = select(a_24,i4)
| i3 = i4 ),
inference(superposition,[],[f37,f18]) ).
fof(f283,definition,
( spl0_12
<=> e_23 = e_31 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f285,plain,
( e_23 = e_31
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f295,plain,
( select(a_22,i2) = e_37
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f61,f252]) ).
fof(f296,plain,
( select(a_20,i2) = e_36
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f53,f252]) ).
fof(f301,plain,
( e_25 = e_36
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f296,f14]) ).
fof(f302,plain,
( e_23 = e_37
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f295,f13]) ).
fof(f305,plain,
( e_31 = select(a_26,i4)
| i3 = i4 ),
inference(superposition,[],[f38,f17]) ).
fof(f315,definition,
( spl0_13
<=> e_25 = e_31 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f317,plain,
( e_25 = e_31
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f334,plain,
( e_23 != e_36
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f23,f302]) ).
fof(f335,plain,
( e_23 != e_25
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f334,f301]) ).
fof(f336,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f335,f165]) ).
fof(f337,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f339,plain,
( e_31 = select(a_24,i4)
| i3 = i4 ),
inference(forward_demodulation,[],[f274,f41]) ).
fof(f341,definition,
( spl0_14
<=> i3 = i4 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f342,plain,
( i3 != i4
| spl0_14 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f343,plain,
( i3 = i4
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f345,definition,
( spl0_15
<=> e_31 = select(a_26,i4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f347,plain,
( e_31 = select(a_26,i4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f349,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f305,f345,f341]) ).
fof(f351,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f339,f113,f341]) ).
fof(f353,plain,
( e_31 = select(a_30,i3)
| ~ spl0_14 ),
inference(superposition,[],[f17,f343]) ).
fof(f354,plain,
( e_33 = select(a_28,i3)
| ~ spl0_14 ),
inference(superposition,[],[f18,f343]) ).
fof(f360,plain,
( e_27 = e_33
| ~ spl0_14 ),
inference(forward_demodulation,[],[f354,f29]) ).
fof(f361,plain,
( e_29 = e_31
| ~ spl0_14 ),
inference(forward_demodulation,[],[f353,f30]) ).
fof(f363,plain,
( e_27 = e_31
| ~ spl0_14 ),
inference(superposition,[],[f360,f41]) ).
fof(f370,plain,
( e_27 = e_29
| ~ spl0_14 ),
inference(superposition,[],[f361,f363]) ).
fof(f373,plain,
( spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f370,f341,f268]) ).
fof(f375,plain,
( e_31 = select(a_20,i4)
| i2 = i4
| ~ spl0_7 ),
inference(superposition,[],[f35,f115]) ).
fof(f376,plain,
( e_31 = select(a_20,i4)
| spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f375,f110]) ).
fof(f380,plain,
( e_31 = select(a_22,i4)
| i2 = i4
| ~ spl0_15 ),
inference(superposition,[],[f36,f347]) ).
fof(f381,plain,
( e_31 = select(a_22,i4)
| spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f380,f110]) ).
fof(f383,plain,
! [X0] :
( select(a_26,X0) = select(a_28,X0)
| i4 = X0
| i3 = X0 ),
inference(superposition,[],[f98,f38]) ).
fof(f386,plain,
( e_29 = select(a_28,i3)
| i3 = i4 ),
inference(superposition,[],[f30,f98]) ).
fof(f387,plain,
( e_29 = select(a_28,i3)
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f386,f342]) ).
fof(f389,plain,
( e_27 = e_29
| spl0_14 ),
inference(forward_demodulation,[],[f387,f29]) ).
fof(f391,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f389,f341,f268]) ).
fof(f398,plain,
! [X0] :
( select(a_24,X0) = select(a_26,X0)
| i3 = X0
| i4 = X0
| i3 = X0 ),
inference(superposition,[],[f37,f383]) ).
fof(f399,plain,
! [X0] :
( select(a_24,X0) = select(a_26,X0)
| i3 = X0
| i4 = X0 ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f403,plain,
! [X0] :
( select(a_22,X0) = select(a_24,X0)
| i3 = X0
| i4 = X0
| i2 = X0 ),
inference(superposition,[],[f399,f36]) ).
fof(f406,plain,
( e_25 = select(a_24,i2)
| i2 = i3
| i2 = i4 ),
inference(superposition,[],[f28,f399]) ).
fof(f407,plain,
( e_25 = select(a_24,i2)
| i2 = i4
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f406,f72]) ).
fof(f409,plain,
( e_25 = select(a_24,i2)
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f407,f110]) ).
fof(f411,plain,
( e_23 = e_25
| spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f409,f27]) ).
fof(f415,plain,
! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i3 = X0
| i4 = X0
| i2 = X0 ),
inference(superposition,[],[f35,f403]) ).
fof(f416,plain,
! [X0] :
( select(a_20,X0) = select(a_22,X0)
| i2 = X0
| i3 = X0
| i4 = X0 ),
inference(duplicate_literal_removal,[],[f415]) ).
fof(f420,plain,
( e_21 = select(a_20,i1)
| i1 = i2
| i1 = i3
| i1 = i4 ),
inference(superposition,[],[f416,f26]) ).
fof(f421,plain,
( e_37 = select(a_20,i_35)
| i2 = i_35
| i3 = i_35
| i4 = i_35
| ~ spl0_3 ),
inference(superposition,[],[f416,f61]) ).
fof(f426,plain,
( e_36 = e_37
| i2 = i_35
| i3 = i_35
| i4 = i_35
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f421,f53]) ).
fof(f430,plain,
( i2 = i_35
| i3 = i_35
| i4 = i_35
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f426,f23]) ).
fof(f433,definition,
( spl0_16
<=> i4 = i_35 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f435,plain,
( i4 = i_35
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f437,definition,
( spl0_17
<=> i3 = i_35 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f438,plain,
( i3 != i_35
| spl0_17 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f439,plain,
( i3 = i_35
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f441,definition,
( spl0_18
<=> i2 = i_35 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f443,plain,
( i2 = i_35
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f445,plain,
( spl0_16
| spl0_17
| spl0_18
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f430,f59,f51,f441,f437,f433]) ).
fof(f446,plain,
( e_37 = select(a_22,i4)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f61,f435]) ).
fof(f447,plain,
( e_36 = select(a_20,i4)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f53,f435]) ).
fof(f451,plain,
( e_31 = e_36
| ~ spl0_2
| spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f447,f376]) ).
fof(f452,plain,
( e_31 = e_37
| ~ spl0_3
| spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f446,f381]) ).
fof(f453,plain,
( e_31 != e_36
| ~ spl0_3
| spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f23,f452]) ).
fof(f454,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f453,f451]) ).
fof(f455,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f459,plain,
( e_36 = select(a_20,i3)
| ~ spl0_2
| ~ spl0_17 ),
inference(superposition,[],[f53,f439]) ).
fof(f460,plain,
( e_37 = select(a_22,i3)
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f61,f439]) ).
fof(f462,plain,
( e_27 = e_37
| ~ spl0_3
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f460,f121]) ).
fof(f463,plain,
( e_29 = e_36
| ~ spl0_2
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f459,f77]) ).
fof(f464,plain,
( e_27 = e_36
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f463,f270]) ).
fof(f465,plain,
( e_27 != e_36
| ~ spl0_3
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f23,f462]) ).
fof(f467,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f465,f464]) ).
fof(f468,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f472,plain,
( select(a_20,i2) = e_36
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f53,f443]) ).
fof(f473,plain,
( select(a_22,i2) = e_37
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f61,f443]) ).
fof(f476,plain,
( e_23 = e_37
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f473,f13]) ).
fof(f477,plain,
( e_25 = e_36
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f472,f14]) ).
fof(f478,plain,
( e_23 = e_36
| ~ spl0_2
| spl0_4
| spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f477,f411]) ).
fof(f479,plain,
( e_23 != e_36
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f23,f476]) ).
fof(f481,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f479,f478]) ).
fof(f482,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f491,definition,
( spl0_19
<=> e_23 = e_25 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f493,plain,
( e_23 = e_25
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f509,plain,
( i2 = i_35
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f439,f73]) ).
fof(f510,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f509,f437,f71,f441]) ).
fof(f511,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f165,f75,f71,f491]) ).
fof(f520,plain,
( e_27 != select(a_22,i2)
| ~ spl0_4
| spl0_8 ),
inference(forward_demodulation,[],[f120,f73]) ).
fof(f521,plain,
( e_23 != e_27
| ~ spl0_4
| spl0_8 ),
inference(forward_demodulation,[],[f520,f13]) ).
fof(f523,plain,
( e_23 = e_27
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f86,f270]) ).
fof(f529,plain,
( $false
| ~ spl0_4
| spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f523,f521]) ).
fof(f530,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f531,plain,
( e_27 = select(a_22,i2)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f121,f73]) ).
fof(f535,plain,
( e_23 = e_27
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f531,f13]) ).
fof(f538,plain,
( i2 = i4
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f343,f73]) ).
fof(f546,plain,
( $false
| ~ spl0_4
| spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f538,f110]) ).
fof(f547,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f549,plain,
( e_29 != select(a_20,i2)
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f76,f73]) ).
fof(f556,plain,
( e_25 != e_29
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f549,f14]) ).
fof(f559,plain,
( e_25 != e_27
| ~ spl0_4
| spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f556,f270]) ).
fof(f572,plain,
( e_23 != e_25
| ~ spl0_4
| spl0_5
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f559,f535]) ).
fof(f573,plain,
( ~ spl0_19
| ~ spl0_4
| spl0_5
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f572,f268,f119,f75,f71,f491]) ).
fof(f580,plain,
( e_23 = e_25
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f87,f535]) ).
fof(f581,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f580,f119,f71,f491]) ).
fof(f582,plain,
( e_27 = select(a_20,i3)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f77,f270]) ).
fof(f605,plain,
( e_31 = select(a_30,i2)
| ~ spl0_6 ),
inference(superposition,[],[f17,f111]) ).
fof(f606,plain,
( e_33 = select(a_28,i2)
| ~ spl0_6 ),
inference(superposition,[],[f18,f111]) ).
fof(f617,plain,
( e_31 = select(a_28,i2)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f606,f41]) ).
fof(f625,plain,
( e_31 = select(a_26,i2)
| i2 = i3
| ~ spl0_6 ),
inference(superposition,[],[f38,f605]) ).
fof(f626,plain,
( e_31 = select(a_26,i2)
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f625,f72]) ).
fof(f628,plain,
( e_25 = e_31
| spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f626,f28]) ).
fof(f630,plain,
( spl0_13
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f628,f109,f71,f315]) ).
fof(f631,plain,
( e_23 != e_25
| ~ spl0_2
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f479,f477]) ).
fof(f632,plain,
( ~ spl0_19
| ~ spl0_2
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f631,f441,f59,f51,f491]) ).
fof(f643,plain,
( e_31 = select(a_24,i2)
| i2 = i3
| ~ spl0_6 ),
inference(superposition,[],[f37,f617]) ).
fof(f644,plain,
( e_31 = select(a_24,i2)
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f643,f72]) ).
fof(f646,plain,
( e_23 = e_31
| spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f644,f27]) ).
fof(f648,plain,
( spl0_12
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f646,f109,f71,f283]) ).
fof(f664,plain,
( e_23 = e_25
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f317,f285]) ).
fof(f665,plain,
( spl0_19
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f664,f315,f283,f491]) ).
fof(f666,plain,
( i2 = i_35
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f435,f111]) ).
fof(f669,plain,
( spl0_18
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f666,f433,f109,f441]) ).
fof(f673,plain,
( spl0_19
| spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f411,f109,f71,f491]) ).
fof(f686,plain,
( i3 != i4
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f438,f435]) ).
fof(f687,plain,
( ~ spl0_14
| ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f686,f437,f433,f341]) ).
fof(f694,definition,
( spl0_22
<=> i1 = i4 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f696,plain,
( i1 = i4
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f698,definition,
( spl0_23
<=> i1 = i3 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f700,plain,
( i1 = i3
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f703,plain,
( ~ spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f92,f47,f258]) ).
fof(f889,plain,
( i1 = i3
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f343,f696]) ).
fof(f892,plain,
( spl0_23
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f889,f694,f341,f698]) ).
fof(f922,plain,
( e_27 = select(a_22,i1)
| ~ spl0_8
| ~ spl0_23 ),
inference(superposition,[],[f121,f700]) ).
fof(f924,plain,
( e_27 = select(a_20,i1)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_23 ),
inference(superposition,[],[f582,f700]) ).
fof(f934,plain,
( e_19 = e_27
| ~ spl0_5
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_demodulation,[],[f924,f25]) ).
fof(f936,plain,
( e_21 = e_27
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f922,f26]) ).
fof(f953,plain,
( e_31 = select(a_20,i1)
| spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_demodulation,[],[f376,f696]) ).
fof(f956,plain,
( e_31 = select(a_22,i1)
| spl0_6
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f381,f696]) ).
fof(f982,plain,
( e_19 = e_31
| spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_demodulation,[],[f953,f25]) ).
fof(f985,plain,
( e_21 = e_31
| spl0_6
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f956,f26]) ).
fof(f1026,plain,
( e_19 = e_21
| spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f985,f982]) ).
fof(f1027,plain,
( $false
| spl0_6
| ~ spl0_7
| spl0_10
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1026,f259]) ).
fof(f1028,plain,
( spl0_6
| ~ spl0_7
| spl0_10
| ~ spl0_15
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1027]) ).
fof(f1029,plain,
( i1 = i2
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f111,f696]) ).
fof(f1043,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1029,f694,f109,f254]) ).
fof(f1048,definition,
( spl0_24
<=> e_21 = e_23 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f1050,plain,
( e_21 = e_23
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1079,plain,
( e_23 = select(a_22,i1)
| ~ spl0_9 ),
inference(superposition,[],[f13,f256]) ).
fof(f1080,plain,
( e_25 = select(a_20,i1)
| ~ spl0_9 ),
inference(superposition,[],[f14,f256]) ).
fof(f1086,plain,
( e_19 = e_25
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1080,f25]) ).
fof(f1087,plain,
( e_21 = e_23
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1079,f26]) ).
fof(f1095,plain,
( spl0_24
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1087,f254,f1048]) ).
fof(f1123,plain,
( e_19 = e_23
| ~ spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f1086,f493]) ).
fof(f1127,plain,
( e_19 = e_21
| ~ spl0_9
| ~ spl0_19
| ~ spl0_24 ),
inference(superposition,[],[f1123,f1050]) ).
fof(f1133,plain,
( $false
| ~ spl0_9
| spl0_10
| ~ spl0_19
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1127,f259]) ).
fof(f1134,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_19
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1144,plain,
( e_19 = e_21
| i1 = i2
| i1 = i3
| i1 = i4 ),
inference(forward_demodulation,[],[f420,f25]) ).
fof(f1154,plain,
( i1 = i2
| i1 = i3
| i1 = i4
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f1144,f259]) ).
fof(f1162,plain,
( spl0_22
| spl0_23
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f1154,f258,f254,f698,f694]) ).
fof(f1201,plain,
( e_19 = e_21
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_demodulation,[],[f936,f934]) ).
fof(f1202,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1201,f259]) ).
fof(f1203,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_11
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1202]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s4,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f63]) ).
cnf(s6,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
( ~ spl0_4
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f117]) ).
cnf(s10,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f123]) ).
cnf(s14,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f263]) ).
cnf(s16,plain,
( spl0_4
| ~ spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f272]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f337]) ).
cnf(s28,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f349]) ).
cnf(s30,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f351]) ).
cnf(s31,plain,
( spl0_11
| ~ spl0_14 ),
inference(sat_conversion,[],[f373]) ).
cnf(s33,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f391]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_16
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f445]) ).
cnf(s37,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f455]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f468]) ).
cnf(s39,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_18 ),
inference(sat_conversion,[],[f482]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f510]) ).
cnf(s43,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_19 ),
inference(sat_conversion,[],[f511]) ).
cnf(s45,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f530]) ).
cnf(s49,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f547]) ).
cnf(s53,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f573]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f581]) ).
cnf(s70,plain,
( spl0_4
| ~ spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f630]) ).
cnf(s72,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f632]) ).
cnf(s74,plain,
( spl0_4
| ~ spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f648]) ).
cnf(s76,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f665]) ).
cnf(s77,plain,
( ~ spl0_6
| ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f669]) ).
cnf(s78,plain,
( spl0_4
| spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f673]) ).
cnf(s79,plain,
( ~ spl0_14
| ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f687]) ).
cnf(s83,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(sat_conversion,[],[f703]) ).
cnf(s101,plain,
( ~ spl0_14
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f892]) ).
cnf(s111,plain,
( spl0_6
| ~ spl0_7
| spl0_10
| ~ spl0_15
| ~ spl0_22 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s116,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_22 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s125,plain,
( ~ spl0_9
| spl0_24 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s129,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_19
| ~ spl0_24 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s135,plain,
( spl0_9
| spl0_10
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s143,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_11
| ~ spl0_23 ),
inference(sat_conversion,[],[f1203]) ).
cnf(s144,plain,
( ~ spl0_14
| spl0_18
| spl0_4
| spl0_1 ),
inference(rat,[],[s79,s36,s38,s31,s4,s2,s10,s6]) ).
cnf(s145,plain,
( spl0_6
| spl0_4
| spl0_1 ),
inference(rat,[],[s36,s37,s38,s28,s30,s33,s144,s39,s4,s2,s10,s6]) ).
cnf(s146,plain,
( spl0_4
| spl0_1 ),
inference(rat,[],[s77,s36,s72,s38,s76,s16,s70,s74,s145,s6,s10,s4,s2]) ).
cnf(s147,plain,
( ~ spl0_5
| spl0_1 ),
inference(rat,[],[s37,s36,s28,s42,s8,s49,s72,s26,s43,s4,s2,s146]) ).
cnf(s148,plain,
( ~ spl0_11
| spl0_1 ),
inference(rat,[],[s53,s54,s45,s146,s147]) ).
cnf(s149,plain,
spl0_11,
inference(rat,[],[s31,s33]) ).
cnf(s150,plain,
spl0_1,
inference(rat,[],[s148,s149]) ).
cnf(s151,plain,
~ spl0_10,
inference(rat,[],[s83,s150]) ).
cnf(s154,plain,
( ~ spl0_9
| ~ spl0_19 ),
inference(rat,[],[s125,s129,s151]) ).
cnf(s155,plain,
( spl0_6
| spl0_4 ),
inference(rat,[],[s111,s28,s30,s101,s135,s154,s78,s143,s6,s10,s151,s149]) ).
cnf(s156,plain,
spl0_4,
inference(rat,[],[s135,s116,s154,s76,s70,s74,s155,s143,s6,s10,s151,s149]) ).
cnf(s157,plain,
spl0_8,
inference(rat,[],[s45,s149,s156]) ).
cnf(s158,plain,
spl0_19,
inference(rat,[],[s54,s156,s157]) ).
cnf(s159,plain,
spl0_5,
inference(rat,[],[s53,s149,s156,s157,s158]) ).
cnf(s160,plain,
~ spl0_9,
inference(rat,[],[s154,s158]) ).
cnf(s161,plain,
~ spl0_23,
inference(rat,[],[s143,s157,s151,s149,s159]) ).
cnf(s162,plain,
~ spl0_6,
inference(rat,[],[s14,s151,s156,s160]) ).
cnf(s164,plain,
spl0_22,
inference(rat,[],[s135,s161,s151,s160]) ).
cnf(s166,plain,
~ spl0_14,
inference(rat,[],[s49,s156,s162]) ).
cnf(s167,plain,
spl0_7,
inference(rat,[],[s8,s156,s162]) ).
cnf(s169,plain,
spl0_15,
inference(rat,[],[s28,s166]) ).
cnf(s171,plain,
$false,
inference(rat,[],[s111,s151,s164,s162,s169,s167]) ).
fof(f1204,plain,
$false,
inference(avatar_sat_refutation,[],[s171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV555-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n002.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 11:48:22 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.27 % (306275)Will run a generic schedule for satisfiability detection.
% 0.37/0.27 % (306282)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=283045244:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.27 % (306281)% WARNING: option uhcvi not known.
% 0.37/0.27 % (306280)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=707034582_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.27 % (306286)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3033356158:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.27 % (306283)dis+10_1_sil=32000:sp=arity:random_seed=3663321135:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.27 % (306284)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1742461858:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.27 % (306285)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2208481873:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.27 % (306281)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2799189471:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.27 % TRYING [1]
% 0.37/0.27 % TRYING [2]
% 0.37/0.27 % TRYING [3]
% 0.37/0.27 % TRYING [4]
% 0.37/0.27 % TRYING [5]
% 0.37/0.27 % (306283) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-306275-306283"...
% 0.37/0.27 % TRYING [6]
% 0.37/0.27 % (306283)...printing done.
% 0.37/0.27 % (306283)Refutation found. Thanks to Tanya!
% 0.37/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.28 % (306283)------------------------------
% 0.37/0.28 % (306283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (306283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (306283)CaDiCaL version: 2.1.3
% 0.37/0.28 % (306283)Termination reason: Refutation
% 0.37/0.28 % (306283)Time elapsed: 0.030 s
% 0.37/0.28 % (306283)Peak memory usage: 12 MB
% 0.37/0.28 % (306283)Instructions burned: 49 (million)
% 0.37/0.28 % (306275)Success in time 0.073 s
% 0.37/0.28 % Vampire exiting
%------------------------------------------------------------------------------