%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV007-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:20:10 AM UTC 2026
% Result : Unsatisfiable 3.28s 1.39s
% Output : Refutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 98
% Syntax : Number of formulae : 383 ( 76 unt; 53 def)
% Number of atoms : 834 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 886 ( 435 ~; 398 |; 0 &)
% ( 53 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 59 ( 58 usr; 54 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ connection(X0,X1)
| ~ value(X0,X2)
| value(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation1) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ connection(X0,X1)
| ~ value(X1,X2)
| value(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_value) ).
fof(f4,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_value1) ).
fof(f7,axiom,
! [X0,X1] :
( mode(X0,abnormal)
| mode(X0,ok)
| ~ type(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ok_or_abnormal) ).
fof(f9,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(in(n1,X0),n1)
| ~ value(in(n2,X0),n1)
| value(out(n1,X0),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_11_1) ).
fof(f11,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(out(n1,X0),n1)
| value(in(n1,X0),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_1x) ).
fof(f12,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(out(n1,X0),n1)
| value(in(n2,X0),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_x1) ).
fof(f15,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,or)
| ~ value(out(n1,X0),n1)
| value(in(n1,X0),n1)
| value(in(n2,X0),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1_11) ).
fof(f17,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,or)
| ~ value(out(n1,X0),n0)
| value(in(n2,X0),n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_0_01) ).
fof(f21,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,not)
| ~ value(out(n1,X0),n1)
| value(in(n1,X0),n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_1_0_bw) ).
fof(f22,axiom,
! [X0] :
( type(and1(X0),and)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and1) ).
fof(f23,axiom,
! [X0] :
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and2) ).
fof(f24,axiom,
! [X0] :
( type(not1(X0),not)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_not1) ).
fof(f25,axiom,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_or1) ).
fof(f26,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,or1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).
fof(f27,axiom,
! [X0] :
( connection(in(n2,X0),in(n2,or1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).
fof(f28,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
fof(f29,axiom,
! [X0] :
( connection(in(n2,X0),in(n2,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).
fof(f30,axiom,
! [X0] :
( connection(out(s,X0),out(n1,and1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
fof(f31,axiom,
! [X0] :
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f32,axiom,
! [X0] :
( connection(out(n1,or1(X0)),in(n1,and1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
fof(f33,axiom,
! [X0] :
( connection(out(n1,and2(X0)),in(n1,not1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
fof(f34,axiom,
! [X0] :
( connection(out(n1,not1(X0)),in(n2,and1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
fof(f35,axiom,
! [X0] :
( type(h1(X0),halfadder)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder1) ).
fof(f36,axiom,
! [X0] :
( type(h2(X0),halfadder)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder2) ).
fof(f37,axiom,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_or1) ).
fof(f38,axiom,
! [X0] :
( connection(out(s,h1(X0)),in(n2,h2(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).
fof(f39,axiom,
! [X0] :
( connection(out(c,h1(X0)),in(n2,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).
fof(f41,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,h2(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
fof(f42,axiom,
! [X0] :
( connection(in(n2,X0),in(n1,h1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
fof(f43,axiom,
! [X0] :
( connection(in(c,X0),in(n2,h1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).
fof(f44,axiom,
! [X0] :
( connection(out(s,X0),out(s,h2(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).
fof(f45,axiom,
! [X0] :
( connection(out(c,X0),out(n1,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
fof(f46,axiom,
type(f,fulladder),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).
fof(f47,axiom,
value(in(n1,f),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
fof(f48,axiom,
value(in(n2,f),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).
fof(f49,axiom,
value(in(c,f),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).
fof(f50,axiom,
value(out(s,f),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).
fof(f51,axiom,
value(out(c,f),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
fof(f52,negated_conjecture,
~ mode(and2(h1(f)),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).
fof(f53,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h1(f)),abnormal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h1) ).
fof(f54,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(not1(h1(f)),abnormal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h1) ).
fof(f55,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h2(f)),abnormal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
fof(f56,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(or1(h2(f)),abnormal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_or1h2) ).
fof(f58,definition,
( spl0_1
<=> mode(or1(h2(f)),abnormal) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f59,plain,
( ~ mode(or1(h2(f)),abnormal)
| spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_2
<=> mode(or1(f),abnormal) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f62,plain,
( ~ mode(or1(f),abnormal)
| spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f63,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f56,f61,f58]) ).
fof(f65,definition,
( spl0_3
<=> mode(and1(h2(f)),abnormal) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f66,plain,
( ~ mode(and1(h2(f)),abnormal)
| spl0_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f55,f61,f65]) ).
fof(f69,definition,
( spl0_4
<=> mode(not1(h1(f)),abnormal) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f70,plain,
( ~ mode(not1(h1(f)),abnormal)
| spl0_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f54,f61,f69]) ).
fof(f73,definition,
( spl0_5
<=> mode(and1(h1(f)),abnormal) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f74,plain,
( ~ mode(and1(h1(f)),abnormal)
| spl0_5 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( ~ spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f53,f61,f73]) ).
fof(f76,plain,
! [X0] :
( ~ value(X0,n0)
| ~ value(X0,n1) ),
inference(resolution,[],[f3,f4]) ).
fof(f80,plain,
! [X0] :
( mode(and2(h1(f)),ok)
| ~ type(and2(h1(f)),X0) ),
inference(resolution,[],[f7,f52]) ).
fof(f84,definition,
( spl0_6
<=> ! [X0] : ~ type(or1(f),X0) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f85,plain,
( ! [X0] : ~ type(or1(f),X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_7
<=> mode(or1(f),ok) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f88,plain,
( mode(or1(f),ok)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_8
<=> ! [X0] : ~ type(and2(h1(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f92,plain,
( ! [X0] : ~ type(and2(h1(f)),X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,definition,
( spl0_9
<=> mode(and2(h1(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f95,plain,
( mode(and2(h1(f)),ok)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f80,f94,f91]) ).
fof(f97,plain,
( ~ type(f,fulladder)
| ~ spl0_6 ),
inference(resolution,[],[f85,f37]) ).
fof(f99,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f97,f46]) ).
fof(f100,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f103,definition,
( spl0_10
<=> ! [X0] : ~ type(or1(h2(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f104,plain,
( ! [X0] : ~ type(or1(h2(f)),X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,definition,
( spl0_11
<=> mode(or1(h2(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f107,plain,
( mode(or1(h2(f)),ok)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
( ! [X0] :
( mode(or1(f),ok)
| ~ type(or1(f),X0) )
| spl0_2 ),
inference(resolution,[],[f62,f7]) ).
fof(f110,plain,
( spl0_6
| spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f109,f61,f87,f84]) ).
fof(f113,definition,
( spl0_12
<=> ! [X0] : ~ type(and1(h2(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f114,plain,
( ! [X0] : ~ type(and1(h2(f)),X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,definition,
( spl0_13
<=> mode(and1(h2(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f117,plain,
( mode(and1(h2(f)),ok)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f121,definition,
( spl0_14
<=> ! [X0] : ~ type(not1(h1(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0] : ~ type(not1(h1(f)),X0)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,definition,
( spl0_15
<=> mode(not1(h1(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f125,plain,
( mode(not1(h1(f)),ok)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f129,definition,
( spl0_16
<=> ! [X0] : ~ type(and1(h1(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f130,plain,
( ! [X0] : ~ type(and1(h1(f)),X0)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,definition,
( spl0_17
<=> mode(and1(h1(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f133,plain,
( mode(and1(h1(f)),ok)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( ~ type(h1(f),halfadder)
| ~ spl0_8 ),
inference(resolution,[],[f92,f23]) ).
fof(f136,plain,
( ~ type(f,fulladder)
| ~ spl0_8 ),
inference(resolution,[],[f135,f35]) ).
fof(f137,plain,
( ~ type(h2(f),halfadder)
| ~ spl0_12 ),
inference(resolution,[],[f114,f22]) ).
fof(f138,plain,
( $false
| ~ spl0_8 ),
inference(resolution,[],[f136,f46]) ).
fof(f139,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f140,plain,
( ~ type(f,fulladder)
| ~ spl0_12 ),
inference(resolution,[],[f137,f36]) ).
fof(f141,plain,
( $false
| ~ spl0_12 ),
inference(resolution,[],[f140,f46]) ).
fof(f142,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( ~ value(in(n1,or1(X0)),X1)
| ~ type(X0,halfadder)
| value(in(n1,X0),X1) ),
inference(resolution,[],[f26,f2]) ).
fof(f145,plain,
! [X0,X1] :
( ~ value(in(n2,or1(X0)),X1)
| ~ type(X0,halfadder)
| value(in(n2,X0),X1) ),
inference(resolution,[],[f27,f2]) ).
fof(f148,plain,
! [X0,X1] :
( value(in(n1,and2(X0)),X1)
| ~ value(in(n1,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f28,f1]) ).
fof(f150,plain,
! [X0,X1] :
( value(in(n2,and2(X0)),X1)
| ~ value(in(n2,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f29,f1]) ).
fof(f152,plain,
! [X0,X1] :
( value(out(n1,and1(X0)),X1)
| ~ value(out(s,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f30,f1]) ).
fof(f154,plain,
! [X0,X1] :
( value(out(n1,and2(X0)),X1)
| ~ value(out(c,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f31,f1]) ).
fof(f156,plain,
! [X0,X1] :
( value(in(n1,h2(X0)),X1)
| ~ value(in(n1,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f41,f1]) ).
fof(f158,plain,
! [X0,X1] :
( value(in(n1,h1(X0)),X1)
| ~ value(in(n2,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f42,f1]) ).
fof(f160,plain,
! [X0,X1] :
( value(in(n2,h1(X0)),X1)
| ~ value(in(c,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f43,f1]) ).
fof(f162,plain,
! [X0,X1] :
( value(out(s,h2(X0)),X1)
| ~ value(out(s,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f44,f1]) ).
fof(f164,plain,
! [X0,X1] :
( value(out(n1,or1(X0)),X1)
| ~ value(out(c,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f45,f1]) ).
fof(f165,plain,
! [X0,X1] :
( value(out(n1,or1(X0)),X1)
| ~ value(in(n1,and1(X0)),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f32,f2]) ).
fof(f167,plain,
! [X0,X1] :
( value(out(n1,and2(X0)),X1)
| ~ value(in(n1,not1(X0)),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f33,f2]) ).
fof(f169,plain,
! [X0,X1] :
( value(out(n1,not1(X0)),X1)
| ~ value(in(n2,and1(X0)),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f34,f2]) ).
fof(f171,plain,
! [X0,X1] :
( value(out(s,h1(X0)),X1)
| ~ value(in(n2,h2(X0)),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f38,f2]) ).
fof(f173,plain,
! [X0,X1] :
( value(out(c,h1(X0)),X1)
| ~ value(in(n2,or1(X0)),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f39,f2]) ).
fof(f181,definition,
( spl0_18
<=> value(out(n1,or1(f)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f191,definition,
( spl0_21
<=> value(out(n1,and2(h1(f))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f192,plain,
( value(out(n1,and2(h1(f))),n0)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f197,definition,
( spl0_23
<=> type(and2(h1(f)),and) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f198,plain,
( ~ type(and2(h1(f)),and)
| spl0_23 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f207,definition,
( spl0_26
<=> type(and1(h2(f)),and) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f208,plain,
( ~ type(and1(h2(f)),and)
| spl0_26 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f210,plain,
( ~ type(h1(f),halfadder)
| spl0_23 ),
inference(resolution,[],[f198,f23]) ).
fof(f211,plain,
( ~ type(h2(f),halfadder)
| spl0_26 ),
inference(resolution,[],[f208,f22]) ).
fof(f212,plain,
( ~ type(f,fulladder)
| spl0_23 ),
inference(resolution,[],[f210,f35]) ).
fof(f213,plain,
( ~ type(f,fulladder)
| spl0_26 ),
inference(resolution,[],[f211,f36]) ).
fof(f214,plain,
( $false
| spl0_23 ),
inference(resolution,[],[f212,f46]) ).
fof(f215,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f216,plain,
( ~ value(out(n1,and2(h1(f))),n1)
| ~ spl0_21 ),
inference(resolution,[],[f192,f76]) ).
fof(f220,plain,
( $false
| spl0_26 ),
inference(resolution,[],[f213,f46]) ).
fof(f221,plain,
spl0_26,
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f238,definition,
( spl0_29
<=> type(or1(f),or) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f239,plain,
( ~ type(or1(f),or)
| spl0_29 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl0_30
<=> value(out(n1,and2(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f243,plain,
( value(out(n1,and2(h1(f))),n1)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f251,plain,
( ~ type(f,fulladder)
| spl0_29 ),
inference(resolution,[],[f239,f37]) ).
fof(f253,plain,
( $false
| spl0_29 ),
inference(resolution,[],[f251,f46]) ).
fof(f254,plain,
spl0_29,
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f260,plain,
( ~ value(out(n1,or1(f)),n0)
| spl0_18 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f266,plain,
( ~ type(or1(f),or)
| ~ value(out(n1,or1(f)),n0)
| value(in(n2,or1(f)),n0)
| ~ spl0_7 ),
inference(resolution,[],[f17,f88]) ).
fof(f278,definition,
( spl0_36
<=> type(h1(f),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f279,plain,
( ~ type(h1(f),halfadder)
| spl0_36 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f284,plain,
( ~ type(f,fulladder)
| spl0_36 ),
inference(resolution,[],[f279,f35]) ).
fof(f285,plain,
( $false
| spl0_36 ),
inference(resolution,[],[f284,f46]) ).
fof(f286,plain,
spl0_36,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f303,definition,
( spl0_40
<=> value(in(n1,and2(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f305,plain,
( ~ value(out(n1,and2(h1(f))),n0)
| spl0_21 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f316,definition,
( spl0_41
<=> value(out(c,h1(f)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f322,definition,
( spl0_42
<=> value(in(n2,and2(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f331,plain,
( ~ type(and2(h1(f)),and)
| ~ value(in(n1,and2(h1(f))),n1)
| ~ value(in(n2,and2(h1(f))),n1)
| value(out(n1,and2(h1(f))),n1)
| ~ spl0_9 ),
inference(resolution,[],[f9,f95]) ).
fof(f333,plain,
( ~ value(in(n2,and2(h1(f))),n1)
| spl0_42 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f334,plain,
( ~ value(in(n1,and2(h1(f))),n1)
| spl0_40 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f335,plain,
( spl0_30
| ~ spl0_42
| ~ spl0_40
| ~ spl0_23
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f331,f94,f197,f303,f322,f242]) ).
fof(f336,plain,
( ~ value(in(n1,h1(f)),n1)
| ~ type(h1(f),halfadder)
| spl0_40 ),
inference(resolution,[],[f334,f148]) ).
fof(f338,definition,
( spl0_44
<=> value(in(n1,h1(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f339,plain,
( ~ value(in(n1,h1(f)),n1)
| spl0_44 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( ~ spl0_36
| ~ spl0_44
| spl0_40 ),
inference(avatar_split_clause,[],[f336,f303,f338,f278]) ).
fof(f344,plain,
! [X0] :
( ~ value(out(n1,and2(X0)),n1)
| ~ type(X0,halfadder)
| ~ value(out(c,X0),n0) ),
inference(resolution,[],[f154,f76]) ).
fof(f346,plain,
( ~ value(out(c,h1(f)),n0)
| spl0_41 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f357,definition,
( spl0_46
<=> value(in(n2,or1(f)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f366,definition,
( spl0_48
<=> value(in(n1,f),n0) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f367,plain,
( ~ value(in(n1,f),n0)
| spl0_48 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f370,plain,
! [X0] :
( ~ value(in(n1,h2(X0)),n1)
| ~ type(X0,fulladder)
| ~ value(in(n1,X0),n0) ),
inference(resolution,[],[f156,f76]) ).
fof(f381,plain,
( ~ value(in(n2,f),n1)
| ~ type(f,fulladder)
| spl0_44 ),
inference(resolution,[],[f158,f339]) ).
fof(f387,definition,
( spl0_50
<=> type(f,fulladder) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f388,plain,
( ~ type(f,fulladder)
| spl0_50 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f394,definition,
( spl0_52
<=> value(in(n2,f),n1) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f395,plain,
( ~ value(in(n2,f),n1)
| spl0_52 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f396,plain,
( ~ spl0_50
| ~ spl0_52
| spl0_44 ),
inference(avatar_split_clause,[],[f381,f338,f394,f387]) ).
fof(f397,plain,
( $false
| spl0_50 ),
inference(resolution,[],[f388,f46]) ).
fof(f398,plain,
spl0_50,
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f399,plain,
( $false
| spl0_52 ),
inference(resolution,[],[f395,f48]) ).
fof(f400,plain,
spl0_52,
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f405,plain,
( ~ value(in(n2,h1(f)),n1)
| ~ type(h1(f),halfadder)
| spl0_42 ),
inference(resolution,[],[f333,f150]) ).
fof(f407,definition,
( spl0_53
<=> value(in(n2,h1(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f408,plain,
( ~ value(in(n2,h1(f)),n1)
| spl0_53 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f409,plain,
( ~ spl0_36
| ~ spl0_53
| spl0_42 ),
inference(avatar_split_clause,[],[f405,f322,f407,f278]) ).
fof(f412,plain,
( ~ value(in(c,f),n1)
| ~ type(f,fulladder)
| spl0_53 ),
inference(resolution,[],[f160,f408]) ).
fof(f416,definition,
( spl0_54
<=> value(in(c,f),n1) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f417,plain,
( ~ value(in(c,f),n1)
| spl0_54 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( ~ spl0_50
| ~ spl0_54
| spl0_53 ),
inference(avatar_split_clause,[],[f412,f407,f416,f387]) ).
fof(f423,plain,
( $false
| spl0_54 ),
inference(resolution,[],[f417,f49]) ).
fof(f424,plain,
spl0_54,
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f436,plain,
( ~ value(out(c,f),n0)
| ~ type(f,fulladder)
| spl0_18 ),
inference(resolution,[],[f164,f260]) ).
fof(f441,definition,
( spl0_56
<=> value(out(c,f),n0) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f442,plain,
( ~ value(out(c,f),n0)
| spl0_56 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f443,plain,
( ~ spl0_50
| ~ spl0_56
| spl0_18 ),
inference(avatar_split_clause,[],[f436,f181,f441,f387]) ).
fof(f444,plain,
( $false
| spl0_56 ),
inference(resolution,[],[f442,f51]) ).
fof(f445,plain,
spl0_56,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f447,plain,
( spl0_46
| ~ spl0_18
| ~ spl0_29
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f266,f87,f238,f181,f357]) ).
fof(f468,plain,
( ~ value(in(n1,not1(h1(f))),n0)
| ~ type(h1(f),halfadder)
| spl0_21 ),
inference(resolution,[],[f167,f305]) ).
fof(f473,definition,
( spl0_57
<=> value(in(n1,not1(h1(f))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f475,plain,
( ~ spl0_36
| ~ spl0_57
| spl0_21 ),
inference(avatar_split_clause,[],[f468,f191,f473,f278]) ).
fof(f491,plain,
( ~ type(h1(f),halfadder)
| ~ value(out(c,h1(f)),n0)
| ~ spl0_30 ),
inference(resolution,[],[f344,f243]) ).
fof(f509,plain,
( ~ value(in(n2,or1(f)),n0)
| ~ type(f,fulladder)
| spl0_41 ),
inference(resolution,[],[f173,f346]) ).
fof(f511,plain,
( ~ spl0_50
| ~ spl0_46
| spl0_41 ),
inference(avatar_split_clause,[],[f509,f316,f357,f387]) ).
fof(f512,plain,
( ~ spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f216,f191,f242]) ).
fof(f513,plain,
( ~ spl0_41
| ~ spl0_36
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f491,f242,f278,f316]) ).
fof(f519,plain,
( ! [X0] :
( mode(or1(h2(f)),ok)
| ~ type(or1(h2(f)),X0) )
| spl0_1 ),
inference(resolution,[],[f59,f7]) ).
fof(f520,plain,
( spl0_10
| spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f519,f58,f106,f103]) ).
fof(f521,plain,
( ! [X0] :
( mode(and1(h2(f)),ok)
| ~ type(and1(h2(f)),X0) )
| spl0_3 ),
inference(resolution,[],[f66,f7]) ).
fof(f522,plain,
( spl0_12
| spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f521,f65,f116,f113]) ).
fof(f523,plain,
( ! [X0] :
( mode(not1(h1(f)),ok)
| ~ type(not1(h1(f)),X0) )
| spl0_4 ),
inference(resolution,[],[f70,f7]) ).
fof(f524,plain,
( spl0_14
| spl0_15
| spl0_4 ),
inference(avatar_split_clause,[],[f523,f69,f124,f121]) ).
fof(f525,plain,
( ! [X0] :
( mode(and1(h1(f)),ok)
| ~ type(and1(h1(f)),X0) )
| spl0_5 ),
inference(resolution,[],[f74,f7]) ).
fof(f526,plain,
( spl0_16
| spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f525,f73,f132,f129]) ).
fof(f534,plain,
( ~ type(or1(h2(f)),or)
| ~ value(out(n1,or1(h2(f))),n1)
| value(in(n1,or1(h2(f))),n1)
| value(in(n2,or1(h2(f))),n1)
| ~ spl0_11 ),
inference(resolution,[],[f107,f15]) ).
fof(f545,definition,
( spl0_61
<=> value(out(n1,or1(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f546,plain,
( ~ value(out(n1,or1(h2(f))),n1)
| spl0_61 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f552,definition,
( spl0_63
<=> value(in(n1,or1(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f553,plain,
( value(in(n1,or1(h2(f))),n1)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f568,definition,
( spl0_66
<=> type(or1(h2(f)),or) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f569,plain,
( ~ type(or1(h2(f)),or)
| spl0_66 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f573,definition,
( spl0_67
<=> value(in(n2,or1(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f574,plain,
( value(in(n2,or1(h2(f))),n1)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f575,plain,
( spl0_67
| spl0_63
| ~ spl0_61
| ~ spl0_66
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f534,f106,f568,f545,f552,f573]) ).
fof(f599,plain,
( ~ type(and1(h2(f)),and)
| ~ value(out(n1,and1(h2(f))),n1)
| value(in(n1,and1(h2(f))),n1)
| ~ spl0_13 ),
inference(resolution,[],[f117,f11]) ).
fof(f614,definition,
( spl0_72
<=> value(out(n1,and1(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f615,plain,
( ~ value(out(n1,and1(h2(f))),n1)
| spl0_72 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f621,definition,
( spl0_74
<=> value(in(n1,and1(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f649,plain,
( spl0_74
| ~ spl0_72
| ~ spl0_26
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f599,f116,f207,f614,f621]) ).
fof(f654,plain,
( ~ type(h1(f),halfadder)
| ~ spl0_14 ),
inference(resolution,[],[f122,f24]) ).
fof(f655,plain,
( ~ spl0_36
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f654,f121,f278]) ).
fof(f669,plain,
( ~ type(not1(h1(f)),not)
| ~ value(out(n1,not1(h1(f))),n1)
| value(in(n1,not1(h1(f))),n0)
| ~ spl0_15 ),
inference(resolution,[],[f125,f21]) ).
fof(f672,definition,
( spl0_79
<=> value(out(n1,not1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f673,plain,
( ~ value(out(n1,not1(h1(f))),n1)
| spl0_79 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f675,definition,
( spl0_80
<=> type(not1(h1(f)),not) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f676,plain,
( ~ type(not1(h1(f)),not)
| spl0_80 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( spl0_57
| ~ spl0_79
| ~ spl0_80
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f669,f124,f675,f672,f473]) ).
fof(f711,plain,
( ~ type(h1(f),halfadder)
| ~ spl0_16 ),
inference(resolution,[],[f130,f22]) ).
fof(f712,plain,
( ~ spl0_36
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f711,f129,f278]) ).
fof(f717,plain,
( ~ type(and1(h1(f)),and)
| ~ value(out(n1,and1(h1(f))),n1)
| value(in(n2,and1(h1(f))),n1)
| ~ spl0_17 ),
inference(resolution,[],[f133,f12]) ).
fof(f731,definition,
( spl0_89
<=> value(out(n1,and1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f732,plain,
( ~ value(out(n1,and1(h1(f))),n1)
| spl0_89 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f759,definition,
( spl0_95
<=> value(in(n2,and1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f769,definition,
( spl0_97
<=> type(and1(h1(f)),and) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f770,plain,
( ~ type(and1(h1(f)),and)
| spl0_97 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f771,plain,
( spl0_95
| ~ spl0_89
| ~ spl0_97
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f717,f132,f769,f731,f759]) ).
fof(f781,plain,
( ~ type(h2(f),halfadder)
| spl0_66 ),
inference(resolution,[],[f569,f25]) ).
fof(f782,plain,
( ~ type(f,fulladder)
| spl0_66 ),
inference(resolution,[],[f781,f36]) ).
fof(f783,plain,
( ~ spl0_50
| spl0_66 ),
inference(avatar_split_clause,[],[f782,f568,f387]) ).
fof(f784,plain,
( ~ type(h1(f),halfadder)
| spl0_80 ),
inference(resolution,[],[f676,f24]) ).
fof(f785,plain,
( ~ spl0_36
| spl0_80 ),
inference(avatar_split_clause,[],[f784,f675,f278]) ).
fof(f790,plain,
( ~ type(h1(f),halfadder)
| spl0_97 ),
inference(resolution,[],[f770,f22]) ).
fof(f791,plain,
( ~ spl0_36
| spl0_97 ),
inference(avatar_split_clause,[],[f790,f769,f278]) ).
fof(f803,definition,
( spl0_99
<=> value(in(n1,h2(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f804,plain,
( value(in(n1,h2(f)),n1)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f806,definition,
( spl0_100
<=> type(h2(f),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f807,plain,
( ~ type(h2(f),halfadder)
| spl0_100 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f813,plain,
( ~ type(f,fulladder)
| spl0_100 ),
inference(resolution,[],[f807,f36]) ).
fof(f814,plain,
( ~ spl0_50
| spl0_100 ),
inference(avatar_split_clause,[],[f813,f806,f387]) ).
fof(f831,plain,
( ~ value(in(n1,and1(h2(f))),n1)
| ~ type(h2(f),halfadder)
| spl0_61 ),
inference(resolution,[],[f546,f165]) ).
fof(f833,plain,
( ~ spl0_100
| ~ spl0_74
| spl0_61 ),
inference(avatar_split_clause,[],[f831,f545,f621,f806]) ).
fof(f837,definition,
( spl0_104
<=> value(in(n2,h2(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f853,plain,
( ~ value(out(s,h2(f)),n1)
| ~ type(h2(f),halfadder)
| spl0_72 ),
inference(resolution,[],[f615,f152]) ).
fof(f855,definition,
( spl0_106
<=> value(out(s,h2(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f856,plain,
( ~ value(out(s,h2(f)),n1)
| spl0_106 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f857,plain,
( ~ spl0_100
| ~ spl0_106
| spl0_72 ),
inference(avatar_split_clause,[],[f853,f614,f855,f806]) ).
fof(f858,plain,
( ~ value(out(s,f),n1)
| ~ type(f,fulladder)
| spl0_106 ),
inference(resolution,[],[f856,f162]) ).
fof(f860,definition,
( spl0_107
<=> value(out(s,f),n1) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f861,plain,
( ~ value(out(s,f),n1)
| spl0_107 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f862,plain,
( ~ spl0_50
| ~ spl0_107
| spl0_106 ),
inference(avatar_split_clause,[],[f858,f855,f860,f387]) ).
fof(f868,plain,
( $false
| spl0_107 ),
inference(resolution,[],[f861,f50]) ).
fof(f869,plain,
spl0_107,
inference(avatar_contradiction_clause,[],[f868]) ).
fof(f872,plain,
( ~ type(h2(f),halfadder)
| value(in(n1,h2(f)),n1)
| ~ spl0_63 ),
inference(resolution,[],[f553,f143]) ).
fof(f873,plain,
( spl0_99
| ~ spl0_100
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f872,f552,f806,f803]) ).
fof(f875,plain,
( ~ type(f,fulladder)
| ~ value(in(n1,f),n0)
| ~ spl0_99 ),
inference(resolution,[],[f804,f370]) ).
fof(f881,plain,
( ~ spl0_48
| ~ spl0_50
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f875,f803,f387,f366]) ).
fof(f890,plain,
( $false
| spl0_48 ),
inference(resolution,[],[f367,f47]) ).
fof(f891,plain,
spl0_48,
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f893,plain,
( ~ type(h2(f),halfadder)
| value(in(n2,h2(f)),n1)
| ~ spl0_67 ),
inference(resolution,[],[f574,f145]) ).
fof(f894,plain,
( spl0_104
| ~ spl0_100
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f893,f573,f806,f837]) ).
fof(f907,plain,
( ~ value(in(n2,and1(h1(f))),n1)
| ~ type(h1(f),halfadder)
| spl0_79 ),
inference(resolution,[],[f673,f169]) ).
fof(f908,plain,
( ~ spl0_36
| ~ spl0_95
| spl0_79 ),
inference(avatar_split_clause,[],[f907,f672,f759,f278]) ).
fof(f916,plain,
( ~ value(out(s,h1(f)),n1)
| ~ type(h1(f),halfadder)
| spl0_89 ),
inference(resolution,[],[f732,f152]) ).
fof(f918,definition,
( spl0_111
<=> value(out(s,h1(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f919,plain,
( ~ value(out(s,h1(f)),n1)
| spl0_111 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f920,plain,
( ~ spl0_36
| ~ spl0_111
| spl0_89 ),
inference(avatar_split_clause,[],[f916,f731,f918,f278]) ).
fof(f921,plain,
( ~ value(in(n2,h2(f)),n1)
| ~ type(f,fulladder)
| spl0_111 ),
inference(resolution,[],[f919,f171]) ).
fof(f922,plain,
( ~ spl0_50
| ~ spl0_104
| spl0_111 ),
inference(avatar_split_clause,[],[f921,f918,f837,f387]) ).
fof(f924,plain,
( ~ type(h2(f),halfadder)
| ~ spl0_10 ),
inference(resolution,[],[f104,f25]) ).
fof(f925,plain,
( ~ spl0_100
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f924,f103,f806]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f63]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f67]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f71]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f75]) ).
cnf(s6,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f96]) ).
cnf(s7,plain,
~ spl0_6,
inference(sat_conversion,[],[f100]) ).
cnf(s9,plain,
( spl0_2
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f110]) ).
cnf(s13,plain,
~ spl0_8,
inference(sat_conversion,[],[f139]) ).
cnf(s14,plain,
~ spl0_12,
inference(sat_conversion,[],[f142]) ).
cnf(s18,plain,
spl0_23,
inference(sat_conversion,[],[f215]) ).
cnf(s19,plain,
spl0_26,
inference(sat_conversion,[],[f221]) ).
cnf(s22,plain,
spl0_29,
inference(sat_conversion,[],[f254]) ).
cnf(s26,plain,
spl0_36,
inference(sat_conversion,[],[f286]) ).
cnf(s34,plain,
( ~ spl0_9
| ~ spl0_23
| spl0_30
| ~ spl0_40
| ~ spl0_42 ),
inference(sat_conversion,[],[f335]) ).
cnf(s35,plain,
( ~ spl0_36
| spl0_40
| ~ spl0_44 ),
inference(sat_conversion,[],[f340]) ).
cnf(s42,plain,
( spl0_44
| ~ spl0_50
| ~ spl0_52 ),
inference(sat_conversion,[],[f396]) ).
cnf(s43,plain,
spl0_50,
inference(sat_conversion,[],[f398]) ).
cnf(s44,plain,
spl0_52,
inference(sat_conversion,[],[f400]) ).
cnf(s46,plain,
( ~ spl0_36
| spl0_42
| ~ spl0_53 ),
inference(sat_conversion,[],[f409]) ).
cnf(s47,plain,
( ~ spl0_50
| spl0_53
| ~ spl0_54 ),
inference(sat_conversion,[],[f418]) ).
cnf(s49,plain,
spl0_54,
inference(sat_conversion,[],[f424]) ).
cnf(s52,plain,
( spl0_18
| ~ spl0_50
| ~ spl0_56 ),
inference(sat_conversion,[],[f443]) ).
cnf(s53,plain,
spl0_56,
inference(sat_conversion,[],[f445]) ).
cnf(s54,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_29
| spl0_46 ),
inference(sat_conversion,[],[f447]) ).
cnf(s55,plain,
( spl0_21
| ~ spl0_36
| ~ spl0_57 ),
inference(sat_conversion,[],[f475]) ).
cnf(s57,plain,
( spl0_41
| ~ spl0_46
| ~ spl0_50 ),
inference(sat_conversion,[],[f511]) ).
cnf(s58,plain,
( ~ spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f512]) ).
cnf(s59,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_41 ),
inference(sat_conversion,[],[f513]) ).
cnf(s61,plain,
( spl0_1
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f520]) ).
cnf(s62,plain,
( spl0_3
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f522]) ).
cnf(s63,plain,
( spl0_4
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f524]) ).
cnf(s64,plain,
( spl0_5
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f526]) ).
cnf(s71,plain,
( ~ spl0_11
| ~ spl0_61
| spl0_63
| ~ spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f575]) ).
cnf(s89,plain,
( ~ spl0_13
| ~ spl0_26
| ~ spl0_72
| spl0_74 ),
inference(sat_conversion,[],[f649]) ).
cnf(s93,plain,
( ~ spl0_14
| ~ spl0_36 ),
inference(sat_conversion,[],[f655]) ).
cnf(s94,plain,
( ~ spl0_15
| spl0_57
| ~ spl0_79
| ~ spl0_80 ),
inference(sat_conversion,[],[f677]) ).
cnf(s103,plain,
( ~ spl0_16
| ~ spl0_36 ),
inference(sat_conversion,[],[f712]) ).
cnf(s113,plain,
( ~ spl0_17
| ~ spl0_89
| spl0_95
| ~ spl0_97 ),
inference(sat_conversion,[],[f771]) ).
cnf(s118,plain,
( ~ spl0_50
| spl0_66 ),
inference(sat_conversion,[],[f783]) ).
cnf(s119,plain,
( ~ spl0_36
| spl0_80 ),
inference(sat_conversion,[],[f785]) ).
cnf(s121,plain,
( ~ spl0_36
| spl0_97 ),
inference(sat_conversion,[],[f791]) ).
cnf(s125,plain,
( ~ spl0_50
| spl0_100 ),
inference(sat_conversion,[],[f814]) ).
cnf(s129,plain,
( spl0_61
| ~ spl0_74
| ~ spl0_100 ),
inference(sat_conversion,[],[f833]) ).
cnf(s134,plain,
( spl0_72
| ~ spl0_100
| ~ spl0_106 ),
inference(sat_conversion,[],[f857]) ).
cnf(s135,plain,
( ~ spl0_50
| spl0_106
| ~ spl0_107 ),
inference(sat_conversion,[],[f862]) ).
cnf(s137,plain,
spl0_107,
inference(sat_conversion,[],[f869]) ).
cnf(s139,plain,
( ~ spl0_63
| spl0_99
| ~ spl0_100 ),
inference(sat_conversion,[],[f873]) ).
cnf(s142,plain,
( ~ spl0_48
| ~ spl0_50
| ~ spl0_99 ),
inference(sat_conversion,[],[f881]) ).
cnf(s146,plain,
spl0_48,
inference(sat_conversion,[],[f891]) ).
cnf(s147,plain,
( ~ spl0_67
| ~ spl0_100
| spl0_104 ),
inference(sat_conversion,[],[f894]) ).
cnf(s151,plain,
( ~ spl0_36
| spl0_79
| ~ spl0_95 ),
inference(sat_conversion,[],[f908]) ).
cnf(s154,plain,
( ~ spl0_36
| spl0_89
| ~ spl0_111 ),
inference(sat_conversion,[],[f920]) ).
cnf(s155,plain,
( ~ spl0_50
| ~ spl0_104
| spl0_111 ),
inference(sat_conversion,[],[f922]) ).
cnf(s156,plain,
( ~ spl0_10
| ~ spl0_100 ),
inference(sat_conversion,[],[f925]) ).
cnf(s158,plain,
( ~ spl0_50
| ~ spl0_99 ),
inference(rat,[],[s142,s146]) ).
cnf(s159,plain,
( ~ spl0_50
| spl0_106 ),
inference(rat,[],[s135,s137]) ).
cnf(s160,plain,
( spl0_18
| ~ spl0_50 ),
inference(rat,[],[s52,s53]) ).
cnf(s161,plain,
( ~ spl0_50
| spl0_53 ),
inference(rat,[],[s47,s49]) ).
cnf(s163,plain,
~ spl0_99,
inference(rat,[],[s158,s43]) ).
cnf(s164,plain,
spl0_106,
inference(rat,[],[s159,s43]) ).
cnf(s165,plain,
spl0_100,
inference(rat,[],[s125,s43]) ).
cnf(s166,plain,
spl0_66,
inference(rat,[],[s118,s43]) ).
cnf(s167,plain,
spl0_18,
inference(rat,[],[s160,s43]) ).
cnf(s168,plain,
spl0_53,
inference(rat,[],[s161,s43]) ).
cnf(s169,plain,
~ spl0_63,
inference(rat,[],[s139,s165,s163]) ).
cnf(s170,plain,
~ spl0_10,
inference(rat,[],[s156,s165]) ).
cnf(s171,plain,
spl0_72,
inference(rat,[],[s134,s164,s165]) ).
cnf(s174,plain,
spl0_44,
inference(rat,[],[s42,s44,s43]) ).
cnf(s177,plain,
( ~ spl0_36
| spl0_40 ),
inference(rat,[],[s35,s174]) ).
cnf(s178,plain,
spl0_97,
inference(rat,[],[s121,s26]) ).
cnf(s179,plain,
spl0_80,
inference(rat,[],[s119,s26]) ).
cnf(s180,plain,
~ spl0_16,
inference(rat,[],[s103,s26]) ).
cnf(s181,plain,
~ spl0_14,
inference(rat,[],[s93,s26]) ).
cnf(s182,plain,
spl0_42,
inference(rat,[],[s46,s168,s26]) ).
cnf(s183,plain,
spl0_40,
inference(rat,[],[s177,s26]) ).
cnf(s193,plain,
spl0_9,
inference(rat,[],[s6,s13]) ).
cnf(s194,plain,
spl0_30,
inference(rat,[],[s34,s182,s183,s18,s193]) ).
cnf(s195,plain,
~ spl0_41,
inference(rat,[],[s59,s26,s194]) ).
cnf(s196,plain,
~ spl0_21,
inference(rat,[],[s58,s194]) ).
cnf(s199,plain,
~ spl0_46,
inference(rat,[],[s57,s43,s195]) ).
cnf(s200,plain,
~ spl0_57,
inference(rat,[],[s55,s26,s196]) ).
cnf(s203,plain,
~ spl0_7,
inference(rat,[],[s54,s22,s167,s199]) ).
cnf(s206,plain,
spl0_2,
inference(rat,[],[s9,s7,s203]) ).
cnf(s208,plain,
~ spl0_5,
inference(rat,[],[s4,s206]) ).
cnf(s209,plain,
spl0_17,
inference(rat,[],[s64,s180,s208]) ).
cnf(s210,plain,
~ spl0_4,
inference(rat,[],[s3,s206]) ).
cnf(s211,plain,
spl0_15,
inference(rat,[],[s63,s181,s210]) ).
cnf(s213,plain,
~ spl0_79,
inference(rat,[],[s94,s179,s200,s211]) ).
cnf(s216,plain,
~ spl0_95,
inference(rat,[],[s151,s26,s213]) ).
cnf(s217,plain,
~ spl0_89,
inference(rat,[],[s113,s178,s209,s216]) ).
cnf(s218,plain,
~ spl0_111,
inference(rat,[],[s154,s26,s217]) ).
cnf(s219,plain,
~ spl0_104,
inference(rat,[],[s155,s43,s218]) ).
cnf(s220,plain,
~ spl0_67,
inference(rat,[],[s147,s165,s219]) ).
cnf(s221,plain,
~ spl0_3,
inference(rat,[],[s2,s206]) ).
cnf(s222,plain,
spl0_13,
inference(rat,[],[s62,s14,s221]) ).
cnf(s223,plain,
spl0_74,
inference(rat,[],[s89,s19,s171,s222]) ).
cnf(s225,plain,
spl0_61,
inference(rat,[],[s129,s165,s223]) ).
cnf(s226,plain,
~ spl0_11,
inference(rat,[],[s71,s220,s166,s169,s225]) ).
cnf(s227,plain,
spl0_1,
inference(rat,[],[s61,s170,s226]) ).
cnf(s228,plain,
$false,
inference(rat,[],[s1,s206,s227]) ).
fof(f926,plain,
$false,
inference(avatar_sat_refutation,[],[s228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV007-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:57:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.28/1.39 % (2449946)Input is clausal, will run a generic CNF schedule.
% 3.28/1.39 % (2449967)lrs+10_1_sil=8000:sp=occurrence:random_seed=1366186023:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.28/1.39 % (2449967)Refutation not found, incomplete strategy
% 3.28/1.39 % (2449967)------------------------------
% 3.28/1.39 % (2449967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.39 % (2449967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.39 % (2449967)CaDiCaL version: 2.1.3
% 3.28/1.39 % (2449967)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.39 % (2449967)Time elapsed: 0.004 s
% 3.28/1.39 % (2449967)Peak memory usage: 88 MB
% 3.28/1.39 % (2449967)Instructions burned: 8 (million)
% 3.28/1.39 % (2449969)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2886760830:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.28/1.39 % (2449965)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=527345097:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.28/1.39 % (2449970)dis-21_1_sil=8000:lcm=predicate:random_seed=12055495: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)
% 3.28/1.39 % (2449964)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=4033898381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.28/1.39 % (2449966)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=471658951:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.28/1.39 % (2449970)First to succeed.
% 3.28/1.39 % (2449970)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2449946"
% 3.28/1.39 % (2449968)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2003944455:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.28/1.39 % (2449968)Refutation not found, incomplete strategy
% 3.28/1.39 % (2449968)------------------------------
% 3.28/1.39 % (2449968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.39 % (2449968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.39 % (2449968)CaDiCaL version: 2.1.3
% 3.28/1.39 % (2449968)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.39 % (2449968)Time elapsed: 0.004 s
% 3.28/1.39 % (2449968)Peak memory usage: 88 MB
% 3.28/1.39 % (2449968)Instructions burned: 2 (million)
% 3.28/1.39 % (2449967)------------------------------
% 3.28/1.39 % (2449967)------------------------------
% 3.28/1.39 % (2449969)Also succeeded, but the first one will report.
% 3.28/1.39 % (2449970)Refutation found. Thanks to Tanya!
% 3.28/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.28/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 4.13/1.59 % (2449970)------------------------------
% 4.13/1.59 % (2449970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.59 % (2449970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.59 % (2449970)CaDiCaL version: 2.1.3
% 4.13/1.59 % (2449970)Termination reason: Refutation
% 4.13/1.59 % (2449970)Time elapsed: 0.016 s
% 4.13/1.59 % (2449970)Peak memory usage: 89 MB
% 4.13/1.59 % (2449970)Instructions burned: 22 (million)
% 4.13/1.59 % (2449970)------------------------------
% 4.13/1.59 % (2449970)------------------------------
% 4.13/1.59 % (2449946)Success in time 0.508 s
% 4.13/1.59 % Vampire exiting
%------------------------------------------------------------------------------