%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV006-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 10:20:09 AM UTC 2026
% Result : Unsatisfiable 2.83s 1.26s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 108
% Syntax : Number of formulae : 445 ( 96 unt; 61 def)
% Number of atoms : 954 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1002 ( 493 ~; 448 |; 0 &)
% ( 61 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 67 ( 66 usr; 62 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ connection(X0,X1)
| ~ value(X0,X2)
| value(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation1) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ connection(X0,X1)
| ~ value(X1,X2)
| value(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).
fof(f4,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_value1) ).
fof(f7,axiom,
! [X0,X1] :
( mode(X0,abnormal)
| mode(X0,ok)
| ~ type(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ok_or_abnormal) ).
fof(f8,axiom,
! [X0,X1] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(in(X1,X0),n0)
| value(out(n1,X0),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_0x_0) ).
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/sandbox/benchmark/theBenchmark.p',and_11_1) ).
fof(f12,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(out(n1,X0),n1)
| value(in(n2,X0),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1_x1) ).
fof(f13,axiom,
! [X0,X1] :
( ~ mode(X0,ok)
| ~ type(X0,or)
| ~ value(in(X1,X0),n1)
| value(out(n1,X0),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1x_1) ).
fof(f16,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,or)
| ~ value(out(n1,X0),n0)
| value(in(n1,X0),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_0_0x) ).
fof(f18,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,not)
| ~ value(in(n1,X0),n0)
| value(out(n1,X0),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_fw) ).
fof(f21,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,not)
| ~ value(out(n1,X0),n1)
| value(in(n1,X0),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_1_0_bw) ).
fof(f22,axiom,
! [X0] :
( type(and1(X0),and)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and1) ).
fof(f23,axiom,
! [X0] :
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and2) ).
fof(f24,axiom,
! [X0] :
( type(not1(X0),not)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_not1) ).
fof(f25,axiom,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_or1) ).
fof(f27,axiom,
! [X0] :
( connection(in(n2,X0),in(n2,or1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
fof(f35,axiom,
! [X0] :
( type(h1(X0),halfadder)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder1) ).
fof(f36,axiom,
! [X0] :
( type(h2(X0),halfadder)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder2) ).
fof(f37,axiom,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_or1) ).
fof(f38,axiom,
! [X0] :
( connection(out(s,h1(X0)),in(n2,h2(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).
fof(f40,axiom,
! [X0] :
( connection(out(c,h2(X0)),in(n1,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
fof(f41,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,h2(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
fof(f46,axiom,
type(f,fulladder),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).
fof(f47,axiom,
value(in(n1,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
fof(f48,axiom,
value(in(n2,f),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).
fof(f49,axiom,
value(in(c,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).
fof(f50,axiom,
value(out(s,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).
fof(f51,axiom,
value(out(c,f),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
fof(f52,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(not1(h2(f)),abnormal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).
fof(f53,negated_conjecture,
~ mode(and2(h2(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2) ).
fof(f54,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h2(f)),abnormal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
fof(f55,negated_conjecture,
~ mode(or1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1h1) ).
fof(f56,negated_conjecture,
~ mode(not1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1h1) ).
fof(f57,negated_conjecture,
~ mode(and2(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1) ).
fof(f58,negated_conjecture,
~ mode(and1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1h1) ).
fof(f60,definition,
( spl0_1
<=> mode(and1(h2(f)),abnormal) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f61,plain,
( ~ mode(and1(h2(f)),abnormal)
| spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_2
<=> mode(or1(f),abnormal) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f64,plain,
( ~ mode(or1(f),abnormal)
| spl0_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f54,f63,f60]) ).
fof(f67,definition,
( spl0_3
<=> mode(not1(h2(f)),abnormal) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f68,plain,
( ~ mode(not1(h2(f)),abnormal)
| spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f52,f63,f67]) ).
fof(f70,plain,
! [X0] :
( ~ value(X0,n0)
| ~ value(X0,n1) ),
inference(resolution,[],[f3,f4]) ).
fof(f75,plain,
! [X0] :
( mode(and1(h1(f)),ok)
| ~ type(and1(h1(f)),X0) ),
inference(resolution,[],[f7,f58]) ).
fof(f76,plain,
! [X0] :
( mode(and2(h2(f)),ok)
| ~ type(and2(h2(f)),X0) ),
inference(resolution,[],[f7,f53]) ).
fof(f77,plain,
! [X0] :
( mode(and2(h1(f)),ok)
| ~ type(and2(h1(f)),X0) ),
inference(resolution,[],[f7,f57]) ).
fof(f78,plain,
! [X0] :
( mode(not1(h1(f)),ok)
| ~ type(not1(h1(f)),X0) ),
inference(resolution,[],[f7,f56]) ).
fof(f80,plain,
! [X0] :
( mode(or1(h1(f)),ok)
| ~ type(or1(h1(f)),X0) ),
inference(resolution,[],[f7,f55]) ).
fof(f82,definition,
( spl0_4
<=> ! [X0] : ~ type(or1(h1(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] : ~ type(or1(h1(f)),X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_5
<=> mode(or1(h1(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f86,plain,
( mode(or1(h1(f)),ok)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f80,f85,f82]) ).
fof(f89,definition,
( spl0_6
<=> ! [X0] : ~ type(or1(f),X0) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f90,plain,
( ! [X0] : ~ type(or1(f),X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,definition,
( spl0_7
<=> mode(or1(f),ok) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f93,plain,
( mode(or1(f),ok)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_8
<=> ! [X0] : ~ type(not1(h1(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( ! [X0] : ~ type(not1(h1(f)),X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_9
<=> mode(not1(h1(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f100,plain,
( mode(not1(h1(f)),ok)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f78,f99,f96]) ).
fof(f103,definition,
( spl0_10
<=> ! [X0] : ~ type(and2(h1(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f104,plain,
( ! [X0] : ~ type(and2(h1(f)),X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,definition,
( spl0_11
<=> mode(and2(h1(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f107,plain,
( mode(and2(h1(f)),ok)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f77,f106,f103]) ).
fof(f110,definition,
( spl0_12
<=> ! [X0] : ~ type(and2(h2(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f111,plain,
( ! [X0] : ~ type(and2(h2(f)),X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,definition,
( spl0_13
<=> mode(and2(h2(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f114,plain,
( mode(and2(h2(f)),ok)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f76,f113,f110]) ).
fof(f117,definition,
( spl0_14
<=> ! [X0] : ~ type(and1(h1(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f118,plain,
( ! [X0] : ~ type(and1(h1(f)),X0)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,definition,
( spl0_15
<=> mode(and1(h1(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f121,plain,
( mode(and1(h1(f)),ok)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f75,f120,f117]) ).
fof(f123,plain,
( ~ type(f,fulladder)
| ~ spl0_6 ),
inference(resolution,[],[f90,f37]) ).
fof(f125,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f123,f46]) ).
fof(f126,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f129,definition,
( spl0_16
<=> ! [X0] : ~ type(and1(h2(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f130,plain,
( ! [X0] : ~ type(and1(h2(f)),X0)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,definition,
( spl0_17
<=> mode(and1(h2(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f133,plain,
( mode(and1(h2(f)),ok)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( ! [X0] :
( mode(or1(f),ok)
| ~ type(or1(f),X0) )
| spl0_2 ),
inference(resolution,[],[f64,f7]) ).
fof(f136,plain,
( spl0_6
| spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f135,f63,f92,f89]) ).
fof(f139,definition,
( spl0_18
<=> ! [X0] : ~ type(not1(h2(f)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f140,plain,
( ! [X0] : ~ type(not1(h2(f)),X0)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,definition,
( spl0_19
<=> mode(not1(h2(f)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f143,plain,
( mode(not1(h2(f)),ok)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,plain,
( ~ type(h1(f),halfadder)
| ~ spl0_4 ),
inference(resolution,[],[f83,f25]) ).
fof(f147,plain,
( ~ type(h1(f),halfadder)
| ~ spl0_8 ),
inference(resolution,[],[f97,f24]) ).
fof(f148,plain,
( ~ type(f,fulladder)
| ~ spl0_4 ),
inference(resolution,[],[f146,f35]) ).
fof(f149,plain,
( ~ type(h1(f),halfadder)
| ~ spl0_10 ),
inference(resolution,[],[f104,f23]) ).
fof(f150,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f148,f46]) ).
fof(f151,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f152,plain,
( ~ type(f,fulladder)
| ~ spl0_8 ),
inference(resolution,[],[f147,f35]) ).
fof(f153,plain,
( ~ type(h2(f),halfadder)
| ~ spl0_12 ),
inference(resolution,[],[f111,f23]) ).
fof(f154,plain,
( $false
| ~ spl0_8 ),
inference(resolution,[],[f152,f46]) ).
fof(f155,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f156,plain,
( ~ type(f,fulladder)
| ~ spl0_10 ),
inference(resolution,[],[f149,f35]) ).
fof(f157,plain,
( ~ type(h1(f),halfadder)
| ~ spl0_14 ),
inference(resolution,[],[f118,f22]) ).
fof(f158,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f156,f46]) ).
fof(f159,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f160,plain,
( ~ type(f,fulladder)
| ~ spl0_12 ),
inference(resolution,[],[f153,f36]) ).
fof(f161,plain,
( ~ type(h2(f),halfadder)
| ~ spl0_18 ),
inference(resolution,[],[f140,f24]) ).
fof(f164,plain,
( $false
| ~ spl0_12 ),
inference(resolution,[],[f160,f46]) ).
fof(f165,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f166,plain,
( ~ type(f,fulladder)
| ~ spl0_14 ),
inference(resolution,[],[f157,f35]) ).
fof(f167,plain,
( ~ type(f,fulladder)
| ~ spl0_18 ),
inference(resolution,[],[f161,f36]) ).
fof(f168,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f166,f46]) ).
fof(f169,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f170,plain,
( $false
| ~ spl0_18 ),
inference(resolution,[],[f167,f46]) ).
fof(f171,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f173,plain,
! [X0,X1] :
( value(in(n2,or1(X0)),X1)
| ~ value(in(n2,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f27,f1]) ).
fof(f175,plain,
! [X0,X1] :
( value(in(n1,and2(X0)),X1)
| ~ value(in(n1,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f28,f1]) ).
fof(f177,plain,
! [X0,X1] :
( value(in(n2,and2(X0)),X1)
| ~ value(in(n2,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f29,f1]) ).
fof(f178,plain,
! [X0,X1] :
( ~ value(out(n1,and1(X0)),X1)
| ~ type(X0,halfadder)
| value(out(s,X0),X1) ),
inference(resolution,[],[f30,f2]) ).
fof(f179,plain,
! [X0,X1] :
( value(out(n1,and1(X0)),X1)
| ~ value(out(s,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f30,f1]) ).
fof(f181,plain,
! [X0,X1] :
( value(out(n1,and2(X0)),X1)
| ~ value(out(c,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f31,f1]) ).
fof(f183,plain,
! [X0,X1] :
( value(in(n1,h2(X0)),X1)
| ~ value(in(n1,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f41,f1]) ).
fof(f185,plain,
! [X0,X1] :
( value(in(n1,h1(X0)),X1)
| ~ value(in(n2,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f42,f1]) ).
fof(f187,plain,
! [X0,X1] :
( value(in(n2,h1(X0)),X1)
| ~ value(in(c,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f43,f1]) ).
fof(f189,plain,
! [X0,X1] :
( value(out(s,h2(X0)),X1)
| ~ value(out(s,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f44,f1]) ).
fof(f191,plain,
! [X0,X1] :
( value(out(n1,or1(X0)),X1)
| ~ value(out(c,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f45,f1]) ).
fof(f193,plain,
! [X0,X1] :
( ~ value(out(n1,or1(X0)),X1)
| ~ type(X0,halfadder)
| value(in(n1,and1(X0)),X1) ),
inference(resolution,[],[f32,f1]) ).
fof(f194,plain,
! [X0,X1] :
( value(out(n1,and2(X0)),X1)
| ~ value(in(n1,not1(X0)),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f33,f2]) ).
fof(f195,plain,
! [X0,X1] :
( ~ value(out(n1,and2(X0)),X1)
| ~ type(X0,halfadder)
| value(in(n1,not1(X0)),X1) ),
inference(resolution,[],[f33,f1]) ).
fof(f196,plain,
! [X0,X1] :
( value(out(n1,not1(X0)),X1)
| ~ value(in(n2,and1(X0)),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f34,f2]) ).
fof(f197,plain,
! [X0,X1] :
( ~ value(out(n1,not1(X0)),X1)
| ~ type(X0,halfadder)
| value(in(n2,and1(X0)),X1) ),
inference(resolution,[],[f34,f1]) ).
fof(f199,plain,
! [X0,X1] :
( ~ value(out(s,h1(X0)),X1)
| ~ type(X0,fulladder)
| value(in(n2,h2(X0)),X1) ),
inference(resolution,[],[f38,f1]) ).
fof(f202,plain,
! [X0,X1] :
( value(out(c,h2(X0)),X1)
| ~ value(in(n1,or1(X0)),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f40,f2]) ).
fof(f205,plain,
( ! [X0] :
( ~ type(and2(h1(f)),and)
| ~ value(in(X0,and2(h1(f))),n0)
| value(out(n1,and2(h1(f))),n0) )
| ~ spl0_11 ),
inference(resolution,[],[f8,f107]) ).
fof(f222,definition,
( spl0_23
<=> value(out(n1,or1(f)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f252,definition,
( spl0_32
<=> value(out(n1,and2(h2(f))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f253,plain,
( value(out(n1,and2(h2(f))),n0)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f258,definition,
( spl0_34
<=> type(and2(h2(f)),and) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f259,plain,
( ~ type(and2(h2(f)),and)
| spl0_34 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl0_35
<=> value(out(n1,and2(h1(f))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f263,plain,
( value(out(n1,and2(h1(f))),n0)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,definition,
( spl0_36
<=> ! [X0] : ~ value(in(X0,and2(h1(f))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f266,plain,
( ! [X0] : ~ value(in(X0,and2(h1(f))),n0)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,definition,
( spl0_37
<=> type(and2(h1(f)),and) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f269,plain,
( ~ type(and2(h1(f)),and)
| spl0_37 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( spl0_35
| spl0_36
| ~ spl0_37
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f205,f106,f268,f265,f262]) ).
fof(f278,definition,
( spl0_40
<=> type(and1(h1(f)),and) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f279,plain,
( ~ type(and1(h1(f)),and)
| spl0_40 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f281,plain,
( ~ type(h2(f),halfadder)
| spl0_34 ),
inference(resolution,[],[f259,f23]) ).
fof(f285,plain,
( ~ type(h1(f),halfadder)
| spl0_37 ),
inference(resolution,[],[f269,f23]) ).
fof(f286,plain,
( ~ type(f,fulladder)
| spl0_34 ),
inference(resolution,[],[f281,f36]) ).
fof(f287,plain,
( ~ type(h1(f),halfadder)
| spl0_40 ),
inference(resolution,[],[f279,f22]) ).
fof(f288,plain,
( $false
| spl0_34 ),
inference(resolution,[],[f286,f46]) ).
fof(f289,plain,
spl0_34,
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f290,plain,
( ~ value(out(n1,and2(h2(f))),n1)
| ~ spl0_32 ),
inference(resolution,[],[f253,f70]) ).
fof(f291,plain,
( ~ type(f,fulladder)
| spl0_37 ),
inference(resolution,[],[f285,f35]) ).
fof(f292,plain,
( $false
| spl0_37 ),
inference(resolution,[],[f291,f46]) ).
fof(f293,plain,
spl0_37,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f295,plain,
( ~ type(f,fulladder)
| spl0_40 ),
inference(resolution,[],[f287,f35]) ).
fof(f296,plain,
( $false
| spl0_40 ),
inference(resolution,[],[f295,f46]) ).
fof(f297,plain,
spl0_40,
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f322,plain,
( ! [X0] :
( ~ type(or1(h1(f)),or)
| ~ value(in(X0,or1(h1(f))),n1)
| value(out(n1,or1(h1(f))),n1) )
| ~ spl0_5 ),
inference(resolution,[],[f13,f86]) ).
fof(f324,definition,
( spl0_41
<=> value(out(n1,or1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f325,plain,
( value(out(n1,or1(h1(f))),n1)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f327,definition,
( spl0_42
<=> ! [X0] : ~ value(in(X0,or1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f328,plain,
( ! [X0] : ~ value(in(X0,or1(h1(f))),n1)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f330,definition,
( spl0_43
<=> type(or1(h1(f)),or) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f331,plain,
( ~ type(or1(h1(f)),or)
| spl0_43 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( spl0_41
| spl0_42
| ~ spl0_43
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f322,f85,f330,f327,f324]) ).
fof(f340,definition,
( spl0_46
<=> type(or1(f),or) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f341,plain,
( ~ type(or1(f),or)
| spl0_46 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f344,definition,
( spl0_47
<=> value(out(n1,not1(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f354,definition,
( spl0_50
<=> value(out(n1,not1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f355,plain,
( value(out(n1,not1(h1(f))),n1)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f364,definition,
( spl0_53
<=> value(out(n1,and2(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f365,plain,
( value(out(n1,and2(h2(f))),n1)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f384,definition,
( spl0_59
<=> value(out(n1,and1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f385,plain,
( value(out(n1,and1(h1(f))),n1)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f393,plain,
( ~ type(f,fulladder)
| spl0_46 ),
inference(resolution,[],[f341,f37]) ).
fof(f396,plain,
( ~ type(h1(f),halfadder)
| spl0_43 ),
inference(resolution,[],[f331,f25]) ).
fof(f397,plain,
( $false
| spl0_46 ),
inference(resolution,[],[f393,f46]) ).
fof(f398,plain,
spl0_46,
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f399,plain,
( ~ type(f,fulladder)
| spl0_43 ),
inference(resolution,[],[f396,f35]) ).
fof(f400,plain,
( $false
| spl0_43 ),
inference(resolution,[],[f399,f46]) ).
fof(f401,plain,
spl0_43,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f407,plain,
( ~ type(or1(f),or)
| ~ value(out(n1,or1(f)),n0)
| value(in(n1,or1(f)),n0)
| ~ spl0_7 ),
inference(resolution,[],[f16,f93]) ).
fof(f415,definition,
( spl0_63
<=> value(in(n1,or1(f)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f417,plain,
( ~ value(out(n1,or1(f)),n0)
| spl0_23 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f418,plain,
( spl0_63
| ~ spl0_23
| ~ spl0_46
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f407,f92,f340,f222,f415]) ).
fof(f432,plain,
( ~ type(not1(h1(f)),not)
| ~ value(in(n1,not1(h1(f))),n0)
| value(out(n1,not1(h1(f))),n1)
| ~ spl0_9 ),
inference(resolution,[],[f18,f100]) ).
fof(f437,definition,
( spl0_64
<=> value(in(n1,not1(h2(f))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f440,definition,
( spl0_65
<=> type(not1(h2(f)),not) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f441,plain,
( ~ type(not1(h2(f)),not)
| spl0_65 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f444,definition,
( spl0_66
<=> value(in(n1,not1(h1(f))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f447,definition,
( spl0_67
<=> type(not1(h1(f)),not) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f448,plain,
( ~ type(not1(h1(f)),not)
| spl0_67 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( spl0_50
| ~ spl0_66
| ~ spl0_67
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f432,f99,f447,f444,f354]) ).
fof(f471,plain,
( ~ type(h1(f),halfadder)
| spl0_67 ),
inference(resolution,[],[f448,f24]) ).
fof(f472,plain,
( ~ type(f,fulladder)
| spl0_67 ),
inference(resolution,[],[f471,f35]) ).
fof(f473,plain,
( $false
| spl0_67 ),
inference(resolution,[],[f472,f46]) ).
fof(f474,plain,
spl0_67,
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f477,definition,
( spl0_74
<=> type(h2(f),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f478,plain,
( ~ type(h2(f),halfadder)
| spl0_74 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f483,plain,
( ~ type(f,fulladder)
| spl0_74 ),
inference(resolution,[],[f478,f36]) ).
fof(f487,plain,
( $false
| spl0_74 ),
inference(resolution,[],[f483,f46]) ).
fof(f488,plain,
spl0_74,
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f518,plain,
( ~ type(h2(f),halfadder)
| spl0_65 ),
inference(resolution,[],[f441,f24]) ).
fof(f519,plain,
( ~ spl0_74
| spl0_65 ),
inference(avatar_split_clause,[],[f518,f440,f477]) ).
fof(f522,definition,
( spl0_82
<=> type(h1(f),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f523,plain,
( ~ type(h1(f),halfadder)
| spl0_82 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f528,plain,
( ~ type(f,fulladder)
| spl0_82 ),
inference(resolution,[],[f523,f35]) ).
fof(f529,plain,
( $false
| spl0_82 ),
inference(resolution,[],[f528,f46]) ).
fof(f530,plain,
spl0_82,
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f537,definition,
( spl0_85
<=> value(in(n1,and1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f542,definition,
( spl0_86
<=> value(in(n2,and1(h1(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f559,definition,
( spl0_87
<=> value(in(n1,and2(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f561,plain,
( ~ value(out(n1,and2(h2(f))),n0)
| spl0_32 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f568,definition,
( spl0_88
<=> value(out(s,h1(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f581,plain,
( ~ value(out(n1,not1(h2(f))),n1)
| spl0_47 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f593,definition,
( spl0_90
<=> value(out(c,h2(f)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f608,definition,
( spl0_93
<=> value(in(n2,and2(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f617,plain,
( ~ value(in(n1,h1(f)),n0)
| ~ type(h1(f),halfadder)
| ~ spl0_36 ),
inference(resolution,[],[f266,f175]) ).
fof(f624,definition,
( spl0_96
<=> value(in(n1,h1(f)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f625,plain,
( ~ value(in(n1,h1(f)),n0)
| spl0_96 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f626,plain,
( ~ spl0_82
| ~ spl0_96
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f617,f265,f624,f522]) ).
fof(f627,plain,
( ~ type(and1(h1(f)),and)
| ~ value(in(n1,and1(h1(f))),n1)
| ~ value(in(n2,and1(h1(f))),n1)
| value(out(n1,and1(h1(f))),n1)
| ~ spl0_15 ),
inference(resolution,[],[f9,f121]) ).
fof(f629,plain,
( ~ type(and2(h2(f)),and)
| ~ value(in(n1,and2(h2(f))),n1)
| ~ value(in(n2,and2(h2(f))),n1)
| value(out(n1,and2(h2(f))),n1)
| ~ spl0_13 ),
inference(resolution,[],[f9,f114]) ).
fof(f634,plain,
( ~ value(in(n2,and2(h2(f))),n1)
| spl0_93 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f635,plain,
( ~ value(in(n1,and2(h2(f))),n1)
| spl0_87 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f636,plain,
( spl0_53
| ~ spl0_93
| ~ spl0_87
| ~ spl0_34
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f629,f113,f258,f559,f608,f364]) ).
fof(f642,plain,
( spl0_59
| ~ spl0_86
| ~ spl0_85
| ~ spl0_40
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f627,f120,f278,f537,f542,f384]) ).
fof(f643,plain,
( ~ value(in(n2,h2(f)),n1)
| ~ type(h2(f),halfadder)
| spl0_93 ),
inference(resolution,[],[f634,f177]) ).
fof(f645,definition,
( spl0_97
<=> value(in(n2,h2(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f647,plain,
( ~ spl0_74
| ~ spl0_97
| spl0_93 ),
inference(avatar_split_clause,[],[f643,f608,f645,f477]) ).
fof(f650,definition,
( spl0_98
<=> value(in(n2,h1(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f651,plain,
( ~ value(in(n2,h1(f)),n1)
| spl0_98 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f657,plain,
! [X0] :
( ~ value(out(n1,and2(X0)),n1)
| ~ type(X0,halfadder)
| ~ value(out(c,X0),n0) ),
inference(resolution,[],[f181,f70]) ).
fof(f659,plain,
( ~ value(out(c,h2(f)),n0)
| spl0_90 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f716,definition,
( spl0_105
<=> type(f,fulladder) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f717,plain,
( ~ type(f,fulladder)
| spl0_105 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f727,definition,
( spl0_108
<=> value(in(n2,f),n0) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f728,plain,
( ~ value(in(n2,f),n0)
| spl0_108 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f731,plain,
( $false
| spl0_105 ),
inference(resolution,[],[f717,f46]) ).
fof(f732,plain,
spl0_105,
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f754,plain,
( ~ value(in(n2,h1(f)),n1)
| ~ type(h1(f),halfadder)
| ~ spl0_42 ),
inference(resolution,[],[f328,f173]) ).
fof(f757,plain,
( ~ value(in(n2,f),n0)
| ~ type(f,fulladder)
| spl0_96 ),
inference(resolution,[],[f185,f625]) ).
fof(f760,plain,
( ~ spl0_105
| ~ spl0_108
| spl0_96 ),
inference(avatar_split_clause,[],[f757,f624,f727,f716]) ).
fof(f761,plain,
( $false
| spl0_108 ),
inference(resolution,[],[f728,f48]) ).
fof(f762,plain,
spl0_108,
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f779,plain,
( ~ value(in(c,f),n1)
| ~ type(f,fulladder)
| spl0_98 ),
inference(resolution,[],[f187,f651]) ).
fof(f789,definition,
( spl0_112
<=> value(in(c,f),n1) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f790,plain,
( ~ value(in(c,f),n1)
| spl0_112 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f791,plain,
( ~ spl0_105
| ~ spl0_112
| spl0_98 ),
inference(avatar_split_clause,[],[f779,f650,f789,f716]) ).
fof(f792,plain,
( $false
| spl0_112 ),
inference(resolution,[],[f790,f49]) ).
fof(f793,plain,
spl0_112,
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f794,plain,
( ~ spl0_82
| ~ spl0_98
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f754,f327,f650,f522]) ).
fof(f813,plain,
( ~ value(out(c,f),n0)
| ~ type(f,fulladder)
| spl0_23 ),
inference(resolution,[],[f191,f417]) ).
fof(f819,definition,
( spl0_114
<=> value(out(c,f),n0) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f820,plain,
( ~ value(out(c,f),n0)
| spl0_114 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f821,plain,
( ~ spl0_105
| ~ spl0_114
| spl0_23 ),
inference(avatar_split_clause,[],[f813,f222,f819,f716]) ).
fof(f822,plain,
( $false
| spl0_114 ),
inference(resolution,[],[f820,f51]) ).
fof(f823,plain,
spl0_114,
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f841,plain,
( ~ type(h1(f),halfadder)
| value(in(n1,and1(h1(f))),n1)
| ~ spl0_41 ),
inference(resolution,[],[f193,f325]) ).
fof(f846,plain,
( spl0_85
| ~ spl0_82
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f841,f324,f522,f537]) ).
fof(f860,plain,
( ~ type(h1(f),halfadder)
| value(in(n1,not1(h1(f))),n0)
| ~ spl0_35 ),
inference(resolution,[],[f195,f263]) ).
fof(f863,plain,
( spl0_66
| ~ spl0_82
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f860,f262,f522,f444]) ).
fof(f867,plain,
( ~ value(in(n2,and1(h2(f))),n1)
| ~ type(h2(f),halfadder)
| spl0_47 ),
inference(resolution,[],[f196,f581]) ).
fof(f876,definition,
( spl0_116
<=> value(in(n2,and1(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f878,plain,
( ~ spl0_74
| ~ spl0_116
| spl0_47 ),
inference(avatar_split_clause,[],[f867,f344,f876,f477]) ).
fof(f883,plain,
( ~ type(h1(f),halfadder)
| value(in(n2,and1(h1(f))),n1)
| ~ spl0_50 ),
inference(resolution,[],[f197,f355]) ).
fof(f886,plain,
( spl0_86
| ~ spl0_82
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f883,f354,f522,f542]) ).
fof(f888,plain,
( ~ type(h1(f),halfadder)
| value(out(s,h1(f)),n1)
| ~ spl0_59 ),
inference(resolution,[],[f385,f178]) ).
fof(f889,plain,
( value(out(s,h1(f)),n1)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f890,plain,
( spl0_88
| ~ spl0_82
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f888,f384,f522,f568]) ).
fof(f897,plain,
( ~ type(f,fulladder)
| value(in(n2,h2(f)),n1)
| ~ spl0_88 ),
inference(resolution,[],[f199,f889]) ).
fof(f901,plain,
( spl0_97
| ~ spl0_105
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f897,f568,f716,f645]) ).
fof(f905,plain,
( ~ value(in(n1,h2(f)),n1)
| ~ type(h2(f),halfadder)
| spl0_87 ),
inference(resolution,[],[f635,f175]) ).
fof(f907,definition,
( spl0_117
<=> value(in(n1,h2(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f908,plain,
( ~ value(in(n1,h2(f)),n1)
| spl0_117 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f909,plain,
( ~ spl0_74
| ~ spl0_117
| spl0_87 ),
inference(avatar_split_clause,[],[f905,f559,f907,f477]) ).
fof(f910,plain,
( ~ value(in(n1,f),n1)
| ~ type(f,fulladder)
| spl0_117 ),
inference(resolution,[],[f908,f183]) ).
fof(f912,definition,
( spl0_118
<=> value(in(n1,f),n1) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f913,plain,
( ~ value(in(n1,f),n1)
| spl0_118 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f914,plain,
( ~ spl0_105
| ~ spl0_118
| spl0_117 ),
inference(avatar_split_clause,[],[f910,f907,f912,f716]) ).
fof(f918,plain,
( $false
| spl0_118 ),
inference(resolution,[],[f913,f47]) ).
fof(f919,plain,
spl0_118,
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f920,plain,
( ~ type(h2(f),halfadder)
| ~ value(out(c,h2(f)),n0)
| ~ spl0_53 ),
inference(resolution,[],[f365,f657]) ).
fof(f948,plain,
( ~ value(in(n1,or1(f)),n0)
| ~ type(f,fulladder)
| spl0_90 ),
inference(resolution,[],[f202,f659]) ).
fof(f950,plain,
( ~ spl0_105
| ~ spl0_63
| spl0_90 ),
inference(avatar_split_clause,[],[f948,f593,f415,f716]) ).
fof(f951,plain,
( ~ spl0_53
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f290,f252,f364]) ).
fof(f952,plain,
( ~ spl0_90
| ~ spl0_74
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f920,f364,f477,f593]) ).
fof(f958,plain,
( ! [X0] :
( mode(and1(h2(f)),ok)
| ~ type(and1(h2(f)),X0) )
| spl0_1 ),
inference(resolution,[],[f61,f7]) ).
fof(f959,plain,
( spl0_16
| spl0_17
| spl0_1 ),
inference(avatar_split_clause,[],[f958,f60,f132,f129]) ).
fof(f960,plain,
( ! [X0] :
( mode(not1(h2(f)),ok)
| ~ type(not1(h2(f)),X0) )
| spl0_3 ),
inference(resolution,[],[f68,f7]) ).
fof(f961,plain,
( spl0_18
| spl0_19
| spl0_3 ),
inference(avatar_split_clause,[],[f960,f67,f142,f139]) ).
fof(f966,plain,
( ~ type(and1(h2(f)),and)
| ~ value(out(n1,and1(h2(f))),n1)
| value(in(n2,and1(h2(f))),n1)
| ~ spl0_17 ),
inference(resolution,[],[f133,f12]) ).
fof(f980,definition,
( spl0_121
<=> value(out(n1,and1(h2(f))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f981,plain,
( ~ value(out(n1,and1(h2(f))),n1)
| spl0_121 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f1012,definition,
( spl0_127
<=> type(and1(h2(f)),and) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f1013,plain,
( ~ type(and1(h2(f)),and)
| spl0_127 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1014,plain,
( spl0_116
| ~ spl0_121
| ~ spl0_127
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f966,f132,f1012,f980,f876]) ).
fof(f1036,plain,
( ~ type(not1(h2(f)),not)
| ~ value(out(n1,not1(h2(f))),n1)
| value(in(n1,not1(h2(f))),n0)
| ~ spl0_19 ),
inference(resolution,[],[f143,f21]) ).
fof(f1038,plain,
( ~ type(h2(f),halfadder)
| spl0_127 ),
inference(resolution,[],[f1013,f22]) ).
fof(f1039,plain,
( ~ spl0_74
| spl0_127 ),
inference(avatar_split_clause,[],[f1038,f1012,f477]) ).
fof(f1045,plain,
( ~ value(in(n1,not1(h2(f))),n0)
| ~ type(h2(f),halfadder)
| spl0_32 ),
inference(resolution,[],[f561,f194]) ).
fof(f1047,plain,
( ~ value(out(s,h2(f)),n1)
| ~ type(h2(f),halfadder)
| spl0_121 ),
inference(resolution,[],[f981,f179]) ).
fof(f1049,definition,
( spl0_129
<=> value(out(s,h2(f)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1050,plain,
( ~ value(out(s,h2(f)),n1)
| spl0_129 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1051,plain,
( ~ spl0_74
| ~ spl0_129
| spl0_121 ),
inference(avatar_split_clause,[],[f1047,f980,f1049,f477]) ).
fof(f1058,plain,
( ~ value(out(s,f),n1)
| ~ type(f,fulladder)
| spl0_129 ),
inference(resolution,[],[f1050,f189]) ).
fof(f1060,definition,
( spl0_131
<=> value(out(s,f),n1) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1061,plain,
( ~ value(out(s,f),n1)
| spl0_131 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1062,plain,
( ~ spl0_105
| ~ spl0_131
| spl0_129 ),
inference(avatar_split_clause,[],[f1058,f1049,f1060,f716]) ).
fof(f1066,plain,
( $false
| spl0_131 ),
inference(resolution,[],[f1061,f50]) ).
fof(f1067,plain,
spl0_131,
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1070,plain,
( ~ spl0_74
| ~ spl0_64
| spl0_32 ),
inference(avatar_split_clause,[],[f1045,f252,f437,f477]) ).
fof(f1072,plain,
( spl0_64
| ~ spl0_47
| ~ spl0_65
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1036,f142,f440,f344,f437]) ).
fof(f1073,plain,
( ~ type(h2(f),halfadder)
| ~ spl0_16 ),
inference(resolution,[],[f130,f22]) ).
fof(f1074,plain,
( ~ spl0_74
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1073,f129,f477]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f69]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f87]) ).
cnf(s5,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f115]) ).
cnf(s8,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f122]) ).
cnf(s9,plain,
~ spl0_6,
inference(sat_conversion,[],[f126]) ).
cnf(s11,plain,
( spl0_2
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f136]) ).
cnf(s13,plain,
~ spl0_4,
inference(sat_conversion,[],[f151]) ).
cnf(s14,plain,
~ spl0_8,
inference(sat_conversion,[],[f155]) ).
cnf(s15,plain,
~ spl0_10,
inference(sat_conversion,[],[f159]) ).
cnf(s16,plain,
~ spl0_12,
inference(sat_conversion,[],[f165]) ).
cnf(s17,plain,
~ spl0_14,
inference(sat_conversion,[],[f169]) ).
cnf(s18,plain,
~ spl0_18,
inference(sat_conversion,[],[f171]) ).
cnf(s24,plain,
( ~ spl0_11
| spl0_35
| spl0_36
| ~ spl0_37 ),
inference(sat_conversion,[],[f270]) ).
cnf(s26,plain,
spl0_34,
inference(sat_conversion,[],[f289]) ).
cnf(s27,plain,
spl0_37,
inference(sat_conversion,[],[f293]) ).
cnf(s28,plain,
spl0_40,
inference(sat_conversion,[],[f297]) ).
cnf(s29,plain,
( ~ spl0_5
| spl0_41
| spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f332]) ).
cnf(s36,plain,
spl0_46,
inference(sat_conversion,[],[f398]) ).
cnf(s37,plain,
spl0_43,
inference(sat_conversion,[],[f401]) ).
cnf(s39,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_46
| spl0_63 ),
inference(sat_conversion,[],[f418]) ).
cnf(s41,plain,
( ~ spl0_9
| spl0_50
| ~ spl0_66
| ~ spl0_67 ),
inference(sat_conversion,[],[f449]) ).
cnf(s45,plain,
spl0_67,
inference(sat_conversion,[],[f474]) ).
cnf(s47,plain,
spl0_74,
inference(sat_conversion,[],[f488]) ).
cnf(s52,plain,
( spl0_65
| ~ spl0_74 ),
inference(sat_conversion,[],[f519]) ).
cnf(s54,plain,
spl0_82,
inference(sat_conversion,[],[f530]) ).
cnf(s73,plain,
( ~ spl0_36
| ~ spl0_82
| ~ spl0_96 ),
inference(sat_conversion,[],[f626]) ).
cnf(s74,plain,
( ~ spl0_13
| ~ spl0_34
| spl0_53
| ~ spl0_87
| ~ spl0_93 ),
inference(sat_conversion,[],[f636]) ).
cnf(s76,plain,
( ~ spl0_15
| ~ spl0_40
| spl0_59
| ~ spl0_85
| ~ spl0_86 ),
inference(sat_conversion,[],[f642]) ).
cnf(s77,plain,
( ~ spl0_74
| spl0_93
| ~ spl0_97 ),
inference(sat_conversion,[],[f647]) ).
cnf(s90,plain,
spl0_105,
inference(sat_conversion,[],[f732]) ).
cnf(s93,plain,
( spl0_96
| ~ spl0_105
| ~ spl0_108 ),
inference(sat_conversion,[],[f760]) ).
cnf(s94,plain,
spl0_108,
inference(sat_conversion,[],[f762]) ).
cnf(s100,plain,
( spl0_98
| ~ spl0_105
| ~ spl0_112 ),
inference(sat_conversion,[],[f791]) ).
cnf(s101,plain,
spl0_112,
inference(sat_conversion,[],[f793]) ).
cnf(s102,plain,
( ~ spl0_42
| ~ spl0_82
| ~ spl0_98 ),
inference(sat_conversion,[],[f794]) ).
cnf(s107,plain,
( spl0_23
| ~ spl0_105
| ~ spl0_114 ),
inference(sat_conversion,[],[f821]) ).
cnf(s108,plain,
spl0_114,
inference(sat_conversion,[],[f823]) ).
cnf(s110,plain,
( ~ spl0_41
| ~ spl0_82
| spl0_85 ),
inference(sat_conversion,[],[f846]) ).
cnf(s111,plain,
( ~ spl0_35
| spl0_66
| ~ spl0_82 ),
inference(sat_conversion,[],[f863]) ).
cnf(s113,plain,
( spl0_47
| ~ spl0_74
| ~ spl0_116 ),
inference(sat_conversion,[],[f878]) ).
cnf(s114,plain,
( ~ spl0_50
| ~ spl0_82
| spl0_86 ),
inference(sat_conversion,[],[f886]) ).
cnf(s115,plain,
( ~ spl0_59
| ~ spl0_82
| spl0_88 ),
inference(sat_conversion,[],[f890]) ).
cnf(s116,plain,
( ~ spl0_88
| spl0_97
| ~ spl0_105 ),
inference(sat_conversion,[],[f901]) ).
cnf(s118,plain,
( ~ spl0_74
| spl0_87
| ~ spl0_117 ),
inference(sat_conversion,[],[f909]) ).
cnf(s119,plain,
( ~ spl0_105
| spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f914]) ).
cnf(s120,plain,
spl0_118,
inference(sat_conversion,[],[f919]) ).
cnf(s125,plain,
( ~ spl0_63
| spl0_90
| ~ spl0_105 ),
inference(sat_conversion,[],[f950]) ).
cnf(s126,plain,
( ~ spl0_32
| ~ spl0_53 ),
inference(sat_conversion,[],[f951]) ).
cnf(s127,plain,
( ~ spl0_53
| ~ spl0_74
| ~ spl0_90 ),
inference(sat_conversion,[],[f952]) ).
cnf(s129,plain,
( spl0_1
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f959]) ).
cnf(s130,plain,
( spl0_3
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f961]) ).
cnf(s140,plain,
( ~ spl0_17
| spl0_116
| ~ spl0_121
| ~ spl0_127 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s145,plain,
( ~ spl0_74
| spl0_127 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s147,plain,
( ~ spl0_74
| spl0_121
| ~ spl0_129 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s149,plain,
( ~ spl0_105
| spl0_129
| ~ spl0_131 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s151,plain,
spl0_131,
inference(sat_conversion,[],[f1067]) ).
cnf(s154,plain,
( spl0_32
| ~ spl0_64
| ~ spl0_74 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s156,plain,
( ~ spl0_19
| ~ spl0_47
| spl0_64
| ~ spl0_65 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s158,plain,
( ~ spl0_16
| ~ spl0_74 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s159,plain,
( ~ spl0_105
| spl0_129 ),
inference(rat,[],[s149,s151]) ).
cnf(s160,plain,
( ~ spl0_105
| spl0_117 ),
inference(rat,[],[s119,s120]) ).
cnf(s161,plain,
( spl0_23
| ~ spl0_105 ),
inference(rat,[],[s107,s108]) ).
cnf(s162,plain,
( spl0_98
| ~ spl0_105 ),
inference(rat,[],[s100,s101]) ).
cnf(s163,plain,
( spl0_96
| ~ spl0_105 ),
inference(rat,[],[s93,s94]) ).
cnf(s164,plain,
spl0_129,
inference(rat,[],[s159,s90]) ).
cnf(s165,plain,
spl0_117,
inference(rat,[],[s160,s90]) ).
cnf(s166,plain,
spl0_23,
inference(rat,[],[s161,s90]) ).
cnf(s167,plain,
spl0_98,
inference(rat,[],[s162,s90]) ).
cnf(s168,plain,
spl0_96,
inference(rat,[],[s163,s90]) ).
cnf(s172,plain,
( ~ spl0_36
| ~ spl0_82 ),
inference(rat,[],[s73,s168]) ).
cnf(s173,plain,
~ spl0_42,
inference(rat,[],[s102,s167,s54]) ).
cnf(s176,plain,
~ spl0_36,
inference(rat,[],[s172,s54]) ).
cnf(s179,plain,
~ spl0_16,
inference(rat,[],[s158,s47]) ).
cnf(s180,plain,
spl0_121,
inference(rat,[],[s147,s164,s47]) ).
cnf(s181,plain,
spl0_127,
inference(rat,[],[s145,s47]) ).
cnf(s182,plain,
spl0_87,
inference(rat,[],[s118,s165,s47]) ).
cnf(s183,plain,
spl0_65,
inference(rat,[],[s52,s47]) ).
cnf(s185,plain,
( ~ spl0_9
| spl0_50
| ~ spl0_66 ),
inference(rat,[],[s41,s45]) ).
cnf(s187,plain,
( ~ spl0_7
| ~ spl0_46
| spl0_63 ),
inference(rat,[],[s39,s166]) ).
cnf(s189,plain,
( ~ spl0_5
| spl0_41 ),
inference(rat,[],[s29,s37,s173]) ).
cnf(s191,plain,
( ~ spl0_11
| spl0_35 ),
inference(rat,[],[s24,s27,s176]) ).
cnf(s195,plain,
spl0_15,
inference(rat,[],[s8,s17]) ).
cnf(s196,plain,
spl0_13,
inference(rat,[],[s7,s16]) ).
cnf(s197,plain,
spl0_11,
inference(rat,[],[s6,s15]) ).
cnf(s198,plain,
spl0_35,
inference(rat,[],[s191,s197]) ).
cnf(s199,plain,
spl0_66,
inference(rat,[],[s111,s54,s198]) ).
cnf(s201,plain,
spl0_9,
inference(rat,[],[s5,s14]) ).
cnf(s202,plain,
spl0_50,
inference(rat,[],[s185,s199,s201]) ).
cnf(s203,plain,
spl0_86,
inference(rat,[],[s114,s54,s202]) ).
cnf(s205,plain,
spl0_5,
inference(rat,[],[s3,s13]) ).
cnf(s206,plain,
spl0_41,
inference(rat,[],[s189,s205]) ).
cnf(s207,plain,
spl0_85,
inference(rat,[],[s110,s54,s206]) ).
cnf(s209,plain,
spl0_59,
inference(rat,[],[s76,s203,s195,s28,s207]) ).
cnf(s210,plain,
spl0_88,
inference(rat,[],[s115,s54,s209]) ).
cnf(s211,plain,
spl0_97,
inference(rat,[],[s116,s90,s210]) ).
cnf(s212,plain,
spl0_93,
inference(rat,[],[s77,s47,s211]) ).
cnf(s213,plain,
spl0_53,
inference(rat,[],[s74,s196,s182,s26,s212]) ).
cnf(s214,plain,
~ spl0_90,
inference(rat,[],[s127,s47,s213]) ).
cnf(s215,plain,
~ spl0_32,
inference(rat,[],[s126,s213]) ).
cnf(s218,plain,
~ spl0_63,
inference(rat,[],[s125,s90,s214]) ).
cnf(s219,plain,
~ spl0_64,
inference(rat,[],[s154,s47,s215]) ).
cnf(s221,plain,
~ spl0_7,
inference(rat,[],[s187,s36,s218]) ).
cnf(s223,plain,
spl0_2,
inference(rat,[],[s11,s9,s221]) ).
cnf(s224,plain,
~ spl0_3,
inference(rat,[],[s2,s223]) ).
cnf(s225,plain,
spl0_19,
inference(rat,[],[s130,s18,s224]) ).
cnf(s226,plain,
~ spl0_47,
inference(rat,[],[s156,s183,s219,s225]) ).
cnf(s228,plain,
~ spl0_116,
inference(rat,[],[s113,s47,s226]) ).
cnf(s230,plain,
~ spl0_17,
inference(rat,[],[s140,s181,s180,s228]) ).
cnf(s231,plain,
spl0_1,
inference(rat,[],[s129,s179,s230]) ).
cnf(s232,plain,
$false,
inference(rat,[],[s1,s223,s231]) ).
fof(f1075,plain,
$false,
inference(avatar_sat_refutation,[],[s232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV006-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:55:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.83/1.26 % (2161508)Input is clausal, will run a generic CNF schedule.
% 2.83/1.26 % (2161515)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3349497324:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.83/1.26 % (2161519)dis-21_1_sil=8000:lcm=predicate:random_seed=2150126206: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)
% 2.83/1.26 % (2161514)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4056204257:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.83/1.26 % (2161516)lrs+10_1_sil=8000:sp=occurrence:random_seed=3930305354:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.83/1.26 % (2161513)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=2990221103:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.83/1.26 % (2161517)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2892047396:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.83/1.26 % (2161518)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4094735826:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.83/1.26 % (2161517)Refutation not found, incomplete strategy
% 2.83/1.26 % (2161517)------------------------------
% 2.83/1.26 % (2161517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.26 % (2161517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.26 % (2161517)CaDiCaL version: 2.1.3
% 2.83/1.26 % (2161517)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.26 % (2161517)Time elapsed: 0.003 s
% 2.83/1.26 % (2161517)Peak memory usage: 88 MB
% 2.83/1.26 % (2161517)Instructions burned: 3 (million)
% 2.83/1.26 % (2161519)First to succeed.
% 2.83/1.26 % (2161516)Refutation not found, incomplete strategy
% 2.83/1.26 % (2161516)------------------------------
% 2.83/1.26 % (2161516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.26 % (2161516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.26 % (2161516)CaDiCaL version: 2.1.3
% 2.83/1.26 % (2161516)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.26 % (2161516)Time elapsed: 0.007 s
% 2.83/1.26 % (2161516)Peak memory usage: 88 MB
% 2.83/1.26 % (2161516)Instructions burned: 9 (million)
% 2.83/1.26 % (2161519)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2161508"
% 2.83/1.26 % (2161518)Instruction limit reached!
% 2.83/1.26 % (2161518)------------------------------
% 2.83/1.26 % (2161518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.26 % (2161518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.26 % (2161518)CaDiCaL version: 2.1.3
% 2.83/1.26 % (2161518)Termination reason: Instruction limit
% 2.83/1.26 % (2161518)Termination phase: Saturation
% 2.83/1.26 % (2161518)Time elapsed: 0.116 s
% 2.83/1.26 % (2161518)Peak memory usage: 90 MB
% 2.83/1.26 % (2161518)Instructions burned: 181 (million)
% 2.83/1.26 % (2161517)------------------------------
% 2.83/1.26 % (2161517)------------------------------
% 2.83/1.26 % (2161516)------------------------------
% 2.83/1.26 % (2161516)------------------------------
% 2.83/1.26 % (2161527)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1306487256:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.83/1.26 % (2161527)Refutation not found, incomplete strategy
% 2.83/1.26 % (2161527)------------------------------
% 2.83/1.26 % (2161527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.26 % (2161527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.26 % (2161527)CaDiCaL version: 2.1.3
% 2.83/1.26 % (2161527)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.26 % (2161527)Time elapsed: 0.007 s
% 2.83/1.26 % (2161527)Peak memory usage: 88 MB
% 2.83/1.26 % (2161527)Instructions burned: 8 (million)
% 2.83/1.26 % (2161519)Refutation found. Thanks to Tanya!
% 2.83/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.83/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.45 % (2161519)------------------------------
% 3.51/1.45 % (2161519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.45 % (2161519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.45 % (2161519)CaDiCaL version: 2.1.3
% 3.51/1.45 % (2161519)Termination reason: Refutation
% 3.51/1.45 % (2161519)Time elapsed: 0.019 s
% 3.51/1.45 % (2161519)Peak memory usage: 89 MB
% 3.51/1.45 % (2161519)Instructions burned: 26 (million)
% 3.51/1.45 % (2161519)------------------------------
% 3.51/1.45 % (2161519)------------------------------
% 3.51/1.45 % (2161508)Success in time 0.414 s
% 3.51/1.45 % Vampire exiting
%------------------------------------------------------------------------------