%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV008-1.002 : TPTP v9.3.1. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 3.71s 1.43s
% Output : Refutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 45
% Syntax : Number of formulae : 167 ( 29 unt; 15 def)
% Number of atoms : 424 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 493 ( 236 ~; 242 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 21 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( value(X1,X2)
| ~ value(X0,X2)
| ~ connection(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation1) ).
fof(f2,axiom,
! [X2,X0,X1] :
( value(X0,X2)
| ~ value(X1,X2)
| ~ connection(X0,X1) ),
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,ok)
| ~ type(X0,X1)
| mode(X0,abnormal) ),
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(f11,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(out(n1,X0),n1)
| value(in(n1,X0),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1_1x) ).
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/sandbox/benchmark/theBenchmark.p',or_1_11) ).
fof(f23,axiom,
! [X0] :
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and2) ).
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(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(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(f39,axiom,
! [X0] :
( connection(out(c,h1(X0)),in(n2,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).
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(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(f47,axiom,
! [X0] :
( type(f(n2,X0),fulladder)
| ~ type(X0,nbit_adder(n2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_fulladder2) ).
fof(f50,axiom,
! [X0] :
( connection(out(c,X0),out(c,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).
fof(f53,axiom,
! [X0] :
( connection(in(a2,X0),in(n1,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_ina2_in1f2) ).
fof(f54,axiom,
! [X0] :
( connection(in(b2,X0),in(n2,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inb2_in2f2) ).
fof(f57,axiom,
type(a,nbit_adder(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_isa_2bit_adder) ).
fof(f59,axiom,
value(in(a2,a),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ina2_0) ).
fof(f61,axiom,
value(in(b2,a),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inb2_0) ).
fof(f65,axiom,
value(out(c,a),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_1) ).
fof(f66,negated_conjecture,
~ mode(or1(f(n2,a)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1f2a) ).
fof(f67,negated_conjecture,
~ mode(and2(h1(f(n2,a))),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h2f2a) ).
fof(f68,negated_conjecture,
~ mode(and2(h2(f(n2,a))),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1f2a) ).
fof(f69,plain,
! [X0] :
( ~ value(X0,n1)
| ~ value(X0,n0) ),
inference(resolution,[],[f3,f4]) ).
fof(f72,plain,
! [X0,X1] :
( ~ value(X1,n1)
| ~ value(X0,n0)
| ~ connection(X0,X1) ),
inference(resolution,[],[f69,f2]) ).
fof(f139,definition,
( spl0_9
<=> type(f(n2,a),fulladder) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f141,plain,
( ~ type(f(n2,a),fulladder)
| spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ type(X0,and)
| ~ value(in(X1,X0),n0)
| value(out(n1,X0),n0)
| ~ type(X0,X2)
| mode(X0,abnormal) ),
inference(resolution,[],[f8,f7]) ).
fof(f172,plain,
! [X0,X1] :
( ~ value(out(n1,X0),n1)
| ~ type(X0,and)
| value(in(n1,X0),n1)
| ~ type(X0,X1)
| mode(X0,abnormal) ),
inference(resolution,[],[f11,f7]) ).
fof(f223,plain,
! [X0,X1] :
( ~ value(out(n1,X0),n1)
| ~ type(X0,or)
| value(in(n1,X0),n1)
| value(in(n2,X0),n1)
| ~ type(X0,X1)
| mode(X0,abnormal) ),
inference(resolution,[],[f15,f7]) ).
fof(f229,plain,
! [X0,X1] :
( ~ type(X0,and)
| ~ value(in(X1,X0),n0)
| value(out(n1,X0),n0)
| mode(X0,abnormal) ),
inference(factoring,[],[f171]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ type(X0,and)
| value(in(n1,X0),n1)
| ~ type(X0,X1)
| mode(X0,abnormal)
| ~ value(X2,n1)
| ~ connection(X2,out(n1,X0)) ),
inference(resolution,[],[f172,f1]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ type(X0,or)
| value(in(n1,X0),n1)
| value(in(n2,X0),n1)
| ~ type(X0,X1)
| mode(X0,abnormal)
| ~ value(X2,n1)
| ~ connection(X2,out(n1,X0)) ),
inference(resolution,[],[f223,f1]) ).
fof(f267,plain,
! [X0,X1] :
( value(out(n1,and2(X1)),n0)
| ~ value(in(X0,and2(X1)),n0)
| mode(and2(X1),abnormal)
| ~ type(X1,halfadder) ),
inference(resolution,[],[f229,f23]) ).
fof(f298,plain,
! [X0,X1] :
( ~ type(X0,and)
| value(in(n1,X0),n1)
| mode(X0,abnormal)
| ~ value(X1,n1)
| ~ connection(X1,out(n1,X0)) ),
inference(factoring,[],[f235]) ).
fof(f358,plain,
! [X0,X1] :
( ~ type(X0,or)
| value(in(n1,X0),n1)
| value(in(n2,X0),n1)
| mode(X0,abnormal)
| ~ value(X1,n1)
| ~ connection(X1,out(n1,X0)) ),
inference(factoring,[],[f262]) ).
fof(f380,plain,
( ~ type(a,nbit_adder(n2))
| spl0_9 ),
inference(resolution,[],[f141,f47]) ).
fof(f381,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f380,f57]) ).
fof(f382,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f416,definition,
( spl0_29
<=> value(in(n2,or1(f(n2,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f417,plain,
( ~ value(in(n2,or1(f(n2,a))),n1)
| spl0_29 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f420,definition,
( spl0_30
<=> value(in(n1,or1(f(n2,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f451,plain,
! [X0,X1] :
( ~ connection(X1,out(n1,and2(X0)))
| mode(and2(X0),abnormal)
| ~ value(X1,n1)
| value(in(n1,and2(X0)),n1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f298,f23]) ).
fof(f628,plain,
! [X0,X1] :
( ~ connection(X1,out(n1,or1(X0)))
| value(in(n2,or1(X0)),n1)
| mode(or1(X0),abnormal)
| ~ value(X1,n1)
| value(in(n1,or1(X0)),n1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f358,f37]) ).
fof(f643,definition,
( spl0_56
<=> value(out(c,h2(f(n2,a))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f645,plain,
( ~ value(out(c,h2(f(n2,a))),n0)
| spl0_56 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f648,plain,
( ! [X0] :
( ~ connection(out(c,h2(f(n2,a))),X0)
| ~ value(X0,n0) )
| spl0_56 ),
inference(resolution,[],[f645,f2]) ).
fof(f679,plain,
( ~ value(out(n1,and2(h2(f(n2,a)))),n0)
| ~ type(h2(f(n2,a)),halfadder)
| spl0_56 ),
inference(resolution,[],[f648,f31]) ).
fof(f702,definition,
( spl0_63
<=> type(h2(f(n2,a)),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f703,plain,
( type(h2(f(n2,a)),halfadder)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f704,plain,
( ~ type(h2(f(n2,a)),halfadder)
| spl0_63 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f706,definition,
( spl0_64
<=> value(out(n1,and2(h2(f(n2,a)))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f708,plain,
( ~ value(out(n1,and2(h2(f(n2,a)))),n0)
| spl0_64 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f709,plain,
( ~ spl0_63
| ~ spl0_64
| spl0_56 ),
inference(avatar_split_clause,[],[f679,f643,f706,f702]) ).
fof(f726,definition,
( spl0_66
<=> ! [X0] : ~ value(in(X0,and2(h2(f(n2,a)))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f727,plain,
( ! [X0] : ~ value(in(X0,and2(h2(f(n2,a)))),n0)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f730,plain,
( ~ type(f(n2,a),fulladder)
| spl0_63 ),
inference(resolution,[],[f704,f36]) ).
fof(f731,plain,
( ~ spl0_9
| spl0_63 ),
inference(avatar_split_clause,[],[f730,f702,f139]) ).
fof(f762,definition,
( spl0_71
<=> type(h1(f(n2,a)),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f763,plain,
( type(h1(f(n2,a)),halfadder)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f764,plain,
( ~ type(h1(f(n2,a)),halfadder)
| spl0_71 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f797,plain,
( ~ type(f(n2,a),fulladder)
| spl0_71 ),
inference(resolution,[],[f764,f35]) ).
fof(f798,plain,
( ~ spl0_9
| spl0_71 ),
inference(avatar_split_clause,[],[f797,f762,f139]) ).
fof(f851,plain,
( ! [X0] :
( ~ value(in(X0,and2(h2(f(n2,a)))),n0)
| mode(and2(h2(f(n2,a))),abnormal)
| ~ type(h2(f(n2,a)),halfadder) )
| spl0_64 ),
inference(resolution,[],[f708,f267]) ).
fof(f856,plain,
( ! [X0] :
( ~ value(in(X0,and2(h2(f(n2,a)))),n0)
| ~ type(h2(f(n2,a)),halfadder) )
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f851,f68]) ).
fof(f858,plain,
( ! [X0] : ~ value(in(X0,and2(h2(f(n2,a)))),n0)
| ~ spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f856,f703]) ).
fof(f860,plain,
( spl0_66
| ~ spl0_63
| spl0_64 ),
inference(avatar_split_clause,[],[f858,f706,f702,f726]) ).
fof(f869,plain,
( ! [X0,X1] :
( ~ connection(X0,in(X1,and2(h2(f(n2,a)))))
| ~ value(X0,n0) )
| ~ spl0_66 ),
inference(resolution,[],[f727,f1]) ).
fof(f893,plain,
! [X0] :
( mode(and2(X0),abnormal)
| ~ value(out(c,X0),n1)
| value(in(n1,and2(X0)),n1)
| ~ type(X0,halfadder)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f451,f31]) ).
fof(f894,plain,
! [X0] :
( mode(and2(X0),abnormal)
| ~ value(out(c,X0),n1)
| value(in(n1,and2(X0)),n1)
| ~ type(X0,halfadder) ),
inference(duplicate_literal_removal,[],[f893]) ).
fof(f945,definition,
( spl0_83
<=> value(out(c,h1(f(n2,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f947,plain,
( ~ value(out(c,h1(f(n2,a))),n1)
| spl0_83 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f951,plain,
( ! [X0] :
( ~ connection(out(c,h1(f(n2,a))),X0)
| ~ value(X0,n1) )
| spl0_83 ),
inference(resolution,[],[f947,f2]) ).
fof(f964,plain,
( ~ value(in(n2,or1(f(n2,a))),n1)
| ~ type(f(n2,a),fulladder)
| spl0_83 ),
inference(resolution,[],[f951,f39]) ).
fof(f1119,plain,
! [X0] :
( value(in(n2,or1(X0)),n1)
| mode(or1(X0),abnormal)
| ~ value(out(c,X0),n1)
| value(in(n1,or1(X0)),n1)
| ~ type(X0,fulladder)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f628,f45]) ).
fof(f1120,plain,
! [X0] :
( mode(or1(X0),abnormal)
| value(in(n2,or1(X0)),n1)
| ~ value(out(c,X0),n1)
| value(in(n1,or1(X0)),n1)
| ~ type(X0,fulladder) ),
inference(duplicate_literal_removal,[],[f1119]) ).
fof(f1345,plain,
( ~ value(out(c,h1(f(n2,a))),n1)
| value(in(n1,and2(h1(f(n2,a)))),n1)
| ~ type(h1(f(n2,a)),halfadder) ),
inference(resolution,[],[f894,f67]) ).
fof(f1350,definition,
( spl0_136
<=> value(out(c,h2(f(n2,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1351,plain,
( value(out(c,h2(f(n2,a))),n1)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1352,plain,
( ~ value(out(c,h2(f(n2,a))),n1)
| spl0_136 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1354,plain,
( ! [X0] :
( ~ connection(out(c,h2(f(n2,a))),X0)
| ~ value(X0,n1) )
| spl0_136 ),
inference(resolution,[],[f1352,f2]) ).
fof(f1362,plain,
( ~ value(in(n1,or1(f(n2,a))),n1)
| ~ type(f(n2,a),fulladder)
| spl0_136 ),
inference(resolution,[],[f1354,f40]) ).
fof(f1372,definition,
( spl0_138
<=> value(out(c,f(n2,a)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f1374,plain,
( ~ value(out(c,f(n2,a)),n1)
| spl0_138 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1377,plain,
( ~ spl0_9
| ~ spl0_30
| spl0_136 ),
inference(avatar_split_clause,[],[f1362,f1350,f420,f139]) ).
fof(f1378,plain,
( ~ spl0_9
| ~ spl0_29
| spl0_83 ),
inference(avatar_split_clause,[],[f964,f945,f416,f139]) ).
fof(f1379,plain,
( ~ value(out(c,h1(f(n2,a))),n1)
| value(in(n1,and2(h1(f(n2,a)))),n1)
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f1345,f763]) ).
fof(f1382,definition,
( spl0_139
<=> value(in(n1,and2(h1(f(n2,a)))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f1384,plain,
( value(in(n1,and2(h1(f(n2,a)))),n1)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1385,plain,
( spl0_139
| ~ spl0_83
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f1379,f762,f945,f1382]) ).
fof(f1521,plain,
( ~ value(out(c,h2(f(n2,a))),n0)
| ~ spl0_136 ),
inference(resolution,[],[f1351,f69]) ).
fof(f1636,plain,
( value(in(n2,or1(f(n2,a))),n1)
| ~ value(out(c,f(n2,a)),n1)
| value(in(n1,or1(f(n2,a))),n1)
| ~ type(f(n2,a),fulladder) ),
inference(resolution,[],[f1120,f66]) ).
fof(f1835,plain,
( ! [X0] :
( ~ connection(X0,in(n1,and2(h1(f(n2,a)))))
| ~ value(X0,n0) )
| ~ spl0_139 ),
inference(resolution,[],[f1384,f72]) ).
fof(f1901,plain,
( ~ value(in(n1,h1(f(n2,a))),n0)
| ~ type(h1(f(n2,a)),halfadder)
| ~ spl0_139 ),
inference(resolution,[],[f1835,f28]) ).
fof(f1902,plain,
( ~ value(in(n1,h1(f(n2,a))),n0)
| ~ spl0_71
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1901,f763]) ).
fof(f1906,plain,
( ! [X0] :
( ~ connection(X0,in(n1,h1(f(n2,a))))
| ~ value(X0,n0) )
| ~ spl0_71
| ~ spl0_139 ),
inference(resolution,[],[f1902,f1]) ).
fof(f2004,plain,
( ~ value(in(n2,f(n2,a)),n0)
| ~ type(f(n2,a),fulladder)
| ~ spl0_71
| ~ spl0_139 ),
inference(resolution,[],[f1906,f42]) ).
fof(f2006,definition,
( spl0_173
<=> value(in(n2,f(n2,a)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f2008,plain,
( ~ value(in(n2,f(n2,a)),n0)
| spl0_173 ),
inference(avatar_component_clause,[],[f2006]) ).
fof(f2009,plain,
( ~ spl0_9
| ~ spl0_173
| ~ spl0_71
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2004,f1382,f762,f2006,f139]) ).
fof(f2017,plain,
( ! [X0] :
( ~ connection(X0,in(n2,f(n2,a)))
| ~ value(X0,n0) )
| spl0_173 ),
inference(resolution,[],[f2008,f1]) ).
fof(f2032,definition,
( spl0_177
<=> value(in(n1,f(n2,a)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
fof(f2033,plain,
( ~ value(in(n1,f(n2,a)),n0)
| spl0_177 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f2114,plain,
( ~ value(in(b2,a),n0)
| ~ type(a,nbit_adder(n2))
| spl0_173 ),
inference(resolution,[],[f2017,f54]) ).
fof(f2115,plain,
( ~ type(a,nbit_adder(n2))
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f2114,f61]) ).
fof(f2116,plain,
( $false
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f2115,f57]) ).
fof(f2117,plain,
spl0_173,
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2213,plain,
( ~ value(out(c,f(n2,a)),n1)
| value(in(n1,or1(f(n2,a))),n1)
| ~ type(f(n2,a),fulladder)
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f1636,f417]) ).
fof(f2216,plain,
( ~ spl0_9
| spl0_30
| ~ spl0_138
| spl0_29 ),
inference(avatar_split_clause,[],[f2213,f416,f1372,f420,f139]) ).
fof(f2220,plain,
( ! [X0] :
( ~ connection(X0,out(c,f(n2,a)))
| ~ value(X0,n1) )
| spl0_138 ),
inference(resolution,[],[f1374,f1]) ).
fof(f2234,plain,
( ~ value(out(c,a),n1)
| ~ type(a,nbit_adder(n2))
| spl0_138 ),
inference(resolution,[],[f2220,f50]) ).
fof(f2235,plain,
( ~ type(a,nbit_adder(n2))
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f2234,f65]) ).
fof(f2236,plain,
( $false
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f2235,f57]) ).
fof(f2237,plain,
spl0_138,
inference(avatar_contradiction_clause,[],[f2236]) ).
fof(f3119,plain,
( ~ value(in(n1,h2(f(n2,a))),n0)
| ~ type(h2(f(n2,a)),halfadder)
| ~ spl0_66 ),
inference(resolution,[],[f869,f28]) ).
fof(f3122,plain,
( ~ value(in(n1,h2(f(n2,a))),n0)
| ~ spl0_63
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f3119,f703]) ).
fof(f3141,definition,
( spl0_261
<=> value(in(n1,h2(f(n2,a))),n0) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
fof(f3142,plain,
( ~ value(in(n1,h2(f(n2,a))),n0)
| spl0_261 ),
inference(avatar_component_clause,[],[f3141]) ).
fof(f3218,plain,
( ~ spl0_261
| ~ spl0_63
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f3122,f726,f702,f3141]) ).
fof(f3231,plain,
( ! [X0] :
( ~ connection(X0,in(n1,h2(f(n2,a))))
| ~ value(X0,n0) )
| spl0_261 ),
inference(resolution,[],[f3142,f1]) ).
fof(f3324,plain,
( ~ value(in(n1,f(n2,a)),n0)
| ~ type(f(n2,a),fulladder)
| spl0_261 ),
inference(resolution,[],[f3231,f41]) ).
fof(f3325,plain,
( ~ spl0_9
| ~ spl0_177
| spl0_261 ),
inference(avatar_split_clause,[],[f3324,f3141,f2032,f139]) ).
fof(f3333,plain,
( ! [X0] :
( ~ connection(X0,in(n1,f(n2,a)))
| ~ value(X0,n0) )
| spl0_177 ),
inference(resolution,[],[f2033,f1]) ).
fof(f3360,plain,
( ~ value(in(a2,a),n0)
| ~ type(a,nbit_adder(n2))
| spl0_177 ),
inference(resolution,[],[f3333,f53]) ).
fof(f3361,plain,
( ~ type(a,nbit_adder(n2))
| spl0_177 ),
inference(forward_subsumption_resolution,[],[f3360,f59]) ).
fof(f3362,plain,
( $false
| spl0_177 ),
inference(forward_subsumption_resolution,[],[f3361,f57]) ).
fof(f3363,plain,
spl0_177,
inference(avatar_contradiction_clause,[],[f3362]) ).
fof(f3372,plain,
( ~ spl0_56
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1521,f1350,f643]) ).
cnf(s14,plain,
spl0_9,
inference(sat_conversion,[],[f382]) ).
cnf(s48,plain,
( spl0_56
| ~ spl0_63
| ~ spl0_64 ),
inference(sat_conversion,[],[f709]) ).
cnf(s51,plain,
( ~ spl0_9
| spl0_63 ),
inference(sat_conversion,[],[f731]) ).
cnf(s57,plain,
( ~ spl0_9
| spl0_71 ),
inference(sat_conversion,[],[f798]) ).
cnf(s67,plain,
( ~ spl0_63
| spl0_64
| spl0_66 ),
inference(sat_conversion,[],[f860]) ).
cnf(s128,plain,
( ~ spl0_9
| ~ spl0_30
| spl0_136 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s129,plain,
( ~ spl0_9
| ~ spl0_29
| spl0_83 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s130,plain,
( ~ spl0_71
| ~ spl0_83
| spl0_139 ),
inference(sat_conversion,[],[f1385]) ).
cnf(s204,plain,
( ~ spl0_9
| ~ spl0_71
| ~ spl0_139
| ~ spl0_173 ),
inference(sat_conversion,[],[f2009]) ).
cnf(s215,plain,
spl0_173,
inference(sat_conversion,[],[f2117]) ).
cnf(s239,plain,
( ~ spl0_9
| spl0_29
| spl0_30
| ~ spl0_138 ),
inference(sat_conversion,[],[f2216]) ).
cnf(s246,plain,
spl0_138,
inference(sat_conversion,[],[f2237]) ).
cnf(s326,plain,
( ~ spl0_63
| ~ spl0_66
| ~ spl0_261 ),
inference(sat_conversion,[],[f3218]) ).
cnf(s330,plain,
( ~ spl0_9
| ~ spl0_177
| spl0_261 ),
inference(sat_conversion,[],[f3325]) ).
cnf(s332,plain,
spl0_177,
inference(sat_conversion,[],[f3363]) ).
cnf(s334,plain,
( ~ spl0_56
| ~ spl0_136 ),
inference(sat_conversion,[],[f3372]) ).
cnf(s370,plain,
( ~ spl0_9
| spl0_261 ),
inference(rat,[],[s330,s332]) ).
cnf(s373,plain,
( ~ spl0_9
| spl0_29
| spl0_30 ),
inference(rat,[],[s239,s246]) ).
cnf(s374,plain,
( ~ spl0_9
| ~ spl0_71
| ~ spl0_139 ),
inference(rat,[],[s204,s215]) ).
cnf(s376,plain,
spl0_261,
inference(rat,[],[s370,s14]) ).
cnf(s378,plain,
spl0_71,
inference(rat,[],[s57,s14]) ).
cnf(s379,plain,
spl0_63,
inference(rat,[],[s51,s14]) ).
cnf(s384,plain,
~ spl0_139,
inference(rat,[],[s374,s14,s378]) ).
cnf(s387,plain,
~ spl0_83,
inference(rat,[],[s130,s384,s378]) ).
cnf(s388,plain,
~ spl0_66,
inference(rat,[],[s326,s376,s379]) ).
cnf(s392,plain,
spl0_64,
inference(rat,[],[s67,s388,s379]) ).
cnf(s393,plain,
spl0_56,
inference(rat,[],[s48,s392,s379]) ).
cnf(s401,plain,
~ spl0_29,
inference(rat,[],[s129,s14,s387]) ).
cnf(s404,plain,
~ spl0_136,
inference(rat,[],[s334,s393]) ).
cnf(s406,plain,
spl0_30,
inference(rat,[],[s373,s14,s401]) ).
cnf(s408,plain,
$false,
inference(rat,[],[s128,s14,s404,s406]) ).
fof(f3448,plain,
$false,
inference(avatar_sat_refutation,[],[s408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV008-1.002 : TPTP v9.3.1. Bugfixed v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:52:52 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.71/1.43 % (3341927)Input is clausal, will run a generic CNF schedule.
% 3.71/1.43 % (3342029)lrs+10_1_sil=8000:sp=occurrence:random_seed=585607891:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.71/1.43 % (3342029)Refutation not found, incomplete strategy
% 3.71/1.43 % (3342029)------------------------------
% 3.71/1.43 % (3342029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.43 % (3342029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.43 % (3342029)CaDiCaL version: 2.1.3
% 3.71/1.43 % (3342029)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.43 % (3342029)Time elapsed: 0.008 s
% 3.71/1.43 % (3342029)Peak memory usage: 88 MB
% 3.71/1.43 % (3342029)Instructions burned: 17 (million)
% 3.71/1.43 % (3342028)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1536547080:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.71/1.43 % (3342027)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1030271743:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.71/1.43 % (3342030)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3359735579:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.71/1.43 % (3342032)dis-21_1_sil=8000:lcm=predicate:random_seed=4201698040: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)
% 3.71/1.43 % (3342030)Refutation not found, incomplete strategy
% 3.71/1.43 % (3342030)------------------------------
% 3.71/1.43 % (3342030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.43 % (3342030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.43 % (3342030)CaDiCaL version: 2.1.3
% 3.71/1.43 % (3342030)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.43 % (3342030)Time elapsed: 0.003 s
% 3.71/1.43 % (3342030)Peak memory usage: 87 MB
% 3.71/1.43 % (3342030)Instructions burned: 3 (million)
% 3.71/1.43 % (3342032)Refutation not found, incomplete strategy
% 3.71/1.43 % (3342032)------------------------------
% 3.71/1.43 % (3342032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.43 % (3342032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.43 % (3342032)CaDiCaL version: 2.1.3
% 3.71/1.43 % (3342032)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.43 % (3342032)Time elapsed: 0.013 s
% 3.71/1.43 % (3342032)Peak memory usage: 88 MB
% 3.71/1.43 % (3342032)Instructions burned: 17 (million)
% 3.71/1.43 % (3342026)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=4053374552:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.71/1.43 % (3342031)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3718572346:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.71/1.43 % (3342031)First to succeed.
% 3.71/1.43 % (3342031)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3341927"
% 3.71/1.43 % (3342029)------------------------------
% 3.71/1.43 % (3342029)------------------------------
% 3.71/1.43 % (3342030)------------------------------
% 3.71/1.43 % (3342030)------------------------------
% 3.71/1.43 % (3342032)------------------------------
% 3.71/1.43 % (3342032)------------------------------
% 3.71/1.43 % (3342068)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=824628968:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 3.71/1.43 % (3342068)Refutation not found, incomplete strategy
% 3.71/1.43 % (3342068)------------------------------
% 3.71/1.43 % (3342068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.43 % (3342068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.43 % (3342068)CaDiCaL version: 2.1.3
% 3.71/1.43 % (3342068)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.43 % (3342068)Time elapsed: 0.011 s
% 3.71/1.43 % (3342068)Peak memory usage: 88 MB
% 3.71/1.43 % (3342068)Instructions burned: 15 (million)
% 3.71/1.43 % (3342031)Refutation found. Thanks to Tanya!
% 3.71/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.71/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 4.37/1.53 % (3342031)------------------------------
% 4.37/1.53 % (3342031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.53 % (3342031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.53 % (3342031)CaDiCaL version: 2.1.3
% 4.37/1.53 % (3342031)Termination reason: Refutation
% 4.37/1.53 % (3342031)Time elapsed: 0.108 s
% 4.37/1.53 % (3342031)Peak memory usage: 90 MB
% 4.37/1.53 % (3342031)Instructions burned: 128 (million)
% 4.37/1.53 % (3342031)------------------------------
% 4.37/1.53 % (3342031)------------------------------
% 4.37/1.53 % (3341927)Success in time 0.55 s
% 4.37/1.53 % Vampire exiting
%------------------------------------------------------------------------------