%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV008-1.001 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 10:58:54 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 43
% Syntax : Number of formulae : 174 ( 30 unt; 14 def)
% Number of atoms : 416 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 468 ( 226 ~; 228 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 20 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ value(X0,X2)
| ~ connection(X0,X1)
| value(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation1) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ value(X1,X2)
| ~ connection(X0,X1)
| value(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ value(X0,X2)
| ~ value(X0,X1)
| equal_value(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',unique_value) ).
fof(f5,axiom,
~ equal_value(n1,n0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',equal_value2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ type(X0,X1)
| mode(X0,ok)
| mode(X0,abnormal) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',ok_or_abnormal) ).
fof(f11,axiom,
! [X0] :
( ~ value(out(n1,X0),n1)
| ~ type(X0,and)
| ~ mode(X0,ok)
| value(in(n1,X0),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_1_1x) ).
fof(f15,axiom,
! [X0] :
( ~ value(out(n1,X0),n1)
| ~ type(X0,or)
| ~ mode(X0,ok)
| value(in(n1,X0),n1)
| value(in(n2,X0),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',or_1_11) ).
fof(f23,axiom,
! [X0] :
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_and2) ).
fof(f28,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1and2) ).
fof(f31,axiom,
! [X0] :
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outc_out1and2) ).
fof(f35,axiom,
! [X0] :
( type(h1(X0),halfadder)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder1) ).
fof(f36,axiom,
! [X0] :
( type(h2(X0),halfadder)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder2) ).
fof(f37,axiom,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_or1) ).
fof(f39,axiom,
! [X0] :
( connection(out(c,h1(X0)),in(n2,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',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/Axioms/HWV001-2.ax',fulladder_connection_outch2_in1or1) ).
fof(f41,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,h2(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in1_in1h2) ).
fof(f42,axiom,
! [X0] :
( connection(in(n2,X0),in(n1,h1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in2_in1h1) ).
fof(f45,axiom,
! [X0] :
( connection(out(c,X0),out(n1,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outc_out1or1) ).
fof(f46,axiom,
! [X0] :
( type(v(n1,X0),fulladder)
| ~ type(X0,nbit_adder(n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_fulladder1) ).
fof(f48,axiom,
! [X0] :
( connection(out(c,X0),out(c,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcv1) ).
fof(f49,axiom,
! [X0] :
( connection(in(a1,X0),in(n1,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_ina1_in1v1) ).
fof(f50,axiom,
! [X0] :
( connection(in(b1,X0),in(n2,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inb1_in2v1) ).
fof(f52,axiom,
type(a,nbit_adder(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_isa_1bit_adder) ).
fof(f53,axiom,
value(in(a1,a),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ina1_0) ).
fof(f54,axiom,
value(in(b1,a),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inb1_0) ).
fof(f57,axiom,
value(out(c,a),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
fof(f58,negated_conjecture,
~ mode(or1(v(n1,a)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1v1) ).
fof(f59,negated_conjecture,
~ mode(and2(h1(v(n1,a))),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1v1) ).
fof(f60,negated_conjecture,
~ mode(and2(h2(v(n1,a))),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h2v1) ).
fof(f61,plain,
! [X0] :
( ~ connection(in(a1,a),X0)
| value(X0,n0) ),
inference(resolution,[],[f1,f53]) ).
fof(f62,plain,
! [X0] :
( ~ connection(in(b1,a),X0)
| value(X0,n0) ),
inference(resolution,[],[f1,f54]) ).
fof(f65,plain,
! [X0] :
( ~ connection(out(c,a),X0)
| value(X0,n1) ),
inference(resolution,[],[f1,f57]) ).
fof(f77,plain,
! [X0] :
( mode(and2(X0),abnormal)
| mode(and2(X0),ok)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f7,f23]) ).
fof(f79,plain,
! [X0] :
( mode(or1(X0),abnormal)
| mode(or1(X0),ok)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f7,f37]) ).
fof(f121,plain,
( mode(and2(h1(v(n1,a))),ok)
| ~ type(h1(v(n1,a)),halfadder) ),
inference(resolution,[],[f77,f59]) ).
fof(f122,plain,
( mode(and2(h2(v(n1,a))),ok)
| ~ type(h2(v(n1,a)),halfadder) ),
inference(resolution,[],[f77,f60]) ).
fof(f125,definition,
( spl0_7
<=> type(h2(v(n1,a)),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f126,plain,
( type(h2(v(n1,a)),halfadder)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( ~ type(h2(v(n1,a)),halfadder)
| spl0_7 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl0_8
<=> mode(and2(h2(v(n1,a))),ok) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f131,plain,
( mode(and2(h2(v(n1,a))),ok)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f122,f129,f125]) ).
fof(f134,definition,
( spl0_9
<=> type(h1(v(n1,a)),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f135,plain,
( type(h1(v(n1,a)),halfadder)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( ~ type(h1(v(n1,a)),halfadder)
| spl0_9 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,definition,
( spl0_10
<=> mode(and2(h1(v(n1,a))),ok) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f140,plain,
( mode(and2(h1(v(n1,a))),ok)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f121,f138,f134]) ).
fof(f144,plain,
( ~ type(v(n1,a),fulladder)
| spl0_7 ),
inference(resolution,[],[f127,f36]) ).
fof(f145,plain,
( ~ type(a,nbit_adder(n1))
| value(out(c,v(n1,a)),n1) ),
inference(resolution,[],[f48,f65]) ).
fof(f146,plain,
value(out(c,v(n1,a)),n1),
inference(forward_subsumption_resolution,[],[f145,f52]) ).
fof(f147,plain,
( ~ type(a,nbit_adder(n1))
| spl0_7 ),
inference(resolution,[],[f144,f46]) ).
fof(f148,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f147,f52]) ).
fof(f149,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f150,plain,
( ~ type(a,nbit_adder(n1))
| value(in(n1,v(n1,a)),n0) ),
inference(resolution,[],[f49,f61]) ).
fof(f151,plain,
value(in(n1,v(n1,a)),n0),
inference(forward_subsumption_resolution,[],[f150,f52]) ).
fof(f162,plain,
( ~ type(a,nbit_adder(n1))
| value(in(n2,v(n1,a)),n0) ),
inference(resolution,[],[f50,f62]) ).
fof(f163,plain,
value(in(n2,v(n1,a)),n0),
inference(forward_subsumption_resolution,[],[f162,f52]) ).
fof(f164,plain,
( ~ type(v(n1,a),fulladder)
| spl0_9 ),
inference(resolution,[],[f136,f35]) ).
fof(f167,plain,
( ~ type(a,nbit_adder(n1))
| spl0_9 ),
inference(resolution,[],[f164,f46]) ).
fof(f168,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f167,f52]) ).
fof(f169,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f221,plain,
! [X0] :
( ~ connection(out(c,v(n1,a)),X0)
| value(X0,n1) ),
inference(resolution,[],[f146,f1]) ).
fof(f233,plain,
! [X0] :
( ~ connection(in(n1,v(n1,a)),X0)
| value(X0,n0) ),
inference(resolution,[],[f151,f1]) ).
fof(f261,plain,
! [X0] :
( ~ connection(in(n2,v(n1,a)),X0)
| value(X0,n0) ),
inference(resolution,[],[f163,f1]) ).
fof(f262,plain,
( mode(or1(v(n1,a)),ok)
| ~ type(v(n1,a),fulladder) ),
inference(resolution,[],[f79,f58]) ).
fof(f265,definition,
( spl0_26
<=> type(v(n1,a),fulladder) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f266,plain,
( type(v(n1,a),fulladder)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ type(v(n1,a),fulladder)
| spl0_26 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl0_27
<=> mode(or1(v(n1,a)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f271,plain,
( mode(or1(v(n1,a)),ok)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( ~ spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f262,f269,f265]) ).
fof(f273,plain,
( ~ type(a,nbit_adder(n1))
| spl0_26 ),
inference(resolution,[],[f267,f46]) ).
fof(f274,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f273,f52]) ).
fof(f275,plain,
spl0_26,
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f310,plain,
( value(out(n1,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder) ),
inference(resolution,[],[f221,f45]) ).
fof(f321,plain,
( value(out(n1,or1(v(n1,a))),n1)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f310,f266]) ).
fof(f322,plain,
( ~ type(or1(v(n1,a)),or)
| ~ mode(or1(v(n1,a)),ok)
| value(in(n1,or1(v(n1,a))),n1)
| value(in(n2,or1(v(n1,a))),n1)
| ~ spl0_26 ),
inference(resolution,[],[f321,f15]) ).
fof(f332,plain,
( ~ type(or1(v(n1,a)),or)
| value(in(n1,or1(v(n1,a))),n1)
| value(in(n2,or1(v(n1,a))),n1)
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f322,f271]) ).
fof(f334,definition,
( spl0_32
<=> value(in(n1,or1(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f336,plain,
( value(in(n1,or1(v(n1,a))),n1)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f343,definition,
( spl0_34
<=> value(in(n2,or1(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f345,plain,
( value(in(n2,or1(v(n1,a))),n1)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f357,definition,
( spl0_37
<=> type(or1(v(n1,a)),or) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f359,plain,
( ~ type(or1(v(n1,a)),or)
| spl0_37 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( spl0_34
| spl0_32
| ~ spl0_37
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f332,f269,f265,f357,f334,f343]) ).
fof(f365,plain,
( value(in(n1,h2(v(n1,a))),n0)
| ~ type(v(n1,a),fulladder) ),
inference(resolution,[],[f233,f41]) ).
fof(f366,plain,
( value(in(n1,h2(v(n1,a))),n0)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f365,f266]) ).
fof(f367,plain,
( ~ type(v(n1,a),fulladder)
| spl0_37 ),
inference(resolution,[],[f359,f37]) ).
fof(f369,plain,
( $false
| ~ spl0_26
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f367,f266]) ).
fof(f370,plain,
( ~ spl0_26
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f378,plain,
( ! [X0] :
( ~ connection(in(n1,h2(v(n1,a))),X0)
| value(X0,n0) )
| ~ spl0_26 ),
inference(resolution,[],[f366,f1]) ).
fof(f381,plain,
( value(in(n1,h1(v(n1,a))),n0)
| ~ type(v(n1,a),fulladder) ),
inference(resolution,[],[f261,f42]) ).
fof(f382,plain,
( value(in(n1,h1(v(n1,a))),n0)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f381,f266]) ).
fof(f387,plain,
( ! [X0] :
( ~ connection(in(n1,h1(v(n1,a))),X0)
| value(X0,n0) )
| ~ spl0_26 ),
inference(resolution,[],[f382,f1]) ).
fof(f392,plain,
( ! [X0] :
( ~ connection(X0,in(n1,or1(v(n1,a))))
| value(X0,n1) )
| ~ spl0_32 ),
inference(resolution,[],[f336,f2]) ).
fof(f475,plain,
( value(in(n1,and2(h2(v(n1,a)))),n0)
| ~ type(h2(v(n1,a)),halfadder)
| ~ spl0_26 ),
inference(resolution,[],[f378,f28]) ).
fof(f479,plain,
( value(in(n1,and2(h2(v(n1,a)))),n0)
| ~ spl0_7
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f475,f126]) ).
fof(f509,plain,
( value(in(n1,and2(h1(v(n1,a)))),n0)
| ~ type(h1(v(n1,a)),halfadder)
| ~ spl0_26 ),
inference(resolution,[],[f387,f28]) ).
fof(f522,plain,
( value(in(n1,and2(h1(v(n1,a)))),n0)
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f509,f135]) ).
fof(f526,plain,
( ! [X0] :
( ~ value(in(n1,and2(h2(v(n1,a)))),X0)
| equal_value(X0,n0) )
| ~ spl0_7
| ~ spl0_26 ),
inference(resolution,[],[f479,f3]) ).
fof(f536,definition,
( spl0_58
<=> type(and2(h2(v(n1,a))),and) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f537,plain,
( type(and2(h2(v(n1,a))),and)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f538,plain,
( ~ type(and2(h2(v(n1,a))),and)
| spl0_58 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f541,definition,
( spl0_59
<=> value(out(n1,and2(h2(v(n1,a)))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f543,plain,
( value(out(n1,and2(h2(v(n1,a)))),n1)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f550,plain,
( ~ type(h2(v(n1,a)),halfadder)
| spl0_58 ),
inference(resolution,[],[f538,f23]) ).
fof(f551,plain,
( $false
| ~ spl0_7
| spl0_58 ),
inference(forward_subsumption_resolution,[],[f550,f126]) ).
fof(f552,plain,
( ~ spl0_7
| spl0_58 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f588,plain,
( ! [X0] :
( ~ value(in(n1,and2(h1(v(n1,a)))),X0)
| equal_value(X0,n0) )
| ~ spl0_9
| ~ spl0_26 ),
inference(resolution,[],[f522,f3]) ).
fof(f598,definition,
( spl0_67
<=> type(and2(h1(v(n1,a))),and) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f599,plain,
( type(and2(h1(v(n1,a))),and)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f600,plain,
( ~ type(and2(h1(v(n1,a))),and)
| spl0_67 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f603,definition,
( spl0_68
<=> value(out(n1,and2(h1(v(n1,a)))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f605,plain,
( value(out(n1,and2(h1(v(n1,a)))),n1)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f616,plain,
( ~ type(h1(v(n1,a)),halfadder)
| spl0_67 ),
inference(resolution,[],[f600,f23]) ).
fof(f617,plain,
( $false
| ~ spl0_9
| spl0_67 ),
inference(forward_subsumption_resolution,[],[f616,f135]) ).
fof(f618,plain,
( ~ spl0_9
| spl0_67 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f636,plain,
( value(out(c,h2(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder)
| ~ spl0_32 ),
inference(resolution,[],[f392,f40]) ).
fof(f637,plain,
( value(out(c,h2(v(n1,a))),n1)
| ~ spl0_26
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f636,f266]) ).
fof(f640,plain,
( ! [X0] :
( ~ connection(out(c,h2(v(n1,a))),X0)
| value(X0,n1) )
| ~ spl0_26
| ~ spl0_32 ),
inference(resolution,[],[f637,f1]) ).
fof(f705,plain,
( value(out(n1,and2(h2(v(n1,a)))),n1)
| ~ type(h2(v(n1,a)),halfadder)
| ~ spl0_26
| ~ spl0_32 ),
inference(resolution,[],[f640,f31]) ).
fof(f718,plain,
( value(out(n1,and2(h2(v(n1,a)))),n1)
| ~ spl0_7
| ~ spl0_26
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f705,f126]) ).
fof(f719,plain,
( spl0_59
| ~ spl0_7
| ~ spl0_26
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f718,f334,f265,f125,f541]) ).
fof(f723,plain,
( ! [X0] :
( ~ connection(X0,in(n2,or1(v(n1,a))))
| value(X0,n1) )
| ~ spl0_34 ),
inference(resolution,[],[f345,f2]) ).
fof(f727,plain,
( value(out(c,h1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder)
| ~ spl0_34 ),
inference(resolution,[],[f723,f39]) ).
fof(f728,plain,
( value(out(c,h1(v(n1,a))),n1)
| ~ spl0_26
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f727,f266]) ).
fof(f734,plain,
( ! [X0] :
( ~ connection(out(c,h1(v(n1,a))),X0)
| value(X0,n1) )
| ~ spl0_26
| ~ spl0_34 ),
inference(resolution,[],[f728,f1]) ).
fof(f795,plain,
( value(out(n1,and2(h1(v(n1,a)))),n1)
| ~ type(h1(v(n1,a)),halfadder)
| ~ spl0_26
| ~ spl0_34 ),
inference(resolution,[],[f734,f31]) ).
fof(f808,plain,
( value(out(n1,and2(h1(v(n1,a)))),n1)
| ~ spl0_9
| ~ spl0_26
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f795,f135]) ).
fof(f809,plain,
( spl0_68
| ~ spl0_9
| ~ spl0_26
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f808,f343,f265,f134,f603]) ).
fof(f822,plain,
( ~ type(and2(h2(v(n1,a))),and)
| ~ mode(and2(h2(v(n1,a))),ok)
| value(in(n1,and2(h2(v(n1,a)))),n1)
| ~ spl0_59 ),
inference(resolution,[],[f543,f11]) ).
fof(f826,plain,
( ~ mode(and2(h2(v(n1,a))),ok)
| value(in(n1,and2(h2(v(n1,a)))),n1)
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f822,f537]) ).
fof(f828,plain,
( value(in(n1,and2(h2(v(n1,a)))),n1)
| ~ spl0_8
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f826,f131]) ).
fof(f834,plain,
( equal_value(n1,n0)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_26
| ~ spl0_58
| ~ spl0_59 ),
inference(resolution,[],[f828,f526]) ).
fof(f838,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_26
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f834,f5]) ).
fof(f839,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_26
| ~ spl0_58
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f854,plain,
( ~ type(and2(h1(v(n1,a))),and)
| ~ mode(and2(h1(v(n1,a))),ok)
| value(in(n1,and2(h1(v(n1,a)))),n1)
| ~ spl0_68 ),
inference(resolution,[],[f605,f11]) ).
fof(f858,plain,
( ~ mode(and2(h1(v(n1,a))),ok)
| value(in(n1,and2(h1(v(n1,a)))),n1)
| ~ spl0_67
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f854,f599]) ).
fof(f861,plain,
( value(in(n1,and2(h1(v(n1,a)))),n1)
| ~ spl0_10
| ~ spl0_67
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f858,f140]) ).
fof(f868,definition,
( spl0_95
<=> value(in(n1,and2(h1(v(n1,a)))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f870,plain,
( value(in(n1,and2(h1(v(n1,a)))),n1)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f872,plain,
( spl0_95
| ~ spl0_10
| ~ spl0_67
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f861,f603,f598,f138,f868]) ).
fof(f912,plain,
( equal_value(n1,n0)
| ~ spl0_9
| ~ spl0_26
| ~ spl0_95 ),
inference(resolution,[],[f870,f588]) ).
fof(f916,plain,
( $false
| ~ spl0_9
| ~ spl0_26
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f912,f5]) ).
fof(f917,plain,
( ~ spl0_9
| ~ spl0_26
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f916]) ).
cnf(s4,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f132]) ).
cnf(s5,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f141]) ).
cnf(s6,plain,
spl0_7,
inference(sat_conversion,[],[f149]) ).
cnf(s8,plain,
spl0_9,
inference(sat_conversion,[],[f169]) ).
cnf(s18,plain,
( ~ spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f272]) ).
cnf(s19,plain,
spl0_26,
inference(sat_conversion,[],[f275]) ).
cnf(s26,plain,
( ~ spl0_26
| ~ spl0_27
| spl0_32
| spl0_34
| ~ spl0_37 ),
inference(sat_conversion,[],[f360]) ).
cnf(s27,plain,
( ~ spl0_26
| spl0_37 ),
inference(sat_conversion,[],[f370]) ).
cnf(s40,plain,
( ~ spl0_7
| spl0_58 ),
inference(sat_conversion,[],[f552]) ).
cnf(s45,plain,
( ~ spl0_9
| spl0_67 ),
inference(sat_conversion,[],[f618]) ).
cnf(s54,plain,
( ~ spl0_7
| ~ spl0_26
| ~ spl0_32
| spl0_59 ),
inference(sat_conversion,[],[f719]) ).
cnf(s62,plain,
( ~ spl0_9
| ~ spl0_26
| ~ spl0_34
| spl0_68 ),
inference(sat_conversion,[],[f809]) ).
cnf(s63,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_26
| ~ spl0_58
| ~ spl0_59 ),
inference(sat_conversion,[],[f839]) ).
cnf(s65,plain,
( ~ spl0_10
| ~ spl0_67
| ~ spl0_68
| spl0_95 ),
inference(sat_conversion,[],[f872]) ).
cnf(s70,plain,
( ~ spl0_9
| ~ spl0_26
| ~ spl0_95 ),
inference(sat_conversion,[],[f917]) ).
cnf(s71,plain,
spl0_37,
inference(rat,[],[s27,s19]) ).
cnf(s72,plain,
spl0_27,
inference(rat,[],[s18,s19]) ).
cnf(s73,plain,
~ spl0_95,
inference(rat,[],[s70,s19,s8]) ).
cnf(s74,plain,
spl0_67,
inference(rat,[],[s45,s8]) ).
cnf(s75,plain,
spl0_58,
inference(rat,[],[s40,s6]) ).
cnf(s76,plain,
spl0_10,
inference(rat,[],[s5,s8]) ).
cnf(s77,plain,
~ spl0_68,
inference(rat,[],[s65,s73,s74,s76]) ).
cnf(s79,plain,
~ spl0_34,
inference(rat,[],[s62,s8,s19,s77]) ).
cnf(s81,plain,
spl0_32,
inference(rat,[],[s26,s71,s72,s19,s79]) ).
cnf(s83,plain,
spl0_59,
inference(rat,[],[s54,s6,s19,s81]) ).
cnf(s84,plain,
~ spl0_8,
inference(rat,[],[s63,s75,s6,s19,s83]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s4,s84,s6]) ).
fof(f918,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV008-1.001 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:55:09 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % (2161092)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (2161100)dis+10_1_sil=32000:sp=arity:random_seed=3180373457:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (2161098)% WARNING: option uhcvi not known.
% 0.15/0.47 % (2161097)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=162608267_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (2161098)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4237701245:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (2161099)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3023790795:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (2161100) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2161092-2161100"...
% 0.15/0.47 % (2161101)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1226889642:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (2161102)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=523761074:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (2161103)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1108508841:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (2161100)...printing done.
% 0.15/0.47 % (2161100)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (2161100)------------------------------
% 0.15/0.47 % (2161100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (2161100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (2161100)CaDiCaL version: 2.1.3
% 0.15/0.47 % (2161100)Termination reason: Refutation
% 0.15/0.47 % (2161100)Time elapsed: 0.008 s
% 0.15/0.47 % (2161100)Peak memory usage: 12 MB
% 0.15/0.47 % (2161100)Instructions burned: 19 (million)
% 0.15/0.47 % (2161092)Success in time 0.036 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------