%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n010.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 3.39s 1.32s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 59
% Syntax : Number of formulae : 234 ( 54 unt; 30 def)
% Number of atoms : 490 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 505 ( 249 ~; 226 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 36 ( 35 usr; 31 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 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(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(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] :
( ~ value(X0,n0)
| ~ value(X0,n1) ),
inference(resolution,[],[f3,f4]) ).
fof(f63,plain,
~ value(in(a1,a),n1),
inference(resolution,[],[f61,f53]) ).
fof(f64,plain,
~ value(in(b1,a),n1),
inference(resolution,[],[f61,f54]) ).
fof(f67,plain,
! [X0] :
( mode(or1(v(n1,a)),ok)
| ~ type(or1(v(n1,a)),X0) ),
inference(resolution,[],[f7,f58]) ).
fof(f68,plain,
! [X0] :
( mode(and2(h1(v(n1,a))),ok)
| ~ type(and2(h1(v(n1,a))),X0) ),
inference(resolution,[],[f7,f59]) ).
fof(f69,plain,
! [X0] :
( mode(and2(h2(v(n1,a))),ok)
| ~ type(and2(h2(v(n1,a))),X0) ),
inference(resolution,[],[f7,f60]) ).
fof(f72,definition,
( spl0_1
<=> ! [X0] : ~ type(and2(h2(v(n1,a))),X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f73,plain,
( ! [X0] : ~ type(and2(h2(v(n1,a))),X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_2
<=> mode(and2(h2(v(n1,a))),ok) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f76,plain,
( mode(and2(h2(v(n1,a))),ok)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f69,f75,f72]) ).
fof(f79,definition,
( spl0_3
<=> ! [X0] : ~ type(and2(h1(v(n1,a))),X0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f80,plain,
( ! [X0] : ~ type(and2(h1(v(n1,a))),X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_4
<=> mode(and2(h1(v(n1,a))),ok) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f83,plain,
( mode(and2(h1(v(n1,a))),ok)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f68,f82,f79]) ).
fof(f86,definition,
( spl0_5
<=> ! [X0] : ~ type(or1(v(n1,a)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f87,plain,
( ! [X0] : ~ type(or1(v(n1,a)),X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl0_6
<=> mode(or1(v(n1,a)),ok) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f90,plain,
( mode(or1(v(n1,a)),ok)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f67,f89,f86]) ).
fof(f92,plain,
( ~ type(v(n1,a),fulladder)
| ~ spl0_5 ),
inference(resolution,[],[f87,f37]) ).
fof(f94,plain,
( ~ type(h1(v(n1,a)),halfadder)
| ~ spl0_3 ),
inference(resolution,[],[f80,f23]) ).
fof(f95,plain,
( ~ type(v(n1,a),fulladder)
| ~ spl0_3 ),
inference(resolution,[],[f94,f35]) ).
fof(f96,plain,
( ~ type(a,nbit_adder(n1))
| ~ spl0_5 ),
inference(resolution,[],[f46,f92]) ).
fof(f97,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f96,f52]) ).
fof(f98,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f99,plain,
( ~ type(a,nbit_adder(n1))
| ~ spl0_3 ),
inference(resolution,[],[f95,f46]) ).
fof(f100,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f99,f52]) ).
fof(f101,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f106,plain,
! [X0,X1] :
( ~ value(in(n1,and2(X0)),X1)
| ~ type(X0,halfadder)
| value(in(n1,X0),X1) ),
inference(resolution,[],[f28,f2]) ).
fof(f113,plain,
! [X0,X1] :
( value(out(n1,and2(X0)),X1)
| ~ value(out(c,X0),X1)
| ~ type(X0,halfadder) ),
inference(resolution,[],[f31,f1]) ).
fof(f114,plain,
! [X0,X1] :
( ~ value(in(n1,h2(X0)),X1)
| ~ type(X0,fulladder)
| value(in(n1,X0),X1) ),
inference(resolution,[],[f41,f2]) ).
fof(f116,plain,
! [X0,X1] :
( ~ value(in(n1,h1(X0)),X1)
| ~ type(X0,fulladder)
| value(in(n2,X0),X1) ),
inference(resolution,[],[f42,f2]) ).
fof(f123,plain,
! [X0,X1] :
( value(out(n1,or1(X0)),X1)
| ~ value(out(c,X0),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f45,f1]) ).
fof(f132,plain,
! [X0,X1] :
( value(out(c,h1(X0)),X1)
| ~ value(in(n2,or1(X0)),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f39,f2]) ).
fof(f134,plain,
! [X0,X1] :
( value(out(c,h2(X0)),X1)
| ~ value(in(n1,or1(X0)),X1)
| ~ type(X0,fulladder) ),
inference(resolution,[],[f40,f2]) ).
fof(f139,plain,
! [X0,X1] :
( value(out(c,v(n1,X0)),X1)
| ~ value(out(c,X0),X1)
| ~ type(X0,nbit_adder(n1)) ),
inference(resolution,[],[f48,f1]) ).
fof(f140,plain,
! [X0,X1] :
( ~ value(in(n1,v(n1,X0)),X1)
| ~ type(X0,nbit_adder(n1))
| value(in(a1,X0),X1) ),
inference(resolution,[],[f49,f2]) ).
fof(f142,plain,
! [X0,X1] :
( ~ value(in(n2,v(n1,X0)),X1)
| ~ type(X0,nbit_adder(n1))
| value(in(b1,X0),X1) ),
inference(resolution,[],[f50,f2]) ).
fof(f166,definition,
( spl0_12
<=> type(and2(h1(v(n1,a))),and) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f167,plain,
( ~ type(and2(h1(v(n1,a))),and)
| spl0_12 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f176,definition,
( spl0_15
<=> type(and2(h2(v(n1,a))),and) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f177,plain,
( ~ type(and2(h2(v(n1,a))),and)
| spl0_15 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( ~ type(h1(v(n1,a)),halfadder)
| spl0_12 ),
inference(resolution,[],[f167,f23]) ).
fof(f180,plain,
( ~ type(h2(v(n1,a)),halfadder)
| spl0_15 ),
inference(resolution,[],[f177,f23]) ).
fof(f184,plain,
( ~ type(v(n1,a),fulladder)
| spl0_12 ),
inference(resolution,[],[f179,f35]) ).
fof(f185,plain,
( ~ type(v(n1,a),fulladder)
| spl0_15 ),
inference(resolution,[],[f180,f36]) ).
fof(f186,plain,
( ~ type(a,nbit_adder(n1))
| spl0_12 ),
inference(resolution,[],[f184,f46]) ).
fof(f187,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f186,f52]) ).
fof(f188,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f190,plain,
( ~ type(a,nbit_adder(n1))
| spl0_15 ),
inference(resolution,[],[f185,f46]) ).
fof(f191,plain,
( $false
| spl0_15 ),
inference(resolution,[],[f190,f52]) ).
fof(f192,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f195,plain,
( ~ type(and2(h1(v(n1,a))),and)
| ~ value(out(n1,and2(h1(v(n1,a)))),n1)
| value(in(n1,and2(h1(v(n1,a)))),n1)
| ~ spl0_4 ),
inference(resolution,[],[f11,f83]) ).
fof(f207,definition,
( spl0_16
<=> value(out(n1,or1(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f213,definition,
( spl0_18
<=> type(or1(v(n1,a)),or) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f214,plain,
( ~ type(or1(v(n1,a)),or)
| spl0_18 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,definition,
( spl0_19
<=> value(out(n1,and2(h1(v(n1,a)))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f227,definition,
( spl0_22
<=> value(out(n1,and2(h2(v(n1,a)))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f236,plain,
( ~ type(v(n1,a),fulladder)
| spl0_18 ),
inference(resolution,[],[f214,f37]) ).
fof(f238,plain,
( ~ type(a,nbit_adder(n1))
| spl0_18 ),
inference(resolution,[],[f236,f46]) ).
fof(f239,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f238,f52]) ).
fof(f240,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f274,definition,
( spl0_30
<=> type(h1(v(n1,a)),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f275,plain,
( ~ type(h1(v(n1,a)),halfadder)
| spl0_30 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f280,plain,
( ~ type(v(n1,a),fulladder)
| spl0_30 ),
inference(resolution,[],[f275,f35]) ).
fof(f281,plain,
( ~ type(a,nbit_adder(n1))
| spl0_30 ),
inference(resolution,[],[f280,f46]) ).
fof(f285,plain,
( $false
| spl0_30 ),
inference(resolution,[],[f281,f52]) ).
fof(f286,plain,
spl0_30,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f291,definition,
( spl0_32
<=> value(in(n1,or1(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f302,definition,
( spl0_35
<=> value(in(n1,v(n1,a)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f309,definition,
( spl0_36
<=> value(in(n1,and2(h1(v(n1,a)))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f310,plain,
( value(in(n1,and2(h1(v(n1,a)))),n1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f319,plain,
( ~ value(out(n1,or1(v(n1,a))),n1)
| spl0_16 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f327,definition,
( spl0_38
<=> type(h2(v(n1,a)),halfadder) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f328,plain,
( ~ type(h2(v(n1,a)),halfadder)
| spl0_38 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f334,plain,
( ~ value(out(n1,and2(h1(v(n1,a)))),n1)
| spl0_19 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f335,plain,
( spl0_36
| ~ spl0_19
| ~ spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f195,f82,f166,f217,f309]) ).
fof(f340,plain,
( ~ type(v(n1,a),fulladder)
| spl0_38 ),
inference(resolution,[],[f328,f36]) ).
fof(f347,plain,
( ~ type(a,nbit_adder(n1))
| spl0_38 ),
inference(resolution,[],[f340,f46]) ).
fof(f358,definition,
( spl0_43
<=> value(in(n1,and2(h2(v(n1,a)))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f361,plain,
( $false
| spl0_38 ),
inference(resolution,[],[f347,f52]) ).
fof(f362,plain,
spl0_38,
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f363,plain,
( value(in(n1,and2(h2(v(n1,a)))),n1)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f364,plain,
( ~ value(out(n1,and2(h2(v(n1,a)))),n1)
| spl0_22 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f380,definition,
( spl0_46
<=> value(in(n1,h1(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f385,definition,
( spl0_47
<=> value(in(n1,h2(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f388,plain,
( ~ value(out(c,h1(v(n1,a))),n1)
| ~ type(h1(v(n1,a)),halfadder)
| spl0_19 ),
inference(resolution,[],[f113,f334]) ).
fof(f389,plain,
( ~ value(out(c,h2(v(n1,a))),n1)
| ~ type(h2(v(n1,a)),halfadder)
| spl0_22 ),
inference(resolution,[],[f113,f364]) ).
fof(f397,definition,
( spl0_48
<=> value(out(c,h2(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f398,plain,
( ~ value(out(c,h2(v(n1,a))),n1)
| spl0_48 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( ~ spl0_38
| ~ spl0_48
| spl0_22 ),
inference(avatar_split_clause,[],[f389,f227,f397,f327]) ).
fof(f401,definition,
( spl0_49
<=> value(out(c,h1(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f402,plain,
( ~ value(out(c,h1(v(n1,a))),n1)
| spl0_49 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f403,plain,
( ~ spl0_30
| ~ spl0_49
| spl0_19 ),
inference(avatar_split_clause,[],[f388,f217,f401,f274]) ).
fof(f431,definition,
( spl0_52
<=> type(v(n1,a),fulladder) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f432,plain,
( ~ type(v(n1,a),fulladder)
| spl0_52 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f438,plain,
( ~ type(a,nbit_adder(n1))
| spl0_52 ),
inference(resolution,[],[f432,f46]) ).
fof(f439,plain,
( $false
| spl0_52 ),
inference(resolution,[],[f438,f52]) ).
fof(f440,plain,
spl0_52,
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f443,plain,
( ~ type(or1(v(n1,a)),or)
| ~ value(out(n1,or1(v(n1,a))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| value(in(n2,or1(v(n1,a))),n1)
| ~ spl0_6 ),
inference(resolution,[],[f15,f90]) ).
fof(f445,definition,
( spl0_54
<=> value(in(n2,or1(v(n1,a))),n1) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f448,plain,
( spl0_54
| spl0_32
| ~ spl0_16
| ~ spl0_18
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f443,f89,f213,f207,f291,f445]) ).
fof(f461,definition,
( spl0_56
<=> value(in(n2,v(n1,a)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f475,plain,
( ~ value(out(c,v(n1,a)),n1)
| ~ type(v(n1,a),fulladder)
| spl0_16 ),
inference(resolution,[],[f123,f319]) ).
fof(f485,definition,
( spl0_59
<=> value(out(c,v(n1,a)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f486,plain,
( ~ value(out(c,v(n1,a)),n1)
| spl0_59 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( ~ spl0_52
| ~ spl0_59
| spl0_16 ),
inference(avatar_split_clause,[],[f475,f207,f485,f431]) ).
fof(f561,plain,
( ~ value(in(n1,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder)
| spl0_48 ),
inference(resolution,[],[f134,f398]) ).
fof(f581,plain,
( ~ value(out(c,a),n1)
| ~ type(a,nbit_adder(n1))
| spl0_59 ),
inference(resolution,[],[f139,f486]) ).
fof(f586,definition,
( spl0_64
<=> type(a,nbit_adder(n1)) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f587,plain,
( ~ type(a,nbit_adder(n1))
| spl0_64 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f589,definition,
( spl0_65
<=> value(out(c,a),n1) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f590,plain,
( ~ value(out(c,a),n1)
| spl0_65 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f591,plain,
( ~ spl0_64
| ~ spl0_65
| spl0_59 ),
inference(avatar_split_clause,[],[f581,f485,f589,f586]) ).
fof(f596,plain,
( $false
| spl0_64 ),
inference(resolution,[],[f587,f52]) ).
fof(f597,plain,
spl0_64,
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f598,plain,
( $false
| spl0_65 ),
inference(resolution,[],[f590,f57]) ).
fof(f599,plain,
spl0_65,
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f612,plain,
( ~ spl0_52
| ~ spl0_32
| spl0_48 ),
inference(avatar_split_clause,[],[f561,f397,f291,f431]) ).
fof(f622,plain,
( ~ value(in(n2,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder)
| spl0_49 ),
inference(resolution,[],[f402,f132]) ).
fof(f623,plain,
( ~ spl0_52
| ~ spl0_54
| spl0_49 ),
inference(avatar_split_clause,[],[f622,f401,f445,f431]) ).
fof(f643,plain,
( ~ type(h1(v(n1,a)),halfadder)
| value(in(n1,h1(v(n1,a))),n1)
| ~ spl0_36 ),
inference(resolution,[],[f310,f106]) ).
fof(f644,plain,
( value(in(n1,h1(v(n1,a))),n1)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f645,plain,
( spl0_46
| ~ spl0_30
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f643,f309,f274,f380]) ).
fof(f647,plain,
( ~ type(v(n1,a),fulladder)
| value(in(n2,v(n1,a)),n1)
| ~ spl0_46 ),
inference(resolution,[],[f644,f116]) ).
fof(f648,plain,
( value(in(n2,v(n1,a)),n1)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f649,plain,
( spl0_56
| ~ spl0_52
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f647,f380,f431,f461]) ).
fof(f663,plain,
( ~ type(h2(v(n1,a)),halfadder)
| value(in(n1,h2(v(n1,a))),n1)
| ~ spl0_43 ),
inference(resolution,[],[f363,f106]) ).
fof(f664,plain,
( value(in(n1,h2(v(n1,a))),n1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f665,plain,
( spl0_47
| ~ spl0_38
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f663,f358,f327,f385]) ).
fof(f687,plain,
( ~ type(h2(v(n1,a)),halfadder)
| ~ spl0_1 ),
inference(resolution,[],[f73,f23]) ).
fof(f688,plain,
( ~ spl0_38
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f687,f72,f327]) ).
fof(f692,plain,
( ~ type(and2(h2(v(n1,a))),and)
| ~ value(out(n1,and2(h2(v(n1,a)))),n1)
| value(in(n1,and2(h2(v(n1,a)))),n1)
| ~ spl0_2 ),
inference(resolution,[],[f76,f11]) ).
fof(f720,plain,
( ~ type(v(n1,a),fulladder)
| value(in(n1,v(n1,a)),n1)
| ~ spl0_47 ),
inference(resolution,[],[f664,f114]) ).
fof(f721,plain,
( value(in(n1,v(n1,a)),n1)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f722,plain,
( spl0_35
| ~ spl0_52
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f720,f385,f431,f302]) ).
fof(f728,plain,
( ~ type(a,nbit_adder(n1))
| value(in(a1,a),n1)
| ~ spl0_35 ),
inference(resolution,[],[f721,f140]) ).
fof(f730,definition,
( spl0_70
<=> value(in(a1,a),n1) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f731,plain,
( value(in(a1,a),n1)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f732,plain,
( spl0_70
| ~ spl0_64
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f728,f302,f586,f730]) ).
fof(f733,plain,
( spl0_43
| ~ spl0_22
| ~ spl0_15
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f692,f75,f176,f227,f358]) ).
fof(f787,plain,
( ~ type(a,nbit_adder(n1))
| value(in(b1,a),n1)
| ~ spl0_56 ),
inference(resolution,[],[f142,f648]) ).
fof(f789,definition,
( spl0_72
<=> value(in(b1,a),n1) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f790,plain,
( value(in(b1,a),n1)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f791,plain,
( spl0_72
| ~ spl0_64
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f787,f461,f586,f789]) ).
fof(f800,plain,
( $false
| ~ spl0_70 ),
inference(resolution,[],[f731,f63]) ).
fof(f801,plain,
~ spl0_70,
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f803,plain,
( $false
| ~ spl0_72 ),
inference(resolution,[],[f790,f64]) ).
fof(f804,plain,
~ spl0_72,
inference(avatar_contradiction_clause,[],[f803]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f84]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f91]) ).
cnf(s4,plain,
~ spl0_5,
inference(sat_conversion,[],[f98]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f101]) ).
cnf(s9,plain,
spl0_12,
inference(sat_conversion,[],[f188]) ).
cnf(s10,plain,
spl0_15,
inference(sat_conversion,[],[f192]) ).
cnf(s14,plain,
spl0_18,
inference(sat_conversion,[],[f240]) ).
cnf(s19,plain,
spl0_30,
inference(sat_conversion,[],[f286]) ).
cnf(s26,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_19
| spl0_36 ),
inference(sat_conversion,[],[f335]) ).
cnf(s31,plain,
spl0_38,
inference(sat_conversion,[],[f362]) ).
cnf(s39,plain,
( spl0_22
| ~ spl0_38
| ~ spl0_48 ),
inference(sat_conversion,[],[f399]) ).
cnf(s40,plain,
( spl0_19
| ~ spl0_30
| ~ spl0_49 ),
inference(sat_conversion,[],[f403]) ).
cnf(s46,plain,
spl0_52,
inference(sat_conversion,[],[f440]) ).
cnf(s47,plain,
( ~ spl0_6
| ~ spl0_16
| ~ spl0_18
| spl0_32
| spl0_54 ),
inference(sat_conversion,[],[f448]) ).
cnf(s52,plain,
( spl0_16
| ~ spl0_52
| ~ spl0_59 ),
inference(sat_conversion,[],[f487]) ).
cnf(s58,plain,
( spl0_59
| ~ spl0_64
| ~ spl0_65 ),
inference(sat_conversion,[],[f591]) ).
cnf(s60,plain,
spl0_64,
inference(sat_conversion,[],[f597]) ).
cnf(s61,plain,
spl0_65,
inference(sat_conversion,[],[f599]) ).
cnf(s65,plain,
( ~ spl0_32
| spl0_48
| ~ spl0_52 ),
inference(sat_conversion,[],[f612]) ).
cnf(s68,plain,
( spl0_49
| ~ spl0_52
| ~ spl0_54 ),
inference(sat_conversion,[],[f623]) ).
cnf(s73,plain,
( ~ spl0_30
| ~ spl0_36
| spl0_46 ),
inference(sat_conversion,[],[f645]) ).
cnf(s74,plain,
( ~ spl0_46
| ~ spl0_52
| spl0_56 ),
inference(sat_conversion,[],[f649]) ).
cnf(s77,plain,
( ~ spl0_38
| ~ spl0_43
| spl0_47 ),
inference(sat_conversion,[],[f665]) ).
cnf(s82,plain,
( ~ spl0_1
| ~ spl0_38 ),
inference(sat_conversion,[],[f688]) ).
cnf(s88,plain,
( spl0_35
| ~ spl0_47
| ~ spl0_52 ),
inference(sat_conversion,[],[f722]) ).
cnf(s90,plain,
( ~ spl0_35
| ~ spl0_64
| spl0_70 ),
inference(sat_conversion,[],[f732]) ).
cnf(s91,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_22
| spl0_43 ),
inference(sat_conversion,[],[f733]) ).
cnf(s105,plain,
( ~ spl0_56
| ~ spl0_64
| spl0_72 ),
inference(sat_conversion,[],[f791]) ).
cnf(s115,plain,
~ spl0_70,
inference(sat_conversion,[],[f801]) ).
cnf(s116,plain,
~ spl0_72,
inference(sat_conversion,[],[f804]) ).
cnf(s117,plain,
( ~ spl0_56
| ~ spl0_64 ),
inference(rat,[],[s105,s116]) ).
cnf(s119,plain,
( ~ spl0_35
| ~ spl0_64 ),
inference(rat,[],[s90,s115]) ).
cnf(s120,plain,
~ spl0_56,
inference(rat,[],[s117,s60]) ).
cnf(s122,plain,
~ spl0_35,
inference(rat,[],[s119,s60]) ).
cnf(s124,plain,
spl0_59,
inference(rat,[],[s58,s61,s60]) ).
cnf(s125,plain,
( spl0_16
| ~ spl0_52 ),
inference(rat,[],[s52,s124]) ).
cnf(s126,plain,
~ spl0_46,
inference(rat,[],[s74,s120,s46]) ).
cnf(s127,plain,
~ spl0_47,
inference(rat,[],[s88,s122,s46]) ).
cnf(s128,plain,
spl0_16,
inference(rat,[],[s125,s46]) ).
cnf(s131,plain,
~ spl0_1,
inference(rat,[],[s82,s31]) ).
cnf(s132,plain,
~ spl0_43,
inference(rat,[],[s77,s127,s31]) ).
cnf(s136,plain,
~ spl0_36,
inference(rat,[],[s73,s126,s19]) ).
cnf(s140,plain,
spl0_6,
inference(rat,[],[s3,s4]) ).
cnf(s141,plain,
spl0_4,
inference(rat,[],[s2,s5]) ).
cnf(s142,plain,
~ spl0_19,
inference(rat,[],[s26,s136,s9,s141]) ).
cnf(s144,plain,
~ spl0_49,
inference(rat,[],[s40,s19,s142]) ).
cnf(s145,plain,
~ spl0_54,
inference(rat,[],[s68,s46,s144]) ).
cnf(s146,plain,
spl0_32,
inference(rat,[],[s47,s140,s14,s128,s145]) ).
cnf(s148,plain,
spl0_48,
inference(rat,[],[s65,s46,s146]) ).
cnf(s155,plain,
spl0_22,
inference(rat,[],[s39,s31,s148]) ).
cnf(s158,plain,
~ spl0_2,
inference(rat,[],[s91,s132,s10,s155]) ).
cnf(s160,plain,
$false,
inference(rat,[],[s1,s158,s131]) ).
fof(f805,plain,
$false,
inference(avatar_sat_refutation,[],[s160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV008-1.001 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:53:17 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.39/1.32 % (791824)Input is clausal, will run a generic CNF schedule.
% 3.39/1.32 % (791829)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=3000090163:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.39/1.32 % (791830)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=354453506:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.39/1.32 % (791833)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=709819869:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.39/1.32 % (791832)lrs+10_1_sil=8000:sp=occurrence:random_seed=910828080:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.39/1.32 % (791835)dis-21_1_sil=8000:lcm=predicate:random_seed=489243869: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)
% 3.39/1.32 % (791831)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1620028010:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.39/1.32 % (791834)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2664104183:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.39/1.32 % (791833)Refutation not found, incomplete strategy
% 3.39/1.32 % (791833)------------------------------
% 3.39/1.32 % (791833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.32 % (791833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.32 % (791833)CaDiCaL version: 2.1.3
% 3.39/1.32 % (791833)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.32 % (791833)Time elapsed: 0.003 s
% 3.39/1.32 % (791833)Peak memory usage: 88 MB
% 3.39/1.32 % (791833)Instructions burned: 3 (million)
% 3.39/1.32 % (791832)Refutation not found, incomplete strategy
% 3.39/1.32 % (791832)------------------------------
% 3.39/1.32 % (791832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.32 % (791832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.32 % (791832)CaDiCaL version: 2.1.3
% 3.39/1.32 % (791832)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.32 % (791832)Time elapsed: 0.009 s
% 3.39/1.32 % (791832)Peak memory usage: 88 MB
% 3.39/1.32 % (791832)Instructions burned: 12 (million)
% 3.39/1.32 % (791835)First to succeed.
% 3.39/1.32 % (791835)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-791824"
% 3.39/1.32 % (791834)Also succeeded, but the first one will report.
% 3.39/1.32 % (791833)------------------------------
% 3.39/1.32 % (791833)------------------------------
% 3.39/1.32 % (791832)------------------------------
% 3.39/1.32 % (791832)------------------------------
% 3.39/1.32 % (791835)Refutation found. Thanks to Tanya!
% 3.39/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.39/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.51 % (791835)------------------------------
% 3.76/1.51 % (791835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.51 % (791835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.51 % (791835)CaDiCaL version: 2.1.3
% 3.76/1.51 % (791835)Termination reason: Refutation
% 3.76/1.51 % (791835)Time elapsed: 0.016 s
% 3.76/1.51 % (791835)Peak memory usage: 89 MB
% 3.76/1.51 % (791835)Instructions burned: 21 (million)
% 3.76/1.51 % (791835)------------------------------
% 3.76/1.51 % (791835)------------------------------
% 3.76/1.51 % (791824)Success in time 0.446 s
% 3.76/1.51 % Vampire exiting
%------------------------------------------------------------------------------