TSTP Solution File: HWV006-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV006-1 : TPTP v8.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:01:46 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 47
% Syntax : Number of formulae : 164 ( 72 unt; 0 def)
% Number of atoms : 290 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 240 ( 114 ~; 126 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f425,plain,
$false,
inference(subsumption_resolution,[],[f421,f5]) ).
fof(f5,axiom,
~ equal_value(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_value2) ).
fof(f421,plain,
equal_value(n1,n0),
inference(resolution,[],[f420,f408]) ).
fof(f408,plain,
! [X0] :
( ~ value(in(n1,or1(f)),X0)
| equal_value(n1,X0) ),
inference(resolution,[],[f405,f3]) ).
fof(f3,axiom,
! [X3,X4,X5] :
( ~ value(X3,X4)
| ~ value(X3,X5)
| equal_value(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).
fof(f405,plain,
value(in(n1,or1(f)),n1),
inference(resolution,[],[f402,f215]) ).
fof(f215,plain,
connection(out(c,h2(f)),in(n1,or1(f))),
inference(resolution,[],[f40,f46]) ).
fof(f46,axiom,
type(f,fulladder),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).
fof(f40,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(out(c,h2(X8)),in(n1,or1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
fof(f402,plain,
! [X0] :
( ~ connection(out(c,h2(f)),X0)
| value(X0,n1) ),
inference(resolution,[],[f399,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ value(X0,X2)
| ~ connection(X0,X1)
| value(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation1) ).
fof(f399,plain,
value(out(c,h2(f)),n1),
inference(resolution,[],[f396,f129]) ).
fof(f129,plain,
connection(out(c,h2(f)),out(n1,and2(h2(f)))),
inference(resolution,[],[f31,f64]) ).
fof(f64,plain,
type(h2(f),halfadder),
inference(resolution,[],[f36,f46]) ).
fof(f36,axiom,
! [X8] :
( ~ type(X8,fulladder)
| type(h2(X8),halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder2) ).
fof(f31,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(out(c,X8),out(n1,and2(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f396,plain,
! [X0] :
( ~ connection(X0,out(n1,and2(h2(f))))
| value(X0,n1) ),
inference(resolution,[],[f393,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ value(X1,X2)
| ~ connection(X0,X1)
| value(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation2) ).
fof(f393,plain,
value(out(n1,and2(h2(f))),n1),
inference(subsumption_resolution,[],[f356,f375]) ).
fof(f375,plain,
value(in(n2,and2(h2(f))),n1),
inference(resolution,[],[f372,f125]) ).
fof(f125,plain,
connection(in(n2,h2(f)),in(n2,and2(h2(f)))),
inference(resolution,[],[f29,f64]) ).
fof(f29,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(in(n2,X8),in(n2,and2(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).
fof(f372,plain,
! [X0] :
( ~ connection(in(n2,h2(f)),X0)
| value(X0,n1) ),
inference(resolution,[],[f369,f1]) ).
fof(f369,plain,
value(in(n2,h2(f)),n1),
inference(resolution,[],[f366,f213]) ).
fof(f213,plain,
connection(out(s,h1(f)),in(n2,h2(f))),
inference(resolution,[],[f38,f46]) ).
fof(f38,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(out(s,h1(X8)),in(n2,h2(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).
fof(f366,plain,
! [X0] :
( ~ connection(out(s,h1(f)),X0)
| value(X0,n1) ),
inference(resolution,[],[f363,f1]) ).
fof(f363,plain,
value(out(s,h1(f)),n1),
inference(resolution,[],[f360,f126]) ).
fof(f126,plain,
connection(out(s,h1(f)),out(n1,and1(h1(f)))),
inference(resolution,[],[f30,f59]) ).
fof(f59,plain,
type(h1(f),halfadder),
inference(resolution,[],[f35,f46]) ).
fof(f35,axiom,
! [X8] :
( ~ type(X8,fulladder)
| type(h1(X8),halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder1) ).
fof(f30,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(out(s,X8),out(n1,and1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
fof(f360,plain,
! [X0] :
( ~ connection(X0,out(n1,and1(h1(f))))
| value(X0,n1) ),
inference(resolution,[],[f352,f2]) ).
fof(f352,plain,
value(out(n1,and1(h1(f))),n1),
inference(subsumption_resolution,[],[f351,f270]) ).
fof(f270,plain,
value(in(n1,and1(h1(f))),n1),
inference(resolution,[],[f268,f207]) ).
fof(f207,plain,
connection(out(n1,or1(h1(f))),in(n1,and1(h1(f)))),
inference(resolution,[],[f32,f59]) ).
fof(f32,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(out(n1,or1(X8)),in(n1,and1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
fof(f268,plain,
! [X0] :
( ~ connection(out(n1,or1(h1(f))),X0)
| value(X0,n1) ),
inference(resolution,[],[f265,f1]) ).
fof(f265,plain,
value(out(n1,or1(h1(f))),n1),
inference(resolution,[],[f264,f172]) ).
fof(f172,plain,
value(in(n2,or1(h1(f))),n1),
inference(resolution,[],[f158,f120]) ).
fof(f120,plain,
connection(in(n2,h1(f)),in(n2,or1(h1(f)))),
inference(resolution,[],[f27,f59]) ).
fof(f27,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(in(n2,X8),in(n2,or1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).
fof(f158,plain,
! [X0] :
( ~ connection(in(n2,h1(f)),X0)
| value(X0,n1) ),
inference(resolution,[],[f155,f1]) ).
fof(f155,plain,
value(in(n2,h1(f)),n1),
inference(resolution,[],[f154,f71]) ).
fof(f71,plain,
! [X0] :
( ~ connection(in(c,f),X0)
| value(X0,n1) ),
inference(resolution,[],[f1,f49]) ).
fof(f49,axiom,
value(in(c,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).
fof(f154,plain,
connection(in(c,f),in(n2,h1(f))),
inference(resolution,[],[f43,f46]) ).
fof(f43,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(in(c,X8),in(n2,h1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).
fof(f264,plain,
! [X0] :
( ~ value(in(X0,or1(h1(f))),n1)
| value(out(n1,or1(h1(f))),n1) ),
inference(subsumption_resolution,[],[f261,f106]) ).
fof(f106,plain,
mode(or1(h1(f)),ok),
inference(subsumption_resolution,[],[f96,f55]) ).
fof(f55,axiom,
~ mode(or1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1h1) ).
fof(f96,plain,
( mode(or1(h1(f)),abnormal)
| mode(or1(h1(f)),ok) ),
inference(resolution,[],[f7,f60]) ).
fof(f60,plain,
type(or1(h1(f)),or),
inference(resolution,[],[f59,f25]) ).
fof(f25,axiom,
! [X8] :
( ~ type(X8,halfadder)
| type(or1(X8),or) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_or1) ).
fof(f7,axiom,
! [X6,X7] :
( ~ type(X6,X7)
| mode(X6,abnormal)
| mode(X6,ok) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ok_or_abnormal) ).
fof(f261,plain,
! [X0] :
( ~ mode(or1(h1(f)),ok)
| ~ value(in(X0,or1(h1(f))),n1)
| value(out(n1,or1(h1(f))),n1) ),
inference(resolution,[],[f13,f60]) ).
fof(f13,axiom,
! [X6,X7] :
( ~ type(X6,or)
| ~ mode(X6,ok)
| ~ value(in(X7,X6),n1)
| value(out(n1,X6),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1x_1) ).
fof(f351,plain,
( ~ value(in(n1,and1(h1(f))),n1)
| value(out(n1,and1(h1(f))),n1) ),
inference(subsumption_resolution,[],[f350,f319]) ).
fof(f319,plain,
value(in(n2,and1(h1(f))),n1),
inference(resolution,[],[f317,f211]) ).
fof(f211,plain,
connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
inference(resolution,[],[f34,f59]) ).
fof(f34,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(out(n1,not1(X8)),in(n2,and1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
fof(f317,plain,
! [X0] :
( ~ connection(out(n1,not1(h1(f))),X0)
| value(X0,n1) ),
inference(resolution,[],[f314,f1]) ).
fof(f314,plain,
value(out(n1,not1(h1(f))),n1),
inference(subsumption_resolution,[],[f313,f247]) ).
fof(f247,plain,
value(in(n1,not1(h1(f))),n0),
inference(resolution,[],[f226,f209]) ).
fof(f209,plain,
connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
inference(resolution,[],[f33,f59]) ).
fof(f33,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(out(n1,and2(X8)),in(n1,not1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
fof(f226,plain,
! [X0] :
( ~ connection(out(n1,and2(h1(f))),X0)
| value(X0,n0) ),
inference(resolution,[],[f223,f1]) ).
fof(f223,plain,
value(out(n1,and2(h1(f))),n0),
inference(resolution,[],[f221,f161]) ).
fof(f161,plain,
value(in(n1,and2(h1(f))),n0),
inference(resolution,[],[f153,f122]) ).
fof(f122,plain,
connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
inference(resolution,[],[f28,f59]) ).
fof(f28,axiom,
! [X8] :
( ~ type(X8,halfadder)
| connection(in(n1,X8),in(n1,and2(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
fof(f153,plain,
! [X0] :
( ~ connection(in(n1,h1(f)),X0)
| value(X0,n0) ),
inference(resolution,[],[f150,f1]) ).
fof(f150,plain,
value(in(n1,h1(f)),n0),
inference(resolution,[],[f149,f72]) ).
fof(f72,plain,
! [X0] :
( ~ connection(in(n2,f),X0)
| value(X0,n0) ),
inference(resolution,[],[f1,f48]) ).
fof(f48,axiom,
value(in(n2,f),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).
fof(f149,plain,
connection(in(n2,f),in(n1,h1(f))),
inference(resolution,[],[f42,f46]) ).
fof(f42,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(in(n2,X8),in(n1,h1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
fof(f221,plain,
! [X0] :
( ~ value(in(X0,and2(h1(f))),n0)
| value(out(n1,and2(h1(f))),n0) ),
inference(subsumption_resolution,[],[f218,f103]) ).
fof(f103,plain,
mode(and2(h1(f)),ok),
inference(subsumption_resolution,[],[f92,f57]) ).
fof(f57,axiom,
~ mode(and2(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1) ).
fof(f92,plain,
( mode(and2(h1(f)),abnormal)
| mode(and2(h1(f)),ok) ),
inference(resolution,[],[f7,f62]) ).
fof(f62,plain,
type(and2(h1(f)),and),
inference(resolution,[],[f59,f23]) ).
fof(f23,axiom,
! [X8] :
( ~ type(X8,halfadder)
| type(and2(X8),and) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and2) ).
fof(f218,plain,
! [X0] :
( ~ mode(and2(h1(f)),ok)
| ~ value(in(X0,and2(h1(f))),n0)
| value(out(n1,and2(h1(f))),n0) ),
inference(resolution,[],[f8,f62]) ).
fof(f8,axiom,
! [X6,X7] :
( ~ type(X6,and)
| ~ mode(X6,ok)
| ~ value(in(X7,X6),n0)
| value(out(n1,X6),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_0x_0) ).
fof(f313,plain,
( ~ value(in(n1,not1(h1(f))),n0)
| value(out(n1,not1(h1(f))),n1) ),
inference(subsumption_resolution,[],[f311,f105]) ).
fof(f105,plain,
mode(not1(h1(f)),ok),
inference(subsumption_resolution,[],[f94,f56]) ).
fof(f56,axiom,
~ mode(not1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1h1) ).
fof(f94,plain,
( mode(not1(h1(f)),abnormal)
| mode(not1(h1(f)),ok) ),
inference(resolution,[],[f7,f61]) ).
fof(f61,plain,
type(not1(h1(f)),not),
inference(resolution,[],[f59,f24]) ).
fof(f24,axiom,
! [X8] :
( ~ type(X8,halfadder)
| type(not1(X8),not) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_not1) ).
fof(f311,plain,
( ~ mode(not1(h1(f)),ok)
| ~ value(in(n1,not1(h1(f))),n0)
| value(out(n1,not1(h1(f))),n1) ),
inference(resolution,[],[f18,f61]) ).
fof(f18,axiom,
! [X6] :
( ~ type(X6,not)
| ~ mode(X6,ok)
| ~ value(in(n1,X6),n0)
| value(out(n1,X6),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_fw) ).
fof(f350,plain,
( ~ value(in(n2,and1(h1(f))),n1)
| ~ value(in(n1,and1(h1(f))),n1)
| value(out(n1,and1(h1(f))),n1) ),
inference(subsumption_resolution,[],[f346,f102]) ).
fof(f102,plain,
mode(and1(h1(f)),ok),
inference(subsumption_resolution,[],[f90,f58]) ).
fof(f58,axiom,
~ mode(and1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1h1) ).
fof(f90,plain,
( mode(and1(h1(f)),abnormal)
| mode(and1(h1(f)),ok) ),
inference(resolution,[],[f7,f63]) ).
fof(f63,plain,
type(and1(h1(f)),and),
inference(resolution,[],[f59,f22]) ).
fof(f22,axiom,
! [X8] :
( ~ type(X8,halfadder)
| type(and1(X8),and) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and1) ).
fof(f346,plain,
( ~ mode(and1(h1(f)),ok)
| ~ value(in(n2,and1(h1(f))),n1)
| ~ value(in(n1,and1(h1(f))),n1)
| value(out(n1,and1(h1(f))),n1) ),
inference(resolution,[],[f9,f63]) ).
fof(f9,axiom,
! [X6] :
( ~ type(X6,and)
| ~ mode(X6,ok)
| ~ value(in(n2,X6),n1)
| ~ value(in(n1,X6),n1)
| value(out(n1,X6),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_11_1) ).
fof(f356,plain,
( ~ value(in(n2,and2(h2(f))),n1)
| value(out(n1,and2(h2(f))),n1) ),
inference(subsumption_resolution,[],[f355,f138]) ).
fof(f138,plain,
value(in(n1,and2(h2(f))),n1),
inference(resolution,[],[f134,f123]) ).
fof(f123,plain,
connection(in(n1,h2(f)),in(n1,and2(h2(f)))),
inference(resolution,[],[f28,f64]) ).
fof(f134,plain,
! [X0] :
( ~ connection(in(n1,h2(f)),X0)
| value(X0,n1) ),
inference(resolution,[],[f131,f1]) ).
fof(f131,plain,
value(in(n1,h2(f)),n1),
inference(resolution,[],[f130,f70]) ).
fof(f70,plain,
! [X0] :
( ~ connection(in(n1,f),X0)
| value(X0,n1) ),
inference(resolution,[],[f1,f47]) ).
fof(f47,axiom,
value(in(n1,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
fof(f130,plain,
connection(in(n1,f),in(n1,h2(f))),
inference(resolution,[],[f41,f46]) ).
fof(f41,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(in(n1,X8),in(n1,h2(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
fof(f355,plain,
( ~ value(in(n2,and2(h2(f))),n1)
| ~ value(in(n1,and2(h2(f))),n1)
| value(out(n1,and2(h2(f))),n1) ),
inference(subsumption_resolution,[],[f349,f104]) ).
fof(f104,plain,
mode(and2(h2(f)),ok),
inference(subsumption_resolution,[],[f93,f53]) ).
fof(f53,axiom,
~ mode(and2(h2(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2) ).
fof(f93,plain,
( mode(and2(h2(f)),abnormal)
| mode(and2(h2(f)),ok) ),
inference(resolution,[],[f7,f67]) ).
fof(f67,plain,
type(and2(h2(f)),and),
inference(resolution,[],[f64,f23]) ).
fof(f349,plain,
( ~ mode(and2(h2(f)),ok)
| ~ value(in(n2,and2(h2(f))),n1)
| ~ value(in(n1,and2(h2(f))),n1)
| value(out(n1,and2(h2(f))),n1) ),
inference(resolution,[],[f9,f67]) ).
fof(f420,plain,
value(in(n1,or1(f)),n0),
inference(subsumption_resolution,[],[f418,f5]) ).
fof(f418,plain,
( equal_value(n1,n0)
| value(in(n1,or1(f)),n0) ),
inference(resolution,[],[f415,f341]) ).
fof(f341,plain,
( value(in(n1,not1(h2(f))),n0)
| value(in(n1,or1(f)),n0) ),
inference(subsumption_resolution,[],[f340,f280]) ).
fof(f280,plain,
( ~ mode(or1(f),ok)
| value(in(n1,or1(f)),n0) ),
inference(subsumption_resolution,[],[f279,f201]) ).
fof(f201,plain,
value(out(n1,or1(f)),n0),
inference(resolution,[],[f200,f74]) ).
fof(f74,plain,
! [X0] :
( ~ connection(out(c,f),X0)
| value(X0,n0) ),
inference(resolution,[],[f1,f51]) ).
fof(f51,axiom,
value(out(c,f),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
fof(f200,plain,
connection(out(c,f),out(n1,or1(f))),
inference(resolution,[],[f45,f46]) ).
fof(f45,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(out(c,X8),out(n1,or1(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
fof(f279,plain,
( ~ mode(or1(f),ok)
| ~ value(out(n1,or1(f)),n0)
| value(in(n1,or1(f)),n0) ),
inference(resolution,[],[f16,f69]) ).
fof(f69,plain,
type(or1(f),or),
inference(resolution,[],[f37,f46]) ).
fof(f37,axiom,
! [X8] :
( ~ type(X8,fulladder)
| type(or1(X8),or) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_or1) ).
fof(f16,axiom,
! [X6] :
( ~ type(X6,or)
| ~ mode(X6,ok)
| ~ value(out(n1,X6),n0)
| value(in(n1,X6),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_0_0x) ).
fof(f340,plain,
( value(in(n1,not1(h2(f))),n0)
| mode(or1(f),ok)
| value(in(n1,or1(f)),n0) ),
inference(resolution,[],[f339,f291]) ).
fof(f291,plain,
( value(out(n1,not1(h2(f))),n1)
| value(in(n1,or1(f)),n0) ),
inference(resolution,[],[f284,f212]) ).
fof(f212,plain,
connection(out(n1,not1(h2(f))),in(n2,and1(h2(f)))),
inference(resolution,[],[f34,f64]) ).
fof(f284,plain,
! [X0] :
( ~ connection(X0,in(n2,and1(h2(f))))
| value(in(n1,or1(f)),n0)
| value(X0,n1) ),
inference(resolution,[],[f281,f2]) ).
fof(f281,plain,
( value(in(n2,and1(h2(f))),n1)
| value(in(n1,or1(f)),n0) ),
inference(resolution,[],[f280,f276]) ).
fof(f276,plain,
( mode(or1(f),ok)
| value(in(n2,and1(h2(f))),n1) ),
inference(resolution,[],[f259,f115]) ).
fof(f115,plain,
( mode(and1(h2(f)),ok)
| mode(or1(f),ok) ),
inference(resolution,[],[f113,f98]) ).
fof(f98,plain,
( mode(or1(f),abnormal)
| mode(or1(f),ok) ),
inference(resolution,[],[f7,f69]) ).
fof(f113,plain,
( ~ mode(or1(f),abnormal)
| mode(and1(h2(f)),ok) ),
inference(resolution,[],[f91,f54]) ).
fof(f54,axiom,
( ~ mode(and1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
fof(f91,plain,
( mode(and1(h2(f)),abnormal)
| mode(and1(h2(f)),ok) ),
inference(resolution,[],[f7,f68]) ).
fof(f68,plain,
type(and1(h2(f)),and),
inference(resolution,[],[f64,f22]) ).
fof(f259,plain,
( ~ mode(and1(h2(f)),ok)
| value(in(n2,and1(h2(f))),n1) ),
inference(subsumption_resolution,[],[f255,f192]) ).
fof(f192,plain,
value(out(n1,and1(h2(f))),n1),
inference(resolution,[],[f189,f127]) ).
fof(f127,plain,
connection(out(s,h2(f)),out(n1,and1(h2(f)))),
inference(resolution,[],[f30,f64]) ).
fof(f189,plain,
! [X0] :
( ~ connection(out(s,h2(f)),X0)
| value(X0,n1) ),
inference(resolution,[],[f186,f1]) ).
fof(f186,plain,
value(out(s,h2(f)),n1),
inference(resolution,[],[f185,f73]) ).
fof(f73,plain,
! [X0] :
( ~ connection(out(s,f),X0)
| value(X0,n1) ),
inference(resolution,[],[f1,f50]) ).
fof(f50,axiom,
value(out(s,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).
fof(f185,plain,
connection(out(s,f),out(s,h2(f))),
inference(resolution,[],[f44,f46]) ).
fof(f44,axiom,
! [X8] :
( ~ type(X8,fulladder)
| connection(out(s,X8),out(s,h2(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).
fof(f255,plain,
( ~ mode(and1(h2(f)),ok)
| ~ value(out(n1,and1(h2(f))),n1)
| value(in(n2,and1(h2(f))),n1) ),
inference(resolution,[],[f12,f68]) ).
fof(f12,axiom,
! [X6] :
( ~ type(X6,and)
| ~ mode(X6,ok)
| ~ value(out(n1,X6),n1)
| value(in(n2,X6),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1_x1) ).
fof(f339,plain,
( ~ value(out(n1,not1(h2(f))),n1)
| value(in(n1,not1(h2(f))),n0)
| mode(or1(f),ok) ),
inference(resolution,[],[f332,f118]) ).
fof(f118,plain,
( mode(not1(h2(f)),ok)
| mode(or1(f),ok) ),
inference(resolution,[],[f116,f98]) ).
fof(f116,plain,
( ~ mode(or1(f),abnormal)
| mode(not1(h2(f)),ok) ),
inference(resolution,[],[f95,f52]) ).
fof(f52,axiom,
( ~ mode(not1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).
fof(f95,plain,
( mode(not1(h2(f)),abnormal)
| mode(not1(h2(f)),ok) ),
inference(resolution,[],[f7,f66]) ).
fof(f66,plain,
type(not1(h2(f)),not),
inference(resolution,[],[f64,f24]) ).
fof(f332,plain,
( ~ mode(not1(h2(f)),ok)
| ~ value(out(n1,not1(h2(f))),n1)
| value(in(n1,not1(h2(f))),n0) ),
inference(resolution,[],[f21,f66]) ).
fof(f21,axiom,
! [X6] :
( ~ type(X6,not)
| ~ mode(X6,ok)
| ~ value(out(n1,X6),n1)
| value(in(n1,X6),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_1_0_bw) ).
fof(f415,plain,
! [X0] :
( ~ value(in(n1,not1(h2(f))),X0)
| equal_value(n1,X0) ),
inference(resolution,[],[f413,f3]) ).
fof(f413,plain,
value(in(n1,not1(h2(f))),n1),
inference(resolution,[],[f397,f210]) ).
fof(f210,plain,
connection(out(n1,and2(h2(f))),in(n1,not1(h2(f)))),
inference(resolution,[],[f33,f64]) ).
fof(f397,plain,
! [X0] :
( ~ connection(out(n1,and2(h2(f))),X0)
| value(X0,n1) ),
inference(resolution,[],[f393,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HWV006-1 : TPTP v8.2.0. Released v2.1.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 11:20:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (4212)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (4218)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (4217)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (4216)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (4219)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (4213)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (4215)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.37 % (4214)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [5,2,5,max]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 % (4217)First to succeed.
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1,1,1,2]
% 0.13/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.38 Detected maximum model sizes of [5,2,5,max]
% 0.13/0.38 % (4217)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4212"
% 0.13/0.38 TRYING [1,1,1,1]
% 0.13/0.38 % (4217)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (4217)------------------------------
% 0.13/0.38 % (4217)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (4217)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (4217)Memory used [KB]: 973
% 0.13/0.38 % (4217)Time elapsed: 0.012 s
% 0.13/0.38 % (4217)Instructions burned: 22 (million)
% 0.13/0.38 % (4212)Success in time 0.028 s
%------------------------------------------------------------------------------