%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV007-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 : Fri Sep 25 01:37:38 PM UTC 2026
% Result : Unsatisfiable 5.12s 1.18s
% Output : Proof 5.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 46
% Syntax : Number of formulae : 281 ( 71 unt; 0 def)
% Number of atoms : 588 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 598 ( 291 ~; 307 |; 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 : 191 ( 10 sgn 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f33,axiom,
( connection(out(n1,not1(X)),in(n2,and1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
fof(f33_nnf,plain,
! [X] :
( connection(out(n1,not1(X)),in(n2,and1(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X] :
( connection(out(n1,not1(X)),in(n2,and1(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( connection(out(n1,not1(X0)),in(n2,and1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(f34,axiom,
( type(h1(X),halfadder)
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder1) ).
fof(f34_nnf,plain,
! [X] :
( type(h1(X),halfadder)
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X] :
( type(h1(X),halfadder)
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( type(h1(X0),halfadder)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(f45,hypothesis,
type(f,fulladder),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).
fof(f45_nnf,plain,
type(f,fulladder),
inference(nnf_transformation,[status(thm)],[f45]) ).
cnf(c45,plain,
type(f,fulladder),
inference(cnf_transformation,[status(esa)],[f45_nnf]) ).
cnf(p65,plain,
type(h1(f),halfadder),
inference(resolution,[status(thm)],[c34,c45]) ).
cnf(p187,plain,
connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
inference(resolution,[status(thm)],[c33,p65]) ).
cnf(f0,axiom,
( value(P2,V)
| ~ value(P1,V)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation1) ).
fof(f0_nnf,plain,
! [P1,P2,V] :
( value(P2,V)
| ~ value(P1,V)
| ~ connection(P1,P2) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [P1,P2,V] :
( value(P2,V)
| ~ value(P1,V)
| ~ connection(P1,P2) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( value(X1,X2)
| ~ value(X0,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p264,plain,
( value(in(n2,and1(h1(f))),X0)
| ~ value(out(n1,not1(h1(f))),X0) ),
inference(resolution,[status(thm)],[p187,c0]) ).
cnf(f32,axiom,
( connection(out(n1,and2(X)),in(n1,not1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
fof(f32_nnf,plain,
! [X] :
( connection(out(n1,and2(X)),in(n1,not1(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [X] :
( connection(out(n1,and2(X)),in(n1,not1(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( connection(out(n1,and2(X0)),in(n1,not1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p184,plain,
connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
inference(resolution,[status(thm)],[c32,p65]) ).
cnf(p260,plain,
( value(in(n1,not1(h1(f))),X0)
| ~ value(out(n1,and2(h1(f))),X0) ),
inference(resolution,[status(thm)],[p184,c0]) ).
cnf(f28,axiom,
( connection(in(n2,X),in(n2,and2(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).
fof(f28_nnf,plain,
! [X] :
( connection(in(n2,X),in(n2,and2(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X] :
( connection(in(n2,X),in(n2,and2(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( connection(in(n2,X0),in(n2,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p141,plain,
connection(in(n2,h1(f)),in(n2,and2(h1(f)))),
inference(resolution,[status(thm)],[c28,p65]) ).
cnf(p153,plain,
( value(in(n2,and2(h1(f))),X0)
| ~ value(in(n2,h1(f)),X0) ),
inference(resolution,[status(thm)],[p141,c0]) ).
cnf(f42,axiom,
( connection(in(c,X),in(n2,h1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).
fof(f42_nnf,plain,
! [X] :
( connection(in(c,X),in(n2,h1(X)))
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [X] :
( connection(in(c,X),in(n2,h1(X)))
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c42,plain,
( connection(in(c,X0),in(n2,h1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(p221,plain,
connection(in(c,f),in(n2,h1(f))),
inference(resolution,[status(thm)],[c42,c45]) ).
cnf(p230,plain,
( value(in(n2,h1(f)),X0)
| ~ value(in(c,f),X0) ),
inference(resolution,[status(thm)],[p221,c0]) ).
cnf(f48,hypothesis,
value(in(c,f),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).
fof(f48_nnf,plain,
value(in(c,f),n1),
inference(nnf_transformation,[status(thm)],[f48]) ).
cnf(c48,plain,
value(in(c,f),n1),
inference(cnf_transformation,[status(esa)],[f48_nnf]) ).
cnf(p282,plain,
value(in(n2,h1(f)),n1),
inference(resolution,[status(thm)],[p230,c48]) ).
cnf(p286,plain,
value(in(n2,and2(h1(f))),n1),
inference(resolution,[status(thm)],[p153,p282]) ).
cnf(f41,axiom,
( connection(in(n2,X),in(n1,h1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
fof(f41_nnf,plain,
! [X] :
( connection(in(n2,X),in(n1,h1(X)))
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [X] :
( connection(in(n2,X),in(n1,h1(X)))
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( connection(in(n2,X0),in(n1,h1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(p219,plain,
connection(in(n2,f),in(n1,h1(f))),
inference(resolution,[status(thm)],[c41,c45]) ).
cnf(p228,plain,
( value(in(n1,h1(f)),X0)
| ~ value(in(n2,f),X0) ),
inference(resolution,[status(thm)],[p219,c0]) ).
cnf(f47,hypothesis,
value(in(n2,f),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).
fof(f47_nnf,plain,
value(in(n2,f),n1),
inference(nnf_transformation,[status(thm)],[f47]) ).
cnf(c47,plain,
value(in(n2,f),n1),
inference(cnf_transformation,[status(esa)],[f47_nnf]) ).
cnf(p273,plain,
value(in(n1,h1(f)),n1),
inference(resolution,[status(thm)],[p228,c47]) ).
cnf(f27,axiom,
( connection(in(n1,X),in(n1,and2(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
fof(f27_nnf,plain,
! [X] :
( connection(in(n1,X),in(n1,and2(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X] :
( connection(in(n1,X),in(n1,and2(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( connection(in(n1,X0),in(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p134,plain,
connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
inference(resolution,[status(thm)],[c27,p65]) ).
cnf(p147,plain,
( value(in(n1,and2(h1(f))),X0)
| ~ value(in(n1,h1(f)),X0) ),
inference(resolution,[status(thm)],[p134,c0]) ).
cnf(p276,plain,
value(in(n1,and2(h1(f))),n1),
inference(resolution,[status(thm)],[p273,p147]) ).
cnf(f22,axiom,
( type(and2(X),and)
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and2) ).
fof(f22_nnf,plain,
! [X] :
( type(and2(X),and)
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X] :
( type(and2(X),and)
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p68,plain,
type(and2(h1(f)),and),
inference(resolution,[status(thm)],[p65,c22]) ).
cnf(f6,axiom,
( mode(K,abnormal)
| mode(K,ok)
| ~ type(K,Any) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ok_or_abnormal) ).
fof(f6_nnf,plain,
! [K,Any] :
( mode(K,abnormal)
| mode(K,ok)
| ~ type(K,Any) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [K,Any] :
( mode(K,abnormal)
| mode(K,ok)
| ~ type(K,Any) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( mode(X0,abnormal)
| mode(X0,ok)
| ~ type(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p72,plain,
( mode(and2(h1(f)),abnormal)
| mode(and2(h1(f)),ok) ),
inference(resolution,[status(thm)],[p68,c6]) ).
cnf(f51,negated_conjecture,
~ mode(and2(h1(f)),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).
fof(f51_nnf,plain,
~ mode(and2(h1(f)),abnormal),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
~ mode(and2(h1(f)),abnormal),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c51,plain,
~ mode(and2(h1(f)),abnormal),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(p109,plain,
mode(and2(h1(f)),ok),
inference(resolution,[status(thm)],[p72,c51]) ).
cnf(f8,axiom,
( value(out(n1,K),n1)
| ~ value(in(n2,K),n1)
| ~ value(in(n1,K),n1)
| ~ type(K,and)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_11_1) ).
fof(f8_nnf,plain,
! [K] :
( value(out(n1,K),n1)
| ~ value(in(n2,K),n1)
| ~ value(in(n1,K),n1)
| ~ type(K,and)
| ~ mode(K,ok) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [K] :
( value(out(n1,K),n1)
| ~ value(in(n2,K),n1)
| ~ value(in(n1,K),n1)
| ~ type(K,and)
| ~ mode(K,ok) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( value(out(n1,X0),n1)
| ~ value(in(n2,X0),n1)
| ~ value(in(n1,X0),n1)
| ~ type(X0,and)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p111,plain,
( value(out(n1,and2(h1(f))),n1)
| ~ value(in(n2,and2(h1(f))),n1)
| ~ value(in(n1,and2(h1(f))),n1)
| ~ type(and2(h1(f)),and) ),
inference(resolution,[status(thm)],[p109,c8]) ).
cnf(p133,plain,
( value(out(n1,and2(h1(f))),n1)
| ~ value(in(n2,and2(h1(f))),n1)
| ~ value(in(n1,and2(h1(f))),n1) ),
inference(resolution,[status(thm)],[p111,p68]) ).
cnf(p279,plain,
( value(out(n1,and2(h1(f))),n1)
| ~ value(in(n2,and2(h1(f))),n1) ),
inference(resolution,[status(thm)],[p276,p133]) ).
cnf(p288,plain,
value(out(n1,and2(h1(f))),n1),
inference(resolution,[status(thm)],[p286,p279]) ).
cnf(p307,plain,
value(in(n1,not1(h1(f))),n1),
inference(resolution,[status(thm)],[p260,p288]) ).
cnf(f23,axiom,
( type(not1(X),not)
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_not1) ).
fof(f23_nnf,plain,
! [X] :
( type(not1(X),not)
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X] :
( type(not1(X),not)
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( type(not1(X0),not)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p69,plain,
type(not1(h1(f)),not),
inference(resolution,[status(thm)],[p65,c23]) ).
cnf(p73,plain,
( mode(not1(h1(f)),abnormal)
| mode(not1(h1(f)),ok) ),
inference(resolution,[status(thm)],[p69,c6]) ).
cnf(f36,axiom,
( type(or1(X),or)
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_or1) ).
fof(f36_nnf,plain,
! [X] :
( type(or1(X),or)
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [X] :
( type(or1(X),or)
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
( type(or1(X0),or)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p85,plain,
type(or1(f),or),
inference(resolution,[status(thm)],[c36,c45]) ).
cnf(p86,plain,
( mode(or1(f),abnormal)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p85,c6]) ).
cnf(f53,negated_conjecture,
( ~ mode(not1(h1(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h1) ).
fof(f53_nnf,plain,
( ~ mode(not1(h1(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
( ~ mode(not1(h1(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
( ~ mode(not1(h1(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(p88,plain,
( ~ mode(not1(h1(f)),abnormal)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p86,c53]) ).
cnf(p167,plain,
( mode(or1(f),ok)
| mode(not1(h1(f)),ok) ),
inference(resolution,[status(thm)],[p73,p88]) ).
cnf(f18,axiom,
( value(out(n1,K),n0)
| ~ value(in(n1,K),n1)
| ~ type(K,not)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_1_0_fw) ).
fof(f18_nnf,plain,
! [K] :
( value(out(n1,K),n0)
| ~ value(in(n1,K),n1)
| ~ type(K,not)
| ~ mode(K,ok) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [K] :
( value(out(n1,K),n0)
| ~ value(in(n1,K),n1)
| ~ type(K,not)
| ~ mode(K,ok) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( value(out(n1,X0),n0)
| ~ value(in(n1,X0),n1)
| ~ type(X0,not)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p179,plain,
( value(out(n1,not1(h1(f))),n0)
| ~ value(in(n1,not1(h1(f))),n1)
| ~ type(not1(h1(f)),not)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p167,c18]) ).
cnf(p189,plain,
( value(out(n1,not1(h1(f))),n0)
| ~ value(in(n1,not1(h1(f))),n1)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p179,p69]) ).
cnf(p309,plain,
( value(out(n1,not1(h1(f))),n0)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p307,p189]) ).
cnf(p334,plain,
( mode(or1(f),ok)
| value(in(n2,and1(h1(f))),n0) ),
inference(resolution,[status(thm)],[p264,p309]) ).
cnf(f21,axiom,
( type(and1(X),and)
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and1) ).
fof(f21_nnf,plain,
! [X] :
( type(and1(X),and)
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X] :
( type(and1(X),and)
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( type(and1(X0),and)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p67,plain,
type(and1(h1(f)),and),
inference(resolution,[status(thm)],[p65,c21]) ).
cnf(p71,plain,
( mode(and1(h1(f)),abnormal)
| mode(and1(h1(f)),ok) ),
inference(resolution,[status(thm)],[p67,c6]) ).
cnf(f52,negated_conjecture,
( ~ mode(and1(h1(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h1) ).
fof(f52_nnf,plain,
( ~ mode(and1(h1(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
( ~ mode(and1(h1(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c52,plain,
( ~ mode(and1(h1(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p89,plain,
( ~ mode(and1(h1(f)),abnormal)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p86,c52]) ).
cnf(p91,plain,
( mode(or1(f),ok)
| mode(and1(h1(f)),ok) ),
inference(resolution,[status(thm)],[p71,p89]) ).
cnf(f7,axiom,
( value(out(n1,K),n0)
| ~ value(in(Any,K),n0)
| ~ type(K,and)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_0x_0) ).
fof(f7_nnf,plain,
! [K,Any] :
( value(out(n1,K),n0)
| ~ value(in(Any,K),n0)
| ~ type(K,and)
| ~ mode(K,ok) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [K,Any] :
( value(out(n1,K),n0)
| ~ value(in(Any,K),n0)
| ~ type(K,and)
| ~ mode(K,ok) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( value(out(n1,X0),n0)
| ~ value(in(X1,X0),n0)
| ~ type(X0,and)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p92,plain,
( value(out(n1,and1(h1(f))),n0)
| ~ value(in(X0,and1(h1(f))),n0)
| ~ type(and1(h1(f)),and)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p91,c7]) ).
cnf(p100,plain,
( value(out(n1,and1(h1(f))),n0)
| ~ value(in(X0,and1(h1(f))),n0)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p92,p67]) ).
cnf(p336,plain,
( value(out(n1,and1(h1(f))),n0)
| mode(or1(f),ok)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p334,p100]) ).
cnf(p337,plain,
( value(out(n1,and1(h1(f))),n0)
| mode(or1(f),ok) ),
inference(factoring,[status(thm)],[p336]) ).
cnf(f29,axiom,
( connection(out(s,X),out(n1,and1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
fof(f29_nnf,plain,
! [X] :
( connection(out(s,X),out(n1,and1(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X] :
( connection(out(s,X),out(n1,and1(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( connection(out(s,X0),out(n1,and1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p151,plain,
connection(out(s,h1(f)),out(n1,and1(h1(f)))),
inference(resolution,[status(thm)],[c29,p65]) ).
cnf(f1,axiom,
( value(P1,V)
| ~ value(P2,V)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation2) ).
fof(f1_nnf,plain,
! [P1,P2,V] :
( value(P1,V)
| ~ value(P2,V)
| ~ connection(P1,P2) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [P1,P2,V] :
( value(P1,V)
| ~ value(P2,V)
| ~ connection(P1,P2) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( value(X0,X2)
| ~ value(X1,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p158,plain,
( value(out(s,h1(f)),X0)
| ~ value(out(n1,and1(h1(f))),X0) ),
inference(resolution,[status(thm)],[p151,c1]) ).
cnf(p339,plain,
( value(out(s,h1(f)),n0)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p337,p158]) ).
cnf(f37,axiom,
( connection(out(s,h1(X)),in(n2,h2(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).
fof(f37_nnf,plain,
! [X] :
( connection(out(s,h1(X)),in(n2,h2(X)))
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [X] :
( connection(out(s,h1(X)),in(n2,h2(X)))
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( connection(out(s,h1(X0)),in(n2,h2(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(p191,plain,
connection(out(s,h1(f)),in(n2,h2(f))),
inference(resolution,[status(thm)],[c37,c45]) ).
cnf(p194,plain,
( value(in(n2,h2(f)),X0)
| ~ value(out(s,h1(f)),X0) ),
inference(resolution,[status(thm)],[p191,c0]) ).
cnf(p341,plain,
( value(in(n2,h2(f)),n0)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p339,p194]) ).
cnf(f26,axiom,
( connection(in(n2,X),in(n2,or1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).
fof(f26_nnf,plain,
! [X] :
( connection(in(n2,X),in(n2,or1(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X] :
( connection(in(n2,X),in(n2,or1(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( connection(in(n2,X0),in(n2,or1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(f35,axiom,
( type(h2(X),halfadder)
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder2) ).
fof(f35_nnf,plain,
! [X] :
( type(h2(X),halfadder)
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
! [X] :
( type(h2(X),halfadder)
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( type(h2(X0),halfadder)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(p75,plain,
type(h2(f),halfadder),
inference(resolution,[status(thm)],[c35,c45]) ).
cnf(p132,plain,
connection(in(n2,h2(f)),in(n2,or1(h2(f)))),
inference(resolution,[status(thm)],[c26,p75]) ).
cnf(p145,plain,
( value(in(n2,or1(h2(f))),X0)
| ~ value(in(n2,h2(f)),X0) ),
inference(resolution,[status(thm)],[p132,c0]) ).
cnf(p343,plain,
( value(in(n2,or1(h2(f))),n0)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p341,p145]) ).
cnf(f40,axiom,
( connection(in(n1,X),in(n1,h2(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
fof(f40_nnf,plain,
! [X] :
( connection(in(n1,X),in(n1,h2(X)))
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X] :
( connection(in(n1,X),in(n1,h2(X)))
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( connection(in(n1,X0),in(n1,h2(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(p216,plain,
connection(in(n1,f),in(n1,h2(f))),
inference(resolution,[status(thm)],[c40,c45]) ).
cnf(p226,plain,
( value(in(n1,h2(f)),X0)
| ~ value(in(n1,f),X0) ),
inference(resolution,[status(thm)],[p216,c0]) ).
cnf(f46,hypothesis,
value(in(n1,f),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
fof(f46_nnf,plain,
value(in(n1,f),n0),
inference(nnf_transformation,[status(thm)],[f46]) ).
cnf(c46,plain,
value(in(n1,f),n0),
inference(cnf_transformation,[status(esa)],[f46_nnf]) ).
cnf(p268,plain,
value(in(n1,h2(f)),n0),
inference(resolution,[status(thm)],[p226,c46]) ).
cnf(f25,axiom,
( connection(in(n1,X),in(n1,or1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).
fof(f25_nnf,plain,
! [X] :
( connection(in(n1,X),in(n1,or1(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X] :
( connection(in(n1,X),in(n1,or1(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( connection(in(n1,X0),in(n1,or1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p130,plain,
connection(in(n1,h2(f)),in(n1,or1(h2(f)))),
inference(resolution,[status(thm)],[c25,p75]) ).
cnf(p139,plain,
( value(in(n1,or1(h2(f))),X0)
| ~ value(in(n1,h2(f)),X0) ),
inference(resolution,[status(thm)],[p130,c0]) ).
cnf(p270,plain,
value(in(n1,or1(h2(f))),n0),
inference(resolution,[status(thm)],[p268,p139]) ).
cnf(f24,axiom,
( type(or1(X),or)
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_or1) ).
fof(f24_nnf,plain,
! [X] :
( type(or1(X),or)
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X] :
( type(or1(X),or)
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( type(or1(X0),or)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p80,plain,
type(or1(h2(f)),or),
inference(resolution,[status(thm)],[p75,c24]) ).
cnf(p84,plain,
( mode(or1(h2(f)),abnormal)
| mode(or1(h2(f)),ok) ),
inference(resolution,[status(thm)],[p80,c6]) ).
cnf(f55,negated_conjecture,
( ~ mode(or1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_or1h2) ).
fof(f55_nnf,plain,
( ~ mode(or1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(nnf_transformation,[status(thm)],[f55]) ).
fof(f55_sk,plain,
( ~ mode(or1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(skolemisation,[status(esa)],[f55_nnf]) ).
cnf(c55,plain,
( ~ mode(or1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p90,plain,
( ~ mode(or1(h2(f)),abnormal)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p86,c55]) ).
cnf(p236,plain,
( mode(or1(f),ok)
| mode(or1(h2(f)),ok) ),
inference(resolution,[status(thm)],[p84,p90]) ).
cnf(f13,axiom,
( value(out(n1,K),n0)
| ~ value(in(n2,K),n0)
| ~ value(in(n1,K),n0)
| ~ type(K,or)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_00_0) ).
fof(f13_nnf,plain,
! [K] :
( value(out(n1,K),n0)
| ~ value(in(n2,K),n0)
| ~ value(in(n1,K),n0)
| ~ type(K,or)
| ~ mode(K,ok) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [K] :
( value(out(n1,K),n0)
| ~ value(in(n2,K),n0)
| ~ value(in(n1,K),n0)
| ~ type(K,or)
| ~ mode(K,ok) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( value(out(n1,X0),n0)
| ~ value(in(n2,X0),n0)
| ~ value(in(n1,X0),n0)
| ~ type(X0,or)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p243,plain,
( value(out(n1,or1(h2(f))),n0)
| ~ value(in(n2,or1(h2(f))),n0)
| ~ value(in(n1,or1(h2(f))),n0)
| ~ type(or1(h2(f)),or)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p236,c13]) ).
cnf(p254,plain,
( value(out(n1,or1(h2(f))),n0)
| ~ value(in(n2,or1(h2(f))),n0)
| ~ value(in(n1,or1(h2(f))),n0)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p243,p80]) ).
cnf(p272,plain,
( value(out(n1,or1(h2(f))),n0)
| ~ value(in(n2,or1(h2(f))),n0)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p270,p254]) ).
cnf(p347,plain,
( value(out(n1,or1(h2(f))),n0)
| mode(or1(f),ok)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p343,p272]) ).
cnf(p364,plain,
( value(out(n1,or1(h2(f))),n0)
| mode(or1(f),ok) ),
inference(factoring,[status(thm)],[p347]) ).
cnf(f31,axiom,
( connection(out(n1,or1(X)),in(n1,and1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
fof(f31_nnf,plain,
! [X] :
( connection(out(n1,or1(X)),in(n1,and1(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X] :
( connection(out(n1,or1(X)),in(n1,and1(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( connection(out(n1,or1(X0)),in(n1,and1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p183,plain,
connection(out(n1,or1(h2(f))),in(n1,and1(h2(f)))),
inference(resolution,[status(thm)],[c31,p75]) ).
cnf(p259,plain,
( value(out(n1,or1(h2(f))),X0)
| ~ value(in(n1,and1(h2(f))),X0) ),
inference(resolution,[status(thm)],[p183,c1]) ).
cnf(p152,plain,
connection(out(s,h2(f)),out(n1,and1(h2(f)))),
inference(resolution,[status(thm)],[c29,p75]) ).
cnf(p159,plain,
( value(out(n1,and1(h2(f))),X0)
| ~ value(out(s,h2(f)),X0) ),
inference(resolution,[status(thm)],[p152,c0]) ).
cnf(f43,axiom,
( connection(out(s,X),out(s,h2(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).
fof(f43_nnf,plain,
! [X] :
( connection(out(s,X),out(s,h2(X)))
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
! [X] :
( connection(out(s,X),out(s,h2(X)))
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c43,plain,
( connection(out(s,X0),out(s,h2(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p222,plain,
connection(out(s,f),out(s,h2(f))),
inference(resolution,[status(thm)],[c43,c45]) ).
cnf(p232,plain,
( value(out(s,h2(f)),X0)
| ~ value(out(s,f),X0) ),
inference(resolution,[status(thm)],[p222,c0]) ).
cnf(f49,hypothesis,
value(out(s,f),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).
fof(f49_nnf,plain,
value(out(s,f),n1),
inference(nnf_transformation,[status(thm)],[f49]) ).
cnf(c49,plain,
value(out(s,f),n1),
inference(cnf_transformation,[status(esa)],[f49_nnf]) ).
cnf(p290,plain,
value(out(s,h2(f)),n1),
inference(resolution,[status(thm)],[p232,c49]) ).
cnf(p294,plain,
value(out(n1,and1(h2(f))),n1),
inference(resolution,[status(thm)],[p159,p290]) ).
cnf(p77,plain,
type(and1(h2(f)),and),
inference(resolution,[status(thm)],[p75,c21]) ).
cnf(p81,plain,
( mode(and1(h2(f)),abnormal)
| mode(and1(h2(f)),ok) ),
inference(resolution,[status(thm)],[p77,c6]) ).
cnf(f54,negated_conjecture,
( ~ mode(and1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
fof(f54_nnf,plain,
( ~ mode(and1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
( ~ mode(and1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c54,plain,
( ~ mode(and1(h2(f)),abnormal)
| ~ mode(or1(f),abnormal) ),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
cnf(p87,plain,
( ~ mode(and1(h2(f)),abnormal)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p86,c54]) ).
cnf(p201,plain,
( mode(or1(f),ok)
| mode(and1(h2(f)),ok) ),
inference(resolution,[status(thm)],[p81,p87]) ).
cnf(f10,axiom,
( value(in(n1,K),n1)
| ~ value(out(n1,K),n1)
| ~ type(K,and)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_1x) ).
fof(f10_nnf,plain,
! [K] :
( value(in(n1,K),n1)
| ~ value(out(n1,K),n1)
| ~ type(K,and)
| ~ mode(K,ok) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [K] :
( value(in(n1,K),n1)
| ~ value(out(n1,K),n1)
| ~ type(K,and)
| ~ mode(K,ok) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( value(in(n1,X0),n1)
| ~ value(out(n1,X0),n1)
| ~ type(X0,and)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p205,plain,
( value(in(n1,and1(h2(f))),n1)
| ~ value(out(n1,and1(h2(f))),n1)
| ~ type(and1(h2(f)),and)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p201,c10]) ).
cnf(p218,plain,
( value(in(n1,and1(h2(f))),n1)
| ~ value(out(n1,and1(h2(f))),n1)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p205,p77]) ).
cnf(p296,plain,
( value(in(n1,and1(h2(f))),n1)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p294,p218]) ).
cnf(p304,plain,
( mode(or1(f),ok)
| value(out(n1,or1(h2(f))),n1) ),
inference(resolution,[status(thm)],[p259,p296]) ).
cnf(f2,axiom,
( equal_value(V1,V2)
| ~ value(P,V2)
| ~ value(P,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_value) ).
fof(f2_nnf,plain,
! [P,V1,V2] :
( equal_value(V1,V2)
| ~ value(P,V2)
| ~ value(P,V1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [P,V1,V2] :
( equal_value(V1,V2)
| ~ value(P,V2)
| ~ value(P,V1) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p305,plain,
( equal_value(n1,X0)
| ~ value(out(n1,or1(h2(f))),X0)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p304,c2]) ).
cnf(p367,plain,
( equal_value(n1,n0)
| mode(or1(f),ok)
| mode(or1(f),ok) ),
inference(resolution,[status(thm)],[p364,p305]) ).
cnf(p371,plain,
( equal_value(n1,n0)
| mode(or1(f),ok) ),
inference(factoring,[status(thm)],[p367]) ).
cnf(f12,axiom,
( value(out(n1,K),n1)
| ~ value(in(Any,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1x_1) ).
fof(f12_nnf,plain,
! [K,Any] :
( value(out(n1,K),n1)
| ~ value(in(Any,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [K,Any] :
( value(out(n1,K),n1)
| ~ value(in(Any,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( value(out(n1,X0),n1)
| ~ value(in(X1,X0),n1)
| ~ type(X0,or)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p376,plain,
( value(out(n1,or1(f)),n1)
| ~ value(in(X0,or1(f)),n1)
| ~ type(or1(f),or)
| equal_value(n1,n0) ),
inference(resolution,[status(thm)],[p371,c12]) ).
cnf(p403,plain,
( value(out(n1,or1(f)),n1)
| ~ value(in(X0,or1(f)),n1)
| equal_value(n1,n0) ),
inference(resolution,[status(thm)],[p376,p85]) ).
cnf(f30,axiom,
( connection(out(c,X),out(n1,and2(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f30_nnf,plain,
! [X] :
( connection(out(c,X),out(n1,and2(X)))
| ~ type(X,halfadder) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X] :
( connection(out(c,X),out(n1,and2(X)))
| ~ type(X,halfadder) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p161,plain,
connection(out(c,h1(f)),out(n1,and2(h1(f)))),
inference(resolution,[status(thm)],[c30,p65]) ).
cnf(p164,plain,
( value(out(c,h1(f)),X0)
| ~ value(out(n1,and2(h1(f))),X0) ),
inference(resolution,[status(thm)],[p161,c1]) ).
cnf(p300,plain,
value(out(c,h1(f)),n1),
inference(resolution,[status(thm)],[p164,p288]) ).
cnf(f38,axiom,
( connection(out(c,h1(X)),in(n2,or1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).
fof(f38_nnf,plain,
! [X] :
( connection(out(c,h1(X)),in(n2,or1(X)))
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [X] :
( connection(out(c,h1(X)),in(n2,or1(X)))
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( connection(out(c,h1(X0)),in(n2,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(p193,plain,
connection(out(c,h1(f)),in(n2,or1(f))),
inference(resolution,[status(thm)],[c38,c45]) ).
cnf(p196,plain,
( value(in(n2,or1(f)),X0)
| ~ value(out(c,h1(f)),X0) ),
inference(resolution,[status(thm)],[p193,c0]) ).
cnf(p302,plain,
value(in(n2,or1(f)),n1),
inference(resolution,[status(thm)],[p300,p196]) ).
cnf(p404,plain,
( value(out(n1,or1(f)),n1)
| equal_value(n1,n0) ),
inference(resolution,[status(thm)],[p403,p302]) ).
cnf(f44,axiom,
( connection(out(c,X),out(n1,or1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
fof(f44_nnf,plain,
! [X] :
( connection(out(c,X),out(n1,or1(X)))
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [X] :
( connection(out(c,X),out(n1,or1(X)))
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( connection(out(c,X0),out(n1,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p225,plain,
connection(out(c,f),out(n1,or1(f))),
inference(resolution,[status(thm)],[c44,c45]) ).
cnf(p234,plain,
( value(out(n1,or1(f)),X0)
| ~ value(out(c,f),X0) ),
inference(resolution,[status(thm)],[p225,c0]) ).
cnf(f50,hypothesis,
value(out(c,f),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
fof(f50_nnf,plain,
value(out(c,f),n0),
inference(nnf_transformation,[status(thm)],[f50]) ).
cnf(c50,plain,
value(out(c,f),n0),
inference(cnf_transformation,[status(esa)],[f50_nnf]) ).
cnf(p292,plain,
value(out(n1,or1(f)),n0),
inference(resolution,[status(thm)],[p234,c50]) ).
cnf(p293,plain,
( equal_value(n0,X0)
| ~ value(out(n1,or1(f)),X0) ),
inference(resolution,[status(thm)],[p292,c2]) ).
cnf(p406,plain,
( equal_value(n0,n1)
| equal_value(n1,n0) ),
inference(resolution,[status(thm)],[p404,p293]) ).
cnf(f4,axiom,
~ equal_value(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_value2) ).
fof(f4_nnf,plain,
~ equal_value(n1,n0),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
~ equal_value(n1,n0),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ equal_value(n1,n0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p408,plain,
equal_value(n0,n1),
inference(resolution,[status(thm)],[p406,c4]) ).
cnf(f3,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_value1) ).
fof(f3_nnf,plain,
~ equal_value(n0,n1),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
~ equal_value(n0,n1),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ equal_value(n0,n1),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p409,plain,
$false,
inference(resolution,[status(thm)],[p408,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV007-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 16:24:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.12/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.12/1.18 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------