%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV008-1.002 : TPTP v9.3.1. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 0.06s 5.96s
% Output : Proof 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 30
% Syntax : Number of formulae : 179 ( 67 unt; 0 def)
% Number of atoms : 333 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 309 ( 155 ~; 154 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 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 : 134 ( 8 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f46,axiom,
( type(f(n2,X),fulladder)
| ~ type(X,nbit_adder(n2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_fulladder2) ).
fof(f46_nnf,plain,
! [X] :
( type(f(n2,X),fulladder)
| ~ type(X,nbit_adder(n2)) ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
! [X] :
( type(f(n2,X),fulladder)
| ~ type(X,nbit_adder(n2)) ),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c46,plain,
( type(f(n2,X0),fulladder)
| ~ type(X0,nbit_adder(n2)) ),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(f56,hypothesis,
type(a,nbit_adder(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_isa_2bit_adder) ).
fof(f56_nnf,plain,
type(a,nbit_adder(n2)),
inference(nnf_transformation,[status(thm)],[f56]) ).
cnf(c56,plain,
type(a,nbit_adder(n2)),
inference(cnf_transformation,[status(esa)],[f56_nnf]) ).
cnf(p104,plain,
type(f(n2,a),fulladder),
inference(resolution,[status(thm)],[c46,c56]) ).
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(p107,plain,
type(h2(f(n2,a)),halfadder),
inference(resolution,[status(thm)],[p104,c35]) ).
cnf(p151,plain,
connection(out(c,h2(f(n2,a))),out(n1,and2(h2(f(n2,a))))),
inference(resolution,[status(thm)],[c30,p107]) ).
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(p362,plain,
( value(out(c,h2(f(n2,a))),X0)
| ~ value(out(n1,and2(h2(f(n2,a)))),X0) ),
inference(resolution,[status(thm)],[p151,c1]) ).
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(p139,plain,
connection(in(n1,h2(f(n2,a))),in(n1,and2(h2(f(n2,a))))),
inference(resolution,[status(thm)],[c27,p107]) ).
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(p337,plain,
( value(in(n1,and2(h2(f(n2,a)))),X0)
| ~ value(in(n1,h2(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[p139,c0]) ).
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(p153,plain,
connection(in(n1,f(n2,a)),in(n1,h2(f(n2,a)))),
inference(resolution,[status(thm)],[c40,p104]) ).
cnf(p164,plain,
( value(in(n1,h2(f(n2,a))),X0)
| ~ value(in(n1,f(n2,a)),X0) ),
inference(resolution,[status(thm)],[p153,c0]) ).
cnf(f52,axiom,
( connection(in(a2,X),in(n1,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_ina2_in1f2) ).
fof(f52_nnf,plain,
! [X] :
( connection(in(a2,X),in(n1,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [X] :
( connection(in(a2,X),in(n1,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c52,plain,
( connection(in(a2,X0),in(n1,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p227,plain,
connection(in(a2,a),in(n1,f(n2,a))),
inference(resolution,[status(thm)],[c52,c56]) ).
cnf(p237,plain,
( value(in(n1,f(n2,a)),X0)
| ~ value(in(a2,a),X0) ),
inference(resolution,[status(thm)],[p227,c0]) ).
cnf(f58,hypothesis,
value(in(a2,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ina2_0) ).
fof(f58_nnf,plain,
value(in(a2,a),n0),
inference(nnf_transformation,[status(thm)],[f58]) ).
cnf(c58,plain,
value(in(a2,a),n0),
inference(cnf_transformation,[status(esa)],[f58_nnf]) ).
cnf(p269,plain,
value(in(n1,f(n2,a)),n0),
inference(resolution,[status(thm)],[p237,c58]) ).
cnf(p379,plain,
value(in(n1,h2(f(n2,a))),n0),
inference(resolution,[status(thm)],[p164,p269]) ).
cnf(p421,plain,
value(in(n1,and2(h2(f(n2,a)))),n0),
inference(resolution,[status(thm)],[p337,p379]) ).
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(p116,plain,
type(and2(h2(f(n2,a))),and),
inference(resolution,[status(thm)],[p107,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(p125,plain,
( mode(and2(h2(f(n2,a))),abnormal)
| mode(and2(h2(f(n2,a))),ok) ),
inference(resolution,[status(thm)],[p116,c6]) ).
cnf(f67,negated_conjecture,
~ mode(and2(h2(f(n2,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1f2a) ).
fof(f67_nnf,plain,
~ mode(and2(h2(f(n2,a))),abnormal),
inference(nnf_transformation,[status(thm)],[f67]) ).
fof(f67_sk,plain,
~ mode(and2(h2(f(n2,a))),abnormal),
inference(skolemisation,[status(esa)],[f67_nnf]) ).
cnf(c67,plain,
~ mode(and2(h2(f(n2,a))),abnormal),
inference(cnf_transformation,[status(esa)],[f67_sk]) ).
cnf(p300,plain,
mode(and2(h2(f(n2,a))),ok),
inference(resolution,[status(thm)],[p125,c67]) ).
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(p301,plain,
( value(out(n1,and2(h2(f(n2,a)))),n0)
| ~ value(in(X0,and2(h2(f(n2,a)))),n0)
| ~ type(and2(h2(f(n2,a))),and) ),
inference(resolution,[status(thm)],[p300,c7]) ).
cnf(p315,plain,
( value(out(n1,and2(h2(f(n2,a)))),n0)
| ~ value(in(X0,and2(h2(f(n2,a)))),n0) ),
inference(resolution,[status(thm)],[p301,p116]) ).
cnf(p423,plain,
value(out(n1,and2(h2(f(n2,a)))),n0),
inference(resolution,[status(thm)],[p421,p315]) ).
cnf(p442,plain,
value(out(c,h2(f(n2,a))),n0),
inference(resolution,[status(thm)],[p362,p423]) ).
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(p443,plain,
( equal_value(n0,X0)
| ~ value(out(c,h2(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[p442,c2]) ).
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(p106,plain,
type(h1(f(n2,a)),halfadder),
inference(resolution,[status(thm)],[p104,c34]) ).
cnf(p150,plain,
connection(out(c,h1(f(n2,a))),out(n1,and2(h1(f(n2,a))))),
inference(resolution,[status(thm)],[c30,p106]) ).
cnf(p360,plain,
( value(out(c,h1(f(n2,a))),X0)
| ~ value(out(n1,and2(h1(f(n2,a)))),X0) ),
inference(resolution,[status(thm)],[p150,c1]) ).
cnf(p138,plain,
connection(in(n1,h1(f(n2,a))),in(n1,and2(h1(f(n2,a))))),
inference(resolution,[status(thm)],[c27,p106]) ).
cnf(p335,plain,
( value(in(n1,and2(h1(f(n2,a)))),X0)
| ~ value(in(n1,h1(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[p138,c0]) ).
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(p155,plain,
connection(in(n2,f(n2,a)),in(n1,h1(f(n2,a)))),
inference(resolution,[status(thm)],[c41,p104]) ).
cnf(p172,plain,
( value(in(n1,h1(f(n2,a))),X0)
| ~ value(in(n2,f(n2,a)),X0) ),
inference(resolution,[status(thm)],[p155,c0]) ).
cnf(f53,axiom,
( connection(in(b2,X),in(n2,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_inb2_in2f2) ).
fof(f53_nnf,plain,
! [X] :
( connection(in(b2,X),in(n2,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
! [X] :
( connection(in(b2,X),in(n2,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
( connection(in(b2,X0),in(n2,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(p230,plain,
connection(in(b2,a),in(n2,f(n2,a))),
inference(resolution,[status(thm)],[c53,c56]) ).
cnf(p240,plain,
( value(in(n2,f(n2,a)),X0)
| ~ value(in(b2,a),X0) ),
inference(resolution,[status(thm)],[p230,c0]) ).
cnf(f60,hypothesis,
value(in(b2,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inb2_0) ).
fof(f60_nnf,plain,
value(in(b2,a),n0),
inference(nnf_transformation,[status(thm)],[f60]) ).
cnf(c60,plain,
value(in(b2,a),n0),
inference(cnf_transformation,[status(esa)],[f60_nnf]) ).
cnf(p271,plain,
value(in(n2,f(n2,a)),n0),
inference(resolution,[status(thm)],[p240,c60]) ).
cnf(p393,plain,
value(in(n1,h1(f(n2,a))),n0),
inference(resolution,[status(thm)],[p172,p271]) ).
cnf(p417,plain,
value(in(n1,and2(h1(f(n2,a)))),n0),
inference(resolution,[status(thm)],[p335,p393]) ).
cnf(p111,plain,
type(and2(h1(f(n2,a))),and),
inference(resolution,[status(thm)],[p106,c22]) ).
cnf(p121,plain,
( mode(and2(h1(f(n2,a))),abnormal)
| mode(and2(h1(f(n2,a))),ok) ),
inference(resolution,[status(thm)],[p111,c6]) ).
cnf(f66,negated_conjecture,
~ mode(and2(h1(f(n2,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h2f2a) ).
fof(f66_nnf,plain,
~ mode(and2(h1(f(n2,a))),abnormal),
inference(nnf_transformation,[status(thm)],[f66]) ).
fof(f66_sk,plain,
~ mode(and2(h1(f(n2,a))),abnormal),
inference(skolemisation,[status(esa)],[f66_nnf]) ).
cnf(c66,plain,
~ mode(and2(h1(f(n2,a))),abnormal),
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
cnf(p281,plain,
mode(and2(h1(f(n2,a))),ok),
inference(resolution,[status(thm)],[p121,c66]) ).
cnf(p282,plain,
( value(out(n1,and2(h1(f(n2,a)))),n0)
| ~ value(in(X0,and2(h1(f(n2,a)))),n0)
| ~ type(and2(h1(f(n2,a))),and) ),
inference(resolution,[status(thm)],[p281,c7]) ).
cnf(p296,plain,
( value(out(n1,and2(h1(f(n2,a)))),n0)
| ~ value(in(X0,and2(h1(f(n2,a)))),n0) ),
inference(resolution,[status(thm)],[p282,p111]) ).
cnf(p419,plain,
value(out(n1,and2(h1(f(n2,a)))),n0),
inference(resolution,[status(thm)],[p417,p296]) ).
cnf(p428,plain,
value(out(c,h1(f(n2,a))),n0),
inference(resolution,[status(thm)],[p360,p419]) ).
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(p197,plain,
connection(out(c,h1(f(n2,a))),in(n2,or1(f(n2,a)))),
inference(resolution,[status(thm)],[c38,p104]) ).
cnf(p254,plain,
( value(out(c,h1(f(n2,a))),X0)
| ~ value(in(n2,or1(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[p197,c1]) ).
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(p161,plain,
connection(out(c,f(n2,a)),out(n1,or1(f(n2,a)))),
inference(resolution,[status(thm)],[c44,p104]) ).
cnf(p188,plain,
( value(out(n1,or1(f(n2,a))),X0)
| ~ value(out(c,f(n2,a)),X0) ),
inference(resolution,[status(thm)],[p161,c0]) ).
cnf(f49,axiom,
( connection(out(c,X),out(c,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).
fof(f49_nnf,plain,
! [X] :
( connection(out(c,X),out(c,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [X] :
( connection(out(c,X),out(c,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( connection(out(c,X0),out(c,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(p221,plain,
connection(out(c,a),out(c,f(n2,a))),
inference(resolution,[status(thm)],[c49,c56]) ).
cnf(p231,plain,
( value(out(c,f(n2,a)),X0)
| ~ value(out(c,a),X0) ),
inference(resolution,[status(thm)],[p221,c0]) ).
cnf(f64,hypothesis,
value(out(c,a),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_1) ).
fof(f64_nnf,plain,
value(out(c,a),n1),
inference(nnf_transformation,[status(thm)],[f64]) ).
cnf(c64,plain,
value(out(c,a),n1),
inference(cnf_transformation,[status(esa)],[f64_nnf]) ).
cnf(p263,plain,
value(out(c,f(n2,a)),n1),
inference(resolution,[status(thm)],[p231,c64]) ).
cnf(p397,plain,
value(out(n1,or1(f(n2,a))),n1),
inference(resolution,[status(thm)],[p188,p263]) ).
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(p108,plain,
type(or1(f(n2,a)),or),
inference(resolution,[status(thm)],[p104,c36]) ).
cnf(p119,plain,
( mode(or1(f(n2,a)),abnormal)
| mode(or1(f(n2,a)),ok) ),
inference(resolution,[status(thm)],[p108,c6]) ).
cnf(f65,negated_conjecture,
~ mode(or1(f(n2,a)),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1f2a) ).
fof(f65_nnf,plain,
~ mode(or1(f(n2,a)),abnormal),
inference(nnf_transformation,[status(thm)],[f65]) ).
fof(f65_sk,plain,
~ mode(or1(f(n2,a)),abnormal),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c65,plain,
~ mode(or1(f(n2,a)),abnormal),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(p206,plain,
mode(or1(f(n2,a)),ok),
inference(resolution,[status(thm)],[p119,c65]) ).
cnf(f14,axiom,
( value(in(n2,K),n1)
| value(in(n1,K),n1)
| ~ value(out(n1,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1_11) ).
fof(f14_nnf,plain,
! [K] :
( value(in(n2,K),n1)
| value(in(n1,K),n1)
| ~ value(out(n1,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [K] :
( value(in(n2,K),n1)
| value(in(n1,K),n1)
| ~ value(out(n1,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( value(in(n2,X0),n1)
| value(in(n1,X0),n1)
| ~ value(out(n1,X0),n1)
| ~ type(X0,or)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p214,plain,
( value(in(n2,or1(f(n2,a))),n1)
| value(in(n1,or1(f(n2,a))),n1)
| ~ value(out(n1,or1(f(n2,a))),n1)
| ~ type(or1(f(n2,a)),or) ),
inference(resolution,[status(thm)],[p206,c14]) ).
cnf(p229,plain,
( value(in(n2,or1(f(n2,a))),n1)
| value(in(n1,or1(f(n2,a))),n1)
| ~ value(out(n1,or1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[p214,p108]) ).
cnf(p399,plain,
( value(in(n2,or1(f(n2,a))),n1)
| value(in(n1,or1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[p397,p229]) ).
cnf(p401,plain,
( value(in(n1,or1(f(n2,a))),n1)
| value(out(c,h1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[p254,p399]) ).
cnf(p402,plain,
( equal_value(n1,X0)
| ~ value(out(c,h1(f(n2,a))),X0)
| value(in(n1,or1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[p401,c2]) ).
cnf(p431,plain,
( equal_value(n1,n0)
| value(in(n1,or1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[p428,p402]) ).
cnf(f39,axiom,
( connection(out(c,h2(X)),in(n1,or1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
fof(f39_nnf,plain,
! [X] :
( connection(out(c,h2(X)),in(n1,or1(X)))
| ~ type(X,fulladder) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [X] :
( connection(out(c,h2(X)),in(n1,or1(X)))
| ~ type(X,fulladder) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( connection(out(c,h2(X0)),in(n1,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(p199,plain,
connection(out(c,h2(f(n2,a))),in(n1,or1(f(n2,a)))),
inference(resolution,[status(thm)],[c39,p104]) ).
cnf(p258,plain,
( value(out(c,h2(f(n2,a))),X0)
| ~ value(in(n1,or1(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[p199,c1]) ).
cnf(p435,plain,
( value(out(c,h2(f(n2,a))),n1)
| equal_value(n1,n0) ),
inference(resolution,[status(thm)],[p431,p258]) ).
cnf(p447,plain,
( equal_value(n1,n0)
| equal_value(n0,n1) ),
inference(resolution,[status(thm)],[p443,p435]) ).
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(p449,plain,
equal_value(n0,n1),
inference(resolution,[status(thm)],[p447,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(p450,plain,
$false,
inference(resolution,[status(thm)],[p449,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV008-1.002 : TPTP v9.3.1. Bugfixed v2.2.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.05/5.31 % Computer : n012.cluster.edu
% 0.05/5.31 % Model : x86_64 x86_64
% 0.05/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/5.31 % Memory : 8046.5625MB
% 0.05/5.31 % OS : Linux 6.8.0-71-generic
% 0.05/5.31 % CPULimit : 300
% 0.05/5.31 % WCLimit : 300
% 0.05/5.31 % DateTime : Wed Sep 23 16:20:56 UTC 2026
% 0.05/5.31 % CPUTime :
% 0.05/5.31 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/5.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/5.96 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------