%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV008-1.001 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:39:55 PM UTC 2026
% Result : Unsatisfiable 1.86s 1.29s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 150 ( 59 unt; 6 def)
% Number of atoms : 417 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 239 ( 122 ~; 117 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( value(X1,X2)
| ~ value(X0,X2)
| ~ connection(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',value_propagation1) ).
fof(f2,axiom,
! [X2,X0,X1] :
( value(X0,X2)
| ~ value(X1,X2)
| ~ connection(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',unique_value) ).
fof(f4,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',equal_value1) ).
fof(f7,axiom,
! [X0,X1] :
( mode(X0,abnormal)
| mode(X0,ok)
| ~ type(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',ok_or_abnormal) ).
fof(f8,axiom,
! [X0,X1] :
( value(out(n1,X0),n0)
| ~ value(in(X1,X0),n0)
| ~ type(X0,and)
| ~ mode(X0,ok) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_0x_0) ).
fof(f12,axiom,
! [X0] :
( value(in(n2,X0),n1)
| ~ value(out(n1,X0),n1)
| ~ type(X0,and)
| ~ mode(X0,ok) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_1_x1) ).
fof(f15,axiom,
! [X0] :
( value(in(n2,X0),n1)
| value(in(n1,X0),n1)
| ~ value(out(n1,X0),n1)
| ~ type(X0,or)
| ~ mode(X0,ok) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_1_11) ).
fof(f23,axiom,
! [X0] :
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_and2) ).
fof(f28,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1and2) ).
fof(f29,axiom,
! [X0] :
( connection(in(n2,X0),in(n2,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2and2) ).
fof(f31,axiom,
! [X0] :
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outc_out1and2) ).
fof(f35,axiom,
! [X0] :
( type(h1(X0),halfadder)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder1) ).
fof(f36,axiom,
! [X0] :
( type(h2(X0),halfadder)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder2) ).
fof(f37,axiom,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_or1) ).
fof(f39,axiom,
! [X0] :
( connection(out(c,h1(X0)),in(n2,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch1_in2or1) ).
fof(f40,axiom,
! [X0] :
( connection(out(c,h2(X0)),in(n1,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch2_in1or1) ).
fof(f41,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,h2(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in1_in1h2) ).
fof(f43,axiom,
! [X0] :
( connection(in(c,X0),in(n2,h1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_inc_in2h1) ).
fof(f45,axiom,
! [X0] :
( connection(out(c,X0),out(n1,or1(X0)))
| ~ type(X0,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outc_out1or1) ).
fof(f46,axiom,
! [X0] :
( type(v(n1,X0),fulladder)
| ~ type(X0,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_ina1_in1v1) ).
fof(f51,axiom,
! [X0] :
( connection(in(c,X0),in(c,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_inc_incv1) ).
fof(f52,axiom,
type(a,nbit_adder(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_isa_1bit_adder) ).
fof(f53,axiom,
value(in(a1,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ina1_0) ).
fof(f55,axiom,
value(in(c,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_0) ).
fof(f57,axiom,
value(out(c,a),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
fof(f58,negated_conjecture,
~ mode(or1(v(n1,a)),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1v1) ).
fof(f59,negated_conjecture,
~ mode(and2(h1(v(n1,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1v1) ).
fof(f60,negated_conjecture,
~ mode(and2(h2(v(n1,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h2v1) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] :
( value(X1,X2)
| ~ value(X0,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( value(X0,X2)
| ~ value(X1,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_112,plain,
~ equal_value(n0,n1),
inference(cnf_transformation,[],[f4]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( mode(X0,ok)
| mode(X0,abnormal)
| ~ type(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(X0,X1),n0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_120,plain,
! [X0: $i] :
( value(in(n2,X0),n1)
| ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(out(n1,X0),n1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_123,plain,
! [X0: $i] :
( value(in(n2,X0),n1)
| value(in(n1,X0),n1)
| ~ mode(X0,ok)
| ~ type(X0,or)
| ~ value(out(n1,X0),n1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_131,plain,
! [X0: $i] :
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_136,plain,
! [X0: $i] :
( connection(in(n1,X0),in(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_137,plain,
! [X0: $i] :
( connection(in(n2,X0),in(n2,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_139,plain,
! [X0: $i] :
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_143,plain,
! [X0: $i] :
( type(h1(X0),halfadder)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_144,plain,
! [X0: $i] :
( type(h2(X0),halfadder)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_145,plain,
! [X0: $i] :
( type(or1(X0),or)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_147,plain,
! [X0: $i] :
( connection(out(c,h1(X0)),in(n2,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_148,plain,
! [X0: $i] :
( connection(out(c,h2(X0)),in(n1,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_149,plain,
! [X0: $i] :
( connection(in(n1,X0),in(n1,h2(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_151,plain,
! [X0: $i] :
( connection(in(c,X0),in(n2,h1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_153,plain,
! [X0: $i] :
( connection(out(c,X0),out(n1,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_154,plain,
! [X0: $i] :
( type(v(n1,X0),fulladder)
| ~ type(X0,nbit_adder(n1)) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_156,plain,
! [X0: $i] :
( connection(out(c,X0),out(c,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_157,plain,
! [X0: $i] :
( connection(in(a1,X0),in(n1,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_159,plain,
! [X0: $i] :
( connection(in(c,X0),in(c,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_160,plain,
type(a,nbit_adder(n1)),
inference(cnf_transformation,[],[f52]) ).
tcf(c_161,plain,
value(in(a1,a),n0),
inference(cnf_transformation,[],[f53]) ).
tcf(c_163,plain,
value(in(c,a),n0),
inference(cnf_transformation,[],[f55]) ).
tcf(c_165,plain,
value(out(c,a),n1),
inference(cnf_transformation,[],[f57]) ).
tcf(c_166,negated_conjecture,
~ mode(or1(v(n1,a)),abnormal),
inference(cnf_transformation,[],[f58]) ).
tcf(c_167,negated_conjecture,
~ mode(and2(h1(v(n1,a))),abnormal),
inference(cnf_transformation,[],[f59]) ).
tcf(c_168,negated_conjecture,
~ mode(and2(h2(v(n1,a))),abnormal),
inference(cnf_transformation,[],[f60]) ).
tcf(c_506,plain,
! [X0: $i] :
( ~ value(X0,n0)
| ~ value(X0,n1) ),
inference(resolution,[status(thm)],[c_111,c_112]) ).
tcf(c_1989,definition,
iPr_def_10 = v(n1,a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1990,definition,
iPr_def_11 = h2(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1991,definition,
iPr_def_12 = and2(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1992,definition,
iPr_def_13 = h1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1993,definition,
iPr_def_14 = and2(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1994,definition,
iPr_def_15 = or1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1995,negated_conjecture,
~ mode(iPr_def_12,abnormal),
inference(demodulation,[status(thm)],[c_168,c_1989,c_1990,c_1991]) ).
tcf(c_1996,negated_conjecture,
~ mode(iPr_def_14,abnormal),
inference(demodulation,[status(thm)],[c_167,c_1992,c_1993]) ).
tcf(c_1997,negated_conjecture,
~ mode(iPr_def_15,abnormal),
inference(demodulation,[status(thm)],[c_166,c_1994]) ).
tcf(c_2783,plain,
( type(iPr_def_12,and)
| ~ type(iPr_def_11,halfadder) ),
inference(superposition,[status(thm)],[c_1991,c_131]) ).
tcf(c_2784,plain,
( type(iPr_def_14,and)
| ~ type(iPr_def_13,halfadder) ),
inference(superposition,[status(thm)],[c_1993,c_131]) ).
tcf(c_2816,plain,
( type(iPr_def_13,halfadder)
| ~ type(iPr_def_10,fulladder) ),
inference(superposition,[status(thm)],[c_1992,c_143]) ).
tcf(c_2861,plain,
( type(iPr_def_11,halfadder)
| ~ type(iPr_def_10,fulladder) ),
inference(superposition,[status(thm)],[c_1990,c_144]) ).
tcf(c_2873,plain,
( type(iPr_def_15,or)
| ~ type(iPr_def_10,fulladder) ),
inference(superposition,[status(thm)],[c_1994,c_145]) ).
tcf(c_2885,plain,
( type(iPr_def_10,fulladder)
| ~ type(a,nbit_adder(n1)) ),
inference(superposition,[status(thm)],[c_1989,c_154]) ).
tcf(c_2887,plain,
type(iPr_def_10,fulladder),
inference(forward_subsumption_resolution,[status(thm)],[c_2885,c_160]) ).
tcf(c_2891,plain,
type(iPr_def_13,halfadder),
inference(backward_subsumption_resolution,[status(thm)],[c_2816,c_2887]) ).
tcf(c_2892,plain,
type(iPr_def_14,and),
inference(backward_subsumption_resolution,[status(thm)],[c_2784,c_2891]) ).
tcf(c_2906,plain,
( mode(iPr_def_14,ok)
| mode(iPr_def_14,abnormal) ),
inference(superposition,[status(thm)],[c_2892,c_115]) ).
tcf(c_2907,plain,
mode(iPr_def_14,ok),
inference(forward_subsumption_resolution,[status(thm)],[c_2906,c_1996]) ).
tcf(c_2923,plain,
type(iPr_def_11,halfadder),
inference(global_subsumption_just,[status(thm)],[c_2861,c_2861,c_2887]) ).
tcf(c_2925,plain,
type(iPr_def_12,and),
inference(backward_subsumption_resolution,[status(thm)],[c_2783,c_2923]) ).
tcf(c_2929,plain,
( mode(iPr_def_12,ok)
| mode(iPr_def_12,abnormal) ),
inference(superposition,[status(thm)],[c_2925,c_115]) ).
tcf(c_2930,plain,
mode(iPr_def_12,ok),
inference(forward_subsumption_resolution,[status(thm)],[c_2929,c_1995]) ).
tcf(c_2936,plain,
type(iPr_def_15,or),
inference(global_subsumption_just,[status(thm)],[c_2873,c_2873,c_2887]) ).
tcf(c_2938,plain,
( mode(iPr_def_15,ok)
| mode(iPr_def_15,abnormal) ),
inference(superposition,[status(thm)],[c_2936,c_115]) ).
tcf(c_2939,plain,
mode(iPr_def_15,ok),
inference(forward_subsumption_resolution,[status(thm)],[c_2938,c_1997]) ).
tcf(c_2980,plain,
( connection(in(n1,iPr_def_11),in(n1,iPr_def_12))
| ~ type(iPr_def_11,halfadder) ),
inference(superposition,[status(thm)],[c_1991,c_136]) ).
tcf(c_2985,plain,
connection(in(n1,iPr_def_11),in(n1,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_2980,c_2923]) ).
tcf(c_3001,plain,
! [X0: $i] :
( value(in(n1,iPr_def_12),X0)
| ~ value(in(n1,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_2985,c_109]) ).
tcf(c_3014,plain,
~ value(in(c,a),n1),
inference(superposition,[status(thm)],[c_163,c_506]) ).
tcf(c_3072,plain,
( connection(in(n2,iPr_def_13),in(n2,iPr_def_14))
| ~ type(iPr_def_13,halfadder) ),
inference(superposition,[status(thm)],[c_1993,c_137]) ).
tcf(c_3075,plain,
connection(in(n2,iPr_def_13),in(n2,iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_3072,c_2891]) ).
tcf(c_3099,plain,
( connection(out(c,iPr_def_11),out(n1,iPr_def_12))
| ~ type(iPr_def_11,halfadder) ),
inference(superposition,[status(thm)],[c_1991,c_139]) ).
tcf(c_3100,plain,
( connection(out(c,iPr_def_13),out(n1,iPr_def_14))
| ~ type(iPr_def_13,halfadder) ),
inference(superposition,[status(thm)],[c_1993,c_139]) ).
tcf(c_3103,plain,
connection(out(c,iPr_def_13),out(n1,iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_3100,c_2891]) ).
tcf(c_3104,plain,
connection(out(c,iPr_def_11),out(n1,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_3099,c_2923]) ).
tcf(c_3115,plain,
( connection(in(n1,iPr_def_10),in(n1,iPr_def_11))
| ~ type(iPr_def_10,fulladder) ),
inference(superposition,[status(thm)],[c_1990,c_149]) ).
tcf(c_3118,plain,
connection(in(n1,iPr_def_10),in(n1,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_3115,c_2887]) ).
tcf(c_3125,plain,
! [X0: $i] :
( value(in(n2,iPr_def_13),X0)
| ~ value(in(n2,iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_3075,c_110]) ).
tcf(c_3132,plain,
( value(in(n2,iPr_def_13),n1)
| ~ value(in(n2,iPr_def_14),n1) ),
inference(instantiation,[status(thm)],[c_3125]) ).
tcf(c_3142,plain,
! [X0: $i] :
( value(out(n1,iPr_def_14),X0)
| ~ value(out(c,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_3103,c_109]) ).
tcf(c_3150,plain,
! [X0: $i] :
( value(out(n1,iPr_def_12),X0)
| ~ value(out(c,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_3104,c_109]) ).
tcf(c_3155,plain,
( value(out(n1,iPr_def_12),n1)
| ~ value(out(c,iPr_def_11),n1) ),
inference(instantiation,[status(thm)],[c_3150]) ).
tcf(c_3158,plain,
! [X0: $i] :
( value(in(n1,iPr_def_11),X0)
| ~ value(in(n1,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_3118,c_109]) ).
tcf(c_3222,plain,
( connection(in(c,iPr_def_10),in(n2,iPr_def_13))
| ~ type(iPr_def_10,fulladder) ),
inference(superposition,[status(thm)],[c_1992,c_151]) ).
tcf(c_3225,plain,
connection(in(c,iPr_def_10),in(n2,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_3222,c_2887]) ).
tcf(c_3255,plain,
( connection(out(c,iPr_def_10),out(n1,iPr_def_15))
| ~ type(iPr_def_10,fulladder) ),
inference(superposition,[status(thm)],[c_1994,c_153]) ).
tcf(c_3258,plain,
connection(out(c,iPr_def_10),out(n1,iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_3255,c_2887]) ).
tcf(c_3277,plain,
! [X0: $i] :
( value(in(c,iPr_def_10),X0)
| ~ value(in(n2,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_3225,c_110]) ).
tcf(c_3284,plain,
( value(in(c,iPr_def_10),n1)
| ~ value(in(n2,iPr_def_13),n1) ),
inference(instantiation,[status(thm)],[c_3277]) ).
tcf(c_3304,plain,
! [X0: $i] :
( value(out(n1,iPr_def_15),X0)
| ~ value(out(c,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_3258,c_109]) ).
tcf(c_3520,plain,
( connection(out(c,h1(iPr_def_10)),in(n2,iPr_def_15))
| ~ type(iPr_def_10,fulladder) ),
inference(superposition,[status(thm)],[c_1994,c_147]) ).
tcf(c_3523,plain,
( connection(out(c,iPr_def_13),in(n2,iPr_def_15))
| ~ type(iPr_def_10,fulladder) ),
inference(light_normalisation,[status(thm)],[c_3520,c_1992]) ).
tcf(c_3524,plain,
connection(out(c,iPr_def_13),in(n2,iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_3523,c_2887]) ).
tcf(c_3541,plain,
( connection(out(c,h2(iPr_def_10)),in(n1,iPr_def_15))
| ~ type(iPr_def_10,fulladder) ),
inference(superposition,[status(thm)],[c_1994,c_148]) ).
tcf(c_3544,plain,
( connection(out(c,iPr_def_11),in(n1,iPr_def_15))
| ~ type(iPr_def_10,fulladder) ),
inference(light_normalisation,[status(thm)],[c_3541,c_1990]) ).
tcf(c_3545,plain,
connection(out(c,iPr_def_11),in(n1,iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_3544,c_2887]) ).
tcf(c_3577,plain,
( connection(out(c,a),out(c,iPr_def_10))
| ~ type(a,nbit_adder(n1)) ),
inference(superposition,[status(thm)],[c_1989,c_156]) ).
tcf(c_3580,plain,
connection(out(c,a),out(c,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_3577,c_160]) ).
tcf(c_3592,plain,
! [X0: $i] :
( value(out(c,iPr_def_13),X0)
| ~ value(in(n2,iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_3524,c_110]) ).
tcf(c_3600,plain,
! [X0: $i] :
( value(out(c,iPr_def_11),X0)
| ~ value(in(n1,iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_3545,c_110]) ).
tcf(c_3607,plain,
( value(out(c,iPr_def_11),n1)
| ~ value(in(n1,iPr_def_15),n1) ),
inference(instantiation,[status(thm)],[c_3600]) ).
tcf(c_3621,plain,
! [X0: $i] :
( value(out(c,iPr_def_10),X0)
| ~ value(out(c,a),X0) ),
inference(superposition,[status(thm)],[c_3580,c_109]) ).
tcf(c_3679,plain,
( connection(in(a1,a),in(n1,iPr_def_10))
| ~ type(a,nbit_adder(n1)) ),
inference(superposition,[status(thm)],[c_1989,c_157]) ).
tcf(c_3682,plain,
connection(in(a1,a),in(n1,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_3679,c_160]) ).
tcf(c_3712,plain,
( connection(in(c,a),in(c,iPr_def_10))
| ~ type(a,nbit_adder(n1)) ),
inference(superposition,[status(thm)],[c_1989,c_159]) ).
tcf(c_3715,plain,
connection(in(c,a),in(c,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_3712,c_160]) ).
tcf(c_3736,plain,
! [X0: $i] :
( value(in(n1,iPr_def_10),X0)
| ~ value(in(a1,a),X0) ),
inference(superposition,[status(thm)],[c_3682,c_109]) ).
tcf(c_3749,plain,
! [X0: $i] :
( value(in(c,a),X0)
| ~ value(in(c,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_3715,c_110]) ).
tcf(c_3755,plain,
( value(in(c,a),n1)
| ~ value(in(c,iPr_def_10),n1) ),
inference(instantiation,[status(thm)],[c_3749]) ).
tcf(c_3781,plain,
value(out(c,iPr_def_10),n1),
inference(superposition,[status(thm)],[c_165,c_3621]) ).
tcf(c_3783,plain,
value(out(n1,iPr_def_15),n1),
inference(superposition,[status(thm)],[c_3781,c_3304]) ).
tcf(c_3916,plain,
value(in(n1,iPr_def_10),n0),
inference(superposition,[status(thm)],[c_161,c_3736]) ).
tcf(c_3922,plain,
value(in(n1,iPr_def_11),n0),
inference(superposition,[status(thm)],[c_3916,c_3158]) ).
tcf(c_3938,plain,
value(in(n1,iPr_def_12),n0),
inference(superposition,[status(thm)],[c_3922,c_3001]) ).
tcf(c_3955,plain,
( value(out(n1,iPr_def_12),n0)
| ~ mode(iPr_def_12,ok)
| ~ type(iPr_def_12,and) ),
inference(superposition,[status(thm)],[c_3938,c_116]) ).
tcf(c_3963,plain,
value(out(n1,iPr_def_12),n0),
inference(forward_subsumption_resolution,[status(thm)],[c_3955,c_2930,c_2925]) ).
tcf(c_3967,plain,
~ value(out(n1,iPr_def_12),n1),
inference(superposition,[status(thm)],[c_3963,c_506]) ).
tcf(c_3988,plain,
( value(in(n2,iPr_def_15),n1)
| value(in(n1,iPr_def_15),n1)
| ~ mode(iPr_def_15,ok)
| ~ type(iPr_def_15,or) ),
inference(superposition,[status(thm)],[c_3783,c_123]) ).
tcf(c_3989,plain,
( value(in(n2,iPr_def_15),n1)
| value(in(n1,iPr_def_15),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3988,c_2939,c_2936]) ).
tcf(c_4058,plain,
value(in(n2,iPr_def_15),n1),
inference(global_subsumption_just,[status(thm)],[c_3989,c_3155,c_3607,c_3967,c_3989]) ).
tcf(c_4061,plain,
value(out(c,iPr_def_13),n1),
inference(superposition,[status(thm)],[c_4058,c_3592]) ).
tcf(c_4073,plain,
value(out(n1,iPr_def_14),n1),
inference(superposition,[status(thm)],[c_4061,c_3142]) ).
tcf(c_4130,plain,
( value(in(n2,iPr_def_14),n1)
| ~ mode(iPr_def_14,ok)
| ~ type(iPr_def_14,and) ),
inference(superposition,[status(thm)],[c_4073,c_120]) ).
tcf(c_4134,plain,
value(in(n2,iPr_def_14),n1),
inference(forward_subsumption_resolution,[status(thm)],[c_4130,c_2907,c_2892]) ).
tcf(c_4138,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4134,c_3755,c_3284,c_3132,c_3014]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV008-1.001 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n018.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 16:23:17 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.86/1.29 % SZS status Started for theBenchmark.p
% 1.86/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.29
% 1.86/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.86/1.29
% 1.86/1.29 % ------ iProver source info
% 1.86/1.29
% 1.86/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.86/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.86/1.29 % git: non_committed_changes: false
% 1.86/1.29
% 1.86/1.29 % ------ Parsing...% successful
% 1.86/1.29
% 1.86/1.29
% 1.86/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.86/1.29
% 1.86/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.86/1.29
% 1.86/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.86/1.29
% 1.86/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.86/1.29 % ------ Proving...
% 1.86/1.29 % ------ Problem Properties
% 1.86/1.29
% 1.86/1.29 %
% 1.86/1.29 % clauses 64
% 1.86/1.29 % conjectures 3
% 1.86/1.29 % EPR 8
% 1.86/1.29 % Horn 61
% 1.86/1.29 % unary 15
% 1.86/1.29 % binary 32
% 1.86/1.29 % lits 148
% 1.86/1.29 % lits eq 6
% 1.86/1.29 % fd_pure 0
% 1.86/1.29 % fd_pseudo 0
% 1.86/1.29 % fd_cond 0
% 1.86/1.29 % fd_pseudo_cond 0
% 1.86/1.29 % AC symbols 0
% 1.86/1.29
% 1.86/1.29 % ------ Schedule dynamic 5 is on
% 1.86/1.29
% 1.86/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.86/1.29
% 1.86/1.29
% 1.86/1.29 % ------
% 1.86/1.29 % Current options:
% 1.86/1.29 % ------
% 1.86/1.29
% 1.86/1.29
% 1.86/1.29 %
% 1.86/1.29
% 1.86/1.29 % ------ Proving...
% 1.86/1.29 %
% 1.86/1.29
% 1.86/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.29
% 1.86/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/1.29
% 1.86/1.29
%------------------------------------------------------------------------------