%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV007-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 2.96s 1.15s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 48
% Syntax : Number of formulae : 171 ( 43 unt; 0 def)
% Number of atoms : 342 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 329 ( 158 ~; 171 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( zero(X1)
| ~ zero(X0)
| ~ connection(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).
fof(f2,axiom,
! [X0,X1] :
( one(X1)
| ~ one(X0)
| ~ connection(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).
fof(f3,axiom,
! [X0,X1] :
( zero(X0)
| ~ zero(X1)
| ~ connection(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).
fof(f4,axiom,
! [X0,X1] :
( one(X0)
| ~ one(X1)
| ~ connection(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).
fof(f5,axiom,
! [X0] :
( ~ one(X0)
| ~ zero(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',unique_value) ).
fof(f6,axiom,
! [X0] :
( zero(out1(X0))
| ~ zero(in1(X0))
| ~ and_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_0x_0) ).
fof(f7,axiom,
! [X0] :
( zero(out1(X0))
| ~ zero(in2(X0))
| ~ and_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_x0_0) ).
fof(f8,axiom,
! [X0] :
( one(out1(X0))
| ~ one(in2(X0))
| ~ one(in1(X0))
| ~ and_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_11_1) ).
fof(f13,axiom,
! [X0] :
( abnormal(X0)
| and_ok(X0)
| ~ logic_and(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).
fof(f15,axiom,
! [X0] :
( one(out1(X0))
| ~ one(in2(X0))
| ~ or_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_x1_1) ).
fof(f16,axiom,
! [X0] :
( zero(out1(X0))
| ~ zero(in2(X0))
| ~ zero(in1(X0))
| ~ or_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_00_0) ).
fof(f21,axiom,
! [X0] :
( abnormal(X0)
| or_ok(X0)
| ~ logic_or(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).
fof(f23,axiom,
! [X0] :
( zero(out1(X0))
| ~ one(in1(X0))
| ~ not_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_1_0_fw) ).
fof(f27,axiom,
! [X0] :
( abnormal(X0)
| not_ok(X0)
| ~ logic_not(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).
fof(f28,axiom,
! [X0] :
( logic_and(and1(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).
fof(f29,axiom,
! [X0] :
( logic_and(and2(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and2) ).
fof(f30,axiom,
! [X0] :
( logic_not(not1(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).
fof(f31,axiom,
! [X0] :
( logic_or(or1(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).
fof(f32,axiom,
! [X0] :
( connection(in1(X0),in1(or1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1or1) ).
fof(f33,axiom,
! [X0] :
( connection(in2(X0),in2(or1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2or1) ).
fof(f34,axiom,
! [X0] :
( connection(in1(X0),in1(and2(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1and2) ).
fof(f35,axiom,
! [X0] :
( connection(in2(X0),in2(and2(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2and2) ).
fof(f36,axiom,
! [X0] :
( connection(outs(X0),out1(and1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).
fof(f37,axiom,
! [X0] :
( connection(outc(X0),out1(and2(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).
fof(f38,axiom,
! [X0] :
( connection(out1(or1(X0)),in1(and1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).
fof(f39,axiom,
! [X0] :
( connection(out1(and2(X0)),in1(not1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).
fof(f40,axiom,
! [X0] :
( connection(out1(not1(X0)),in2(and1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).
fof(f41,axiom,
! [X0] :
( halfadder(h1(X0))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder1) ).
fof(f42,axiom,
! [X0] :
( halfadder(h2(X0))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder2) ).
fof(f43,axiom,
! [X0] :
( logic_or(or1(X0))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_or1) ).
fof(f44,axiom,
! [X0] :
( connection(outs(h1(X0)),in2(h2(X0)))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outsh1_in2h2) ).
fof(f45,axiom,
! [X0] :
( connection(outc(h1(X0)),in2(or1(X0)))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch1_in2or1) ).
fof(f47,axiom,
! [X0] :
( connection(in1(X0),in1(h2(X0)))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in1_in1h2) ).
fof(f48,axiom,
! [X0] :
( connection(in2(X0),in1(h1(X0)))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in2_in1h1) ).
fof(f49,axiom,
! [X0] :
( connection(inc(X0),in2(h1(X0)))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_inc_in2h1) ).
fof(f50,axiom,
! [X0] :
( connection(outs(X0),outs(h2(X0)))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outs_outsh2) ).
fof(f51,axiom,
! [X0] :
( connection(outc(X0),out1(or1(X0)))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outc_out1or1) ).
fof(f52,axiom,
fulladder(f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).
fof(f53,axiom,
zero(in1(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
fof(f54,axiom,
one(in2(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).
fof(f55,axiom,
one(inc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).
fof(f56,axiom,
one(outs(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).
fof(f57,axiom,
zero(outc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
fof(f58,negated_conjecture,
~ abnormal(and2(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).
fof(f59,negated_conjecture,
( ~ abnormal(and1(h1(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h1) ).
fof(f60,negated_conjecture,
( ~ abnormal(not1(h1(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h1) ).
fof(f61,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
fof(f62,negated_conjecture,
( ~ abnormal(or1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_or1h2) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( zero(X1)
| ~ zero(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( one(X1)
| ~ one(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( zero(X0)
| ~ zero(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( one(X0)
| ~ one(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_115,plain,
! [X0: $i] :
( ~ one(X0)
| ~ zero(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_116,plain,
! [X0: $i] :
( zero(out1(X0))
| ~ and_ok(X0)
| ~ zero(in1(X0)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_117,plain,
! [X0: $i] :
( zero(out1(X0))
| ~ and_ok(X0)
| ~ zero(in2(X0)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_118,plain,
! [X0: $i] :
( one(out1(X0))
| ~ and_ok(X0)
| ~ one(in2(X0))
| ~ one(in1(X0)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_123,plain,
! [X0: $i] :
( and_ok(X0)
| abnormal(X0)
| ~ logic_and(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_125,plain,
! [X0: $i] :
( one(out1(X0))
| ~ or_ok(X0)
| ~ one(in2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_126,plain,
! [X0: $i] :
( zero(out1(X0))
| ~ or_ok(X0)
| ~ zero(in2(X0))
| ~ zero(in1(X0)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_131,plain,
! [X0: $i] :
( or_ok(X0)
| abnormal(X0)
| ~ logic_or(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_133,plain,
! [X0: $i] :
( zero(out1(X0))
| ~ not_ok(X0)
| ~ one(in1(X0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_137,plain,
! [X0: $i] :
( not_ok(X0)
| abnormal(X0)
| ~ logic_not(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_138,plain,
! [X0: $i] :
( logic_and(and1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_139,plain,
! [X0: $i] :
( logic_and(and2(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_140,plain,
! [X0: $i] :
( logic_not(not1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_141,plain,
! [X0: $i] :
( logic_or(or1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_142,plain,
! [X0: $i] :
( connection(in1(X0),in1(or1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_143,plain,
! [X0: $i] :
( connection(in2(X0),in2(or1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_144,plain,
! [X0: $i] :
( connection(in1(X0),in1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_145,plain,
! [X0: $i] :
( connection(in2(X0),in2(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_146,plain,
! [X0: $i] :
( connection(outs(X0),out1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_147,plain,
! [X0: $i] :
( connection(outc(X0),out1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_148,plain,
! [X0: $i] :
( connection(out1(or1(X0)),in1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_149,plain,
! [X0: $i] :
( connection(out1(and2(X0)),in1(not1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_150,plain,
! [X0: $i] :
( connection(out1(not1(X0)),in2(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_151,plain,
! [X0: $i] :
( halfadder(h1(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_152,plain,
! [X0: $i] :
( halfadder(h2(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_153,plain,
! [X0: $i] :
( logic_or(or1(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_154,plain,
! [X0: $i] :
( connection(outs(h1(X0)),in2(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_155,plain,
! [X0: $i] :
( connection(outc(h1(X0)),in2(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_157,plain,
! [X0: $i] :
( connection(in1(X0),in1(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_158,plain,
! [X0: $i] :
( connection(in2(X0),in1(h1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_159,plain,
! [X0: $i] :
( connection(inc(X0),in2(h1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_160,plain,
! [X0: $i] :
( connection(outs(X0),outs(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_161,plain,
! [X0: $i] :
( connection(outc(X0),out1(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_162,plain,
fulladder(f),
inference(cnf_transformation,[],[f52]) ).
tcf(c_163,plain,
zero(in1(f)),
inference(cnf_transformation,[],[f53]) ).
tcf(c_164,plain,
one(in2(f)),
inference(cnf_transformation,[],[f54]) ).
tcf(c_165,plain,
one(inc(f)),
inference(cnf_transformation,[],[f55]) ).
tcf(c_166,plain,
one(outs(f)),
inference(cnf_transformation,[],[f56]) ).
tcf(c_167,plain,
zero(outc(f)),
inference(cnf_transformation,[],[f57]) ).
tcf(c_168,negated_conjecture,
~ abnormal(and2(h1(f))),
inference(cnf_transformation,[],[f58]) ).
tcf(c_169,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(and1(h1(f))) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_170,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(not1(h1(f))) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_171,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(and1(h2(f))) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_172,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(or1(h2(f))) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_503,plain,
! [X0: $i] :
( not_ok(not1(X0))
| abnormal(not1(X0))
| ~ halfadder(X0) ),
inference(resolution,[status(thm)],[c_140,c_137]) ).
tcf(c_573,plain,
connection(outc(f),out1(or1(f))),
inference(resolution,[status(thm)],[c_162,c_161]) ).
tcf(c_577,plain,
connection(outs(f),outs(h2(f))),
inference(resolution,[status(thm)],[c_162,c_160]) ).
tcf(c_581,plain,
connection(inc(f),in2(h1(f))),
inference(resolution,[status(thm)],[c_162,c_159]) ).
tcf(c_585,plain,
connection(in2(f),in1(h1(f))),
inference(resolution,[status(thm)],[c_162,c_158]) ).
tcf(c_589,plain,
connection(in1(f),in1(h2(f))),
inference(resolution,[status(thm)],[c_162,c_157]) ).
tcf(c_597,plain,
connection(outc(h1(f)),in2(or1(f))),
inference(resolution,[status(thm)],[c_162,c_155]) ).
tcf(c_601,plain,
connection(outs(h1(f)),in2(h2(f))),
inference(resolution,[status(thm)],[c_162,c_154]) ).
tcf(c_605,plain,
logic_or(or1(f)),
inference(resolution,[status(thm)],[c_162,c_153]) ).
tcf(c_609,plain,
halfadder(h2(f)),
inference(resolution,[status(thm)],[c_162,c_152]) ).
tcf(c_613,plain,
halfadder(h1(f)),
inference(resolution,[status(thm)],[c_162,c_151]) ).
tcf(c_628,plain,
! [X0: $i] :
( or_ok(or1(X0))
| abnormal(or1(X0))
| ~ halfadder(X0) ),
inference(resolution,[status(thm)],[c_141,c_131]) ).
tcf(c_638,plain,
( or_ok(or1(f))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[c_131,c_605]) ).
tcf(c_838,plain,
( or_ok(or1(h2(f)))
| abnormal(or1(h2(f))) ),
inference(resolution,[status(thm)],[c_628,c_609]) ).
tcf(c_860,plain,
connection(out1(or1(h2(f))),in1(and1(h2(f)))),
inference(resolution,[status(thm)],[c_148,c_609]) ).
tcf(c_868,plain,
connection(outs(h2(f)),out1(and1(h2(f)))),
inference(resolution,[status(thm)],[c_146,c_609]) ).
tcf(c_880,plain,
connection(in2(h2(f)),in2(or1(h2(f)))),
inference(resolution,[status(thm)],[c_143,c_609]) ).
tcf(c_884,plain,
connection(in1(h2(f)),in1(or1(h2(f)))),
inference(resolution,[status(thm)],[c_142,c_609]) ).
tcf(c_892,plain,
logic_and(and1(h2(f))),
inference(resolution,[status(thm)],[c_138,c_609]) ).
tcf(c_903,plain,
( not_ok(not1(h1(f)))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[c_503,c_613]) ).
tcf(c_910,plain,
connection(out1(not1(h1(f))),in2(and1(h1(f)))),
inference(resolution,[status(thm)],[c_150,c_613]) ).
tcf(c_914,plain,
connection(out1(and2(h1(f))),in1(not1(h1(f)))),
inference(resolution,[status(thm)],[c_149,c_613]) ).
tcf(c_922,plain,
connection(outc(h1(f)),out1(and2(h1(f)))),
inference(resolution,[status(thm)],[c_147,c_613]) ).
tcf(c_926,plain,
connection(outs(h1(f)),out1(and1(h1(f)))),
inference(resolution,[status(thm)],[c_146,c_613]) ).
tcf(c_930,plain,
connection(in2(h1(f)),in2(and2(h1(f)))),
inference(resolution,[status(thm)],[c_145,c_613]) ).
tcf(c_934,plain,
connection(in1(h1(f)),in1(and2(h1(f)))),
inference(resolution,[status(thm)],[c_144,c_613]) ).
tcf(c_946,plain,
logic_and(and2(h1(f))),
inference(resolution,[status(thm)],[c_139,c_613]) ).
tcf(c_950,plain,
logic_and(and1(h1(f))),
inference(resolution,[status(thm)],[c_138,c_613]) ).
tcf(c_991,plain,
( and_ok(and1(h2(f)))
| abnormal(and1(h2(f))) ),
inference(resolution,[status(thm)],[c_123,c_892]) ).
tcf(c_998,plain,
( and_ok(and2(h1(f)))
| abnormal(and2(h1(f))) ),
inference(resolution,[status(thm)],[c_123,c_946]) ).
tcf(c_999,plain,
and_ok(and2(h1(f))),
inference(global_subsumption_just,[status(thm)],[c_998,c_168,c_998]) ).
tcf(c_1004,plain,
( and_ok(and1(h1(f)))
| abnormal(and1(h1(f))) ),
inference(resolution,[status(thm)],[c_123,c_950]) ).
tcf(c_1080,plain,
( abnormal(not1(h1(f)))
| zero(out1(not1(h1(f))))
| ~ one(in1(not1(h1(f)))) ),
inference(resolution,[status(thm)],[c_133,c_903]) ).
tcf(c_1171,plain,
( abnormal(or1(f))
| one(out1(or1(f)))
| ~ one(in2(or1(f))) ),
inference(resolution,[status(thm)],[c_125,c_638]) ).
tcf(c_1225,plain,
( abnormal(or1(h2(f)))
| zero(out1(or1(h2(f))))
| ~ zero(in2(or1(h2(f))))
| ~ zero(in1(or1(h2(f)))) ),
inference(resolution,[status(thm)],[c_126,c_838]) ).
tcf(c_1509,plain,
( abnormal(and1(h2(f)))
| zero(out1(and1(h2(f))))
| ~ zero(in1(and1(h2(f)))) ),
inference(resolution,[status(thm)],[c_116,c_991]) ).
tcf(c_1544,plain,
( one(out1(and2(h1(f))))
| ~ one(in2(and2(h1(f))))
| ~ one(in1(and2(h1(f)))) ),
inference(resolution,[status(thm)],[c_118,c_999]) ).
tcf(c_1615,plain,
( abnormal(and1(h1(f)))
| zero(out1(and1(h1(f))))
| ~ zero(in2(and1(h1(f)))) ),
inference(resolution,[status(thm)],[c_117,c_1004]) ).
tcf(c_1709,plain,
( one(outc(f))
| ~ one(out1(or1(f))) ),
inference(resolution,[status(thm)],[c_114,c_573]) ).
tcf(c_1731,plain,
( zero(outs(f))
| ~ zero(outs(h2(f))) ),
inference(resolution,[status(thm)],[c_113,c_577]) ).
tcf(c_1759,plain,
( one(in2(h1(f)))
| ~ one(inc(f)) ),
inference(resolution,[status(thm)],[c_112,c_581]) ).
tcf(c_1780,plain,
( one(in1(h1(f)))
| ~ one(in2(f)) ),
inference(resolution,[status(thm)],[c_112,c_585]) ).
tcf(c_1808,plain,
( zero(in1(h2(f)))
| ~ zero(in1(f)) ),
inference(resolution,[status(thm)],[c_111,c_589]) ).
tcf(c_1856,plain,
( one(in2(or1(f)))
| ~ one(outc(h1(f))) ),
inference(resolution,[status(thm)],[c_112,c_597]) ).
tcf(c_1891,plain,
( zero(in2(h2(f)))
| ~ zero(outs(h1(f))) ),
inference(resolution,[status(thm)],[c_111,c_601]) ).
tcf(c_1975,plain,
( zero(in1(and1(h2(f))))
| ~ zero(out1(or1(h2(f)))) ),
inference(resolution,[status(thm)],[c_111,c_860]) ).
tcf(c_2011,plain,
( zero(outs(h2(f)))
| ~ zero(out1(and1(h2(f)))) ),
inference(resolution,[status(thm)],[c_113,c_868]) ).
tcf(c_2101,plain,
( zero(in2(or1(h2(f))))
| ~ zero(in2(h2(f))) ),
inference(resolution,[status(thm)],[c_111,c_880]) ).
tcf(c_2123,plain,
( zero(in1(or1(h2(f))))
| ~ zero(in1(h2(f))) ),
inference(resolution,[status(thm)],[c_111,c_884]) ).
tcf(c_2124,plain,
zero(in1(or1(h2(f)))),
inference(global_subsumption_just,[status(thm)],[c_2123,c_163,c_1808,c_2123]) ).
tcf(c_2150,plain,
( zero(in2(and1(h1(f))))
| ~ zero(out1(not1(h1(f)))) ),
inference(resolution,[status(thm)],[c_111,c_910]) ).
tcf(c_2171,plain,
( one(in1(not1(h1(f))))
| ~ one(out1(and2(h1(f)))) ),
inference(resolution,[status(thm)],[c_112,c_914]) ).
tcf(c_2213,plain,
( one(outc(h1(f)))
| ~ one(out1(and2(h1(f)))) ),
inference(resolution,[status(thm)],[c_114,c_922]) ).
tcf(c_2248,plain,
( zero(outs(h1(f)))
| ~ zero(out1(and1(h1(f)))) ),
inference(resolution,[status(thm)],[c_113,c_926]) ).
tcf(c_2277,plain,
( one(in2(and2(h1(f))))
| ~ one(in2(h1(f))) ),
inference(resolution,[status(thm)],[c_112,c_930]) ).
tcf(c_2298,plain,
( one(in1(and2(h1(f))))
| ~ one(in1(h1(f))) ),
inference(resolution,[status(thm)],[c_112,c_934]) ).
tcf(c_2470,plain,
( abnormal(or1(h2(f)))
| zero(out1(or1(h2(f))))
| ~ zero(in2(or1(h2(f)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1225,c_2124]) ).
tcf(c_2654,plain,
( ~ zero(out1(or1(h2(f))))
| zero(in1(and1(h2(f)))) ),
inference(prop_impl_just,[status(thm)],[c_1975]) ).
tcf(c_2655,plain,
( zero(in1(and1(h2(f))))
| ~ zero(out1(or1(h2(f)))) ),
inference(renaming,[status(thm)],[c_2654]) ).
tcf(c_2660,plain,
( zero(in2(or1(h2(f))))
| ~ zero(in2(h2(f))) ),
inference(prop_impl_just,[status(thm)],[c_2101]) ).
tcf(c_2710,plain,
( ~ zero(out1(and1(h2(f))))
| zero(outs(f)) ),
inference(prop_impl_just,[status(thm)],[c_1731,c_2011]) ).
tcf(c_2711,plain,
( zero(outs(f))
| ~ zero(out1(and1(h2(f)))) ),
inference(renaming,[status(thm)],[c_2710]) ).
tcf(c_2730,plain,
( ~ zero(out1(and1(h1(f))))
| zero(in2(h2(f))) ),
inference(prop_impl_just,[status(thm)],[c_1891,c_2248]) ).
tcf(c_2731,plain,
( zero(in2(h2(f)))
| ~ zero(out1(and1(h1(f)))) ),
inference(renaming,[status(thm)],[c_2730]) ).
tcf(c_2758,plain,
( one(outc(f))
| abnormal(or1(f)) ),
inference(prop_impl_just,[status(thm)],[c_165,c_164,c_1171,c_1544,c_1709,c_1759,c_1780,c_1856,c_2213,c_2277,c_2298]) ).
tcf(c_2759,plain,
( abnormal(or1(f))
| one(outc(f)) ),
inference(renaming,[status(thm)],[c_2758]) ).
tcf(c_2764,plain,
( zero(in2(and1(h1(f))))
| abnormal(not1(h1(f))) ),
inference(prop_impl_just,[status(thm)],[c_165,c_164,c_1080,c_1544,c_1759,c_1780,c_2150,c_2171,c_2277,c_2298]) ).
tcf(c_2765,plain,
( abnormal(not1(h1(f)))
| zero(in2(and1(h1(f)))) ),
inference(renaming,[status(thm)],[c_2764]) ).
tcf(c_3145,plain,
( zero(outs(f))
| abnormal(and1(h2(f)))
| ~ zero(in1(and1(h2(f)))) ),
inference(bin_hyper_res,[status(thm)],[c_1509,c_2711]) ).
tcf(c_3151,plain,
( abnormal(and1(h1(f)))
| zero(in2(h2(f)))
| ~ zero(in2(and1(h1(f)))) ),
inference(bin_hyper_res,[status(thm)],[c_1615,c_2731]) ).
tcf(c_3153,plain,
( abnormal(or1(h2(f)))
| zero(in1(and1(h2(f))))
| ~ zero(in2(h2(f))) ),
inference(bin_hyper_res,[status(thm)],[c_2470,c_2655,c_2660]) ).
tcf(c_5023,plain,
~ one(outc(f)),
inference(superposition,[status(thm)],[c_167,c_115]) ).
tcf(c_5040,plain,
zero(outs(f)),
inference(global_subsumption_just,[status(thm)],[c_1731,c_172,c_171,c_170,c_169,c_2759,c_2765,c_3145,c_3153,c_3151,c_5023]) ).
tcf(c_5042,plain,
~ one(outs(f)),
inference(superposition,[status(thm)],[c_5040,c_115]) ).
tcf(c_5043,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5042,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV007-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 16:20:21 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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
% 0.14/0.39
% 0.14/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.39
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 2.96/1.15 % SZS status Started for theBenchmark.p
% 2.96/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.15
% 2.96/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.96/1.15
% 2.96/1.15 % ------ iProver source info
% 2.96/1.15
% 2.96/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 2.96/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.96/1.15 % git: non_committed_changes: false
% 2.96/1.15
% 2.96/1.15 % ------ Parsing...% successful
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.96/1.15
% 2.96/1.15 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e %
% 2.96/1.15
% 2.96/1.15 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.96/1.15
% 2.96/1.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.96/1.15 % ------ Proving...
% 2.96/1.15 % ------ Problem Properties
% 2.96/1.15
% 2.96/1.15 %
% 2.96/1.15 % clauses 153
% 2.96/1.15 % conjectures 5
% 2.96/1.15 % EPR 6
% 2.96/1.15 % Horn 114
% 2.96/1.15 % unary 27
% 2.96/1.15 % binary 93
% 2.96/1.15 % lits 319
% 2.96/1.15 % lits eq 8
% 2.96/1.15 % fd_pure 0
% 2.96/1.15 % fd_pseudo 0
% 2.96/1.15 % fd_cond 0
% 2.96/1.15 % fd_pseudo_cond 0
% 2.96/1.15 % AC symbols 0
% 2.96/1.15
% 2.96/1.15 % ------ Schedule dynamic 5 is on
% 2.96/1.15
% 2.96/1.15 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15 % ------
% 2.96/1.15 % Current options:
% 2.96/1.15 % ------
% 2.96/1.15
% 2.96/1.15
% 2.96/1.15 %
% 2.96/1.15
% 2.96/1.15 % ------ Proving...
% 2.96/1.15 %
% 2.96/1.15
% 2.96/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.15
% 2.96/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.96/1.16
% 2.96/1.16
%------------------------------------------------------------------------------