%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV005-2 : 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 : 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 01:39:54 PM UTC 2026
% Result : Unsatisfiable 0.84s 1.28s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 29
% Syntax : Number of formulae : 98 ( 25 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 202 ( 96 ~; 106 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?; 29 :)
% 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(f9,axiom,
! [X0] :
( zero(in2(X0))
| zero(in1(X0))
| ~ zero(out1(X0))
| ~ and_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_0_00) ).
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(f18,axiom,
! [X0] :
( zero(in1(X0))
| ~ zero(out1(X0))
| ~ or_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_0_0x) ).
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(f22,axiom,
! [X0] :
( one(out1(X0))
| ~ zero(in1(X0))
| ~ not_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_0_1_fw) ).
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(f24,axiom,
! [X0] :
( one(in1(X0))
| ~ zero(out1(X0))
| ~ not_ok(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_0_1_bw) ).
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(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(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,
halfadder(h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_isa_halfadder) ).
fof(f42,axiom,
one(in1(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
fof(f44,axiom,
zero(outs(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_0) ).
fof(f45,axiom,
zero(outc(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
fof(f46,negated_conjecture,
~ abnormal(and1(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1) ).
fof(f47,negated_conjecture,
~ abnormal(not1(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1) ).
fof(f48,negated_conjecture,
~ abnormal(or1(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( zero(X1)
| ~ zero(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( one(X1)
| ~ one(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( zero(X0)
| ~ zero(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( one(X0)
| ~ one(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_101,plain,
! [X0: $i] :
( ~ zero(X0)
| ~ one(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_105,plain,
! [X0: $i] :
( zero(in2(X0))
| zero(in1(X0))
| ~ and_ok(X0)
| ~ zero(out1(X0)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_109,plain,
! [X0: $i] :
( and_ok(X0)
| abnormal(X0)
| ~ logic_and(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_114,plain,
! [X0: $i] :
( zero(in1(X0))
| ~ or_ok(X0)
| ~ zero(out1(X0)) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_117,plain,
! [X0: $i] :
( or_ok(X0)
| abnormal(X0)
| ~ logic_or(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_118,plain,
! [X0: $i] :
( one(out1(X0))
| ~ not_ok(X0)
| ~ zero(in1(X0)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_119,plain,
! [X0: $i] :
( zero(out1(X0))
| ~ not_ok(X0)
| ~ one(in1(X0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_120,plain,
! [X0: $i] :
( one(in1(X0))
| ~ not_ok(X0)
| ~ zero(out1(X0)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_123,plain,
! [X0: $i] :
( not_ok(X0)
| abnormal(X0)
| ~ logic_not(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_124,plain,
! [X0: $i] :
( logic_and(and1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_126,plain,
! [X0: $i] :
( logic_not(not1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_127,plain,
! [X0: $i] :
( logic_or(or1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_128,plain,
! [X0: $i] :
( connection(in1(X0),in1(or1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_132,plain,
! [X0: $i] :
( connection(outs(X0),out1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_133,plain,
! [X0: $i] :
( connection(outc(X0),out1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_134,plain,
! [X0: $i] :
( connection(out1(or1(X0)),in1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_135,plain,
! [X0: $i] :
( connection(out1(and2(X0)),in1(not1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_136,plain,
! [X0: $i] :
( connection(out1(not1(X0)),in2(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_137,plain,
halfadder(h),
inference(cnf_transformation,[],[f41]) ).
tcf(c_138,plain,
one(in1(h)),
inference(cnf_transformation,[],[f42]) ).
tcf(c_140,plain,
zero(outs(h)),
inference(cnf_transformation,[],[f44]) ).
tcf(c_141,plain,
zero(outc(h)),
inference(cnf_transformation,[],[f45]) ).
tcf(c_142,negated_conjecture,
~ abnormal(and1(h)),
inference(cnf_transformation,[],[f46]) ).
tcf(c_143,negated_conjecture,
~ abnormal(not1(h)),
inference(cnf_transformation,[],[f47]) ).
tcf(c_144,negated_conjecture,
~ abnormal(or1(h)),
inference(cnf_transformation,[],[f48]) ).
tcf(c_406,plain,
! [X0: $i] :
( not_ok(not1(X0))
| abnormal(not1(X0))
| ~ halfadder(X0) ),
inference(resolution,[status(thm)],[c_126,c_123]) ).
tcf(c_407,plain,
( not_ok(not1(h))
| abnormal(not1(h))
| ~ halfadder(h) ),
inference(instantiation,[status(thm)],[c_406]) ).
tcf(c_420,plain,
! [X0: $i] :
( or_ok(or1(X0))
| abnormal(or1(X0))
| ~ halfadder(X0) ),
inference(resolution,[status(thm)],[c_127,c_117]) ).
tcf(c_421,plain,
( or_ok(or1(h))
| abnormal(or1(h))
| ~ halfadder(h) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_434,plain,
! [X0: $i] :
( and_ok(and1(X0))
| abnormal(and1(X0))
| ~ halfadder(X0) ),
inference(resolution,[status(thm)],[c_124,c_109]) ).
tcf(c_435,plain,
( and_ok(and1(h))
| abnormal(and1(h))
| ~ halfadder(h) ),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_462,plain,
( or_ok(or1(h))
| abnormal(or1(h)) ),
inference(resolution,[status(thm)],[c_137,c_420]) ).
tcf(c_463,plain,
or_ok(or1(h)),
inference(global_subsumption_just,[status(thm)],[c_462,c_137,c_144,c_421]) ).
tcf(c_468,plain,
( not_ok(not1(h))
| abnormal(not1(h)) ),
inference(resolution,[status(thm)],[c_137,c_406]) ).
tcf(c_469,plain,
not_ok(not1(h)),
inference(global_subsumption_just,[status(thm)],[c_468,c_137,c_143,c_407]) ).
tcf(c_474,plain,
connection(out1(not1(h)),in2(and1(h))),
inference(resolution,[status(thm)],[c_137,c_136]) ).
tcf(c_478,plain,
connection(out1(and2(h)),in1(not1(h))),
inference(resolution,[status(thm)],[c_137,c_135]) ).
tcf(c_482,plain,
connection(out1(or1(h)),in1(and1(h))),
inference(resolution,[status(thm)],[c_137,c_134]) ).
tcf(c_486,plain,
connection(outc(h),out1(and2(h))),
inference(resolution,[status(thm)],[c_137,c_133]) ).
tcf(c_490,plain,
connection(outs(h),out1(and1(h))),
inference(resolution,[status(thm)],[c_137,c_132]) ).
tcf(c_506,plain,
connection(in1(h),in1(or1(h))),
inference(resolution,[status(thm)],[c_137,c_128]) ).
tcf(c_514,plain,
logic_and(and1(h)),
inference(resolution,[status(thm)],[c_137,c_124]) ).
tcf(c_538,plain,
( and_ok(and1(h))
| abnormal(and1(h)) ),
inference(resolution,[status(thm)],[c_109,c_514]) ).
tcf(c_539,plain,
and_ok(and1(h)),
inference(global_subsumption_just,[status(thm)],[c_538,c_137,c_142,c_435]) ).
tcf(c_573,plain,
( one(in1(not1(h)))
| ~ zero(out1(not1(h))) ),
inference(resolution,[status(thm)],[c_120,c_469]) ).
tcf(c_580,plain,
( zero(out1(not1(h)))
| ~ one(in1(not1(h))) ),
inference(resolution,[status(thm)],[c_119,c_469]) ).
tcf(c_587,plain,
( one(out1(not1(h)))
| ~ zero(in1(not1(h))) ),
inference(resolution,[status(thm)],[c_118,c_469]) ).
tcf(c_609,plain,
( zero(in1(or1(h)))
| ~ zero(out1(or1(h))) ),
inference(resolution,[status(thm)],[c_114,c_463]) ).
tcf(c_678,plain,
( zero(in2(and1(h)))
| zero(in1(and1(h)))
| ~ zero(out1(and1(h))) ),
inference(resolution,[status(thm)],[c_105,c_539]) ).
tcf(c_726,plain,
( one(outc(h))
| ~ one(out1(and2(h))) ),
inference(resolution,[status(thm)],[c_100,c_486]) ).
tcf(c_734,plain,
( one(out1(and2(h)))
| ~ one(outc(h)) ),
inference(resolution,[status(thm)],[c_98,c_486]) ).
tcf(c_741,plain,
( zero(out1(and2(h)))
| ~ zero(outc(h)) ),
inference(resolution,[status(thm)],[c_97,c_486]) ).
tcf(c_762,plain,
( zero(out1(and1(h)))
| ~ zero(outs(h)) ),
inference(resolution,[status(thm)],[c_97,c_490]) ).
tcf(c_832,plain,
( zero(in1(h))
| ~ zero(in1(or1(h))) ),
inference(resolution,[status(thm)],[c_99,c_506]) ).
tcf(c_859,plain,
( zero(out1(not1(h)))
| ~ zero(in2(and1(h))) ),
inference(resolution,[status(thm)],[c_99,c_474]) ).
tcf(c_880,plain,
( one(out1(and2(h)))
| ~ one(in1(not1(h))) ),
inference(resolution,[status(thm)],[c_100,c_478]) ).
tcf(c_888,plain,
( one(in1(not1(h)))
| ~ one(out1(and2(h))) ),
inference(resolution,[status(thm)],[c_98,c_478]) ).
tcf(c_895,plain,
( zero(in1(not1(h)))
| ~ zero(out1(and2(h))) ),
inference(resolution,[status(thm)],[c_97,c_478]) ).
tcf(c_907,plain,
( zero(out1(or1(h)))
| ~ zero(in1(and1(h))) ),
inference(resolution,[status(thm)],[c_99,c_482]) ).
tcf(c_995,plain,
( zero(out1(not1(h)))
| ~ one(outc(h)) ),
inference(prop_impl_just,[status(thm)],[c_580,c_734,c_888]) ).
tcf(c_1037,plain,
( one(outc(h))
| zero(in1(h)) ),
inference(prop_impl_just,[status(thm)],[c_140,c_573,c_609,c_678,c_726,c_762,c_832,c_859,c_880,c_907]) ).
tcf(c_1038,plain,
( zero(in1(h))
| one(outc(h)) ),
inference(renaming,[status(thm)],[c_1037]) ).
tcf(c_1429,plain,
( ~ zero(in1(h))
| ~ one(in1(h)) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1430,plain,
( ~ zero(out1(not1(h)))
| ~ one(out1(not1(h))) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1431,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1430,c_1429,c_995,c_1038,c_895,c_741,c_587,c_138,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV005-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 16:22:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 0.84/1.28 % SZS status Started for theBenchmark.p
% 0.84/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 0.84/1.28
% 0.84/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.84/1.28
% 0.84/1.28 % ------ iProver source info
% 0.84/1.28
% 0.84/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.84/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.84/1.28 % git: non_committed_changes: false
% 0.84/1.28
% 0.84/1.28 % ------ Parsing...% successful
% 0.84/1.28
% 0.84/1.28
% 0.84/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.84/1.28
% 0.84/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.84/1.28
% 0.84/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.84/1.28 % ------ Proving...
% 0.84/1.28 % ------ Problem Properties
% 0.84/1.28
% 0.84/1.28 %
% 0.84/1.28 % clauses 35
% 0.84/1.28 % conjectures 0
% 0.84/1.28 % EPR 1
% 0.84/1.28 % Horn 34
% 0.84/1.28 % unary 17
% 0.84/1.28 % binary 18
% 0.84/1.28 % lits 53
% 0.84/1.28 % lits eq 0
% 0.84/1.28 % fd_pure 0
% 0.84/1.28 % fd_pseudo 0
% 0.84/1.28 % fd_cond 0
% 0.84/1.28 % fd_pseudo_cond 0
% 0.84/1.28 % AC symbols 0
% 0.84/1.28
% 0.84/1.28 % ------ Schedule dynamic 5 is on
% 0.84/1.28
% 0.84/1.28 % ------ no conjectures: strip conj schedule
% 0.84/1.28
% 0.84/1.28 % ------ no equalities: superposition off
% 0.84/1.28
% 0.84/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.84/1.28
% 0.84/1.28
% 0.84/1.28 % ------
% 0.84/1.28 % Current options:
% 0.84/1.28 % ------
% 0.84/1.28
% 0.84/1.28
% 0.84/1.28 %
% 0.84/1.28
% 0.84/1.28 % ------ Proving...
% 0.84/1.28 %
% 0.84/1.28
% 0.84/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 0.84/1.28
% 0.84/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.84/1.28
% 0.84/1.28
%------------------------------------------------------------------------------