%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : HWV005-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 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 : Sun Sep 27 07:32:07 AM UTC 2026
% Result : Unsatisfiable 6.19s 3.43s
% Output : Refutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 48
% Syntax : Number of formulae : 97 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 231 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 682 ( 138 ~; 134 |; 0 &; 410 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 21 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(abnormal_decl,type,
abnormal: $i > $o ).
thf(and1_decl,type,
and1: $i > $i ).
thf(h_decl,type,
h: $i ).
thf(not1_decl,type,
not1: $i > $i ).
thf(or1_decl,type,
or1: $i > $i ).
thf(and_ok_decl,type,
and_ok: $i > $o ).
thf(one_decl,type,
one: $i > $o ).
thf(out1_decl,type,
out1: $i > $i ).
thf(in1_decl,type,
in1: $i > $i ).
thf(or_ok_decl,type,
or_ok: $i > $o ).
thf(zero_decl,type,
zero: $i > $o ).
thf(halfadder_decl,type,
halfadder: $i > $o ).
thf(connection_decl,type,
connection: $i > $i > $o ).
thf(and2_decl,type,
and2: $i > $i ).
thf(in2_decl,type,
in2: $i > $i ).
thf(not_ok_decl,type,
not_ok: $i > $o ).
thf(logic_and_decl,type,
logic_and: $i > $o ).
thf(outc_decl,type,
outc: $i > $i ).
thf(outs_decl,type,
outs: $i > $i ).
thf(logic_not_decl,type,
logic_not: $i > $o ).
thf(logic_or_decl,type,
logic_or: $i > $o ).
thf(35,axiom,
! [A: $i] :
( ( A @ or1 @ in2 @ ( A @ in2 @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).
thf(115,plain,
! [A: $i] :
( ( A @ or1 @ in2 @ ( A @ in2 @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ and2 @ in1 @ ( A @ in1 @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
thf(59,plain,
! [A: $i] :
( ( A @ and2 @ in1 @ ( A @ in1 @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(44,axiom,
! [A: $i] :
( ( A @ or1 @ in1 @ ( A @ in1 @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).
thf(130,plain,
! [A: $i] :
( ( A @ or1 @ in1 @ ( A @ in1 @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(33,axiom,
h @ outs @ zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_0) ).
thf(112,plain,
h @ outs @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ in1 @ one )
| ~ ( A @ out1 @ one )
| ~ ( A @ and_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_1x) ).
thf(55,plain,
! [A: $i] :
( ( A @ in1 @ one )
| ~ ( A @ out1 @ one )
| ~ ( A @ and_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
~ ( h @ or1 @ abnormal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1) ).
thf(51,plain,
~ ( h @ or1 @ abnormal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ out1 @ zero )
| ~ ( A @ in2 @ zero )
| ~ ( A @ in1 @ zero )
| ~ ( A @ or_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_00_0) ).
thf(69,plain,
! [A: $i] :
( ( A @ out1 @ zero )
| ~ ( A @ in2 @ zero )
| ~ ( A @ in1 @ zero )
| ~ ( A @ or_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(48,axiom,
! [A: $i] :
( ~ ( A @ abnormal )
| ~ ( A @ and_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_and_ok_and_abnormal) ).
thf(138,plain,
! [A: $i] :
( ~ ( A @ abnormal )
| ~ ( A @ and_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ and2 @ in2 @ ( A @ in2 @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).
thf(101,plain,
! [A: $i] :
( ( A @ and2 @ in2 @ ( A @ in2 @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ and1 @ in1 @ ( A @ or1 @ out1 @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
thf(110,plain,
! [A: $i] :
( ( A @ and1 @ in1 @ ( A @ or1 @ out1 @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(41,axiom,
! [A: $i] :
( ( A @ abnormal )
| ( A @ and_ok )
| ~ ( A @ logic_and ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_ok_or_abnormal) ).
thf(125,plain,
! [A: $i] :
( ( A @ abnormal )
| ( A @ and_ok )
| ~ ( A @ logic_and ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ out1 @ one )
| ~ ( A @ in1 @ one )
| ~ ( A @ or_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1x_1) ).
thf(93,plain,
! [A: $i] :
( ( A @ out1 @ one )
| ~ ( A @ in1 @ one )
| ~ ( A @ or_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ in1 @ zero )
| ~ ( A @ out1 @ zero )
| ~ ( A @ or_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_0_0x) ).
thf(57,plain,
! [A: $i] :
( ( A @ in1 @ zero )
| ~ ( A @ out1 @ zero )
| ~ ( A @ or_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(30,axiom,
! [A: $i] :
( ~ ( A @ abnormal )
| ~ ( A @ or_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_or_ok_and_abnormal) ).
thf(106,plain,
! [A: $i] :
( ~ ( A @ abnormal )
| ~ ( A @ or_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(38,axiom,
h @ halfadder,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_isa_halfadder) ).
thf(121,plain,
h @ halfadder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ out1 @ one )
| ~ ( A @ in2 @ one )
| ~ ( A @ or_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_x1_1) ).
thf(61,plain,
! [A: $i] :
( ( A @ out1 @ one )
| ~ ( A @ in2 @ one )
| ~ ( A @ or_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(45,axiom,
! [A: $i] :
( ( A @ not1 @ logic_not )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_not1) ).
thf(132,plain,
! [A: $i] :
( ( A @ not1 @ logic_not )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(21,axiom,
! [A: $i] :
( ~ ( A @ one )
| ~ ( A @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_value) ).
thf(89,plain,
! [A: $i] :
( ~ ( A @ one )
| ~ ( A @ zero ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ not1 @ in1 @ ( A @ and2 @ out1 @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
thf(117,plain,
! [A: $i] :
( ( A @ not1 @ in1 @ ( A @ and2 @ out1 @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ in2 @ one )
| ( A @ in1 @ one )
| ~ ( A @ out1 @ one )
| ~ ( A @ or_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1_11) ).
thf(85,plain,
! [A: $i] :
( ( A @ in2 @ one )
| ( A @ in1 @ one )
| ~ ( A @ out1 @ one )
| ~ ( A @ or_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ out1 @ one )
| ~ ( A @ in1 @ zero )
| ~ ( A @ not_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_0_1_fw) ).
thf(65,plain,
! [A: $i] :
( ( A @ out1 @ one )
| ~ ( A @ in1 @ zero )
| ~ ( A @ not_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ( B @ one )
| ~ ( A @ one )
| ~ ( B @ ( A @ connection ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_one1) ).
thf(97,plain,
! [B: $i,A: $i] :
( ( B @ one )
| ~ ( A @ one )
| ~ ( B @ ( A @ connection ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(40,axiom,
h @ outc @ zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
thf(124,plain,
h @ outc @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ in1 @ one )
| ~ ( A @ out1 @ zero )
| ~ ( A @ not_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_0_1_bw) ).
thf(77,plain,
! [A: $i] :
( ( A @ in1 @ one )
| ~ ( A @ out1 @ zero )
| ~ ( A @ not_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ and1 @ in2 @ ( A @ not1 @ out1 @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
thf(134,plain,
! [A: $i] :
( ( A @ and1 @ in2 @ ( A @ not1 @ out1 @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( A @ zero )
| ~ ( B @ zero )
| ~ ( B @ ( A @ connection ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_zero2) ).
thf(73,plain,
! [B: $i,A: $i] :
( ( A @ zero )
| ~ ( B @ zero )
| ~ ( B @ ( A @ connection ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ and1 @ out1 @ ( A @ outs @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
thf(128,plain,
! [A: $i] :
( ( A @ and1 @ out1 @ ( A @ outs @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(29,axiom,
h @ in2 @ zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).
thf(105,plain,
h @ in2 @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ out1 @ zero )
| ~ ( A @ in2 @ zero )
| ~ ( A @ and_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_x0_0) ).
thf(71,plain,
! [A: $i] :
( ( A @ out1 @ zero )
| ~ ( A @ in2 @ zero )
| ~ ( A @ and_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
~ ( h @ and1 @ abnormal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1) ).
thf(49,plain,
~ ( h @ and1 @ abnormal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ abnormal )
| ( A @ not_ok )
| ~ ( A @ logic_not ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_ok_or_abnormal) ).
thf(113,plain,
! [A: $i] :
( ( A @ abnormal )
| ( A @ not_ok )
| ~ ( A @ logic_not ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ out1 @ one )
| ~ ( A @ in2 @ one )
| ~ ( A @ in1 @ one )
| ~ ( A @ and_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_11_1) ).
thf(81,plain,
! [A: $i] :
( ( A @ out1 @ one )
| ~ ( A @ in2 @ one )
| ~ ( A @ in1 @ one )
| ~ ( A @ and_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ out1 @ zero )
| ~ ( A @ in1 @ one )
| ~ ( A @ not_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_1_0_fw) ).
thf(103,plain,
! [A: $i] :
( ( A @ out1 @ zero )
| ~ ( A @ in1 @ one )
| ~ ( A @ not_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ( A @ one )
| ~ ( B @ one )
| ~ ( B @ ( A @ connection ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_one2) ).
thf(91,plain,
! [B: $i,A: $i] :
( ( A @ one )
| ~ ( B @ one )
| ~ ( B @ ( A @ connection ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(31,axiom,
! [A: $i] :
( ( A @ and1 @ logic_and )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and1) ).
thf(108,plain,
! [A: $i] :
( ( A @ and1 @ logic_and )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ zero )
| ~ ( A @ zero )
| ~ ( B @ ( A @ connection ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_zero1) ).
thf(63,plain,
! [B: $i,A: $i] :
( ( B @ zero )
| ~ ( A @ zero )
| ~ ( B @ ( A @ connection ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ in2 @ one )
| ~ ( A @ out1 @ one )
| ~ ( A @ and_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_x1) ).
thf(95,plain,
! [A: $i] :
( ( A @ in2 @ one )
| ~ ( A @ out1 @ one )
| ~ ( A @ and_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(2,negated_conjecture,
~ ( h @ not1 @ abnormal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1) ).
thf(50,plain,
~ ( h @ not1 @ abnormal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ out1 @ zero )
| ~ ( A @ in1 @ zero )
| ~ ( A @ and_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_0x_0) ).
thf(67,plain,
! [A: $i] :
( ( A @ out1 @ zero )
| ~ ( A @ in1 @ zero )
| ~ ( A @ and_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(42,axiom,
h @ in1 @ one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
thf(127,plain,
h @ in1 @ one,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ and2 @ out1 @ ( A @ outc @ connection ) )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
thf(99,plain,
! [A: $i] :
( ( A @ and2 @ out1 @ ( A @ outc @ connection ) )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ in2 @ zero )
| ~ ( A @ out1 @ zero )
| ~ ( A @ or_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_0_01) ).
thf(87,plain,
! [A: $i] :
( ( A @ in2 @ zero )
| ~ ( A @ out1 @ zero )
| ~ ( A @ or_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ and2 @ logic_and )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and2) ).
thf(75,plain,
! [A: $i] :
( ( A @ and2 @ logic_and )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ abnormal )
| ( A @ or_ok )
| ~ ( A @ logic_or ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_ok_or_abnormal) ).
thf(119,plain,
! [A: $i] :
( ( A @ abnormal )
| ( A @ or_ok )
| ~ ( A @ logic_or ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(47,axiom,
! [A: $i] :
( ~ ( A @ abnormal )
| ~ ( A @ not_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not__not_ok_and_abnormal) ).
thf(136,plain,
! [A: $i] :
( ~ ( A @ abnormal )
| ~ ( A @ not_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ in2 @ zero )
| ( A @ in1 @ zero )
| ~ ( A @ out1 @ zero )
| ~ ( A @ and_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_0_00) ).
thf(79,plain,
! [A: $i] :
( ( A @ in2 @ zero )
| ( A @ in1 @ zero )
| ~ ( A @ out1 @ zero )
| ~ ( A @ and_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(39,axiom,
! [A: $i] :
( ( A @ or1 @ logic_or )
| ~ ( A @ halfadder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_or1) ).
thf(122,plain,
! [A: $i] :
( ( A @ or1 @ logic_or )
| ~ ( A @ halfadder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ in1 @ zero )
| ~ ( A @ out1 @ one )
| ~ ( A @ not_ok ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_1_0_bw) ).
thf(83,plain,
! [A: $i] :
( ( A @ in1 @ zero )
| ~ ( A @ out1 @ one )
| ~ ( A @ not_ok ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(140,plain,
$false,
inference(e,[status(thm)],[115,59,130,112,55,51,69,138,101,110,125,93,57,106,121,61,132,89,117,85,65,97,124,77,134,73,128,105,71,49,113,81,103,91,108,63,95,50,67,127,99,87,75,119,136,79,122,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV005-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 16:02:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.35/1.24 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.89/1.57 % [INFO] Parsing done (327ms).
% 1.89/1.59 % [INFO] Running in sequential loop mode.
% 3.22/2.21 % [INFO] eprover registered as external prover.
% 3.22/2.22 % [INFO] Scanning for conjecture ...
% 3.47/2.38 % [INFO] Found a conjecture (or negated_conjecture) and 45 axioms. Running axiom selection ...
% 3.83/2.50 % [INFO] Axiom selection finished. Selected 45 axioms (removed 0 axioms).
% 3.83/2.59 % [INFO] Problem is propositional (TPTP CNF).
% 4.05/2.60 % [INFO] Type checking passed.
% 4.05/2.61 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.19/3.43 % External prover 'e' found a proof!
% 6.19/3.43 % [INFO] Killing All external provers ...
% 6.19/3.43 % Time passed: 2844ms (effective reasoning time: 1827ms)
% 6.19/3.43 % Axioms used in derivation (45): halfadder_or1, halfadder_connection_out1and2_in1not1, or_0_0x, or_1_11, halfadder_connection_in2_in2and2, halfadder_not1, halfadder_connection_in2_in2or1, halfadder_connection_out1not1_in2and1, and_11_1, and_1_1x, in1_1, halfadder_connection_in1_in1and2, or_x1_1, halfadder_and1, halfadder_connection_outs_out1and1, not_and_ok_and_abnormal, not__not_ok_and_abnormal, halfadder_connection_out1or1_in1_and1, halfadder_connection_outc_out1and2, not_0_1_fw, or_00_0, and_0_00, halfadder_and2, or_0_01, outc_0, or_ok_or_abnormal, halfadder_connection_in1_in1or1, outs_0, in2_0, not_1_0_bw, not_or_ok_and_abnormal, not_ok_or_abnormal, value_propagation_zero2, or_1x_1, value_propagation_one1, not_1_0_fw, unique_value, and_ok_or_abnormal, and_0x_0, value_propagation_zero1, h_isa_halfadder, and_x0_0, and_1_x1, not_0_1_bw, value_propagation_one2
% 6.19/3.43 % No. of inferences in proof: 97
% 6.19/3.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2844 ms resp. 1827 ms w/o parsing
% 6.49/3.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.49/3.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------