%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWX239_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n015.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 09:15:22 AM UTC 2026
% Result : Theorem 9.84s 3.83s
% Output : Refutation 10.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 73
% Syntax : Number of formulae : 148 ( 102 unt; 0 typ; 0 def)
% Number of atoms : 252 ( 149 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 895 ( 96 ~; 9 |; 19 &; 691 @)
% ( 10 <=>; 68 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 37 usr; 6 con; 0-3 aty)
% Number of variables : 276 ( 0 ^; 270 !; 6 ?; 276 :)
% Comments :
%------------------------------------------------------------------------------
thf(cons3_decl,type,
cons3: $o > $i > $i ).
thf(rec_decl,type,
rec: $i > $i > $o ).
thf(reck2_decl,type,
reck2: $i > $i > $o ).
thf(splits_decl,type,
splits: $i > $i > $i ).
thf(nil_decl,type,
nil: $i ).
thf(z_decl,type,
z: $i > $i > $i ).
thf(nil4_decl,type,
nil4: $i ).
thf(eps2_decl,type,
eps2: $i > $o ).
thf(step_decl,type,
step: $i > $i > $i ).
thf(y_decl,type,
y: $i > $i > $i ).
thf(x_decl,type,
x: $i > $i > $i ).
thf(proj1Star_decl,type,
proj1Star: $i > $i ).
thf(star_decl,type,
star: $i > $i ).
thf(head3_decl,type,
head3: $i > $o ).
thf(atom_decl,type,
atom: $i > $i ).
thf(eps_decl,type,
eps: $i ).
thf(tail3_decl,type,
tail3: $i > $i ).
thf(splits2_decl,type,
splits2: $i > $i ).
thf(nil2_decl,type,
nil2: $i ).
thf(cons_decl,type,
cons: $i > $i > $i ).
thf(pair2_decl,type,
pair2: $i > $i > $i ).
thf(proj2_decl,type,
proj2: $i > $i ).
thf(x2_decl,type,
x2: $i > $i > $i ).
thf(proj1_decl,type,
proj1: $i > $i ).
thf(head_decl,type,
head: $i > $i ).
thf(cons2_decl,type,
cons2: $i > $i > $i ).
thf(or2_decl,type,
or2: $i > $o ).
thf(nil3_decl,type,
nil3: $i ).
thf(proj22_decl,type,
proj22: $i > $i ).
thf(proj12_decl,type,
proj12: $i > $i ).
thf(tail_decl,type,
tail: $i > $i ).
thf(proj1pair_decl,type,
proj1pair: $i > $i ).
thf(proj1Atom_decl,type,
proj1Atom: $i > $i ).
thf(head2_decl,type,
head2: $i > $i ).
thf(proj2pair_decl,type,
proj2pair: $i > $i ).
thf(reck_decl,type,
reck: $i > $i > $i > $i ).
thf(tail2_decl,type,
tail2: $i > $i ).
thf(70,axiom,
nil2 @ ( eps @ reck2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_066) ).
thf(347,plain,
nil2 @ ( eps @ reck2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( eps
!= ( B @ ( A @ y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_029) ).
thf(228,plain,
! [A: $i,B: $i] :
( eps
!= ( B @ ( A @ y ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(51,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ pair2 ) @ proj2pair )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
thf(252,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ pair2 ) @ proj2pair )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(74,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ y ) @ reck2 ) )
<=> ( A @ splits2 @ ( C @ ( B @ reck ) ) @ or2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_072) ).
thf(360,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ splits2 @ ( C @ ( B @ reck ) ) @ or2 )
=> ( A @ ( C @ ( B @ y ) @ reck2 ) ) )
& ( ( A @ ( C @ ( B @ y ) @ reck2 ) )
=> ( A @ splits2 @ ( C @ ( B @ reck ) ) @ or2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(15,axiom,
nil4 != eps,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_022) ).
thf(130,plain,
nil4 != eps,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( B @ eps2 )
=> ( ( A @ ( C @ ( B @ y ) @ step ) )
= ( nil4 @ ( C @ ( A @ ( B @ step ) @ y ) @ x ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_061) ).
thf(87,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( B @ eps2 )
=> ( ( A @ ( C @ ( B @ y ) @ step ) )
= ( nil4 @ ( C @ ( A @ ( B @ step ) @ y ) @ x ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( D @ ( C @ pair2 ) @ cons ) @ ( A @ splits ) )
= ( B @ ( A @ splits ) @ ( D @ ( C @ ( A @ cons2 ) @ pair2 ) @ cons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_046) ).
thf(184,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( D @ ( C @ pair2 ) @ cons ) @ ( A @ splits ) )
= ( B @ ( A @ splits ) @ ( D @ ( C @ ( A @ cons2 ) @ pair2 ) @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ y ) )
!= ( C @ star ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_036) ).
thf(110,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ y ) )
!= ( C @ star ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(34,axiom,
! [A: $i] :
( eps
!= ( A @ star ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_030) ).
thf(196,plain,
! [A: $i] :
( eps
!= ( A @ star ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( nil
!= ( B @ ( A @ cons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
thf(157,plain,
! [A: $i,B: $i] :
( nil
!= ( B @ ( A @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( A @ x ) )
!= ( D @ ( C @ y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_034) ).
thf(164,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( A @ x ) )
!= ( D @ ( C @ y ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(28,axiom,
! [A: $i] : ( A @ star @ eps2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_055) ).
thf(179,plain,
! [A: $i] : ( A @ star @ eps2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(65,axiom,
! [A: $i] :
( ( nil2 @ ( A @ rec ) )
<=> ( A @ eps2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_063) ).
thf(321,plain,
! [A: $i] :
( ( ( A @ eps2 )
=> ( nil2 @ ( A @ rec ) ) )
& ( ( nil2 @ ( A @ rec ) )
=> ( A @ eps2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( nil4
!= ( B @ ( A @ y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_025) ).
thf(106,plain,
! [A: $i,B: $i] :
( nil4
!= ( B @ ( A @ y ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(71,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( D @ ( C @ cons2 ) @ ( B @ cons2 ) @ ( A @ atom @ reck2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_070) ).
thf(348,plain,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( D @ ( C @ cons2 ) @ ( B @ cons2 ) @ ( A @ atom @ reck2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ ( nil4 @ z ) )
= nil4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_041) ).
thf(84,plain,
! [A: $i] :
( ( A @ ( nil4 @ z ) )
= nil4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,axiom,
! [A: $i] :
( ( A != nil4 )
=> ( ( nil4 @ ( A @ x2 ) )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_043) ).
thf(147,plain,
! [A: $i] :
( ( A != nil4 )
=> ( ( nil4 @ ( A @ x2 ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ atom )
!= ( C @ ( B @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_031) ).
thf(133,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ atom )
!= ( C @ ( B @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(62,axiom,
! [A: $i] :
~ ( nil2 @ ( A @ atom @ reck2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_068) ).
thf(307,plain,
! [A: $i] :
~ ( nil2 @ ( A @ atom @ reck2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(59,axiom,
! [A: $i,B: $i] :
( ( A != nil4 )
=> ( ( B != nil4 )
=> ( ( B @ ( A @ x2 ) )
= ( B @ ( A @ x ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_042) ).
thf(292,plain,
! [A: $i,B: $i] :
( ( A != nil4 )
=> ( ( B != nil4 )
=> ( ( B @ ( A @ x2 ) )
= ( B @ ( A @ x ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(50,axiom,
! [A: $i] :
( nil4
!= ( A @ atom ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_023) ).
thf(248,plain,
! [A: $i] :
( nil4
!= ( A @ atom ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(12,axiom,
! [A: $o,B: $i] :
( ( B @ ( A @ cons3 ) @ tail3 )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
thf(117,plain,
! [A: $o,B: $i] :
( ( B @ ( A @ cons3 ) @ tail3 )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B = A )
=> ( ( A @ ( B @ atom @ step ) )
= eps ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_057) ).
thf(102,plain,
! [A: $i,B: $i] :
( ( B = A )
=> ( ( A @ ( B @ atom @ step ) )
= eps ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(67,axiom,
! [A: $i,B: $i] :
( ( nil2 @ ( B @ cons2 ) @ ( A @ atom @ reck2 ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_069) ).
thf(334,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( nil2 @ ( B @ cons2 ) @ ( A @ atom @ reck2 ) ) )
& ( ( nil2 @ ( B @ cons2 ) @ ( A @ atom @ reck2 ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ x ) @ proj2 )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_018) ).
thf(137,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ x ) @ proj2 )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(13,axiom,
( ( nil2 @ splits2 )
= ( nil @ ( nil2 @ ( nil2 @ pair2 ) @ cons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_047) ).
thf(124,plain,
( ( nil2 @ splits2 )
= ( nil @ ( nil2 @ ( nil2 @ pair2 ) @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ y ) @ proj12 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
thf(225,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ y ) @ proj12 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ ( nil4 @ x2 ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_044) ).
thf(161,plain,
! [A: $i] :
( ( A @ ( nil4 @ x2 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( nil2
!= ( B @ ( A @ cons2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
thf(296,plain,
! [A: $i,B: $i] :
( nil2
!= ( B @ ( A @ cons2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(53,axiom,
! [A: $o,B: $i] :
( nil3
!= ( B @ ( A @ cons3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
thf(259,plain,
! [A: $o,B: $i] :
( nil3
!= ( B @ ( A @ cons3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(58,axiom,
! [A: $o,B: $i] :
( ( B @ ( A @ cons3 ) @ or2 )
<=> ( ( B @ or2 )
| A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_050) ).
thf(281,plain,
! [A: $o,B: $i] :
( ( ( ( B @ or2 )
| A )
=> ( B @ ( A @ cons3 ) @ or2 ) )
& ( ( B @ ( A @ cons3 ) @ or2 )
=> ( ( B @ or2 )
| A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ y ) @ proj22 )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
thf(204,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ y ) @ proj22 )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(64,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ x ) @ reck2 ) )
<=> ( ( A @ ( C @ reck2 ) )
| ( A @ ( B @ reck2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_071) ).
thf(313,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( A @ ( C @ reck2 ) )
| ( A @ ( B @ reck2 ) ) )
=> ( A @ ( C @ ( B @ x ) @ reck2 ) ) )
& ( ( A @ ( C @ ( B @ x ) @ reck2 ) )
=> ( ( A @ ( C @ reck2 ) )
| ( A @ ( B @ reck2 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
thf(236,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
thf(181,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ x ) @ step ) )
= ( A @ ( C @ step ) @ ( A @ ( B @ step ) @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_059) ).
thf(187,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ x ) @ step ) )
= ( A @ ( C @ step ) @ ( A @ ( B @ step ) @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(41,axiom,
! [A: $i] :
( ( A != nil4 )
=> ( ( A @ ( eps @ z ) )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_039) ).
thf(219,plain,
! [A: $i] :
( ( A != nil4 )
=> ( ( A @ ( eps @ z ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons2 ) @ splits2 )
= ( B @ splits2 @ ( A @ splits ) @ ( B @ ( A @ cons2 ) @ ( nil2 @ pair2 ) @ cons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_048) ).
thf(274,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons2 ) @ splits2 )
= ( B @ splits2 @ ( A @ splits ) @ ( B @ ( A @ cons2 ) @ ( nil2 @ pair2 ) @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(3,axiom,
! [A: $i] :
( ( nil @ ( A @ splits ) )
= nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_045) ).
thf(81,plain,
! [A: $i] :
( ( nil @ ( A @ splits ) )
= nil ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons2 ) @ head2 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
thf(245,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons2 ) @ head2 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(55,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons2 ) @ tail2 )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
thf(271,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons2 ) @ tail2 )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(69,axiom,
! [A: $i] : ( nil2 @ ( A @ star @ reck2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_073) ).
thf(345,plain,
! [A: $i] : ( nil2 @ ( A @ star @ reck2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( B != A )
=> ( ( A @ ( B @ atom @ step ) )
= nil4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_058) ).
thf(140,plain,
! [A: $i,B: $i] :
( ( B != A )
=> ( ( A @ ( B @ atom @ step ) )
= nil4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ star @ proj1Star )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_021) ).
thf(91,plain,
! [A: $i] :
( ( A @ star @ proj1Star )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(52,axiom,
! [A: $i,B: $i] :
( ( A
!= ( A @ proj1Atom @ atom ) )
=> ( ( A
!= ( A @ proj2 @ ( A @ proj1 @ x ) ) )
=> ( ( A
!= ( A @ proj22 @ ( A @ proj12 @ y ) ) )
=> ( ( A
!= ( A @ proj1Star @ star ) )
=> ( ( B @ ( A @ step ) )
= nil4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_056) ).
thf(255,plain,
! [A: $i,B: $i] :
( ( A
!= ( A @ proj1Atom @ atom ) )
=> ( ( A
!= ( A @ proj2 @ ( A @ proj1 @ x ) ) )
=> ( ( A
!= ( A @ proj22 @ ( A @ proj12 @ y ) ) )
=> ( ( A
!= ( A @ proj1Star @ star ) )
=> ( ( B @ ( A @ step ) )
= nil4 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(68,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( E @ ( D @ pair2 ) @ cons ) @ ( B @ ( A @ reck ) ) )
= ( C @ ( B @ ( A @ reck ) )
@ ( ( ( E @ ( B @ rec ) )
& ( D @ ( A @ reck2 ) ) )
@ cons3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_076) ).
thf(342,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( E @ ( D @ pair2 ) @ cons ) @ ( B @ ( A @ reck ) ) )
= ( C @ ( B @ ( A @ reck ) )
@ ( ( ( E @ ( B @ rec ) )
& ( D @ ( A @ reck2 ) ) )
@ cons3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(33,axiom,
~ ( nil3 @ or2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_049) ).
thf(194,plain,
~ ( nil3 @ or2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( A != nil4 )
=> ( ( B != nil4 )
=> ( ( A != eps )
=> ( ( B != eps )
=> ( ( B @ ( A @ z ) )
= ( B @ ( A @ y ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_037) ).
thf(150,plain,
! [A: $i,B: $i] :
( ( A != nil4 )
=> ( ( B != nil4 )
=> ( ( A != eps )
=> ( ( B != eps )
=> ( ( B @ ( A @ z ) )
= ( B @ ( A @ y ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(66,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ cons2 ) @ ( A @ star @ reck2 ) )
<=> ( ( C @ ( B @ cons2 ) @ ( A @ star @ ( A @ y ) @ rec ) )
& ~ ( A @ eps2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_074) ).
thf(327,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( B @ cons2 ) @ ( A @ star @ ( A @ y ) @ rec ) )
& ~ ( A @ eps2 ) )
=> ( C @ ( B @ cons2 ) @ ( A @ star @ reck2 ) ) )
& ( ( C @ ( B @ cons2 ) @ ( A @ star @ reck2 ) )
=> ( ( C @ ( B @ cons2 ) @ ( A @ star @ ( A @ y ) @ rec ) )
& ~ ( A @ eps2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(63,axiom,
! [A: $i] :
~ ( A @ ( nil4 @ reck2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_065) ).
thf(310,plain,
! [A: $i] :
~ ( A @ ( nil4 @ reck2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ x ) @ proj1 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
thf(154,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ x ) @ proj1 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( A @ atom )
!= ( B @ star ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_033) ).
thf(143,plain,
! [A: $i,B: $i] :
( ( A @ atom )
!= ( B @ star ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(72,axiom,
! [A: $i,B: $i] :
~ ( B @ ( A @ cons2 ) @ ( eps @ reck2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_067) ).
thf(351,plain,
! [A: $i,B: $i] :
~ ( B @ ( A @ cons2 ) @ ( eps @ reck2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ star @ step ) )
= ( B @ star @ ( A @ ( B @ step ) @ y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_062) ).
thf(114,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ star @ step ) )
= ( B @ star @ ( A @ ( B @ step ) @ y ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ x ) @ eps2 )
<=> ( ( B @ eps2 )
| ( A @ eps2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_053) ).
thf(171,plain,
! [A: $i,B: $i] :
( ( ( ( B @ eps2 )
| ( A @ eps2 ) )
=> ( B @ ( A @ x ) @ eps2 ) )
& ( ( B @ ( A @ x ) @ eps2 )
=> ( ( B @ eps2 )
| ( A @ eps2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(1,conjecture,
? [A: $i,B: $i] :
( ( B @ ( A @ rec ) )
<~> ( B @ ( A @ reck2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_077) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] :
( ( B @ ( A @ rec ) )
<~> ( B @ ( A @ reck2 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(75,plain,
~ ? [A: $i,B: $i] :
~ ( ( ( B @ ( A @ reck2 ) )
=> ( B @ ( A @ rec ) ) )
& ( ( B @ ( A @ rec ) )
=> ( B @ ( A @ reck2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(37,axiom,
! [A: $i] :
( ( A != eps )
=> ( ( A
!= ( A @ proj2 @ ( A @ proj1 @ x ) ) )
=> ( ( A
!= ( A @ proj22 @ ( A @ proj12 @ y ) ) )
=> ( ( A
!= ( A @ proj1Star @ star ) )
=> ~ ( A @ eps2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_051) ).
thf(207,plain,
! [A: $i] :
( ( A != eps )
=> ( ( A
!= ( A @ proj2 @ ( A @ proj1 @ x ) ) )
=> ( ( A
!= ( A @ proj22 @ ( A @ proj12 @ y ) ) )
=> ( ( A
!= ( A @ proj1Star @ star ) )
=> ~ ( A @ eps2 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(39,axiom,
eps @ eps2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_052) ).
thf(214,plain,
eps @ eps2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(61,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ y ) @ eps2 )
<=> ( ( B @ eps2 )
& ( A @ eps2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_054) ).
thf(300,plain,
! [A: $i,B: $i] :
( ( ( ( B @ eps2 )
& ( A @ eps2 ) )
=> ( B @ ( A @ y ) @ eps2 ) )
& ( ( B @ ( A @ y ) @ eps2 )
=> ( ( B @ eps2 )
& ( A @ eps2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(26,axiom,
! [A: $i] :
( ( A != nil4 )
=> ( ( A != eps )
=> ( ( eps @ ( A @ z ) )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_038) ).
thf(168,plain,
! [A: $i] :
( ( A != nil4 )
=> ( ( A != eps )
=> ( ( eps @ ( A @ z ) )
= A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(32,axiom,
! [A: $i] :
( nil4
!= ( A @ star ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_026) ).
thf(190,plain,
! [A: $i] :
( nil4
!= ( A @ star ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ eps2 )
=> ( ( A @ ( C @ ( B @ y ) @ step ) )
= ( A @ ( C @ step ) @ ( C @ ( A @ ( B @ step ) @ y ) @ x ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_060) ).
thf(210,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ eps2 )
=> ( ( A @ ( C @ ( B @ y ) @ step ) )
= ( A @ ( C @ step ) @ ( C @ ( A @ ( B @ step ) @ y ) @ x ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(14,axiom,
! [A: $i] :
( eps
!= ( A @ atom ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_027) ).
thf(126,plain,
! [A: $i] :
( eps
!= ( A @ atom ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( nil @ ( B @ ( A @ reck ) ) )
= nil3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_075) ).
thf(268,plain,
! [A: $i,B: $i] :
( ( nil @ ( B @ ( A @ reck ) ) )
= nil3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(7,axiom,
! [A: $o,B: $i] :
( ( B @ ( A @ cons3 ) @ head3 )
<=> A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
thf(94,plain,
! [A: $o,B: $i] :
( ( A
=> ( B @ ( A @ cons3 ) @ head3 ) )
& ( ( B @ ( A @ cons3 ) @ head3 )
=> A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(47,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ pair2 ) @ proj1pair )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
thf(239,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ pair2 ) @ proj1pair )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ atom @ proj1Atom )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
thf(242,plain,
! [A: $i] :
( ( A @ atom @ proj1Atom )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ x ) )
!= ( C @ star ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_035) ).
thf(200,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ x ) )
!= ( C @ star ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(57,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ atom )
!= ( C @ ( B @ y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_032) ).
thf(277,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ atom )
!= ( C @ ( B @ y ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(73,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ cons2 ) @ ( A @ rec ) )
<=> ( C @ ( B @ ( A @ step ) @ rec ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_064) ).
thf(354,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( A @ step ) @ rec ) )
=> ( C @ ( B @ cons2 ) @ ( A @ rec ) ) )
& ( ( C @ ( B @ cons2 ) @ ( A @ rec ) )
=> ( C @ ( B @ ( A @ step ) @ rec ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( eps
!= ( B @ ( A @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_028) ).
thf(215,plain,
! [A: $i,B: $i] :
( eps
!= ( B @ ( A @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(42,axiom,
! [A: $i] :
( ( A != nil4 )
=> ( ( nil4 @ ( A @ z ) )
= nil4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_040) ).
thf(222,plain,
! [A: $i] :
( ( A != nil4 )
=> ( ( nil4 @ ( A @ z ) )
= nil4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( nil4
!= ( B @ ( A @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_024) ).
thf(232,plain,
! [A: $i,B: $i] :
( nil4
!= ( B @ ( A @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(444,plain,
$false,
inference(e,[status(thm)],[347,228,252,360,130,87,184,110,196,157,164,179,321,106,348,84,147,133,307,292,248,117,102,334,137,124,225,161,296,259,281,204,313,236,181,187,219,274,81,245,271,345,140,91,255,342,194,150,327,310,154,143,351,114,171,75,207,214,300,168,190,210,126,268,94,239,242,200,277,354,215,222,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWX239_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.10 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.16/0.43 % Computer : n015.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 17:05:29 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.87/1.02 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.37/1.26 % [INFO] Parsing done (236ms).
% 1.37/1.27 % [INFO] Running in sequential loop mode.
% 2.19/1.66 % [INFO] eprover registered as external prover.
% 2.19/1.67 % [INFO] Scanning for conjecture ...
% 2.42/1.76 % [WARNING] Symbol 'rec' was used without specifying its type first. Assuming default type '$i -> $i -> $o' ...
% 2.42/1.76 % [WARNING] Symbol 'reck2' was used without specifying its type first. Assuming default type '$i -> $i -> $o' ...
% 2.42/1.79 % [INFO] Found a conjecture (or negated_conjecture) and 75 axioms. Running axiom selection ...
% 2.62/1.89 % [INFO] Axiom selection finished. Selected 72 axioms (removed 3 axioms).
% 2.62/1.89 % [WARNING] Symbol 'splits' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.62/1.90 % [WARNING] Symbol 'nil' was used without specifying its type first. Assuming default type '$i' ...
% 2.86/1.90 % [WARNING] Symbol 'z' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.86/1.90 % [WARNING] Symbol 'nil4' was used without specifying its type first. Assuming default type '$i' ...
% 2.86/1.90 % [WARNING] Symbol 'eps2' was used without specifying its type first. Assuming default type '$i -> $o' ...
% 2.86/1.90 % [WARNING] Symbol 'step' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.86/1.90 % [WARNING] Symbol 'y' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.86/1.90 % [WARNING] Symbol 'x' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.86/1.91 % [WARNING] Symbol 'proj1Star' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.91 % [WARNING] Symbol 'star' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.91 % [WARNING] Symbol 'head3' was used without specifying its type first. Assuming default type '$i -> $o' ...
% 2.86/1.91 % [WARNING] Symbol 'atom' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.91 % [WARNING] Symbol 'eps' was used without specifying its type first. Assuming default type '$i' ...
% 2.86/1.92 % [WARNING] Symbol 'tail3' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.92 % [WARNING] Symbol 'splits2' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.92 % [WARNING] Symbol 'nil2' was used without specifying its type first. Assuming default type '$i' ...
% 2.86/1.92 % [WARNING] Symbol 'cons' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.86/1.92 % [WARNING] Symbol 'pair2' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.86/1.93 % [WARNING] Symbol 'proj2' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.93 % [WARNING] Symbol 'x2' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.86/1.94 % [WARNING] Symbol 'proj1' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.95 % [WARNING] Symbol 'head' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.95 % [WARNING] Symbol 'cons2' was used without specifying its type first. Assuming default type '$i -> $i -> $i' ...
% 2.86/1.95 % [WARNING] Symbol 'or2' was used without specifying its type first. Assuming default type '$i -> $o' ...
% 2.86/1.95 % [WARNING] Symbol 'nil3' was used without specifying its type first. Assuming default type '$i' ...
% 2.86/1.96 % [WARNING] Symbol 'proj22' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.96 % [WARNING] Symbol 'proj12' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.97 % [WARNING] Symbol 'tail' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.97 % [WARNING] Symbol 'proj1pair' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.97 % [WARNING] Symbol 'proj1Atom' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.97 % [WARNING] Symbol 'head2' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.98 % [WARNING] Symbol 'proj2pair' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/1.98 % [WARNING] Symbol 'reck' was used without specifying its type first. Assuming default type '$i -> $i -> $i -> $i' ...
% 2.86/1.98 % [WARNING] Symbol 'tail2' was used without specifying its type first. Assuming default type '$i -> $i' ...
% 2.86/2.01 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.86/2.02 % [INFO] Type checking passed.
% 2.86/2.03 % [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 ...
% 9.84/3.82 % External prover 'e' found a proof!
% 9.84/3.82 % [INFO] Killing All external provers ...
% 9.84/3.83 % Time passed: 3254ms (effective reasoning time: 2546ms)
% 9.84/3.83 % Solved by 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)>
% 9.84/3.83 % Axioms used in derivation (72): axiom_028, axiom_023, axiom_072, axiom_068, axiom_069, axiom_041, axiom_029, axiom_036, axiom_025, axiom_066, axiom_039, axiom_024, axiom_009, axiom_040, axiom_046, axiom_017, axiom_057, axiom_035, axiom_050, axiom_067, axiom_051, axiom_073, axiom_061, axiom_010, axiom_021, axiom_032, axiom_054, axiom_002, axiom_043, axiom_006, axiom_049, axiom_034, axiom_016, axiom_056, axiom_076, axiom_027, axiom_005, axiom_045, axiom_065, axiom_038, axiom_012, axiom_062, axiom_059, axiom_044, axiom_031, axiom_004, axiom_055, axiom_033, axiom_022, axiom_075, axiom_063, axiom_011, axiom_026, axiom_052, axiom_037, axiom_071, axiom_020, axiom_060, axiom_048, axiom_030, axiom_074, axiom_019, axiom_008, axiom_003, axiom_042, axiom_070, axiom_047, axiom_007, axiom_018, axiom_058, axiom_053, axiom_064
% 9.84/3.83 % No. of inferences in proof: 148
% 9.84/3.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3254 ms resp. 2546 ms w/o parsing
% 10.24/3.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.24/3.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------