%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PLA031-1.001 : TPTP v9.3.1. Released v3.5.0.
% 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 : n026.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 08:19:57 AM UTC 2026
% Result : Unsatisfiable 50.75s 18.66s
% Output : Refutation 42.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 106
% Syntax : Number of formulae : 260 ( 196 unt; 0 typ; 0 def)
% Number of atoms : 384 ( 50 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1251 ( 149 ~; 84 |; 0 &;1018 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 10 con; 0-6 aty)
% Number of variables : 236 ( 0 ^; 236 !; 0 ?; 236 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_decl,type,
s: $i > $i > $i > $i > $i > $i > $o ).
thf(s2_decl,type,
s2: $i ).
thf(s1_decl,type,
s1: $i ).
thf(s0_decl,type,
s0: $i ).
thf(neq_decl,type,
neq: $i > $i > $o ).
thf(p1_0_decl,type,
p1_0: $i ).
thf(truck1_decl,type,
truck1: $i ).
thf(truck2_decl,type,
truck2: $i ).
thf(p2_1_decl,type,
p2_1: $i ).
thf(p2_0_decl,type,
p2_0: $i ).
thf(link_decl,type,
link: $i > $i > $o ).
thf(path_decl,type,
path: $i > $i > $o ).
thf(26,axiom,
p2_1 @ ( p1_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq48) ).
thf(138,plain,
p2_1 @ ( p1_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(100,axiom,
p2_1 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq40) ).
thf(234,plain,
p2_1 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(51,axiom,
~ ( s0 @ ( s0 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq19) ).
thf(170,plain,
~ ( s0 @ ( s0 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(7,axiom,
~ ( p2_1 @ ( p2_1 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq64) ).
thf(114,plain,
~ ( p2_1 @ ( p2_1 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(115,plain,
~ ( p2_1 @ ( p2_1 @ neq ) ),
inference(polarity_switch,[status(thm)],[114]) ).
thf(87,axiom,
p2_1 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq24) ).
thf(217,plain,
p2_1 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(11,axiom,
~ ( p1_0 @ ( p1_0 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq46) ).
thf(119,plain,
~ ( p1_0 @ ( p1_0 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(120,plain,
~ ( p1_0 @ ( p1_0 @ neq ) ),
inference(polarity_switch,[status(thm)],[119]) ).
thf(77,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( D @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) )
| ( E @ ( C @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',board2) ).
thf(202,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( D @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) )
| ( E @ ( C @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(30,axiom,
s0 @ ( truck2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq11) ).
thf(142,plain,
s0 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(39,axiom,
p1_0 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq22) ).
thf(153,plain,
p1_0 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(54,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( F @ ( D @ link ) )
| ~ ( E @ ( D @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive3) ).
thf(174,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( F @ ( D @ link ) )
| ~ ( E @ ( D @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(63,axiom,
s1 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq52) ).
thf(185,plain,
s1 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(62,axiom,
s1 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq36) ).
thf(184,plain,
s1 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(8,axiom,
truck1 @ ( truck2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq9) ).
thf(116,plain,
truck1 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(17,axiom,
~ ( truck1 @ ( truck1 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq1) ).
thf(126,plain,
~ ( truck1 @ ( truck1 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(127,plain,
~ ( truck1 @ ( truck1 @ neq ) ),
inference(polarity_switch,[status(thm)],[126]) ).
thf(334,plain,
( ( ( truck1 @ ( truck2 @ neq ) )
!= ( truck1 @ ( truck1 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[116,127]) ).
thf(335,plain,
( ( truck1 @ ( truck2 @ neq ) )
!= ( truck1 @ ( truck1 @ neq ) ) ),
inference(simp,[status(thm)],[334]) ).
thf(363,plain,
( ( truck1 != truck1 )
| ( truck2 != truck1 ) ),
inference(simp,[status(thm)],[335]) ).
thf(372,plain,
truck2 != truck1,
inference(simp,[status(thm)],[363]) ).
thf(3,axiom,
p1_0 @ ( truck2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq14) ).
thf(110,plain,
p1_0 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(16,axiom,
truck1 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq49) ).
thf(125,plain,
truck1 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(72,axiom,
p2_0 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq31) ).
thf(196,plain,
p2_0 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(66,axiom,
s0 @ ( s1 @ link ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map14) ).
thf(189,plain,
s0 @ ( s1 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(38,axiom,
s1 @ ( p1_0 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map2) ).
thf(152,plain,
s1 @ ( p1_0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(86,axiom,
s0 @ ( p1_0 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map4) ).
thf(216,plain,
s0 @ ( p1_0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(47,axiom,
s1 @ ( s2 @ link ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map18) ).
thf(164,plain,
s1 @ ( s2 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(58,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( E @ ( D @ ( C @ ( truck2 @ ( A @ s ) ) ) ) ) )
| ~ ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',load7) ).
thf(179,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( E @ ( D @ ( C @ ( truck2 @ ( A @ s ) ) ) ) ) )
| ~ ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(12,axiom,
p2_0 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq63) ).
thf(121,plain,
p2_0 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(34,axiom,
s1 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq60) ).
thf(147,plain,
s1 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(90,axiom,
p1_0 @ ( s1 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map1) ).
thf(221,plain,
p1_0 @ ( s1 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(21,axiom,
truck2 @ ( truck1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq2) ).
thf(132,plain,
truck2 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(22,axiom,
p2_0 @ ( p1_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq47) ).
thf(133,plain,
p2_0 @ ( p1_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(106,axiom,
p2_1 @ ( s2 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map9) ).
thf(243,plain,
p2_1 @ ( s2 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(99,axiom,
p2_0 @ ( s0 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).
thf(233,plain,
p2_0 @ ( s0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(9,axiom,
truck1 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq57) ).
thf(117,plain,
truck1 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(76,axiom,
s2 @ ( truck1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq5) ).
thf(201,plain,
s2 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(69,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( E @ ( D @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) )
| ( C @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',board4) ).
thf(192,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( E @ ( D @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) )
| ( C @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(25,axiom,
p2_1 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq56) ).
thf(137,plain,
p2_1 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(48,axiom,
p1_0 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq30) ).
thf(165,plain,
p1_0 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(96,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ ( D @ ( C @ ( truck1 @ ( A @ s ) ) ) ) ) )
| ( E @ ( B @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',load6) ).
thf(229,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ ( D @ ( C @ ( truck1 @ ( A @ s ) ) ) ) ) )
| ( E @ ( B @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(73,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( E @ ( D @ ( C @ ( truck2 @ ( A @ s ) ) ) ) ) )
| ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',load8) ).
thf(197,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( E @ ( D @ ( C @ ( truck2 @ ( A @ s ) ) ) ) ) )
| ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(92,axiom,
truck1 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq17) ).
thf(224,plain,
truck1 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(42,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( E @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',board8) ).
thf(156,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( E @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(65,axiom,
s2 @ ( s0 @ link ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map15) ).
thf(188,plain,
s2 @ ( s0 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(29,axiom,
s2 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq29) ).
thf(141,plain,
s2 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(83,axiom,
truck1 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq33) ).
thf(212,plain,
truck1 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(2,axiom,
truck1 @ ( p1_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq41) ).
thf(109,plain,
truck1 @ ( p1_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
p2_1 @ ( truck1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq8) ).
thf(111,plain,
p2_1 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(250,plain,
( ( ( p2_1 @ ( p2_1 @ neq ) )
!= ( p2_1 @ ( truck1 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[111,115]) ).
thf(251,plain,
( ( p2_1 @ ( p2_1 @ neq ) )
!= ( p2_1 @ ( truck1 @ neq ) ) ),
inference(simp,[status(thm)],[250]) ).
thf(255,plain,
( ( p2_1 != p2_1 )
| ( p2_1 != truck1 ) ),
inference(simp,[status(thm)],[251]) ).
thf(256,plain,
p2_1 != truck1,
inference(simp,[status(thm)],[255]) ).
thf(15,axiom,
truck2 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq50) ).
thf(124,plain,
truck2 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(93,axiom,
p2_0 @ ( s2 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map5) ).
thf(225,plain,
p2_0 @ ( s2 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(53,axiom,
s2 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq61) ).
thf(173,plain,
s2 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(19,axiom,
~ ( truck2 @ ( truck2 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq10) ).
thf(129,plain,
~ ( truck2 @ ( truck2 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(23,axiom,
truck2 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq58) ).
thf(134,plain,
truck2 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(79,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( G @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( G @ ( C @ path ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk1) ).
thf(205,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( G @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( G @ ( C @ path ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(13,axiom,
p1_0 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq62) ).
thf(122,plain,
p1_0 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(305,plain,
( ( ( p2_1 @ ( p2_1 @ neq ) )
!= ( p1_0 @ ( p2_1 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[122,115]) ).
thf(306,plain,
( ( p2_1 @ ( p2_1 @ neq ) )
!= ( p1_0 @ ( p2_1 @ neq ) ) ),
inference(simp,[status(thm)],[305]) ).
thf(309,plain,
( ( p2_1 != p1_0 )
| ( p2_1 != p2_1 ) ),
inference(simp,[status(thm)],[306]) ).
thf(311,plain,
p2_1 != p1_0,
inference(simp,[status(thm)],[309]) ).
thf(18,axiom,
p2_1 @ ( truck2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq16) ).
thf(128,plain,
p2_1 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(102,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( E @ ( D @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( truck2 @ ( D @ neq ) )
| ~ ( C @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',board3) ).
thf(237,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( E @ ( D @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( truck2 @ ( D @ neq ) )
| ~ ( C @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(130,plain,
~ ( truck2 @ ( truck2 @ neq ) ),
inference(polarity_switch,[status(thm)],[129]) ).
thf(401,plain,
( ( ( truck2 @ ( p2_0 @ neq ) )
!= ( truck2 @ ( truck2 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[124,130]) ).
thf(402,plain,
( ( truck2 @ ( p2_0 @ neq ) )
!= ( truck2 @ ( truck2 @ neq ) ) ),
inference(simp,[status(thm)],[401]) ).
thf(422,plain,
( ( truck2 != truck2 )
| ( p2_0 != truck2 ) ),
inference(simp,[status(thm)],[402]) ).
thf(430,plain,
p2_0 != truck2,
inference(simp,[status(thm)],[422]) ).
thf(49,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( F @ ( E @ link ) )
| ~ ( E @ ( D @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive4) ).
thf(166,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( F @ ( E @ link ) )
| ~ ( E @ ( D @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(35,axiom,
s1 @ ( truck2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq12) ).
thf(148,plain,
s1 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(45,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( C @ ( D @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( truck1 @ ( D @ neq ) )
| ~ ( E @ ( C @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',board1) ).
thf(161,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( C @ ( D @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( truck1 @ ( D @ neq ) )
| ~ ( E @ ( C @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(270,plain,
( ( ( p1_0 @ ( truck2 @ neq ) )
!= ( p1_0 @ ( p1_0 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[110,120]) ).
thf(271,plain,
( ( p1_0 @ ( truck2 @ neq ) )
!= ( p1_0 @ ( p1_0 @ neq ) ) ),
inference(simp,[status(thm)],[270]) ).
thf(290,plain,
( ( p1_0 != p1_0 )
| ( truck2 != p1_0 ) ),
inference(simp,[status(thm)],[271]) ).
thf(296,plain,
truck2 != p1_0,
inference(simp,[status(thm)],[290]) ).
thf(36,axiom,
~ ( s2 @ ( s2 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq37) ).
thf(149,plain,
~ ( s2 @ ( s2 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(55,axiom,
s0 @ ( truck1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq3) ).
thf(176,plain,
s0 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(68,axiom,
truck2 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq18) ).
thf(191,plain,
truck2 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(10,axiom,
p2_0 @ ( truck2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq15) ).
thf(118,plain,
p2_0 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(78,axiom,
s1 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq20) ).
thf(204,plain,
s1 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(32,axiom,
truck2 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq34) ).
thf(144,plain,
truck2 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(59,axiom,
s0 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq35) ).
thf(181,plain,
s0 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(44,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ ( truck2 @ s ) ) ) ) ) )
| ~ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',load3) ).
thf(159,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ ( truck2 @ s ) ) ) ) ) )
| ~ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(52,axiom,
p2_0 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq23) ).
thf(172,plain,
p2_0 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(6,axiom,
p1_0 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq54) ).
thf(113,plain,
p1_0 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(89,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( A @ ( D @ ( C @ ( B @ ( truck1 @ s ) ) ) ) ) )
| ( E @ ( A @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',load2) ).
thf(219,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( A @ ( D @ ( C @ ( B @ ( truck1 @ s ) ) ) ) ) )
| ( E @ ( A @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(81,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( G @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( G @ ( D @ path ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk2) ).
thf(208,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( G @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( G @ ( D @ path ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(28,axiom,
p1_0 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq38) ).
thf(140,plain,
p1_0 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(84,axiom,
s0 @ ( s2 @ link ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map16) ).
thf(213,plain,
s0 @ ( s2 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(104,axiom,
s2 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq53) ).
thf(240,plain,
s2 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(41,axiom,
s0 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq27) ).
thf(155,plain,
s0 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(1,negated_conjecture,
~ ( s0 @ ( s2 @ ( s2 @ ( s2 @ ( s1 @ ( s2 @ s ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(107,plain,
~ ( s0 @ ( s2 @ ( s2 @ ( s2 @ ( s1 @ ( s2 @ s ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(108,plain,
~ ( s0 @ ( s2 @ ( s2 @ ( s2 @ ( s1 @ ( s2 @ s ) ) ) ) ) ),
inference(polarity_switch,[status(thm)],[107]) ).
thf(24,axiom,
~ ( p2_0 @ ( p2_0 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq55) ).
thf(135,plain,
~ ( p2_0 @ ( p2_0 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(94,axiom,
s2 @ ( p2_0 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).
thf(226,plain,
s2 @ ( p2_0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(105,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( B @ ( D @ ( C @ ( truck1 @ ( A @ s ) ) ) ) ) )
| ~ ( E @ ( B @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',load5) ).
thf(241,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( B @ ( D @ ( C @ ( truck1 @ ( A @ s ) ) ) ) ) )
| ~ ( E @ ( B @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(5,axiom,
p1_0 @ ( truck1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq6) ).
thf(112,plain,
p1_0 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,axiom,
truck2 @ ( p1_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq42) ).
thf(123,plain,
truck2 @ ( p1_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(70,axiom,
s2 @ ( truck2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq13) ).
thf(194,plain,
s2 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(33,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ ( C @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( F @ ( D @ link ) )
| ~ ( E @ ( D @ ( C @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive1) ).
thf(145,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ ( C @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( F @ ( D @ link ) )
| ~ ( E @ ( D @ ( C @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(280,plain,
( ( ( p1_0 @ ( truck1 @ neq ) )
!= ( p1_0 @ ( p1_0 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[112,120]) ).
thf(281,plain,
( ( p1_0 @ ( truck1 @ neq ) )
!= ( p1_0 @ ( p1_0 @ neq ) ) ),
inference(simp,[status(thm)],[280]) ).
thf(289,plain,
( ( p1_0 != p1_0 )
| ( truck1 != p1_0 ) ),
inference(simp,[status(thm)],[281]) ).
thf(295,plain,
truck1 != p1_0,
inference(simp,[status(thm)],[289]) ).
thf(150,plain,
~ ( s2 @ ( s2 @ neq ) ),
inference(polarity_switch,[status(thm)],[149]) ).
thf(74,axiom,
s1 @ ( p2_1 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map12) ).
thf(199,plain,
s1 @ ( p2_1 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(56,axiom,
s0 @ ( p2_0 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map8) ).
thf(177,plain,
s0 @ ( p2_0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(60,axiom,
p2_1 @ ( s1 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map11) ).
thf(182,plain,
p2_1 @ ( s1 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(40,axiom,
s2 @ ( s0 @ ( s1 @ ( s0 @ ( s2 @ ( s2 @ s ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
thf(154,plain,
s2 @ ( s0 @ ( s1 @ ( s0 @ ( s2 @ ( s2 @ s ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(379,plain,
( ( ( p2_1 @ ( p2_1 @ neq ) )
!= ( p2_1 @ ( truck2 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[128,115]) ).
thf(380,plain,
( ( p2_1 @ ( p2_1 @ neq ) )
!= ( p2_1 @ ( truck2 @ neq ) ) ),
inference(simp,[status(thm)],[379]) ).
thf(384,plain,
( ( p2_1 != p2_1 )
| ( p2_1 != truck2 ) ),
inference(simp,[status(thm)],[380]) ).
thf(386,plain,
p2_1 != truck2,
inference(simp,[status(thm)],[384]) ).
thf(31,axiom,
s2 @ ( s1 @ link ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map17) ).
thf(143,plain,
s2 @ ( s1 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(97,axiom,
s0 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq51) ).
thf(231,plain,
s0 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(88,axiom,
s1 @ ( p1_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq44) ).
thf(218,plain,
s1 @ ( p1_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(298,plain,
( ( ( p2_0 @ ( p2_1 @ neq ) )
!= ( p2_1 @ ( p2_1 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[121,115]) ).
thf(299,plain,
( ( p2_0 @ ( p2_1 @ neq ) )
!= ( p2_1 @ ( p2_1 @ neq ) ) ),
inference(simp,[status(thm)],[298]) ).
thf(302,plain,
( ( p2_0 != p2_1 )
| ( p2_1 != p2_1 ) ),
inference(simp,[status(thm)],[299]) ).
thf(304,plain,
p2_0 != p2_1,
inference(simp,[status(thm)],[302]) ).
thf(43,axiom,
truck1 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq25) ).
thf(158,plain,
truck1 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(64,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( A @ ( D @ ( C @ ( B @ ( truck1 @ s ) ) ) ) ) )
| ~ ( E @ ( A @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',load1) ).
thf(186,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( A @ ( D @ ( C @ ( B @ ( truck1 @ s ) ) ) ) ) )
| ~ ( E @ ( A @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(27,axiom,
p2_1 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq32) ).
thf(139,plain,
p2_1 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(101,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( C @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( F @ ( E @ link ) )
| ~ ( E @ ( D @ ( C @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive2) ).
thf(235,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( C @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( F @ ( E @ link ) )
| ~ ( E @ ( D @ ( C @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(80,axiom,
s2 @ ( p2_1 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map10) ).
thf(207,plain,
s2 @ ( p2_1 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(85,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( truck2 @ ( C @ neq ) )
| ~ ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',board7) ).
thf(214,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( truck2 @ ( C @ neq ) )
| ~ ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(37,axiom,
p2_0 @ ( s2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq39) ).
thf(151,plain,
p2_0 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(50,axiom,
~ ( s1 @ ( s1 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq28) ).
thf(168,plain,
~ ( s1 @ ( s1 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(67,axiom,
s1 @ ( truck1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq4) ).
thf(190,plain,
s1 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(61,axiom,
truck2 @ ( s1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq26) ).
thf(183,plain,
truck2 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(344,plain,
( ( ( truck1 @ ( p2_0 @ neq ) )
!= ( truck1 @ ( truck1 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[125,127]) ).
thf(345,plain,
( ( truck1 @ ( p2_0 @ neq ) )
!= ( truck1 @ ( truck1 @ neq ) ) ),
inference(simp,[status(thm)],[344]) ).
thf(364,plain,
( ( truck1 != truck1 )
| ( p2_0 != truck1 ) ),
inference(simp,[status(thm)],[345]) ).
thf(373,plain,
p2_0 != truck1,
inference(simp,[status(thm)],[364]) ).
thf(82,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( D @ ( C @ ( B @ ( truck2 @ s ) ) ) ) ) )
| ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',load4) ).
thf(210,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( D @ ( C @ ( B @ ( truck2 @ s ) ) ) ) ) )
| ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(103,axiom,
p1_0 @ ( s0 @ path ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map3) ).
thf(239,plain,
p1_0 @ ( s0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(71,axiom,
s0 @ ( p1_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq43) ).
thf(195,plain,
s0 @ ( p1_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(278,plain,
( ( ( p1_0 @ ( p2_0 @ neq ) )
!= ( p1_0 @ ( p1_0 @ neq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[113,120]) ).
thf(279,plain,
( ( p1_0 @ ( p2_0 @ neq ) )
!= ( p1_0 @ ( p1_0 @ neq ) ) ),
inference(simp,[status(thm)],[278]) ).
thf(288,plain,
( ( p1_0 != p1_0 )
| ( p2_0 != p1_0 ) ),
inference(simp,[status(thm)],[279]) ).
thf(294,plain,
p2_0 != p1_0,
inference(simp,[status(thm)],[288]) ).
thf(136,plain,
~ ( p2_0 @ ( p2_0 @ neq ) ),
inference(polarity_switch,[status(thm)],[135]) ).
thf(20,axiom,
p2_0 @ ( truck1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq7) ).
thf(131,plain,
p2_0 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(57,axiom,
s1 @ ( s0 @ link ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map13) ).
thf(178,plain,
s1 @ ( s0 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(46,axiom,
s2 @ ( p1_0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq45) ).
thf(163,plain,
s2 @ ( p1_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(75,axiom,
s0 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq59) ).
thf(200,plain,
s0 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(95,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ( E @ ( D @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',board6) ).
thf(227,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ( E @ ( D @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(91,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( truck1 @ ( C @ neq ) )
| ~ ( E @ ( D @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',board5) ).
thf(222,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) )
| ~ ( truck1 @ ( C @ neq ) )
| ~ ( E @ ( D @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(98,axiom,
s2 @ ( s0 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq21) ).
thf(232,plain,
s2 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(18057,plain,
$false,
inference(e,[status(thm)],[138,234,170,115,217,120,202,142,153,174,185,184,372,110,125,196,189,152,216,164,179,121,147,221,132,133,116,243,233,117,201,192,137,165,229,197,224,156,188,141,212,109,256,124,225,173,129,134,205,311,128,237,430,166,148,161,296,149,176,191,118,204,144,181,159,172,113,219,208,140,213,240,155,108,130,135,226,241,112,123,194,145,295,150,199,127,177,182,154,386,143,231,218,304,158,186,114,139,119,235,207,214,151,168,190,183,373,210,107,239,195,294,126,136,131,178,163,200,111,227,122,222,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA031-1.001 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.08 % 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
% 0.13/0.45 % Computer : n026.cluster.edu
% 0.13/0.45 % Model : x86_64 x86_64
% 0.13/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.45 % Memory : 8046.5625MB
% 0.13/0.45 % OS : Linux 6.8.0-71-generic
% 0.13/0.45 % CPULimit : 300
% 0.13/0.45 % WCLimit : 300
% 0.13/0.45 % DateTime : Sat Sep 26 04:48:10 UTC 2026
% 0.13/0.46 % CPUTime :
% 0.13/0.46 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
% 0.91/1.28 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.53/1.61 % [INFO] Parsing done (322ms).
% 1.53/1.62 % [INFO] Running in sequential loop mode.
% 2.40/2.18 % [INFO] eprover registered as external prover.
% 2.40/2.19 % [INFO] Scanning for conjecture ...
% 2.60/2.33 % [INFO] Found a conjecture (or negated_conjecture) and 105 axioms. Running axiom selection ...
% 2.73/2.45 % [INFO] Axiom selection finished. Selected 105 axioms (removed 0 axioms).
% 3.03/2.60 % [INFO] Problem is propositional (TPTP CNF).
% 3.03/2.61 % [INFO] Type checking passed.
% 3.03/2.61 % [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 ...
% 50.75/18.64 % External prover 'e' found a proof!
% 50.75/18.64 % [INFO] Killing All external provers ...
% 50.75/18.65 % Time passed: 17967ms (effective reasoning time: 17017ms)
% 50.75/18.65 % Axioms used in derivation (105): neq25, neq50, map18, neq34, neq55, neq15, neq36, neq44, map7, drive4, neq61, neq10, map12, walk1, map4, neq26, neq59, neq21, map8, load4, neq32, neq19, board4, neq6, neq48, neq40, neq43, neq54, neq14, map9, board1, neq13, map13, neq7, neq62, neq28, neq51, neq39, neq3, neq17, neq24, load2, neq35, neq58, neq2, neq47, board5, load3, board2, map3, map17, board8, load7, walk2, load6, neq41, neq46, neq52, neq38, neq8, map14, neq27, neq57, map5, neq12, neq63, drive2, map10, neq56, neq16, neq23, neq4, neq30, neq1, load1, neq60, board7, neq53, neq20, neq37, load8, map16, map6, neq5, neq64, neq29, drive1, neq11, neq42, map2, map15, neq45, neq9, drive3, neq22, load5, init, map1, neq18, map11, neq49, board6, board3, neq31, neq33
% 50.75/18.66 % No. of inferences in proof: 260
% 50.75/18.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 17967 ms resp. 17017 ms w/o parsing
% 42.38/18.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 42.38/18.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------