%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PLA031-1.004 : TPTP v9.3.1. Released v3.5.0.
% 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:19:58 AM UTC 2026
% Result : Unsatisfiable 23.65s 5.89s
% Output : Refutation 21.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 138
% Syntax : Number of formulae : 277 ( 203 unt; 0 typ; 0 def)
% Number of atoms : 393 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 2100 ( 136 ~; 116 |; 0 &;1848 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 10 con; 0-9 aty)
% Number of variables : 620 ( 0 ^; 620 !; 0 ?; 620 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_decl,type,
s: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(s0_decl,type,
s0: $i ).
thf(s1_decl,type,
s1: $i ).
thf(s2_decl,type,
s2: $i ).
thf(neq_decl,type,
neq: $i > $i > $o ).
thf(truck2_decl,type,
truck2: $i ).
thf(truck1_decl,type,
truck1: $i ).
thf(p1_2_decl,type,
p1_2: $i ).
thf(p0_1_decl,type,
p0_1: $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(86,axiom,
p2_1 @ ( s2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq45) ).
thf(249,plain,
p2_1 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(29,axiom,
truck2 @ ( truck1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).
thf(173,plain,
truck2 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(138,axiom,
s1 @ ( s2 @ link ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map17) ).
thf(323,plain,
s1 @ ( s2 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(27,axiom,
~ ( p2_1 @ ( p2_1 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq81) ).
thf(170,plain,
~ ( p2_1 @ ( p2_1 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(128,axiom,
p0_1 @ ( s0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq24) ).
thf(308,plain,
p0_1 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(84,axiom,
s0 @ ( s1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq30) ).
thf(247,plain,
s0 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(100,axiom,
p1_2 @ ( s0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq25) ).
thf(269,plain,
p1_2 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(62,axiom,
s1 @ ( s2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq40) ).
thf(217,plain,
s1 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(106,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( H @ ( G @ ( F @ ( E @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( D @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load15) ).
thf(276,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( H @ ( G @ ( F @ ( E @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( D @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(3,axiom,
p0_1 @ ( p1_2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq60) ).
thf(142,plain,
p0_1 @ ( p1_2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
truck2 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq74) ).
thf(153,plain,
truck2 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(30,axiom,
p1_2 @ ( p0_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq52) ).
thf(174,plain,
p1_2 @ ( p0_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(39,axiom,
s2 @ ( p1_2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq59) ).
thf(185,plain,
s2 @ ( p1_2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(115,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( truck1 @ s ) ) ) ) ) ) ) ) )
| ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load2) ).
thf(288,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( truck1 @ s ) ) ) ) ) ) ) ) )
| ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(123,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( C @ ( G @ ( F @ ( E @ ( D @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( C @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load10) ).
thf(301,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( C @ ( G @ ( F @ ( E @ ( D @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( C @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(92,axiom,
p1_2 @ ( s1 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map5) ).
thf(257,plain,
p1_2 @ ( s1 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(48,axiom,
s2 @ ( s0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq23) ).
thf(196,plain,
s2 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(16,axiom,
truck2 @ ( p0_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq47) ).
thf(157,plain,
truck2 @ ( p0_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(42,axiom,
s1 @ ( s0 @ ( s2 @ ( s2 @ ( s1 @ ( s0 @ ( s2 @ ( s0 @ ( s1 @ s ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
thf(189,plain,
s1 @ ( s0 @ ( s2 @ ( s2 @ ( s1 @ ( s0 @ ( s2 @ ( s0 @ ( s1 @ s ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(12,axiom,
p0_1 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq78) ).
thf(152,plain,
p0_1 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(71,axiom,
s1 @ ( p0_1 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map4) ).
thf(228,plain,
s1 @ ( p0_1 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(133,axiom,
s0 @ ( p0_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq48) ).
thf(316,plain,
s0 @ ( p0_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(95,axiom,
s2 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq68) ).
thf(261,plain,
s2 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(61,axiom,
p1_2 @ ( s1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq34) ).
thf(216,plain,
p1_2 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(22,axiom,
p2_0 @ ( p1_2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq62) ).
thf(164,plain,
p2_0 @ ( p1_2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(35,axiom,
p0_1 @ ( truck1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).
thf(179,plain,
p0_1 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(136,axiom,
p0_1 @ ( s1 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map3) ).
thf(321,plain,
p0_1 @ ( s1 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(78,axiom,
s0 @ ( truck1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).
thf(238,plain,
s0 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(57,axiom,
truck2 @ ( s0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq20) ).
thf(211,plain,
truck2 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(89,axiom,
s1 @ ( s0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq22) ).
thf(253,plain,
s1 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(8,axiom,
p1_2 @ ( truck1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).
thf(147,plain,
p1_2 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(109,axiom,
s0 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq66) ).
thf(280,plain,
s0 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(65,axiom,
truck2 @ ( s2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq38) ).
thf(221,plain,
truck2 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(118,axiom,
p2_0 @ ( s2 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map9) ).
thf(293,plain,
p2_0 @ ( s2 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(81,axiom,
s2 @ ( p0_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq50) ).
thf(243,plain,
s2 @ ( p0_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(98,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( J @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( J @ ( G @ path ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk3) ).
thf(265,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( J @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( J @ ( G @ path ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(75,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( H @ ( G @ ( F @ ( truck2 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck2 @ ( G @ neq ) )
| ~ ( truck2 @ ( F @ neq ) )
| ~ ( E @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board3) ).
thf(233,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( H @ ( G @ ( F @ ( truck2 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck2 @ ( G @ neq ) )
| ~ ( truck2 @ ( F @ neq ) )
| ~ ( E @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(85,axiom,
s0 @ ( s2 @ link ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map14) ).
thf(248,plain,
s0 @ ( s2 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(101,axiom,
s0 @ ( truck2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq12) ).
thf(270,plain,
s0 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(51,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( G @ ( F @ ( E @ ( truck2 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ link ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( truck2 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive2) ).
thf(201,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( G @ ( F @ ( E @ ( truck2 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ link ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( truck2 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(94,axiom,
s1 @ ( truck1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).
thf(260,plain,
s1 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(18,axiom,
p2_0 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq80) ).
thf(160,plain,
p2_0 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(45,axiom,
p2_0 @ ( s1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq35) ).
thf(192,plain,
p2_0 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(105,axiom,
s0 @ ( s1 @ link ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map15) ).
thf(275,plain,
s0 @ ( s1 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(23,axiom,
p2_1 @ ( truck2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq18) ).
thf(165,plain,
p2_1 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(72,axiom,
s2 @ ( s1 @ link ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map18) ).
thf(229,plain,
s2 @ ( s1 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(88,axiom,
p2_0 @ ( s0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq26) ).
thf(252,plain,
p2_0 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(49,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( truck1 @ s ) ) ) ) ) ) ) ) )
| ~ ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load1) ).
thf(197,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( truck1 @ s ) ) ) ) ) ) ) ) )
| ~ ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(112,axiom,
s0 @ ( p2_0 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map12) ).
thf(285,plain,
s0 @ ( p2_0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(67,axiom,
p0_1 @ ( s2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq42) ).
thf(224,plain,
p0_1 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(134,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( D @ ( G @ ( F @ ( E @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( H @ ( D @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load13) ).
thf(317,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( D @ ( G @ ( F @ ( E @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( H @ ( D @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(15,axiom,
p2_1 @ ( p1_2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq63) ).
thf(156,plain,
p2_1 @ ( p1_2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(41,axiom,
truck2 @ ( s1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq29) ).
thf(188,plain,
truck2 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(2,axiom,
truck1 @ ( truck2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq10) ).
thf(141,plain,
truck1 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(91,axiom,
p0_1 @ ( s1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq33) ).
thf(256,plain,
p0_1 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(68,axiom,
s2 @ ( s1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq32) ).
thf(225,plain,
s2 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(46,axiom,
~ ( s0 @ ( s0 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq21) ).
thf(193,plain,
~ ( s0 @ ( s0 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(58,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( F @ ( J @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( J @ ( E @ path ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk1) ).
thf(212,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( F @ ( J @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( J @ ( E @ path ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(77,axiom,
s0 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq75) ).
thf(237,plain,
s0 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(82,axiom,
p2_1 @ ( s1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq36) ).
thf(244,plain,
p2_1 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(54,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( G @ ( truck2 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ link ) )
| ~ ( H @ ( G @ ( truck2 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive6) ).
thf(205,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( G @ ( truck2 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ link ) )
| ~ ( H @ ( G @ ( truck2 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(130,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( J @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( J @ ( F @ path ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk2) ).
thf(311,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ ( G @ ( J @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( J @ ( F @ path ) )
| ~ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(121,axiom,
s2 @ ( p1_2 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map8) ).
thf(298,plain,
s2 @ ( p1_2 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(24,axiom,
truck1 @ ( p0_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq46) ).
thf(166,plain,
truck1 @ ( p0_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(9,axiom,
~ ( p2_0 @ ( p2_0 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq71) ).
thf(148,plain,
~ ( p2_0 @ ( p2_0 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(19,axiom,
p2_0 @ ( p0_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq53) ).
thf(161,plain,
p2_0 @ ( p0_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(108,axiom,
s2 @ ( truck1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq5) ).
thf(279,plain,
s2 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(36,axiom,
~ ( truck1 @ ( truck1 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq1) ).
thf(180,plain,
~ ( truck1 @ ( truck1 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(120,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( H @ ( G @ ( F @ ( E @ ( D @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( C @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load11) ).
thf(296,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( H @ ( G @ ( F @ ( E @ ( D @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( C @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(32,axiom,
p0_1 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq69) ).
thf(176,plain,
p0_1 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(44,axiom,
s0 @ ( p1_2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq57) ).
thf(191,plain,
s0 @ ( p1_2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(113,axiom,
s1 @ ( p1_2 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map6) ).
thf(286,plain,
s1 @ ( p1_2 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(117,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( truck2 @ s ) ) ) ) ) ) ) ) )
| ~ ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load3) ).
thf(291,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( truck2 @ s ) ) ) ) ) ) ) ) )
| ~ ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(110,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( truck1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( G @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board10) ).
thf(281,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( truck1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( G @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(53,axiom,
s0 @ ( p0_1 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map2) ).
thf(204,plain,
s0 @ ( p0_1 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(131,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( I @ ( truck1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( G @ link ) )
| ~ ( H @ ( G @ ( truck1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive5) ).
thf(313,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( I @ ( truck1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( G @ link ) )
| ~ ( H @ ( G @ ( truck1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(5,axiom,
truck2 @ ( p1_2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq56) ).
thf(144,plain,
truck2 @ ( p1_2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(28,axiom,
p0_1 @ ( truck2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq15) ).
thf(172,plain,
p0_1 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(64,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( F @ ( G @ ( truck1 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck1 @ ( G @ neq ) )
| ~ ( truck1 @ ( E @ neq ) )
| ~ ( H @ ( F @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board5) ).
thf(219,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( F @ ( G @ ( truck1 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck1 @ ( G @ neq ) )
| ~ ( truck1 @ ( E @ neq ) )
| ~ ( H @ ( F @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(104,axiom,
truck1 @ ( s0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq19) ).
thf(274,plain,
truck1 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(73,axiom,
s2 @ ( truck2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq14) ).
thf(230,plain,
s2 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(83,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( H @ ( truck2 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck2 @ ( F @ neq ) )
| ~ ( truck2 @ ( E @ neq ) )
| ~ ( G @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board11) ).
thf(245,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( H @ ( truck2 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck2 @ ( F @ neq ) )
| ~ ( truck2 @ ( E @ neq ) )
| ~ ( G @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(124,axiom,
p1_2 @ ( s2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq43) ).
thf(303,plain,
p1_2 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(102,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( truck2 @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( B @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load7) ).
thf(271,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( truck2 @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( B @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(107,axiom,
s0 @ ( s2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq39) ).
thf(278,plain,
s0 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(127,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( I @ ( F @ ( E @ ( truck1 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( G @ link ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( truck1 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive1) ).
thf(306,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( I @ ( F @ ( E @ ( truck1 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( G @ link ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( truck1 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(122,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( E @ ( G @ ( F @ ( truck1 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck1 @ ( G @ neq ) )
| ~ ( truck1 @ ( F @ neq ) )
| ~ ( H @ ( E @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board1) ).
thf(299,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( E @ ( G @ ( F @ ( truck1 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck1 @ ( G @ neq ) )
| ~ ( truck1 @ ( F @ neq ) )
| ~ ( H @ ( E @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(69,axiom,
s1 @ ( p0_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq49) ).
thf(226,plain,
s1 @ ( p0_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(99,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( truck2 @ s ) ) ) ) ) ) ) ) )
| ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load4) ).
thf(267,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( truck2 @ s ) ) ) ) ) ) ) ) )
| ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(80,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( H @ ( truck2 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( G @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board12) ).
thf(241,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( H @ ( truck2 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( G @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(25,axiom,
truck1 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq64) ).
thf(167,plain,
truck1 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,axiom,
truck1 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq73) ).
thf(162,plain,
truck1 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(56,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( truck1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck1 @ ( F @ neq ) )
| ~ ( truck1 @ ( E @ neq ) )
| ~ ( H @ ( G @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board9) ).
thf(209,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( G @ ( truck1 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck1 @ ( F @ neq ) )
| ~ ( truck1 @ ( E @ neq ) )
| ~ ( H @ ( G @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(6,axiom,
p2_0 @ ( truck2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq17) ).
thf(145,plain,
p2_0 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
p1_2 @ ( truck2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq16) ).
thf(150,plain,
p1_2 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(97,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( B @ ( G @ ( F @ ( E @ ( D @ ( C @ ( truck1 @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( B @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load6) ).
thf(263,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( B @ ( G @ ( F @ ( E @ ( D @ ( C @ ( truck1 @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( B @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(50,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( B @ ( G @ ( F @ ( E @ ( D @ ( C @ ( truck1 @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( H @ ( B @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load5) ).
thf(199,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( B @ ( G @ ( F @ ( E @ ( D @ ( C @ ( truck1 @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( H @ ( B @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(33,axiom,
p1_2 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq70) ).
thf(177,plain,
p1_2 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(37,axiom,
truck2 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq65) ).
thf(182,plain,
truck2 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(14,axiom,
~ ( p1_2 @ ( p1_2 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq61) ).
thf(154,plain,
~ ( p1_2 @ ( p1_2 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(31,axiom,
p2_1 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq72) ).
thf(175,plain,
p2_1 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(4,axiom,
p1_2 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq79) ).
thf(143,plain,
p1_2 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(52,axiom,
s1 @ ( p2_0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq67) ).
thf(203,plain,
s1 @ ( p2_0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(63,axiom,
s2 @ ( p2_0 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map10) ).
thf(218,plain,
s2 @ ( p2_0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(87,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( I @ ( F @ ( truck1 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( G @ link ) )
| ~ ( H @ ( G @ ( F @ ( truck1 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive3) ).
thf(250,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( I @ ( F @ ( truck1 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( G @ link ) )
| ~ ( H @ ( G @ ( F @ ( truck1 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(74,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( E @ ( G @ ( F @ ( truck1 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( E @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board2) ).
thf(231,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( E @ ( G @ ( F @ ( truck1 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( E @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(135,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( H @ ( G @ ( F @ ( E @ ( D @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( C @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load12) ).
thf(319,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( H @ ( G @ ( F @ ( E @ ( D @ ( truck2 @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( C @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(125,axiom,
s1 @ ( truck2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq13) ).
thf(304,plain,
s1 @ ( truck2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(93,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( D @ ( G @ ( F @ ( E @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( D @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load14) ).
thf(258,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( D @ ( G @ ( F @ ( E @ ( truck1 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( D @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(17,axiom,
~ ( p0_1 @ ( p0_1 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq51) ).
thf(158,plain,
~ ( p0_1 @ ( p0_1 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(40,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( G @ ( F @ ( truck2 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ link ) )
| ~ ( H @ ( G @ ( F @ ( truck2 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive4) ).
thf(186,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( G @ ( F @ ( truck2 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( I @ ( H @ link ) )
| ~ ( H @ ( G @ ( F @ ( truck2 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
~ ( s1 @ ( s0 @ ( B @ ( A @ ( s2 @ ( s2 @ ( s1 @ ( s0 @ ( s0 @ s ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(139,plain,
! [B: $i,A: $i] :
~ ( s1 @ ( s0 @ ( B @ ( A @ ( s2 @ ( s2 @ ( s1 @ ( s0 @ ( s0 @ s ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(116,axiom,
s1 @ ( p1_2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq58) ).
thf(290,plain,
s1 @ ( p1_2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(76,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( F @ ( G @ ( truck1 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( F @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board6) ).
thf(235,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( F @ ( G @ ( truck1 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( H @ ( F @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(55,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( C @ ( G @ ( F @ ( E @ ( D @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( H @ ( C @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load9) ).
thf(207,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( C @ ( G @ ( F @ ( E @ ( D @ ( truck1 @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( H @ ( C @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(59,axiom,
p2_0 @ ( s2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq44) ).
thf(214,plain,
p2_0 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(114,axiom,
truck1 @ ( s1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq28) ).
thf(287,plain,
truck1 @ ( s1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(11,axiom,
p2_0 @ ( truck1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).
thf(151,plain,
p2_0 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(132,axiom,
s2 @ ( s0 @ link ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map13) ).
thf(315,plain,
s2 @ ( s0 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(7,axiom,
p2_1 @ ( p0_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq54) ).
thf(146,plain,
p2_1 @ ( p0_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(43,axiom,
p2_0 @ ( s0 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map11) ).
thf(190,plain,
p2_0 @ ( s0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(38,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( H @ ( G @ ( truck2 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck2 @ ( G @ neq ) )
| ~ ( truck2 @ ( E @ neq ) )
| ~ ( F @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board7) ).
thf(183,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( H @ ( G @ ( truck2 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ~ ( truck2 @ ( G @ neq ) )
| ~ ( truck2 @ ( E @ neq ) )
| ~ ( F @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(103,axiom,
p2_1 @ ( s0 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq27) ).
thf(273,plain,
p2_1 @ ( s0 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(26,axiom,
~ ( truck2 @ ( truck2 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq11) ).
thf(168,plain,
~ ( truck2 @ ( truck2 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(96,axiom,
p0_1 @ ( s0 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map1) ).
thf(262,plain,
p0_1 @ ( s0 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(126,axiom,
s1 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq76) ).
thf(305,plain,
s1 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(79,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( H @ ( G @ ( F @ ( truck2 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( E @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board4) ).
thf(239,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( H @ ( G @ ( F @ ( truck2 @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( E @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(119,axiom,
~ ( s2 @ ( s2 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq41) ).
thf(294,plain,
~ ( s2 @ ( s2 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(47,axiom,
s2 @ ( p2_1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq77) ).
thf(195,plain,
s2 @ ( p2_1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(111,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( H @ ( G @ ( truck2 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( F @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board8) ).
thf(283,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( H @ ( G @ ( truck2 @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( F @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(21,axiom,
p2_1 @ ( truck1 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq9) ).
thf(163,plain,
p2_1 @ ( truck1 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(34,axiom,
truck1 @ ( p1_2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq55) ).
thf(178,plain,
truck1 @ ( p1_2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(137,axiom,
p1_2 @ ( s2 @ path ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map7) ).
thf(322,plain,
p1_2 @ ( s2 @ path ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(129,axiom,
~ ( s1 @ ( s1 @ neq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq31) ).
thf(309,plain,
~ ( s1 @ ( s1 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(60,axiom,
truck1 @ ( s2 @ neq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq37) ).
thf(215,plain,
truck1 @ ( s2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(66,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( truck2 @ ( A @ s ) ) ) ) ) ) ) ) )
| ( B @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load8) ).
thf(222,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( truck2 @ ( A @ s ) ) ) ) ) ) ) ) )
| ( B @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(90,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( H @ ( G @ ( F @ ( E @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( D @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load16) ).
thf(254,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( H @ ( G @ ( F @ ( E @ ( truck2 @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) )
| ( D @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(70,axiom,
s1 @ ( s0 @ link ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map16) ).
thf(227,plain,
s1 @ ( s0 @ link ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(3875,plain,
$false,
inference(e,[status(thm)],[249,173,323,170,308,247,269,217,276,142,153,174,185,288,301,257,196,157,189,152,228,316,261,216,164,179,321,238,211,253,147,280,221,293,243,265,233,248,270,201,260,160,192,275,165,229,252,197,285,224,317,156,188,141,256,225,193,212,237,244,205,311,298,166,148,161,279,180,296,176,191,286,291,281,204,313,144,172,219,274,230,245,303,271,278,306,299,226,267,241,167,162,209,145,150,263,199,177,182,154,175,143,203,218,250,231,319,304,258,158,186,139,290,235,207,214,287,151,315,146,190,183,273,168,262,305,239,294,195,283,163,178,322,309,215,222,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA031-1.004 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.08 % 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
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 04:45:06 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 0.87/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.46/1.23 % [INFO] Parsing done (246ms).
% 1.46/1.24 % [INFO] Running in sequential loop mode.
% 2.23/1.63 % [INFO] eprover registered as external prover.
% 2.23/1.64 % [INFO] Scanning for conjecture ...
% 2.42/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 137 axioms. Running axiom selection ...
% 2.61/1.85 % [INFO] Axiom selection finished. Selected 137 axioms (removed 0 axioms).
% 2.86/1.94 % [INFO] Problem is propositional (TPTP CNF).
% 2.86/1.95 % [INFO] Type checking passed.
% 2.86/1.95 % [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 ...
% 23.65/5.88 % External prover 'e' found a proof!
% 23.65/5.88 % [INFO] Killing All external provers ...
% 23.65/5.89 % Time passed: 5342ms (effective reasoning time: 4634ms)
% 23.65/5.89 % Axioms used in derivation (137): neq25, map18, neq71, neq70, neq55, neq15, neq36, neq44, neq69, load10, map7, neq79, drive4, neq61, neq10, load9, neq68, neq50, map12, walk1, map4, neq26, neq59, neq21, map8, load4, neq73, neq32, neq65, board4, neq6, neq48, neq19, board10, neq40, neq43, neq54, neq14, drive5, map9, board1, neq76, neq13, map13, neq7, board11, neq28, neq51, load14, neq39, neq62, load13, neq3, neq17, neq24, load2, board9, neq35, neq58, neq66, neq2, neq72, neq47, board5, neq77, load3, board2, drive6, board12, map3, map17, board8, load7, load15, load12, walk2, load6, neq41, neq46, neq52, neq38, neq8, map14, neq27, neq57, map5, neq63, drive2, neq12, neq81, neq75, neq34, map10, neq56, neq16, neq23, neq4, neq30, neq1, load1, load11, neq60, neq80, board7, neq53, load16, neq20, neq37, walk3, load8, map16, map6, neq5, neq64, neq29, neq67, neq78, drive1, neq11, neq42, map2, map15, neq45, neq9, drive3, neq22, load5, init, map1, neq18, map11, neq49, neq74, board6, board3, neq31, neq33
% 23.65/5.89 % No. of inferences in proof: 277
% 23.65/5.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5342 ms resp. 4634 ms w/o parsing
% 21.75/6.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 21.75/6.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------