%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n004.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 08:19:52 AM UTC 2026
% Result : Unsatisfiable 54.09s 27.72s
% Output : Refutation 54.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 94 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 252 ( 78 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 963 ( 136 ~; 94 |; 0 &; 733 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 16 con; 0-4 aty)
% Number of variables : 186 ( 0 ^; 186 !; 0 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
thf(at_decl,type,
at: $i > $i > $i > $i > $o ).
thf(desMoines_decl,type,
desMoines: $i ).
thf(s_decl,type,
s: $i > $i ).
thf(none_decl,type,
none: $i ).
thf(next_to_decl,type,
next_to: $i > $i > $o ).
thf(lincoln_decl,type,
lincoln: $i ).
thf(omaha_decl,type,
omaha: $i ).
thf(saltLakeCity_decl,type,
saltLakeCity: $i ).
thf(rockSprings_decl,type,
rockSprings: $i ).
thf(northPlatte_decl,type,
northPlatte: $i ).
thf(grandIsland_decl,type,
grandIsland: $i ).
thf(laramie_decl,type,
laramie: $i ).
thf(winnemucca_decl,type,
winnemucca: $i ).
thf(elko_decl,type,
elko: $i ).
thf(cheyenne_decl,type,
cheyenne: $i ).
thf(wait_at_decl,type,
wait_at: $i > $i ).
thf(buy_decl,type,
buy: $i > $i ).
thf(start_decl,type,
start: $i ).
thf(initial_situation_decl,type,
initial_situation: $i ).
thf(drive_decl,type,
drive: $i > $i > $i ).
thf(3,axiom,
rockSprings @ ( saltLakeCity @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map3) ).
thf(20,plain,
rockSprings @ ( saltLakeCity @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ drive ) @ ( C @ s @ s @ ( B @ ( E @ at ) ) ) )
| ~ ( A @ ( E @ next_to ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive2) ).
thf(34,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ drive ) @ ( C @ s @ s @ ( B @ ( E @ at ) ) ) )
| ~ ( A @ ( E @ next_to ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(35,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ drive ) @ ( C @ s @ s @ ( B @ ( E @ at ) ) ) )
| ~ ( A @ ( E @ next_to ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(cnf,[status(esa)],[34]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
~ ( B @ ( A @ ( none @ s @ ( desMoines @ at ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_gat_get_there_with_bread) ).
thf(17,plain,
! [B: $i,A: $i] :
~ ( B @ ( A @ ( none @ s @ ( desMoines @ at ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(18,plain,
! [B: $i,A: $i] :
~ ( B @ ( A @ ( none @ s @ ( desMoines @ at ) ) ) ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(50,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( E @ drive ) @ ( C @ s @ s @ ( B @ ( E @ at ) ) ) )
!= ( G @ ( F @ ( none @ s @ ( desMoines @ at ) ) ) ) )
| ~ $true
| ~ ( A @ ( E @ next_to ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[35,18]) ).
thf(51,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( E @ drive ) @ ( C @ s @ s @ ( B @ ( E @ at ) ) ) )
!= ( G @ ( F @ ( none @ s @ ( desMoines @ at ) ) ) ) )
| ~ ( A @ ( E @ next_to ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[50]) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( desMoines @ next_to ) )
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(pattern_uni,[status(thm)],[51:[bind(A,$thf( A )),bind(B,$thf( none @ s )),bind(C,$thf( J )),bind(D,$thf( L )),bind(E,$thf( desMoines )),bind(F,$thf( J @ s @ s )),bind(G,$thf( L @ ( desMoines @ drive ) ))]]) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( desMoines @ next_to ) )
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[52]) ).
thf(77,plain,
! [C: $i,B: $i,A: $i] :
( ( ( rockSprings @ ( saltLakeCity @ next_to ) )
!= ( A @ ( desMoines @ next_to ) ) )
| ~ $true
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[20,57]) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ( ( rockSprings @ ( saltLakeCity @ next_to ) )
!= ( A @ ( desMoines @ next_to ) ) )
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[77]) ).
thf(80,plain,
! [C: $i,B: $i,A: $i] :
( ( rockSprings != A )
| ( saltLakeCity != desMoines )
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[78]) ).
thf(84,plain,
! [B: $i,A: $i] :
( ( saltLakeCity != desMoines )
| ~ ( B @ ( A @ ( none @ s @ ( rockSprings @ at ) ) ) ) ),
inference(simp,[status(thm)],[80]) ).
thf(6,axiom,
elko @ ( winnemucca @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map1) ).
thf(23,plain,
elko @ ( winnemucca @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ( ( elko @ ( winnemucca @ next_to ) )
!= ( A @ ( desMoines @ next_to ) ) )
| ~ $true
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[23,57]) ).
thf(74,plain,
! [C: $i,B: $i,A: $i] :
( ( ( elko @ ( winnemucca @ next_to ) )
!= ( A @ ( desMoines @ next_to ) ) )
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[73]) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ( elko != A )
| ( winnemucca != desMoines )
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[74]) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( winnemucca != desMoines )
| ~ ( B @ ( A @ ( none @ s @ ( elko @ at ) ) ) ) ),
inference(simp,[status(thm)],[81]) ).
thf(9,axiom,
cheyenne @ ( laramie @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map5) ).
thf(26,plain,
cheyenne @ ( laramie @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).
thf(33,plain,
initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(13,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ buy @ ( C @ s @ ( B @ s @ ( A @ at ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',buy_in_city) ).
thf(31,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ buy @ ( C @ s @ ( B @ s @ ( A @ at ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(32,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ buy @ ( C @ s @ ( B @ s @ ( A @ at ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(cnf,[status(esa)],[31]) ).
thf(397,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ buy @ ( C @ s @ ( B @ s @ ( A @ at ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,32]) ).
thf(398,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ buy @ ( C @ s @ ( B @ s @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[397]) ).
thf(399,plain,
initial_situation @ buy @ ( start @ s @ ( none @ s @ ( cheyenne @ at ) ) ),
inference(pattern_uni,[status(thm)],[398:[bind(A,$thf( cheyenne )),bind(B,$thf( none )),bind(C,$thf( start )),bind(D,$thf( initial_situation ))]]) ).
thf(431,plain,
! [C: $i,B: $i,A: $i] :
( ( ( initial_situation @ buy @ ( start @ s @ ( none @ s @ ( cheyenne @ at ) ) ) )
!= ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) )
| ~ ( A @ ( desMoines @ next_to ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[399,57]) ).
thf(432,plain,
! [C: $i,B: $i,A: $i] :
( ( ( initial_situation @ buy @ ( start @ s @ ( none @ s @ ( cheyenne @ at ) ) ) )
!= ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) )
| ~ ( A @ ( desMoines @ next_to ) ) ),
inference(simp,[status(thm)],[431]) ).
thf(433,plain,
~ ( cheyenne @ ( desMoines @ next_to ) ),
inference(pattern_uni,[status(thm)],[432:[bind(A,$thf( cheyenne )),bind(B,$thf( start @ s )),bind(C,$thf( initial_situation @ buy ))]]) ).
thf(466,plain,
( ( ( cheyenne @ ( laramie @ next_to ) )
!= ( cheyenne @ ( desMoines @ next_to ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26,433]) ).
thf(467,plain,
( ( cheyenne @ ( laramie @ next_to ) )
!= ( cheyenne @ ( desMoines @ next_to ) ) ),
inference(simp,[status(thm)],[466]) ).
thf(482,plain,
( ( cheyenne != cheyenne )
| ( laramie != desMoines ) ),
inference(simp,[status(thm)],[467]) ).
thf(484,plain,
laramie != desMoines,
inference(simp,[status(thm)],[482]) ).
thf(2,axiom,
omaha @ ( lincoln @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map9) ).
thf(19,plain,
omaha @ ( lincoln @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ( ( omaha @ ( lincoln @ next_to ) )
!= ( A @ ( desMoines @ next_to ) ) )
| ~ $true
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,57]) ).
thf(76,plain,
! [C: $i,B: $i,A: $i] :
( ( ( omaha @ ( lincoln @ next_to ) )
!= ( A @ ( desMoines @ next_to ) ) )
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[75]) ).
thf(82,plain,
! [C: $i,B: $i,A: $i] :
( ( omaha != A )
| ( lincoln != desMoines )
| ~ ( C @ ( B @ ( none @ s @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[76]) ).
thf(86,plain,
! [B: $i,A: $i] :
( ( lincoln != desMoines )
| ~ ( B @ ( A @ ( none @ s @ ( omaha @ at ) ) ) ) ),
inference(simp,[status(thm)],[82]) ).
thf(427,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ buy @ ( start @ s @ ( none @ s @ ( cheyenne @ at ) ) ) )
!= ( B @ ( A @ ( none @ s @ ( omaha @ at ) ) ) ) )
| ( lincoln != desMoines )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[399,86]) ).
thf(428,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ buy @ ( start @ s @ ( none @ s @ ( cheyenne @ at ) ) ) )
!= ( B @ ( A @ ( none @ s @ ( omaha @ at ) ) ) ) )
| ( lincoln != desMoines ) ),
inference(simp,[status(thm)],[427]) ).
thf(445,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ buy )
!= B )
| ( ( start @ s )
!= A )
| ( ( none @ s )
!= ( none @ s ) )
| ( cheyenne != omaha )
| ( lincoln != desMoines ) ),
inference(simp,[status(thm)],[428]) ).
thf(451,plain,
( ( cheyenne != omaha )
| ( lincoln != desMoines ) ),
inference(simp,[status(thm)],[445]) ).
thf(11,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wait_in_city) ).
thf(28,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(29,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(cnf,[status(esa)],[28]) ).
thf(221,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,29]) ).
thf(222,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[221]) ).
thf(223,plain,
initial_situation @ wait_at @ ( start @ s @ ( none @ ( cheyenne @ at ) ) ),
inference(pattern_uni,[status(thm)],[222:[bind(A,$thf( cheyenne )),bind(B,$thf( none )),bind(C,$thf( start )),bind(D,$thf( initial_situation ))]]) ).
thf(240,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ wait_at @ ( start @ s @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[223,29]) ).
thf(241,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ wait_at @ ( start @ s @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[240]) ).
thf(242,plain,
initial_situation @ wait_at @ wait_at @ ( start @ s @ s @ ( none @ ( cheyenne @ at ) ) ),
inference(pattern_uni,[status(thm)],[241:[bind(A,$thf( cheyenne )),bind(B,$thf( none )),bind(C,$thf( start @ s )),bind(D,$thf( initial_situation @ wait_at ))]]) ).
thf(267,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ wait_at @ wait_at @ ( start @ s @ s @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[242,29]) ).
thf(268,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ wait_at @ wait_at @ ( start @ s @ s @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[267]) ).
thf(269,plain,
initial_situation @ wait_at @ wait_at @ wait_at @ ( start @ s @ s @ s @ ( none @ ( cheyenne @ at ) ) ),
inference(pattern_uni,[status(thm)],[268:[bind(A,$thf( cheyenne )),bind(B,$thf( none )),bind(C,$thf( start @ s @ s )),bind(D,$thf( initial_situation @ wait_at @ wait_at ))]]) ).
thf(294,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ wait_at @ wait_at @ wait_at @ ( start @ s @ s @ s @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[269,29]) ).
thf(295,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ wait_at @ wait_at @ wait_at @ ( start @ s @ s @ s @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[294]) ).
thf(296,plain,
initial_situation @ wait_at @ wait_at @ wait_at @ wait_at @ ( start @ s @ s @ s @ s @ ( none @ ( cheyenne @ at ) ) ),
inference(pattern_uni,[status(thm)],[295:[bind(A,$thf( cheyenne )),bind(B,$thf( none )),bind(C,$thf( start @ s @ s @ s )),bind(D,$thf( initial_situation @ wait_at @ wait_at @ wait_at ))]]) ).
thf(321,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ wait_at @ wait_at @ wait_at @ wait_at @ ( start @ s @ s @ s @ s @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[296,29]) ).
thf(322,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( initial_situation @ wait_at @ wait_at @ wait_at @ wait_at @ ( start @ s @ s @ s @ s @ ( none @ ( cheyenne @ at ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ at ) ) ) ) )
| ( D @ wait_at @ ( C @ s @ ( B @ ( A @ at ) ) ) ) ),
inference(simp,[status(thm)],[321]) ).
thf(323,plain,
initial_situation @ wait_at @ wait_at @ wait_at @ wait_at @ wait_at @ ( start @ s @ s @ s @ s @ s @ ( none @ ( cheyenne @ at ) ) ),
inference(pattern_uni,[status(thm)],[322:[bind(A,$thf( cheyenne )),bind(B,$thf( none )),bind(C,$thf( start @ s @ s @ s @ s )),bind(D,$thf( initial_situation @ wait_at @ wait_at @ wait_at @ wait_at ))]]) ).
thf(144,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ) )
!= ( B @ ( A @ ( none @ s @ ( elko @ at ) ) ) ) )
| ( winnemucca != desMoines )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,85]) ).
thf(145,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ) )
!= ( B @ ( A @ ( none @ s @ ( elko @ at ) ) ) ) )
| ( winnemucca != desMoines ) ),
inference(simp,[status(thm)],[144]) ).
thf(157,plain,
! [B: $i,A: $i] :
( ( initial_situation != B )
| ( start != A )
| ( ( none @ s )
!= none )
| ( cheyenne != elko )
| ( winnemucca != desMoines ) ),
inference(simp,[status(thm)],[145]) ).
thf(163,plain,
( ( ( none @ s )
!= none )
| ( cheyenne != elko )
| ( winnemucca != desMoines ) ),
inference(simp,[status(thm)],[157]) ).
thf(429,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ buy @ ( start @ s @ ( none @ s @ ( cheyenne @ at ) ) ) )
!= ( B @ ( A @ ( none @ s @ ( desMoines @ at ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[399,18]) ).
thf(430,plain,
! [B: $i,A: $i] :
( ( initial_situation @ buy @ ( start @ s @ ( none @ s @ ( cheyenne @ at ) ) ) )
!= ( B @ ( A @ ( none @ s @ ( desMoines @ at ) ) ) ) ),
inference(simp,[status(thm)],[429]) ).
thf(448,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ buy )
!= B )
| ( ( start @ s )
!= A )
| ( ( none @ s )
!= ( none @ s ) )
| ( cheyenne != desMoines ) ),
inference(simp,[status(thm)],[430]) ).
thf(449,plain,
cheyenne != desMoines,
inference(simp,[status(thm)],[448]) ).
thf(7,axiom,
lincoln @ ( grandIsland @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map8) ).
thf(24,plain,
lincoln @ ( grandIsland @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
northPlatte @ ( cheyenne @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).
thf(25,plain,
northPlatte @ ( cheyenne @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
grandIsland @ ( northPlatte @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).
thf(21,plain,
grandIsland @ ( northPlatte @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(142,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ) )
!= ( B @ ( A @ ( none @ s @ ( rockSprings @ at ) ) ) ) )
| ( saltLakeCity != desMoines )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33,84]) ).
thf(143,plain,
! [B: $i,A: $i] :
( ( ( initial_situation @ ( start @ ( none @ ( cheyenne @ at ) ) ) )
!= ( B @ ( A @ ( none @ s @ ( rockSprings @ at ) ) ) ) )
| ( saltLakeCity != desMoines ) ),
inference(simp,[status(thm)],[142]) ).
thf(159,plain,
! [B: $i,A: $i] :
( ( initial_situation != B )
| ( start != A )
| ( ( none @ s )
!= none )
| ( cheyenne != rockSprings )
| ( saltLakeCity != desMoines ) ),
inference(simp,[status(thm)],[143]) ).
thf(165,plain,
( ( ( none @ s )
!= none )
| ( cheyenne != rockSprings )
| ( saltLakeCity != desMoines ) ),
inference(simp,[status(thm)],[159]) ).
thf(5,axiom,
laramie @ ( rockSprings @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map4) ).
thf(22,plain,
laramie @ ( rockSprings @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
saltLakeCity @ ( elko @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map2) ).
thf(27,plain,
saltLakeCity @ ( elko @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ drive ) @ ( C @ s @ s @ ( B @ ( E @ at ) ) ) )
| ~ ( E @ ( A @ next_to ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive1) ).
thf(36,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ drive ) @ ( C @ s @ s @ ( B @ ( E @ at ) ) ) )
| ~ ( E @ ( A @ next_to ) )
| ~ ( D @ ( C @ ( B @ ( A @ at ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(12,axiom,
desMoines @ ( omaha @ next_to ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map10) ).
thf(30,plain,
desMoines @ ( omaha @ next_to ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(13555,plain,
$false,
inference(e,[status(thm)],[84,85,484,86,451,323,18,31,433,242,163,449,269,24,25,20,57,29,28,21,165,33,296,17,32,34,22,27,399,223,35,26,23,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % 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
% 0.14/15.62 % Computer : n004.cluster.edu
% 0.14/15.62 % Model : x86_64 x86_64
% 0.14/15.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.62 % Memory : 8046.5625MB
% 0.14/15.62 % OS : Linux 6.8.0-71-generic
% 0.14/15.63 % CPULimit : 300
% 0.14/15.63 % WCLimit : 300
% 0.14/15.63 % DateTime : Sat Sep 26 04:42:22 UTC 2026
% 0.14/15.63 % CPUTime :
% 0.14/15.63 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
% 1.00/16.21 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.38/16.40 % [INFO] Parsing done (183ms).
% 1.38/16.41 % [INFO] Running in sequential loop mode.
% 2.00/16.82 % [INFO] eprover registered as external prover.
% 2.00/16.83 % [INFO] Scanning for conjecture ...
% 2.19/16.92 % [INFO] Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ...
% 2.19/17.00 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 2.19/17.02 % [INFO] Problem is propositional (TPTP CNF).
% 2.19/17.02 % [INFO] Type checking passed.
% 2.19/17.03 % [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 ...
% 54.09/27.72 % External prover 'e' found a proof!
% 54.09/27.72 % [INFO] Killing All external provers ...
% 54.09/27.72 % Time passed: 11948ms (effective reasoning time: 11301ms)
% 54.09/27.72 % Axioms used in derivation (15): map7, map8, map9, map3, map10, map6, map1, map4, initial, drive2, map5, wait_in_city, buy_in_city, drive1, map2
% 54.09/27.72 % No. of inferences in proof: 94
% 54.09/27.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 11948 ms resp. 11301 ms w/o parsing
% 54.09/27.79 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 54.09/27.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------