%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 : Thu Sep 24 01:58:29 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 21 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 26 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [FromCity,Loaves,Time,Situation,ToCity] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [City,Loaves,Time,Situation] :
( at(City,s(Loaves),s(Time),buy(Situation))
| ~ at(City,Loaves,Time,Situation) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
next_to(cheyenne,northPlatte),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
next_to(northPlatte,grandIsland),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
next_to(grandIsland,lincoln),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
next_to(lincoln,omaha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
next_to(omaha,desMoines),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
at(cheyenne,none,start,initial_situation),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [Time,Situation] : ~ at(desMoines,s(none),Time,Situation),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [Loaves,Time,Situation,ToCity] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ! [FromCity] :
( ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] :
( at(X4,X1,s(s(X2)),drive(X4,X3))
| ~ next_to(X0,X4)
| ~ at(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( at(X0,s(X1),s(X2),buy(X3))
| ~ at(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
next_to(cheyenne,northPlatte),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
next_to(northPlatte,grandIsland),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
next_to(grandIsland,lincoln),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
next_to(lincoln,omaha),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
next_to(omaha,desMoines),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f33,plain,
at(cheyenne,none,start,initial_situation),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f34,plain,
! [X0,X1] : ~ at(desMoines,s(none),X0,X1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f35,plain,
! [X0,X1] : ~ at(desMoines,none,X0,X1),
inference(resolution,[status(thm)],[f34,f22]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ next_to(X0,desMoines)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[status(thm)],[f35,f18]) ).
fof(f43,plain,
! [X0,X1] : ~ at(omaha,none,X0,X1),
inference(resolution,[status(thm)],[f40,f32]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ next_to(X0,omaha)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[status(thm)],[f43,f18]) ).
fof(f54,plain,
! [X0,X1] : ~ at(lincoln,none,X0,X1),
inference(resolution,[status(thm)],[f45,f31]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ next_to(X0,lincoln)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[status(thm)],[f54,f18]) ).
fof(f65,plain,
! [X0,X1] : ~ at(grandIsland,none,X0,X1),
inference(resolution,[status(thm)],[f56,f30]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ next_to(X0,grandIsland)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[status(thm)],[f65,f18]) ).
fof(f76,plain,
! [X0,X1] : ~ at(northPlatte,none,X0,X1),
inference(resolution,[status(thm)],[f67,f29]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ next_to(X0,northPlatte)
| ~ at(X0,none,X1,X2) ),
inference(resolution,[status(thm)],[f76,f18]) ).
fof(f87,plain,
! [X0,X1] : ~ at(cheyenne,none,X0,X1),
inference(resolution,[status(thm)],[f78,f28]) ).
fof(f89,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f33,f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % Computer : n005.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Mon Sep 21 03:31:03 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 % Drodi V4.1.1
% 0.19/0.43 % Refutation found
% 0.19/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.46 % Elapsed time: 0.059731 seconds
% 0.19/0.46 % CPU time: 0.125392 seconds
% 0.19/0.46 % Total memory used: 17.443 MB
% 0.19/0.46 % Net memory used: 17.395 MB
%------------------------------------------------------------------------------