%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 : Fri Sep 25 02:30:38 PM UTC 2026
% Result : Unsatisfiable 0.77s 1.16s
% Output : Proof 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 55 ( 47 unt; 0 def)
% Number of atoms : 67 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-4 aty)
% Number of variables : 59 ( 8 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f15,negated_conjecture,
~ at(desMoines,s(none),Time,Situation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_gat_get_there_with_bread) ).
fof(f15_nnf,plain,
! [Time,Situation] : ~ at(desMoines,s(none),Time,Situation),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [Time,Situation] : ~ at(desMoines,s(none),Time,Situation),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
~ at(desMoines,s(none),X0,X1),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(t11,plain,
eq(at(desMoines,s(none),X1,X2),true) = efalse,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t497,plain,
eq(at(desMoines,s(none),X1,X2),true) = efalse,
inference(orient,[status(thm)],[t11]) ).
cnf(f3,axiom,
( at(City,s(Loaves),s(Time),buy(Situation))
| ~ at(City,Loaves,Time,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',buy_in_city) ).
fof(f3_nnf,plain,
! [City,Loaves,Time,Situation] :
( at(City,s(Loaves),s(Time),buy(Situation))
| ~ at(City,Loaves,Time,Situation) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [City,Loaves,Time,Situation] :
( at(City,s(Loaves),s(Time),buy(Situation))
| ~ at(City,Loaves,Time,Situation) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( at(X0,s(X1),s(X2),buy(X3))
| ~ at(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,axiom,
ifeq(at(X0,X1,X2,X3),true,at(X0,s(X1),s(X2),buy(X3)),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(f14,hypothesis,
at(cheyenne,none,start,initial_situation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).
fof(f14_nnf,plain,
at(cheyenne,none,start,initial_situation),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
at(cheyenne,none,start,initial_situation),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(hi14,axiom,
at(cheyenne,none,start,initial_situation) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h0,plain,
at(cheyenne,s(none),s(start),buy(initial_situation)) = true,
inference(hyper_resolution,[status(thm)],[hi3,hi14]) ).
cnf(f0,axiom,
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive1) ).
fof(f0_nnf,plain,
! [FromCity,Loaves,Time,Situation,ToCity] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [FromCity,Loaves,Time,Situation,ToCity] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( at(X4,X1,s(s(X2)),drive(X4,X3))
| ~ next_to(X0,X4)
| ~ at(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(at(X0,X1,X2,X3),true,ifeq(next_to(X0,X4),true,at(X4,X1,s(s(X2)),drive(X4,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(f9,hypothesis,
next_to(cheyenne,northPlatte),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).
fof(f9_nnf,plain,
next_to(cheyenne,northPlatte),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
next_to(cheyenne,northPlatte),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi9,axiom,
next_to(cheyenne,northPlatte) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(h11,plain,
at(northPlatte,s(none),s(s(s(start))),drive(northPlatte,buy(initial_situation))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h0,hi9]) ).
cnf(f10,hypothesis,
next_to(northPlatte,grandIsland),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).
fof(f10_nnf,plain,
next_to(northPlatte,grandIsland),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
next_to(northPlatte,grandIsland),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(hi10,axiom,
next_to(northPlatte,grandIsland) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h59,plain,
at(grandIsland,s(none),s(s(s(s(s(start))))),drive(grandIsland,drive(northPlatte,buy(initial_situation)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h11,hi10]) ).
cnf(f11,hypothesis,
next_to(grandIsland,lincoln),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map8) ).
fof(f11_nnf,plain,
next_to(grandIsland,lincoln),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
next_to(grandIsland,lincoln),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi11,axiom,
next_to(grandIsland,lincoln) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h287,plain,
at(lincoln,s(none),s(s(s(s(s(s(s(start))))))),drive(lincoln,drive(grandIsland,drive(northPlatte,buy(initial_situation))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h59,hi11]) ).
cnf(f12,hypothesis,
next_to(lincoln,omaha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map9) ).
fof(f12_nnf,plain,
next_to(lincoln,omaha),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
next_to(lincoln,omaha),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,axiom,
next_to(lincoln,omaha) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h1355,plain,
at(omaha,s(none),s(s(s(s(s(s(s(s(s(start))))))))),drive(omaha,drive(lincoln,drive(grandIsland,drive(northPlatte,buy(initial_situation)))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h287,hi12]) ).
cnf(f13,hypothesis,
next_to(omaha,desMoines),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map10) ).
fof(f13_nnf,plain,
next_to(omaha,desMoines),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
next_to(omaha,desMoines),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(hi13,axiom,
next_to(omaha,desMoines) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t248,plain,
at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(start))))))))))),drive(desMoines,drive(omaha,drive(lincoln,drive(grandIsland,drive(northPlatte,buy(initial_situation))))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1355,hi13]) ).
cnf(t481,plain,
at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(start))))))))))),drive(desMoines,drive(omaha,drive(lincoln,drive(grandIsland,drive(northPlatte,buy(initial_situation))))))) = true,
inference(orient,[status(thm)],[t248]) ).
cnf(t498,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t497,t481]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t496,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t502,plain,
efalse = etrue,
inference(step,[status(thm)],[t498,t496]) ).
cnf(t499,plain,
efalse = etrue,
inference(orient,[status(thm)],[t502]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t499]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.53 % Computer : n020.cluster.edu
% 0.07/0.53 % Model : x86_64 x86_64
% 0.07/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.53 % Memory : 8046.5625MB
% 0.07/0.53 % OS : Linux 6.8.0-71-generic
% 0.07/0.53 % CPULimit : 300
% 0.07/0.53 % WCLimit : 300
% 0.07/0.53 % DateTime : Thu Sep 24 06:08:34 UTC 2026
% 0.07/0.53 % CPUTime :
% 0.07/0.53 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.77/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/1.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------