%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:30:39 PM UTC 2026
% Result : Unsatisfiable 3.89s 11.20s
% Output : Proof 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 31 unt; 0 def)
% Number of atoms : 79 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 54 ( 30 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-4 aty)
% Number of variables : 125 ( 26 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f10,negated_conjecture,
~ can(monkey(Somewhere,Some_height,the_bananas),Ladder,What),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_monkey_can_get_the_bananas) ).
fof(f10_nnf,plain,
! [Somewhere,Some_height,Ladder,What] : ~ can(monkey(Somewhere,Some_height,the_bananas),Ladder,What),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [Somewhere,Some_height,Ladder,What] : ~ can(monkey(Somewhere,Some_height,the_bananas),Ladder,What),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
~ can(monkey(X0,X1,the_bananas),X2,X3),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(t2,plain,
eq(can(monkey(X1,X2,the_bananas),X3,X4),true) = efalse,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t40,plain,
eq(can(monkey(X1,X2,the_bananas),X3,X4),true) = efalse,
inference(orient,[status(thm)],[t2]) ).
cnf(f4,axiom,
( ~ can(monkey(Location1,floor,nothing),Ladder,Bananas)
| can(monkey(Location2,floor,nothing),Ladder,Bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',go_holding_nothing) ).
fof(f4_nnf,plain,
! [Location2,Ladder,Bananas,Location1] :
( ~ can(monkey(Location1,floor,nothing),Ladder,Bananas)
| can(monkey(Location2,floor,nothing),Ladder,Bananas) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Location2,Ladder,Bananas,Location1] :
( ~ can(monkey(Location1,floor,nothing),Ladder,Bananas)
| can(monkey(Location2,floor,nothing),Ladder,Bananas) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ can(monkey(X3,floor,nothing),X1,X2)
| can(monkey(X0,floor,nothing),X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,axiom,
ifeq(can(monkey(X0,floor,nothing),X1,X2),true,can(monkey(X3,floor,nothing),X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(f9,hypothesis,
can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_situation) ).
fof(f9_nnf,plain,
can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi9,axiom,
can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(h0,plain,
can(monkey(V0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi9]) ).
cnf(f8,axiom,
( ~ can(monkey(Location,Height,nothing),ladder(Location,Height),Bananas)
| can(monkey(Location,Height,the_ladder),ladder(Location,Height),Bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grab_ladder) ).
fof(f8_nnf,plain,
! [Location,Height,Bananas] :
( ~ can(monkey(Location,Height,nothing),ladder(Location,Height),Bananas)
| can(monkey(Location,Height,the_ladder),ladder(Location,Height),Bananas) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [Location,Height,Bananas] :
( ~ can(monkey(Location,Height,nothing),ladder(Location,Height),Bananas)
| can(monkey(Location,Height,the_ladder),ladder(Location,Height),Bananas) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ can(monkey(X0,X1,nothing),ladder(X0,X1),X2)
| can(monkey(X0,X1,the_ladder),ladder(X0,X1),X2) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi8,axiom,
ifeq(can(monkey(X0,X1,nothing),ladder(X0,X1),X2),true,can(monkey(X0,X1,the_ladder),ladder(X0,X1),X2),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h1,plain,
can(monkey(l1,floor,the_ladder),ladder(l1,floor),bananas(l2,ceiling)) = true,
inference(hyper_resolution,[status(thm)],[hi8,h0]) ).
cnf(f2,axiom,
( ~ can(monkey(Location1,floor,the_ladder),ladder(Location1,floor),Bananas)
| can(monkey(Location2,floor,the_ladder),ladder(Location2,floor),Bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',go_holding_ladder) ).
fof(f2_nnf,plain,
! [Location2,Bananas,Location1] :
( ~ can(monkey(Location1,floor,the_ladder),ladder(Location1,floor),Bananas)
| can(monkey(Location2,floor,the_ladder),ladder(Location2,floor),Bananas) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Location2,Bananas,Location1] :
( ~ can(monkey(Location1,floor,the_ladder),ladder(Location1,floor),Bananas)
| can(monkey(Location2,floor,the_ladder),ladder(Location2,floor),Bananas) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ can(monkey(X2,floor,the_ladder),ladder(X2,floor),X1)
| can(monkey(X0,floor,the_ladder),ladder(X0,floor),X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
ifeq(can(monkey(X0,floor,the_ladder),ladder(X0,floor),X1),true,can(monkey(X2,floor,the_ladder),ladder(X2,floor),X1),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h4,plain,
can(monkey(V0,floor,the_ladder),ladder(V0,floor),bananas(l2,ceiling)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h1]) ).
cnf(f5,axiom,
( ~ can(monkey(Location,Height,the_ladder),ladder(Location,Any_height),Bananas)
| can(monkey(Location,Height,nothing),ladder(Location,floor),Bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drop_ladder) ).
fof(f5_nnf,plain,
! [Location,Height,Bananas,Any_height] :
( ~ can(monkey(Location,Height,the_ladder),ladder(Location,Any_height),Bananas)
| can(monkey(Location,Height,nothing),ladder(Location,floor),Bananas) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Location,Height,Bananas,Any_height] :
( ~ can(monkey(Location,Height,the_ladder),ladder(Location,Any_height),Bananas)
| can(monkey(Location,Height,nothing),ladder(Location,floor),Bananas) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ can(monkey(X0,X1,the_ladder),ladder(X0,X3),X2)
| can(monkey(X0,X1,nothing),ladder(X0,floor),X2) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi5,axiom,
ifeq(can(monkey(X0,X1,the_ladder),ladder(X0,X2),X3),true,can(monkey(X0,X1,nothing),ladder(X0,floor),X3),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(h5,plain,
can(monkey(V0,floor,nothing),ladder(V0,floor),bananas(l2,ceiling)) = true,
inference(hyper_resolution,[status(thm)],[hi5,h4]) ).
cnf(f0,axiom,
( ~ can(monkey(Location1,floor,nothing),ladder(Location1,floor),Bananas)
| can(monkey(Location1,ceiling,nothing),ladder(Location1,floor),Bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',climb_up) ).
fof(f0_nnf,plain,
! [Location1,Bananas] :
( ~ can(monkey(Location1,floor,nothing),ladder(Location1,floor),Bananas)
| can(monkey(Location1,ceiling,nothing),ladder(Location1,floor),Bananas) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [Location1,Bananas] :
( ~ can(monkey(Location1,floor,nothing),ladder(Location1,floor),Bananas)
| can(monkey(Location1,ceiling,nothing),ladder(Location1,floor),Bananas) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ can(monkey(X0,floor,nothing),ladder(X0,floor),X1)
| can(monkey(X0,ceiling,nothing),ladder(X0,floor),X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(can(monkey(X0,floor,nothing),ladder(X0,floor),X1),true,can(monkey(X0,ceiling,nothing),ladder(X0,floor),X1),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h7,plain,
can(monkey(V0,ceiling,nothing),ladder(V0,floor),bananas(l2,ceiling)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h5]) ).
cnf(f7,axiom,
( ~ can(monkey(Location,Height,nothing),Ladder,bananas(Location,Height))
| can(monkey(Location,Height,the_bananas),Ladder,bananas(Location,Height)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grab_bananas) ).
fof(f7_nnf,plain,
! [Location,Height,Ladder] :
( ~ can(monkey(Location,Height,nothing),Ladder,bananas(Location,Height))
| can(monkey(Location,Height,the_bananas),Ladder,bananas(Location,Height)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Location,Height,Ladder] :
( ~ can(monkey(Location,Height,nothing),Ladder,bananas(Location,Height))
| can(monkey(Location,Height,the_bananas),Ladder,bananas(Location,Height)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ can(monkey(X0,X1,nothing),X2,bananas(X0,X1))
| can(monkey(X0,X1,the_bananas),X2,bananas(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi7,axiom,
ifeq(can(monkey(X0,X1,nothing),X2,bananas(X0,X1)),true,can(monkey(X0,X1,the_bananas),X2,bananas(X0,X1)),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t12,plain,
can(monkey(l2,ceiling,the_bananas),ladder(l2,floor),bananas(l2,ceiling)) = true,
inference(hyper_resolution,[status(thm)],[hi7,h7]) ).
cnf(t26,plain,
can(monkey(l2,ceiling,the_bananas),ladder(l2,floor),bananas(l2,ceiling)) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t41,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t40,t26]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t39,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t45,plain,
efalse = etrue,
inference(step,[status(thm)],[t41,t39]) ).
cnf(t42,plain,
efalse = etrue,
inference(orient,[status(thm)],[t45]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t42]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/10.38 % Computer : n004.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Thu Sep 24 06:07:46 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.12/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.89/11.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/11.20 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------