%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Wed Oct 7 10:36:16 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 64 unt; 0 typ; 0 def)
% Number of atoms : 355 ( 96 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 1338 ( 72 ~; 72 |; 0 &;1194 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 252 ( 0 ^; 252 !; 0 ?; 252 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_bananas,type,
bananas: $i > $i > $i ).
thf(tp_can,type,
can: $i > $i > $i > $o ).
thf(tp_ceiling,type,
ceiling: $i ).
thf(tp_floor,type,
floor: $i ).
thf(tp_l0,type,
l0: $i ).
thf(tp_l1,type,
l1: $i ).
thf(tp_l2,type,
l2: $i ).
thf(tp_ladder,type,
ladder: $i > $i > $i ).
thf(tp_monkey,type,
monkey: $i > $i > $i > $i ).
thf(tp_nothing,type,
nothing: $i ).
thf(tp_the_bananas,type,
the_bananas: $i ).
thf(tp_the_ladder,type,
the_ladder: $i ).
thf(1,axiom,
! [Location: $i,Height: $i,Bananas: $i] :
( ( can @ ( monkey @ Location @ Height @ the_ladder ) @ ( ladder @ Location @ Height ) @ Bananas )
| ~ ( can @ ( monkey @ Location @ Height @ nothing ) @ ( ladder @ Location @ Height ) @ Bananas ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grab_ladder) ).
thf(2,axiom,
! [Location: $i,Height: $i,Ladder: $i] :
( ( can @ ( monkey @ Location @ Height @ the_bananas ) @ Ladder @ ( bananas @ Location @ Height ) )
| ~ ( can @ ( monkey @ Location @ Height @ nothing ) @ Ladder @ ( bananas @ Location @ Height ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grab_bananas) ).
thf(3,axiom,
! [Location: $i,Height: $i,Ladder: $i] :
( ( can @ ( monkey @ Location @ Height @ nothing ) @ Ladder @ ( bananas @ Location @ floor ) )
| ~ ( can @ ( monkey @ Location @ Height @ the_bananas ) @ Ladder @ ( bananas @ Location @ Height ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drop_bananas) ).
thf(4,axiom,
! [Location: $i,Height: $i,Bananas: $i,Any_height: $i] :
( ( can @ ( monkey @ Location @ Height @ nothing ) @ ( ladder @ Location @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location @ Height @ the_ladder ) @ ( ladder @ Location @ Any_height ) @ Bananas ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drop_ladder) ).
thf(5,axiom,
! [Location2: $i,Ladder: $i,Bananas: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ nothing ) @ Ladder @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ nothing ) @ Ladder @ Bananas ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_holding_nothing) ).
thf(6,axiom,
! [Location2: $i,Ladder: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ the_bananas ) @ Ladder @ ( bananas @ Location2 @ floor ) )
| ~ ( can @ ( monkey @ Location1 @ floor @ the_bananas ) @ Ladder @ ( bananas @ Location1 @ floor ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_holding_bananas) ).
thf(7,axiom,
! [Location2: $i,Bananas: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ the_ladder ) @ ( ladder @ Location2 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ the_ladder ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_holding_ladder) ).
thf(8,axiom,
! [Location1: $i,Bananas: $i] :
( ( can @ ( monkey @ Location1 @ floor @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ ceiling @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_down) ).
thf(9,axiom,
! [Location1: $i,Bananas: $i] :
( ( can @ ( monkey @ Location1 @ ceiling @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_up) ).
thf(10,axiom,
can @ ( monkey @ l0 @ floor @ nothing ) @ ( ladder @ l1 @ floor ) @ ( bananas @ l2 @ ceiling ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_situation) ).
thf(11,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(12,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,negated_conjecture,
! [Somewhere: $i,Some_height: $i,Ladder: $i,What: $i] :
~ ( can @ ( monkey @ Somewhere @ Some_height @ the_bananas ) @ Ladder @ What ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_monkey_can_get_the_bananas) ).
thf(14,plain,
$false = $false,
inference(unfold_def,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [Location: $i,Height: $i,Bananas: $i] :
( ( can @ ( monkey @ Location @ Height @ the_ladder ) @ ( ladder @ Location @ Height ) @ Bananas )
| ~ ( can @ ( monkey @ Location @ Height @ nothing ) @ ( ladder @ Location @ Height ) @ Bananas ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( ! [Location: $i,Height: $i,Ladder: $i] :
( ( can @ ( monkey @ Location @ Height @ the_bananas ) @ Ladder @ ( bananas @ Location @ Height ) )
| ~ ( can @ ( monkey @ Location @ Height @ nothing ) @ Ladder @ ( bananas @ Location @ Height ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( ! [Location: $i,Height: $i,Ladder: $i] :
( ( can @ ( monkey @ Location @ Height @ nothing ) @ Ladder @ ( bananas @ Location @ floor ) )
| ~ ( can @ ( monkey @ Location @ Height @ the_bananas ) @ Ladder @ ( bananas @ Location @ Height ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [Location: $i,Height: $i,Bananas: $i,Any_height: $i] :
( ( can @ ( monkey @ Location @ Height @ nothing ) @ ( ladder @ Location @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location @ Height @ the_ladder ) @ ( ladder @ Location @ Any_height ) @ Bananas ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ! [Location2: $i,Ladder: $i,Bananas: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ nothing ) @ Ladder @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ nothing ) @ Ladder @ Bananas ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [Location2: $i,Ladder: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ the_bananas ) @ Ladder @ ( bananas @ Location2 @ floor ) )
| ~ ( can @ ( monkey @ Location1 @ floor @ the_bananas ) @ Ladder @ ( bananas @ Location1 @ floor ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( ! [Location2: $i,Bananas: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ the_ladder ) @ ( ladder @ Location2 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ the_ladder ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( ! [Location1: $i,Bananas: $i] :
( ( can @ ( monkey @ Location1 @ floor @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ ceiling @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(23,plain,
( ( ! [Location1: $i,Bananas: $i] :
( ( can @ ( monkey @ Location1 @ ceiling @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(24,plain,
( ( can @ ( monkey @ l0 @ floor @ nothing ) @ ( ladder @ l1 @ floor ) @ ( bananas @ l2 @ ceiling ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(25,plain,
( ( ! [Somewhere: $i,Some_height: $i,Ladder: $i,What: $i] :
~ ( can @ ( monkey @ Somewhere @ Some_height @ the_bananas ) @ Ladder @ What ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(26,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(27,plain,
( ( ! [Somewhere: $i,Some_height: $i,Ladder: $i,What: $i] :
~ ( can @ ( monkey @ Somewhere @ Some_height @ the_bananas ) @ Ladder @ What ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(28,plain,
( ( can @ ( monkey @ l0 @ floor @ nothing ) @ ( ladder @ l1 @ floor ) @ ( bananas @ l2 @ ceiling ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(29,plain,
( ( ! [Location1: $i,Bananas: $i] :
( ( can @ ( monkey @ Location1 @ ceiling @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(30,plain,
( ( ! [Location1: $i,Bananas: $i] :
( ( can @ ( monkey @ Location1 @ floor @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ ceiling @ nothing ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(31,plain,
( ( ! [Location2: $i,Bananas: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ the_ladder ) @ ( ladder @ Location2 @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ the_ladder ) @ ( ladder @ Location1 @ floor ) @ Bananas ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(32,plain,
( ( ! [Location2: $i,Ladder: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ the_bananas ) @ Ladder @ ( bananas @ Location2 @ floor ) )
| ~ ( can @ ( monkey @ Location1 @ floor @ the_bananas ) @ Ladder @ ( bananas @ Location1 @ floor ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(33,plain,
( ( ! [Location2: $i,Ladder: $i,Bananas: $i,Location1: $i] :
( ( can @ ( monkey @ Location2 @ floor @ nothing ) @ Ladder @ Bananas )
| ~ ( can @ ( monkey @ Location1 @ floor @ nothing ) @ Ladder @ Bananas ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(34,plain,
( ( ! [Location: $i,Height: $i,Bananas: $i,Any_height: $i] :
( ( can @ ( monkey @ Location @ Height @ nothing ) @ ( ladder @ Location @ floor ) @ Bananas )
| ~ ( can @ ( monkey @ Location @ Height @ the_ladder ) @ ( ladder @ Location @ Any_height ) @ Bananas ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(35,plain,
( ( ! [Location: $i,Height: $i,Ladder: $i] :
( ( can @ ( monkey @ Location @ Height @ nothing ) @ Ladder @ ( bananas @ Location @ floor ) )
| ~ ( can @ ( monkey @ Location @ Height @ the_bananas ) @ Ladder @ ( bananas @ Location @ Height ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(36,plain,
( ( ! [Location: $i,Height: $i,Ladder: $i] :
( ( can @ ( monkey @ Location @ Height @ the_bananas ) @ Ladder @ ( bananas @ Location @ Height ) )
| ~ ( can @ ( monkey @ Location @ Height @ nothing ) @ Ladder @ ( bananas @ Location @ Height ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(37,plain,
( ( ! [Location: $i,Height: $i,Bananas: $i] :
( ( can @ ( monkey @ Location @ Height @ the_ladder ) @ ( ladder @ Location @ Height ) @ Bananas )
| ~ ( can @ ( monkey @ Location @ Height @ nothing ) @ ( ladder @ Location @ Height ) @ Bananas ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(38,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[26]) ).
thf(39,plain,
! [SV1: $i] :
( ( ! [SY31: $i,SY32: $i,SY33: $i] :
~ ( can @ ( monkey @ SV1 @ SY31 @ the_bananas ) @ SY32 @ SY33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(40,plain,
! [SV2: $i] :
( ( ! [SY34: $i] :
( ( can @ ( monkey @ SV2 @ ceiling @ nothing ) @ ( ladder @ SV2 @ floor ) @ SY34 )
| ~ ( can @ ( monkey @ SV2 @ floor @ nothing ) @ ( ladder @ SV2 @ floor ) @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(41,plain,
! [SV3: $i] :
( ( ! [SY35: $i] :
( ( can @ ( monkey @ SV3 @ floor @ nothing ) @ ( ladder @ SV3 @ floor ) @ SY35 )
| ~ ( can @ ( monkey @ SV3 @ ceiling @ nothing ) @ ( ladder @ SV3 @ floor ) @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(42,plain,
! [SV4: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ( can @ ( monkey @ SV4 @ floor @ the_ladder ) @ ( ladder @ SV4 @ floor ) @ SY36 )
| ~ ( can @ ( monkey @ SY37 @ floor @ the_ladder ) @ ( ladder @ SY37 @ floor ) @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(43,plain,
! [SV5: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ( can @ ( monkey @ SV5 @ floor @ the_bananas ) @ SY38 @ ( bananas @ SV5 @ floor ) )
| ~ ( can @ ( monkey @ SY39 @ floor @ the_bananas ) @ SY38 @ ( bananas @ SY39 @ floor ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(44,plain,
! [SV6: $i] :
( ( ! [SY40: $i,SY41: $i,SY42: $i] :
( ( can @ ( monkey @ SV6 @ floor @ nothing ) @ SY40 @ SY41 )
| ~ ( can @ ( monkey @ SY42 @ floor @ nothing ) @ SY40 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(45,plain,
! [SV7: $i] :
( ( ! [SY43: $i,SY44: $i,SY45: $i] :
( ( can @ ( monkey @ SV7 @ SY43 @ nothing ) @ ( ladder @ SV7 @ floor ) @ SY44 )
| ~ ( can @ ( monkey @ SV7 @ SY43 @ the_ladder ) @ ( ladder @ SV7 @ SY45 ) @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(46,plain,
! [SV8: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ( can @ ( monkey @ SV8 @ SY46 @ nothing ) @ SY47 @ ( bananas @ SV8 @ floor ) )
| ~ ( can @ ( monkey @ SV8 @ SY46 @ the_bananas ) @ SY47 @ ( bananas @ SV8 @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(47,plain,
! [SV9: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ( can @ ( monkey @ SV9 @ SY48 @ the_bananas ) @ SY49 @ ( bananas @ SV9 @ SY48 ) )
| ~ ( can @ ( monkey @ SV9 @ SY48 @ nothing ) @ SY49 @ ( bananas @ SV9 @ SY48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(48,plain,
! [SV10: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ( can @ ( monkey @ SV10 @ SY50 @ the_ladder ) @ ( ladder @ SV10 @ SY50 ) @ SY51 )
| ~ ( can @ ( monkey @ SV10 @ SY50 @ nothing ) @ ( ladder @ SV10 @ SY50 ) @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(49,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(50,plain,
! [SV11: $i,SV1: $i] :
( ( ! [SY52: $i,SY53: $i] :
~ ( can @ ( monkey @ SV1 @ SV11 @ the_bananas ) @ SY52 @ SY53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(51,plain,
! [SV12: $i,SV2: $i] :
( ( ( can @ ( monkey @ SV2 @ ceiling @ nothing ) @ ( ladder @ SV2 @ floor ) @ SV12 )
| ~ ( can @ ( monkey @ SV2 @ floor @ nothing ) @ ( ladder @ SV2 @ floor ) @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(52,plain,
! [SV13: $i,SV3: $i] :
( ( ( can @ ( monkey @ SV3 @ floor @ nothing ) @ ( ladder @ SV3 @ floor ) @ SV13 )
| ~ ( can @ ( monkey @ SV3 @ ceiling @ nothing ) @ ( ladder @ SV3 @ floor ) @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(53,plain,
! [SV14: $i,SV4: $i] :
( ( ! [SY54: $i] :
( ( can @ ( monkey @ SV4 @ floor @ the_ladder ) @ ( ladder @ SV4 @ floor ) @ SV14 )
| ~ ( can @ ( monkey @ SY54 @ floor @ the_ladder ) @ ( ladder @ SY54 @ floor ) @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(54,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY55: $i] :
( ( can @ ( monkey @ SV5 @ floor @ the_bananas ) @ SV15 @ ( bananas @ SV5 @ floor ) )
| ~ ( can @ ( monkey @ SY55 @ floor @ the_bananas ) @ SV15 @ ( bananas @ SY55 @ floor ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(55,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ( can @ ( monkey @ SV6 @ floor @ nothing ) @ SV16 @ SY56 )
| ~ ( can @ ( monkey @ SY57 @ floor @ nothing ) @ SV16 @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(56,plain,
! [SV17: $i,SV7: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ( can @ ( monkey @ SV7 @ SV17 @ nothing ) @ ( ladder @ SV7 @ floor ) @ SY58 )
| ~ ( can @ ( monkey @ SV7 @ SV17 @ the_ladder ) @ ( ladder @ SV7 @ SY59 ) @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(57,plain,
! [SV18: $i,SV8: $i] :
( ( ! [SY60: $i] :
( ( can @ ( monkey @ SV8 @ SV18 @ nothing ) @ SY60 @ ( bananas @ SV8 @ floor ) )
| ~ ( can @ ( monkey @ SV8 @ SV18 @ the_bananas ) @ SY60 @ ( bananas @ SV8 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(58,plain,
! [SV19: $i,SV9: $i] :
( ( ! [SY61: $i] :
( ( can @ ( monkey @ SV9 @ SV19 @ the_bananas ) @ SY61 @ ( bananas @ SV9 @ SV19 ) )
| ~ ( can @ ( monkey @ SV9 @ SV19 @ nothing ) @ SY61 @ ( bananas @ SV9 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(59,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY62: $i] :
( ( can @ ( monkey @ SV10 @ SV20 @ the_ladder ) @ ( ladder @ SV10 @ SV20 ) @ SY62 )
| ~ ( can @ ( monkey @ SV10 @ SV20 @ nothing ) @ ( ladder @ SV10 @ SV20 ) @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(60,plain,
! [SV21: $i,SV11: $i,SV1: $i] :
( ( ! [SY63: $i] :
~ ( can @ ( monkey @ SV1 @ SV11 @ the_bananas ) @ SV21 @ SY63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(61,plain,
! [SV12: $i,SV2: $i] :
( ( ( can @ ( monkey @ SV2 @ ceiling @ nothing ) @ ( ladder @ SV2 @ floor ) @ SV12 )
= $true )
| ( ( ~ ( can @ ( monkey @ SV2 @ floor @ nothing ) @ ( ladder @ SV2 @ floor ) @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV13: $i,SV3: $i] :
( ( ( can @ ( monkey @ SV3 @ floor @ nothing ) @ ( ladder @ SV3 @ floor ) @ SV13 )
= $true )
| ( ( ~ ( can @ ( monkey @ SV3 @ ceiling @ nothing ) @ ( ladder @ SV3 @ floor ) @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(63,plain,
! [SV22: $i,SV14: $i,SV4: $i] :
( ( ( can @ ( monkey @ SV4 @ floor @ the_ladder ) @ ( ladder @ SV4 @ floor ) @ SV14 )
| ~ ( can @ ( monkey @ SV22 @ floor @ the_ladder ) @ ( ladder @ SV22 @ floor ) @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(64,plain,
! [SV23: $i,SV15: $i,SV5: $i] :
( ( ( can @ ( monkey @ SV5 @ floor @ the_bananas ) @ SV15 @ ( bananas @ SV5 @ floor ) )
| ~ ( can @ ( monkey @ SV23 @ floor @ the_bananas ) @ SV15 @ ( bananas @ SV23 @ floor ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(65,plain,
! [SV24: $i,SV16: $i,SV6: $i] :
( ( ! [SY64: $i] :
( ( can @ ( monkey @ SV6 @ floor @ nothing ) @ SV16 @ SV24 )
| ~ ( can @ ( monkey @ SY64 @ floor @ nothing ) @ SV16 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(66,plain,
! [SV25: $i,SV17: $i,SV7: $i] :
( ( ! [SY65: $i] :
( ( can @ ( monkey @ SV7 @ SV17 @ nothing ) @ ( ladder @ SV7 @ floor ) @ SV25 )
| ~ ( can @ ( monkey @ SV7 @ SV17 @ the_ladder ) @ ( ladder @ SV7 @ SY65 ) @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV26: $i,SV18: $i,SV8: $i] :
( ( ( can @ ( monkey @ SV8 @ SV18 @ nothing ) @ SV26 @ ( bananas @ SV8 @ floor ) )
| ~ ( can @ ( monkey @ SV8 @ SV18 @ the_bananas ) @ SV26 @ ( bananas @ SV8 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(68,plain,
! [SV27: $i,SV19: $i,SV9: $i] :
( ( ( can @ ( monkey @ SV9 @ SV19 @ the_bananas ) @ SV27 @ ( bananas @ SV9 @ SV19 ) )
| ~ ( can @ ( monkey @ SV9 @ SV19 @ nothing ) @ SV27 @ ( bananas @ SV9 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV28: $i,SV20: $i,SV10: $i] :
( ( ( can @ ( monkey @ SV10 @ SV20 @ the_ladder ) @ ( ladder @ SV10 @ SV20 ) @ SV28 )
| ~ ( can @ ( monkey @ SV10 @ SV20 @ nothing ) @ ( ladder @ SV10 @ SV20 ) @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(70,plain,
! [SV29: $i,SV21: $i,SV11: $i,SV1: $i] :
( ( ~ ( can @ ( monkey @ SV1 @ SV11 @ the_bananas ) @ SV21 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV12: $i,SV2: $i] :
( ( ( can @ ( monkey @ SV2 @ floor @ nothing ) @ ( ladder @ SV2 @ floor ) @ SV12 )
= $false )
| ( ( can @ ( monkey @ SV2 @ ceiling @ nothing ) @ ( ladder @ SV2 @ floor ) @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV13: $i,SV3: $i] :
( ( ( can @ ( monkey @ SV3 @ ceiling @ nothing ) @ ( ladder @ SV3 @ floor ) @ SV13 )
= $false )
| ( ( can @ ( monkey @ SV3 @ floor @ nothing ) @ ( ladder @ SV3 @ floor ) @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV22: $i,SV14: $i,SV4: $i] :
( ( ( can @ ( monkey @ SV4 @ floor @ the_ladder ) @ ( ladder @ SV4 @ floor ) @ SV14 )
= $true )
| ( ( ~ ( can @ ( monkey @ SV22 @ floor @ the_ladder ) @ ( ladder @ SV22 @ floor ) @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV23: $i,SV15: $i,SV5: $i] :
( ( ( can @ ( monkey @ SV5 @ floor @ the_bananas ) @ SV15 @ ( bananas @ SV5 @ floor ) )
= $true )
| ( ( ~ ( can @ ( monkey @ SV23 @ floor @ the_bananas ) @ SV15 @ ( bananas @ SV23 @ floor ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV30: $i,SV24: $i,SV16: $i,SV6: $i] :
( ( ( can @ ( monkey @ SV6 @ floor @ nothing ) @ SV16 @ SV24 )
| ~ ( can @ ( monkey @ SV30 @ floor @ nothing ) @ SV16 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(76,plain,
! [SV31: $i,SV25: $i,SV17: $i,SV7: $i] :
( ( ( can @ ( monkey @ SV7 @ SV17 @ nothing ) @ ( ladder @ SV7 @ floor ) @ SV25 )
| ~ ( can @ ( monkey @ SV7 @ SV17 @ the_ladder ) @ ( ladder @ SV7 @ SV31 ) @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV26: $i,SV18: $i,SV8: $i] :
( ( ( can @ ( monkey @ SV8 @ SV18 @ nothing ) @ SV26 @ ( bananas @ SV8 @ floor ) )
= $true )
| ( ( ~ ( can @ ( monkey @ SV8 @ SV18 @ the_bananas ) @ SV26 @ ( bananas @ SV8 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV27: $i,SV19: $i,SV9: $i] :
( ( ( can @ ( monkey @ SV9 @ SV19 @ the_bananas ) @ SV27 @ ( bananas @ SV9 @ SV19 ) )
= $true )
| ( ( ~ ( can @ ( monkey @ SV9 @ SV19 @ nothing ) @ SV27 @ ( bananas @ SV9 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV28: $i,SV20: $i,SV10: $i] :
( ( ( can @ ( monkey @ SV10 @ SV20 @ the_ladder ) @ ( ladder @ SV10 @ SV20 ) @ SV28 )
= $true )
| ( ( ~ ( can @ ( monkey @ SV10 @ SV20 @ nothing ) @ ( ladder @ SV10 @ SV20 ) @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV29: $i,SV21: $i,SV11: $i,SV1: $i] :
( ( can @ ( monkey @ SV1 @ SV11 @ the_bananas ) @ SV21 @ SV29 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV4: $i,SV14: $i,SV22: $i] :
( ( ( can @ ( monkey @ SV22 @ floor @ the_ladder ) @ ( ladder @ SV22 @ floor ) @ SV14 )
= $false )
| ( ( can @ ( monkey @ SV4 @ floor @ the_ladder ) @ ( ladder @ SV4 @ floor ) @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV5: $i,SV15: $i,SV23: $i] :
( ( ( can @ ( monkey @ SV23 @ floor @ the_bananas ) @ SV15 @ ( bananas @ SV23 @ floor ) )
= $false )
| ( ( can @ ( monkey @ SV5 @ floor @ the_bananas ) @ SV15 @ ( bananas @ SV5 @ floor ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV30: $i,SV24: $i,SV16: $i,SV6: $i] :
( ( ( can @ ( monkey @ SV6 @ floor @ nothing ) @ SV16 @ SV24 )
= $true )
| ( ( ~ ( can @ ( monkey @ SV30 @ floor @ nothing ) @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV31: $i,SV25: $i,SV17: $i,SV7: $i] :
( ( ( can @ ( monkey @ SV7 @ SV17 @ nothing ) @ ( ladder @ SV7 @ floor ) @ SV25 )
= $true )
| ( ( ~ ( can @ ( monkey @ SV7 @ SV17 @ the_ladder ) @ ( ladder @ SV7 @ SV31 ) @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV26: $i,SV18: $i,SV8: $i] :
( ( ( can @ ( monkey @ SV8 @ SV18 @ the_bananas ) @ SV26 @ ( bananas @ SV8 @ SV18 ) )
= $false )
| ( ( can @ ( monkey @ SV8 @ SV18 @ nothing ) @ SV26 @ ( bananas @ SV8 @ floor ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(86,plain,
! [SV27: $i,SV19: $i,SV9: $i] :
( ( ( can @ ( monkey @ SV9 @ SV19 @ nothing ) @ SV27 @ ( bananas @ SV9 @ SV19 ) )
= $false )
| ( ( can @ ( monkey @ SV9 @ SV19 @ the_bananas ) @ SV27 @ ( bananas @ SV9 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV28: $i,SV20: $i,SV10: $i] :
( ( ( can @ ( monkey @ SV10 @ SV20 @ nothing ) @ ( ladder @ SV10 @ SV20 ) @ SV28 )
= $false )
| ( ( can @ ( monkey @ SV10 @ SV20 @ the_ladder ) @ ( ladder @ SV10 @ SV20 ) @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV6: $i,SV24: $i,SV16: $i,SV30: $i] :
( ( ( can @ ( monkey @ SV30 @ floor @ nothing ) @ SV16 @ SV24 )
= $false )
| ( ( can @ ( monkey @ SV6 @ floor @ nothing ) @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(89,plain,
! [SV25: $i,SV31: $i,SV17: $i,SV7: $i] :
( ( ( can @ ( monkey @ SV7 @ SV17 @ the_ladder ) @ ( ladder @ SV7 @ SV31 ) @ SV25 )
= $false )
| ( ( can @ ( monkey @ SV7 @ SV17 @ nothing ) @ ( ladder @ SV7 @ floor ) @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(90,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,89,88,87,86,85,82,81,80,72,71,49]) ).
thf(91,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 13:50:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.26
% 0.08/0.26 No.of.Axioms: 11
% 0.08/0.26
% 0.08/0.26 Length.of.Defs: 0
% 0.08/0.26
% 0.08/0.26 Contains.Choice.Funs: false
% 0.08/0.26 ..
% 0.08/0.26
% 0.08/0.26 ********************************
% 0.08/0.26 * All subproblems solved! *
% 0.08/0.26 ********************************
% 0.08/0.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:90,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.26
% 0.08/0.26 %**** Beginning of derivation protocol ****
% 0.08/0.26 % SZS output start CNFRefutation
% See solution above
% 0.08/0.26
% 0.08/0.26 %**** End of derivation protocol ****
% 0.08/0.26 %**** no. of clauses in derivation: 91 ****
% 0.08/0.26 %**** clause counter: 90 ****
% 0.08/0.26
% 0.08/0.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:90,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------