%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MSC001-1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 10:31:54 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.23s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 140 ( 91 unt; 0 typ; 0 def)
% Number of atoms : 627 ( 165 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1361 ( 142 ~; 157 |; 0 &;1062 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 318 ( 0 ^; 318 !; 0 ?; 318 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_answer,type,
answer: $i > $o ).
thf(tp_at,type,
at: $i > $i > $i > $o ).
thf(tp_do,type,
do: $i > $i > $i ).
thf(tp_go,type,
go: $i > $i ).
thf(tp_hand,type,
hand: $i ).
thf(tp_here,type,
here: $i ).
thf(tp_hold,type,
hold: $i > $i > $o ).
thf(tp_let_go,type,
let_go: $i ).
thf(tp_now,type,
now: $i ).
thf(tp_pick_up,type,
pick_up: $i ).
thf(tp_red,type,
red: $i > $o ).
thf(tp_s,type,
s: $i ).
thf(tp_taken,type,
taken: $i > $i ).
thf(tp_there,type,
there: $i ).
thf(tp_thing,type,
thing: $i > $i ).
thf(1,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ ( do @ let_go @ C ) )
| ( at @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( do @ let_go @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( do @ pick_up @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ~ ( at @ hand @ A @ B )
| ( at @ ( thing @ ( taken @ B ) ) @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ( hold @ ( thing @ A ) @ ( do @ ( go @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( at @ ( thing @ A ) @ B @ C )
| ( at @ ( thing @ A ) @ B @ ( do @ ( go @ B ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ~ ( red @ A )
| ~ ( at @ A @ there @ B )
| ( answer @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ~ ( at @ ( thing @ A ) @ C @ B )
| ( at @ hand @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ~ ( at @ hand @ C @ B )
| ( at @ ( thing @ A ) @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( at @ hand @ A @ B )
| ~ ( at @ ( thing @ C ) @ A @ B )
| ( hold @ ( thing @ ( taken @ B ) ) @ ( do @ pick_up @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( at @ ( thing @ A ) @ B @ ( do @ ( go @ B ) @ C ) )
| ( at @ ( thing @ A ) @ B @ C )
| ( hold @ ( thing @ A ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(12,axiom,
at @ ( thing @ s ) @ here @ now,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(13,axiom,
! [A: $i,B: $i] : ( at @ hand @ A @ ( do @ ( go @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(14,axiom,
~ ( red @ hand ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(15,axiom,
! [A: $i,B: $i] :
~ ( hold @ ( thing @ A ) @ ( do @ let_go @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( at @ A @ there @ B )
| ~ ( at @ A @ here @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(17,axiom,
! [A: $i] :
( ~ ( at @ A @ here @ now )
| ( red @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',things_here_now_are_red) ).
thf(18,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(19,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[18]) ).
thf(20,negated_conjecture,
! [A: $i] :
~ ( answer @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_red_thing) ).
thf(21,plain,
$false = $false,
inference(unfold_def,[status(thm)],[19]) ).
thf(22,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ ( do @ let_go @ C ) )
| ( at @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(23,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( do @ let_go @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(24,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( do @ pick_up @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ~ ( at @ hand @ A @ B )
| ( at @ ( thing @ ( taken @ B ) ) @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(26,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ( hold @ ( thing @ A ) @ ( do @ ( go @ C ) @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(27,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ ( thing @ A ) @ B @ C )
| ( at @ ( thing @ A ) @ B @ ( do @ ( go @ B ) @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(28,plain,
( ( ! [A: $i,B: $i] :
( ~ ( red @ A )
| ~ ( at @ A @ there @ B )
| ( answer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(29,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ~ ( at @ ( thing @ A ) @ C @ B )
| ( at @ hand @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(30,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ~ ( at @ hand @ C @ B )
| ( at @ ( thing @ A ) @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(31,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ hand @ A @ B )
| ~ ( at @ ( thing @ C ) @ A @ B )
| ( hold @ ( thing @ ( taken @ B ) ) @ ( do @ pick_up @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(32,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ ( thing @ A ) @ B @ ( do @ ( go @ B ) @ C ) )
| ( at @ ( thing @ A ) @ B @ C )
| ( hold @ ( thing @ A ) @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(33,plain,
( ( at @ ( thing @ s ) @ here @ now )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] : ( at @ hand @ A @ ( do @ ( go @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(35,plain,
( ( ~ ( red @ hand ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
~ ( hold @ ( thing @ A ) @ ( do @ let_go @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ~ ( at @ A @ there @ B )
| ~ ( at @ A @ here @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,plain,
( ( ! [A: $i] :
( ~ ( at @ A @ here @ now )
| ( red @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(39,plain,
( ( ! [A: $i] :
~ ( answer @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(40,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(41,plain,
( ( ! [A: $i] :
~ ( answer @ A ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(42,plain,
( ( ! [A: $i] :
( ~ ( at @ A @ here @ now )
| ( red @ A ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ~ ( at @ A @ there @ B )
| ~ ( at @ A @ here @ B ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
~ ( hold @ ( thing @ A ) @ ( do @ let_go @ B ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ( red @ hand ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] : ( at @ hand @ A @ ( do @ ( go @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(47,plain,
( ( at @ ( thing @ s ) @ here @ now )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ ( thing @ A ) @ B @ ( do @ ( go @ B ) @ C ) )
| ( at @ ( thing @ A ) @ B @ C )
| ( hold @ ( thing @ A ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ hand @ A @ B )
| ~ ( at @ ( thing @ C ) @ A @ B )
| ( hold @ ( thing @ ( taken @ B ) ) @ ( do @ pick_up @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(50,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ~ ( at @ hand @ C @ B )
| ( at @ ( thing @ A ) @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(51,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ~ ( at @ ( thing @ A ) @ C @ B )
| ( at @ hand @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ~ ( red @ A )
| ~ ( at @ A @ there @ B )
| ( answer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(53,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ ( thing @ A ) @ B @ C )
| ( at @ ( thing @ A ) @ B @ ( do @ ( go @ B ) @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( hold @ ( thing @ A ) @ B )
| ( hold @ ( thing @ A ) @ ( do @ ( go @ C ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ~ ( at @ hand @ A @ B )
| ( at @ ( thing @ ( taken @ B ) ) @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(56,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( do @ pick_up @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(57,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( do @ let_go @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(58,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( at @ A @ B @ ( do @ let_go @ C ) )
| ( at @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(59,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[40]) ).
thf(60,plain,
! [SV1: $i] :
( ( ~ ( answer @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(61,plain,
! [SV2: $i] :
( ( ~ ( at @ SV2 @ here @ now )
| ( red @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(62,plain,
! [SV3: $i] :
( ( ! [SY39: $i] :
( ~ ( at @ SV3 @ there @ SY39 )
| ~ ( at @ SV3 @ here @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(63,plain,
! [SV4: $i] :
( ( ! [SY40: $i] :
~ ( hold @ ( thing @ SV4 ) @ ( do @ let_go @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(64,plain,
( ( red @ hand )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(65,plain,
! [SV5: $i] :
( ( ! [SY41: $i] : ( at @ hand @ SV5 @ ( do @ ( go @ SV5 ) @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(66,plain,
! [SV6: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ~ ( at @ ( thing @ SV6 ) @ SY42 @ ( do @ ( go @ SY42 ) @ SY43 ) )
| ( at @ ( thing @ SV6 ) @ SY42 @ SY43 )
| ( hold @ ( thing @ SV6 ) @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(67,plain,
! [SV7: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( at @ hand @ SV7 @ SY44 )
| ~ ( at @ ( thing @ SY45 ) @ SV7 @ SY44 )
| ( hold @ ( thing @ ( taken @ SY44 ) ) @ ( do @ pick_up @ SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(68,plain,
! [SV8: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ( hold @ ( thing @ SV8 ) @ SY46 )
| ~ ( at @ hand @ SY47 @ SY46 )
| ( at @ ( thing @ SV8 ) @ SY47 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(69,plain,
! [SV9: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( hold @ ( thing @ SV9 ) @ SY48 )
| ~ ( at @ ( thing @ SV9 ) @ SY49 @ SY48 )
| ( at @ hand @ SY49 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(70,plain,
! [SV10: $i] :
( ( ! [SY50: $i] :
( ~ ( red @ SV10 )
| ~ ( at @ SV10 @ there @ SY50 )
| ( answer @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(71,plain,
! [SV11: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ( at @ ( thing @ SV11 ) @ SY51 @ SY52 )
| ( at @ ( thing @ SV11 ) @ SY51 @ ( do @ ( go @ SY51 ) @ SY52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(72,plain,
! [SV12: $i] :
( ( ! [SY53: $i,SY54: $i] :
( ~ ( hold @ ( thing @ SV12 ) @ SY53 )
| ( hold @ ( thing @ SV12 ) @ ( do @ ( go @ SY54 ) @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(73,plain,
! [SV13: $i] :
( ( ! [SY55: $i] :
( ~ ( at @ hand @ SV13 @ SY55 )
| ( at @ ( thing @ ( taken @ SY55 ) ) @ SV13 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(74,plain,
! [SV14: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ( at @ SV14 @ SY56 @ SY57 )
| ( at @ SV14 @ SY56 @ ( do @ pick_up @ SY57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(75,plain,
! [SV15: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ( at @ SV15 @ SY58 @ SY59 )
| ( at @ SV15 @ SY58 @ ( do @ let_go @ SY59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(76,plain,
! [SV16: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ~ ( at @ SV16 @ SY60 @ ( do @ let_go @ SY61 ) )
| ( at @ SV16 @ SY60 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(77,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(78,plain,
! [SV1: $i] :
( ( answer @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(79,plain,
! [SV2: $i] :
( ( ( ~ ( at @ SV2 @ here @ now ) )
= $true )
| ( ( red @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(80,plain,
! [SV17: $i,SV3: $i] :
( ( ~ ( at @ SV3 @ there @ SV17 )
| ~ ( at @ SV3 @ here @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(81,plain,
! [SV18: $i,SV4: $i] :
( ( ~ ( hold @ ( thing @ SV4 ) @ ( do @ let_go @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(82,plain,
! [SV19: $i,SV5: $i] :
( ( at @ hand @ SV5 @ ( do @ ( go @ SV5 ) @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(83,plain,
! [SV20: $i,SV6: $i] :
( ( ! [SY62: $i] :
( ~ ( at @ ( thing @ SV6 ) @ SV20 @ ( do @ ( go @ SV20 ) @ SY62 ) )
| ( at @ ( thing @ SV6 ) @ SV20 @ SY62 )
| ( hold @ ( thing @ SV6 ) @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(84,plain,
! [SV21: $i,SV7: $i] :
( ( ! [SY63: $i] :
( ~ ( at @ hand @ SV7 @ SV21 )
| ~ ( at @ ( thing @ SY63 ) @ SV7 @ SV21 )
| ( hold @ ( thing @ ( taken @ SV21 ) ) @ ( do @ pick_up @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(85,plain,
! [SV22: $i,SV8: $i] :
( ( ! [SY64: $i] :
( ~ ( hold @ ( thing @ SV8 ) @ SV22 )
| ~ ( at @ hand @ SY64 @ SV22 )
| ( at @ ( thing @ SV8 ) @ SY64 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(86,plain,
! [SV23: $i,SV9: $i] :
( ( ! [SY65: $i] :
( ~ ( hold @ ( thing @ SV9 ) @ SV23 )
| ~ ( at @ ( thing @ SV9 ) @ SY65 @ SV23 )
| ( at @ hand @ SY65 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(87,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( red @ SV10 )
| ~ ( at @ SV10 @ there @ SV24 )
| ( answer @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(88,plain,
! [SV25: $i,SV11: $i] :
( ( ! [SY66: $i] :
( ~ ( at @ ( thing @ SV11 ) @ SV25 @ SY66 )
| ( at @ ( thing @ SV11 ) @ SV25 @ ( do @ ( go @ SV25 ) @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(89,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY67: $i] :
( ~ ( hold @ ( thing @ SV12 ) @ SV26 )
| ( hold @ ( thing @ SV12 ) @ ( do @ ( go @ SY67 ) @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(90,plain,
! [SV27: $i,SV13: $i] :
( ( ~ ( at @ hand @ SV13 @ SV27 )
| ( at @ ( thing @ ( taken @ SV27 ) ) @ SV13 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(91,plain,
! [SV28: $i,SV14: $i] :
( ( ! [SY68: $i] :
( ~ ( at @ SV14 @ SV28 @ SY68 )
| ( at @ SV14 @ SV28 @ ( do @ pick_up @ SY68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(92,plain,
! [SV29: $i,SV15: $i] :
( ( ! [SY69: $i] :
( ~ ( at @ SV15 @ SV29 @ SY69 )
| ( at @ SV15 @ SV29 @ ( do @ let_go @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(93,plain,
! [SV30: $i,SV16: $i] :
( ( ! [SY70: $i] :
( ~ ( at @ SV16 @ SV30 @ ( do @ let_go @ SY70 ) )
| ( at @ SV16 @ SV30 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(94,plain,
! [SV2: $i] :
( ( ( at @ SV2 @ here @ now )
= $false )
| ( ( red @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(95,plain,
! [SV17: $i,SV3: $i] :
( ( ( ~ ( at @ SV3 @ there @ SV17 ) )
= $true )
| ( ( ~ ( at @ SV3 @ here @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(96,plain,
! [SV18: $i,SV4: $i] :
( ( hold @ ( thing @ SV4 ) @ ( do @ let_go @ SV18 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(97,plain,
! [SV31: $i,SV20: $i,SV6: $i] :
( ( ~ ( at @ ( thing @ SV6 ) @ SV20 @ ( do @ ( go @ SV20 ) @ SV31 ) )
| ( at @ ( thing @ SV6 ) @ SV20 @ SV31 )
| ( hold @ ( thing @ SV6 ) @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV32: $i,SV21: $i,SV7: $i] :
( ( ~ ( at @ hand @ SV7 @ SV21 )
| ~ ( at @ ( thing @ SV32 ) @ SV7 @ SV21 )
| ( hold @ ( thing @ ( taken @ SV21 ) ) @ ( do @ pick_up @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV33: $i,SV22: $i,SV8: $i] :
( ( ~ ( hold @ ( thing @ SV8 ) @ SV22 )
| ~ ( at @ hand @ SV33 @ SV22 )
| ( at @ ( thing @ SV8 ) @ SV33 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ~ ( hold @ ( thing @ SV9 ) @ SV23 )
| ~ ( at @ ( thing @ SV9 ) @ SV34 @ SV23 )
| ( at @ hand @ SV34 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( red @ SV10 ) )
= $true )
| ( ( ~ ( at @ SV10 @ there @ SV24 )
| ( answer @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV35: $i,SV25: $i,SV11: $i] :
( ( ~ ( at @ ( thing @ SV11 ) @ SV25 @ SV35 )
| ( at @ ( thing @ SV11 ) @ SV25 @ ( do @ ( go @ SV25 ) @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(103,plain,
! [SV36: $i,SV26: $i,SV12: $i] :
( ( ~ ( hold @ ( thing @ SV12 ) @ SV26 )
| ( hold @ ( thing @ SV12 ) @ ( do @ ( go @ SV36 ) @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( at @ hand @ SV13 @ SV27 ) )
= $true )
| ( ( at @ ( thing @ ( taken @ SV27 ) ) @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV37: $i,SV28: $i,SV14: $i] :
( ( ~ ( at @ SV14 @ SV28 @ SV37 )
| ( at @ SV14 @ SV28 @ ( do @ pick_up @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV38: $i,SV29: $i,SV15: $i] :
( ( ~ ( at @ SV15 @ SV29 @ SV38 )
| ( at @ SV15 @ SV29 @ ( do @ let_go @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV39: $i,SV30: $i,SV16: $i] :
( ( ~ ( at @ SV16 @ SV30 @ ( do @ let_go @ SV39 ) )
| ( at @ SV16 @ SV30 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV17: $i,SV3: $i] :
( ( ( at @ SV3 @ there @ SV17 )
= $false )
| ( ( ~ ( at @ SV3 @ here @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(109,plain,
! [SV31: $i,SV20: $i,SV6: $i] :
( ( ( ~ ( at @ ( thing @ SV6 ) @ SV20 @ ( do @ ( go @ SV20 ) @ SV31 ) ) )
= $true )
| ( ( ( at @ ( thing @ SV6 ) @ SV20 @ SV31 )
| ( hold @ ( thing @ SV6 ) @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV32: $i,SV21: $i,SV7: $i] :
( ( ( ~ ( at @ hand @ SV7 @ SV21 ) )
= $true )
| ( ( ~ ( at @ ( thing @ SV32 ) @ SV7 @ SV21 )
| ( hold @ ( thing @ ( taken @ SV21 ) ) @ ( do @ pick_up @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV33: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( hold @ ( thing @ SV8 ) @ SV22 ) )
= $true )
| ( ( ~ ( at @ hand @ SV33 @ SV22 )
| ( at @ ( thing @ SV8 ) @ SV33 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ( ~ ( hold @ ( thing @ SV9 ) @ SV23 ) )
= $true )
| ( ( ~ ( at @ ( thing @ SV9 ) @ SV34 @ SV23 )
| ( at @ hand @ SV34 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(113,plain,
! [SV24: $i,SV10: $i] :
( ( ( red @ SV10 )
= $false )
| ( ( ~ ( at @ SV10 @ there @ SV24 )
| ( answer @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV35: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( at @ ( thing @ SV11 ) @ SV25 @ SV35 ) )
= $true )
| ( ( at @ ( thing @ SV11 ) @ SV25 @ ( do @ ( go @ SV25 ) @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV36: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( hold @ ( thing @ SV12 ) @ SV26 ) )
= $true )
| ( ( hold @ ( thing @ SV12 ) @ ( do @ ( go @ SV36 ) @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV27: $i,SV13: $i] :
( ( ( at @ hand @ SV13 @ SV27 )
= $false )
| ( ( at @ ( thing @ ( taken @ SV27 ) ) @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(117,plain,
! [SV37: $i,SV28: $i,SV14: $i] :
( ( ( ~ ( at @ SV14 @ SV28 @ SV37 ) )
= $true )
| ( ( at @ SV14 @ SV28 @ ( do @ pick_up @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(118,plain,
! [SV38: $i,SV29: $i,SV15: $i] :
( ( ( ~ ( at @ SV15 @ SV29 @ SV38 ) )
= $true )
| ( ( at @ SV15 @ SV29 @ ( do @ let_go @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(119,plain,
! [SV39: $i,SV30: $i,SV16: $i] :
( ( ( ~ ( at @ SV16 @ SV30 @ ( do @ let_go @ SV39 ) ) )
= $true )
| ( ( at @ SV16 @ SV30 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(120,plain,
! [SV17: $i,SV3: $i] :
( ( ( at @ SV3 @ here @ SV17 )
= $false )
| ( ( at @ SV3 @ there @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(121,plain,
! [SV31: $i,SV20: $i,SV6: $i] :
( ( ( at @ ( thing @ SV6 ) @ SV20 @ ( do @ ( go @ SV20 ) @ SV31 ) )
= $false )
| ( ( ( at @ ( thing @ SV6 ) @ SV20 @ SV31 )
| ( hold @ ( thing @ SV6 ) @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(122,plain,
! [SV32: $i,SV21: $i,SV7: $i] :
( ( ( at @ hand @ SV7 @ SV21 )
= $false )
| ( ( ~ ( at @ ( thing @ SV32 ) @ SV7 @ SV21 )
| ( hold @ ( thing @ ( taken @ SV21 ) ) @ ( do @ pick_up @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(123,plain,
! [SV33: $i,SV22: $i,SV8: $i] :
( ( ( hold @ ( thing @ SV8 ) @ SV22 )
= $false )
| ( ( ~ ( at @ hand @ SV33 @ SV22 )
| ( at @ ( thing @ SV8 ) @ SV33 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(124,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ( hold @ ( thing @ SV9 ) @ SV23 )
= $false )
| ( ( ~ ( at @ ( thing @ SV9 ) @ SV34 @ SV23 )
| ( at @ hand @ SV34 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(125,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( at @ SV10 @ there @ SV24 ) )
= $true )
| ( ( answer @ SV24 )
= $true )
| ( ( red @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(126,plain,
! [SV35: $i,SV25: $i,SV11: $i] :
( ( ( at @ ( thing @ SV11 ) @ SV25 @ SV35 )
= $false )
| ( ( at @ ( thing @ SV11 ) @ SV25 @ ( do @ ( go @ SV25 ) @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(127,plain,
! [SV36: $i,SV26: $i,SV12: $i] :
( ( ( hold @ ( thing @ SV12 ) @ SV26 )
= $false )
| ( ( hold @ ( thing @ SV12 ) @ ( do @ ( go @ SV36 ) @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(128,plain,
! [SV37: $i,SV28: $i,SV14: $i] :
( ( ( at @ SV14 @ SV28 @ SV37 )
= $false )
| ( ( at @ SV14 @ SV28 @ ( do @ pick_up @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV38: $i,SV29: $i,SV15: $i] :
( ( ( at @ SV15 @ SV29 @ SV38 )
= $false )
| ( ( at @ SV15 @ SV29 @ ( do @ let_go @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(130,plain,
! [SV39: $i,SV30: $i,SV16: $i] :
( ( ( at @ SV16 @ SV30 @ ( do @ let_go @ SV39 ) )
= $false )
| ( ( at @ SV16 @ SV30 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(131,plain,
! [SV31: $i,SV20: $i,SV6: $i] :
( ( ( at @ ( thing @ SV6 ) @ SV20 @ SV31 )
= $true )
| ( ( hold @ ( thing @ SV6 ) @ SV31 )
= $true )
| ( ( at @ ( thing @ SV6 ) @ SV20 @ ( do @ ( go @ SV20 ) @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(132,plain,
! [SV21: $i,SV7: $i,SV32: $i] :
( ( ( ~ ( at @ ( thing @ SV32 ) @ SV7 @ SV21 ) )
= $true )
| ( ( hold @ ( thing @ ( taken @ SV21 ) ) @ ( do @ pick_up @ SV21 ) )
= $true )
| ( ( at @ hand @ SV7 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(133,plain,
! [SV8: $i,SV22: $i,SV33: $i] :
( ( ( ~ ( at @ hand @ SV33 @ SV22 ) )
= $true )
| ( ( at @ ( thing @ SV8 ) @ SV33 @ SV22 )
= $true )
| ( ( hold @ ( thing @ SV8 ) @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(134,plain,
! [SV23: $i,SV34: $i,SV9: $i] :
( ( ( ~ ( at @ ( thing @ SV9 ) @ SV34 @ SV23 ) )
= $true )
| ( ( at @ hand @ SV34 @ SV23 )
= $true )
| ( ( hold @ ( thing @ SV9 ) @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(135,plain,
! [SV24: $i,SV10: $i] :
( ( ( at @ SV10 @ there @ SV24 )
= $false )
| ( ( answer @ SV24 )
= $true )
| ( ( red @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(136,plain,
! [SV21: $i,SV7: $i,SV32: $i] :
( ( ( at @ ( thing @ SV32 ) @ SV7 @ SV21 )
= $false )
| ( ( hold @ ( thing @ ( taken @ SV21 ) ) @ ( do @ pick_up @ SV21 ) )
= $true )
| ( ( at @ hand @ SV7 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(137,plain,
! [SV8: $i,SV22: $i,SV33: $i] :
( ( ( at @ hand @ SV33 @ SV22 )
= $false )
| ( ( at @ ( thing @ SV8 ) @ SV33 @ SV22 )
= $true )
| ( ( hold @ ( thing @ SV8 ) @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(138,plain,
! [SV23: $i,SV34: $i,SV9: $i] :
( ( ( at @ ( thing @ SV9 ) @ SV34 @ SV23 )
= $false )
| ( ( at @ hand @ SV34 @ SV23 )
= $true )
| ( ( hold @ ( thing @ SV9 ) @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(139,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[47,138,137,136,135,131,130,129,128,127,126,120,116,96,94,82,78,77,64]) ).
thf(140,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC001-1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n002.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Oct 6 12:47:27 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.23
% 0.07/0.23 No.of.Axioms: 18
% 0.07/0.23
% 0.07/0.23 Length.of.Defs: 0
% 0.07/0.23
% 0.07/0.23 Contains.Choice.Funs: false
% 0.07/0.23 ..
% 0.07/0.23
% 0.07/0.23 ********************************
% 0.07/0.23 * All subproblems solved! *
% 0.07/0.23 ********************************
% 0.07/0.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:0,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:139,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.23
% 0.07/0.23 %**** Beginning of derivation protocol ****
% 0.07/0.23 % SZS output start CNFRefutation
% See solution above
% 0.07/0.23
% 0.07/0.23 %**** End of derivation protocol ****
% 0.07/0.23 %**** no. of clauses in derivation: 140 ****
% 0.07/0.23 %**** clause counter: 139 ****
% 0.07/0.23
% 0.07/0.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:0,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:139,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------