%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n014.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 10:31:57 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 91 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 586 ( 170 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 935 ( 165 ~; 156 |; 6 &; 573 @)
% ( 6 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 96 ( 0 ^; 96 !; 0 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_bad,type,
bad: $i > $o ).
thf(tp_dci,type,
dci: $i ).
thf(tp_depth,type,
depth: $i > $i ).
thf(tp_depth_limit,type,
depth_limit: $i ).
thf(tp_dive,type,
dive: $i > $o ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_nitrogen,type,
nitrogen: $i > $i ).
thf(tp_nitrogen_limit,type,
nitrogen_limit: $i ).
thf(tp_outcome,type,
outcome: $i > $i > $o ).
thf(tp_padi,type,
padi: $i > $i > $i ).
thf(tp_sK1_D,type,
sK1_D: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_time,type,
time: $i > $i ).
thf(tp_time_limit,type,
time_limit: $i ).
thf(1,axiom,
! [D: $i] :
( ( dive @ D )
=> ( ~ ( greater @ ( depth @ D ) @ depth_limit )
& ~ ( greater @ ( time @ D ) @ time_limit ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_deep_long) ).
thf(2,axiom,
! [D: $i] :
( ( dive @ D )
=> ! [O: $i] :
( ( ( outcome @ D @ O )
& ( bad @ O ) )
=> ( O = dci ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
thf(3,axiom,
bad @ dci,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bad_dci) ).
thf(4,axiom,
! [D: $i] :
( ( dive @ D )
=> ( ( greater @ ( nitrogen @ D ) @ nitrogen_limit )
<=> ( outcome @ D @ dci ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',too_much_nitrogen) ).
thf(5,axiom,
! [D: $i] :
( ( dive @ D )
=> ( ( ( greater @ ( depth @ D ) @ depth_limit )
| ( greater @ ( time @ D ) @ time_limit ) )
<=> ( greater @ ( nitrogen @ D ) @ nitrogen_limit ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
thf(6,axiom,
! [D: $i] :
( ( dive @ D )
=> ( ( nitrogen @ D )
= ( padi @ ( depth @ D ) @ ( time @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dive_nitrogen) ).
thf(7,conjecture,
! [D: $i] :
( ( dive @ D )
=> ! [O: $i] :
( ( outcome @ D @ O )
=> ~ ( bad @ O ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_bad) ).
thf(8,negated_conjecture,
( ( ! [D: $i] :
( ( dive @ D )
=> ! [O: $i] :
( ( outcome @ D @ O )
=> ~ ( bad @ O ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ! [O: $i] :
( ( outcome @ D @ O )
=> ~ ( bad @ O ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ( ~ ( greater @ ( depth @ D ) @ depth_limit )
& ~ ( greater @ ( time @ D ) @ time_limit ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ! [O: $i] :
( ( ( outcome @ D @ O )
& ( bad @ O ) )
=> ( O = dci ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( bad @ dci )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ( ( greater @ ( nitrogen @ D ) @ nitrogen_limit )
<=> ( outcome @ D @ dci ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(14,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ( ( ( greater @ ( depth @ D ) @ depth_limit )
| ( greater @ ( time @ D ) @ time_limit ) )
<=> ( greater @ ( nitrogen @ D ) @ nitrogen_limit ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ( ( nitrogen @ D )
= ( padi @ ( depth @ D ) @ ( time @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(16,plain,
( ( ( dive @ sK1_D )
=> ! [SY8: $i] :
( ( outcome @ sK1_D @ SY8 )
=> ~ ( bad @ SY8 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(17,plain,
( ( dive @ sK1_D )
= $true ),
inference(standard_cnf,[status(thm)],[16]) ).
thf(18,plain,
( ( ! [SY8: $i] :
( ( outcome @ sK1_D @ SY8 )
=> ~ ( bad @ SY8 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ! [SY8: $i] :
( ( outcome @ sK1_D @ SY8 )
=> ~ ( bad @ SY8 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ( ( nitrogen @ D )
= ( padi @ ( depth @ D ) @ ( time @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(21,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ( ( ( greater @ ( depth @ D ) @ depth_limit )
| ( greater @ ( time @ D ) @ time_limit ) )
<=> ( greater @ ( nitrogen @ D ) @ nitrogen_limit ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(22,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ( ( greater @ ( nitrogen @ D ) @ nitrogen_limit )
<=> ( outcome @ D @ dci ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(23,plain,
( ( bad @ dci )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(24,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ! [O: $i] :
( ( ( outcome @ D @ O )
& ( bad @ O ) )
=> ( O = dci ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(25,plain,
( ( ! [D: $i] :
( ( dive @ D )
=> ( ~ ( greater @ ( depth @ D ) @ depth_limit )
& ~ ( greater @ ( time @ D ) @ time_limit ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(26,plain,
( ( dive @ sK1_D )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(27,plain,
( ( ~ ! [SY8: $i] :
( ( outcome @ sK1_D @ SY8 )
=> ~ ( bad @ SY8 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(28,plain,
( ( ! [SX0: $i] :
( ~ ( dive @ SX0 )
| ( ( nitrogen @ SX0 )
= ( padi @ ( depth @ SX0 ) @ ( time @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(29,plain,
( ( ~ ! [SX0: $i] :
( ~ ( outcome @ sK1_D @ SX0 )
| ~ ( bad @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(30,plain,
( ( ! [SX0: $i] :
( ~ ( dive @ SX0 )
| ~ ( ~ ( ~ ( ( greater @ ( depth @ SX0 ) @ depth_limit )
| ( greater @ ( time @ SX0 ) @ time_limit ) )
| ( greater @ ( nitrogen @ SX0 ) @ nitrogen_limit ) )
| ~ ( ~ ( greater @ ( nitrogen @ SX0 ) @ nitrogen_limit )
| ( greater @ ( depth @ SX0 ) @ depth_limit )
| ( greater @ ( time @ SX0 ) @ time_limit ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(31,plain,
( ( ! [SX0: $i] :
( ~ ( dive @ SX0 )
| ! [SX1: $i] :
( ~ ~ ( ~ ( outcome @ SX0 @ SX1 )
| ~ ( bad @ SX1 ) )
| ( SX1 = dci ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(32,plain,
( ( ! [SX0: $i] :
( ~ ( dive @ SX0 )
| ~ ( ~ ~ ( greater @ ( depth @ SX0 ) @ depth_limit )
| ~ ~ ( greater @ ( time @ SX0 ) @ time_limit ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(33,plain,
( ( ! [SX0: $i] :
( ~ ( dive @ SX0 )
| ~ ( ~ ( ~ ( greater @ ( nitrogen @ SX0 ) @ nitrogen_limit )
| ( outcome @ SX0 @ dci ) )
| ~ ( ~ ( outcome @ SX0 @ dci )
| ( greater @ ( nitrogen @ SX0 ) @ nitrogen_limit ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(34,plain,
! [SV1: $i] :
( ( ~ ( dive @ SV1 )
| ( ( nitrogen @ SV1 )
= ( padi @ ( depth @ SV1 ) @ ( time @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
( ( ! [SX0: $i] :
( ~ ( outcome @ sK1_D @ SX0 )
| ~ ( bad @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV2: $i] :
( ( ~ ( dive @ SV2 )
| ~ ( ~ ( ~ ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
| ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit ) )
| ~ ( ~ ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
| ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV3: $i] :
( ( ~ ( dive @ SV3 )
| ! [SY9: $i] :
( ~ ~ ( ~ ( outcome @ SV3 @ SY9 )
| ~ ( bad @ SY9 ) )
| ( SY9 = dci ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV4: $i] :
( ( ~ ( dive @ SV4 )
| ~ ( ~ ~ ( greater @ ( depth @ SV4 ) @ depth_limit )
| ~ ~ ( greater @ ( time @ SV4 ) @ time_limit ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV5: $i] :
( ( ~ ( dive @ SV5 )
| ~ ( ~ ( ~ ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
| ( outcome @ SV5 @ dci ) )
| ~ ( ~ ( outcome @ SV5 @ dci )
| ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV1: $i] :
( ( ( ~ ( dive @ SV1 ) )
= $true )
| ( ( ( nitrogen @ SV1 )
= ( padi @ ( depth @ SV1 ) @ ( time @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(41,plain,
( ( ~ ( outcome @ sK1_D @ sK2_SX0 )
| ~ ( bad @ sK2_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[35]) ).
thf(42,plain,
! [SV2: $i] :
( ( ( ~ ( dive @ SV2 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
| ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit ) )
| ~ ( ~ ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
| ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV3: $i] :
( ( ( ~ ( dive @ SV3 ) )
= $true )
| ( ( ! [SY9: $i] :
( ~ ~ ( ~ ( outcome @ SV3 @ SY9 )
| ~ ( bad @ SY9 ) )
| ( SY9 = dci ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV4: $i] :
( ( ( ~ ( dive @ SV4 ) )
= $true )
| ( ( ~ ( ~ ~ ( greater @ ( depth @ SV4 ) @ depth_limit )
| ~ ~ ( greater @ ( time @ SV4 ) @ time_limit ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV5: $i] :
( ( ( ~ ( dive @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
| ( outcome @ SV5 @ dci ) )
| ~ ( ~ ( outcome @ SV5 @ dci )
| ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV1: $i] :
( ( ( dive @ SV1 )
= $false )
| ( ( ( nitrogen @ SV1 )
= ( padi @ ( depth @ SV1 ) @ ( time @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
( ( ~ ( outcome @ sK1_D @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ( bad @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( dive @ SV2 )
= $false )
| ( ( ~ ( ~ ( ~ ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
| ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit ) )
| ~ ( ~ ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
| ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV3: $i] :
( ( ( dive @ SV3 )
= $false )
| ( ( ! [SY9: $i] :
( ~ ~ ( ~ ( outcome @ SV3 @ SY9 )
| ~ ( bad @ SY9 ) )
| ( SY9 = dci ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV4: $i] :
( ( ( dive @ SV4 )
= $false )
| ( ( ~ ( ~ ~ ( greater @ ( depth @ SV4 ) @ depth_limit )
| ~ ~ ( greater @ ( time @ SV4 ) @ time_limit ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV5: $i] :
( ( ( dive @ SV5 )
= $false )
| ( ( ~ ( ~ ( ~ ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
| ( outcome @ SV5 @ dci ) )
| ~ ( ~ ( outcome @ SV5 @ dci )
| ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(53,plain,
( ( outcome @ sK1_D @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(54,plain,
( ( bad @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
| ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit ) )
| ~ ( ~ ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
| ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) ) )
= $false )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( outcome @ SV3 @ SV6 )
| ~ ( bad @ SV6 ) )
| ( SV6 = dci ) )
= $true )
| ( ( dive @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV4: $i] :
( ( ( ~ ~ ( greater @ ( depth @ SV4 ) @ depth_limit )
| ~ ~ ( greater @ ( time @ SV4 ) @ time_limit ) )
= $false )
| ( ( dive @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
| ( outcome @ SV5 @ dci ) )
| ~ ( ~ ( outcome @ SV5 @ dci )
| ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit ) ) )
= $false )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
| ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit ) ) )
= $false )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
| ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) ) )
= $false )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( outcome @ SV3 @ SV6 )
| ~ ( bad @ SV6 ) ) )
= $true )
| ( ( SV6 = dci )
= $true )
| ( ( dive @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV4: $i] :
( ( ( ~ ~ ( greater @ ( depth @ SV4 ) @ depth_limit ) )
= $false )
| ( ( dive @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV4: $i] :
( ( ( ~ ~ ( greater @ ( time @ SV4 ) @ time_limit ) )
= $false )
| ( ( dive @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
| ( outcome @ SV5 @ dci ) ) )
= $false )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( outcome @ SV5 @ dci )
| ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit ) ) )
= $false )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV2: $i] :
( ( ( ~ ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
| ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit ) )
= $true )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV2: $i] :
( ( ( ~ ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
| ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
= $true )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(68,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( ~ ( outcome @ SV3 @ SV6 )
| ~ ( bad @ SV6 ) ) )
= $false )
| ( ( SV6 = dci )
= $true )
| ( ( dive @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV4: $i] :
( ( ( ~ ( greater @ ( depth @ SV4 ) @ depth_limit ) )
= $true )
| ( ( dive @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV4: $i] :
( ( ( ~ ( greater @ ( time @ SV4 ) @ time_limit ) )
= $true )
| ( ( dive @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(71,plain,
! [SV5: $i] :
( ( ( ~ ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
| ( outcome @ SV5 @ dci ) )
= $true )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(72,plain,
! [SV5: $i] :
( ( ( ~ ( outcome @ SV5 @ dci )
| ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit ) )
= $true )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(73,plain,
! [SV2: $i] :
( ( ( ~ ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) ) )
= $true )
| ( ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
= $true )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV2: $i] :
( ( ( ~ ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit ) )
= $true )
| ( ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
= $true )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( outcome @ SV3 @ SV6 )
| ~ ( bad @ SV6 ) )
= $true )
| ( ( SV6 = dci )
= $true )
| ( ( dive @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(76,plain,
! [SV4: $i] :
( ( ( greater @ ( depth @ SV4 ) @ depth_limit )
= $false )
| ( ( dive @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV4: $i] :
( ( ( greater @ ( time @ SV4 ) @ time_limit )
= $false )
| ( ( dive @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV5: $i] :
( ( ( ~ ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit ) )
= $true )
| ( ( outcome @ SV5 @ dci )
= $true )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV5: $i] :
( ( ( ~ ( outcome @ SV5 @ dci ) )
= $true )
| ( ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
= $true )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(80,plain,
! [SV2: $i] :
( ( ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
= $false )
| ( ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
= $true )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
! [SV2: $i] :
( ( ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
= $false )
| ( ( ( greater @ ( depth @ SV2 ) @ depth_limit )
| ( greater @ ( time @ SV2 ) @ time_limit ) )
= $true )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( outcome @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( bad @ SV6 ) )
= $true )
| ( ( SV6 = dci )
= $true )
| ( ( dive @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV5: $i] :
( ( ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
= $false )
| ( ( outcome @ SV5 @ dci )
= $true )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV5: $i] :
( ( ( outcome @ SV5 @ dci )
= $false )
| ( ( greater @ ( nitrogen @ SV5 ) @ nitrogen_limit )
= $true )
| ( ( dive @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(85,plain,
! [SV2: $i] :
( ( ( greater @ ( depth @ SV2 ) @ depth_limit )
= $false )
| ( ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
= $true )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(86,plain,
! [SV2: $i] :
( ( ( greater @ ( time @ SV2 ) @ time_limit )
= $false )
| ( ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
= $true )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(87,plain,
! [SV2: $i] :
( ( ( greater @ ( depth @ SV2 ) @ depth_limit )
= $true )
| ( ( greater @ ( time @ SV2 ) @ time_limit )
= $true )
| ( ( greater @ ( nitrogen @ SV2 ) @ nitrogen_limit )
= $false )
| ( ( dive @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV6: $i,SV3: $i] :
( ( ( outcome @ SV3 @ SV6 )
= $false )
| ( ( ~ ( bad @ SV6 ) )
= $true )
| ( ( SV6 = dci )
= $true )
| ( ( dive @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV3: $i,SV6: $i] :
( ( ( bad @ SV6 )
= $false )
| ( ( outcome @ SV3 @ SV6 )
= $false )
| ( ( SV6 = dci )
= $true )
| ( ( dive @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(90,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,89,87,86,85,84,83,77,76,54,53,46,26]) ).
thf(91,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 12:44:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25
% 0.07/0.25 No.of.Axioms: 6
% 0.07/0.25
% 0.07/0.25 Length.of.Defs: 0
% 0.07/0.25
% 0.07/0.25 Contains.Choice.Funs: false
% 0.07/0.25 .
% 0.07/0.25
% 0.07/0.25 ********************************
% 0.07/0.25 * All subproblems solved! *
% 0.07/0.25 ********************************
% 0.07/0.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:7,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)
% 0.07/0.25
% 0.07/0.25 %**** Beginning of derivation protocol ****
% 0.07/0.25 % SZS output start CNFRefutation
% See solution above
% 0.07/0.25
% 0.07/0.25 %**** End of derivation protocol ****
% 0.07/0.25 %**** no. of clauses in derivation: 91 ****
% 0.07/0.25 %**** clause counter: 90 ****
% 0.07/0.25
% 0.07/0.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:7,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)
%------------------------------------------------------------------------------