%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n009.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 10:31:38 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.22s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 134 ( 81 unt; 0 typ; 0 def)
% Number of atoms : 644 ( 226 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1046 ( 134 ~; 180 |; 0 &; 732 @)
% ( 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 : 14 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 273 ( 0 ^; 273 !; 0 ?; 273 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_age,type,
age: $i > $i > $i ).
thf(tp_external_ties,type,
external_ties: $i > $i > $i ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_organization,type,
organization: $i > $o ).
thf(tp_position,type,
position: $i > $i > $i ).
thf(tp_sk1,type,
sk1: $i ).
thf(tp_sk2,type,
sk2: $i ).
thf(tp_sk3,type,
sk3: $i ).
thf(tp_smaller,type,
smaller: $i > $i > $o ).
thf(tp_smaller_or_equal,type,
smaller_or_equal: $i > $i > $o ).
thf(1,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( age @ A @ B ) @ ( age @ A @ C ) )
| ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_32) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
!= ( external_ties @ A @ C ) )
| ( ( position @ A @ B )
= ( position @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_31) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) )
| ( greater @ ( position @ A @ B ) @ ( position @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_30) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(15,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(16,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[15]) ).
thf(17,negated_conjecture,
~ ( greater @ ( position @ sk1 @ sk3 ) @ ( position @ sk1 @ sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_35) ).
thf(18,negated_conjecture,
greater @ ( age @ sk1 @ sk3 ) @ ( age @ sk1 @ sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_34) ).
thf(19,negated_conjecture,
organization @ sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_33) ).
thf(20,plain,
$false = $false,
inference(unfold_def,[status(thm)],[16]) ).
thf(21,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( age @ A @ B ) @ ( age @ A @ C ) )
| ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
!= ( external_ties @ A @ C ) )
| ( ( position @ A @ B )
= ( position @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) )
| ( greater @ ( position @ A @ B ) @ ( position @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(35,plain,
( ( ~ ( greater @ ( position @ sk1 @ sk3 ) @ ( position @ sk1 @ sk2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(36,plain,
( ( greater @ ( age @ sk1 @ sk3 ) @ ( age @ sk1 @ sk2 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(37,plain,
( ( organization @ sk1 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(38,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(39,plain,
( ( organization @ sk1 )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(40,plain,
( ( greater @ ( age @ sk1 @ sk3 ) @ ( age @ sk1 @ sk2 ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ( greater @ ( position @ sk1 @ sk3 ) @ ( position @ sk1 @ sk2 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(42,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(51,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(53,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) )
| ( greater @ ( position @ A @ B ) @ ( position @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
!= ( external_ties @ A @ C ) )
| ( ( position @ A @ B )
= ( position @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( age @ A @ B ) @ ( age @ A @ C ) )
| ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(56,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[38]) ).
thf(57,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(58,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(59,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( organization @ SX0 )
| ( ( external_ties @ SX0 @ SX1 )
!= ( external_ties @ SX0 @ SX2 ) )
| ( ( position @ SX0 @ SX1 )
= ( position @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(60,plain,
( ( greater @ ( position @ sk1 @ sk3 ) @ ( position @ sk1 @ sk2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(61,plain,
! [SV1: $i] :
( ( ! [SY32: $i] :
( ~ ( smaller_or_equal @ SV1 @ SY32 )
| ( smaller @ SV1 @ SY32 )
| ( SV1 = SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(62,plain,
! [SV2: $i] :
( ( ! [SY33: $i] :
( ~ ( smaller @ SV2 @ SY33 )
| ( smaller_or_equal @ SV2 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(63,plain,
! [SV3: $i] :
( ( ! [SY34: $i] :
( ~ ( greater_or_equal @ SV3 @ SY34 )
| ( greater @ SV3 @ SY34 )
| ( SV3 = SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(64,plain,
! [SV4: $i] :
( ( ! [SY35: $i] :
( ~ ( greater @ SV4 @ SY35 )
| ( greater_or_equal @ SV4 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(65,plain,
! [SV5: $i] :
( ( ! [SY36: $i] :
( ~ ( smaller @ SV5 @ SY36 )
| ( greater @ SY36 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(66,plain,
! [SV6: $i] :
( ( ! [SY37: $i] :
( ~ ( greater @ SV6 @ SY37 )
| ( smaller @ SY37 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(67,plain,
! [SV7: $i] :
( ( ! [SY38: $i] :
( ~ ( greater @ SV7 @ SY38 )
| ~ ( greater @ SY38 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(68,plain,
! [SV8: $i] :
( ( ! [SY39: $i,SY40: $i] :
( ~ ( greater @ SV8 @ SY39 )
| ~ ( greater @ SY39 @ SY40 )
| ( greater @ SV8 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(69,plain,
! [SV9: $i] :
( ( ! [SY41: $i] :
( ( smaller @ SV9 @ SY41 )
| ( SV9 = SY41 )
| ( greater @ SV9 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(70,plain,
! [SV10: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ~ ( organization @ SV10 )
| ~ ( greater @ ( external_ties @ SV10 @ SY42 ) @ ( external_ties @ SV10 @ SY43 ) )
| ( greater @ ( position @ SV10 @ SY42 ) @ ( position @ SV10 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(71,plain,
! [SV11: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( organization @ SV11 )
| ~ ( greater @ ( age @ SV11 @ SY44 ) @ ( age @ SV11 @ SY45 ) )
| ( greater @ ( external_ties @ SV11 @ SY44 ) @ ( external_ties @ SV11 @ SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(72,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(73,plain,
! [SV12: $i] :
( ( ! [SY46: $i] :
( ( SV12 != SY46 )
| ( smaller_or_equal @ SV12 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(74,plain,
! [SV13: $i] :
( ( ! [SY47: $i] :
( ( SV13 != SY47 )
| ( greater_or_equal @ SV13 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(75,plain,
! [SV14: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( organization @ SV14 )
| ( ( external_ties @ SV14 @ SY48 )
!= ( external_ties @ SV14 @ SY49 ) )
| ( ( position @ SV14 @ SY48 )
= ( position @ SV14 @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(76,plain,
! [SV15: $i,SV1: $i] :
( ( ~ ( smaller_or_equal @ SV1 @ SV15 )
| ( smaller @ SV1 @ SV15 )
| ( SV1 = SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(77,plain,
! [SV16: $i,SV2: $i] :
( ( ~ ( smaller @ SV2 @ SV16 )
| ( smaller_or_equal @ SV2 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(78,plain,
! [SV17: $i,SV3: $i] :
( ( ~ ( greater_or_equal @ SV3 @ SV17 )
| ( greater @ SV3 @ SV17 )
| ( SV3 = SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(79,plain,
! [SV18: $i,SV4: $i] :
( ( ~ ( greater @ SV4 @ SV18 )
| ( greater_or_equal @ SV4 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(80,plain,
! [SV19: $i,SV5: $i] :
( ( ~ ( smaller @ SV5 @ SV19 )
| ( greater @ SV19 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(81,plain,
! [SV20: $i,SV6: $i] :
( ( ~ ( greater @ SV6 @ SV20 )
| ( smaller @ SV20 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(82,plain,
! [SV21: $i,SV7: $i] :
( ( ~ ( greater @ SV7 @ SV21 )
| ~ ( greater @ SV21 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(83,plain,
! [SV22: $i,SV8: $i] :
( ( ! [SY50: $i] :
( ~ ( greater @ SV8 @ SV22 )
| ~ ( greater @ SV22 @ SY50 )
| ( greater @ SV8 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(84,plain,
! [SV23: $i,SV9: $i] :
( ( ( smaller @ SV9 @ SV23 )
| ( SV9 = SV23 )
| ( greater @ SV9 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(85,plain,
! [SV24: $i,SV10: $i] :
( ( ! [SY51: $i] :
( ~ ( organization @ SV10 )
| ~ ( greater @ ( external_ties @ SV10 @ SV24 ) @ ( external_ties @ SV10 @ SY51 ) )
| ( greater @ ( position @ SV10 @ SV24 ) @ ( position @ SV10 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(86,plain,
! [SV25: $i,SV11: $i] :
( ( ! [SY52: $i] :
( ~ ( organization @ SV11 )
| ~ ( greater @ ( age @ SV11 @ SV25 ) @ ( age @ SV11 @ SY52 ) )
| ( greater @ ( external_ties @ SV11 @ SV25 ) @ ( external_ties @ SV11 @ SY52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV26: $i,SV12: $i] :
( ( ( SV12 != SV26 )
| ( smaller_or_equal @ SV12 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(88,plain,
! [SV27: $i,SV13: $i] :
( ( ( SV13 != SV27 )
| ( greater_or_equal @ SV13 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(89,plain,
! [SV28: $i,SV14: $i] :
( ( ! [SY53: $i] :
( ~ ( organization @ SV14 )
| ( ( external_ties @ SV14 @ SV28 )
!= ( external_ties @ SV14 @ SY53 ) )
| ( ( position @ SV14 @ SV28 )
= ( position @ SV14 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(90,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ( smaller_or_equal @ SV1 @ SV15 ) )
= $true )
| ( ( ( smaller @ SV1 @ SV15 )
| ( SV1 = SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV16: $i,SV2: $i] :
( ( ( ~ ( smaller @ SV2 @ SV16 ) )
= $true )
| ( ( smaller_or_equal @ SV2 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(92,plain,
! [SV17: $i,SV3: $i] :
( ( ( ~ ( greater_or_equal @ SV3 @ SV17 ) )
= $true )
| ( ( ( greater @ SV3 @ SV17 )
| ( SV3 = SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(93,plain,
! [SV18: $i,SV4: $i] :
( ( ( ~ ( greater @ SV4 @ SV18 ) )
= $true )
| ( ( greater_or_equal @ SV4 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV19: $i,SV5: $i] :
( ( ( ~ ( smaller @ SV5 @ SV19 ) )
= $true )
| ( ( greater @ SV19 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV20: $i,SV6: $i] :
( ( ( ~ ( greater @ SV6 @ SV20 ) )
= $true )
| ( ( smaller @ SV20 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV21: $i,SV7: $i] :
( ( ( ~ ( greater @ SV7 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV21 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV29: $i,SV22: $i,SV8: $i] :
( ( ~ ( greater @ SV8 @ SV22 )
| ~ ( greater @ SV22 @ SV29 )
| ( greater @ SV8 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV23: $i,SV9: $i] :
( ( ( smaller @ SV9 @ SV23 )
= $true )
| ( ( ( SV9 = SV23 )
| ( greater @ SV9 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV30: $i,SV24: $i,SV10: $i] :
( ( ~ ( organization @ SV10 )
| ~ ( greater @ ( external_ties @ SV10 @ SV24 ) @ ( external_ties @ SV10 @ SV30 ) )
| ( greater @ ( position @ SV10 @ SV24 ) @ ( position @ SV10 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV31: $i,SV25: $i,SV11: $i] :
( ( ~ ( organization @ SV11 )
| ~ ( greater @ ( age @ SV11 @ SV25 ) @ ( age @ SV11 @ SV31 ) )
| ( greater @ ( external_ties @ SV11 @ SV25 ) @ ( external_ties @ SV11 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV26: $i,SV12: $i] :
( ( ( SV12 != SV26 )
= $true )
| ( ( smaller_or_equal @ SV12 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV27: $i,SV13: $i] :
( ( ( SV13 != SV27 )
= $true )
| ( ( greater_or_equal @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(103,plain,
! [SV32: $i,SV28: $i,SV14: $i] :
( ( ~ ( organization @ SV14 )
| ( ( external_ties @ SV14 @ SV28 )
!= ( external_ties @ SV14 @ SV32 ) )
| ( ( position @ SV14 @ SV28 )
= ( position @ SV14 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV15: $i,SV1: $i] :
( ( ( smaller_or_equal @ SV1 @ SV15 )
= $false )
| ( ( ( smaller @ SV1 @ SV15 )
| ( SV1 = SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV16: $i,SV2: $i] :
( ( ( smaller @ SV2 @ SV16 )
= $false )
| ( ( smaller_or_equal @ SV2 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV17: $i,SV3: $i] :
( ( ( greater_or_equal @ SV3 @ SV17 )
= $false )
| ( ( ( greater @ SV3 @ SV17 )
| ( SV3 = SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV18: $i,SV4: $i] :
( ( ( greater @ SV4 @ SV18 )
= $false )
| ( ( greater_or_equal @ SV4 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV19: $i,SV5: $i] :
( ( ( smaller @ SV5 @ SV19 )
= $false )
| ( ( greater @ SV19 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV20: $i,SV6: $i] :
( ( ( greater @ SV6 @ SV20 )
= $false )
| ( ( smaller @ SV20 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV21: $i,SV7: $i] :
( ( ( greater @ SV7 @ SV21 )
= $false )
| ( ( ~ ( greater @ SV21 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV29: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( greater @ SV8 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV22 @ SV29 )
| ( greater @ SV8 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV23: $i,SV9: $i] :
( ( ( SV9 = SV23 )
= $true )
| ( ( greater @ SV9 @ SV23 )
= $true )
| ( ( smaller @ SV9 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV30: $i,SV24: $i,SV10: $i] :
( ( ( ~ ( organization @ SV10 ) )
= $true )
| ( ( ~ ( greater @ ( external_ties @ SV10 @ SV24 ) @ ( external_ties @ SV10 @ SV30 ) )
| ( greater @ ( position @ SV10 @ SV24 ) @ ( position @ SV10 @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV31: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( organization @ SV11 ) )
= $true )
| ( ( ~ ( greater @ ( age @ SV11 @ SV25 ) @ ( age @ SV11 @ SV31 ) )
| ( greater @ ( external_ties @ SV11 @ SV25 ) @ ( external_ties @ SV11 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV26: $i,SV12: $i] :
( ( ( SV12 = SV26 )
= $false )
| ( ( smaller_or_equal @ SV12 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV27: $i,SV13: $i] :
( ( ( SV13 = SV27 )
= $false )
| ( ( greater_or_equal @ SV13 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV32: $i,SV28: $i,SV14: $i] :
( ( ( ~ ( organization @ SV14 ) )
= $true )
| ( ( ( ( external_ties @ SV14 @ SV28 )
!= ( external_ties @ SV14 @ SV32 ) )
| ( ( position @ SV14 @ SV28 )
= ( position @ SV14 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV15: $i,SV1: $i] :
( ( ( smaller @ SV1 @ SV15 )
= $true )
| ( ( SV1 = SV15 )
= $true )
| ( ( smaller_or_equal @ SV1 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV17: $i,SV3: $i] :
( ( ( greater @ SV3 @ SV17 )
= $true )
| ( ( SV3 = SV17 )
= $true )
| ( ( greater_or_equal @ SV3 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(120,plain,
! [SV7: $i,SV21: $i] :
( ( ( greater @ SV21 @ SV7 )
= $false )
| ( ( greater @ SV7 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(121,plain,
! [SV29: $i,SV22: $i,SV8: $i] :
( ( ( greater @ SV8 @ SV22 )
= $false )
| ( ( ~ ( greater @ SV22 @ SV29 )
| ( greater @ SV8 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(122,plain,
! [SV30: $i,SV24: $i,SV10: $i] :
( ( ( organization @ SV10 )
= $false )
| ( ( ~ ( greater @ ( external_ties @ SV10 @ SV24 ) @ ( external_ties @ SV10 @ SV30 ) )
| ( greater @ ( position @ SV10 @ SV24 ) @ ( position @ SV10 @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(123,plain,
! [SV31: $i,SV25: $i,SV11: $i] :
( ( ( organization @ SV11 )
= $false )
| ( ( ~ ( greater @ ( age @ SV11 @ SV25 ) @ ( age @ SV11 @ SV31 ) )
| ( greater @ ( external_ties @ SV11 @ SV25 ) @ ( external_ties @ SV11 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(124,plain,
! [SV32: $i,SV28: $i,SV14: $i] :
( ( ( organization @ SV14 )
= $false )
| ( ( ( ( external_ties @ SV14 @ SV28 )
!= ( external_ties @ SV14 @ SV32 ) )
| ( ( position @ SV14 @ SV28 )
= ( position @ SV14 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV8: $i,SV29: $i,SV22: $i] :
( ( ( ~ ( greater @ SV22 @ SV29 ) )
= $true )
| ( ( greater @ SV8 @ SV29 )
= $true )
| ( ( greater @ SV8 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(126,plain,
! [SV30: $i,SV24: $i,SV10: $i] :
( ( ( ~ ( greater @ ( external_ties @ SV10 @ SV24 ) @ ( external_ties @ SV10 @ SV30 ) ) )
= $true )
| ( ( greater @ ( position @ SV10 @ SV24 ) @ ( position @ SV10 @ SV30 ) )
= $true )
| ( ( organization @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(127,plain,
! [SV31: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( greater @ ( age @ SV11 @ SV25 ) @ ( age @ SV11 @ SV31 ) ) )
= $true )
| ( ( greater @ ( external_ties @ SV11 @ SV25 ) @ ( external_ties @ SV11 @ SV31 ) )
= $true )
| ( ( organization @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(128,plain,
! [SV32: $i,SV28: $i,SV14: $i] :
( ( ( ( external_ties @ SV14 @ SV28 )
!= ( external_ties @ SV14 @ SV32 ) )
= $true )
| ( ( ( position @ SV14 @ SV28 )
= ( position @ SV14 @ SV32 ) )
= $true )
| ( ( organization @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(129,plain,
! [SV8: $i,SV29: $i,SV22: $i] :
( ( ( greater @ SV22 @ SV29 )
= $false )
| ( ( greater @ SV8 @ SV29 )
= $true )
| ( ( greater @ SV8 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(130,plain,
! [SV30: $i,SV24: $i,SV10: $i] :
( ( ( greater @ ( external_ties @ SV10 @ SV24 ) @ ( external_ties @ SV10 @ SV30 ) )
= $false )
| ( ( greater @ ( position @ SV10 @ SV24 ) @ ( position @ SV10 @ SV30 ) )
= $true )
| ( ( organization @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV31: $i,SV25: $i,SV11: $i] :
( ( ( greater @ ( age @ SV11 @ SV25 ) @ ( age @ SV11 @ SV31 ) )
= $false )
| ( ( greater @ ( external_ties @ SV11 @ SV25 ) @ ( external_ties @ SV11 @ SV31 ) )
= $true )
| ( ( organization @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(132,plain,
! [SV32: $i,SV28: $i,SV14: $i] :
( ( ( ( external_ties @ SV14 @ SV28 )
= ( external_ties @ SV14 @ SV32 ) )
= $false )
| ( ( ( position @ SV14 @ SV28 )
= ( position @ SV14 @ SV32 ) )
= $true )
| ( ( organization @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(133,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[39,132,131,130,129,120,119,118,116,115,112,109,108,107,105,72,60,40]) ).
thf(134,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.09/0.15 % Computer : n009.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Tue Oct 6 12:43:02 UTC 2026
% 0.09/0.15 % CPUTime :
% 0.09/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.22
% 0.09/0.22 No.of.Axioms: 17
% 0.09/0.22
% 0.09/0.22 Length.of.Defs: 0
% 0.09/0.22
% 0.09/0.22 Contains.Choice.Funs: false
% 0.09/0.22 ..
% 0.09/0.22
% 0.09/0.22 ********************************
% 0.09/0.22 * All subproblems solved! *
% 0.09/0.22 ********************************
% 0.09/0.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:17,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:133,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.22
% 0.09/0.22 %**** Beginning of derivation protocol ****
% 0.09/0.22 % SZS output start CNFRefutation
% See solution above
% 0.09/0.22
% 0.09/0.22 %**** End of derivation protocol ****
% 0.09/0.22 %**** no. of clauses in derivation: 134 ****
% 0.09/0.22 %**** clause counter: 133 ****
% 0.09/0.22
% 0.09/0.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:17,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:133,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------