%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT049+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 : 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 10:31:39 AM UTC 2026
% Result : Theorem 0.08s 0.21s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 107 ( 64 unt; 0 typ; 0 def)
% Number of atoms : 588 ( 217 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 1107 ( 159 ~; 155 |; 15 &; 751 @)
% ( 6 <=>; 21 =>; 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 : 234 ( 0 ^; 234 !; 0 ?; 234 :)
% 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_X,type,
sK1_X: $i ).
thf(tp_sK2_SY20,type,
sK2_SY20: $i ).
thf(tp_sK3_SY22,type,
sK3_SY22: $i ).
thf(tp_smaller,type,
smaller: $i > $i > $o ).
thf(tp_smaller_or_equal,type,
smaller_or_equal: $i > $i > $o ).
thf(1,axiom,
! [X: $i,T0: $i,T: $i] :
( ( organization @ X )
=> ( ( external_ties @ X @ T )
= ( external_ties @ X @ T0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11) ).
thf(2,axiom,
! [X: $i,T0: $i,T: $i] :
( ( organization @ X )
=> ( ( ( greater @ ( external_ties @ X @ T ) @ ( external_ties @ X @ T0 ) )
=> ( greater @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) )
& ( ( ( external_ties @ X @ T )
= ( external_ties @ X @ T0 ) )
=> ( ( position @ X @ T )
= ( position @ X @ T0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
thf(4,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
thf(5,axiom,
! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
<=> ( greater @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
thf(9,conjecture,
! [X: $i,T0: $i,T: $i] :
( ( ( organization @ X )
& ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
=> ( ( position @ X @ T )
= ( position @ X @ T0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_6) ).
thf(10,negated_conjecture,
( ( ! [X: $i,T0: $i,T: $i] :
( ( ( organization @ X )
& ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
=> ( ( position @ X @ T )
= ( position @ X @ T0 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ! [X: $i,T0: $i,T: $i] :
( ( ( organization @ X )
& ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
=> ( ( position @ X @ T )
= ( position @ X @ T0 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [X: $i,T0: $i,T: $i] :
( ( organization @ X )
=> ( ( external_ties @ X @ T )
= ( external_ties @ X @ T0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [X: $i,T0: $i,T: $i] :
( ( organization @ X )
=> ( ( ( greater @ ( external_ties @ X @ T ) @ ( external_ties @ X @ T0 ) )
=> ( greater @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) )
& ( ( ( external_ties @ X @ T )
= ( external_ties @ X @ T0 ) )
=> ( ( position @ X @ T )
= ( position @ X @ T0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( ! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
<=> ( greater @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ! [SY20: $i,SY21: $i] :
( ( ( organization @ sK1_X )
& ( greater @ ( age @ sK1_X @ SY21 ) @ ( age @ sK1_X @ SY20 ) ) )
=> ( ( position @ sK1_X @ SY21 )
= ( position @ sK1_X @ SY20 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(20,plain,
( ( ! [SY22: $i] :
( ( ( organization @ sK1_X )
& ( greater @ ( age @ sK1_X @ SY22 ) @ ( age @ sK1_X @ sK2_SY20 ) ) )
=> ( ( position @ sK1_X @ SY22 )
= ( position @ sK1_X @ sK2_SY20 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[19]) ).
thf(21,plain,
( ( ( ( organization @ sK1_X )
& ( greater @ ( age @ sK1_X @ sK3_SY22 ) @ ( age @ sK1_X @ sK2_SY20 ) ) )
=> ( ( position @ sK1_X @ sK3_SY22 )
= ( position @ sK1_X @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(22,plain,
( ( organization @ sK1_X )
= $true ),
inference(standard_cnf,[status(thm)],[21]) ).
thf(23,plain,
( ( greater @ ( age @ sK1_X @ sK3_SY22 ) @ ( age @ sK1_X @ sK2_SY20 ) )
= $true ),
inference(standard_cnf,[status(thm)],[21]) ).
thf(24,plain,
( ( ( position @ sK1_X @ sK3_SY22 )
= ( position @ sK1_X @ sK2_SY20 ) )
= $false ),
inference(standard_cnf,[status(thm)],[21]) ).
thf(25,plain,
( ( ( position @ sK1_X @ sK3_SY22 )
!= ( position @ sK1_X @ sK2_SY20 ) )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
<=> ( greater @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(31,plain,
( ( ! [X: $i,T0: $i,T: $i] :
( ( organization @ X )
=> ( ( ( greater @ ( external_ties @ X @ T ) @ ( external_ties @ X @ T0 ) )
=> ( greater @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) )
& ( ( ( external_ties @ X @ T )
= ( external_ties @ X @ T0 ) )
=> ( ( position @ X @ T )
= ( position @ X @ T0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(32,plain,
( ( ! [X: $i,T0: $i,T: $i] :
( ( organization @ X )
=> ( ( external_ties @ X @ T )
= ( external_ties @ X @ T0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(33,plain,
( ( greater @ ( age @ sK1_X @ sK3_SY22 ) @ ( age @ sK1_X @ sK2_SY20 ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(34,plain,
( ( organization @ sK1_X )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(35,plain,
( ( ( position @ sK1_X @ sK3_SY22 )
!= ( position @ sK1_X @ sK2_SY20 ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(36,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( greater @ SX0 @ SX1 )
| ~ ( greater @ SX1 @ SX2 ) )
| ( greater @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(37,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( greater @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( ~ ( ( greater @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(38,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ( greater @ SX0 @ SX1 )
| ~ ( greater @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(39,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( organization @ SX0 )
| ~ ( ~ ( ~ ( greater @ ( external_ties @ SX0 @ SX2 ) @ ( external_ties @ SX0 @ SX1 ) )
| ( greater @ ( position @ SX0 @ SX2 ) @ ( position @ SX0 @ SX1 ) ) )
| ~ ( ( ( external_ties @ SX0 @ SX2 )
!= ( external_ties @ SX0 @ SX1 ) )
| ( ( position @ SX0 @ SX2 )
= ( position @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(40,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) )
| ~ ( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(41,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( organization @ SX0 )
| ( ( external_ties @ SX0 @ SX2 )
= ( external_ties @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(42,plain,
! [SV1: $i] :
( ( ! [SY23: $i] :
( ( smaller @ SV1 @ SY23 )
| ( SV1 = SY23 )
| ( greater @ SV1 @ SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(43,plain,
( ( ( position @ sK1_X @ sK3_SY22 )
= ( position @ sK1_X @ sK2_SY20 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV2: $i] :
( ( ! [SY24: $i,SY25: $i] :
( ~ ~ ( ~ ( greater @ SV2 @ SY24 )
| ~ ( greater @ SY24 @ SY25 ) )
| ( greater @ SV2 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV3: $i] :
( ( ! [SY26: $i] :
~ ( ~ ( ~ ( greater_or_equal @ SV3 @ SY26 )
| ( greater @ SV3 @ SY26 )
| ( SV3 = SY26 ) )
| ~ ( ~ ( ( greater @ SV3 @ SY26 )
| ( SV3 = SY26 ) )
| ( greater_or_equal @ SV3 @ SY26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(46,plain,
! [SV4: $i] :
( ( ! [SY27: $i] :
~ ~ ( ~ ( greater @ SV4 @ SY27 )
| ~ ( greater @ SY27 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV5: $i] :
( ( ! [SY28: $i,SY29: $i] :
( ~ ( organization @ SV5 )
| ~ ( ~ ( ~ ( greater @ ( external_ties @ SV5 @ SY29 ) @ ( external_ties @ SV5 @ SY28 ) )
| ( greater @ ( position @ SV5 @ SY29 ) @ ( position @ SV5 @ SY28 ) ) )
| ~ ( ( ( external_ties @ SV5 @ SY29 )
!= ( external_ties @ SV5 @ SY28 ) )
| ( ( position @ SV5 @ SY29 )
= ( position @ SV5 @ SY28 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(48,plain,
! [SV6: $i] :
( ( ! [SY30: $i] :
~ ( ~ ( ~ ( smaller @ SV6 @ SY30 )
| ( greater @ SY30 @ SV6 ) )
| ~ ( ~ ( greater @ SY30 @ SV6 )
| ( smaller @ SV6 @ SY30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV7: $i] :
( ( ! [SY31: $i,SY32: $i] :
( ~ ( organization @ SV7 )
| ( ( external_ties @ SV7 @ SY32 )
= ( external_ties @ SV7 @ SY31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV8: $i,SV1: $i] :
( ( ( smaller @ SV1 @ SV8 )
| ( SV1 = SV8 )
| ( greater @ SV1 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV9: $i,SV2: $i] :
( ( ! [SY33: $i] :
( ~ ~ ( ~ ( greater @ SV2 @ SV9 )
| ~ ( greater @ SV9 @ SY33 ) )
| ( greater @ SV2 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( greater_or_equal @ SV3 @ SV10 )
| ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
| ~ ( ~ ( ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
| ( greater_or_equal @ SV3 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV11: $i,SV4: $i] :
( ( ~ ~ ( ~ ( greater @ SV4 @ SV11 )
| ~ ( greater @ SV11 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV12: $i,SV5: $i] :
( ( ! [SY34: $i] :
( ~ ( organization @ SV5 )
| ~ ( ~ ( ~ ( greater @ ( external_ties @ SV5 @ SY34 ) @ ( external_ties @ SV5 @ SV12 ) )
| ( greater @ ( position @ SV5 @ SY34 ) @ ( position @ SV5 @ SV12 ) ) )
| ~ ( ( ( external_ties @ SV5 @ SY34 )
!= ( external_ties @ SV5 @ SV12 ) )
| ( ( position @ SV5 @ SY34 )
= ( position @ SV5 @ SV12 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( ~ ( ~ ( smaller @ SV6 @ SV13 )
| ( greater @ SV13 @ SV6 ) )
| ~ ( ~ ( greater @ SV13 @ SV6 )
| ( smaller @ SV6 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV14: $i,SV7: $i] :
( ( ! [SY35: $i] :
( ~ ( organization @ SV7 )
| ( ( external_ties @ SV7 @ SY35 )
= ( external_ties @ SV7 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV8: $i,SV1: $i] :
( ( ( ( smaller @ SV1 @ SV8 )
| ( SV1 = SV8 ) )
= $true )
| ( ( greater @ SV1 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ~ ~ ( ~ ( greater @ SV2 @ SV9 )
| ~ ( greater @ SV9 @ SV15 ) )
| ( greater @ SV2 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ~ ( greater_or_equal @ SV3 @ SV10 )
| ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
| ~ ( ~ ( ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
| ( greater_or_equal @ SV3 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV11: $i,SV4: $i] :
( ( ~ ( ~ ( greater @ SV4 @ SV11 )
| ~ ( greater @ SV11 @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ~ ( organization @ SV5 )
| ~ ( ~ ( ~ ( greater @ ( external_ties @ SV5 @ SV16 ) @ ( external_ties @ SV5 @ SV12 ) )
| ( greater @ ( position @ SV5 @ SV16 ) @ ( position @ SV5 @ SV12 ) ) )
| ~ ( ( ( external_ties @ SV5 @ SV16 )
!= ( external_ties @ SV5 @ SV12 ) )
| ( ( position @ SV5 @ SV16 )
= ( position @ SV5 @ SV12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( ~ ( smaller @ SV6 @ SV13 )
| ( greater @ SV13 @ SV6 ) )
| ~ ( ~ ( greater @ SV13 @ SV6 )
| ( smaller @ SV6 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV14: $i,SV17: $i,SV7: $i] :
( ( ~ ( organization @ SV7 )
| ( ( external_ties @ SV7 @ SV17 )
= ( external_ties @ SV7 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV8: $i,SV1: $i] :
( ( ( smaller @ SV1 @ SV8 )
= $true )
| ( ( SV1 = SV8 )
= $true )
| ( ( greater @ SV1 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( greater @ SV2 @ SV9 )
| ~ ( greater @ SV9 @ SV15 ) ) )
= $true )
| ( ( greater @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ~ ( greater_or_equal @ SV3 @ SV10 )
| ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ~ ( ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
| ( greater_or_equal @ SV3 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(68,plain,
! [SV11: $i,SV4: $i] :
( ( ~ ( greater @ SV4 @ SV11 )
| ~ ( greater @ SV11 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( organization @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( greater @ ( external_ties @ SV5 @ SV16 ) @ ( external_ties @ SV5 @ SV12 ) )
| ( greater @ ( position @ SV5 @ SV16 ) @ ( position @ SV5 @ SV12 ) ) )
| ~ ( ( ( external_ties @ SV5 @ SV16 )
!= ( external_ties @ SV5 @ SV12 ) )
| ( ( position @ SV5 @ SV16 )
= ( position @ SV5 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( ~ ( smaller @ SV6 @ SV13 )
| ( greater @ SV13 @ SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(71,plain,
! [SV6: $i,SV13: $i] :
( ( ~ ( ~ ( greater @ SV13 @ SV6 )
| ( smaller @ SV6 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(72,plain,
! [SV14: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( organization @ SV7 ) )
= $true )
| ( ( ( external_ties @ SV7 @ SV17 )
= ( external_ties @ SV7 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(73,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( ~ ( greater @ SV2 @ SV9 )
| ~ ( greater @ SV9 @ SV15 ) ) )
= $false )
| ( ( greater @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( greater_or_equal @ SV3 @ SV10 )
| ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(75,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
| ( greater_or_equal @ SV3 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(76,plain,
! [SV11: $i,SV4: $i] :
( ( ( ~ ( greater @ SV4 @ SV11 ) )
= $true )
| ( ( ~ ( greater @ SV11 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( organization @ SV5 )
= $false )
| ( ( ~ ( ~ ( ~ ( greater @ ( external_ties @ SV5 @ SV16 ) @ ( external_ties @ SV5 @ SV12 ) )
| ( greater @ ( position @ SV5 @ SV16 ) @ ( position @ SV5 @ SV12 ) ) )
| ~ ( ( ( external_ties @ SV5 @ SV16 )
!= ( external_ties @ SV5 @ SV12 ) )
| ( ( position @ SV5 @ SV16 )
= ( position @ SV5 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(78,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( smaller @ SV6 @ SV13 )
| ( greater @ SV13 @ SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(79,plain,
! [SV6: $i,SV13: $i] :
( ( ~ ( greater @ SV13 @ SV6 )
| ( smaller @ SV6 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(80,plain,
! [SV14: $i,SV17: $i,SV7: $i] :
( ( ( organization @ SV7 )
= $false )
| ( ( ( external_ties @ SV7 @ SV17 )
= ( external_ties @ SV7 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( greater @ SV2 @ SV9 )
| ~ ( greater @ SV9 @ SV15 ) )
= $true )
| ( ( greater @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( greater_or_equal @ SV3 @ SV10 ) )
= $true )
| ( ( ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) ) )
= $true )
| ( ( greater_or_equal @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV11: $i,SV4: $i] :
( ( ( greater @ SV4 @ SV11 )
= $false )
| ( ( ~ ( greater @ SV11 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( ~ ( greater @ ( external_ties @ SV5 @ SV16 ) @ ( external_ties @ SV5 @ SV12 ) )
| ( greater @ ( position @ SV5 @ SV16 ) @ ( position @ SV5 @ SV12 ) ) )
| ~ ( ( ( external_ties @ SV5 @ SV16 )
!= ( external_ties @ SV5 @ SV12 ) )
| ( ( position @ SV5 @ SV16 )
= ( position @ SV5 @ SV12 ) ) ) )
= $false )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(86,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ ( smaller @ SV6 @ SV13 ) )
= $true )
| ( ( greater @ SV13 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV6: $i,SV13: $i] :
( ( ( ~ ( greater @ SV13 @ SV6 ) )
= $true )
| ( ( smaller @ SV6 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( greater @ SV2 @ SV9 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV15 ) )
= $true )
| ( ( greater @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(89,plain,
! [SV10: $i,SV3: $i] :
( ( ( greater_or_equal @ SV3 @ SV10 )
= $false )
| ( ( ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(90,plain,
! [SV10: $i,SV3: $i] :
( ( ( ( greater @ SV3 @ SV10 )
| ( SV3 = SV10 ) )
= $false )
| ( ( greater_or_equal @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(91,plain,
! [SV4: $i,SV11: $i] :
( ( ( greater @ SV11 @ SV4 )
= $false )
| ( ( greater @ SV4 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(92,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( ~ ( greater @ ( external_ties @ SV5 @ SV16 ) @ ( external_ties @ SV5 @ SV12 ) )
| ( greater @ ( position @ SV5 @ SV16 ) @ ( position @ SV5 @ SV12 ) ) ) )
= $false )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(93,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( ( ( external_ties @ SV5 @ SV16 )
!= ( external_ties @ SV5 @ SV12 ) )
| ( ( position @ SV5 @ SV16 )
= ( position @ SV5 @ SV12 ) ) ) )
= $false )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(94,plain,
! [SV13: $i,SV6: $i] :
( ( ( smaller @ SV6 @ SV13 )
= $false )
| ( ( greater @ SV13 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(95,plain,
! [SV6: $i,SV13: $i] :
( ( ( greater @ SV13 @ SV6 )
= $false )
| ( ( smaller @ SV6 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(96,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ( greater @ SV2 @ SV9 )
= $false )
| ( ( ~ ( greater @ SV9 @ SV15 ) )
= $true )
| ( ( greater @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV10: $i,SV3: $i] :
( ( ( greater @ SV3 @ SV10 )
= $true )
| ( ( SV3 = SV10 )
= $true )
| ( ( greater_or_equal @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV10: $i,SV3: $i] :
( ( ( greater @ SV3 @ SV10 )
= $false )
| ( ( greater_or_equal @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(99,plain,
! [SV10: $i,SV3: $i] :
( ( ( SV3 = SV10 )
= $false )
| ( ( greater_or_equal @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(100,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( greater @ ( external_ties @ SV5 @ SV16 ) @ ( external_ties @ SV5 @ SV12 ) )
| ( greater @ ( position @ SV5 @ SV16 ) @ ( position @ SV5 @ SV12 ) ) )
= $true )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(101,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ( ( external_ties @ SV5 @ SV16 )
!= ( external_ties @ SV5 @ SV12 ) )
| ( ( position @ SV5 @ SV16 )
= ( position @ SV5 @ SV12 ) ) )
= $true )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(102,plain,
! [SV2: $i,SV15: $i,SV9: $i] :
( ( ( greater @ SV9 @ SV15 )
= $false )
| ( ( greater @ SV2 @ SV9 )
= $false )
| ( ( greater @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(103,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( greater @ ( external_ties @ SV5 @ SV16 ) @ ( external_ties @ SV5 @ SV12 ) ) )
= $true )
| ( ( greater @ ( position @ SV5 @ SV16 ) @ ( position @ SV5 @ SV12 ) )
= $true )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(104,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ( external_ties @ SV5 @ SV16 )
!= ( external_ties @ SV5 @ SV12 ) )
= $true )
| ( ( ( position @ SV5 @ SV16 )
= ( position @ SV5 @ SV12 ) )
= $true )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(105,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( greater @ ( external_ties @ SV5 @ SV16 ) @ ( external_ties @ SV5 @ SV12 ) )
= $false )
| ( ( greater @ ( position @ SV5 @ SV16 ) @ ( position @ SV5 @ SV12 ) )
= $true )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(106,plain,
! [SV12: $i,SV16: $i,SV5: $i] :
( ( ( ( external_ties @ SV5 @ SV16 )
= ( external_ties @ SV5 @ SV12 ) )
= $false )
| ( ( ( position @ SV5 @ SV16 )
= ( position @ SV5 @ SV12 ) )
= $true )
| ( ( organization @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(107,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,106,105,102,99,98,97,95,94,91,80,64,43,34]) ).
thf(108,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT049+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
% 0.08/0.16 % Computer : n006.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Oct 6 12:42:52 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.21
% 0.08/0.21 No.of.Axioms: 7
% 0.08/0.21
% 0.08/0.21 Length.of.Defs: 0
% 0.08/0.21
% 0.08/0.21 Contains.Choice.Funs: false
% 0.08/0.21 ...
% 0.08/0.21
% 0.08/0.21 ********************************
% 0.08/0.21 * All subproblems solved! *
% 0.08/0.21 ********************************
% 0.08/0.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:9,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:107,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.21
% 0.08/0.21 %**** Beginning of derivation protocol ****
% 0.08/0.21 % SZS output start CNFRefutation
% See solution above
% 0.08/0.21
% 0.08/0.21 %**** End of derivation protocol ****
% 0.08/0.21 %**** no. of clauses in derivation: 107 ****
% 0.08/0.21 %**** clause counter: 107 ****
% 0.08/0.21
% 0.08/0.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:9,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:107,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------