%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR153^1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n019.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 10:16:19 AM UTC 2026
% Result : Theorem 0.25s 0.32s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 87 ( 67 unt; 0 typ; 0 def)
% Number of atoms : 339 ( 172 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 478 ( 175 ~; 58 |; 29 &; 216 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 59 ( 0 ^; 55 !; 4 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_brother_THFTYPE_IiioI,type,
brother_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_sister_THFTYPE_IiioI,type,
sister_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
lBob_THFTYPE_i != lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(2,axiom,
( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
& ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(3,axiom,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(4,axiom,
( ( lMary_THFTYPE_i != lSue_THFTYPE_i )
& ( lMary_THFTYPE_i != lBill_THFTYPE_i )
& ( lBob_THFTYPE_i != lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(5,axiom,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(6,conjecture,
? [R: $i > $i > $o] :
( ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X: $i,Y: $i] : ( R @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(7,negated_conjecture,
( ( ? [R: $i > $i > $o] :
( ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ? [R: $i > $i > $o] :
( ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
& ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,plain,
( ( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ( lMary_THFTYPE_i != lSue_THFTYPE_i )
& ( lMary_THFTYPE_i != lBill_THFTYPE_i )
& ( lBob_THFTYPE_i != lMary_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(14,plain,
( ( ~ ? [R: $i > $i > $o] :
( ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [R: $i > $i > $o] :
( ~ ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(16,plain,
( ( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(17,plain,
( ( ( lMary_THFTYPE_i != lSue_THFTYPE_i )
& ( lMary_THFTYPE_i != lBill_THFTYPE_i )
& ( lBob_THFTYPE_i != lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(19,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
& ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(20,plain,
( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(21,plain,
( ( ! [R: $i > $i > $o] :
( ~ ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(22,plain,
( ( ~ ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
| ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(23,plain,
( ( ~ ( ~ ~ ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) )
| ~ ( ( lBob_THFTYPE_i != lMary_THFTYPE_i ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(24,plain,
( ( ~ ( ~ ~ ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(25,plain,
( ( ~ ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) )
| ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(26,plain,
( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(27,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(28,plain,
( ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
| ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(29,plain,
( ( ~ ~ ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) )
| ~ ( ( lBob_THFTYPE_i != lMary_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(30,plain,
( ( ~ ~ ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(31,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) )
| ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(32,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $true )
| ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ~ ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ( lBob_THFTYPE_i != lMary_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(37,plain,
( ( ~ ~ ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(38,plain,
( ( ~ ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(39,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(40,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(41,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $true )
| ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(42,plain,
( ( ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(43,plain,
( ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(44,plain,
( ( ~ ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(45,plain,
( ( lBob_THFTYPE_i != lMary_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(46,plain,
( ( ~ ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(47,plain,
( ( ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(48,plain,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(49,plain,
( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(50,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $true )
| ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(51,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(52,plain,
( ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(53,plain,
( ( lBob_THFTYPE_i = lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(54,plain,
( ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(55,plain,
( ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(56,plain,
( ( lSue_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(57,plain,
( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $false )
| ( ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(59,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(60,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(61,plain,
( ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
( ( ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(63,plain,
( ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(64,plain,
( ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(65,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY5: $i] : ( SV1 @ SV2 @ SY5 ) )
= $true )
| ( ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(66,plain,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(68,plain,
( ( lMary_THFTYPE_i != lSue_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(69,plain,
( ( lMary_THFTYPE_i != lBill_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(70,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(71,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(72,plain,
! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ SV3 )
= $true )
| ( ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(73,plain,
( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(74,plain,
( ( lMary_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
( ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(76,plain,
( ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV3: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( SV8 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( ~ ( SV8 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV1,$thf( ^ [SV6: $i] : ^ [SV7: $i] : ~ ( SV8 @ SV6 @ SV7 ) ))]]) ).
thf(80,plain,
! [SV3: $i,SV2: $i] :
( ( ( SV2 != SV3 )
= $true )
| ( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
= $false ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV1,$thf( ^ [SY6: $i] : ^ [SY7: $i] : ( SY6 != SY7 ) ))]]) ).
thf(82,plain,
! [SV3: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( SV8 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( ~ ( SV8 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV3: $i,SV2: $i] :
( ( ( SV2 = SV3 )
= $false )
| ( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(84,plain,
! [SV3: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( SV8 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( SV8 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(85,plain,
! [SV3: $i,SV2: $i] :
( ( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $true )
| ( ( SV2 = SV3 )
= $false )
| ( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(86,plain,
! [SV3: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $true )
| ( ( SV8 @ SV2 @ SV3 )
= $false )
| ( ( SV8 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(87,plain,
! [SV3: $i,SV2: $i] :
( ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
= $true )
| ( ( SV2 = SV3 )
= $false )
| ( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(88,plain,
( ( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $true )
| ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[87:[bind(SV2,$thf( SV3 ))]]) ).
thf(89,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,88,86,76,75,74,73,72,67,66,57,56,55,53,43]) ).
thf(90,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR153^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.21 % Computer : n019.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Oct 6 18:56:01 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.32
% 0.25/0.32 No.of.Axioms: 5
% 0.25/0.32
% 0.25/0.32 Length.of.Defs: 0
% 0.25/0.32
% 0.25/0.32 Contains.Choice.Funs: false
% 0.25/0.32 .
% 0.25/0.32
% 0.25/0.32 ********************************
% 0.25/0.32 * All subproblems solved! *
% 0.25/0.32 ********************************
% 0.25/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:89,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.25/0.32
% 0.25/0.32 %**** Beginning of derivation protocol ****
% 0.25/0.32 % SZS output start CNFRefutation
% See solution above
% 0.25/0.32
% 0.25/0.32 %**** End of derivation protocol ****
% 0.25/0.32 %**** no. of clauses in derivation: 87 ****
% 0.25/0.32 %**** clause counter: 89 ****
% 0.25/0.32
% 0.25/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:89,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------