%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR140^2 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 10:16:12 AM UTC 2026
% Result : Theorem 0.41s 0.35s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 39 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 248 ( 103 ~; 16 |; 5 &; 124 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 15 con; 0-3 aty)
% Number of variables : 63 ( 0 ^; 48 !; 15 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_attribute_THFTYPE_i,type,
attribute_THFTYPE_i: $i ).
thf(tp_domain_THFTYPE_IIiioIiioI,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IiiioI,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_equal_THFTYPE_i,type,
equal_THFTYPE_i: $i ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_instance_THFTYPE_IIiioIioI,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiooIioI,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IiioI,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(tp_lAsymmetricRelation_THFTYPE_i,type,
lAsymmetricRelation_THFTYPE_i: $i ).
thf(tp_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lBinaryPredicate_THFTYPE_i,type,
lBinaryPredicate_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_lOrganism_THFTYPE_i,type,
lOrganism_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_n1_THFTYPE_i,type,
n1_THFTYPE_i: $i ).
thf(tp_n2_THFTYPE_i,type,
n2_THFTYPE_i: $i ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_range_THFTYPE_IiioI,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subclass_THFTYPE_IiioI,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subrelation_THFTYPE_IIioIIioIoI,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(tp_subrelation_THFTYPE_IiioI,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(18,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026) ).
thf(19,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_025) ).
thf(31,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_013) ).
thf(32,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_012) ).
thf(39,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(40,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(45,conjecture,
? [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ X @ lAnna_THFTYPE_i )
& ~ ( R @ Y @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(46,negated_conjecture,
( ( ? [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ X @ lAnna_THFTYPE_i )
& ~ ( R @ Y @ lAnna_THFTYPE_i ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[45]) ).
thf(47,plain,
( ( ? [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ X @ lAnna_THFTYPE_i )
& ~ ( R @ Y @ lAnna_THFTYPE_i ) ) )
= $false ),
inference(unfold_def,[status(thm)],[46]) ).
thf(48,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(49,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(50,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(51,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(52,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(53,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(54,plain,
( ( ~ ? [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ X @ lAnna_THFTYPE_i )
& ~ ( R @ Y @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(55,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(56,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(57,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(58,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(59,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(60,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(61,plain,
( ( ~ ? [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ X @ lAnna_THFTYPE_i )
& ~ ( R @ Y @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(62,plain,
( ( ~ ~ ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SX0 @ SX1 @ lAnna_THFTYPE_i )
| ~ ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(63,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(64,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
( ( ~ ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SX0 @ SX1 @ lAnna_THFTYPE_i )
| ~ ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(66,plain,
( ( ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SX0 @ SX1 @ lAnna_THFTYPE_i )
| ~ ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(67,plain,
! [SV1: $i > $i > $o] :
( ( ~ ~ ! [SY3: $i] :
~ ~ ! [SY4: $i] :
~ ~ ( ~ ( SV1 @ SY3 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SY4 @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(68,plain,
! [SV1: $i > $i > $o] :
( ( ~ ! [SY3: $i] :
~ ~ ! [SY4: $i] :
~ ~ ( ~ ( SV1 @ SY3 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SY4 @ lAnna_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(69,plain,
! [SV1: $i > $i > $o] :
( ( ! [SY3: $i] :
~ ~ ! [SY4: $i] :
~ ~ ( ~ ( SV1 @ SY3 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SY4 @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(70,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ~ ~ ! [SY5: $i] :
~ ~ ( ~ ( SV1 @ SV2 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SY5 @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(71,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ~ ! [SY5: $i] :
~ ~ ( ~ ( SV1 @ SV2 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SY5 @ lAnna_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(72,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ! [SY5: $i] :
~ ~ ( ~ ( SV1 @ SV2 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SY5 @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(73,plain,
! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ~ ~ ( ~ ( SV1 @ SV2 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(74,plain,
! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ~ ( ~ ( SV1 @ SV2 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(75,plain,
! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ~ ( SV1 @ SV2 @ lAnna_THFTYPE_i )
| ~ ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(76,plain,
! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV2 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(77,plain,
! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(78,plain,
! [SV2: $i,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( SV1 @ SV2 @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(79,plain,
! [SV2: $i,SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $true )
| ( ( SV1 @ SV2 @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(80,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[55,79,64,63,58,57,56]) ).
thf(81,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR140^2 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.23 % Computer : n007.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Oct 6 18:53:30 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.35
% 0.41/0.35 No.of.Axioms: 6
% 0.41/0.35
% 0.41/0.35 Length.of.Defs: 0
% 0.41/0.35
% 0.41/0.35 Contains.Choice.Funs: false
% 0.41/0.35 .
% 0.41/0.35
% 0.41/0.35 ********************************
% 0.41/0.35 * All subproblems solved! *
% 0.41/0.35 ********************************
% 0.41/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:6,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:80,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.41/0.35
% 0.41/0.35 %**** Beginning of derivation protocol ****
% 0.41/0.35 % SZS output start CNFRefutation
% See solution above
% 0.41/0.35
% 0.41/0.35 %**** End of derivation protocol ****
% 0.41/0.35 %**** no. of clauses in derivation: 43 ****
% 0.41/0.35 %**** clause counter: 80 ****
% 0.41/0.35
% 0.41/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:6,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:80,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------