%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR069+1 : TPTP v9.3.1. Released v3.4.0.
% 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 10:15:14 AM UTC 2026
% Result : Theorem 0.35s 0.30s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 180 ( 49 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 183 ( 20 ~; 18 |; 0 &; 130 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_binarypredicate,type,
binarypredicate: $i > $o ).
thf(tp_borderson,type,
borderson: $i > $i > $o ).
thf(tp_c_basekb,type,
c_basekb: $i ).
thf(tp_c_georegion_l4_x38_y24,type,
c_georegion_l4_x38_y24: $i ).
thf(tp_c_georegion_l4_x39_y24,type,
c_georegion_l4_x39_y24: $i ).
thf(tp_c_tptpgeo_member1_mt,type,
c_tptpgeo_member1_mt: $i ).
thf(tp_collection,type,
collection: $i > $o ).
thf(tp_disjointwith,type,
disjointwith: $i > $i > $o ).
thf(tp_genlinverse,type,
genlinverse: $i > $i > $o ).
thf(tp_genlpreds,type,
genlpreds: $i > $i > $o ).
thf(tp_genls,type,
genls: $i > $i > $o ).
thf(tp_geographicalregion,type,
geographicalregion: $i > $o ).
thf(tp_isa,type,
isa: $i > $i > $o ).
thf(tp_mtvisible,type,
mtvisible: $i > $o ).
thf(tp_predicate,type,
predicate: $i > $o ).
thf(tp_thing,type,
thing: $i > $o ).
thf(1,axiom,
! [X: $i] :
~ ( borderson @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( borderson @ X @ Y )
=> ( borderson @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
thf(3,axiom,
! [INS: $i,ARG2: $i] :
( ( borderson @ INS @ ARG2 )
=> ( geographicalregion @ INS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
thf(4,axiom,
! [ARG1: $i,INS: $i] :
( ( borderson @ ARG1 @ INS )
=> ( geographicalregion @ INS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).
thf(5,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
thf(29,axiom,
( ( mtvisible @ c_tptpgeo_member1_mt )
=> ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(30,conjecture,
( ( mtvisible @ c_tptpgeo_member1_mt )
=> ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query69) ).
thf(31,negated_conjecture,
( ( ( mtvisible @ c_tptpgeo_member1_mt )
=> ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[30]) ).
thf(32,plain,
( ( ( mtvisible @ c_tptpgeo_member1_mt )
=> ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) )
= $false ),
inference(unfold_def,[status(thm)],[31]) ).
thf(33,plain,
( ( ! [X: $i] :
~ ( borderson @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ( borderson @ X @ Y )
=> ( borderson @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(35,plain,
( ( ! [INS: $i,ARG2: $i] :
( ( borderson @ INS @ ARG2 )
=> ( geographicalregion @ INS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(36,plain,
( ( ! [ARG1: $i,INS: $i] :
( ( borderson @ ARG1 @ INS )
=> ( geographicalregion @ INS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(37,plain,
( ( mtvisible @ c_basekb )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(38,plain,
( ( ( mtvisible @ c_tptpgeo_member1_mt )
=> ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(39,plain,
( ( mtvisible @ c_tptpgeo_member1_mt )
= $true ),
inference(standard_cnf,[status(thm)],[32]) ).
thf(40,plain,
( ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 )
= $false ),
inference(standard_cnf,[status(thm)],[32]) ).
thf(41,plain,
( ( ~ ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) )
= $true ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(42,plain,
( ( ( mtvisible @ c_tptpgeo_member1_mt )
=> ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(43,plain,
( ( mtvisible @ c_basekb )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(44,plain,
( ( ! [ARG1: $i,INS: $i] :
( ( borderson @ ARG1 @ INS )
=> ( geographicalregion @ INS ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(45,plain,
( ( ! [INS: $i,ARG2: $i] :
( ( borderson @ INS @ ARG2 )
=> ( geographicalregion @ INS ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i] :
( ( borderson @ X @ Y )
=> ( borderson @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(47,plain,
( ( ! [X: $i] :
~ ( borderson @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(48,plain,
( ( mtvisible @ c_tptpgeo_member1_mt )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(49,plain,
( ( ~ ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(50,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( borderson @ SX0 @ SX1 )
| ( borderson @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(51,plain,
( ( ~ ( mtvisible @ c_tptpgeo_member1_mt )
| ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(52,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( borderson @ SX0 @ SX1 )
| ( geographicalregion @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(53,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( borderson @ SX0 @ SX1 )
| ( geographicalregion @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(54,plain,
! [SV1: $i] :
( ( ~ ( borderson @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(55,plain,
( ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV2: $i] :
( ( ! [SY7: $i] :
( ~ ( borderson @ SV2 @ SY7 )
| ( borderson @ SY7 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
( ( ( ~ ( mtvisible @ c_tptpgeo_member1_mt ) )
= $true )
| ( ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV3: $i] :
( ( ! [SY8: $i] :
( ~ ( borderson @ SV3 @ SY8 )
| ( geographicalregion @ SY8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV4: $i] :
( ( ! [SY9: $i] :
( ~ ( borderson @ SV4 @ SY9 )
| ( geographicalregion @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV1: $i] :
( ( borderson @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( borderson @ SV2 @ SV5 )
| ( borderson @ SV5 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(62,plain,
( ( ( mtvisible @ c_tptpgeo_member1_mt )
= $false )
| ( ( borderson @ c_georegion_l4_x38_y24 @ c_georegion_l4_x39_y24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( borderson @ SV3 @ SV6 )
| ( geographicalregion @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV7: $i,SV4: $i] :
( ( ~ ( borderson @ SV4 @ SV7 )
| ( geographicalregion @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(65,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ( borderson @ SV2 @ SV5 ) )
= $true )
| ( ( borderson @ SV5 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( borderson @ SV3 @ SV6 ) )
= $true )
| ( ( geographicalregion @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(67,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( borderson @ SV4 @ SV7 ) )
= $true )
| ( ( geographicalregion @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(68,plain,
! [SV5: $i,SV2: $i] :
( ( ( borderson @ SV2 @ SV5 )
= $false )
| ( ( borderson @ SV5 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
! [SV6: $i,SV3: $i] :
( ( ( borderson @ SV3 @ SV6 )
= $false )
| ( ( geographicalregion @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(70,plain,
! [SV7: $i,SV4: $i] :
( ( ( borderson @ SV4 @ SV7 )
= $false )
| ( ( geographicalregion @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(71,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[43,70,69,68,62,60,55,48]) ).
thf(72,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+1 : TPTP v9.3.1. Released v3.4.0.
% 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
% 0.07/0.20 % Computer : n006.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 18:46:22 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.30
% 0.35/0.30 No.of.Axioms: 6
% 0.35/0.30
% 0.35/0.30 Length.of.Defs: 0
% 0.35/0.30
% 0.35/0.30 Contains.Choice.Funs: false
% 0.35/0.30 .
% 0.35/0.30
% 0.35/0.30 ********************************
% 0.35/0.30 * All subproblems solved! *
% 0.35/0.30 ********************************
% 0.35/0.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:7,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:71,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.35/0.30
% 0.35/0.30 %**** Beginning of derivation protocol ****
% 0.35/0.30 % SZS output start CNFRefutation
% See solution above
% 0.35/0.30
% 0.35/0.30 %**** End of derivation protocol ****
% 0.35/0.30 %**** no. of clauses in derivation: 49 ****
% 0.35/0.30 %**** clause counter: 71 ****
% 0.35/0.30
% 0.35/0.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:7,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:71,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------