%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS065+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n002.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 10:26:12 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.24s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 221 ( 59 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 258 ( 99 ~; 32 |; 9 &; 115 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 31 !; 6 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_ia,type,
ia: $i ).
thf(tp_ib,type,
ib: $i ).
thf(tp_rop,type,
rop: $i > $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
? [X: $i] :
( ( rop @ ib @ X )
& ( cowlNothing @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(2,axiom,
? [X: $i] :
( ( rop @ ia @ X )
& ( cowlNothing @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(3,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(4,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(5,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(6,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
$false = $false,
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ? [X: $i] :
( ( rop @ ib @ X )
& ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ? [X: $i] :
( ( rop @ ia @ X )
& ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(12,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ? [X: $i] :
( ( rop @ ia @ X )
& ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ? [X: $i] :
( ( rop @ ib @ X )
& ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(19,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( rop @ ia @ SX0 )
| ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(20,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(21,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( rop @ ib @ SX0 )
| ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(22,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV1: $i] :
( ( ~ ( ~ ( cowlThing @ SV1 )
| ~ ~ ( cowlNothing @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(24,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( rop @ ia @ SX0 )
| ~ ( cowlNothing @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(25,plain,
! [SV2: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV2 )
| ~ ( xsd_integer @ SV2 ) )
| ~ ( ~ ~ ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(26,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( rop @ ib @ SX0 )
| ~ ( cowlNothing @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV1: $i] :
( ( ~ ( cowlThing @ SV1 )
| ~ ~ ( cowlNothing @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ~ ( ~ ( rop @ ia @ sK1_SX0 )
| ~ ( cowlNothing @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(29,plain,
! [SV2: $i] :
( ( ~ ( ~ ( xsd_string @ SV2 )
| ~ ( xsd_integer @ SV2 ) )
| ~ ( ~ ~ ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ~ ( ~ ( rop @ ib @ sK2_SX0 )
| ~ ( cowlNothing @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(31,plain,
! [SV1: $i] :
( ( ~ ( cowlThing @ SV1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: $i] :
( ( ~ ~ ( cowlNothing @ SV1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ( ~ ( rop @ ia @ sK1_SX0 )
| ~ ( cowlNothing @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
! [SV2: $i] :
( ( ~ ( ~ ( xsd_string @ SV2 )
| ~ ( xsd_integer @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(35,plain,
! [SV2: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ~ ( rop @ ib @ sK2_SX0 )
| ~ ( cowlNothing @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(37,plain,
! [SV1: $i] :
( ( cowlThing @ SV1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
! [SV1: $i] :
( ( ~ ( cowlNothing @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(39,plain,
( ( ~ ( rop @ ia @ sK1_SX0 )
| ~ ( cowlNothing @ sK1_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV2: $i] :
( ( ~ ( xsd_string @ SV2 )
| ~ ( xsd_integer @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
! [SV2: $i] :
( ( ~ ~ ( xsd_integer @ SV2 )
| ( xsd_string @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ( rop @ ib @ sK2_SX0 )
| ~ ( cowlNothing @ sK2_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV1: $i] :
( ( cowlNothing @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ( rop @ ia @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ( cowlNothing @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( ~ ( xsd_string @ SV2 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV2: $i] :
( ( ( ~ ~ ( xsd_integer @ SV2 ) )
= $true )
| ( ( xsd_string @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ( rop @ ib @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(49,plain,
( ( ~ ( cowlNothing @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(50,plain,
( ( rop @ ia @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(51,plain,
( ( cowlNothing @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV2: $i] :
( ( ( xsd_string @ SV2 )
= $false )
| ( ( ~ ( xsd_integer @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV2: $i] :
( ( ( ~ ( xsd_integer @ SV2 ) )
= $false )
| ( ( xsd_string @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
( ( rop @ ib @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
( ( cowlNothing @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( xsd_integer @ SV2 )
= $false )
| ( ( xsd_string @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV2: $i] :
( ( ( xsd_integer @ SV2 )
= $true )
| ( ( xsd_string @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,57,56,55,54,51,50,43,37]) ).
thf(59,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS065+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.20 % Computer : n002.cluster.edu
% 0.13/0.20 % Model : x86_64 x86_64
% 0.13/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.20 % Memory : 8046.5625MB
% 0.13/0.20 % OS : Linux 6.8.0-71-generic
% 0.13/0.20 % CPULimit : 300
% 0.13/0.20 % WCLimit : 300
% 0.13/0.20 % DateTime : Tue Oct 6 11:43:42 UTC 2026
% 0.13/0.21 % CPUTime :
% 0.13/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.24
% 0.13/0.24 No.of.Axioms: 4
% 0.13/0.24
% 0.13/0.24 Length.of.Defs: 0
% 0.13/0.24
% 0.13/0.24 Contains.Choice.Funs: false
% 0.13/0.24
% 0.13/0.24 ********************************
% 0.13/0.24 * All subproblems solved! *
% 0.13/0.24 ********************************
% 0.13/0.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,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:58,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.24
% 0.13/0.24 %**** Beginning of derivation protocol ****
% 0.13/0.24 % SZS output start CNFRefutation
% See solution above
% 0.13/0.25
% 0.13/0.25 %**** End of derivation protocol ****
% 0.13/0.25 %**** no. of clauses in derivation: 59 ****
% 0.13/0.25 %**** clause counter: 58 ****
% 0.13/0.25
% 0.13/0.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,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:58,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------