%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 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 10:50:37 AM UTC 2026
% Result : Theorem 0.10s 0.19s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 164 ( 63 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 287 ( 50 ~; 29 |; 10 &; 196 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-3 aty)
% Number of variables : 46 ( 0 ^; 44 !; 2 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dat_str_abc,type,
dat_str_abc: $i ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_literal_plain,type,
literal_plain: $i > $i ).
thf(tp_sK1_BNODE_x,type,
sK1_BNODE_x: $i ).
thf(tp_uri_ex_u,type,
uri_ex_u: $i ).
thf(tp_uri_ex_w,type,
uri_ex_w: $i ).
thf(tp_uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
thf(1,axiom,
? [BNODE_x: $i] :
( ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
& ( iext @ uri_owl_sameAs @ BNODE_x @ ( literal_plain @ dat_str_abc ) )
& ( iext @ uri_owl_sameAs @ BNODE_x @ uri_ex_w ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(3,conjecture,
iext @ uri_owl_sameAs @ uri_ex_u @ uri_ex_w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).
thf(4,negated_conjecture,
( ( iext @ uri_owl_sameAs @ uri_ex_u @ uri_ex_w )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_u @ uri_ex_w )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ? [BNODE_x: $i] :
( ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
& ( iext @ uri_owl_sameAs @ BNODE_x @ ( literal_plain @ dat_str_abc ) )
& ( iext @ uri_owl_sameAs @ BNODE_x @ uri_ex_w ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_u @ uri_ex_w ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
& ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) )
& ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ uri_ex_w ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(11,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
& ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) )
& ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ uri_ex_w ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_u @ uri_ex_w ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
| ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) ) )
| ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ uri_ex_w ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(16,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_u @ uri_ex_w )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
| ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) ) )
| ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ uri_ex_w ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
| ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ uri_ex_w ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
| ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ uri_ex_w )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
| ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: $i] :
( ( ! [SY3: $i] :
( ( SV1 != SY3 )
| ( iext @ uri_owl_sameAs @ SV1 @ SY3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: $i] :
( ( ! [SY4: $i] :
( ~ ( iext @ uri_owl_sameAs @ SV2 @ SY4 )
| ( SV2 = SY4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( ~ ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1 != SV3 )
| ( iext @ uri_owl_sameAs @ SV1 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV2 @ SV4 )
| ( SV2 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(34,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_u @ ( literal_plain @ dat_str_abc ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( iext @ uri_owl_sameAs @ sK1_BNODE_x @ ( literal_plain @ dat_str_abc ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1 != SV3 )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV2 @ SV4 ) )
= $true )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1 = SV3 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV4: $i,SV2: $i] :
( ( ( iext @ uri_owl_sameAs @ SV2 @ SV4 )
= $false )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,39,38,35,34,24]) ).
thf(41,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 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
% 0.10/0.15 % Computer : n019.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Tue Oct 6 15:51:01 UTC 2026
% 0.10/0.15 % CPUTime :
% 0.10/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.19
% 0.10/0.19 No.of.Axioms: 2
% 0.10/0.19
% 0.10/0.19 Length.of.Defs: 0
% 0.10/0.19
% 0.10/0.19 Contains.Choice.Funs: false
% 0.10/0.19 .
% 0.10/0.19
% 0.10/0.19 ********************************
% 0.10/0.19 * All subproblems solved! *
% 0.10/0.19 ********************************
% 0.10/0.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:40,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.19
% 0.10/0.19 %**** Beginning of derivation protocol ****
% 0.10/0.19 % SZS output start CNFRefutation
% See solution above
% 0.10/0.19
% 0.10/0.19 %**** End of derivation protocol ****
% 0.10/0.19 %**** no. of clauses in derivation: 41 ****
% 0.10/0.19 %**** clause counter: 40 ****
% 0.10/0.19
% 0.10/0.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:40,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------