TSTP Solution File: SWB015+2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB015+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 19:13:17 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 21 unt; 2 typ; 0 def)
% Number of atoms : 106 ( 49 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 137 ( 27 ~; 22 |; 2 &; 84 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 0 ^ 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(2,conjecture,
iext @ uri_owl_sameAs @ uri_owl_sameAs @ uri_owl_sameAs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_015_Reflective_Tautologies_I) ).
thf(3,negated_conjecture,
( ( iext @ uri_owl_sameAs @ uri_owl_sameAs @ uri_owl_sameAs )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( iext @ uri_owl_sameAs @ uri_owl_sameAs @ uri_owl_sameAs )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_owl_sameAs @ uri_owl_sameAs ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,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)],[5]) ).
thf(8,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)],[7]) ).
thf(9,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_owl_sameAs @ uri_owl_sameAs ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(10,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)],[8]) ).
thf(11,plain,
( ( iext @ uri_owl_sameAs @ uri_owl_sameAs @ uri_owl_sameAs )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,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)],[10]) ).
thf(13,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i] :
( ( ! [SY2: $i] :
( ( SV1 != SY2 )
| ( iext @ uri_owl_sameAs @ SV1 @ SY2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV2: $i] :
( ( ! [SY3: $i] :
( ~ ( iext @ uri_owl_sameAs @ SV2 @ SY3 )
| ( SV2 = SY3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1 != SV3 )
| ( iext @ uri_owl_sameAs @ SV1 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV2 @ SV4 )
| ( SV2 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV3: $i,SV1: $i] :
( ( ( ( SV1 != SV3 ) )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV2 @ SV4 ) )
= $true )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1 = SV3 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV4: $i,SV2: $i] :
( ( ( iext @ uri_owl_sameAs @ SV2 @ SV4 )
= $false )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,24,23]) ).
thf(26,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWB015+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 1 00:31:10 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33
% 0.12/0.33 No.of.Axioms: 1
% 0.12/0.33
% 0.12/0.33 Length.of.Defs: 0
% 0.12/0.33
% 0.12/0.33 Contains.Choice.Funs: false
% 0.12/0.33 (rf:0,axioms:1,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.12/0.35
% 0.12/0.35 ********************************
% 0.12/0.35 * All subproblems solved! *
% 0.12/0.35 ********************************
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:25,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.35
% 0.12/0.35 %**** Beginning of derivation protocol ****
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
% 0.12/0.35
% 0.12/0.35 %**** End of derivation protocol ****
% 0.12/0.35 %**** no. of clauses in derivation: 26 ****
% 0.12/0.35 %**** clause counter: 25 ****
% 0.12/0.35
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:25,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------