%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : HWV052-1.001.001 : 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 : n013.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 10:22:38 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.25s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 53 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 62 ( 7 ~; 5 |; 0 &; 50 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_i,type,
i: $i ).
thf(tp_inv,type,
inv: $i > $i ).
thf(tp_o,type,
o: $i ).
thf(tp_pack1,type,
pack1: $i > $i ).
thf(tp_unpack1,type,
unpack1: $i > $i > $i ).
thf(1,axiom,
! [X1: $i] :
( ( unpack1 @ X1 @ ( inv @ ( pack1 @ X1 ) ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_02) ).
thf(2,axiom,
! [X1: $i] :
( ( unpack1 @ ( inv @ X1 ) @ ( pack1 @ X1 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_01) ).
thf(3,axiom,
! [X1: $i] :
( ( unpack1 @ X1 @ ( pack1 @ X1 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1) ).
thf(4,axiom,
! [X: $i] :
( ( inv @ X )
!= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_inverse) ).
thf(5,axiom,
! [X: $i] :
( ( X = o )
| ( X = i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_domain) ).
thf(6,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(7,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
$false = $false,
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [X1: $i] :
( ( unpack1 @ X1 @ ( inv @ ( pack1 @ X1 ) ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ! [X1: $i] :
( ( unpack1 @ ( inv @ X1 ) @ ( pack1 @ X1 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,plain,
( ( ! [X1: $i] :
( ( unpack1 @ X1 @ ( pack1 @ X1 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [X: $i] :
( ( inv @ X )
!= X ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( ! [X: $i] :
( ( X = o )
| ( X = i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(14,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [X: $i] :
( ( X = o )
| ( X = i ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [X: $i] :
( ( inv @ X )
!= X ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(17,plain,
( ( ! [X1: $i] :
( ( unpack1 @ X1 @ ( pack1 @ X1 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(18,plain,
( ( ! [X1: $i] :
( ( unpack1 @ ( inv @ X1 ) @ ( pack1 @ X1 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(19,plain,
( ( ! [X1: $i] :
( ( unpack1 @ X1 @ ( inv @ ( pack1 @ X1 ) ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(20,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[14]) ).
thf(21,plain,
( ( ! [SX0: $i] :
( ( inv @ SX0 )
!= SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(22,plain,
! [SV1: $i] :
( ( ( SV1 = o )
| ( SV1 = i ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(23,plain,
! [SV2: $i] :
( ( ( unpack1 @ SV2 @ ( pack1 @ SV2 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(24,plain,
! [SV3: $i] :
( ( ( unpack1 @ ( inv @ SV3 ) @ ( pack1 @ SV3 ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV4: $i] :
( ( ( unpack1 @ SV4 @ ( inv @ ( pack1 @ SV4 ) ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(26,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(27,plain,
! [SV5: $i] :
( ( ( inv @ SV5 )
!= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(28,plain,
! [SV1: $i] :
( ( ( SV1 = o )
= $true )
| ( ( SV1 = i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(29,plain,
! [SV5: $i] :
( ( ( inv @ SV5 )
= SV5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,29,28,26,25,24]) ).
thf(31,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV052-1.001.001 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n013.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Oct 6 10:59:21 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25
% 0.06/0.25 No.of.Axioms: 5
% 0.06/0.25
% 0.06/0.25 Length.of.Defs: 0
% 0.06/0.25
% 0.06/0.25 Contains.Choice.Funs: false
% 0.06/0.25
% 0.06/0.25 ********************************
% 0.06/0.25 * All subproblems solved! *
% 0.06/0.25 ********************************
% 0.06/0.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:5,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:30,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.06/0.25
% 0.06/0.25 %**** Beginning of derivation protocol ****
% 0.06/0.25 % SZS output start CNFRefutation
% See solution above
% 0.06/0.25
% 0.06/0.25 %**** End of derivation protocol ****
% 0.06/0.25 %**** no. of clauses in derivation: 31 ****
% 0.06/0.25 %**** clause counter: 30 ****
% 0.06/0.25
% 0.06/0.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:5,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:30,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------