TSTP Solution File: HWV052-1.002.001 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : HWV052-1.002.001 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n025.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 : Sat Jul 16 18:18:43 EDT 2022
% Result : Unsatisfiable 0.91s 1.09s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 57 unt; 6 typ; 0 def)
% Number of atoms : 160 ( 104 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 248 ( 7 ~; 5 |; 0 &; 236 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 91 ( 0 ^ 91 !; 0 ?; 91 :)
% 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 > $i ).
thf(tp_unpack1,type,
unpack1: $i > $i > $i > $i ).
thf(tp_unpack2,type,
unpack2: $i > $i > $i > $i ).
thf(1,axiom,
! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ X2 @ ( inv @ ( pack1 @ X1 @ X2 ) ) )
= X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_06) ).
thf(2,axiom,
! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ ( inv @ X2 ) @ ( pack1 @ X1 @ X2 ) )
= X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_05) ).
thf(3,axiom,
! [X1: $i,X2: $i] :
( ( unpack2 @ ( inv @ X1 ) @ X2 @ ( pack1 @ X1 @ X2 ) )
= X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_04) ).
thf(4,axiom,
! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ X2 @ ( pack1 @ X1 @ X2 ) )
= X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2) ).
thf(5,axiom,
! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ X2 @ ( inv @ ( pack1 @ X1 @ X2 ) ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_03) ).
thf(6,axiom,
! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ ( inv @ X2 ) @ ( pack1 @ X1 @ X2 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_02) ).
thf(7,axiom,
! [X1: $i,X2: $i] :
( ( unpack1 @ ( inv @ X1 ) @ X2 @ ( pack1 @ X1 @ X2 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_01) ).
thf(8,axiom,
! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ X2 @ ( pack1 @ X1 @ X2 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1) ).
thf(9,axiom,
! [X: $i] :
( ( inv @ X )
!= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_inverse) ).
thf(10,axiom,
! [X: $i] :
( ( X = o )
| ( X = i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_domain) ).
thf(11,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(12,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
$false = $false,
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ X2 @ ( inv @ ( pack1 @ X1 @ X2 ) ) )
= X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ ( inv @ X2 ) @ ( pack1 @ X1 @ X2 ) )
= X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack2 @ ( inv @ X1 ) @ X2 @ ( pack1 @ X1 @ X2 ) )
= X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ X2 @ ( pack1 @ X1 @ X2 ) )
= X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ X2 @ ( inv @ ( pack1 @ X1 @ X2 ) ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ ( inv @ X2 ) @ ( pack1 @ X1 @ X2 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack1 @ ( inv @ X1 ) @ X2 @ ( pack1 @ X1 @ X2 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ X2 @ ( pack1 @ X1 @ X2 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( ! [X: $i] :
( ( inv @ X )
!= X ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( ! [X: $i] :
( ( X = o )
| ( X = i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(24,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,plain,
( ( ! [X: $i] :
( ( inv @ X )
!= X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(26,plain,
( ( ! [X: $i] :
( ( X = o )
| ( X = i ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(27,plain,
( ( ! [X: $i] :
( ( inv @ X )
!= X ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(28,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ X2 @ ( pack1 @ X1 @ X2 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(29,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack1 @ ( inv @ X1 ) @ X2 @ ( pack1 @ X1 @ X2 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(30,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ ( inv @ X2 ) @ ( pack1 @ X1 @ X2 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(31,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack1 @ X1 @ X2 @ ( inv @ ( pack1 @ X1 @ X2 ) ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(32,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ X2 @ ( pack1 @ X1 @ X2 ) )
= X2 ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(33,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack2 @ ( inv @ X1 ) @ X2 @ ( pack1 @ X1 @ X2 ) )
= X2 ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(34,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ ( inv @ X2 ) @ ( pack1 @ X1 @ X2 ) )
= X2 ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(35,plain,
( ( ! [X1: $i,X2: $i] :
( ( unpack2 @ X1 @ X2 @ ( inv @ ( pack1 @ X1 @ X2 ) ) )
= X2 ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(36,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(37,plain,
! [SV1: $i] :
( ( ( SV1 = o )
| ( SV1 = i ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(38,plain,
! [SV2: $i] :
( ( ( ( inv @ SV2 )
!= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(39,plain,
! [SV3: $i] :
( ( ! [SY18: $i] :
( ( unpack1 @ SV3 @ SY18 @ ( pack1 @ SV3 @ SY18 ) )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(40,plain,
! [SV4: $i] :
( ( ! [SY19: $i] :
( ( unpack1 @ ( inv @ SV4 ) @ SY19 @ ( pack1 @ SV4 @ SY19 ) )
= SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(41,plain,
! [SV5: $i] :
( ( ! [SY20: $i] :
( ( unpack1 @ SV5 @ ( inv @ SY20 ) @ ( pack1 @ SV5 @ SY20 ) )
= SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(42,plain,
! [SV6: $i] :
( ( ! [SY21: $i] :
( ( unpack1 @ SV6 @ SY21 @ ( inv @ ( pack1 @ SV6 @ SY21 ) ) )
= SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(43,plain,
! [SV7: $i] :
( ( ! [SY22: $i] :
( ( unpack2 @ SV7 @ SY22 @ ( pack1 @ SV7 @ SY22 ) )
= SY22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(44,plain,
! [SV8: $i] :
( ( ! [SY23: $i] :
( ( unpack2 @ ( inv @ SV8 ) @ SY23 @ ( pack1 @ SV8 @ SY23 ) )
= SY23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(45,plain,
! [SV9: $i] :
( ( ! [SY24: $i] :
( ( unpack2 @ SV9 @ ( inv @ SY24 ) @ ( pack1 @ SV9 @ SY24 ) )
= SY24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(46,plain,
! [SV10: $i] :
( ( ! [SY25: $i] :
( ( unpack2 @ SV10 @ SY25 @ ( inv @ ( pack1 @ SV10 @ SY25 ) ) )
= SY25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(47,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(48,plain,
! [SV1: $i] :
( ( ( SV1 = o )
= $true )
| ( ( SV1 = i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( inv @ SV2 )
= SV2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(50,plain,
! [SV11: $i,SV3: $i] :
( ( ( unpack1 @ SV3 @ SV11 @ ( pack1 @ SV3 @ SV11 ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(51,plain,
! [SV12: $i,SV4: $i] :
( ( ( unpack1 @ ( inv @ SV4 ) @ SV12 @ ( pack1 @ SV4 @ SV12 ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(52,plain,
! [SV13: $i,SV5: $i] :
( ( ( unpack1 @ SV5 @ ( inv @ SV13 ) @ ( pack1 @ SV5 @ SV13 ) )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(53,plain,
! [SV14: $i,SV6: $i] :
( ( ( unpack1 @ SV6 @ SV14 @ ( inv @ ( pack1 @ SV6 @ SV14 ) ) )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(54,plain,
! [SV15: $i,SV7: $i] :
( ( ( unpack2 @ SV7 @ SV15 @ ( pack1 @ SV7 @ SV15 ) )
= SV15 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(55,plain,
! [SV16: $i,SV8: $i] :
( ( ( unpack2 @ ( inv @ SV8 ) @ SV16 @ ( pack1 @ SV8 @ SV16 ) )
= SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(56,plain,
! [SV17: $i,SV9: $i] :
( ( ( unpack2 @ SV9 @ ( inv @ SV17 ) @ ( pack1 @ SV9 @ SV17 ) )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(57,plain,
! [SV18: $i,SV10: $i] :
( ( ( unpack2 @ SV10 @ SV18 @ ( inv @ ( pack1 @ SV10 @ SV18 ) ) )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(58,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[47,57,56,55,54,53,52,51,50,49,48]) ).
thf(59,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : HWV052-1.002.001 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 06:21:42 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.34
% 0.18/0.34 No.of.Axioms: 10
% 0.18/0.34
% 0.18/0.34 Length.of.Defs: 0
% 0.18/0.34
% 0.18/0.34 Contains.Choice.Funs: false
% 0.18/0.34 (rf:0,axioms:10,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:12,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.91/1.09
% 0.91/1.09 ********************************
% 0.91/1.09 * All subproblems solved! *
% 0.91/1.09 ********************************
% 0.91/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:58,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.91/1.09
% 0.91/1.09 %**** Beginning of derivation protocol ****
% 0.91/1.09 % SZS output start CNFRefutation
% See solution above
% 0.91/1.09
% 0.91/1.09 %**** End of derivation protocol ****
% 0.91/1.09 %**** no. of clauses in derivation: 59 ****
% 0.91/1.09 %**** clause counter: 58 ****
% 0.91/1.09
% 0.91/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:58,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------