TSTP Solution File: PUZ011-1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.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 : Mon Jul 18 18:19:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 47
% Syntax : Number of formulae : 121 ( 90 unt; 19 typ; 0 def)
% Number of atoms : 368 ( 101 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 347 ( 57 ~; 64 |; 0 &; 226 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 48 ( 0 ^ 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_african,type,
african: $i > $o ).
thf(tp_angola,type,
angola: $i ).
thf(tp_asian,type,
asian: $i > $o ).
thf(tp_atlantic,type,
atlantic: $i ).
thf(tp_borders,type,
borders: $i > $i > $o ).
thf(tp_brazil,type,
brazil: $i ).
thf(tp_india,type,
india: $i ).
thf(tp_indian,type,
indian: $i ).
thf(tp_iran,type,
iran: $i ).
thf(tp_kenya,type,
kenya: $i ).
thf(tp_nigeria,type,
nigeria: $i ).
thf(tp_ocean,type,
ocean: $i > $o ).
thf(tp_pakistan,type,
pakistan: $i ).
thf(tp_somalia,type,
somalia: $i ).
thf(tp_south_american,type,
south_american: $i > $o ).
thf(tp_tanzania,type,
tanzania: $i ).
thf(tp_uruguay,type,
uruguay: $i ).
thf(tp_venesuela,type,
venesuela: $i ).
thf(tp_zaire,type,
zaire: $i ).
thf(1,axiom,
asian @ iran,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iran) ).
thf(2,axiom,
asian @ pakistan,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pakistan) ).
thf(3,axiom,
asian @ india,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',india) ).
thf(4,axiom,
african @ tanzania,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tanzania) ).
thf(5,axiom,
african @ kenya,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kenya) ).
thf(6,axiom,
african @ somalia,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',somalia) ).
thf(7,axiom,
african @ angola,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',angola) ).
thf(8,axiom,
african @ nigeria,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nigeria) ).
thf(9,axiom,
african @ zaire,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zaire) ).
thf(10,axiom,
south_american @ venesuela,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venezuela) ).
thf(11,axiom,
south_american @ uruguay,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uruguay) ).
thf(12,axiom,
south_american @ brazil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',brazil) ).
thf(13,axiom,
borders @ indian @ tanzania,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_tanzania) ).
thf(14,axiom,
borders @ indian @ kenya,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_kenya) ).
thf(15,axiom,
borders @ indian @ somalia,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_somalia) ).
thf(16,axiom,
borders @ indian @ iran,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_iran) ).
thf(17,axiom,
borders @ indian @ pakistan,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_pakistan) ).
thf(18,axiom,
borders @ indian @ india,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_india) ).
thf(19,axiom,
borders @ atlantic @ angola,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_angola) ).
thf(20,axiom,
borders @ atlantic @ nigeria,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_nigeria) ).
thf(21,axiom,
borders @ atlantic @ zaire,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_zaire) ).
thf(22,axiom,
borders @ atlantic @ venesuela,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_venesuela) ).
thf(23,axiom,
borders @ atlantic @ uruguay,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_uruguay) ).
thf(24,axiom,
borders @ atlantic @ brazil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_brazil) ).
thf(25,axiom,
ocean @ indian,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian) ).
thf(26,axiom,
ocean @ atlantic,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic) ).
thf(27,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(28,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[27]) ).
thf(29,negated_conjecture,
! [Ocean: $i,African: $i,Asian: $i] :
( ~ ( ocean @ Ocean )
| ~ ( borders @ Ocean @ African )
| ~ ( african @ African )
| ~ ( borders @ Ocean @ Asian )
| ~ ( asian @ Asian ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_common_ocean) ).
thf(30,plain,
$false = $false,
inference(unfold_def,[status(thm)],[28]) ).
thf(31,plain,
( ( asian @ iran )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(32,plain,
( ( asian @ pakistan )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(33,plain,
( ( asian @ india )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(34,plain,
( ( african @ tanzania )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(35,plain,
( ( african @ kenya )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(36,plain,
( ( african @ somalia )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(37,plain,
( ( african @ angola )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(38,plain,
( ( african @ nigeria )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(39,plain,
( ( african @ zaire )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(40,plain,
( ( south_american @ venesuela )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(41,plain,
( ( south_american @ uruguay )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(42,plain,
( ( south_american @ brazil )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(43,plain,
( ( borders @ indian @ tanzania )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(44,plain,
( ( borders @ indian @ kenya )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(45,plain,
( ( borders @ indian @ somalia )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(46,plain,
( ( borders @ indian @ iran )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(47,plain,
( ( borders @ indian @ pakistan )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(48,plain,
( ( borders @ indian @ india )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(49,plain,
( ( borders @ atlantic @ angola )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(50,plain,
( ( borders @ atlantic @ nigeria )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(51,plain,
( ( borders @ atlantic @ zaire )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(52,plain,
( ( borders @ atlantic @ venesuela )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(53,plain,
( ( borders @ atlantic @ uruguay )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(54,plain,
( ( borders @ atlantic @ brazil )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(55,plain,
( ( ocean @ indian )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(56,plain,
( ( ocean @ atlantic )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(57,plain,
( ( ! [Ocean: $i,African: $i,Asian: $i] :
( ~ ( ocean @ Ocean )
| ~ ( borders @ Ocean @ African )
| ~ ( african @ African )
| ~ ( borders @ Ocean @ Asian )
| ~ ( asian @ Asian ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(58,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[30]) ).
thf(59,plain,
( ( ! [Ocean: $i] :
( ~ ( ocean @ Ocean )
| ! [African: $i] :
( ~ ( borders @ Ocean @ African )
| ~ ( african @ African )
| ! [Asian: $i] :
( ~ ( borders @ Ocean @ Asian )
| ~ ( asian @ Asian ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(60,plain,
( ( ! [Ocean: $i] :
( ~ ( ocean @ Ocean )
| ! [African: $i] :
( ~ ( borders @ Ocean @ African )
| ~ ( african @ African )
| ! [Asian: $i] :
( ~ ( borders @ Ocean @ Asian )
| ~ ( asian @ Asian ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(61,plain,
( ( ocean @ atlantic )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(62,plain,
( ( ocean @ indian )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(63,plain,
( ( borders @ atlantic @ brazil )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(64,plain,
( ( borders @ atlantic @ uruguay )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(65,plain,
( ( borders @ atlantic @ venesuela )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(66,plain,
( ( borders @ atlantic @ zaire )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(67,plain,
( ( borders @ atlantic @ nigeria )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(68,plain,
( ( borders @ atlantic @ angola )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(69,plain,
( ( borders @ indian @ india )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(70,plain,
( ( borders @ indian @ pakistan )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(71,plain,
( ( borders @ indian @ iran )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(72,plain,
( ( borders @ indian @ somalia )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(73,plain,
( ( borders @ indian @ kenya )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(74,plain,
( ( borders @ indian @ tanzania )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(75,plain,
( ( south_american @ brazil )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(76,plain,
( ( south_american @ uruguay )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(77,plain,
( ( south_american @ venesuela )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(78,plain,
( ( african @ zaire )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(79,plain,
( ( african @ nigeria )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(80,plain,
( ( african @ angola )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(81,plain,
( ( african @ somalia )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(82,plain,
( ( african @ kenya )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(83,plain,
( ( african @ tanzania )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(84,plain,
( ( asian @ india )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(85,plain,
( ( asian @ pakistan )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(86,plain,
( ( asian @ iran )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(87,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(88,plain,
! [SV1: $i] :
( ( ~ ( ocean @ SV1 )
| ! [SY3: $i] :
( ~ ( borders @ SV1 @ SY3 )
| ~ ( african @ SY3 )
| ! [SY4: $i] :
( ~ ( borders @ SV1 @ SY4 )
| ~ ( asian @ SY4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(89,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(90,plain,
! [SV1: $i] :
( ( ( ~ ( ocean @ SV1 ) )
= $true )
| ( ( ! [SY3: $i] :
( ~ ( borders @ SV1 @ SY3 )
| ~ ( african @ SY3 )
| ! [SY4: $i] :
( ~ ( borders @ SV1 @ SY4 )
| ~ ( asian @ SY4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(91,plain,
! [SV1: $i] :
( ( ( ocean @ SV1 )
= $false )
| ( ( ! [SY3: $i] :
( ~ ( borders @ SV1 @ SY3 )
| ~ ( african @ SY3 )
| ! [SY4: $i] :
( ~ ( borders @ SV1 @ SY4 )
| ~ ( asian @ SY4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(92,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( borders @ SV1 @ SV2 )
| ~ ( african @ SV2 )
| ! [SY4: $i] :
( ~ ( borders @ SV1 @ SY4 )
| ~ ( asian @ SY4 ) ) )
= $true )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(93,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( borders @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( african @ SV2 )
| ! [SY4: $i] :
( ~ ( borders @ SV1 @ SY4 )
| ~ ( asian @ SY4 ) ) )
= $true )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(94,plain,
! [SV2: $i,SV1: $i] :
( ( ( borders @ SV1 @ SV2 )
= $false )
| ( ( ~ ( african @ SV2 )
| ! [SY4: $i] :
( ~ ( borders @ SV1 @ SY4 )
| ~ ( asian @ SY4 ) ) )
= $true )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(95,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( african @ SV2 ) )
= $true )
| ( ( ! [SY4: $i] :
( ~ ( borders @ SV1 @ SY4 )
| ~ ( asian @ SY4 ) ) )
= $true )
| ( ( borders @ SV1 @ SV2 )
= $false )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(96,plain,
! [SV1: $i,SV2: $i] :
( ( ( african @ SV2 )
= $false )
| ( ( ! [SY4: $i] :
( ~ ( borders @ SV1 @ SY4 )
| ~ ( asian @ SY4 ) ) )
= $true )
| ( ( borders @ SV1 @ SV2 )
= $false )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(97,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( borders @ SV1 @ SV3 )
| ~ ( asian @ SV3 ) )
= $true )
| ( ( african @ SV2 )
= $false )
| ( ( borders @ SV1 @ SV2 )
= $false )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(98,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( borders @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( asian @ SV3 ) )
= $true )
| ( ( african @ SV2 )
= $false )
| ( ( borders @ SV1 @ SV2 )
= $false )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(99,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ( borders @ SV1 @ SV3 )
= $false )
| ( ( ~ ( asian @ SV3 ) )
= $true )
| ( ( african @ SV2 )
= $false )
| ( ( borders @ SV1 @ SV2 )
= $false )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(100,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( asian @ SV3 )
= $false )
| ( ( borders @ SV1 @ SV3 )
= $false )
| ( ( african @ SV2 )
= $false )
| ( ( borders @ SV1 @ SV2 )
= $false )
| ( ( ocean @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(101,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[61,100,89,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62]) ).
thf(102,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 22:46:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 27
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.19/0.35 (rf:0,axioms:27,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:29,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.19/0.39
% 0.19/0.39 ********************************
% 0.19/0.39 * All subproblems solved! *
% 0.19/0.39 ********************************
% 0.19/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:27,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:101,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.39
% 0.19/0.39 %**** Beginning of derivation protocol ****
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
% 0.19/0.39
% 0.19/0.39 %**** End of derivation protocol ****
% 0.19/0.39 %**** no. of clauses in derivation: 102 ****
% 0.19/0.39 %**** clause counter: 101 ****
% 0.19/0.39
% 0.19/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:27,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:101,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------