%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n006.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 10:36:35 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.20s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 208 ( 55 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 231 ( 43 ~; 51 |; 0 &; 137 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 0-2 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cesare,type,
cesare: $i ).
thf(tp_guido,type,
guido: $i ).
thf(tp_lorenzo,type,
lorenzo: $i ).
thf(tp_member,type,
member: $i > $o ).
thf(tp_members,type,
members: $i ).
thf(tp_petruchio,type,
petruchio: $i ).
thf(tp_shaved,type,
shaved: $i > $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ~ ( shaved @ members @ X )
| ~ ( member @ Y )
| ( shaved @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_shaved_then_one_shaved) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ~ ( member @ X )
| ~ ( member @ Y )
| ~ ( shaved @ X @ Y )
| ( shaved @ members @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_shaved_then_all_shaved) ).
thf(3,axiom,
shaved @ guido @ cesare,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guido_has_shaved_cesare) ).
thf(4,axiom,
member @ cesare,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cesare) ).
thf(5,axiom,
member @ petruchio,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',petruchio) ).
thf(6,axiom,
member @ lorenzo,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lorenzo) ).
thf(7,axiom,
member @ guido,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guido) ).
thf(8,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(9,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,negated_conjecture,
~ ( shaved @ petruchio @ lorenzo ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_petruchio_has_shaved_lorenzo) ).
thf(11,plain,
$false = $false,
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( shaved @ members @ X )
| ~ ( member @ Y )
| ( shaved @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( member @ X )
| ~ ( member @ Y )
| ~ ( shaved @ X @ Y )
| ( shaved @ members @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( shaved @ guido @ cesare )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( member @ cesare )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( member @ petruchio )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( member @ lorenzo )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( member @ guido )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ~ ( shaved @ petruchio @ lorenzo ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(20,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,plain,
( ( ~ ( shaved @ petruchio @ lorenzo ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(22,plain,
( ( member @ guido )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(23,plain,
( ( member @ lorenzo )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(24,plain,
( ( member @ petruchio )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(25,plain,
( ( member @ cesare )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(26,plain,
( ( shaved @ guido @ cesare )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( member @ X )
| ~ ( member @ Y )
| ~ ( shaved @ X @ Y )
| ( shaved @ members @ X ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( shaved @ members @ X )
| ~ ( member @ Y )
| ( shaved @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(29,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[20]) ).
thf(30,plain,
( ( shaved @ petruchio @ lorenzo )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(31,plain,
! [SV1: $i] :
( ( ! [SY4: $i] :
( ~ ( member @ SV1 )
| ~ ( member @ SY4 )
| ~ ( shaved @ SV1 @ SY4 )
| ( shaved @ members @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i] :
( ( ! [SY5: $i] :
( ~ ( shaved @ members @ SV2 )
| ~ ( member @ SY5 )
| ( shaved @ SY5 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( member @ SV1 )
| ~ ( member @ SV3 )
| ~ ( shaved @ SV1 @ SV3 )
| ( shaved @ members @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( shaved @ members @ SV2 )
| ~ ( member @ SV4 )
| ( shaved @ SV4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( member @ SV1 ) )
= $true )
| ( ( ~ ( member @ SV3 )
| ~ ( shaved @ SV1 @ SV3 )
| ( shaved @ members @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( shaved @ members @ SV2 ) )
= $true )
| ( ( ~ ( member @ SV4 )
| ( shaved @ SV4 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV3: $i,SV1: $i] :
( ( ( member @ SV1 )
= $false )
| ( ( ~ ( member @ SV3 )
| ~ ( shaved @ SV1 @ SV3 )
| ( shaved @ members @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV4: $i,SV2: $i] :
( ( ( shaved @ members @ SV2 )
= $false )
| ( ( ~ ( member @ SV4 )
| ( shaved @ SV4 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( member @ SV3 ) )
= $true )
| ( ( ~ ( shaved @ SV1 @ SV3 )
| ( shaved @ members @ SV1 ) )
= $true )
| ( ( member @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( member @ SV4 ) )
= $true )
| ( ( shaved @ SV4 @ SV2 )
= $true )
| ( ( shaved @ members @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV1: $i,SV3: $i] :
( ( ( member @ SV3 )
= $false )
| ( ( ~ ( shaved @ SV1 @ SV3 )
| ( shaved @ members @ SV1 ) )
= $true )
| ( ( member @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV2: $i,SV4: $i] :
( ( ( member @ SV4 )
= $false )
| ( ( shaved @ SV4 @ SV2 )
= $true )
| ( ( shaved @ members @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( shaved @ SV1 @ SV3 ) )
= $true )
| ( ( shaved @ members @ SV1 )
= $true )
| ( ( member @ SV3 )
= $false )
| ( ( member @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV3: $i,SV1: $i] :
( ( ( shaved @ SV1 @ SV3 )
= $false )
| ( ( shaved @ members @ SV1 )
= $true )
| ( ( member @ SV3 )
= $false )
| ( ( member @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(46,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,45,43,33,30,26,25,24,23]) ).
thf(47,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.17 % Computer : n006.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Tue Oct 6 13:56:22 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.20
% 0.12/0.20 No.of.Axioms: 8
% 0.12/0.20
% 0.12/0.20 Length.of.Defs: 0
% 0.12/0.20
% 0.12/0.20 Contains.Choice.Funs: false
% 0.12/0.20
% 0.12/0.20 ********************************
% 0.12/0.20 * All subproblems solved! *
% 0.12/0.20 ********************************
% 0.12/0.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:8,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:46,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.20
% 0.12/0.20 %**** Beginning of derivation protocol ****
% 0.12/0.20 % SZS output start CNFRefutation
% See solution above
% 0.12/0.20
% 0.12/0.20 %**** End of derivation protocol ****
% 0.12/0.20 %**** no. of clauses in derivation: 47 ****
% 0.12/0.20 %**** clause counter: 46 ****
% 0.12/0.20
% 0.12/0.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:8,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:46,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------