%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ004-1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.09s 0.20s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 65 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 260 ( 72 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 99 ( 48 ~; 51 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_begins_with_dear_sir,type,
begins_with_dear_sir: $o ).
thf(tp_by_brown,type,
by_brown: $o ).
thf(tp_can_be_read,type,
can_be_read: $o ).
thf(tp_crossed,type,
crossed: $o ).
thf(tp_dated,type,
dated: $o ).
thf(tp_filed,type,
filed: $o ).
thf(tp_in_black_ink,type,
in_black_ink: $o ).
thf(tp_in_third_person,type,
in_third_person: $o ).
thf(tp_on_blue_paper,type,
on_blue_paper: $o ).
thf(tp_on_one_sheet,type,
on_one_sheet: $o ).
thf(1,axiom,
( ~ begins_with_dear_sir
| ~ in_third_person ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_dear_sirs_in_third_person) ).
thf(2,axiom,
( on_one_sheet
| ~ crossed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).
thf(3,axiom,
( ~ on_blue_paper
| filed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).
thf(4,axiom,
( ~ by_brown
| begins_with_dear_sir ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',brown_starts_with_sir) ).
thf(5,axiom,
( crossed
| in_black_ink ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).
thf(6,axiom,
( ~ on_one_sheet
| dated ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).
thf(7,axiom,
( ~ can_be_read
| ~ filed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filed_if_read) ).
thf(8,axiom,
( in_third_person
| ~ in_black_ink ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',black_ink_in_third_person) ).
thf(9,axiom,
( ~ in_third_person
| in_black_ink ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',third_person_in_black_ink) ).
thf(10,axiom,
( ~ dated
| on_blue_paper ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dated_on_blue_paper) ).
thf(11,axiom,
by_brown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',letter_by_brown) ).
thf(12,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(13,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,negated_conjecture,
can_be_read,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_it_cannot_be_read) ).
thf(15,plain,
$false = $false,
inference(unfold_def,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ begins_with_dear_sir
| ~ in_third_person )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(17,plain,
( ( on_one_sheet
| ~ crossed )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(18,plain,
( ( ~ on_blue_paper
| filed )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(19,plain,
( ( ~ by_brown
| begins_with_dear_sir )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(20,plain,
( ( crossed
| in_black_ink )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(21,plain,
( ( ~ on_one_sheet
| dated )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(22,plain,
( ( ~ can_be_read
| ~ filed )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(23,plain,
( ( in_third_person
| ~ in_black_ink )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(24,plain,
( ( ~ in_third_person
| in_black_ink )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(25,plain,
( ( ~ dated
| on_blue_paper )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(26,plain,
by_brown = $true,
inference(unfold_def,[status(thm)],[11]) ).
thf(27,plain,
can_be_read = $true,
inference(unfold_def,[status(thm)],[14]) ).
thf(28,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(29,plain,
can_be_read = $true,
inference(copy,[status(thm)],[27]) ).
thf(30,plain,
by_brown = $true,
inference(copy,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ dated
| on_blue_paper )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(32,plain,
( ( ~ in_third_person
| in_black_ink )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(33,plain,
( ( in_third_person
| ~ in_black_ink )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(34,plain,
( ( ~ can_be_read
| ~ filed )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(35,plain,
( ( ~ on_one_sheet
| dated )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(36,plain,
( ( crossed
| in_black_ink )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(37,plain,
( ( ~ by_brown
| begins_with_dear_sir )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(38,plain,
( ( ~ on_blue_paper
| filed )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(39,plain,
( ( on_one_sheet
| ~ crossed )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(40,plain,
( ( ~ begins_with_dear_sir
| ~ in_third_person )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(41,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[28]) ).
thf(42,plain,
( ( ( ~ dated ) = $true )
| ( on_blue_paper = $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(43,plain,
( ( ( ~ in_third_person ) = $true )
| ( in_black_ink = $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(44,plain,
( ( in_third_person = $true )
| ( ( ~ in_black_ink ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(45,plain,
( ( ( ~ can_be_read ) = $true )
| ( ( ~ filed ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(46,plain,
( ( ( ~ on_one_sheet ) = $true )
| ( dated = $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(47,plain,
( ( crossed = $true )
| ( in_black_ink = $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(48,plain,
( ( ( ~ by_brown ) = $true )
| ( begins_with_dear_sir = $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(49,plain,
( ( ( ~ on_blue_paper ) = $true )
| ( filed = $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(50,plain,
( ( on_one_sheet = $true )
| ( ( ~ crossed ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(51,plain,
( ( ( ~ begins_with_dear_sir ) = $true )
| ( ( ~ in_third_person ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(52,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(53,plain,
( ( dated = $false )
| ( on_blue_paper = $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(54,plain,
( ( in_third_person = $false )
| ( in_black_ink = $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(55,plain,
( ( in_black_ink = $false )
| ( in_third_person = $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(56,plain,
( ( can_be_read = $false )
| ( ( ~ filed ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(57,plain,
( ( on_one_sheet = $false )
| ( dated = $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(58,plain,
( ( by_brown = $false )
| ( begins_with_dear_sir = $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(59,plain,
( ( on_blue_paper = $false )
| ( filed = $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(60,plain,
( ( crossed = $false )
| ( on_one_sheet = $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(61,plain,
( ( begins_with_dear_sir = $false )
| ( ( ~ in_third_person ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(62,plain,
( ( filed = $false )
| ( can_be_read = $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(63,plain,
( ( in_third_person = $false )
| ( begins_with_dear_sir = $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(64,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,63,62,60,59,58,57,55,54,53,52,47,30]) ).
thf(65,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n018.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 13:59:07 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.20
% 0.09/0.20 No.of.Axioms: 12
% 0.09/0.20
% 0.09/0.20 Length.of.Defs: 0
% 0.09/0.20
% 0.09/0.20 Contains.Choice.Funs: false
% 0.09/0.20
% 0.09/0.20 ********************************
% 0.09/0.20 * All subproblems solved! *
% 0.09/0.20 ********************************
% 0.09/0.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:64,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.09/0.20
% 0.09/0.20 %**** Beginning of derivation protocol ****
% 0.09/0.20 % SZS output start CNFRefutation
% See solution above
% 0.09/0.20
% 0.09/0.20 %**** End of derivation protocol ****
% 0.09/0.20 %**** no. of clauses in derivation: 65 ****
% 0.09/0.20 %**** clause counter: 64 ****
% 0.09/0.20
% 0.09/0.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:64,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------