%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 02:31:48 PM UTC 2026
% Result : Unsatisfiable 5.33s 1.28s
% Output : Proof 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 81 ( 42 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f8,axiom,
( ~ crossed
| on_one_sheet ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).
fof(f8_nnf,plain,
( ~ crossed
| on_one_sheet ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( ~ crossed
| on_one_sheet ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ crossed
| on_one_sheet ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(f5,axiom,
( in_black_ink
| crossed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).
fof(f5_nnf,plain,
( in_black_ink
| crossed ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( in_black_ink
| crossed ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( in_black_ink
| crossed ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p14,plain,
( in_black_ink
| on_one_sheet ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(f4,axiom,
( dated
| ~ on_one_sheet ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).
fof(f4_nnf,plain,
( dated
| ~ on_one_sheet ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( dated
| ~ on_one_sheet ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( dated
| ~ on_one_sheet ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p16,plain,
( dated
| in_black_ink ),
inference(resolution,[status(thm)],[p14,c4]) ).
cnf(f2,axiom,
( ~ in_black_ink
| in_third_person ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',black_ink_in_third_person) ).
fof(f2_nnf,plain,
( ~ in_black_ink
| in_third_person ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ in_black_ink
| in_third_person ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ in_black_ink
| in_third_person ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p17,plain,
( in_third_person
| dated ),
inference(resolution,[status(thm)],[p16,c2]) ).
cnf(f9,axiom,
( ~ in_third_person
| ~ begins_with_dear_sir ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_dear_sirs_in_third_person) ).
fof(f9_nnf,plain,
( ~ in_third_person
| ~ begins_with_dear_sir ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( ~ in_third_person
| ~ begins_with_dear_sir ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ in_third_person
| ~ begins_with_dear_sir ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f6,axiom,
( begins_with_dear_sir
| ~ by_brown ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',brown_starts_with_sir) ).
fof(f6_nnf,plain,
( begins_with_dear_sir
| ~ by_brown ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( begins_with_dear_sir
| ~ by_brown ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( begins_with_dear_sir
| ~ by_brown ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f10,hypothesis,
by_brown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',letter_by_brown) ).
fof(f10_nnf,plain,
by_brown,
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
by_brown,
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(p13,plain,
begins_with_dear_sir,
inference(resolution,[status(thm)],[c6,c10]) ).
cnf(p15,plain,
~ in_third_person,
inference(resolution,[status(thm)],[c9,p13]) ).
cnf(p18,plain,
dated,
inference(resolution,[status(thm)],[p17,p15]) ).
cnf(f0,axiom,
( on_blue_paper
| ~ dated ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dated_on_blue_paper) ).
fof(f0_nnf,plain,
( on_blue_paper
| ~ dated ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( on_blue_paper
| ~ dated ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( on_blue_paper
| ~ dated ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p19,plain,
on_blue_paper,
inference(resolution,[status(thm)],[p18,c0]) ).
cnf(f7,axiom,
( filed
| ~ on_blue_paper ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).
fof(f7_nnf,plain,
( filed
| ~ on_blue_paper ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( filed
| ~ on_blue_paper ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( filed
| ~ on_blue_paper ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p20,plain,
filed,
inference(resolution,[status(thm)],[p19,c7]) ).
cnf(f3,axiom,
( ~ filed
| ~ can_be_read ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filed_if_read) ).
fof(f3_nnf,plain,
( ~ filed
| ~ can_be_read ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( ~ filed
| ~ can_be_read ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ filed
| ~ can_be_read ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f11,negated_conjecture,
can_be_read,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_it_cannot_be_read) ).
fof(f11_nnf,plain,
can_be_read,
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
can_be_read,
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p12,plain,
~ filed,
inference(resolution,[status(thm)],[c3,c11]) ).
cnf(p21,plain,
$false,
inference(resolution,[status(thm)],[p20,p12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 06:38:49 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.33/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.33/1.28 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------