%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 : Thu Sep 24 01:59:49 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 48 ( 7 unt; 10 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 73 ( 32 ~; 31 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 21 ( 20 usr; 21 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( on_blue_paper
| ~ dated ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ~ in_black_ink
| in_third_person ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ~ filed
| ~ can_be_read ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( dated
| ~ on_one_sheet ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( in_black_ink
| crossed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( begins_with_dear_sir
| ~ by_brown ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( filed
| ~ on_blue_paper ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( ~ crossed
| on_one_sheet ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ~ in_third_person
| ~ begins_with_dear_sir ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
by_brown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
can_be_read,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,plain,
( on_blue_paper
| ~ dated ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
( ~ in_black_ink
| in_third_person ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
( ~ filed
| ~ can_be_read ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( dated
| ~ on_one_sheet ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
( in_black_ink
| crossed ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
( begins_with_dear_sir
| ~ by_brown ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
( filed
| ~ on_blue_paper ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
( ~ crossed
| on_one_sheet ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
( ~ in_third_person
| ~ begins_with_dear_sir ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
by_brown,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
can_be_read,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f25,definition,
( sQ0_spl
<=> dated ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f28,definition,
( sQ1_spl
<=> on_blue_paper ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f31,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f25,f28]) ).
fof(f32,definition,
( sQ2_spl
<=> in_third_person ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f35,definition,
( sQ3_spl
<=> in_black_ink ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f39,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f15,f32,f35]) ).
fof(f40,definition,
( sQ4_spl
<=> can_be_read ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f42,plain,
( sQ4_spl
| ~ can_be_read ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,definition,
( sQ5_spl
<=> filed ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f46,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f16,f40,f43]) ).
fof(f47,definition,
( sQ6_spl
<=> on_one_sheet ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f17,f47,f25]) ).
fof(f51,definition,
( sQ7_spl
<=> crossed ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f18,f51,f35]) ).
fof(f55,definition,
( sQ8_spl
<=> by_brown ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f57,plain,
( sQ8_spl
| ~ by_brown ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,definition,
( sQ9_spl
<=> begins_with_dear_sir ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f19,f55,f58]) ).
fof(f62,plain,
( sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f20,f28,f43]) ).
fof(f63,plain,
( ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f21,f47,f51]) ).
fof(f64,plain,
( ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f22,f58,f32]) ).
fof(f65,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f24]) ).
fof(f66,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f57,f23]) ).
fof(f68,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f67]) ).
fof(f69,plain,
$false,
inference(sat_refutation,[status(thm)],[f31,f39,f46,f50,f54,f61,f62,f63,f64,f66,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 03:49:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.044463 seconds
% 0.09/0.42 % CPU time: 0.109070 seconds
% 0.09/0.42 % Total memory used: 16.559 MB
% 0.09/0.42 % Net memory used: 16.085 MB
%------------------------------------------------------------------------------