%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:59:54 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 64 ( 12 unt; 7 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 184 ( 84 ~; 93 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 8 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( liable_to_giddiness(X)
| ~ young(X)
| ~ balloonist(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( eats_lunch_in_public(X)
| dances_on_tightropes(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( ~ dances_on_tightropes(X)
| ~ wise(X)
| ~ liable_to_giddiness(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( looks_ridiculous(X)
| ~ has_umbrella(X)
| ~ pig(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( fat(X)
| ~ treated_with_respect(X)
| dances_on_tightropes(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( ~ old(X)
| ~ young(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
wise(piggy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
young(piggy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
pig(piggy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
balloonist(piggy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] :
( old(X0)
| eats_pennybuns(X0)
| dances_on_tightropes(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [X0] :
( treated_with_respect(X0)
| ~ liable_to_giddiness(X0)
| ~ pig(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0] :
( has_umbrella(X0)
| ~ balloonist(X0)
| ~ wise(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0] :
( ~ eats_lunch_in_public(X0)
| ~ eats_pennybuns(X0)
| ~ looks_ridiculous(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0] :
( liable_to_giddiness(X0)
| ~ young(X0)
| ~ balloonist(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
! [X0] :
( eats_lunch_in_public(X0)
| dances_on_tightropes(X0)
| ~ looks_ridiculous(X0)
| ~ fat(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0] :
( ~ dances_on_tightropes(X0)
| ~ wise(X0)
| ~ liable_to_giddiness(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f23,plain,
! [X0] :
( looks_ridiculous(X0)
| ~ has_umbrella(X0)
| ~ pig(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0] :
( fat(X0)
| ~ treated_with_respect(X0)
| dances_on_tightropes(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
! [X0] :
( ~ old(X0)
| ~ young(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
wise(piggy),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
young(piggy),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f29,plain,
pig(piggy),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f30,plain,
balloonist(piggy),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f31,plain,
( liable_to_giddiness(piggy)
| ~ balloonist(piggy) ),
inference(resolution,[status(thm)],[f20,f28]) ).
fof(f32,definition,
( sQ0_spl
<=> balloonist(piggy) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f34,plain,
( sQ0_spl
| ~ balloonist(piggy) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,definition,
( sQ1_spl
<=> liable_to_giddiness(piggy) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f38,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f31,f32,f35]) ).
fof(f39,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f30]) ).
fof(f40,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f39]) ).
fof(f47,plain,
! [X0] :
( ~ young(X0)
| eats_pennybuns(X0)
| dances_on_tightropes(X0) ),
inference(resolution,[status(thm)],[f16,f26]) ).
fof(f48,plain,
( eats_pennybuns(piggy)
| dances_on_tightropes(piggy) ),
inference(resolution,[status(thm)],[f47,f28]) ).
fof(f50,definition,
( sQ3_spl
<=> dances_on_tightropes(piggy) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( ~ sQ3_spl
| dances_on_tightropes(piggy) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,definition,
( sQ4_spl
<=> eats_pennybuns(piggy) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f48,f50,f53]) ).
fof(f57,plain,
( ~ sQ3_spl
| ~ wise(piggy)
| ~ liable_to_giddiness(piggy) ),
inference(resolution,[status(thm)],[f51,f22]) ).
fof(f58,definition,
( sQ5_spl
<=> wise(piggy) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( sQ5_spl
| ~ wise(piggy) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f57,f35,f58,f50]) ).
fof(f62,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f27]) ).
fof(f63,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f62]) ).
fof(f64,plain,
! [X0] :
( ~ treated_with_respect(X0)
| dances_on_tightropes(X0)
| eats_lunch_in_public(X0)
| dances_on_tightropes(X0)
| ~ looks_ridiculous(X0) ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f65,plain,
! [X0] :
( ~ treated_with_respect(X0)
| eats_lunch_in_public(X0)
| dances_on_tightropes(X0)
| ~ looks_ridiculous(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f64]) ).
fof(f66,plain,
! [X0] :
( ~ eats_pennybuns(X0)
| ~ looks_ridiculous(X0)
| ~ treated_with_respect(X0)
| dances_on_tightropes(X0)
| ~ looks_ridiculous(X0) ),
inference(resolution,[status(thm)],[f65,f19]) ).
fof(f67,plain,
! [X0] :
( ~ eats_pennybuns(X0)
| ~ treated_with_respect(X0)
| dances_on_tightropes(X0)
| ~ looks_ridiculous(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0] :
( ~ has_umbrella(X0)
| ~ pig(X0)
| ~ eats_pennybuns(X0)
| ~ treated_with_respect(X0)
| dances_on_tightropes(X0) ),
inference(resolution,[status(thm)],[f67,f23]) ).
fof(f69,plain,
! [X0] :
( ~ balloonist(X0)
| ~ wise(X0)
| ~ pig(X0)
| ~ eats_pennybuns(X0)
| ~ treated_with_respect(X0)
| dances_on_tightropes(X0) ),
inference(resolution,[status(thm)],[f68,f18]) ).
fof(f70,plain,
( ~ balloonist(piggy)
| ~ pig(piggy)
| ~ eats_pennybuns(piggy)
| ~ treated_with_respect(piggy)
| dances_on_tightropes(piggy) ),
inference(resolution,[status(thm)],[f69,f27]) ).
fof(f72,definition,
( sQ6_spl
<=> treated_with_respect(piggy) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( sQ6_spl
| ~ treated_with_respect(piggy) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,definition,
( sQ7_spl
<=> pig(piggy) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( sQ7_spl
| ~ pig(piggy) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ6_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f70,f50,f72,f53,f75,f32]) ).
fof(f80,plain,
( sQ6_spl
| ~ liable_to_giddiness(piggy)
| ~ pig(piggy) ),
inference(resolution,[status(thm)],[f74,f17]) ).
fof(f81,plain,
( sQ6_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f80,f75,f35,f72]) ).
fof(f82,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f77,f29]) ).
fof(f83,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f82]) ).
fof(f84,plain,
$false,
inference(sat_refutation,[status(thm)],[f38,f40,f56,f61,f63,f78,f81,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:46:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.037902 seconds
% 0.13/0.41 % CPU time: 0.110239 seconds
% 0.13/0.41 % Total memory used: 14.671 MB
% 0.13/0.41 % Net memory used: 14.300 MB
%------------------------------------------------------------------------------