%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 01:59:51 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 15 unt; 5 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 83 ( 43 ~; 35 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] :
( ~ contains(X,Y)
| ~ label(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( contains(boxc,X)
| contains(boxb,X)
| contains(boxa,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( equal_fruits(Y,Z)
| ~ contains(X,Z)
| ~ contains(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equal_fruits(apples,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equal_fruits(bananas,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
label(boxb,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
label(boxc,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
contains(boxb,apples),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1] :
( ~ contains(X0,X1)
| ~ label(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [X0] :
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [Y,Z] :
( equal_fruits(Y,Z)
| ! [X] :
( ~ contains(X,Z)
| ~ contains(X,Y) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] :
( equal_fruits(X1,X2)
| ~ contains(X0,X2)
| ~ contains(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f31,plain,
~ equal_fruits(apples,bananas),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f32,plain,
~ equal_fruits(bananas,oranges),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f35,plain,
label(boxb,oranges),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f36,plain,
label(boxc,bananas),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f37,plain,
contains(boxb,apples),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f38,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f39,definition,
( sQ0_spl
<=> contains(boxa,bananas) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f40,plain,
( ~ sQ0_spl
| contains(boxa,bananas) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,definition,
( sQ1_spl
<=> contains(boxc,oranges) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f44,plain,
( sQ1_spl
| ~ contains(boxc,oranges) ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f45,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f38,f39,f42]) ).
fof(f47,plain,
~ contains(boxb,oranges),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f48,plain,
~ contains(boxc,bananas),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f53,definition,
( sQ3_spl
<=> contains(boxb,bananas) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( ~ sQ3_spl
| contains(boxb,bananas) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f57,plain,
( contains(boxb,bananas)
| contains(boxa,bananas) ),
inference(resolution,[status(thm)],[f48,f22]) ).
fof(f58,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f39,f53]) ).
fof(f59,plain,
( sQ1_spl
| contains(boxb,oranges)
| contains(boxa,oranges) ),
inference(resolution,[status(thm)],[f44,f22]) ).
fof(f61,definition,
( sQ4_spl
<=> contains(boxa,oranges) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f62,plain,
( ~ sQ4_spl
| contains(boxa,oranges) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,definition,
( sQ5_spl
<=> contains(boxb,oranges) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( ~ sQ5_spl
| contains(boxb,oranges) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( sQ1_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f59,f61,f64,f42]) ).
fof(f75,plain,
! [X0] :
( ~ contains(X0,oranges)
| ~ contains(X0,bananas) ),
inference(resolution,[status(thm)],[f25,f32]) ).
fof(f77,plain,
! [X0] :
( ~ contains(X0,bananas)
| ~ contains(X0,apples) ),
inference(resolution,[status(thm)],[f25,f31]) ).
fof(f88,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f47]) ).
fof(f89,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f88]) ).
fof(f92,plain,
( ~ sQ3_spl
| ~ contains(boxb,apples) ),
inference(resolution,[status(thm)],[f77,f54]) ).
fof(f94,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f37]) ).
fof(f95,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f94]) ).
fof(f98,plain,
( ~ sQ0_spl
| ~ contains(boxa,oranges) ),
inference(resolution,[status(thm)],[f40,f75]) ).
fof(f99,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f62]) ).
fof(f100,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f99]) ).
fof(f101,plain,
$false,
inference(sat_refutation,[status(thm)],[f45,f58,f67,f89,f95,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:45:04 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.036544 seconds
% 0.13/0.40 % CPU time: 0.097154 seconds
% 0.13/0.40 % Total memory used: 13.135 MB
% 0.13/0.40 % Net memory used: 12.834 MB
%------------------------------------------------------------------------------