%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:00:14 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 03:44:53 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.32 % Refutation found
% 0.02/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.32 fof(f3,axiom,(
% 0.02/0.32 (![X,Y]: (( ~ label(X,Y)| ~ contains(X,Y) ) ))),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f4,axiom,(
% 0.02/0.32 (![X]: (( contains(boxa,X)| contains(boxb,X)| contains(boxc,X) ) ))),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f6,axiom,(
% 0.02/0.32 (![X,Y,Z]: (( ~ contains(X,Y)| ~ contains(X,Z)| equal_fruits(Y,Z) ) ))),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f11,axiom,(
% 0.02/0.32 ~ equal_fruits(apples,bananas) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f12,axiom,(
% 0.02/0.32 ~ equal_fruits(bananas,oranges) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f15,hypothesis,(
% 0.02/0.32 label(boxb,oranges) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f16,hypothesis,(
% 0.02/0.32 label(boxc,bananas) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f17,hypothesis,(
% 0.02/0.32 contains(boxb,apples) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f18,negated_conjecture,(
% 0.02/0.32 ( ~ contains(boxa,bananas)| ~ contains(boxc,oranges) ) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f21,plain,(
% 0.02/0.32 ![X0,X1]: (~label(X0,X1)|~contains(X0,X1))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.32 fof(f22,plain,(
% 0.02/0.32 ![X0]: (contains(boxa,X0)|contains(boxb,X0)|contains(boxc,X0))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.32 fof(f24,plain,(
% 0.02/0.32 ![Y,Z]: ((![X]: (~contains(X,Y)|~contains(X,Z)))|equal_fruits(Y,Z))),
% 0.02/0.32 inference(miniscoping,[status(thm)],[f6])).
% 0.02/0.32 fof(f25,plain,(
% 0.02/0.32 ![X0,X1,X2]: (~contains(X0,X1)|~contains(X0,X2)|equal_fruits(X1,X2))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f24])).
% 0.02/0.32 fof(f31,plain,(
% 0.02/0.32 ~equal_fruits(apples,bananas)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f11])).
% 0.02/0.32 fof(f32,plain,(
% 0.02/0.32 ~equal_fruits(bananas,oranges)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f12])).
% 0.02/0.32 fof(f35,plain,(
% 0.02/0.32 label(boxb,oranges)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f15])).
% 0.02/0.32 fof(f36,plain,(
% 0.02/0.32 label(boxc,bananas)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f16])).
% 0.02/0.32 fof(f37,plain,(
% 0.02/0.32 contains(boxb,apples)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f17])).
% 0.02/0.32 fof(f38,plain,(
% 0.02/0.32 ~contains(boxa,bananas)|~contains(boxc,oranges)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f18])).
% 0.02/0.32 fof(f39,definition,(
% 0.02/0.32 sQ0_spl <=> (contains(boxa,bananas))),
% 0.02/0.32 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.02/0.32 fof(f40,plain,(
% 0.02/0.32 contains(boxa,bananas)|~sQ0_spl),
% 0.02/0.32 inference(component_clause,[status(thm)],[f39])).
% 0.02/0.32 fof(f42,definition,(
% 0.02/0.32 sQ1_spl <=> (contains(boxc,oranges))),
% 0.02/0.32 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.02/0.32 fof(f44,plain,(
% 0.02/0.32 ~contains(boxc,oranges)|sQ1_spl),
% 0.02/0.32 inference(component_clause,[status(thm)],[f42])).
% 0.02/0.32 fof(f45,plain,(
% 0.02/0.32 ~sQ0_spl|~sQ1_spl),
% 0.02/0.32 inference(split_clause,[status(thm)],[f38,f39,f42])).
% 0.02/0.32 fof(f47,plain,(
% 0.02/0.32 ~contains(boxb,oranges)),
% 0.02/0.32 inference(resolution,[status(thm)],[f35,f21])).
% 0.02/0.32 fof(f48,plain,(
% 0.02/0.32 ~contains(boxc,bananas)),
% 0.02/0.32 inference(resolution,[status(thm)],[f36,f21])).
% 0.02/0.32 fof(f53,definition,(
% 0.02/0.32 sQ3_spl <=> (contains(boxb,bananas))),
% 0.02/0.32 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.02/0.32 fof(f54,plain,(
% 0.02/0.32 contains(boxb,bananas)|~sQ3_spl),
% 0.02/0.32 inference(component_clause,[status(thm)],[f53])).
% 0.02/0.32 fof(f57,plain,(
% 0.02/0.32 contains(boxa,bananas)|contains(boxb,bananas)),
% 0.02/0.32 inference(resolution,[status(thm)],[f48,f22])).
% 0.02/0.32 fof(f58,plain,(
% 0.02/0.32 sQ0_spl|sQ3_spl),
% 0.02/0.32 inference(split_clause,[status(thm)],[f57,f39,f53])).
% 0.02/0.32 fof(f59,plain,(
% 0.02/0.32 contains(boxa,oranges)|contains(boxb,oranges)|sQ1_spl),
% 0.02/0.32 inference(resolution,[status(thm)],[f44,f22])).
% 0.02/0.32 fof(f61,definition,(
% 0.02/0.32 sQ4_spl <=> (contains(boxa,oranges))),
% 0.02/0.32 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.02/0.32 fof(f62,plain,(
% 0.02/0.32 contains(boxa,oranges)|~sQ4_spl),
% 0.02/0.32 inference(component_clause,[status(thm)],[f61])).
% 0.02/0.32 fof(f64,definition,(
% 0.02/0.32 sQ5_spl <=> (contains(boxb,oranges))),
% 0.02/0.32 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.02/0.32 fof(f65,plain,(
% 0.02/0.32 contains(boxb,oranges)|~sQ5_spl),
% 0.02/0.32 inference(component_clause,[status(thm)],[f64])).
% 0.02/0.32 fof(f67,plain,(
% 0.02/0.32 sQ4_spl|sQ5_spl|sQ1_spl),
% 0.02/0.32 inference(split_clause,[status(thm)],[f59,f61,f64,f42])).
% 0.02/0.32 fof(f75,plain,(
% 0.02/0.32 ![X0]: (~contains(X0,bananas)|~contains(X0,oranges))),
% 0.02/0.32 inference(resolution,[status(thm)],[f25,f32])).
% 0.02/0.32 fof(f77,plain,(
% 0.02/0.32 ![X0]: (~contains(X0,apples)|~contains(X0,bananas))),
% 0.02/0.32 inference(resolution,[status(thm)],[f25,f31])).
% 0.02/0.32 fof(f88,plain,(
% 0.02/0.32 $false|~sQ5_spl),
% 0.02/0.32 inference(forward_subsumption_resolution,[status(thm)],[f65,f47])).
% 0.02/0.32 fof(f89,plain,(
% 0.02/0.32 ~sQ5_spl),
% 0.02/0.32 inference(contradiction_clause,[status(thm)],[f88])).
% 0.02/0.32 fof(f92,plain,(
% 0.02/0.32 ~contains(boxb,apples)|~sQ3_spl),
% 0.02/0.32 inference(resolution,[status(thm)],[f77,f54])).
% 0.02/0.32 fof(f94,plain,(
% 0.02/0.32 $false|~sQ3_spl),
% 0.02/0.32 inference(forward_subsumption_resolution,[status(thm)],[f92,f37])).
% 0.02/0.32 fof(f95,plain,(
% 0.02/0.32 ~sQ3_spl),
% 0.02/0.32 inference(contradiction_clause,[status(thm)],[f94])).
% 0.02/0.32 fof(f98,plain,(
% 0.02/0.32 ~contains(boxa,oranges)|~sQ0_spl),
% 0.02/0.32 inference(resolution,[status(thm)],[f40,f75])).
% 0.02/0.32 fof(f99,plain,(
% 0.02/0.32 $false|~sQ4_spl|~sQ0_spl),
% 0.02/0.32 inference(forward_subsumption_resolution,[status(thm)],[f98,f62])).
% 0.02/0.32 fof(f100,plain,(
% 0.02/0.32 ~sQ4_spl|~sQ0_spl),
% 0.02/0.32 inference(contradiction_clause,[status(thm)],[f99])).
% 0.02/0.32 fof(f101,plain,(
% 0.02/0.32 $false),
% 0.02/0.32 inference(sat_refutation,[status(thm)],[f45,f58,f67,f89,f95,f100])).
% 0.02/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.34 % Elapsed time: 0.036119 seconds
% 0.07/0.34 % CPU time: 0.064953 seconds
% 0.07/0.34 % Total memory used: 16.857 MB
% 0.07/0.34 % Net memory used: 16.483 MB
%------------------------------------------------------------------------------