%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN099-1.003 : 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 03:18:57 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 : SYN099-1.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 21 10:43:06 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.31 % 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(f1,negated_conjecture,(
% 0.02/0.32 (![X]: (~ p_1_3(X) ))),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f2,axiom,(
% 0.02/0.32 (![X]: (( p_1_2(X)| ~ p_2_2(X)| ~ p_1_1(X) ) ))),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f4,axiom,(
% 0.02/0.32 (![X]: (( p_1_3(X)| ~ p_2_3(X)| ~ p_1_2(X) ) ))),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f6,axiom,(
% 0.02/0.32 (![X]: (( p_2_3(X)| ~ p_3_3(X)| ~ p_2_2(X) ) ))),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f20,axiom,(
% 0.02/0.32 p_1_1(a) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f22,axiom,(
% 0.02/0.32 p_2_2(a) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f24,axiom,(
% 0.02/0.32 p_3_3(a) ),
% 0.02/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f51,plain,(
% 0.02/0.32 ![X0]: (~p_1_3(X0))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/0.32 fof(f52,plain,(
% 0.02/0.32 ![X0]: (p_1_2(X0)|~p_2_2(X0)|~p_1_1(X0))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.32 fof(f54,plain,(
% 0.02/0.32 ![X0]: (p_1_3(X0)|~p_2_3(X0)|~p_1_2(X0))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.32 fof(f56,plain,(
% 0.02/0.32 ![X0]: (p_2_3(X0)|~p_3_3(X0)|~p_2_2(X0))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f6])).
% 0.02/0.32 fof(f70,plain,(
% 0.02/0.32 p_1_1(a)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f20])).
% 0.02/0.32 fof(f72,plain,(
% 0.02/0.32 p_2_2(a)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f22])).
% 0.02/0.32 fof(f74,plain,(
% 0.02/0.32 p_3_3(a)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f24])).
% 0.02/0.32 fof(f101,plain,(
% 0.02/0.32 ![X0]: (~p_2_3(X0)|~p_1_2(X0))),
% 0.02/0.32 inference(forward_subsumption_resolution,[status(thm)],[f54,f51])).
% 0.02/0.32 fof(f103,plain,(
% 0.02/0.32 p_1_2(a)|~p_2_2(a)),
% 0.02/0.32 inference(resolution,[status(thm)],[f70,f52])).
% 0.02/0.32 fof(f104,definition,(
% 0.02/0.32 sQ0_spl <=> (p_1_2(a))),
% 0.02/0.32 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.02/0.32 fof(f105,plain,(
% 0.02/0.32 p_1_2(a)|~sQ0_spl),
% 0.02/0.32 inference(component_clause,[status(thm)],[f104])).
% 0.02/0.32 fof(f107,definition,(
% 0.02/0.32 sQ1_spl <=> (p_2_2(a))),
% 0.02/0.32 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.02/0.32 fof(f109,plain,(
% 0.02/0.32 ~p_2_2(a)|sQ1_spl),
% 0.02/0.32 inference(component_clause,[status(thm)],[f107])).
% 0.02/0.32 fof(f110,plain,(
% 0.02/0.32 sQ0_spl|~sQ1_spl),
% 0.02/0.32 inference(split_clause,[status(thm)],[f103,f104,f107])).
% 0.02/0.32 fof(f116,plain,(
% 0.02/0.32 p_2_3(a)|~p_2_2(a)),
% 0.02/0.32 inference(resolution,[status(thm)],[f56,f74])).
% 0.02/0.32 fof(f117,definition,(
% 0.02/0.32 sQ3_spl <=> (p_2_3(a))),
% 0.02/0.32 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.02/0.32 fof(f118,plain,(
% 0.02/0.32 p_2_3(a)|~sQ3_spl),
% 0.02/0.32 inference(component_clause,[status(thm)],[f117])).
% 0.02/0.32 fof(f120,plain,(
% 0.02/0.32 sQ3_spl|~sQ1_spl),
% 0.02/0.32 inference(split_clause,[status(thm)],[f116,f117,f107])).
% 0.02/0.32 fof(f121,plain,(
% 0.02/0.32 $false|sQ1_spl),
% 0.02/0.32 inference(forward_subsumption_resolution,[status(thm)],[f109,f72])).
% 0.02/0.32 fof(f122,plain,(
% 0.02/0.32 sQ1_spl),
% 0.02/0.32 inference(contradiction_clause,[status(thm)],[f121])).
% 0.02/0.32 fof(f123,plain,(
% 0.02/0.32 ~p_1_2(a)|~sQ3_spl),
% 0.02/0.32 inference(resolution,[status(thm)],[f118,f101])).
% 0.02/0.32 fof(f124,plain,(
% 0.02/0.32 $false|~sQ0_spl|~sQ3_spl),
% 0.02/0.32 inference(forward_subsumption_resolution,[status(thm)],[f123,f105])).
% 0.02/0.32 fof(f125,plain,(
% 0.02/0.32 ~sQ0_spl|~sQ3_spl),
% 0.02/0.32 inference(contradiction_clause,[status(thm)],[f124])).
% 0.02/0.32 fof(f126,plain,(
% 0.02/0.32 $false),
% 0.02/0.32 inference(sat_refutation,[status(thm)],[f110,f120,f122,f125])).
% 0.02/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.33 % Elapsed time: 0.025725 seconds
% 0.07/0.33 % CPU time: 0.049609 seconds
% 0.07/0.33 % Total memory used: 15.283 MB
% 0.07/0.33 % Net memory used: 15.266 MB
%------------------------------------------------------------------------------