%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN635-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:20:16 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN635-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:13:21 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f7,negated_conjecture,(
% 0.11/0.40 ~ p3(c23,f8(c24)) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f8,negated_conjecture,(
% 0.11/0.40 (![X80,X81,X82]: (p3(f4(f6(X80,f7(X81,X82))),X81) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f17,negated_conjecture,(
% 0.11/0.40 (![X76,X77,X75]: (( p3(X76,X77)| ~ p3(X75,X76)| ~ p3(X75,X77) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f25,negated_conjecture,(
% 0.11/0.40 ~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f26,negated_conjecture,(
% 0.11/0.40 (![X70]: (( p21(f12(f13(c28,c29)),f12(f13(c28,X70)))| ~ p22(X70,f16(f6(c25,f7(c23,c26)))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f35,negated_conjecture,(
% 0.11/0.40 (![X15,X16,X17]: (( p3(f4(X15),f8(c24))| p22(f19(X15,X16,X17),f16(X15))| p10(f11(X15,c27,X16),f11(X15,c27,X17)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f40,negated_conjecture,(
% 0.11/0.40 (![X15,X16,X17]: (( p3(f4(X15),f8(c24))| p10(f11(X15,c27,X16),f11(X15,c27,X17))| ~ p21(f12(f13(X16,X17)),f12(f13(X16,f19(X15,X16,X17)))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f47,plain,(
% 0.11/0.40 ~p3(c23,f8(c24))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f48,plain,(
% 0.11/0.40 ![X0,X1,X2]: (p3(f4(f6(X0,f7(X1,X2))),X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.40 fof(f60,plain,(
% 0.11/0.40 ![X77,X75]: ((![X76]: (p3(X76,X77)|~p3(X75,X76)))|~p3(X75,X77))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f17])).
% 0.11/0.40 fof(f61,plain,(
% 0.11/0.40 ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f60])).
% 0.11/0.40 fof(f76,plain,(
% 0.11/0.40 ~p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.40 fof(f77,plain,(
% 0.11/0.40 ![X0]: (p21(f12(f13(c28,c29)),f12(f13(c28,X0)))|~p22(X0,f16(f6(c25,f7(c23,c26)))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.40 fof(f91,plain,(
% 0.11/0.40 ![X0,X1,X2]: (p3(f4(X0),f8(c24))|p22(f19(X0,X1,X2),f16(X0))|p10(f11(X0,c27,X1),f11(X0,c27,X2)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.11/0.40 fof(f96,plain,(
% 0.11/0.40 ![X0,X1,X2]: (p3(f4(X0),f8(c24))|p10(f11(X0,c27,X1),f11(X0,c27,X2))|~p21(f12(f13(X1,X2)),f12(f13(X1,f19(X0,X1,X2)))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/0.40 fof(f97,plain,(
% 0.11/0.40 ![X0]: (~p3(X0,c23)|~p3(X0,f8(c24)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f61,f47])).
% 0.11/0.40 fof(f98,plain,(
% 0.11/0.40 ![X0,X1]: (~p3(f4(f6(X0,f7(c23,X1))),f8(c24)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f97,f48])).
% 0.11/0.40 fof(f123,plain,(
% 0.11/0.40 p3(f4(f6(c25,f7(c23,c26))),f8(c24))|p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f76,f91])).
% 0.11/0.40 fof(f126,definition,(
% 0.11/0.40 sQ0_spl <=> (p3(f4(f6(c25,f7(c23,c26))),f8(c24)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f127,plain,(
% 0.11/0.40 p3(f4(f6(c25,f7(c23,c26))),f8(c24))|~sQ0_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f126])).
% 0.11/0.40 fof(f129,definition,(
% 0.11/0.40 sQ1_spl <=> (p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f130,plain,(
% 0.11/0.40 p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))|~sQ1_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f129])).
% 0.11/0.40 fof(f132,plain,(
% 0.11/0.40 sQ0_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f123,f126,f129])).
% 0.11/0.40 fof(f143,plain,(
% 0.11/0.40 $false|~sQ0_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f127,f98])).
% 0.11/0.40 fof(f144,plain,(
% 0.11/0.40 ~sQ0_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f143])).
% 0.11/0.40 fof(f154,plain,(
% 0.11/0.40 p21(f12(f13(c28,c29)),f12(f13(c28,f19(f6(c25,f7(c23,c26)),c28,c29))))|~sQ1_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f130,f77])).
% 0.11/0.40 fof(f276,plain,(
% 0.11/0.40 p3(f4(f6(c25,f7(c23,c26))),f8(c24))|p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))|~sQ1_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f154,f96])).
% 0.11/0.40 fof(f278,definition,(
% 0.11/0.40 sQ13_spl <=> (p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f279,plain,(
% 0.11/0.40 p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))|~sQ13_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f278])).
% 0.11/0.40 fof(f281,plain,(
% 0.11/0.40 sQ0_spl|sQ13_spl|~sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f276,f126,f278,f129])).
% 0.11/0.40 fof(f282,plain,(
% 0.11/0.40 $false|~sQ13_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f279,f76])).
% 0.11/0.40 fof(f283,plain,(
% 0.11/0.40 ~sQ13_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f282])).
% 0.11/0.40 fof(f284,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(sat_refutation,[status(thm)],[f132,f144,f281,f283])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.047408 seconds
% 0.11/0.43 % CPU time: 0.147339 seconds
% 0.11/0.43 % Total memory used: 19.016 MB
% 0.11/0.43 % Net memory used: 18.810 MB
%------------------------------------------------------------------------------