%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN636-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN636-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 11:13:46 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f7,negated_conjecture,(
% 0.12/0.39 ~ p3(c23,f8(c24)) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,negated_conjecture,(
% 0.12/0.39 (![X80,X81,X82]: (p3(f4(f6(X80,f7(X81,X82))),X81) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,negated_conjecture,(
% 0.12/0.39 (![X76,X77,X75]: (( p3(X76,X77)| ~ p3(X75,X76)| ~ p3(X75,X77) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f25,negated_conjecture,(
% 0.12/0.39 ~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,negated_conjecture,(
% 0.12/0.39 (![X69]: (( p21(f12(f13(c28,c29)),f12(f13(c28,X69)))| ~ p22(X69,f15(f6(c25,f7(c23,c26)))) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,negated_conjecture,(
% 0.12/0.39 (![X18,X19,X20]: (( p3(f4(X18),f8(c24))| p22(f20(X18,X19,X20),f15(X18))| p10(f11(X18,c27,X19),f11(X18,c27,X20)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f37,negated_conjecture,(
% 0.12/0.39 (![X18,X19,X20]: (( p3(f4(X18),f8(c24))| p10(f11(X18,c27,X19),f11(X18,c27,X20))| ~ p21(f12(f13(X19,X20)),f12(f13(X19,f20(X18,X19,X20)))) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 ~p3(c23,f8(c24))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 ![X0,X1,X2]: (p3(f4(f6(X0,f7(X1,X2))),X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 ![X77,X75]: ((![X76]: (p3(X76,X77)|~p3(X75,X76)))|~p3(X75,X77))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f17])).
% 0.12/0.39 fof(f61,plain,(
% 0.12/0.39 ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f60])).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 ~p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 ![X0]: (p21(f12(f13(c28,c29)),f12(f13(c28,X0)))|~p22(X0,f15(f6(c25,f7(c23,c26)))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f90,plain,(
% 0.12/0.39 ![X0,X1,X2]: (p3(f4(X0),f8(c24))|p22(f20(X0,X1,X2),f15(X0))|p10(f11(X0,c27,X1),f11(X0,c27,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f93,plain,(
% 0.12/0.39 ![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,f20(X0,X1,X2)))))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.39 fof(f97,plain,(
% 0.12/0.39 ![X0]: (~p3(X0,c23)|~p3(X0,f8(c24)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f61,f47])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 ![X0,X1]: (~p3(f4(f6(X0,f7(c23,X1))),f8(c24)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f97,f48])).
% 0.12/0.39 fof(f127,plain,(
% 0.12/0.39 p3(f4(f6(c25,f7(c23,c26))),f8(c24))|p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f90,f76])).
% 0.12/0.39 fof(f128,definition,(
% 0.12/0.39 sQ3_spl <=> (p3(f4(f6(c25,f7(c23,c26))),f8(c24)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f129,plain,(
% 0.12/0.39 p3(f4(f6(c25,f7(c23,c26))),f8(c24))|~sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f128])).
% 0.12/0.39 fof(f131,definition,(
% 0.12/0.39 sQ4_spl <=> (p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f132,plain,(
% 0.12/0.39 p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))|~sQ4_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f131])).
% 0.12/0.39 fof(f134,plain,(
% 0.12/0.39 sQ3_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f127,f128,f131])).
% 0.12/0.39 fof(f135,plain,(
% 0.12/0.39 $false|~sQ3_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f129,f98])).
% 0.12/0.39 fof(f136,plain,(
% 0.12/0.39 ~sQ3_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f135])).
% 0.12/0.39 fof(f150,plain,(
% 0.12/0.39 p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29))))|~sQ4_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f132,f78])).
% 0.12/0.39 fof(f193,plain,(
% 0.12/0.39 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))|~sQ4_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f150,f93])).
% 0.12/0.40 fof(f195,definition,(
% 0.12/0.40 sQ11_spl <=> (p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f196,plain,(
% 0.12/0.40 p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))|~sQ11_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f195])).
% 0.12/0.40 fof(f198,plain,(
% 0.12/0.40 sQ3_spl|sQ11_spl|~sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f193,f128,f195,f131])).
% 0.12/0.40 fof(f199,plain,(
% 0.12/0.40 $false|~sQ11_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f196,f76])).
% 0.12/0.40 fof(f200,plain,(
% 0.12/0.40 ~sQ11_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f199])).
% 0.12/0.40 fof(f201,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f134,f136,f198,f200])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.056762 seconds
% 0.12/0.41 % CPU time: 0.200981 seconds
% 0.12/0.41 % Total memory used: 20.180 MB
% 0.12/0.41 % Net memory used: 19.844 MB
%------------------------------------------------------------------------------