%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN634-1 : 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 : n010.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 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN634-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n010.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Mon Sep 21 11:10:55 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f7,negated_conjecture,(
% 0.08/0.37 ~ p3(c23,f8(c24)) ),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f8,negated_conjecture,(
% 0.08/0.37 (![X80,X81,X82]: (p3(f4(f6(X80,f7(X81,X82))),X81) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f17,negated_conjecture,(
% 0.08/0.37 (![X76,X77,X75]: (( p3(X76,X77)| ~ p3(X75,X76)| ~ p3(X75,X77) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f25,negated_conjecture,(
% 0.08/0.37 ~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f26,negated_conjecture,(
% 0.08/0.37 (![X70]: (( p21(f12(f13(c28,c29)),f12(f13(c28,X70)))| ~ p22(X70,f16(f6(c25,f7(c23,c26)))) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f36,negated_conjecture,(
% 0.08/0.37 (![X12,X13,X14]: (( p3(f4(X12),f8(c24))| p22(f18(X12,X13,X14),f16(X12))| p10(f11(X12,c27,X13),f11(X12,c27,X14)) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f39,negated_conjecture,(
% 0.08/0.37 (![X12,X13,X14]: (( p3(f4(X12),f8(c24))| p10(f11(X12,c27,X13),f11(X12,c27,X14))| ~ p21(f12(f13(X13,X14)),f12(f13(X13,f18(X12,X13,X14)))) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f47,plain,(
% 0.08/0.37 ~p3(c23,f8(c24))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.37 fof(f48,plain,(
% 0.08/0.37 ![X0,X1,X2]: (p3(f4(f6(X0,f7(X1,X2))),X1))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.37 fof(f60,plain,(
% 0.08/0.37 ![X77,X75]: ((![X76]: (p3(X76,X77)|~p3(X75,X76)))|~p3(X75,X77))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f17])).
% 0.08/0.37 fof(f61,plain,(
% 0.08/0.37 ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f60])).
% 0.08/0.37 fof(f76,plain,(
% 0.08/0.37 ~p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.37 fof(f77,plain,(
% 0.08/0.37 ![X0]: (p21(f12(f13(c28,c29)),f12(f13(c28,X0)))|~p22(X0,f16(f6(c25,f7(c23,c26)))))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/0.37 fof(f92,plain,(
% 0.08/0.37 ![X0,X1,X2]: (p3(f4(X0),f8(c24))|p22(f18(X0,X1,X2),f16(X0))|p10(f11(X0,c27,X1),f11(X0,c27,X2)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f36])).
% 0.08/0.37 fof(f95,plain,(
% 0.08/0.37 ![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,f18(X0,X1,X2)))))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f39])).
% 0.08/0.37 fof(f97,plain,(
% 0.08/0.37 ![X0]: (~p3(X0,c23)|~p3(X0,f8(c24)))),
% 0.08/0.37 inference(resolution,[status(thm)],[f61,f47])).
% 0.08/0.37 fof(f98,plain,(
% 0.08/0.37 ![X0,X1]: (~p3(f4(f6(X0,f7(c23,X1))),f8(c24)))),
% 0.08/0.37 inference(resolution,[status(thm)],[f97,f48])).
% 0.08/0.37 fof(f184,plain,(
% 0.08/0.37 p3(f4(f6(c25,f7(c23,c26))),f8(c24))|p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))),
% 0.08/0.37 inference(resolution,[status(thm)],[f92,f76])).
% 0.08/0.37 fof(f185,definition,(
% 0.08/0.37 sQ5_spl <=> (p3(f4(f6(c25,f7(c23,c26))),f8(c24)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f186,plain,(
% 0.08/0.37 p3(f4(f6(c25,f7(c23,c26))),f8(c24))|~sQ5_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f185])).
% 0.08/0.37 fof(f188,definition,(
% 0.08/0.37 sQ6_spl <=> (p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f189,plain,(
% 0.08/0.37 p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))|~sQ6_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f188])).
% 0.08/0.37 fof(f191,plain,(
% 0.08/0.37 sQ5_spl|sQ6_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f184,f185,f188])).
% 0.08/0.37 fof(f240,plain,(
% 0.08/0.37 $false|~sQ5_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f186,f98])).
% 0.08/0.37 fof(f241,plain,(
% 0.08/0.37 ~sQ5_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f240])).
% 0.08/0.37 fof(f242,plain,(
% 0.08/0.37 p21(f12(f13(c28,c29)),f12(f13(c28,f18(f6(c25,f7(c23,c26)),c28,c29))))|~sQ6_spl),
% 0.08/0.37 inference(resolution,[status(thm)],[f189,f77])).
% 0.08/0.37 fof(f378,plain,(
% 0.08/0.37 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))|~sQ6_spl),
% 0.08/0.37 inference(resolution,[status(thm)],[f242,f95])).
% 0.08/0.37 fof(f380,definition,(
% 0.08/0.37 sQ15_spl <=> (p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f381,plain,(
% 0.08/0.37 p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))|~sQ15_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f380])).
% 0.08/0.37 fof(f383,plain,(
% 0.08/0.37 sQ5_spl|sQ15_spl|~sQ6_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f378,f185,f380,f188])).
% 0.08/0.37 fof(f384,plain,(
% 0.08/0.37 $false|~sQ15_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f381,f76])).
% 0.08/0.37 fof(f385,plain,(
% 0.08/0.37 ~sQ15_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f384])).
% 0.08/0.37 fof(f386,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(sat_refutation,[status(thm)],[f191,f241,f383,f385])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.052083 seconds
% 0.14/0.39 % CPU time: 0.161681 seconds
% 0.14/0.39 % Total memory used: 19.251 MB
% 0.14/0.39 % Net memory used: 19.067 MB
%------------------------------------------------------------------------------