%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN575-1 : 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 : n016.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 03:20:10 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN575-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n016.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 11:13:52 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 (![X21]: (p7(X21,X21) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,negated_conjecture,(
% 0.13/0.38 (![X12]: (p3(X12,X12) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,negated_conjecture,(
% 0.13/0.38 (![X7]: (p2(X7,X7) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 p9(c12,c13) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,negated_conjecture,(
% 0.13/0.38 p11(c14,c15) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,negated_conjecture,(
% 0.13/0.38 (![X20]: (p3(f6(f5(X20)),f6(X20)) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,negated_conjecture,(
% 0.13/0.38 (![X32]: (( p9(X32,c13)| ~ p9(X32,f6(c14)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,negated_conjecture,(
% 0.13/0.38 (![X32]: (( p9(X32,f6(c14))| ~ p9(X32,c13) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,negated_conjecture,(
% 0.13/0.38 (![X13,X14,X12]: (( p3(X13,X14)| ~ p3(X12,X13)| ~ p3(X12,X14) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f19,negated_conjecture,(
% 0.13/0.38 (![X28,X29,X31,X30]: (( p9(X28,X29)| ~ p7(X31,X28)| ~ p9(X31,X30)| ~ p3(X30,X29) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f21,negated_conjecture,(
% 0.13/0.38 (![X33,X34,X35]: (( p9(f8(X33,X34),X33)| p9(f8(X33,X34),f6(X34))| ~ p11(X35,c15)| ~ p9(c12,X33)| ~ p2(X34,f5(X35)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f22,negated_conjecture,(
% 0.13/0.38 (![X35,X33,X34]: (( ~ p11(X35,c15)| ~ p9(c12,X33)| ~ p2(X34,f5(X35))| ~ p9(f8(X33,X34),X33)| ~ p9(f8(X33,X34),f6(X34)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ![X0]: (p7(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0]: (p3(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X0]: (p2(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 p9(c12,c13)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 p11(c14,c15)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ![X0]: (p3(f6(f5(X0)),f6(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 ![X0]: (p9(X0,c13)|~p9(X0,f6(c14)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ![X0]: (p9(X0,f6(c14))|~p9(X0,c13))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 ![X14,X12]: ((![X13]: (p3(X13,X14)|~p3(X12,X13)))|~p3(X12,X14))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 ![X29,X30]: ((![X31]: ((![X28]: (p9(X28,X29)|~p7(X31,X28)))|~p9(X31,X30)))|~p3(X30,X29))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f19])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (p9(X0,X1)|~p7(X2,X0)|~p9(X2,X3)|~p3(X3,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 ![X34,X35]: ((![X33]: (((p9(f8(X33,X34),X33)|p9(f8(X33,X34),f6(X34)))|~p11(X35,c15))|~p9(c12,X33)))|~p2(X34,f5(X35)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f21])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 ![X0,X1,X2]: (p9(f8(X0,X1),X0)|p9(f8(X0,X1),f6(X1))|~p11(X2,c15)|~p9(c12,X0)|~p2(X1,f5(X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 ![X33,X34]: (((![X35]: ((~p11(X35,c15)|~p9(c12,X33))|~p2(X34,f5(X35))))|~p9(f8(X33,X34),X33))|~p9(f8(X33,X34),f6(X34)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~p11(X0,c15)|~p9(c12,X1)|~p2(X2,f5(X0))|~p9(f8(X1,X2),X1)|~p9(f8(X1,X2),f6(X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 p9(c12,f6(c14))),
% 0.13/0.38 inference(resolution,[status(thm)],[f32,f27])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.38 ![X0,X1]: (p3(f6(X0),X1)|~p3(f6(f5(X0)),X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f41,f30])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 ![X0,X1]: (p9(f8(c13,X0),c13)|p9(f8(c13,X0),f6(X0))|~p11(X1,c15)|~p2(X0,f5(X1)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f51,f27])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 ![X0]: (p9(f8(c13,f5(X0)),c13)|p9(f8(c13,f5(X0)),f6(f5(X0)))|~p11(X0,c15))),
% 0.13/0.38 inference(resolution,[status(thm)],[f66,f26])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 p9(f8(c13,f5(c14)),c13)|p9(f8(c13,f5(c14)),f6(f5(c14)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f67,f28])).
% 0.13/0.38 fof(f69,definition,(
% 0.13/0.38 sQ0_spl <=> (p9(f8(c13,f5(c14)),c13))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f70,plain,(
% 0.13/0.38 p9(f8(c13,f5(c14)),c13)|~sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.38 fof(f72,definition,(
% 0.13/0.38 sQ1_spl <=> (p9(f8(c13,f5(c14)),f6(f5(c14))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 p9(f8(c13,f5(c14)),f6(f5(c14)))|~sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f72])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 ~p9(f8(c13,f5(c14)),f6(f5(c14)))|sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f72])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f68,f69,f72])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 ![X0,X1,X2]: (p9(X0,X1)|~p9(X0,X2)|~p3(X2,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f47,f24])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 ![X0,X1]: (~p11(X0,c15)|~p9(c12,X1)|~p9(f8(X1,f5(X0)),X1)|~p9(f8(X1,f5(X0)),f6(f5(X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f53,f26])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 ![X0]: (p3(f6(X0),f6(f5(X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f61,f25])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 p9(f8(c13,f5(c14)),f6(c14))|~sQ0_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f70,f32])).
% 0.13/0.38 fof(f101,plain,(
% 0.13/0.38 ![X0]: (p9(c12,X0)|~p3(f6(c14),X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f86,f54])).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 ~p11(c14,c15)|~p9(c12,c13)|~p9(f8(c13,f5(c14)),f6(f5(c14)))|~sQ0_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f88,f70])).
% 0.13/0.38 fof(f116,definition,(
% 0.13/0.38 sQ4_spl <=> (p11(c14,c15))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 ~p11(c14,c15)|sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f116])).
% 0.13/0.38 fof(f119,definition,(
% 0.13/0.38 sQ5_spl <=> (p9(c12,c13))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f121,plain,(
% 0.13/0.38 ~p9(c12,c13)|sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f119])).
% 0.13/0.38 fof(f122,plain,(
% 0.13/0.38 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ0_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f115,f116,f119,f72,f69])).
% 0.13/0.38 fof(f123,plain,(
% 0.13/0.38 $false|sQ5_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f121,f27])).
% 0.13/0.38 fof(f124,plain,(
% 0.13/0.38 sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f123])).
% 0.13/0.38 fof(f125,plain,(
% 0.13/0.38 $false|sQ4_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f118,f28])).
% 0.13/0.38 fof(f126,plain,(
% 0.13/0.38 sQ4_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f125])).
% 0.13/0.38 fof(f128,plain,(
% 0.13/0.38 p9(c12,f6(f5(c14)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f101,f90])).
% 0.13/0.38 fof(f146,plain,(
% 0.13/0.38 ![X0,X1]: (p9(f8(f6(f5(c14)),X0),f6(f5(c14)))|p9(f8(f6(f5(c14)),X0),f6(X0))|~p11(X1,c15)|~p2(X0,f5(X1)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f128,f51])).
% 0.13/0.38 fof(f148,plain,(
% 0.13/0.38 ![X0]: (p9(f8(f6(f5(c14)),f5(X0)),f6(f5(c14)))|p9(f8(f6(f5(c14)),f5(X0)),f6(f5(X0)))|~p11(X0,c15))),
% 0.13/0.38 inference(resolution,[status(thm)],[f146,f26])).
% 0.13/0.38 fof(f149,plain,(
% 0.13/0.38 p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))|p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f148,f28])).
% 0.13/0.38 fof(f150,definition,(
% 0.13/0.38 sQ6_spl <=> (p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f153,plain,(
% 0.13/0.38 sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f149,f150])).
% 0.13/0.38 fof(f177,plain,(
% 0.13/0.38 ![X0]: (p9(f8(c13,f5(c14)),X0)|~p3(f6(c14),X0)|~sQ0_spl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f99,f86])).
% 0.13/0.38 fof(f217,definition,(
% 0.13/0.38 sQ11_spl <=> (p9(c12,f6(c14)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f219,plain,(
% 0.13/0.38 ~p9(c12,f6(c14))|sQ11_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f217])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 $false|sQ11_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f219,f54])).
% 0.13/0.40 fof(f222,plain,(
% 0.13/0.40 sQ11_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f221])).
% 0.13/0.40 fof(f283,plain,(
% 0.13/0.40 p9(f8(c13,f5(c14)),f6(f5(c14)))|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f177,f90])).
% 0.13/0.40 fof(f285,plain,(
% 0.13/0.40 $false|sQ1_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f283,f74])).
% 0.13/0.40 fof(f286,plain,(
% 0.13/0.40 sQ1_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f285])).
% 0.13/0.40 fof(f287,plain,(
% 0.13/0.40 ![X0]: (p9(f8(c13,f5(c14)),X0)|~p3(f6(f5(c14)),X0)|~sQ1_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f73,f86])).
% 0.13/0.40 fof(f288,plain,(
% 0.13/0.40 p9(f8(c13,f5(c14)),f6(c14))|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f287,f30])).
% 0.13/0.40 fof(f306,plain,(
% 0.13/0.40 p9(f8(c13,f5(c14)),c13)|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f288,f31])).
% 0.13/0.40 fof(f308,plain,(
% 0.13/0.40 sQ0_spl|~sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f306,f69,f72])).
% 0.13/0.40 fof(f309,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f75,f122,f124,f126,f153,f222,f286,f308])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.050476 seconds
% 0.13/0.40 % CPU time: 0.193358 seconds
% 0.13/0.40 % Total memory used: 19.231 MB
% 0.13/0.40 % Net memory used: 18.615 MB
%------------------------------------------------------------------------------