%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN579-1 : 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 : n003.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 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:10:32 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f2,negated_conjecture,(
% 0.08/0.38 (![X21]: (p7(X21,X21) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f5,negated_conjecture,(
% 0.08/0.38 p9(c12,c13) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f6,negated_conjecture,(
% 0.08/0.38 p11(c14,c15) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f7,negated_conjecture,(
% 0.08/0.38 p2(c16,f5(c14)) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f9,negated_conjecture,(
% 0.08/0.38 (![X20]: (p3(f6(f5(X20)),f6(X20)) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f11,negated_conjecture,(
% 0.08/0.38 (![X32]: (( p9(X32,f6(c16))| ~ p9(X32,c13) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f13,negated_conjecture,(
% 0.08/0.38 (![X18,X19]: (( p3(f6(X18),f6(X19))| ~ p2(X18,X19) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f20,negated_conjecture,(
% 0.08/0.38 (![X28,X29,X31,X30]: (( p9(X28,X29)| ~ p7(X31,X28)| ~ p9(X31,X30)| ~ p3(X30,X29) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f22,negated_conjecture,(
% 0.08/0.38 (![X33,X34]: (( p9(f8(X33,X34),X33)| p9(f8(X33,X34),f6(X34))| ~ p11(X34,c15)| ~ p9(c12,X33) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f23,negated_conjecture,(
% 0.08/0.38 (![X34,X33]: (( ~ p11(X34,c15)| ~ p9(c12,X33)| ~ p9(f8(X33,X34),X33)| ~ p9(f8(X33,X34),f6(X34)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f25,plain,(
% 0.08/0.38 ![X0]: (p7(X0,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f28,plain,(
% 0.08/0.38 p9(c12,c13)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.38 fof(f29,plain,(
% 0.08/0.38 p11(c14,c15)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f30,plain,(
% 0.08/0.38 p2(c16,f5(c14))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.38 fof(f32,plain,(
% 0.08/0.38 ![X0]: (p3(f6(f5(X0)),f6(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.38 fof(f34,plain,(
% 0.08/0.38 ![X0]: (p9(X0,f6(c16))|~p9(X0,c13))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.38 fof(f36,plain,(
% 0.08/0.38 ![X0,X1]: (p3(f6(X0),f6(X1))|~p2(X0,X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.38 fof(f48,plain,(
% 0.08/0.38 ![X29,X30]: ((![X31]: ((![X28]: (p9(X28,X29)|~p7(X31,X28)))|~p9(X31,X30)))|~p3(X30,X29))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f20])).
% 0.08/0.38 fof(f49,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (p9(X0,X1)|~p7(X2,X0)|~p9(X2,X3)|~p3(X3,X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f48])).
% 0.08/0.38 fof(f52,plain,(
% 0.08/0.38 ![X33]: ((![X34]: ((p9(f8(X33,X34),X33)|p9(f8(X33,X34),f6(X34)))|~p11(X34,c15)))|~p9(c12,X33))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f22])).
% 0.08/0.38 fof(f53,plain,(
% 0.08/0.38 ![X0,X1]: (p9(f8(X0,X1),X0)|p9(f8(X0,X1),f6(X1))|~p11(X1,c15)|~p9(c12,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.08/0.38 fof(f54,plain,(
% 0.08/0.38 ![X0,X1]: (~p11(X0,c15)|~p9(c12,X1)|~p9(f8(X1,X0),X1)|~p9(f8(X1,X0),f6(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.38 fof(f55,plain,(
% 0.08/0.38 p9(c12,f6(c16))),
% 0.08/0.38 inference(resolution,[status(thm)],[f34,f28])).
% 0.08/0.38 fof(f57,plain,(
% 0.08/0.38 ![X0,X1]: (p9(X0,X1)|~p7(c12,X0)|~p3(f6(c16),X1))),
% 0.08/0.38 inference(resolution,[status(thm)],[f49,f55])).
% 0.08/0.38 fof(f59,plain,(
% 0.08/0.38 ![X0]: (p9(f8(X0,c14),X0)|p9(f8(X0,c14),f6(c14))|~p9(c12,X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f53,f29])).
% 0.08/0.38 fof(f97,plain,(
% 0.08/0.38 ![X0]: (p9(c12,X0)|~p3(f6(c16),X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f57,f25])).
% 0.08/0.38 fof(f98,plain,(
% 0.08/0.38 ![X0]: (p9(c12,f6(X0))|~p2(c16,X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f97,f36])).
% 0.08/0.38 fof(f107,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~p2(c16,X0)|p9(X1,X2)|~p7(c12,X1)|~p3(f6(X0),X2))),
% 0.08/0.38 inference(resolution,[status(thm)],[f98,f49])).
% 0.08/0.38 fof(f189,plain,(
% 0.08/0.38 ![X0,X1]: (~p2(c16,X0)|p9(c12,X1)|~p3(f6(X0),X1))),
% 0.08/0.38 inference(resolution,[status(thm)],[f107,f25])).
% 0.08/0.38 fof(f190,plain,(
% 0.08/0.38 ![X0]: (p9(c12,X0)|~p3(f6(f5(c14)),X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f189,f30])).
% 0.08/0.38 fof(f193,plain,(
% 0.08/0.38 p9(c12,f6(c14))),
% 0.08/0.38 inference(resolution,[status(thm)],[f190,f32])).
% 0.08/0.38 fof(f197,plain,(
% 0.08/0.38 p9(f8(f6(c14),c14),f6(c14))|p9(f8(f6(c14),c14),f6(c14))),
% 0.08/0.38 inference(resolution,[status(thm)],[f193,f59])).
% 0.08/0.38 fof(f199,definition,(
% 0.08/0.38 sQ11_spl <=> (p9(f8(f6(c14),c14),f6(c14)))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f200,plain,(
% 0.08/0.38 p9(f8(f6(c14),c14),f6(c14))|~sQ11_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f199])).
% 0.08/0.38 fof(f202,plain,(
% 0.08/0.38 sQ11_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f197,f199])).
% 0.08/0.38 fof(f219,plain,(
% 0.08/0.38 ~p11(c14,c15)|~p9(c12,f6(c14))|~p9(f8(f6(c14),c14),f6(c14))|~sQ11_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f200,f54])).
% 0.08/0.38 fof(f221,definition,(
% 0.08/0.38 sQ15_spl <=> (p11(c14,c15))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f223,plain,(
% 0.08/0.38 ~p11(c14,c15)|sQ15_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f221])).
% 0.08/0.38 fof(f224,definition,(
% 0.08/0.38 sQ16_spl <=> (p9(c12,f6(c14)))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f226,plain,(
% 0.08/0.38 ~p9(c12,f6(c14))|sQ16_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f224])).
% 0.08/0.38 fof(f227,plain,(
% 0.08/0.38 ~sQ15_spl|~sQ16_spl|~sQ11_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f219,f221,f224,f199])).
% 0.08/0.38 fof(f228,plain,(
% 0.08/0.38 $false|sQ15_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f223,f29])).
% 0.08/0.38 fof(f229,plain,(
% 0.08/0.38 sQ15_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f228])).
% 0.08/0.38 fof(f230,plain,(
% 0.08/0.38 $false|sQ16_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f226,f193])).
% 0.08/0.38 fof(f231,plain,(
% 0.08/0.38 sQ16_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f230])).
% 0.08/0.38 fof(f232,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(sat_refutation,[status(thm)],[f202,f227,f229,f231])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.047108 seconds
% 0.12/0.40 % CPU time: 0.139644 seconds
% 0.12/0.40 % Total memory used: 18.434 MB
% 0.12/0.40 % Net memory used: 17.969 MB
%------------------------------------------------------------------------------