%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN576-1 : 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 : 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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN576-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n016.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 11:13:53 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,negated_conjecture,(
% 0.13/0.40 (![X42]: (p8(X42,X42) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,negated_conjecture,(
% 0.13/0.40 (![X34]: (p4(X34,X34) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,negated_conjecture,(
% 0.13/0.40 (![X37]: (p5(X37,X37) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,negated_conjecture,(
% 0.13/0.40 p12(c15,f6(c13)) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,negated_conjecture,(
% 0.13/0.40 p12(c16,f6(c13)) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,negated_conjecture,(
% 0.13/0.40 (![X4,X5]: (( p11(X4,X5)| p11(X5,X4) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,negated_conjecture,(
% 0.13/0.40 (![X22,X23]: (p2(f3(X22,X23),f3(X23,X22)) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f16,negated_conjecture,(
% 0.13/0.40 (![X6,X7,X8,X9]: (( p12(X6,X7)| ~ p2(X8,X6)| ~ p5(X9,X7)| ~ p12(X8,X9) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f17,negated_conjecture,(
% 0.13/0.40 ~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,negated_conjecture,(
% 0.13/0.40 (![X24,X25,X26,X27]: (( p2(f7(X24,X25),f7(X26,X27))| ~ p2(X24,X26)| ~ p2(X25,X27) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,negated_conjecture,(
% 0.13/0.40 (![X28,X29,X30,X31,X32,X33]: (( p2(f9(X28,X29,X30),f9(X31,X32,X33))| ~ p4(X28,X31)| ~ p8(X29,X32)| ~ p2(X30,X33) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,negated_conjecture,(
% 0.13/0.40 (![X10,X11,X12]: (( p12(f7(f9(X10,c14,f3(X11,X12)),f3(X11,X12)),f6(X10))| ~ p12(X12,f6(X10))| ~ p12(X11,f6(X10))| ~ p11(f10(X11),f10(X12)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 ![X0]: (p8(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f25,plain,(
% 0.13/0.40 ![X0]: (p4(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 ![X0]: (p5(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f27,plain,(
% 0.13/0.40 p12(c15,f6(c13))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 p12(c16,f6(c13))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 ![X0,X1]: (p11(X0,X1)|p11(X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 ![X0,X1]: (p2(f3(X0,X1),f3(X1,X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 ![X8,X9]: ((![X7]: ((![X6]: (p12(X6,X7)|~p2(X8,X6)))|~p5(X9,X7)))|~p12(X8,X9))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (p12(X0,X1)|~p2(X2,X0)|~p5(X3,X1)|~p12(X2,X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 ~p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 ![X25,X27]: ((![X24,X26]: (p2(f7(X24,X25),f7(X26,X27))|~p2(X24,X26)))|~p2(X25,X27))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f19])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (p2(f7(X0,X1),f7(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 ![X30,X33]: ((![X29,X32]: ((![X28,X31]: (p2(f9(X28,X29,X30),f9(X31,X32,X33))|~p4(X28,X31)))|~p8(X29,X32)))|~p2(X30,X33))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f20])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5]: (p2(f9(X0,X1,X2),f9(X3,X4,X5))|~p4(X0,X3)|~p8(X1,X4)|~p2(X2,X5))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 ![X11,X12]: ((![X10]: ((p12(f7(f9(X10,c14,f3(X11,X12)),f3(X11,X12)),f6(X10))|~p12(X12,f6(X10)))|~p12(X11,f6(X10))))|~p11(f10(X11),f10(X12)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 ![X0,X1,X2]: (p12(f7(f9(X0,c14,f3(X1,X2)),f3(X1,X2)),f6(X0))|~p12(X2,f6(X0))|~p12(X1,f6(X0))|~p11(f10(X1),f10(X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f54])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 ![X0,X1]: (~p2(X0,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))|~p5(X1,f6(c13))|~p12(X0,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f45,f44])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 ![X0]: (~p2(X0,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))|~p12(X0,f6(c13)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f56,f26])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 ![X0,X1]: (~p12(f7(X0,X1),f6(c13))|~p2(X0,f9(c13,c14,f3(c15,c16)))|~p2(X1,f3(c15,c16)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f59,f49])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 ~p12(c16,f6(c13))|~p12(c15,f6(c13))|~p11(f10(c15),f10(c16))),
% 0.13/0.40 inference(resolution,[status(thm)],[f55,f45])).
% 0.13/0.40 fof(f64,definition,(
% 0.13/0.40 sQ0_spl <=> (p12(c16,f6(c13)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 ~p12(c16,f6(c13))|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f64])).
% 0.13/0.40 fof(f67,definition,(
% 0.13/0.40 sQ1_spl <=> (p12(c15,f6(c13)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 ~p12(c15,f6(c13))|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.13/0.40 fof(f70,definition,(
% 0.13/0.40 sQ2_spl <=> (p11(f10(c15),f10(c16)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 ~p11(f10(c15),f10(c16))|sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.40 fof(f73,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f64,f67,f70])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 p11(f10(c16),f10(c15))|sQ2_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f72,f29])).
% 0.13/0.40 fof(f85,plain,(
% 0.13/0.40 ![X0,X1]: (~p2(f9(c13,c14,f3(X0,X1)),f9(c13,c14,f3(c15,c16)))|~p2(f3(X0,X1),f3(c15,c16))|~p12(X1,f6(c13))|~p12(X0,f6(c13))|~p11(f10(X0),f10(X1)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f60,f55])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 ![X0,X1]: (~p2(f3(X0,X1),f3(c15,c16))|~p12(X1,f6(c13))|~p12(X0,f6(c13))|~p11(f10(X0),f10(X1))|~p4(c13,c13)|~p8(c14,c14)|~p2(f3(X0,X1),f3(c15,c16)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f85,f51])).
% 0.13/0.40 fof(f117,definition,(
% 0.13/0.40 ![X0,X1]: (sQ3_spl <=> (~p2(f3(X0,X1),f3(c15,c16))|~p12(X1,f6(c13))|~p12(X0,f6(c13))|~p11(f10(X0),f10(X1))|~p2(f3(X0,X1),f3(c15,c16))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 ![X0,X1]: (~p2(f3(X0,X1),f3(c15,c16))|~p12(X1,f6(c13))|~p12(X0,f6(c13))|~p11(f10(X0),f10(X1))|~p2(f3(X0,X1),f3(c15,c16))|~sQ3_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.40 fof(f120,definition,(
% 0.13/0.40 sQ4_spl <=> (p4(c13,c13))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 ~p4(c13,c13)|sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f120])).
% 0.13/0.40 fof(f123,definition,(
% 0.13/0.40 sQ5_spl <=> (p8(c14,c14))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 ~p8(c14,c14)|sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f123])).
% 0.13/0.40 fof(f126,plain,(
% 0.13/0.40 sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f114,f117,f120,f123])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 $false|sQ1_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f69,f27])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f131])).
% 0.13/0.40 fof(f133,plain,(
% 0.13/0.40 $false|sQ0_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f66,f28])).
% 0.13/0.40 fof(f134,plain,(
% 0.13/0.40 sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f133])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 $false|sQ5_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f125,f23])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 sQ5_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f137])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 ![X0,X1]: (~p2(f3(X0,X1),f3(c15,c16))|~p12(X1,f6(c13))|~p12(X0,f6(c13))|~p11(f10(X0),f10(X1))|~sQ3_spl)),
% 0.13/0.40 inference(duplicate_literals_removal,[status(thm)],[f118])).
% 0.13/0.40 fof(f151,plain,(
% 0.13/0.40 $false|sQ4_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f122,f25])).
% 0.13/0.40 fof(f152,plain,(
% 0.13/0.40 sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f151])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 ~p12(c15,f6(c13))|~p12(c16,f6(c13))|~p11(f10(c16),f10(c15))|~sQ3_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f139,f30])).
% 0.13/0.40 fof(f218,definition,(
% 0.13/0.40 sQ10_spl <=> (p11(f10(c16),f10(c15)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f220,plain,(
% 0.13/0.40 ~p11(f10(c16),f10(c15))|sQ10_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f218])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 ~sQ1_spl|~sQ0_spl|~sQ10_spl|~sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f215,f67,f64,f218,f117])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 $false|sQ2_spl|sQ10_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f220,f75])).
% 0.13/0.40 fof(f224,plain,(
% 0.13/0.40 sQ2_spl|sQ10_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f223])).
% 0.13/0.40 fof(f225,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f73,f126,f132,f134,f138,f152,f221,f224])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.043578 seconds
% 0.13/0.40 % CPU time: 0.192122 seconds
% 0.13/0.40 % Total memory used: 10.827 MB
% 0.13/0.40 % Net memory used: 10.227 MB
%------------------------------------------------------------------------------