%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL058-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:09:01 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL058-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:07:34 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,axiom,(
% 0.14/0.37 (![X1,X2]: (response(response(lark,X1),X2) = response(X1,response(X2,X2)) ))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,negated_conjecture,(
% 0.14/0.37 response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f3,plain,(
% 0.14/0.37 ![X0,X1]: (response(response(lark,X0),X1)=response(X0,response(X1,X1)))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.37 fof(f4,plain,(
% 0.14/0.37 ~response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))=response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.37 fof(f5,definition,(
% 0.14/0.37 sF3_fnc=response(lark,lark)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.14/0.37 fof(f6,definition,(
% 0.14/0.37 sF4_fnc=response(lark,sF3_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 0.14/0.37 fof(f7,definition,(
% 0.14/0.37 sF2_fnc=response(sF3_fnc,sF4_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.14/0.37 fof(f8,definition,(
% 0.14/0.37 sF5_fnc=response(lark,sF3_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 0.14/0.37 fof(f9,definition,(
% 0.14/0.37 sF1_fnc=response(sF2_fnc,sF5_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.14/0.37 fof(f10,definition,(
% 0.14/0.37 sF8_fnc=response(lark,sF3_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition])).
% 0.14/0.37 fof(f11,definition,(
% 0.14/0.37 sF7_fnc=response(sF3_fnc,sF8_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 0.14/0.37 fof(f12,definition,(
% 0.14/0.37 sF9_fnc=response(lark,sF3_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition])).
% 0.14/0.37 fof(f13,definition,(
% 0.14/0.37 sF6_fnc=response(sF7_fnc,sF9_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 0.14/0.37 fof(f14,definition,(
% 0.14/0.37 sF0_fnc=response(sF1_fnc,sF6_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.14/0.37 fof(f15,definition,(
% 0.14/0.37 sF12_fnc=response(lark,sF3_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF12_fnc])],[function_definition])).
% 0.14/0.37 fof(f16,definition,(
% 0.14/0.37 sF11_fnc=response(sF3_fnc,sF12_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF11_fnc])],[function_definition])).
% 0.14/0.37 fof(f17,definition,(
% 0.14/0.37 sF13_fnc=response(lark,sF3_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF13_fnc])],[function_definition])).
% 0.14/0.37 fof(f18,definition,(
% 0.14/0.37 sF10_fnc=response(sF11_fnc,sF13_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF10_fnc])],[function_definition])).
% 0.14/0.37 fof(f19,plain,(
% 0.14/0.37 ~sF0_fnc=sF10_fnc),
% 0.14/0.37 inference(definition_folding,[],[f4,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5])).
% 0.14/0.37 fof(f20,plain,(
% 0.14/0.37 sF5_fnc=sF4_fnc),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f6,f8])).
% 0.14/0.37 fof(f21,plain,(
% 0.14/0.37 sF1_fnc=response(sF2_fnc,sF4_fnc)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f20,f9])).
% 0.14/0.37 fof(f22,plain,(
% 0.14/0.37 sF8_fnc=sF4_fnc),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f6,f10])).
% 0.14/0.37 fof(f23,plain,(
% 0.14/0.37 sF7_fnc=response(sF3_fnc,sF4_fnc)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f22,f11])).
% 0.14/0.37 fof(f24,plain,(
% 0.14/0.37 sF7_fnc=sF2_fnc),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f7,f23])).
% 0.14/0.37 fof(f25,plain,(
% 0.14/0.37 sF9_fnc=sF4_fnc),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f6,f12])).
% 0.14/0.37 fof(f26,plain,(
% 0.14/0.37 sF6_fnc=response(sF2_fnc,sF9_fnc)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f24,f13])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 sF6_fnc=response(sF2_fnc,sF4_fnc)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f25,f26])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 sF6_fnc=sF1_fnc),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f21,f27])).
% 0.14/0.38 fof(f29,plain,(
% 0.14/0.38 sF0_fnc=response(sF1_fnc,sF1_fnc)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f28,f14])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 sF12_fnc=sF4_fnc),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f6,f15])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 sF11_fnc=response(sF3_fnc,sF4_fnc)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f30,f16])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 sF11_fnc=sF2_fnc),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f7,f31])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 sF13_fnc=sF4_fnc),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f6,f17])).
% 0.14/0.38 fof(f34,plain,(
% 0.14/0.38 sF10_fnc=response(sF2_fnc,sF13_fnc)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f32,f18])).
% 0.14/0.38 fof(f35,plain,(
% 0.14/0.38 sF10_fnc=response(sF2_fnc,sF4_fnc)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f33,f34])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 sF10_fnc=sF1_fnc),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f21,f35])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 ~sF0_fnc=sF1_fnc),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f36,f19])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 ![X0]: (response(sF4_fnc,X0)=response(sF3_fnc,response(X0,X0)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f6,f3])).
% 0.14/0.38 fof(f40,plain,(
% 0.14/0.38 ![X0]: (response(sF3_fnc,X0)=response(lark,response(X0,X0)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f5,f3])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 ![X0,X1]: (response(response(response(lark,lark),X0),X1)=response(response(X0,X0),response(X1,X1)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.14/0.38 fof(f43,plain,(
% 0.14/0.38 ![X0,X1]: (response(response(lark,X0),response(X1,X1))=response(X0,response(response(lark,response(X1,X1)),X1)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 ![X0,X1]: (response(response(sF3_fnc,X0),X1)=response(response(X0,X0),response(X1,X1)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f5,f41])).
% 0.14/0.38 fof(f45,plain,(
% 0.14/0.38 ![X0,X1]: (response(response(lark,X0),response(X1,X1))=response(X0,response(response(sF3_fnc,X1),X1)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f40,f43])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 ![X0]: (response(sF3_fnc,response(X0,X0))=response(lark,response(response(lark,response(X0,X0)),X0)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f3,f40])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 ![X0]: (response(sF4_fnc,X0)=response(lark,response(response(lark,response(X0,X0)),X0)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f39,f55])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 ![X0]: (response(sF4_fnc,X0)=response(lark,response(response(sF3_fnc,X0),X0)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f40,f59])).
% 0.14/0.38 fof(f85,plain,(
% 0.14/0.38 response(sF4_fnc,sF4_fnc)=response(lark,response(sF2_fnc,sF4_fnc))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f7,f60])).
% 0.14/0.38 fof(f94,plain,(
% 0.14/0.38 response(sF4_fnc,sF4_fnc)=response(lark,sF1_fnc)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f21,f85])).
% 0.14/0.38 fof(f97,plain,(
% 0.14/0.38 ![X0]: (response(response(sF3_fnc,sF4_fnc),X0)=response(response(lark,sF1_fnc),response(X0,X0)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f94,f44])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 ![X0]: (response(sF2_fnc,X0)=response(response(lark,sF1_fnc),response(X0,X0)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f7,f97])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 ![X0]: (response(sF2_fnc,X0)=response(sF1_fnc,response(response(sF3_fnc,X0),X0)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f45,f100])).
% 0.14/0.38 fof(f114,plain,(
% 0.14/0.38 response(sF2_fnc,sF4_fnc)=response(sF1_fnc,response(sF2_fnc,sF4_fnc))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f7,f101])).
% 0.14/0.38 fof(f121,plain,(
% 0.14/0.38 sF1_fnc=response(sF1_fnc,response(sF2_fnc,sF4_fnc))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f21,f114])).
% 0.14/0.38 fof(f122,plain,(
% 0.14/0.38 sF1_fnc=response(sF1_fnc,sF1_fnc)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f21,f121])).
% 0.14/0.38 fof(f123,plain,(
% 0.14/0.38 sF1_fnc=sF0_fnc),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f29,f122])).
% 0.14/0.38 fof(f124,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f123,f37])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.027034 seconds
% 0.14/0.40 % CPU time: 0.048502 seconds
% 0.14/0.40 % Total memory used: 1.772 MB
% 0.14/0.40 % Net memory used: 1.766 MB
%------------------------------------------------------------------------------