%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL059-1 : 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 : n013.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 0.08s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 14:06:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.36 fof(f1,axiom,(
% 0.08/0.36 (![X1,X2]: (response(response(kestrel,X1),X2) = X1 ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f2,axiom,(
% 0.08/0.36 (![X1,X2]: (response(response(lark,X1),X2) = response(X1,response(X2,X2)) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f3,axiom,(
% 0.08/0.36 (![X1,X2]: (response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f4,axiom,(
% 0.08/0.36 (![X1,X2]: (response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f5,axiom,(
% 0.08/0.36 response(l2,l2) != l2 ),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f6,axiom,(
% 0.08/0.36 response(lark,lark) = l2 ),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f7,axiom,(
% 0.08/0.36 response(l2,lark) = l3 ),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f8,negated_conjecture,(
% 0.08/0.36 response(l3,l3) = l3 ),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f9,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(kestrel,X0),X1)=X0)),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.36 fof(f10,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(lark,X0),X1)=response(X0,response(X1,X1)))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.36 fof(f11,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(response(lark,lark),X0),X1)=response(response(X0,X0),response(X1,X1)))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.36 fof(f12,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(response(response(lark,lark),lark),X0),X1)=response(response(response(X0,X0),response(X0,X0)),response(x2,x2)))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.36 fof(f13,plain,(
% 0.08/0.36 ~response(l2,l2)=l2),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.36 fof(f14,plain,(
% 0.08/0.36 response(lark,lark)=l2),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.36 fof(f15,plain,(
% 0.08/0.36 response(l2,lark)=l3),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.36 fof(f16,plain,(
% 0.08/0.36 response(l3,l3)=l3),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.36 fof(f17,definition,(
% 0.08/0.36 sF0_fnc=response(l2,l2)),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.08/0.36 fof(f18,plain,(
% 0.08/0.36 ~sF0_fnc=l2),
% 0.08/0.36 inference(definition_folding,[],[f13,f17])).
% 0.08/0.36 fof(f19,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(response(l2,lark),X0),X1)=response(response(response(X0,X0),response(X0,X0)),response(x2,x2)))),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f14,f12])).
% 0.08/0.36 fof(f20,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(l2,X0),X1)=response(response(X0,X0),response(X1,X1)))),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f14,f11])).
% 0.08/0.36 fof(f21,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(l3,X0),X1)=response(response(response(X0,X0),response(X0,X0)),response(x2,x2)))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f15,f19])).
% 0.08/0.36 fof(f22,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(l3,X0),X1)=response(response(l2,response(X0,X0)),x2))),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f20,f21])).
% 0.08/0.36 fof(f24,plain,(
% 0.08/0.36 ![X0]: (response(l3,X0)=response(response(l2,response(l3,l3)),x2))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f16,f22])).
% 0.08/0.36 fof(f28,plain,(
% 0.08/0.36 ![X0]: (response(l3,X0)=response(response(l2,l3),x2))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f16,f24])).
% 0.08/0.36 fof(f30,plain,(
% 0.08/0.36 ![X0,X1]: (response(l3,X0)=response(l3,X1))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f28,f28])).
% 0.08/0.36 fof(f35,plain,(
% 0.08/0.36 ![X0]: (l3=response(l3,X0))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f16,f30])).
% 0.08/0.36 fof(f88,plain,(
% 0.08/0.36 ![X0]: (response(l2,X0)=response(lark,response(X0,X0)))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f14,f10])).
% 0.08/0.36 fof(f92,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(lark,X0),response(kestrel,X1))=response(X0,X1))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f9,f10])).
% 0.08/0.36 fof(f93,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(lark,X0),response(X1,X1))=response(X0,response(response(lark,response(X1,X1)),X1)))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.08/0.36 fof(f97,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(lark,X0),response(X1,X1))=response(X0,response(response(l2,X1),X1)))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f88,f93])).
% 0.08/0.36 fof(f98,plain,(
% 0.08/0.36 ![X0]: (response(response(l2,kestrel),X0)=kestrel)),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f9,f20])).
% 0.08/0.36 fof(f100,plain,(
% 0.08/0.36 ![X0]: (response(response(l2,lark),X0)=response(l2,response(X0,X0)))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f14,f20])).
% 0.08/0.36 fof(f101,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(l2,response(kestrel,X0)),X1)=response(X0,response(X1,X1)))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f9,f20])).
% 0.08/0.36 fof(f113,plain,(
% 0.08/0.36 ![X0]: (response(l3,X0)=response(l2,response(X0,X0)))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f15,f100])).
% 0.08/0.36 fof(f114,plain,(
% 0.08/0.36 ![X0]: (l3=response(l2,response(X0,X0)))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f35,f113])).
% 0.08/0.36 fof(f125,plain,(
% 0.08/0.36 ![X0]: (l3=response(response(lark,l3),X0))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f10,f35])).
% 0.08/0.36 fof(f132,plain,(
% 0.08/0.36 l3=response(l2,l2)),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f14,f114])).
% 0.08/0.36 fof(f133,plain,(
% 0.08/0.36 ![X0]: (l3=response(l2,X0))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f9,f114])).
% 0.08/0.36 fof(f141,plain,(
% 0.08/0.36 sF0_fnc=l3),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f132,f17])).
% 0.08/0.36 fof(f148,plain,(
% 0.08/0.36 ![X0,X1]: (response(l3,X0)=response(X1,response(X0,X0)))),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f133,f101])).
% 0.08/0.36 fof(f149,plain,(
% 0.08/0.36 ![X0]: (response(l3,X0)=kestrel)),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f133,f98])).
% 0.08/0.36 fof(f156,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(lark,X0),response(X1,X1))=response(X0,response(l3,X1)))),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f133,f97])).
% 0.08/0.36 fof(f159,plain,(
% 0.08/0.36 ~l3=l2),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f141,f18])).
% 0.08/0.36 fof(f162,plain,(
% 0.08/0.36 ![X0,X1]: (response(response(lark,X0),X1)=l3)),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f164,f10])).
% 0.08/0.36 fof(f164,plain,(
% 0.08/0.36 ![X0,X1]: (l3=response(X0,response(X1,X1)))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f35,f148])).
% 0.08/0.36 fof(f165,plain,(
% 0.08/0.36 l3=kestrel),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f149,f35])).
% 0.08/0.36 fof(f174,plain,(
% 0.08/0.36 ![X0,X1]: (l3=response(X0,response(l3,X1)))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f164,f156])).
% 0.08/0.36 fof(f175,plain,(
% 0.08/0.36 ![X0]: (l3=response(l3,X0))),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f176,f125])).
% 0.08/0.36 fof(f176,plain,(
% 0.08/0.36 ![X0]: (l3=response(X0,l3))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f35,f174])).
% 0.08/0.36 fof(f182,plain,(
% 0.08/0.36 ![X0,X1]: (l3=response(X0,X1))),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f162,f92])).
% 0.08/0.36 fof(f184,plain,(
% 0.08/0.36 ~kestrel=l2),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f165,f159])).
% 0.08/0.36 fof(f191,plain,(
% 0.08/0.36 ![X0]: (kestrel=response(l3,X0))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f165,f175])).
% 0.08/0.36 fof(f192,plain,(
% 0.08/0.36 ![X0,X1]: (response(kestrel,X0)=X1)),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f193,f9])).
% 0.08/0.36 fof(f193,plain,(
% 0.08/0.36 ![X0]: (kestrel=response(kestrel,X0))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f165,f191])).
% 0.08/0.36 fof(f199,plain,(
% 0.08/0.36 ![X0,X1]: (kestrel=response(X0,X1))),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f165,f182])).
% 0.08/0.36 fof(f202,plain,(
% 0.08/0.36 ![X0]: (kestrel=X0)),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f199,f192])).
% 0.08/0.36 fof(f203,plain,(
% 0.08/0.36 $false),
% 0.08/0.36 inference(backward_subsumption_resolution,[status(thm)],[f184,f202])).
% 0.08/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.031264 seconds
% 0.12/0.39 % CPU time: 0.047938 seconds
% 0.12/0.39 % Total memory used: 1.716 MB
% 0.12/0.39 % Net memory used: 1.709 MB
%------------------------------------------------------------------------------