%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL002-2 : 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 12:08:53 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n013.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 14:02:35 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.51 % Refutation found
% 0.17/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.51 fof(f1,axiom,(
% 0.17/0.51 (![X,Y,Z]: (apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)) ))),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f2,axiom,(
% 0.17/0.51 (![X,Y,Z]: (apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ))),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f4,axiom,(
% 0.17/0.51 (![X]: (apply(i,X) = X ))),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f5,axiom,(
% 0.17/0.51 (![Weak_sage]: (( Weak_sage != apply(fixed_pt,Weak_sage)| fixed_point(Weak_sage) ) ))),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f6,negated_conjecture,(
% 0.17/0.51 (![X]: (~ fixed_point(apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i))) ))),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f7,plain,(
% 0.17/0.51 ![X0,X1,X2]: (apply(apply(apply(s,X0),X1),X2)=apply(apply(X0,X2),apply(X1,X2)))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.51 fof(f8,plain,(
% 0.17/0.51 ![X0,X1,X2]: (apply(apply(apply(b,X0),X1),X2)=apply(X0,apply(X1,X2)))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.51 fof(f10,plain,(
% 0.17/0.51 ![X0]: (apply(i,X0)=X0)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.51 fof(f11,plain,(
% 0.17/0.51 ![X0]: (~X0=apply(fixed_pt,X0)|fixed_point(X0))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.51 fof(f12,plain,(
% 0.17/0.51 ![X0]: (~fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.51 fof(f24,plain,(
% 0.17/0.51 ![X0,X1]: (apply(apply(apply(s,X0),i),X1)=apply(apply(X0,X1),X1))),
% 0.17/0.51 inference(paramodulation,[status(thm)],[f10,f7])).
% 0.17/0.51 fof(f30,plain,(
% 0.17/0.51 ![X0,X1]: (apply(apply(apply(s,apply(b,X0)),i),X1)=apply(X0,apply(X1,X1)))),
% 0.17/0.51 inference(paramodulation,[status(thm)],[f8,f24])).
% 0.17/0.51 fof(f121,plain,(
% 0.17/0.51 fixed_point(apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i)))),
% 0.17/0.51 inference(resolution,[status(thm)],[f30,f11])).
% 0.17/0.51 fof(f173,plain,(
% 0.17/0.51 $false),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f121,f12])).
% 0.17/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.54 % Elapsed time: 0.095937 seconds
% 0.25/0.54 % CPU time: 0.428223 seconds
% 0.25/0.54 % Total memory used: 71.227 MB
% 0.25/0.54 % Net memory used: 70.875 MB
%------------------------------------------------------------------------------