%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL081-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:09:06 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL081-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.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 14:09:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.46 % Refutation found
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.46 fof(f1,axiom,(
% 0.10/0.46 (![X,Y]: (apply(k(X),Y) = X ))),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f6,axiom,(
% 0.10/0.46 (![X,Y,Z]: (apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,k(Z)),apply(Y,Z)) ))),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f9,axiom,(
% 0.10/0.46 (![X,Y]: (( X = Y| apply(X,n(X,Y)) != apply(Y,n(X,Y)) ) ))),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f12,negated_conjecture,(
% 0.10/0.46 k(k(b)) != apply(abstraction,k(k(b))) ),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f13,plain,(
% 0.10/0.46 ![X0,X1]: (apply(k(X0),X1)=X0)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.46 fof(f18,plain,(
% 0.10/0.46 ![X0,X1,X2]: (apply(apply(apply(abstraction,X0),X1),X2)=apply(apply(X0,k(X2)),apply(X1,X2)))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.46 fof(f21,plain,(
% 0.10/0.46 ![X0,X1]: (X0=X1|~apply(X0,n(X0,X1))=apply(X1,n(X0,X1)))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.46 fof(f24,plain,(
% 0.10/0.46 ~k(k(b))=apply(abstraction,k(k(b)))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.46 fof(f25,plain,(
% 0.10/0.46 ![X0,X1,X2]: (apply(apply(apply(abstraction,k(X0)),X1),X2)=apply(X0,apply(X1,X2)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f13,f18])).
% 0.10/0.46 fof(f27,plain,(
% 0.10/0.46 ![X0,X1,X2]: (apply(apply(apply(abstraction,X0),k(X1)),X2)=apply(apply(X0,k(X2)),X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f13,f18])).
% 0.10/0.46 fof(f29,plain,(
% 0.10/0.46 ![X0,X1,X2]: (apply(apply(apply(apply(abstraction,abstraction),X0),X1),X2)=apply(X1,apply(apply(X0,X1),X2)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f18,f25])).
% 0.10/0.46 fof(f109,plain,(
% 0.10/0.46 ![X0,X1,X2]: (apply(apply(apply(apply(abstraction,abstraction),X0),k(X1)),X2)=X1)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f13,f29])).
% 0.10/0.46 fof(f508,plain,(
% 0.10/0.46 ![X0,X1]: (k(X0)=X1|~X0=apply(X1,n(k(X0),X1)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f13,f21])).
% 0.10/0.46 fof(f519,plain,(
% 0.10/0.46 ![X0,X1]: (k(X0)=apply(apply(apply(abstraction,abstraction),X1),k(X0)))),
% 0.10/0.46 inference(resolution,[status(thm)],[f508,f109])).
% 0.10/0.46 fof(f934,plain,(
% 0.10/0.46 ![X0,X1]: (k(X0)=apply(apply(abstraction,k(k(X0))),X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f27,f519])).
% 0.10/0.46 fof(f970,plain,(
% 0.10/0.46 ![X0]: (k(k(X0))=apply(abstraction,k(k(X0))))),
% 0.10/0.46 inference(resolution,[status(thm)],[f934,f508])).
% 0.10/0.46 fof(f1041,plain,(
% 0.10/0.46 ~k(k(b))=k(k(b))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f970,f24])).
% 0.10/0.46 fof(f1063,plain,(
% 0.10/0.46 $false),
% 0.10/0.46 inference(trivial_equality_resolution,[status(thm)],[f1041])).
% 0.10/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.48 % Elapsed time: 0.095904 seconds
% 0.10/0.48 % CPU time: 0.447062 seconds
% 0.10/0.48 % Total memory used: 113.066 MB
% 0.10/0.48 % Net memory used: 112.443 MB
%------------------------------------------------------------------------------