%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL079-2 : 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 : 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 12:09:05 PM UTC 2026
% Result : Unsatisfiable 8.06s 6.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL079-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n016.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 14:13:59 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 8.06/6.47 % Refutation found
% 8.06/6.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.06/6.47 % SZS output start CNFRefutation for theBenchmark
% 8.06/6.47 fof(f1,axiom,(
% 8.06/6.47 (![X,Y]: (apply(k(X),Y) = X ))),
% 8.06/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.06/6.47 fof(f2,axiom,(
% 8.06/6.47 (![X,Y,Z]: (apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,k(Z)),apply(Y,Z)) ))),
% 8.06/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.06/6.47 fof(f3,axiom,(
% 8.06/6.47 (![X,Y]: (( X = Y| apply(X,n(X,Y)) != apply(Y,n(X,Y)) ) ))),
% 8.06/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.06/6.47 fof(f4,negated_conjecture,(
% 8.06/6.47 apply(abstraction,apply(abstraction,apply(abstraction,b))) != apply(abstraction,b) ),
% 8.06/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.06/6.47 fof(f5,plain,(
% 8.06/6.47 ![X0,X1]: (apply(k(X0),X1)=X0)),
% 8.06/6.47 inference(cnf_transformation,[status(thm)],[f1])).
% 8.06/6.47 fof(f6,plain,(
% 8.06/6.47 ![X0,X1,X2]: (apply(apply(apply(abstraction,X0),X1),X2)=apply(apply(X0,k(X2)),apply(X1,X2)))),
% 8.06/6.47 inference(cnf_transformation,[status(thm)],[f2])).
% 8.06/6.47 fof(f7,plain,(
% 8.06/6.47 ![X0,X1]: (X0=X1|~apply(X0,n(X0,X1))=apply(X1,n(X0,X1)))),
% 8.06/6.47 inference(cnf_transformation,[status(thm)],[f3])).
% 8.06/6.47 fof(f8,plain,(
% 8.06/6.47 ~apply(abstraction,apply(abstraction,apply(abstraction,b)))=apply(abstraction,b)),
% 8.06/6.47 inference(cnf_transformation,[status(thm)],[f4])).
% 8.06/6.47 fof(f18,plain,(
% 8.06/6.47 ![X0,X1,X2]: (apply(apply(apply(abstraction,X0),k(X1)),X2)=apply(apply(X0,k(X2)),X1))),
% 8.06/6.47 inference(paramodulation,[status(thm)],[f5,f6])).
% 8.06/6.47 fof(f58,plain,(
% 8.06/6.47 ![X0,X1,X2]: (apply(apply(apply(abstraction,apply(abstraction,X0)),X1),X2)=apply(apply(X0,k(apply(X1,X2))),X2))),
% 8.06/6.47 inference(paramodulation,[status(thm)],[f6,f18])).
% 8.06/6.47 fof(f672,plain,(
% 8.06/6.47 ![X0,X1,X2]: (apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,X0))),X1),X2)=apply(apply(X0,k(X2)),apply(X1,X2)))),
% 8.06/6.47 inference(paramodulation,[status(thm)],[f18,f58])).
% 8.06/6.47 fof(f751,plain,(
% 8.06/6.47 ![X0,X1,X2]: (apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,X0))),X1),X2)=apply(apply(apply(abstraction,X0),X1),X2))),
% 8.06/6.47 inference(forward_demodulation,[status(thm)],[f6,f672])).
% 8.06/6.47 fof(f7516,plain,(
% 8.06/6.47 ![X0,X1]: (apply(apply(abstraction,apply(abstraction,apply(abstraction,X0))),X1)=apply(apply(abstraction,X0),X1))),
% 8.06/6.47 inference(resolution,[status(thm)],[f751,f7])).
% 8.06/6.47 fof(f9561,plain,(
% 8.06/6.47 ![X0]: (apply(abstraction,apply(abstraction,apply(abstraction,X0)))=apply(abstraction,X0))),
% 8.06/6.47 inference(resolution,[status(thm)],[f7516,f7])).
% 8.06/6.47 fof(f9801,plain,(
% 8.06/6.47 ~apply(abstraction,b)=apply(abstraction,b)),
% 8.06/6.47 inference(backward_demodulation,[status(thm)],[f9561,f8])).
% 8.06/6.47 fof(f9855,plain,(
% 8.06/6.47 $false),
% 8.06/6.47 inference(trivial_equality_resolution,[status(thm)],[f9801])).
% 8.06/6.47 % SZS output end CNFRefutation for theBenchmark.p
% 8.06/6.49 % Elapsed time: 1.113660 seconds
% 8.06/6.49 % CPU time: 8.563899 seconds
% 8.06/6.49 % Total memory used: 459.380 MB
% 8.06/6.49 % Net memory used: 450.368 MB
%------------------------------------------------------------------------------