%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL066-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:09:04 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL066-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n001.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 14:14:31 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36 fof(f2,axiom,(
% 0.11/0.36 (![X,Y,Z]: (apply(apply(apply(q,X),Y),Z) = apply(Y,apply(X,Z)) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f3,axiom,(
% 0.11/0.36 (![X,Y]: (apply(apply(w,X),Y) = apply(apply(X,Y),Y) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f4,negated_conjecture,(
% 0.11/0.36 apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f6,plain,(
% 0.11/0.36 ![X0,X1,X2]: (apply(apply(apply(q,X0),X1),X2)=apply(X1,apply(X0,X2)))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.36 fof(f7,plain,(
% 0.11/0.36 ![X0,X1]: (apply(apply(w,X0),X1)=apply(apply(X0,X1),X1))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.36 fof(f8,plain,(
% 0.11/0.36 ~apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z)=apply(apply(x,y),apply(apply(x,y),z))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.36 fof(f21,plain,(
% 0.11/0.36 ~apply(apply(apply(apply(apply(w,apply(q,apply(q,q))),apply(q,x)),y),y),z)=apply(apply(x,y),apply(apply(x,y),z))),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f6,f8])).
% 0.11/0.36 fof(f25,plain,(
% 0.11/0.36 ![X0,X1]: (apply(apply(w,apply(q,X0)),X1)=apply(X1,apply(X0,X1)))),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.11/0.36 fof(f58,plain,(
% 0.11/0.36 ~apply(apply(apply(apply(apply(q,x),apply(apply(q,q),apply(q,x))),y),y),z)=apply(apply(x,y),apply(apply(x,y),z))),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f25,f21])).
% 0.11/0.36 fof(f65,plain,(
% 0.11/0.36 ~apply(apply(apply(apply(apply(q,q),apply(q,x)),apply(x,y)),y),z)=apply(apply(x,y),apply(apply(x,y),z))),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f6,f58])).
% 0.11/0.36 fof(f66,plain,(
% 0.11/0.36 ~apply(apply(apply(apply(q,x),apply(q,apply(x,y))),y),z)=apply(apply(x,y),apply(apply(x,y),z))),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f6,f65])).
% 0.11/0.36 fof(f67,plain,(
% 0.11/0.36 ~apply(apply(apply(q,apply(x,y)),apply(x,y)),z)=apply(apply(x,y),apply(apply(x,y),z))),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f6,f66])).
% 0.11/0.36 fof(f68,plain,(
% 0.11/0.36 ~apply(apply(x,y),apply(apply(x,y),z))=apply(apply(x,y),apply(apply(x,y),z))),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f6,f67])).
% 0.11/0.36 fof(f69,plain,(
% 0.11/0.36 $false),
% 0.11/0.36 inference(trivial_equality_resolution,[status(thm)],[f68])).
% 0.11/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.37 % Elapsed time: 0.024613 seconds
% 0.11/0.37 % CPU time: 0.044453 seconds
% 0.11/0.37 % Total memory used: 1.740 MB
% 0.11/0.37 % Net memory used: 1.731 MB
%------------------------------------------------------------------------------