%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL062-3 : 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 : n026.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 12:09:02 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL062-3 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.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 14:10:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,axiom,(
% 0.10/0.38 (![X,Y,Z]: (apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,axiom,(
% 0.10/0.38 (![X,Y]: (apply(apply(t,X),Y) = apply(Y,X) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f3,negated_conjecture,(
% 0.10/0.38 apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t),x),y),z) != apply(apply(x,z),y) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f4,plain,(
% 0.10/0.38 ![X0,X1,X2]: (apply(apply(apply(b,X0),X1),X2)=apply(X0,apply(X1,X2)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.38 fof(f5,plain,(
% 0.10/0.38 ![X0,X1]: (apply(apply(t,X0),X1)=apply(X1,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f6,plain,(
% 0.10/0.38 ~apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t),x),y),z)=apply(apply(x,z),y)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.38 fof(f20,plain,(
% 0.10/0.38 ~apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),b),apply(t,x)),y),z)=apply(apply(x,z),y)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f4,f6])).
% 0.10/0.38 fof(f21,plain,(
% 0.10/0.38 ~apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(t,x))),y),z)=apply(apply(x,z),y)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f4,f20])).
% 0.10/0.38 fof(f22,plain,(
% 0.10/0.38 ~apply(apply(apply(apply(b,apply(t,x)),apply(apply(b,b),t)),y),z)=apply(apply(x,z),y)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f5,f21])).
% 0.10/0.38 fof(f23,plain,(
% 0.10/0.38 ~apply(apply(apply(t,x),apply(apply(apply(b,b),t),y)),z)=apply(apply(x,z),y)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f4,f22])).
% 0.10/0.38 fof(f24,plain,(
% 0.10/0.38 ~apply(apply(apply(apply(apply(b,b),t),y),x),z)=apply(apply(x,z),y)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f5,f23])).
% 0.10/0.38 fof(f25,plain,(
% 0.10/0.38 ~apply(apply(apply(b,apply(t,y)),x),z)=apply(apply(x,z),y)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f4,f24])).
% 0.10/0.38 fof(f26,plain,(
% 0.10/0.38 ~apply(apply(t,y),apply(x,z))=apply(apply(x,z),y)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f4,f25])).
% 0.10/0.38 fof(f27,plain,(
% 0.10/0.38 ~apply(apply(x,z),y)=apply(apply(x,z),y)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f5,f26])).
% 0.10/0.38 fof(f28,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(trivial_equality_resolution,[status(thm)],[f27])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 1.38/1.62 % Elapsed time: 1.035681 seconds
% 1.38/1.62 % CPU time: 0.023851 seconds
% 1.38/1.62 % Total memory used: 409.088 KB
% 1.38/1.62 % Net memory used: 368.528 KB
%------------------------------------------------------------------------------