%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL075-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 4.74s 1.11s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL075-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 14:08:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 4.74/1.11 % Refutation found
% 4.74/1.11 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.74/1.11 % SZS output start CNFRefutation for theBenchmark
% 4.74/1.11 fof(f1,axiom,(
% 4.74/1.11 (![X,Y]: (apply(apply(k,X),Y) = X ))),
% 4.74/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.74/1.11 fof(f6,axiom,(
% 4.74/1.11 (![X,Y,Z]: (apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,apply(k,Z)),apply(Y,Z)) ))),
% 4.74/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.74/1.11 fof(f11,negated_conjecture,(
% 4.74/1.11 (![Y]: (apply(apply(Y,b(Y)),c(Y)) != apply(b(Y),b(Y)) ))),
% 4.74/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.74/1.11 fof(f12,plain,(
% 4.74/1.11 ![X0,X1]: (apply(apply(k,X0),X1)=X0)),
% 4.74/1.11 inference(cnf_transformation,[status(thm)],[f1])).
% 4.74/1.11 fof(f17,plain,(
% 4.74/1.11 ![X0,X1,X2]: (apply(apply(apply(abstraction,X0),X1),X2)=apply(apply(X0,apply(k,X2)),apply(X1,X2)))),
% 4.74/1.11 inference(cnf_transformation,[status(thm)],[f6])).
% 4.74/1.11 fof(f22,plain,(
% 4.74/1.11 ![X0]: (~apply(apply(X0,b(X0)),c(X0))=apply(b(X0),b(X0)))),
% 4.74/1.11 inference(cnf_transformation,[status(thm)],[f11])).
% 4.74/1.11 fof(f39,plain,(
% 4.74/1.11 ![X0,X1,X2]: (apply(apply(apply(abstraction,X0),apply(k,X1)),X2)=apply(apply(X0,apply(k,X2)),X1))),
% 4.74/1.11 inference(paramodulation,[status(thm)],[f12,f17])).
% 4.74/1.11 fof(f1756,plain,(
% 4.74/1.11 ![X0,X1]: (apply(apply(apply(apply(abstraction,abstraction),k),X0),X1)=apply(apply(apply(k,X0),apply(k,X1)),X0))),
% 4.74/1.11 inference(paramodulation,[status(thm)],[f17,f39])).
% 4.74/1.11 fof(f1798,plain,(
% 4.74/1.11 ![X0,X1]: (apply(apply(apply(apply(abstraction,abstraction),k),X0),X1)=apply(X0,X0))),
% 4.74/1.11 inference(forward_demodulation,[status(thm)],[f12,f1756])).
% 4.74/1.11 fof(f2309,plain,(
% 4.74/1.11 $false),
% 4.74/1.11 inference(resolution,[status(thm)],[f1798,f22])).
% 4.74/1.11 % SZS output end CNFRefutation for theBenchmark.p
% 4.74/1.12 % Elapsed time: 0.747061 seconds
% 4.74/1.12 % CPU time: 5.608599 seconds
% 4.74/1.12 % Total memory used: 238.206 MB
% 4.74/1.12 % Net memory used: 233.400 MB
%------------------------------------------------------------------------------