%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL042-8 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:08:59 PM UTC 2026
% Result : Unsatisfiable 270.40s 34.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COL042-8 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 14:05:38 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 270.40/34.39 % Refutation found
% 270.40/34.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 270.40/34.39 % SZS output start CNFRefutation for theBenchmark
% 270.40/34.39 fof(f1,axiom,(
% 270.40/34.39 (![X,Y,Z]: (apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ))),
% 270.40/34.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 270.40/34.39 fof(f2,axiom,(
% 270.40/34.39 (![X,Y]: (apply(apply(w1,X),Y) = apply(apply(Y,X),X) ))),
% 270.40/34.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 270.40/34.39 fof(f3,axiom,(
% 270.40/34.39 strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b) ),
% 270.40/34.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 270.40/34.39 fof(f4,negated_conjecture,(
% 270.40/34.39 apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) ),
% 270.40/34.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 270.40/34.39 fof(f5,plain,(
% 270.40/34.39 ![X0,X1,X2]: (apply(apply(apply(b,X0),X1),X2)=apply(X0,apply(X1,X2)))),
% 270.40/34.39 inference(cnf_transformation,[status(thm)],[f1])).
% 270.40/34.39 fof(f6,plain,(
% 270.40/34.39 ![X0,X1]: (apply(apply(w1,X0),X1)=apply(apply(X1,X0),X0))),
% 270.40/34.39 inference(cnf_transformation,[status(thm)],[f2])).
% 270.40/34.39 fof(f7,plain,(
% 270.40/34.39 strong_fixed_point=apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b)),
% 270.40/34.39 inference(cnf_transformation,[status(thm)],[f3])).
% 270.40/34.39 fof(f8,plain,(
% 270.40/34.39 ~apply(strong_fixed_point,fixed_pt)=apply(fixed_pt,apply(strong_fixed_point,fixed_pt))),
% 270.40/34.39 inference(cnf_transformation,[status(thm)],[f4])).
% 270.40/34.39 fof(f13,plain,(
% 270.40/34.39 ![X0]: (apply(apply(w1,X0),w1)=apply(apply(X0,X0),X0))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f6,f6])).
% 270.40/34.39 fof(f17,plain,(
% 270.40/34.39 ![X0,X1]: (apply(apply(w1,X0),apply(X1,X0))=apply(apply(apply(w1,X0),X1),X0))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f6,f6])).
% 270.40/34.39 fof(f27,plain,(
% 270.40/34.39 ![X0,X1]: (apply(apply(w1,X0),apply(b,X1))=apply(X1,apply(X0,X0)))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f6,f5])).
% 270.40/34.39 fof(f32,plain,(
% 270.40/34.39 ![X0,X1,X2]: (apply(apply(w1,X0),apply(apply(b,X1),X2))=apply(apply(X1,apply(X2,X0)),X0))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f5,f6])).
% 270.40/34.39 fof(f46,plain,(
% 270.40/34.39 ![X0,X1,X2]: (apply(apply(apply(w1,X0),apply(b,apply(b,X1))),X2)=apply(X1,apply(apply(X0,X0),X2)))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f27,f5])).
% 270.40/34.39 fof(f52,plain,(
% 270.40/34.39 ![X0]: (apply(strong_fixed_point,X0)=apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b)),apply(b,X0)))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f7,f5])).
% 270.40/34.39 fof(f54,plain,(
% 270.40/34.39 ![X0]: (apply(strong_fixed_point,X0)=apply(apply(w1,w1),apply(apply(apply(b,apply(b,w1)),b),apply(b,X0))))),
% 270.40/34.39 inference(forward_demodulation,[status(thm)],[f5,f52])).
% 270.40/34.39 fof(f55,plain,(
% 270.40/34.39 ![X0]: (apply(strong_fixed_point,X0)=apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,X0)))))),
% 270.40/34.39 inference(forward_demodulation,[status(thm)],[f5,f54])).
% 270.40/34.39 fof(f183,plain,(
% 270.40/34.39 ![X0,X1,X2]: (apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X2))=apply(X1,apply(apply(X2,X0),X0)))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f5,f32])).
% 270.40/34.39 fof(f266,plain,(
% 270.40/34.39 ![X0]: (apply(strong_fixed_point,X0)=apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1))),
% 270.40/34.39 inference(forward_demodulation,[status(thm)],[f32,f55])).
% 270.40/34.39 fof(f8150,plain,(
% 270.40/34.39 ![X0,X1]: (apply(apply(apply(w1,X0),apply(b,apply(b,X1))),X0)=apply(X1,apply(apply(w1,X0),w1)))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f13,f46])).
% 270.40/34.39 fof(f8497,plain,(
% 270.40/34.39 ![X0,X1]: (apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X0))=apply(X1,apply(apply(w1,X0),w1)))),
% 270.40/34.39 inference(forward_demodulation,[status(thm)],[f17,f8150])).
% 270.40/34.39 fof(f8659,plain,(
% 270.40/34.39 ![X0,X1]: (apply(apply(apply(b,X0),apply(X1,X1)),X1)=apply(X0,apply(apply(w1,X1),w1)))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f32,f8497])).
% 270.40/34.39 fof(f8733,plain,(
% 270.40/34.39 ![X0,X1]: (apply(X0,apply(apply(X1,X1),X1))=apply(X0,apply(apply(w1,X1),w1)))),
% 270.40/34.39 inference(forward_demodulation,[status(thm)],[f5,f8659])).
% 270.40/34.39 fof(f8820,plain,(
% 270.40/34.39 ![X0,X1]: (apply(X0,apply(apply(w1,X1),X1))=apply(X0,apply(apply(w1,X1),w1)))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f6,f8733])).
% 270.40/34.39 fof(f96365,plain,(
% 270.40/34.39 ![X0,X1]: (apply(apply(w1,X0),apply(apply(b,apply(b,X1)),w1))=apply(X1,apply(apply(w1,X0),w1)))),
% 270.40/34.39 inference(paramodulation,[status(thm)],[f8820,f183])).
% 270.40/34.39 fof(f99718,plain,(
% 270.40/34.39 ![X0]: (apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1)=apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1)))),
% 271.98/34.53 inference(paramodulation,[status(thm)],[f6,f96365])).
% 271.98/34.53 fof(f99949,plain,(
% 271.98/34.53 ![X0]: (apply(strong_fixed_point,X0)=apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1)))),
% 271.98/34.53 inference(forward_demodulation,[status(thm)],[f266,f99718])).
% 271.98/34.53 fof(f99950,plain,(
% 271.98/34.53 ![X0]: (apply(strong_fixed_point,X0)=apply(X0,apply(strong_fixed_point,X0)))),
% 271.98/34.53 inference(forward_demodulation,[status(thm)],[f266,f99949])).
% 271.98/34.53 fof(f100220,plain,(
% 271.98/34.53 ~apply(strong_fixed_point,fixed_pt)=apply(strong_fixed_point,fixed_pt)),
% 271.98/34.53 inference(backward_demodulation,[status(thm)],[f99950,f8])).
% 271.98/34.53 fof(f100629,plain,(
% 271.98/34.53 $false),
% 271.98/34.53 inference(trivial_equality_resolution,[status(thm)],[f100220])).
% 271.98/34.53 % SZS output end CNFRefutation for theBenchmark.p
% 59.47/34.79 % Elapsed time: 34.472461 seconds
% 59.47/34.79 % CPU time: 273.782687 seconds
% 59.47/34.79 % Total memory used: 1.528 GB
% 59.47/34.79 % Net memory used: 1.488 GB
%------------------------------------------------------------------------------