%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL044-7 : 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 : n017.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 12:09:00 PM UTC 2026
% Result : Unsatisfiable 92.84s 12.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL044-7 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 14:02:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 92.84/12.30 % Refutation found
% 92.84/12.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 92.84/12.30 % SZS output start CNFRefutation for theBenchmark
% 92.84/12.30 fof(f1,axiom,(
% 92.84/12.30 (![X,Y,Z]: (apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ))),
% 92.84/12.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.84/12.30 fof(f2,axiom,(
% 92.84/12.30 (![X,Y,Z]: (apply(apply(apply(n,X),Y),Z) = apply(apply(apply(X,Z),Y),Z) ))),
% 92.84/12.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.84/12.30 fof(f3,axiom,(
% 92.84/12.30 strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b)),b) ),
% 92.84/12.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.84/12.30 fof(f4,negated_conjecture,(
% 92.84/12.30 apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) ),
% 92.84/12.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.84/12.30 fof(f5,plain,(
% 92.84/12.30 ![X0,X1,X2]: (apply(apply(apply(b,X0),X1),X2)=apply(X0,apply(X1,X2)))),
% 92.84/12.30 inference(cnf_transformation,[status(thm)],[f1])).
% 92.84/12.30 fof(f6,plain,(
% 92.84/12.30 ![X0,X1,X2]: (apply(apply(apply(n,X0),X1),X2)=apply(apply(apply(X0,X2),X1),X2))),
% 92.84/12.30 inference(cnf_transformation,[status(thm)],[f2])).
% 92.84/12.30 fof(f7,plain,(
% 92.84/12.30 strong_fixed_point=apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b)),b)),
% 92.84/12.30 inference(cnf_transformation,[status(thm)],[f3])).
% 92.84/12.30 fof(f8,plain,(
% 92.84/12.30 ~apply(strong_fixed_point,fixed_pt)=apply(fixed_pt,apply(strong_fixed_point,fixed_pt))),
% 92.84/12.30 inference(cnf_transformation,[status(thm)],[f4])).
% 92.84/12.30 fof(f12,plain,(
% 92.84/12.30 ![X0]: (apply(strong_fixed_point,X0)=apply(apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b),apply(b,X0)))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f7,f5])).
% 92.84/12.30 fof(f13,plain,(
% 92.84/12.30 ![X0]: (apply(strong_fixed_point,X0)=apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n),apply(b,apply(b,X0))))),
% 92.84/12.30 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 92.84/12.30 fof(f21,plain,(
% 92.84/12.30 ![X0,X1,X2]: (apply(apply(apply(n,apply(b,X0)),X1),X2)=apply(apply(X0,apply(X2,X1)),X2))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f5,f6])).
% 92.84/12.30 fof(f26,plain,(
% 92.84/12.30 ![X0,X1,X2,X3]: (apply(apply(apply(n,apply(apply(b,X0),X1)),X2),X3)=apply(apply(apply(X0,apply(X1,X3)),X2),X3))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f5,f6])).
% 92.84/12.30 fof(f191,plain,(
% 92.84/12.30 ![X0,X1,X2]: (apply(apply(apply(n,apply(b,apply(b,X0))),X1),X2)=apply(X0,apply(apply(X2,X1),X2)))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f5,f21])).
% 92.84/12.30 fof(f254,plain,(
% 92.84/12.30 ![X0,X1,X2]: (apply(apply(apply(apply(n,apply(b,b)),X0),X1),X2)=apply(apply(X1,X0),apply(X1,X2)))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f21,f5])).
% 92.84/12.30 fof(f1787,plain,(
% 92.84/12.30 ![X0,X1,X2]: (apply(apply(apply(n,apply(apply(b,b),X0)),X1),X2)=apply(apply(X0,X2),apply(X1,X2)))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f5,f26])).
% 92.84/12.30 fof(f4814,plain,(
% 92.84/12.30 ![X0,X1]: (apply(apply(apply(n,apply(n,apply(b,b))),X0),X1)=apply(apply(X0,X1),apply(X0,X1)))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f6,f254])).
% 92.84/12.30 fof(f5676,plain,(
% 92.84/12.30 ![X0]: (apply(strong_fixed_point,X0)=apply(apply(apply(apply(n,apply(n,apply(b,b))),n),apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f13,f1787])).
% 92.84/12.30 fof(f9085,plain,(
% 92.84/12.30 ![X0]: (apply(strong_fixed_point,X0)=apply(apply(apply(n,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X0)))),apply(n,apply(b,apply(b,X0)))))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f4814,f5676])).
% 92.84/12.30 fof(f9203,plain,(
% 92.84/12.30 ![X0,X1]: (apply(apply(apply(n,apply(b,apply(b,X0))),apply(n,apply(b,apply(b,X1)))),apply(n,apply(b,apply(b,X1))))=apply(X0,apply(strong_fixed_point,X1)))),
% 92.84/12.30 inference(paramodulation,[status(thm)],[f9085,f191])).
% 92.84/12.30 fof(f9267,plain,(
% 92.84/12.30 ![X0]: (apply(strong_fixed_point,X0)=apply(X0,apply(strong_fixed_point,X0)))),
% 92.84/12.30 inference(backward_demodulation,[status(thm)],[f9203,f9085])).
% 92.84/12.30 fof(f9287,plain,(
% 92.84/12.30 ~apply(strong_fixed_point,fixed_pt)=apply(strong_fixed_point,fixed_pt)),
% 92.84/12.30 inference(backward_demodulation,[status(thm)],[f9267,f8])).
% 92.84/12.30 fof(f9295,plain,(
% 92.84/12.30 $false),
% 92.84/12.30 inference(trivial_equality_resolution,[status(thm)],[f9287])).
% 92.84/12.30 % SZS output end CNFRefutation for theBenchmark.p
% 90.51/23.28 % Elapsed time: 22.863262 seconds
% 90.51/23.28 % CPU time: 170.232156 seconds
% 90.51/23.28 % Total memory used: 62.714 GB
% 90.51/23.28 % Net memory used: 62.711 GB
%------------------------------------------------------------------------------