%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO691-1.002 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:44:47 PM UTC 2026
% Result : Unsatisfiable 255.05s 32.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO691-1.002 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n019.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 12:09:34 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 255.05/32.76 % Refutation found
% 255.05/32.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 255.05/32.76 % SZS output start CNFRefutation for theBenchmark
% 255.05/32.76 fof(f1,axiom,(
% 255.05/32.76 (![Z,Y,X]: (top(f(f(f(f(Z,a),a),Y),f(X,a)),f(f(X,f(f(f(Y,a),a),a)),Z)) ))),
% 255.05/32.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 255.05/32.76 fof(f2,negated_conjecture,(
% 255.05/32.76 (![X]: (~ seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),X,X) ))),
% 255.05/32.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 255.05/32.76 fof(f3,axiom,(
% 255.05/32.76 (![X,Y]: (( ~ top(X,Y)| step(X,Y) ) ))),
% 255.05/32.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 255.05/32.76 fof(f4,axiom,(
% 255.05/32.76 (![X,Y,Z]: (( ~ step(X,Y)| step(f(X,Z),f(Y,Z)) ) ))),
% 255.05/32.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 255.05/32.76 fof(f5,axiom,(
% 255.05/32.76 (![Y,Z,X]: (( ~ step(Y,Z)| step(f(X,Y),f(X,Z)) ) ))),
% 255.05/32.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 255.05/32.76 fof(f6,axiom,(
% 255.05/32.76 (![X]: (seq(zero,X,X) ))),
% 255.05/32.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 255.05/32.76 fof(f7,axiom,(
% 255.05/32.76 (![N,X,Y,Z]: (( ~ seq(N,X,Y)| ~ step(Y,Z)| seq(succ(N),X,Z) ) ))),
% 255.05/32.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 255.05/32.76 fof(f8,plain,(
% 255.05/32.76 ![X0,X1,X2]: (top(f(f(f(f(X0,a),a),X1),f(X2,a)),f(f(X2,f(f(f(X1,a),a),a)),X0)))),
% 255.05/32.76 inference(cnf_transformation,[status(thm)],[f1])).
% 255.05/32.76 fof(f9,plain,(
% 255.05/32.76 ![X0]: (~seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),X0,X0))),
% 255.05/32.76 inference(cnf_transformation,[status(thm)],[f2])).
% 255.05/32.76 fof(f10,plain,(
% 255.05/32.76 ![X0,X1]: (~top(X0,X1)|step(X0,X1))),
% 255.05/32.76 inference(cnf_transformation,[status(thm)],[f3])).
% 255.05/32.76 fof(f11,plain,(
% 255.05/32.76 ![X,Y]: (~step(X,Y)|(![Z]: step(f(X,Z),f(Y,Z))))),
% 255.05/32.76 inference(miniscoping,[status(thm)],[f4])).
% 255.05/32.76 fof(f12,plain,(
% 255.05/32.76 ![X0,X1,X2]: (~step(X0,X1)|step(f(X0,X2),f(X1,X2)))),
% 255.05/32.76 inference(cnf_transformation,[status(thm)],[f11])).
% 255.05/32.76 fof(f13,plain,(
% 255.05/32.76 ![Y,Z]: (~step(Y,Z)|(![X]: step(f(X,Y),f(X,Z))))),
% 255.05/32.76 inference(miniscoping,[status(thm)],[f5])).
% 255.05/32.76 fof(f14,plain,(
% 255.05/32.76 ![X0,X1,X2]: (~step(X0,X1)|step(f(X2,X0),f(X2,X1)))),
% 255.05/32.76 inference(cnf_transformation,[status(thm)],[f13])).
% 255.05/32.76 fof(f15,plain,(
% 255.05/32.76 ![X0]: (seq(zero,X0,X0))),
% 255.05/32.76 inference(cnf_transformation,[status(thm)],[f6])).
% 255.05/32.76 fof(f16,plain,(
% 255.05/32.76 ![N,X,Z]: ((![Y]: (~seq(N,X,Y)|~step(Y,Z)))|seq(succ(N),X,Z))),
% 255.05/32.76 inference(miniscoping,[status(thm)],[f7])).
% 255.05/32.76 fof(f17,plain,(
% 255.05/32.76 ![X0,X1,X2,X3]: (~seq(X0,X1,X2)|~step(X2,X3)|seq(succ(X0),X1,X3))),
% 255.05/32.76 inference(cnf_transformation,[status(thm)],[f16])).
% 255.05/32.76 fof(f18,plain,(
% 255.05/32.76 ![X0,X1,X2]: (step(f(f(f(f(X0,a),a),X1),f(X2,a)),f(f(X2,f(f(f(X1,a),a),a)),X0)))),
% 255.05/32.76 inference(resolution,[status(thm)],[f8,f10])).
% 255.05/32.76 fof(f19,plain,(
% 255.05/32.76 ![X0,X1,X2,X3]: (step(f(X0,f(f(f(f(X1,a),a),X2),f(X3,a))),f(X0,f(f(X3,f(f(f(X2,a),a),a)),X1))))),
% 255.05/32.76 inference(resolution,[status(thm)],[f18,f14])).
% 255.05/32.76 fof(f20,plain,(
% 255.05/32.76 ![X0,X1,X2,X3]: (step(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3)))),
% 255.05/32.76 inference(resolution,[status(thm)],[f18,f12])).
% 255.05/32.76 fof(f21,plain,(
% 255.05/32.76 ![X0,X1,X2,X3,X4]: (~seq(X0,X1,f(f(f(f(X2,a),a),X3),f(X4,a)))|seq(succ(X0),X1,f(f(X4,f(f(f(X3,a),a),a)),X2)))),
% 255.05/32.76 inference(resolution,[status(thm)],[f18,f17])).
% 255.05/32.76 fof(f33,plain,(
% 255.05/32.76 ![X0,X1,X2,X3,X4,X5]: (~seq(X0,X1,f(X2,f(f(f(f(X3,a),a),X4),f(X5,a))))|seq(succ(X0),X1,f(X2,f(f(X5,f(f(f(X4,a),a),a)),X3))))),
% 255.05/32.76 inference(resolution,[status(thm)],[f19,f17])).
% 255.05/32.76 fof(f39,plain,(
% 255.05/32.76 ![X0,X1,X2,X3,X4]: (step(f(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),X4),f(f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3),X4)))),
% 255.05/32.76 inference(resolution,[status(thm)],[f20,f12])).
% 255.05/32.76 fof(f40,plain,(
% 255.05/32.76 ![X0,X1,X2,X3,X4,X5]: (~seq(X0,X1,f(f(f(f(f(X2,a),a),X3),f(X4,a)),X5))|seq(succ(X0),X1,f(f(f(X4,f(f(f(X3,a),a),a)),X2),X5)))),
% 255.05/32.76 inference(resolution,[status(thm)],[f20,f17])).
% 255.05/32.76 fof(f51,plain,(
% 255.05/32.76 ![X0,X1,X2,X3,X4,X5]: (step(f(f(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),X4),X5),f(f(f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3),X4),X5)))),
% 255.05/32.76 inference(resolution,[status(thm)],[f39,f12])).
% 255.05/32.76 fof(f52,plain,(
% 255.05/32.76 ![X0,X1,X2,X3,X4,X5,X6]: (~seq(X0,X1,f(f(f(f(f(f(X2,a),a),X3),f(X4,a)),X5),X6))|seq(succ(X0),X1,f(f(f(f(X4,f(f(f(X3,a),a),a)),X2),X5),X6)))),
% 255.05/32.76 inference(resolution,[status(thm)],[f39,f17])).
% 255.05/32.76 fof(f76,plain,(
% 255.05/32.76 ![X0,X1,X2,X3,X4,X5,X6]: (step(f(f(f(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),X4),X5),X6),f(f(f(f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3),X4),X5),X6)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f51,f12])).
% 61.15/33.03 fof(f77,plain,(
% 61.15/33.03 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~seq(X0,X1,f(f(f(f(f(f(f(X2,a),a),X3),f(X4,a)),X5),X6),X7))|seq(succ(X0),X1,f(f(f(f(f(X4,f(f(f(X3,a),a),a)),X2),X5),X6),X7)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f51,f17])).
% 61.15/33.03 fof(f222,plain,(
% 61.15/33.03 ![X0,X1,X2,X3,X4,X5]: (~seq(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))),f(f(f(f(f(X0,f(f(f(X1,a),a),a)),X2),X3),X4),X5),f(f(f(f(f(f(f(X2,a),a),X1),f(X0,a)),X3),X4),X5)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f77,f9])).
% 61.15/33.03 fof(f283,plain,(
% 61.15/33.03 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~seq(X0,X1,f(f(f(f(f(f(f(f(X2,a),a),X3),f(X4,a)),X5),X6),X7),X8))|seq(succ(X0),X1,f(f(f(f(f(f(X4,f(f(f(X3,a),a),a)),X2),X5),X6),X7),X8)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f76,f17])).
% 61.15/33.03 fof(f362,plain,(
% 61.15/33.03 ![X0,X1,X2,X3,X4,X5]: (~seq(succ(succ(succ(succ(succ(succ(succ(zero))))))),f(f(f(f(f(X0,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X2),X3),X4),X5),f(f(f(f(f(f(f(f(X0,a),a),a),X1),f(f(f(X2,a),a),a)),X3),X4),X5)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f222,f77])).
% 61.15/33.03 fof(f1175,plain,(
% 61.15/33.03 ![X0,X1,X2,X3,X4,X5,X6]: (seq(succ(zero),f(f(f(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),X4),X5),X6),f(f(f(f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3),X4),X5),X6)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f283,f15])).
% 61.15/33.03 fof(f1267,plain,(
% 61.15/33.03 ![X0,X1,X2,X3,X4,X5,X6]: (seq(succ(succ(zero)),f(f(f(f(f(f(f(f(f(X0,a),a),a),X1),f(f(f(X2,a),a),a)),X3),X4),X5),X6),f(f(f(f(f(f(X0,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X2),X3),X4),X5),X6)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f1175,f283])).
% 61.15/33.03 fof(f3010,plain,(
% 61.15/33.03 ![X0,X1,X2,X3,X4,X5]: (~seq(succ(succ(succ(succ(succ(succ(zero)))))),f(f(f(f(f(X0,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X2),X3),X4),X5),f(f(f(f(f(f(X3,a),a),X2),f(f(f(f(f(X0,a),a),a),X1),a)),X4),X5)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f362,f52])).
% 61.15/33.03 fof(f4272,plain,(
% 61.15/33.03 ![X0,X1,X2,X3,X4]: (~seq(succ(succ(succ(succ(succ(zero))))),f(f(f(f(f(X0,f(f(f(f(f(f(a,a),a),a),a),a),a)),X1),X2),X3),X4),f(f(f(f(f(X3,a),a),f(f(X0,a),a)),f(f(f(f(X2,a),a),X1),a)),X4)))),
% 61.15/33.03 inference(resolution,[status(thm)],[f3010,f40])).
% 61.15/33.03 fof(f4283,plain,(
% 61.15/33.03 ![X0,X1,X2,X3]: (~seq(succ(succ(succ(succ(zero)))),f(f(f(f(f(X0,f(f(f(f(f(f(a,a),a),a),a),a),a)),a),X1),X2),X3),f(f(f(f(X3,a),a),f(X1,a)),f(f(f(f(X2,a),a),f(f(X0,a),a)),a))))),
% 61.15/33.03 inference(resolution,[status(thm)],[f4272,f21])).
% 61.15/33.03 fof(f4293,plain,(
% 61.15/33.03 ![X0,X1,X2,X3]: (~seq(succ(succ(succ(zero))),f(f(f(f(f(f(X0,a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),X1),X2),X3),f(f(f(f(X3,a),a),f(X1,a)),f(f(f(f(a,a),a),X0),f(f(f(X2,a),a),a)))))),
% 61.15/33.03 inference(resolution,[status(thm)],[f4283,f33])).
% 61.15/33.03 fof(f6603,plain,(
% 61.15/33.03 ![X0,X1,X2,X3]: (~seq(succ(succ(zero)),f(f(f(f(f(f(f(f(f(X0,a),a),a),a),f(f(f(f(f(f(a,a),a),a),a),a),a)),a),X1),X2),X3),f(f(f(f(X3,a),a),f(X1,a)),f(f(f(f(f(f(f(X2,a),a),a),a),a),X0),f(f(f(a,a),a),a)))))),
% 61.15/33.03 inference(resolution,[status(thm)],[f4293,f33])).
% 61.15/33.03 fof(f199786,plain,(
% 61.15/33.03 $false),
% 61.15/33.03 inference(resolution,[status(thm)],[f6603,f1267])).
% 61.15/33.03 % SZS output end CNFRefutation for theBenchmark.p
% 18.69/33.17 % Elapsed time: 32.582626 seconds
% 18.69/33.17 % CPU time: 257.256525 seconds
% 18.69/33.17 % Total memory used: 5.149 GB
% 18.69/33.17 % Net memory used: 5.104 GB
%------------------------------------------------------------------------------