%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO691-1.000 : TPTP v9.3.1. Released v7.3.0.
% 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 03:44:47 PM UTC 2026
% Result : Unsatisfiable 0.26s 5.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO691-1.000 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/5.49 % Computer : n026.cluster.edu
% 0.21/5.49 % Model : x86_64 x86_64
% 0.21/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/5.49 % Memory : 8046.5625MB
% 0.21/5.49 % OS : Linux 6.8.0-71-generic
% 0.21/5.49 % CPULimit : 300
% 0.21/5.49 % WCLimit : 300
% 0.21/5.49 % DateTime : Mon Sep 21 12:12:27 UTC 2026
% 0.21/5.49 % CPUTime :
% 0.26/5.50 % Drodi V4.1.1
% 0.26/5.54 % Refutation found
% 0.26/5.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/5.54 % SZS output start CNFRefutation for theBenchmark
% 0.26/5.54 fof(f1,axiom,(
% 0.26/5.54 (![Z,Y,X]: (top(f(f(Z,Y),f(X,a)),f(f(X,f(Y,a)),Z)) ))),
% 0.26/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/5.54 fof(f2,negated_conjecture,(
% 0.26/5.54 (![X]: (~ seq(succ(succ(succ(zero))),X,X) ))),
% 0.26/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/5.54 fof(f3,axiom,(
% 0.26/5.54 (![X,Y]: (( ~ top(X,Y)| step(X,Y) ) ))),
% 0.26/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/5.54 fof(f4,axiom,(
% 0.26/5.54 (![X,Y,Z]: (( ~ step(X,Y)| step(f(X,Z),f(Y,Z)) ) ))),
% 0.26/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/5.54 fof(f5,axiom,(
% 0.26/5.54 (![Y,Z,X]: (( ~ step(Y,Z)| step(f(X,Y),f(X,Z)) ) ))),
% 0.26/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/5.54 fof(f6,axiom,(
% 0.26/5.54 (![X]: (seq(zero,X,X) ))),
% 0.26/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/5.54 fof(f7,axiom,(
% 0.26/5.54 (![N,X,Y,Z]: (( ~ seq(N,X,Y)| ~ step(Y,Z)| seq(succ(N),X,Z) ) ))),
% 0.26/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/5.54 fof(f8,plain,(
% 0.26/5.54 ![X0,X1,X2]: (top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)))),
% 0.26/5.54 inference(cnf_transformation,[status(thm)],[f1])).
% 0.26/5.54 fof(f9,plain,(
% 0.26/5.54 ![X0]: (~seq(succ(succ(succ(zero))),X0,X0))),
% 0.26/5.54 inference(cnf_transformation,[status(thm)],[f2])).
% 0.26/5.54 fof(f10,plain,(
% 0.26/5.54 ![X0,X1]: (~top(X0,X1)|step(X0,X1))),
% 0.26/5.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.26/5.54 fof(f11,plain,(
% 0.26/5.54 ![X,Y]: (~step(X,Y)|(![Z]: step(f(X,Z),f(Y,Z))))),
% 0.26/5.54 inference(miniscoping,[status(thm)],[f4])).
% 0.26/5.54 fof(f12,plain,(
% 0.26/5.54 ![X0,X1,X2]: (~step(X0,X1)|step(f(X0,X2),f(X1,X2)))),
% 0.26/5.54 inference(cnf_transformation,[status(thm)],[f11])).
% 0.26/5.54 fof(f13,plain,(
% 0.26/5.54 ![Y,Z]: (~step(Y,Z)|(![X]: step(f(X,Y),f(X,Z))))),
% 0.26/5.54 inference(miniscoping,[status(thm)],[f5])).
% 0.26/5.54 fof(f14,plain,(
% 0.26/5.54 ![X0,X1,X2]: (~step(X0,X1)|step(f(X2,X0),f(X2,X1)))),
% 0.26/5.54 inference(cnf_transformation,[status(thm)],[f13])).
% 0.26/5.54 fof(f15,plain,(
% 0.26/5.54 ![X0]: (seq(zero,X0,X0))),
% 0.26/5.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.26/5.54 fof(f16,plain,(
% 0.26/5.54 ![N,X,Z]: ((![Y]: (~seq(N,X,Y)|~step(Y,Z)))|seq(succ(N),X,Z))),
% 0.26/5.54 inference(miniscoping,[status(thm)],[f7])).
% 0.26/5.54 fof(f17,plain,(
% 0.26/5.54 ![X0,X1,X2,X3]: (~seq(X0,X1,X2)|~step(X2,X3)|seq(succ(X0),X1,X3))),
% 0.26/5.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.26/5.54 fof(f18,plain,(
% 0.26/5.54 ![X0,X1,X2]: (step(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)))),
% 0.26/5.54 inference(resolution,[status(thm)],[f8,f10])).
% 0.26/5.54 fof(f19,plain,(
% 0.26/5.54 ![X0,X1,X2,X3]: (step(f(X0,f(f(X1,X2),f(X3,a))),f(X0,f(f(X3,f(X2,a)),X1))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f18,f14])).
% 0.26/5.54 fof(f20,plain,(
% 0.26/5.54 ![X0,X1,X2,X3]: (step(f(f(f(X0,X1),f(X2,a)),X3),f(f(f(X2,f(X1,a)),X0),X3)))),
% 0.26/5.54 inference(resolution,[status(thm)],[f18,f12])).
% 0.26/5.54 fof(f25,plain,(
% 0.26/5.54 ![X0,X1,X2,X3,X4]: (step(f(X0,f(X1,f(f(X2,X3),f(X4,a)))),f(X0,f(X1,f(f(X4,f(X3,a)),X2)))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f19,f14])).
% 0.26/5.54 fof(f27,plain,(
% 0.26/5.54 ![X0,X1,X2,X3,X4,X5]: (~seq(X0,X1,f(X2,f(f(X3,X4),f(X5,a))))|seq(succ(X0),X1,f(X2,f(f(X5,f(X4,a)),X3))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f19,f17])).
% 0.26/5.54 fof(f29,plain,(
% 0.26/5.54 ![X0,X1,X2,X3]: (seq(succ(zero),f(X0,f(f(X1,X2),f(X3,a))),f(X0,f(f(X3,f(X2,a)),X1))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f27,f15])).
% 0.26/5.54 fof(f32,plain,(
% 0.26/5.54 ![X0,X1,X2,X3,X4]: (step(f(X0,f(f(f(X1,X2),f(X3,a)),X4)),f(X0,f(f(f(X3,f(X2,a)),X1),X4))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f20,f14])).
% 0.26/5.54 fof(f39,plain,(
% 0.26/5.54 ![X0,X1,X2,X3,X4,X5,X6]: (~seq(X0,X1,f(X2,f(X3,f(f(X4,X5),f(X6,a)))))|seq(succ(X0),X1,f(X2,f(X3,f(f(X6,f(X5,a)),X4)))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f25,f17])).
% 0.26/5.54 fof(f45,plain,(
% 0.26/5.54 ![X0,X1,X2,X3,X4,X5,X6]: (~seq(X0,X1,f(X2,f(f(f(X3,X4),f(X5,a)),X6)))|seq(succ(X0),X1,f(X2,f(f(f(X5,f(X4,a)),X3),X6))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f32,f17])).
% 0.26/5.54 fof(f69,plain,(
% 0.26/5.54 ![X0,X1,X2,X3,X4]: (~seq(succ(succ(zero)),f(X0,f(X1,f(f(X2,f(X3,a)),X4))),f(X0,f(X1,f(f(X4,X3),f(X2,a))))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f39,f9])).
% 0.26/5.54 fof(f102,plain,(
% 0.26/5.54 ![X0,X1,X2,X3,X4]: (seq(succ(succ(zero)),f(X0,f(f(X1,X2),f(f(X3,X4),a))),f(X0,f(f(f(X2,f(X4,a)),X3),X1))))),
% 0.26/5.54 inference(resolution,[status(thm)],[f45,f29])).
% 0.26/5.54 fof(f112,plain,(
% 0.26/5.54 $false),
% 0.26/5.56 inference(resolution,[status(thm)],[f102,f69])).
% 0.26/5.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/5.61 % Elapsed time: 0.111167 seconds
% 0.26/5.61 % CPU time: 0.146796 seconds
% 0.26/5.61 % Total memory used: 15.271 MB
% 0.26/5.61 % Net memory used: 15.236 MB
%------------------------------------------------------------------------------