%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN986+1.003 : TPTP v9.3.1. Released v4.0.0.
% 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 03:21:40 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN986+1.003 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:34:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (! [Y] : r(Y,zero,succ(Y)) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (! [Y,X,Z,Z1] :( r(Y,X,Z)=> ( r(Z,X,Z1)=> r(Y,succ(X),Z1) ) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,conjecture,(
% 0.13/0.40 (? [Z3,Z2,Z1,Z0] :( r(zero,zero,Z3)& r(zero,Z3,Z2)& r(zero,Z2,Z1)& r(zero,Z1,Z0) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,negated_conjecture,(
% 0.13/0.40 ~((? [Z3,Z2,Z1,Z0] :( r(zero,zero,Z3)& r(zero,Z3,Z2)& r(zero,Z2,Z1)& r(zero,Z1,Z0) ) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.40 fof(f5,plain,(
% 0.13/0.40 ![X0]: (r(X0,zero,succ(X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f6,plain,(
% 0.13/0.40 ![Y,X,Z,Z1]: (~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f7,plain,(
% 0.13/0.40 ![Y,X,Z]: (~r(Y,X,Z)|(![Z1]: (~r(Z,X,Z1)|r(Y,succ(X),Z1))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.40 fof(f8,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~r(X0,X1,X2)|~r(X2,X1,X3)|r(X0,succ(X1),X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f9,plain,(
% 0.13/0.40 (![Z3,Z2,Z1,Z0]: (((~r(zero,zero,Z3)|~r(zero,Z3,Z2))|~r(zero,Z2,Z1))|~r(zero,Z1,Z0)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f10,plain,(
% 0.13/0.40 ![Z1]: ((![Z2]: ((![Z3]: (~r(zero,zero,Z3)|~r(zero,Z3,Z2)))|~r(zero,Z2,Z1)))|(![Z0]: ~r(zero,Z1,Z0)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.40 fof(f11,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~r(zero,zero,X0)|~r(zero,X0,X1)|~r(zero,X1,X2)|~r(zero,X2,X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f12,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~r(zero,succ(zero),X0)|~r(zero,X0,X1)|~r(zero,X1,X2))),
% 0.13/0.40 inference(resolution,[status(thm)],[f5,f11])).
% 0.13/0.40 fof(f13,plain,(
% 0.13/0.40 ![X0,X1]: (~r(X0,zero,X1)|r(X0,succ(zero),succ(X1)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f8,f5])).
% 0.13/0.40 fof(f14,plain,(
% 0.13/0.40 ![X0]: (r(X0,succ(zero),succ(succ(X0))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f13,f5])).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![X0,X1]: (~r(zero,succ(succ(zero)),X0)|~r(zero,X0,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f14,f12])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 ![X0,X1]: (~r(X0,succ(zero),X1)|r(X0,succ(succ(zero)),succ(succ(X1))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f14,f8])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 ![X0]: (r(X0,succ(succ(zero)),succ(succ(succ(succ(X0))))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f16,f14])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 ![X0]: (~r(zero,succ(succ(succ(succ(zero)))),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f17,f15])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![X0,X1]: (~r(X0,succ(succ(zero)),X1)|r(X0,succ(succ(succ(zero))),succ(succ(succ(succ(X1))))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f17,f8])).
% 0.13/0.40 fof(f20,plain,(
% 0.13/0.40 ![X0]: (r(X0,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f19,f17])).
% 0.13/0.40 fof(f21,plain,(
% 0.13/0.40 ![X0,X1]: (~r(X0,succ(succ(succ(zero))),X1)|r(X0,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f20,f8])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ![X0]: (r(X0,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))))))))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f21,f20])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(resolution,[status(thm)],[f22,f18])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.060196 seconds
% 0.13/0.43 % CPU time: 0.156753 seconds
% 0.13/0.43 % Total memory used: 39.809 MB
% 0.13/0.43 % Net memory used: 39.420 MB
%------------------------------------------------------------------------------