%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 03:18:42 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:44:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,negated_conjecture,(
% 0.10/0.40 (![X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (( ~ p_1(X1,X2)| ~ p_2(X2,X3)| ~ p_3(X3,X4)| ~ p_4(X4,X5)| ~ p_5(X5,X6)| ~ p_6(X6,X7)| ~ p_7(X7,X8)| ~ p_8(X8,X9)| ~ p_9(X9,X10)| ~ p_10(X10,X1) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,negated_conjecture,(
% 0.10/0.40 p_1(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,negated_conjecture,(
% 0.10/0.40 p_2(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,negated_conjecture,(
% 0.10/0.40 p_3(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,negated_conjecture,(
% 0.10/0.40 p_4(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,negated_conjecture,(
% 0.10/0.40 p_5(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f7,negated_conjecture,(
% 0.10/0.40 p_6(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f8,negated_conjecture,(
% 0.10/0.40 p_7(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f9,negated_conjecture,(
% 0.10/0.40 p_8(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,negated_conjecture,(
% 0.10/0.40 p_9(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,negated_conjecture,(
% 0.10/0.40 p_10(a,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,plain,(
% 0.10/0.40 ![X1,X10]: ((![X9]: ((![X8]: ((![X7]: ((![X6]: ((![X5]: ((![X4]: ((![X3]: ((![X2]: (~p_1(X1,X2)|~p_2(X2,X3)))|~p_3(X3,X4)))|~p_4(X4,X5)))|~p_5(X5,X6)))|~p_6(X6,X7)))|~p_7(X7,X8)))|~p_8(X8,X9)))|~p_9(X9,X10)))|~p_10(X10,X1))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.40 fof(f13,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~p_1(X0,X1)|~p_2(X1,X2)|~p_3(X2,X3)|~p_4(X3,X4)|~p_5(X4,X5)|~p_6(X5,X6)|~p_7(X6,X7)|~p_8(X7,X8)|~p_9(X8,X9)|~p_10(X9,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.40 fof(f14,plain,(
% 0.10/0.40 p_1(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f15,plain,(
% 0.10/0.40 p_2(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f16,plain,(
% 0.10/0.40 p_3(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f17,plain,(
% 0.10/0.40 p_4(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f18,plain,(
% 0.10/0.40 p_5(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f19,plain,(
% 0.10/0.40 p_6(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.40 fof(f20,plain,(
% 0.10/0.40 p_7(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f21,plain,(
% 0.10/0.40 p_8(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f22,plain,(
% 0.10/0.40 p_9(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f23,plain,(
% 0.10/0.40 p_10(a,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f24,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~p_2(a,X0)|~p_3(X0,X1)|~p_4(X1,X2)|~p_5(X2,X3)|~p_6(X3,X4)|~p_7(X4,X5)|~p_8(X5,X6)|~p_9(X6,X7)|~p_10(X7,a))),
% 0.10/0.40 inference(resolution,[status(thm)],[f13,f14])).
% 0.10/0.40 fof(f25,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5]: (~p_2(a,a)|~p_4(a,X0)|~p_5(X0,X1)|~p_6(X1,X2)|~p_7(X2,X3)|~p_8(X3,X4)|~p_9(X4,X5)|~p_10(X5,a))),
% 0.10/0.40 inference(resolution,[status(thm)],[f24,f16])).
% 0.10/0.40 fof(f26,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5]: (~p_4(a,X0)|~p_5(X0,X1)|~p_6(X1,X2)|~p_7(X2,X3)|~p_8(X3,X4)|~p_9(X4,X5)|~p_10(X5,a))),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f25,f15])).
% 0.10/0.40 fof(f27,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~p_4(a,a)|~p_6(a,X0)|~p_7(X0,X1)|~p_8(X1,X2)|~p_9(X2,X3)|~p_10(X3,a))),
% 0.10/0.40 inference(resolution,[status(thm)],[f26,f18])).
% 0.10/0.40 fof(f28,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~p_6(a,X0)|~p_7(X0,X1)|~p_8(X1,X2)|~p_9(X2,X3)|~p_10(X3,a))),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f27,f17])).
% 0.10/0.40 fof(f29,plain,(
% 0.10/0.40 ![X0,X1]: (~p_6(a,a)|~p_8(a,X0)|~p_9(X0,X1)|~p_10(X1,a))),
% 0.10/0.40 inference(resolution,[status(thm)],[f28,f20])).
% 0.10/0.40 fof(f30,plain,(
% 0.10/0.40 ![X0,X1]: (~p_8(a,X0)|~p_9(X0,X1)|~p_10(X1,a))),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f29,f19])).
% 0.10/0.40 fof(f31,plain,(
% 0.10/0.40 ~p_8(a,a)|~p_10(a,a)),
% 0.10/0.40 inference(resolution,[status(thm)],[f30,f22])).
% 0.10/0.40 fof(f32,plain,(
% 0.10/0.40 ~p_10(a,a)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f31,f21])).
% 0.10/0.41 fof(f33,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f32,f23])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.049377 seconds
% 0.10/0.43 % CPU time: 0.147873 seconds
% 0.10/0.43 % Total memory used: 55.596 MB
% 0.10/0.43 % Net memory used: 55.171 MB
%------------------------------------------------------------------------------