%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 03:44:39 PM UTC 2026
% Result : Unsatisfiable 7.13s 1.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n009.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 21 12:03:58 UTC 2026
% 0.02/0.38 % CPUTime :
% 0.02/0.38 % Drodi V4.1.1
% 7.13/1.37 % Refutation found
% 7.13/1.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.13/1.37 % SZS output start CNFRefutation for theBenchmark
% 7.13/1.37 fof(f1,axiom,(
% 7.13/1.37 (![A]: (le(A,A) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f2,axiom,(
% 7.13/1.37 (![A,B,C]: (( ~ le(max(A,B),C)| le(A,C) ) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f3,axiom,(
% 7.13/1.37 (![A,B,C]: (( ~ le(max(A,B),C)| le(B,C) ) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f4,axiom,(
% 7.13/1.37 (![A]: (eq(f(A),a0) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f5,axiom,(
% 7.13/1.37 (![A0,A1,A2,A3,A4,A5,A6]: (( ~ eq(f(A0),a0)| ~ eq(f(A1),a0)| ~ eq(f(A2),a0)| ~ eq(f(A3),a0)| ~ eq(f(A4),a0)| ~ eq(f(A5),a0)| ~ eq(f(A6),a0)| ~ le(s(A0),A1)| ~ le(s(A1),A2)| ~ le(s(A2),A3)| ~ le(s(A3),A4)| ~ le(s(A4),A5)| ~ le(s(A5),A6) ) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f6,plain,(
% 7.13/1.37 ![X0]: (le(X0,X0))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f1])).
% 7.13/1.37 fof(f7,plain,(
% 7.13/1.37 ![A,C]: ((![B]: ~le(max(A,B),C))|le(A,C))),
% 7.13/1.37 inference(miniscoping,[status(thm)],[f2])).
% 7.13/1.37 fof(f8,plain,(
% 7.13/1.37 ![X0,X1,X2]: (~le(max(X0,X1),X2)|le(X0,X2))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f7])).
% 7.13/1.37 fof(f9,plain,(
% 7.13/1.37 ![B,C]: ((![A]: ~le(max(A,B),C))|le(B,C))),
% 7.13/1.37 inference(miniscoping,[status(thm)],[f3])).
% 7.13/1.37 fof(f10,plain,(
% 7.13/1.37 ![X0,X1,X2]: (~le(max(X0,X1),X2)|le(X1,X2))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f9])).
% 7.13/1.37 fof(f11,plain,(
% 7.13/1.37 ![X0]: (eq(f(X0),a0))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f4])).
% 7.13/1.37 fof(f12,plain,(
% 7.13/1.37 ![A5,A6]: ((![A4]: ((![A3]: ((![A2]: ((![A1]: ((![A0]: (((((((~eq(f(A0),a0)|~eq(f(A1),a0))|~eq(f(A2),a0))|~eq(f(A3),a0))|~eq(f(A4),a0))|~eq(f(A5),a0))|~eq(f(A6),a0))|~le(s(A0),A1)))|~le(s(A1),A2)))|~le(s(A2),A3)))|~le(s(A3),A4)))|~le(s(A4),A5)))|~le(s(A5),A6))),
% 7.13/1.37 inference(miniscoping,[status(thm)],[f5])).
% 7.13/1.37 fof(f13,plain,(
% 7.13/1.37 ![X0,X1,X2,X3,X4,X5,X6]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~eq(f(X2),a0)|~eq(f(X3),a0)|~eq(f(X4),a0)|~eq(f(X5),a0)|~eq(f(X6),a0)|~le(s(X0),X1)|~le(s(X1),X2)|~le(s(X2),X3)|~le(s(X3),X4)|~le(s(X4),X5)|~le(s(X5),X6))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f12])).
% 7.13/1.37 fof(f14,plain,(
% 7.13/1.37 ![X0,X1]: (le(X0,max(X0,X1)))),
% 7.13/1.37 inference(resolution,[status(thm)],[f8,f6])).
% 7.13/1.37 fof(f15,plain,(
% 7.13/1.37 ![X0,X1,X2]: (le(X0,max(max(X0,X1),X2)))),
% 7.13/1.37 inference(resolution,[status(thm)],[f14,f8])).
% 7.13/1.37 fof(f16,plain,(
% 7.13/1.37 ![X0,X1,X2,X3]: (le(X0,max(max(max(X0,X1),X2),X3)))),
% 7.13/1.37 inference(resolution,[status(thm)],[f15,f8])).
% 7.13/1.37 fof(f19,plain,(
% 7.13/1.37 ![X0,X1]: (le(X0,max(X1,X0)))),
% 7.13/1.37 inference(resolution,[status(thm)],[f10,f6])).
% 7.13/1.37 fof(f29,plain,(
% 7.13/1.37 ![X0,X1,X2,X3,X4]: (le(X0,max(max(max(max(X0,X1),X2),X3),X4)))),
% 7.13/1.37 inference(resolution,[status(thm)],[f16,f8])).
% 7.13/1.37 fof(f30,plain,(
% 7.13/1.37 ![X0,X1,X2,X3,X4,X5,X6]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~eq(f(X2),a0)|~eq(f(X3),a0)|~eq(f(X4),a0)|~eq(f(X5),a0)|~le(s(X6),X0)|~le(s(X0),X1)|~le(s(X1),X2)|~le(s(X2),X3)|~le(s(X3),X4)|~le(s(X4),X5))),
% 7.13/1.37 inference(forward_subsumption_resolution,[status(thm)],[f13,f11])).
% 7.13/1.37 fof(f38,plain,(
% 7.13/1.37 ![X0,X1,X2,X3,X4,X5]: (~eq(f(s(X0)),a0)|~eq(f(X1),a0)|~eq(f(X2),a0)|~eq(f(X3),a0)|~eq(f(X4),a0)|~eq(f(X5),a0)|~le(s(s(X0)),X1)|~le(s(X1),X2)|~le(s(X2),X3)|~le(s(X3),X4)|~le(s(X4),X5))),
% 7.13/1.38 inference(resolution,[status(thm)],[f30,f6])).
% 7.13/1.38 fof(f46,plain,(
% 7.13/1.38 ![X0,X1,X2,X3,X4,X5]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~eq(f(X2),a0)|~eq(f(X3),a0)|~eq(f(X4),a0)|~le(s(s(X5)),X0)|~le(s(X0),X1)|~le(s(X1),X2)|~le(s(X2),X3)|~le(s(X3),X4))),
% 7.13/1.38 inference(forward_subsumption_resolution,[status(thm)],[f38,f11])).
% 7.13/1.38 fof(f67,plain,(
% 7.13/1.38 ![X0,X1,X2,X3,X4,X5]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~eq(f(X2),a0)|~eq(f(X3),a0)|~le(s(s(X4)),X5)|~le(s(X5),X0)|~le(s(X0),X1)|~le(s(X1),X2)|~le(s(X2),X3))),
% 7.13/1.38 inference(forward_subsumption_resolution,[status(thm)],[f46,f11])).
% 7.13/1.38 fof(f78,plain,(
% 7.13/1.38 ![X0,X1,X2,X3,X4,X5]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~eq(f(X2),a0)|~eq(f(X3),a0)|~le(s(max(X4,s(s(X5)))),X0)|~le(s(X0),X1)|~le(s(X1),X2)|~le(s(X2),X3))),
% 7.13/1.38 inference(resolution,[status(thm)],[f67,f19])).
% 7.13/1.38 fof(f91,plain,(
% 7.13/1.38 ![X0,X1,X2,X3,X4,X5]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~eq(f(X2),a0)|~le(s(max(X3,s(s(X4)))),X5)|~le(s(X5),X0)|~le(s(X0),X1)|~le(s(X1),X2))),
% 7.13/1.39 inference(forward_subsumption_resolution,[status(thm)],[f78,f11])).
% 7.13/1.39 fof(f115,plain,(
% 7.13/1.39 ![X0,X1,X2,X3,X4,X5]: (le(X0,max(max(max(max(max(X0,X1),X2),X3),X4),X5)))),
% 7.13/1.39 inference(resolution,[status(thm)],[f29,f8])).
% 7.13/1.39 fof(f298,plain,(
% 7.13/1.39 ![X0,X1,X2,X3,X4,X5]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~le(s(max(X2,s(s(X3)))),X4)|~le(s(X4),X5)|~le(s(X5),X0)|~le(s(X0),X1))),
% 7.13/1.39 inference(forward_subsumption_resolution,[status(thm)],[f91,f11])).
% 7.13/1.39 fof(f326,plain,(
% 7.13/1.39 ![X0,X1,X2,X3,X4]: (~eq(f(s(X0)),a0)|~eq(f(X1),a0)|~le(s(max(X2,s(s(X3)))),X4)|~le(s(X4),X0)|~le(s(s(X0)),X1))),
% 7.13/1.39 inference(resolution,[status(thm)],[f298,f6])).
% 7.13/1.39 fof(f354,plain,(
% 7.13/1.39 ![X0,X1,X2,X3,X4]: (~eq(f(X0),a0)|~le(s(max(X1,s(s(X2)))),X3)|~le(s(X3),X4)|~le(s(s(X4)),X0))),
% 7.13/1.39 inference(forward_subsumption_resolution,[status(thm)],[f326,f11])).
% 7.13/1.39 fof(f503,plain,(
% 7.13/1.39 ![X0,X1,X2,X3,X4,X5,X6]: (le(X0,max(max(max(max(max(max(X0,X1),X2),X3),X4),X5),X6)))),
% 7.13/1.39 inference(resolution,[status(thm)],[f115,f8])).
% 7.13/1.39 fof(f2001,plain,(
% 7.13/1.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (le(X0,max(max(max(max(max(max(max(X0,X1),X2),X3),X4),X5),X6),X7)))),
% 7.13/1.39 inference(resolution,[status(thm)],[f503,f8])).
% 7.13/1.39 fof(f12127,plain,(
% 7.13/1.39 ![X0,X1,X2,X3,X4]: (~le(s(max(X0,s(s(X1)))),X2)|~le(s(X2),X3)|~le(s(s(X3)),X4))),
% 7.13/1.39 inference(forward_subsumption_resolution,[status(thm)],[f354,f11])).
% 7.13/1.39 fof(f12128,plain,(
% 7.13/1.39 ![X0,X1,X2,X3]: (~le(s(max(X0,s(s(X1)))),X2)|~le(s(X2),X3))),
% 7.13/1.39 inference(resolution,[status(thm)],[f12127,f2001])).
% 7.13/1.39 fof(f12311,plain,(
% 7.13/1.39 ![X0,X1,X2]: (~le(s(max(X0,s(s(X1)))),X2))),
% 7.13/1.39 inference(resolution,[status(thm)],[f12128,f2001])).
% 7.13/1.39 fof(f12494,plain,(
% 7.13/1.39 $false),
% 7.13/1.39 inference(resolution,[status(thm)],[f12311,f2001])).
% 7.13/1.39 % SZS output end CNFRefutation for theBenchmark.p
% 7.13/1.40 % Elapsed time: 1.006961 seconds
% 7.13/1.40 % CPU time: 7.757124 seconds
% 7.13/1.40 % Total memory used: 142.145 MB
% 7.13/1.40 % Net memory used: 124.638 MB
%------------------------------------------------------------------------------