%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO614-1 : 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 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:04:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f1,axiom,(
% 0.10/0.37 (![A]: (le(A,A) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f2,axiom,(
% 0.10/0.37 (![A,B,C]: (( ~ le(max(A,B),C)| le(A,C) ) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f3,axiom,(
% 0.10/0.37 (![A,B,C]: (( ~ le(max(A,B),C)| le(B,C) ) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f4,axiom,(
% 0.10/0.37 (![A]: (( eq(f(A),a0)| eq(f(A),a1) ) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f5,axiom,(
% 0.10/0.37 (![A0,A1]: (( ~ eq(f(A0),a0)| ~ eq(f(A1),a0)| ~ le(s(A0),A1) ) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f6,axiom,(
% 0.10/0.37 (![A0,A1]: (( ~ eq(f(A0),a1)| ~ eq(f(A1),a1)| ~ le(s(A0),A1) ) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f7,plain,(
% 0.10/0.37 ![X0]: (le(X0,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.37 fof(f8,plain,(
% 0.10/0.37 ![A,C]: ((![B]: ~le(max(A,B),C))|le(A,C))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f2])).
% 0.10/0.37 fof(f9,plain,(
% 0.10/0.37 ![X0,X1,X2]: (~le(max(X0,X1),X2)|le(X0,X2))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.37 fof(f10,plain,(
% 0.10/0.37 ![B,C]: ((![A]: ~le(max(A,B),C))|le(B,C))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.37 fof(f11,plain,(
% 0.10/0.37 ![X0,X1,X2]: (~le(max(X0,X1),X2)|le(X1,X2))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.37 fof(f12,plain,(
% 0.10/0.37 ![X0]: (eq(f(X0),a0)|eq(f(X0),a1))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.37 fof(f13,plain,(
% 0.10/0.37 ![X0,X1]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~le(s(X0),X1))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.37 fof(f14,plain,(
% 0.10/0.37 ![X0,X1]: (~eq(f(X0),a1)|~eq(f(X1),a1)|~le(s(X0),X1))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.37 fof(f15,plain,(
% 0.10/0.37 ![X0,X1]: (le(X0,max(X0,X1)))),
% 0.10/0.37 inference(resolution,[status(thm)],[f9,f7])).
% 0.10/0.37 fof(f16,plain,(
% 0.10/0.37 ![X0,X1]: (le(X0,max(X1,X0)))),
% 0.10/0.37 inference(resolution,[status(thm)],[f11,f7])).
% 0.10/0.37 fof(f37,plain,(
% 0.10/0.37 ![X0,X1]: (~eq(f(X0),a0)|~eq(f(max(s(X0),X1)),a0))),
% 0.10/0.37 inference(resolution,[status(thm)],[f13,f15])).
% 0.10/0.37 fof(f39,plain,(
% 0.10/0.37 ![X0,X1]: (~eq(f(X0),a1)|~le(s(X0),X1)|eq(f(X1),a0))),
% 0.10/0.37 inference(resolution,[status(thm)],[f14,f12])).
% 0.10/0.37 fof(f46,plain,(
% 0.10/0.37 ![X0,X1]: (~eq(f(X0),a1)|~eq(f(max(s(X0),X1)),a1))),
% 0.10/0.37 inference(resolution,[status(thm)],[f14,f15])).
% 0.10/0.37 fof(f53,plain,(
% 0.10/0.37 ![X0,X1]: (~eq(f(X0),a1)|eq(f(max(X1,s(X0))),a0))),
% 0.10/0.37 inference(resolution,[status(thm)],[f39,f16])).
% 0.10/0.37 fof(f152,plain,(
% 0.10/0.37 ![X0,X1]: (eq(f(max(X0,s(X1))),a0)|eq(f(X1),a0))),
% 0.10/0.37 inference(resolution,[status(thm)],[f53,f12])).
% 0.10/0.37 fof(f153,plain,(
% 0.10/0.37 ![X0,X1]: (eq(f(X0),a0)|~eq(f(X1),a0))),
% 0.10/0.37 inference(resolution,[status(thm)],[f152,f37])).
% 0.10/0.37 fof(f156,definition,(
% 0.10/0.37 ![X0]: (sQ0_spl <=> (eq(f(X0),a0)))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f157,plain,(
% 0.10/0.37 ![X0]: (eq(f(X0),a0)|~sQ0_spl)),
% 0.10/0.37 inference(component_clause,[status(thm)],[f156])).
% 0.10/0.37 fof(f159,definition,(
% 0.10/0.37 ![X1]: (sQ1_spl <=> (~eq(f(X1),a0)))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f160,plain,(
% 0.10/0.37 ![X0]: (~eq(f(X0),a0)|~sQ1_spl)),
% 0.10/0.37 inference(component_clause,[status(thm)],[f159])).
% 0.10/0.37 fof(f162,plain,(
% 0.10/0.37 sQ0_spl|sQ1_spl),
% 0.10/0.37 inference(split_clause,[status(thm)],[f153,f156,f159])).
% 0.10/0.37 fof(f168,plain,(
% 0.10/0.37 ![X0,X1]: (~eq(f(max(s(X0),X1)),a0)|~sQ0_spl)),
% 0.10/0.37 inference(backward_subsumption_resolution,[status(thm)],[f37,f157])).
% 0.10/0.37 fof(f172,plain,(
% 0.10/0.37 $false|~sQ0_spl),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f168,f157])).
% 0.10/0.37 fof(f173,plain,(
% 0.10/0.37 ~sQ0_spl),
% 0.10/0.37 inference(contradiction_clause,[status(thm)],[f172])).
% 0.10/0.37 fof(f174,plain,(
% 0.10/0.37 ![X0,X1]: (~eq(f(max(s(X0),X1)),a1)|~sQ1_spl)),
% 0.10/0.37 inference(backward_subsumption_resolution,[status(thm)],[f46,f178])).
% 0.10/0.37 fof(f178,plain,(
% 0.10/0.37 ![X0]: (eq(f(X0),a1)|~sQ1_spl)),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f12,f160])).
% 0.10/0.37 fof(f179,plain,(
% 0.10/0.37 $false|~sQ1_spl),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f174,f178])).
% 0.10/0.37 fof(f180,plain,(
% 0.10/0.37 ~sQ1_spl),
% 0.10/0.37 inference(contradiction_clause,[status(thm)],[f179])).
% 0.10/0.38 fof(f181,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(sat_refutation,[status(thm)],[f162,f173,f180])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.39 % Elapsed time: 0.029867 seconds
% 0.10/0.39 % CPU time: 0.096794 seconds
% 0.10/0.39 % Total memory used: 2.291 MB
% 0.10/0.39 % Net memory used: 2.223 MB
%------------------------------------------------------------------------------