%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN349+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 03:19:26 PM UTC 2026
% Result : Theorem 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN349+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n016.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:55:40 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,conjecture,(
% 0.13/0.37 (? [X1] :(! [X2] :(? [X3] :(! [X4] :( ( big_f(X1,X4)<=> big_f(X2,X4) )=> ( ( ( big_f(X1,X4)<=> big_f(X4,X3) )<=> big_f(X3,X4) )<=> big_f(X4,X2) ) ) ))))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,negated_conjecture,(
% 0.13/0.37 ~((? [X1] :(! [X2] :(? [X3] :(! [X4] :( ( big_f(X1,X4)<=> big_f(X2,X4) )=> ( ( ( big_f(X1,X4)<=> big_f(X4,X3) )<=> big_f(X3,X4) )<=> big_f(X4,X2) ) ) )))))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.37 fof(f3,plain,(
% 0.13/0.37 (![X1]: ?[X2]: ![X3]: ?[X4]: ((big_f(X1,X4)<=>big_f(X2,X4))&(((big_f(X1,X4)<=>big_f(X4,X3))<=>big_f(X3,X4))<~>big_f(X4,X2))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.37 fof(f4,definition,(
% 0.13/0.37 ![X1,X3,X4]: (sP0_prd(X4,X3,X1)<=>(big_f(X1,X4)<=>big_f(X4,X3)))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.37 fof(f5,plain,(
% 0.13/0.37 ![X1]: ?[X2]: ![X3]: ?[X4]: ((big_f(X1,X4)<=>big_f(X2,X4))&((sP0_prd(X4,X3,X1)<=>big_f(X3,X4))<~>big_f(X4,X2)))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.13/0.37 fof(f6,plain,(
% 0.13/0.37 ![X1]: ?[X2]: ![X3]: ?[X4]: (((~big_f(X1,X4)|big_f(X2,X4))&(big_f(X1,X4)|~big_f(X2,X4)))&((((~sP0_prd(X4,X3,X1)|big_f(X3,X4))&(sP0_prd(X4,X3,X1)|~big_f(X3,X4)))|big_f(X4,X2))&(((~sP0_prd(X4,X3,X1)|~big_f(X3,X4))&(sP0_prd(X4,X3,X1)|big_f(X3,X4)))|~big_f(X4,X2))))),
% 0.13/0.37 inference(NNF_transformation,[status(thm)],[f5])).
% 0.13/0.37 fof(f7,plain,(
% 0.13/0.37 ![X1]: ![X3]: (((~big_f(X1,sK1_skl(X3,X1))|big_f(sK0_skl(X1),sK1_skl(X3,X1)))&(big_f(X1,sK1_skl(X3,X1))|~big_f(sK0_skl(X1),sK1_skl(X3,X1))))&((((~sP0_prd(sK1_skl(X3,X1),X3,X1)|big_f(X3,sK1_skl(X3,X1)))&(sP0_prd(sK1_skl(X3,X1),X3,X1)|~big_f(X3,sK1_skl(X3,X1))))|big_f(sK1_skl(X3,X1),sK0_skl(X1)))&(((~sP0_prd(sK1_skl(X3,X1),X3,X1)|~big_f(X3,sK1_skl(X3,X1)))&(sP0_prd(sK1_skl(X3,X1),X3,X1)|big_f(X3,sK1_skl(X3,X1))))|~big_f(sK1_skl(X3,X1),sK0_skl(X1)))))),
% 0.13/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X2,sK0_skl(X1)),skolemize(X4,sK1_skl(X3,X1))],[f6])).
% 0.13/0.37 fof(f8,plain,(
% 0.13/0.37 ![X0,X1]: (~big_f(X0,sK1_skl(X1,X0))|big_f(sK0_skl(X0),sK1_skl(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f9,plain,(
% 0.13/0.37 ![X0,X1]: (big_f(X0,sK1_skl(X1,X0))|~big_f(sK0_skl(X0),sK1_skl(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f10,plain,(
% 0.13/0.37 ![X0,X1]: (~sP0_prd(sK1_skl(X0,X1),X0,X1)|big_f(X0,sK1_skl(X0,X1))|big_f(sK1_skl(X0,X1),sK0_skl(X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f11,plain,(
% 0.13/0.37 ![X0,X1]: (sP0_prd(sK1_skl(X0,X1),X0,X1)|~big_f(X0,sK1_skl(X0,X1))|big_f(sK1_skl(X0,X1),sK0_skl(X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f12,plain,(
% 0.13/0.37 ![X0,X1]: (~sP0_prd(sK1_skl(X0,X1),X0,X1)|~big_f(X0,sK1_skl(X0,X1))|~big_f(sK1_skl(X0,X1),sK0_skl(X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f13,plain,(
% 0.13/0.37 ![X0,X1]: (sP0_prd(sK1_skl(X0,X1),X0,X1)|big_f(X0,sK1_skl(X0,X1))|~big_f(sK1_skl(X0,X1),sK0_skl(X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f14,plain,(
% 0.13/0.37 ![X1,X3,X4]: ((~sP0_prd(X4,X3,X1)|((~big_f(X1,X4)|big_f(X4,X3))&(big_f(X1,X4)|~big_f(X4,X3))))&(sP0_prd(X4,X3,X1)|((~big_f(X1,X4)|~big_f(X4,X3))&(big_f(X1,X4)|big_f(X4,X3)))))),
% 0.13/0.37 inference(NNF_transformation,[status(thm)],[f4])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 (![X1,X3,X4]: (~sP0_prd(X4,X3,X1)|((~big_f(X1,X4)|big_f(X4,X3))&(big_f(X1,X4)|~big_f(X4,X3)))))&(![X1,X3,X4]: (sP0_prd(X4,X3,X1)|((~big_f(X1,X4)|~big_f(X4,X3))&(big_f(X1,X4)|big_f(X4,X3)))))),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|~big_f(X2,X0)|big_f(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|big_f(X2,X0)|~big_f(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![X0,X1,X2]: (sP0_prd(X0,X1,X2)|~big_f(X2,X0)|~big_f(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 ![X0,X1,X2]: (sP0_prd(X0,X1,X2)|big_f(X2,X0)|big_f(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 ![X0,X1]: (big_f(X0,sK1_skl(X0,X1))|big_f(sK1_skl(X0,X1),sK0_skl(X1))|big_f(X1,sK1_skl(X0,X1))|big_f(sK1_skl(X0,X1),X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f10,f19])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![X0]: (big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0))|big_f(X0,sK1_skl(sK0_skl(X0),X0))|sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0)|big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f20,f13])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 ![X0,X1]: (big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0))|big_f(X0,sK1_skl(sK0_skl(X0),X0))|~sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X1)|big_f(X1,sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f20,f17])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 ![X0]: (big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0))|big_f(X0,sK1_skl(sK0_skl(X0),X0))|sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(thm)],[f21])).
% 0.13/0.37 fof(f37,plain,(
% 0.13/0.37 ![X0]: (big_f(X0,sK1_skl(sK0_skl(X0),X0))|sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f36,f9])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 ![X0,X1]: (big_f(X0,sK1_skl(sK0_skl(X0),X0))|~sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X1)|big_f(X1,sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f27,f9])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 ![X0]: (big_f(X0,sK1_skl(sK0_skl(X0),X0))|big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0))|big_f(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f37,f10])).
% 0.13/0.37 fof(f44,plain,(
% 0.13/0.37 ![X0]: (big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0))|big_f(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0)))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f43,f8])).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 ![X0]: (big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0))|sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0)|big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f44,f13])).
% 0.13/0.37 fof(f50,plain,(
% 0.13/0.37 ![X0]: (big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0))|sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(thm)],[f45])).
% 0.13/0.37 fof(f83,plain,(
% 0.13/0.37 ![X0]: (big_f(X0,sK1_skl(sK0_skl(X0),X0))|big_f(X0,sK1_skl(sK0_skl(X0),X0))|big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f40,f50])).
% 0.13/0.37 fof(f84,plain,(
% 0.13/0.37 ![X0]: (big_f(X0,sK1_skl(sK0_skl(X0),X0))|big_f(X0,sK1_skl(sK0_skl(X0),X0))|big_f(X0,sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f40,f37])).
% 0.13/0.37 fof(f86,plain,(
% 0.13/0.37 ![X0]: (big_f(X0,sK1_skl(sK0_skl(X0),X0))|big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(thm)],[f83])).
% 0.13/0.37 fof(f87,plain,(
% 0.13/0.37 ![X0]: (big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f86,f8])).
% 0.13/0.37 fof(f88,plain,(
% 0.13/0.37 ![X0]: (big_f(X0,sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(thm)],[f84])).
% 0.13/0.37 fof(f103,plain,(
% 0.13/0.37 ![X0,X1]: (sP0_prd(sK1_skl(sK0_skl(X0),X0),X1,X0)|~big_f(sK1_skl(sK0_skl(X0),X0),X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f88,f18])).
% 0.13/0.37 fof(f105,plain,(
% 0.13/0.37 ![X0,X1]: (~sP0_prd(sK1_skl(sK0_skl(X0),X0),X1,X0)|big_f(sK1_skl(sK0_skl(X0),X0),X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f88,f16])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 ![X0]: (sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0)|big_f(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f87,f11])).
% 0.13/0.37 fof(f139,plain,(
% 0.13/0.37 ![X0]: (big_f(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0)))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f108,f105])).
% 0.13/0.37 fof(f140,plain,(
% 0.13/0.37 ![X0]: (sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f139,f103])).
% 0.13/0.37 fof(f142,plain,(
% 0.13/0.37 ![X0]: (~sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0)|~big_f(sK0_skl(X0),sK1_skl(sK0_skl(X0),X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f139,f12])).
% 0.13/0.37 fof(f147,plain,(
% 0.13/0.37 ![X0]: (~sP0_prd(sK1_skl(sK0_skl(X0),X0),sK0_skl(X0),X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f142,f87])).
% 0.13/0.37 fof(f154,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f147,f140])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.031779 seconds
% 0.13/0.39 % CPU time: 0.079067 seconds
% 0.13/0.39 % Total memory used: 5.724 MB
% 0.13/0.39 % Net memory used: 5.522 MB
%------------------------------------------------------------------------------