%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 03:18:52 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.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 10:44:51 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (! [Z] :(? [W] :(! [X] :(? [Y] :( ( big_p(X,Z)=> big_p(Y,W) )& big_p(Y,Z)& ( big_p(Y,W)=> (? [U] : big_q(U,W) )) ) ))))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (! [X,Z] :( ~ big_p(X,Z)=> (? [Y] : big_q(Y,Z) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 ( (? [X,Y] : big_q(X,Y))=> (! [Z] : big_r(Z,Z) )) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,conjecture,(
% 0.14/0.38 (! [X] :(? [Y] : big_r(X,Y) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,negated_conjecture,(
% 0.14/0.38 ~((! [X] :(? [Y] : big_r(X,Y) )))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f4])).
% 0.14/0.38 fof(f6,plain,(
% 0.14/0.38 ![Z]: (?[W]: ![X]: ?[Y]: (((~big_p(X,Z)|big_p(Y,W))&big_p(Y,Z))&(~big_p(Y,W)|(?[U]: big_q(U,W)))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f7,plain,(
% 0.14/0.38 ![Z]: ![X]: (((~big_p(X,Z)|big_p(sK1_skl(X,Z),sK0_skl(Z)))&big_p(sK1_skl(X,Z),Z))&(~big_p(sK1_skl(X,Z),sK0_skl(Z))|big_q(sK2_skl(X,Z),sK0_skl(Z))))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(W,sK0_skl(Z)),skolemize(Y,sK1_skl(X,Z)),skolemize(U,sK2_skl(X,Z))],[f6])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0,X1]: (~big_p(sK1_skl(X0,X1),sK0_skl(X1))|big_q(sK2_skl(X0,X1),sK0_skl(X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![X,Z]: (big_p(X,Z)|(?[Y]: big_q(Y,Z)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![Z]: ((![X]: big_p(X,Z))|(?[Y]: big_q(Y,Z)))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f11])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![Z]: ((![X]: big_p(X,Z))|big_q(sK3_skl(Z),Z))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(Z))],[f12])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0,X1]: (big_p(X0,X1)|big_q(sK3_skl(X1),X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 (![X,Y]: ~big_q(X,Y))|(![Z]: big_r(Z,Z))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~big_q(X0,X1)|big_r(X2,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 (?[X]: ![Y]: ~big_r(X,Y))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 ![Y]: ~big_r(sK4_skl,Y)),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X,sK4_skl)],[f17])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ![X0]: (~big_r(sK4_skl,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.38 fof(f20,definition,(
% 0.14/0.38 ![X0,X1]: (sQ0_spl <=> (~big_q(X0,X1)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f21,plain,(
% 0.14/0.38 ![X0,X1]: (~big_q(X0,X1)|~sQ0_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f20])).
% 0.14/0.38 fof(f23,definition,(
% 0.14/0.38 ![X2]: (sQ1_spl <=> (big_r(X2,X2)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 ![X0]: (big_r(X0,X0)|~sQ1_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f23])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 sQ0_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f16,f20,f23])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 ![X0,X1]: (big_p(X0,X1)|~sQ0_spl)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f14,f21])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 ![X0,X1]: (big_q(sK2_skl(X0,X1),sK0_skl(X1))|~sQ0_spl)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f10,f27])).
% 0.14/0.38 fof(f29,plain,(
% 0.14/0.38 $false|~sQ0_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f28,f21])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 ~sQ0_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f29])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 $false|~sQ1_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f24,f19])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 ~sQ1_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f31])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f26,f30,f32])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.036716 seconds
% 0.14/0.41 % CPU time: 0.095293 seconds
% 0.14/0.41 % Total memory used: 13.971 MB
% 0.14/0.41 % Net memory used: 13.514 MB
%------------------------------------------------------------------------------