%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 03:21:35 PM UTC 2026
% Result : Theorem 0.12s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.56 % Computer : n008.cluster.edu
% 0.12/0.56 % Model : x86_64 x86_64
% 0.12/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.56 % Memory : 8046.5625MB
% 0.12/0.56 % OS : Linux 6.8.0-71-generic
% 0.12/0.56 % CPULimit : 300
% 0.12/0.56 % WCLimit : 300
% 0.12/0.56 % DateTime : Mon Sep 21 11:31:24 UTC 2026
% 0.12/0.56 % CPUTime :
% 0.12/0.57 % Drodi V4.1.1
% 0.12/0.59 % Refutation found
% 0.12/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.59 fof(f1,conjecture,(
% 0.12/0.59 (! [A] :(? [X,X2,X3,X4,Y] :( ( p(A)& e(A)& ( e(X)=> ( g(X)| s(X,f(X)) ) )& ( e(X2)=> ( g(X2)| c(f(X2)) ) )& ( s(A,Y)=> p(Y) ) )=> ( ( p(X3)& g(X3) )| ( p(X4)& c(X4) ) ) ) ))),
% 0.12/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.59 fof(f2,negated_conjecture,(
% 0.12/0.59 ~((! [A] :(? [X,X2,X3,X4,Y] :( ( p(A)& e(A)& ( e(X)=> ( g(X)| s(X,f(X)) ) )& ( e(X2)=> ( g(X2)| c(f(X2)) ) )& ( s(A,Y)=> p(Y) ) )=> ( ( p(X3)& g(X3) )| ( p(X4)& c(X4) ) ) ) )))),
% 0.12/0.59 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.59 fof(f3,plain,(
% 0.12/0.59 (?[A]: ![X,X2,X3,X4,Y]: (((((p(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p(Y)))&((~p(X3)|~g(X3))&(~p(X4)|~c(X4)))))),
% 0.12/0.59 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f4,plain,(
% 0.12/0.59 (?[A]: ((((p(A)&e(A))&(![X]: (~e(X)|(g(X)|s(X,f(X))))))&(![X2]: (~e(X2)|(g(X2)|c(f(X2))))))&(![Y]: (~s(A,Y)|p(Y)))))&((![X3]: (~p(X3)|~g(X3)))&(![X4]: (~p(X4)|~c(X4))))),
% 0.12/0.59 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.59 fof(f5,plain,(
% 0.12/0.59 ((((p(sK0_skl)&e(sK0_skl))&(![X]: (~e(X)|(g(X)|s(X,f(X))))))&(![X2]: (~e(X2)|(g(X2)|c(f(X2))))))&(![Y]: (~s(sK0_skl,Y)|p(Y))))&((![X3]: (~p(X3)|~g(X3)))&(![X4]: (~p(X4)|~c(X4))))),
% 0.12/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(A,sK0_skl)],[f4])).
% 0.12/0.59 fof(f6,plain,(
% 0.12/0.59 p(sK0_skl)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f7,plain,(
% 0.12/0.59 e(sK0_skl)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f8,plain,(
% 0.12/0.59 ![X0]: (~e(X0)|g(X0)|s(X0,f(X0)))),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f9,plain,(
% 0.12/0.59 ![X0]: (~e(X0)|g(X0)|c(f(X0)))),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f10,plain,(
% 0.12/0.59 ![X0]: (~s(sK0_skl,X0)|p(X0))),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f11,plain,(
% 0.12/0.59 ![X0]: (~p(X0)|~g(X0))),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f12,plain,(
% 0.12/0.59 ![X0]: (~p(X0)|~c(X0))),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f13,plain,(
% 0.12/0.59 p(f(sK0_skl))|~e(sK0_skl)|g(sK0_skl)),
% 0.12/0.59 inference(resolution,[status(thm)],[f10,f8])).
% 0.12/0.59 fof(f14,definition,(
% 0.12/0.59 sQ0_spl <=> (p(f(sK0_skl)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.59 fof(f15,plain,(
% 0.12/0.59 p(f(sK0_skl))|~sQ0_spl),
% 0.12/0.59 inference(component_clause,[status(thm)],[f14])).
% 0.12/0.59 fof(f17,definition,(
% 0.12/0.59 sQ1_spl <=> (e(sK0_skl))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.59 fof(f19,plain,(
% 0.12/0.59 ~e(sK0_skl)|sQ1_spl),
% 0.12/0.59 inference(component_clause,[status(thm)],[f17])).
% 0.12/0.59 fof(f20,definition,(
% 0.12/0.59 sQ2_spl <=> (g(sK0_skl))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.59 fof(f21,plain,(
% 0.12/0.59 g(sK0_skl)|~sQ2_spl),
% 0.12/0.59 inference(component_clause,[status(thm)],[f20])).
% 0.12/0.59 fof(f23,plain,(
% 0.12/0.59 sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.12/0.59 inference(split_clause,[status(thm)],[f13,f14,f17,f20])).
% 0.12/0.59 fof(f24,plain,(
% 0.12/0.59 ~p(sK0_skl)|~sQ2_spl),
% 0.12/0.59 inference(resolution,[status(thm)],[f21,f11])).
% 0.12/0.59 fof(f25,plain,(
% 0.12/0.59 $false|~sQ2_spl),
% 0.12/0.59 inference(forward_subsumption_resolution,[status(thm)],[f24,f6])).
% 0.12/0.59 fof(f26,plain,(
% 0.12/0.59 ~sQ2_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f25])).
% 0.12/0.59 fof(f27,plain,(
% 0.12/0.59 ![X0]: (~e(X0)|g(X0)|~p(f(X0)))),
% 0.12/0.59 inference(resolution,[status(thm)],[f9,f12])).
% 0.12/0.59 fof(f28,plain,(
% 0.12/0.59 ~e(sK0_skl)|g(sK0_skl)|~sQ0_spl),
% 0.12/0.59 inference(resolution,[status(thm)],[f27,f15])).
% 0.12/0.59 fof(f29,plain,(
% 0.12/0.59 ~sQ1_spl|sQ2_spl|~sQ0_spl),
% 0.12/0.59 inference(split_clause,[status(thm)],[f28,f17,f20,f14])).
% 0.12/0.59 fof(f30,plain,(
% 0.12/0.59 $false|sQ1_spl),
% 0.12/0.59 inference(forward_subsumption_resolution,[status(thm)],[f19,f7])).
% 0.12/0.59 fof(f31,plain,(
% 0.12/0.59 sQ1_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f30])).
% 0.12/0.59 fof(f32,plain,(
% 0.12/0.59 $false),
% 0.12/0.59 inference(sat_refutation,[status(thm)],[f23,f26,f29,f31])).
% 0.12/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.61 % Elapsed time: 0.044466 seconds
% 0.12/0.61 % CPU time: 0.108649 seconds
% 0.12/0.61 % Total memory used: 14.521 MB
% 0.12/0.61 % Net memory used: 14.039 MB
%------------------------------------------------------------------------------