%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN065+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 : n001.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 03:18:51 PM UTC 2026
% Result : Theorem 0.09s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN065+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
% 0.09/0.50 % Computer : n001.cluster.edu
% 0.09/0.50 % Model : x86_64 x86_64
% 0.09/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.50 % Memory : 8046.5625MB
% 0.09/0.50 % OS : Linux 6.8.0-71-generic
% 0.09/0.50 % CPULimit : 300
% 0.09/0.50 % WCLimit : 300
% 0.09/0.50 % DateTime : Mon Sep 21 10:47:01 UTC 2026
% 0.09/0.50 % CPUTime :
% 0.09/0.51 % Drodi V4.1.1
% 0.09/0.54 % Refutation found
% 0.09/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.54 fof(f1,axiom,(
% 0.09/0.54 (! [X] :(? [Y] : big_f(X,Y) ))),
% 0.09/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f3,axiom,(
% 0.09/0.54 (! [X,Y] :( ( big_f(X,Y)| big_g(X,Y) )=> (! [Z] :( ( big_f(Y,Z)| big_g(Y,Z) )=> big_h(X,Z) ) )) )),
% 0.09/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f4,conjecture,(
% 0.09/0.54 (! [X] :(? [Y] : big_h(X,Y) ))),
% 0.09/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f5,negated_conjecture,(
% 0.09/0.54 ~((! [X] :(? [Y] : big_h(X,Y) )))),
% 0.09/0.54 inference(negated_conjecture,[status(cth)],[f4])).
% 0.09/0.54 fof(f6,plain,(
% 0.09/0.54 ![X]: big_f(X,sK0_skl(X))),
% 0.09/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f1])).
% 0.09/0.54 fof(f7,plain,(
% 0.09/0.54 ![X0]: (big_f(X0,sK0_skl(X0)))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.54 fof(f10,plain,(
% 0.09/0.54 ![X,Y]: ((~big_f(X,Y)&~big_g(X,Y))|(![Z]: ((~big_f(Y,Z)&~big_g(Y,Z))|big_h(X,Z))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.54 fof(f11,definition,(
% 0.09/0.54 ![X,Y]: (sP0_prd(Y,X)<=>(~big_f(X,Y)&~big_g(X,Y)))),
% 0.09/0.54 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.54 fof(f12,plain,(
% 0.09/0.54 ![X,Y]: (sP0_prd(Y,X)|(![Z]: ((~big_f(Y,Z)&~big_g(Y,Z))|big_h(X,Z))))),
% 0.09/0.54 inference(formula_renaming,[status(thm)],[f10,f11])).
% 0.09/0.54 fof(f13,plain,(
% 0.09/0.54 ![X0,X1,X2]: (sP0_prd(X0,X1)|~big_f(X0,X2)|big_h(X1,X2))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.54 fof(f15,plain,(
% 0.09/0.54 (?[X]: ![Y]: ~big_h(X,Y))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.54 fof(f16,plain,(
% 0.09/0.54 ![Y]: ~big_h(sK2_skl,Y)),
% 0.09/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X,sK2_skl)],[f15])).
% 0.09/0.54 fof(f17,plain,(
% 0.09/0.54 ![X0]: (~big_h(sK2_skl,X0))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.54 fof(f18,plain,(
% 0.09/0.54 ![X,Y]: ((~sP0_prd(Y,X)|(~big_f(X,Y)&~big_g(X,Y)))&(sP0_prd(Y,X)|(big_f(X,Y)|big_g(X,Y))))),
% 0.09/0.54 inference(NNF_transformation,[status(thm)],[f11])).
% 0.09/0.54 fof(f19,plain,(
% 0.09/0.54 (![X,Y]: (~sP0_prd(Y,X)|(~big_f(X,Y)&~big_g(X,Y))))&(![X,Y]: (sP0_prd(Y,X)|(big_f(X,Y)|big_g(X,Y))))),
% 0.09/0.54 inference(miniscoping,[status(thm)],[f18])).
% 0.09/0.54 fof(f20,plain,(
% 0.09/0.54 ![X0,X1]: (~sP0_prd(X0,X1)|~big_f(X1,X0))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.54 fof(f23,plain,(
% 0.09/0.54 ![X0,X1]: (sP0_prd(X0,X1)|big_h(X1,sK0_skl(X0)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f7,f13])).
% 0.09/0.54 fof(f24,plain,(
% 0.09/0.54 ![X0]: (sP0_prd(X0,sK2_skl))),
% 0.09/0.54 inference(resolution,[status(thm)],[f23,f17])).
% 0.09/0.54 fof(f27,plain,(
% 0.09/0.54 ![X0]: (~big_f(sK2_skl,X0))),
% 0.09/0.54 inference(resolution,[status(thm)],[f20,f24])).
% 0.09/0.54 fof(f28,plain,(
% 0.09/0.54 $false),
% 0.09/0.54 inference(resolution,[status(thm)],[f27,f7])).
% 0.09/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.55 % Elapsed time: 0.044233 seconds
% 0.09/0.55 % CPU time: 0.109837 seconds
% 0.09/0.55 % Total memory used: 16.588 MB
% 0.09/0.55 % Net memory used: 16.039 MB
%------------------------------------------------------------------------------