%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN326+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 : 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 03:19:21 PM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN326+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n009.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 10:49:12 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,conjecture,(
% 0.12/0.37 (? [X] :(! [Y,Z] :( ( ( big_f(Y,Z)=> ( big_g(Y)=> big_h(X) ) )=> big_f(X,X) )=> ( ( ( big_f(Z,X)=> big_g(X) )=> big_h(Z) )=> ( big_f(X,Y)=> big_f(Z,Z) ) ) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,negated_conjecture,(
% 0.12/0.37 ~((? [X] :(! [Y,Z] :( ( ( big_f(Y,Z)=> ( big_g(Y)=> big_h(X) ) )=> big_f(X,X) )=> ( ( ( big_f(Z,X)=> big_g(X) )=> big_h(Z) )=> ( big_f(X,Y)=> big_f(Z,Z) ) ) ) )))),
% 0.12/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.37 fof(f3,plain,(
% 0.12/0.37 (![X]: ?[Y,Z]: (((big_f(Y,Z)&(big_g(Y)&~big_h(X)))|big_f(X,X))&(((big_f(Z,X)&~big_g(X))|big_h(Z))&(big_f(X,Y)&~big_f(Z,Z)))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f4,plain,(
% 0.12/0.37 ![X]: (((big_f(sK0_skl(X),sK1_skl(X))&(big_g(sK0_skl(X))&~big_h(X)))|big_f(X,X))&(((big_f(sK1_skl(X),X)&~big_g(X))|big_h(sK1_skl(X)))&(big_f(X,sK0_skl(X))&~big_f(sK1_skl(X),sK1_skl(X)))))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X))],[f3])).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ![X0]: (big_g(sK0_skl(X0))|big_f(X0,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f7,plain,(
% 0.12/0.37 ![X0]: (~big_h(X0)|big_f(X0,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 ![X0]: (~big_g(X0)|big_h(sK1_skl(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![X0]: (~big_f(sK1_skl(X0),sK1_skl(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f13,plain,(
% 0.12/0.37 ![X0]: (big_g(sK0_skl(sK1_skl(X0))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f6,f11])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ![X0]: (big_h(sK1_skl(sK0_skl(sK1_skl(X0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f13,f9])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![X0]: (big_f(sK1_skl(sK0_skl(sK1_skl(X0))),sK1_skl(sK0_skl(sK1_skl(X0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f14,f7])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f15,f11])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.031624 seconds
% 0.12/0.38 % CPU time: 0.080277 seconds
% 0.12/0.38 % Total memory used: 10.339 MB
% 0.12/0.38 % Net memory used: 10.007 MB
%------------------------------------------------------------------------------