%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN328+1 : TPTP v9.3.1. Released v2.0.0.
% 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 03:19:22 PM UTC 2026
% Result : Theorem 0.15s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN328+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n015.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 10:52:51 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.15/0.43 % Refutation found
% 0.15/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.43 fof(f1,conjecture,(
% 0.15/0.43 (? [X] :(! [Y,Z] :( ( ( big_f(Y)=> big_g(Y) )<=> big_f(X) )=> ( ( ( big_f(Y)=> big_h(Y) )<=> big_g(X) )=> ( ( ( ( big_f(Y)=> big_g(Y) )=> big_h(Y) )<=> big_h(X) )=> ( big_f(Z)& big_g(Z)& big_h(Z) ) ) ) ) ))),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f2,negated_conjecture,(
% 0.15/0.43 ~((? [X] :(! [Y,Z] :( ( ( big_f(Y)=> big_g(Y) )<=> big_f(X) )=> ( ( ( big_f(Y)=> big_h(Y) )<=> big_g(X) )=> ( ( ( ( big_f(Y)=> big_g(Y) )=> big_h(Y) )<=> big_h(X) )=> ( big_f(Z)& big_g(Z)& big_h(Z) ) ) ) ) )))),
% 0.15/0.43 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.43 fof(f3,plain,(
% 0.15/0.43 (![X]: ?[Y,Z]: (((~big_f(Y)|big_g(Y))<=>big_f(X))&(((~big_f(Y)|big_h(Y))<=>big_g(X))&((((big_f(Y)&~big_g(Y))|big_h(Y))<=>big_h(X))&((~big_f(Z)|~big_g(Z))|~big_h(Z))))))),
% 0.15/0.43 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.15/0.43 fof(f4,plain,(
% 0.15/0.43 ![X]: ?[Y,Z]: ((((big_f(Y)&~big_g(Y))|big_f(X))&((~big_f(Y)|big_g(Y))|~big_f(X)))&((((big_f(Y)&~big_h(Y))|big_g(X))&((~big_f(Y)|big_h(Y))|~big_g(X)))&(((((~big_f(Y)|big_g(Y))&~big_h(Y))|big_h(X))&(((big_f(Y)&~big_g(Y))|big_h(Y))|~big_h(X)))&((~big_f(Z)|~big_g(Z))|~big_h(Z)))))),
% 0.15/0.43 inference(NNF_transformation,[status(thm)],[f3])).
% 0.15/0.43 fof(f5,plain,(
% 0.15/0.43 ![X]: ?[Y]: ((((big_f(Y)&~big_g(Y))|big_f(X))&((~big_f(Y)|big_g(Y))|~big_f(X)))&((((big_f(Y)&~big_h(Y))|big_g(X))&((~big_f(Y)|big_h(Y))|~big_g(X)))&(((((~big_f(Y)|big_g(Y))&~big_h(Y))|big_h(X))&(((big_f(Y)&~big_g(Y))|big_h(Y))|~big_h(X)))&(((?[Z]: ~big_f(Z))|(?[Z]: ~big_g(Z)))|(?[Z]: ~big_h(Z))))))),
% 0.15/0.43 inference(miniscoping,[status(thm)],[f4])).
% 0.15/0.43 fof(f6,plain,(
% 0.15/0.43 ![X]: ((((big_f(sK0_skl(X))&~big_g(sK0_skl(X)))|big_f(X))&((~big_f(sK0_skl(X))|big_g(sK0_skl(X)))|~big_f(X)))&((((big_f(sK0_skl(X))&~big_h(sK0_skl(X)))|big_g(X))&((~big_f(sK0_skl(X))|big_h(sK0_skl(X)))|~big_g(X)))&(((((~big_f(sK0_skl(X))|big_g(sK0_skl(X)))&~big_h(sK0_skl(X)))|big_h(X))&(((big_f(sK0_skl(X))&~big_g(sK0_skl(X)))|big_h(sK0_skl(X)))|~big_h(X)))&((~big_f(sK1_skl(X))|~big_g(sK2_skl(X)))|~big_h(sK3_skl(X))))))),
% 0.15/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(Z,sK2_skl(X)),skolemize(Z,sK3_skl(X))],[f5])).
% 0.15/0.43 fof(f7,plain,(
% 0.15/0.43 ![X0]: (big_f(sK0_skl(X0))|big_f(X0))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f8,plain,(
% 0.15/0.43 ![X0]: (~big_g(sK0_skl(X0))|big_f(X0))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f9,plain,(
% 0.15/0.43 ![X0]: (~big_f(sK0_skl(X0))|big_g(sK0_skl(X0))|~big_f(X0))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f10,plain,(
% 0.15/0.43 ![X0]: (big_f(sK0_skl(X0))|big_g(X0))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f11,plain,(
% 0.15/0.43 ![X0]: (~big_h(sK0_skl(X0))|big_g(X0))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f12,plain,(
% 0.15/0.43 ![X0]: (~big_f(sK0_skl(X0))|big_h(sK0_skl(X0))|~big_g(X0))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f13,plain,(
% 0.15/0.43 ![X0]: (~big_f(sK0_skl(X0))|big_g(sK0_skl(X0))|big_h(X0))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f14,plain,(
% 0.15/0.43 ![X0]: (~big_h(sK0_skl(X0))|big_h(X0))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f17,plain,(
% 0.15/0.43 ![X0]: (~big_f(sK1_skl(X0))|~big_g(sK2_skl(X0))|~big_h(sK3_skl(X0)))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f20,plain,(
% 0.15/0.43 ![X0]: (~big_f(sK0_skl(X0))|big_h(X0)|big_f(X0))),
% 0.15/0.43 inference(resolution,[status(thm)],[f13,f8])).
% 0.15/0.43 fof(f22,plain,(
% 0.15/0.43 ![X0]: (big_h(X0)|big_f(X0))),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f20,f7])).
% 0.15/0.43 fof(f23,plain,(
% 0.15/0.43 ![X0]: (big_h(sK0_skl(X0))|~big_g(X0))),
% 0.15/0.43 inference(backward_subsumption_resolution,[status(thm)],[f12,f22])).
% 0.15/0.43 fof(f24,plain,(
% 0.15/0.43 ![X0]: (big_f(sK0_skl(X0))|big_h(X0))),
% 0.15/0.43 inference(resolution,[status(thm)],[f22,f14])).
% 0.15/0.43 fof(f26,plain,(
% 0.15/0.43 ![X0]: (~big_g(X0)|big_h(X0))),
% 0.15/0.43 inference(resolution,[status(thm)],[f23,f14])).
% 0.15/0.43 fof(f30,plain,(
% 0.15/0.43 ![X0]: (~big_g(sK0_skl(X0))|big_h(X0))),
% 0.15/0.43 inference(resolution,[status(thm)],[f26,f14])).
% 0.15/0.43 fof(f31,plain,(
% 0.15/0.47 ![X0]: (~big_g(sK0_skl(X0))|big_g(X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f26,f11])).
% 0.15/0.47 fof(f35,plain,(
% 0.15/0.47 ![X0]: (big_g(X0)|~big_f(sK0_skl(X0))|~big_f(X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f31,f9])).
% 0.15/0.47 fof(f36,plain,(
% 0.15/0.47 ![X0]: (big_g(X0)|~big_f(X0))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f35,f10])).
% 0.15/0.47 fof(f37,plain,(
% 0.15/0.47 ![X0]: (~big_f(sK0_skl(X0))|big_g(X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f36,f31])).
% 0.15/0.47 fof(f38,plain,(
% 0.15/0.47 ![X0]: (~big_f(sK0_skl(X0))|big_h(X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f36,f30])).
% 0.15/0.47 fof(f39,plain,(
% 0.15/0.47 ![X0]: (~big_f(sK0_skl(X0))|big_f(X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f36,f8])).
% 0.15/0.47 fof(f40,plain,(
% 0.15/0.47 ![X0]: (big_g(X0))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f37,f10])).
% 0.15/0.47 fof(f41,plain,(
% 0.15/0.47 ![X0]: (big_h(X0))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f38,f24])).
% 0.15/0.47 fof(f42,plain,(
% 0.15/0.47 ![X0]: (big_f(X0))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f39,f7])).
% 0.15/0.47 fof(f47,plain,(
% 0.15/0.47 ![X0]: (~big_g(sK2_skl(X0))|~big_h(sK3_skl(X0)))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f17,f42])).
% 0.15/0.47 fof(f48,plain,(
% 0.15/0.47 ![X0]: (~big_g(sK2_skl(X0)))),
% 0.15/0.47 inference(resolution,[status(thm)],[f47,f41])).
% 0.15/0.47 fof(f49,plain,(
% 0.15/0.47 $false),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f48,f40])).
% 0.15/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.51 % Elapsed time: 0.075669 seconds
% 0.15/0.51 % CPU time: 0.058571 seconds
% 0.15/0.51 % Total memory used: 538.400 KB
% 0.15/0.51 % Net memory used: 530.288 KB
%------------------------------------------------------------------------------