%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN334+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 : n014.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 03:19:23 PM UTC 2026
% Result : Theorem 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN334+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:49:49 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f1,conjecture,(
% 0.08/0.39 (? [X,Y] :(! [Z] :( ( big_f(X,Y)=> ( big_f(X,Z)<=> big_g(Y,Z) ) )=> ( ( big_f(X,Y)<=> ( big_f(Z,Z)=> big_g(Z,Z) ) )=> ( big_g(X,Y)<=> big_g(Z,Z) ) ) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f2,negated_conjecture,(
% 0.08/0.39 ~((? [X,Y] :(! [Z] :( ( big_f(X,Y)=> ( big_f(X,Z)<=> big_g(Y,Z) ) )=> ( ( big_f(X,Y)<=> ( big_f(Z,Z)=> big_g(Z,Z) ) )=> ( big_g(X,Y)<=> big_g(Z,Z) ) ) ) )))),
% 0.08/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.39 fof(f3,plain,(
% 0.08/0.39 (![X,Y]: ?[Z]: ((~big_f(X,Y)|(big_f(X,Z)<=>big_g(Y,Z)))&((big_f(X,Y)<=>(~big_f(Z,Z)|big_g(Z,Z)))&(big_g(X,Y)<~>big_g(Z,Z)))))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.39 fof(f4,plain,(
% 0.08/0.39 ![X,Y]: ?[Z]: ((~big_f(X,Y)|((~big_f(X,Z)|big_g(Y,Z))&(big_f(X,Z)|~big_g(Y,Z))))&(((~big_f(X,Y)|(~big_f(Z,Z)|big_g(Z,Z)))&(big_f(X,Y)|(big_f(Z,Z)&~big_g(Z,Z))))&((big_g(X,Y)|big_g(Z,Z))&(~big_g(X,Y)|~big_g(Z,Z)))))),
% 0.08/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.08/0.40 fof(f5,plain,(
% 0.08/0.40 ![X,Y]: ((~big_f(X,Y)|((~big_f(X,sK0_skl(Y,X))|big_g(Y,sK0_skl(Y,X)))&(big_f(X,sK0_skl(Y,X))|~big_g(Y,sK0_skl(Y,X)))))&(((~big_f(X,Y)|(~big_f(sK0_skl(Y,X),sK0_skl(Y,X))|big_g(sK0_skl(Y,X),sK0_skl(Y,X))))&(big_f(X,Y)|(big_f(sK0_skl(Y,X),sK0_skl(Y,X))&~big_g(sK0_skl(Y,X),sK0_skl(Y,X)))))&((big_g(X,Y)|big_g(sK0_skl(Y,X),sK0_skl(Y,X)))&(~big_g(X,Y)|~big_g(sK0_skl(Y,X),sK0_skl(Y,X))))))),
% 0.08/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f4])).
% 0.08/0.40 fof(f6,plain,(
% 0.08/0.40 ![X0,X1]: (~big_f(X0,X1)|~big_f(X0,sK0_skl(X1,X0))|big_g(X1,sK0_skl(X1,X0)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f7,plain,(
% 0.08/0.40 ![X0,X1]: (~big_f(X0,X1)|big_f(X0,sK0_skl(X1,X0))|~big_g(X1,sK0_skl(X1,X0)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f8,plain,(
% 0.08/0.40 ![X0,X1]: (~big_f(X0,X1)|~big_f(sK0_skl(X1,X0),sK0_skl(X1,X0))|big_g(sK0_skl(X1,X0),sK0_skl(X1,X0)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f10,plain,(
% 0.08/0.40 ![X0,X1]: (big_f(X0,X1)|~big_g(sK0_skl(X1,X0),sK0_skl(X1,X0)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f11,plain,(
% 0.08/0.40 ![X0,X1]: (big_g(X0,X1)|big_g(sK0_skl(X1,X0),sK0_skl(X1,X0)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f12,plain,(
% 0.08/0.40 ![X0,X1]: (~big_g(X0,X1)|~big_g(sK0_skl(X1,X0),sK0_skl(X1,X0)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f15,plain,(
% 0.08/0.40 ![X0,X1]: (big_g(X0,X1)|big_f(X0,X1))),
% 0.08/0.40 inference(resolution,[status(thm)],[f11,f10])).
% 0.08/0.40 fof(f16,plain,(
% 0.08/0.40 ![X0,X1]: (~big_f(X0,X1)|big_g(sK0_skl(X1,X0),sK0_skl(X1,X0)))),
% 0.08/0.40 inference(backward_subsumption_resolution,[status(thm)],[f8,f15])).
% 0.08/0.40 fof(f17,plain,(
% 0.08/0.40 ![X0,X1]: (big_g(X0,sK0_skl(X1,X0))|~big_f(X0,X1)|big_g(X1,sK0_skl(X1,X0)))),
% 0.08/0.40 inference(resolution,[status(thm)],[f15,f6])).
% 0.08/0.40 fof(f21,plain,(
% 0.08/0.40 ![X0,X1]: (big_g(X0,sK0_skl(X1,X0))|big_g(X1,sK0_skl(X1,X0))|big_g(X0,X1))),
% 0.08/0.40 inference(resolution,[status(thm)],[f17,f15])).
% 0.08/0.40 fof(f23,plain,(
% 0.08/0.40 ![X0]: (big_g(X0,X0)|~big_f(X0,X0)|big_f(X0,sK0_skl(X0,X0)))),
% 0.08/0.40 inference(resolution,[status(thm)],[f21,f7])).
% 0.08/0.40 fof(f26,plain,(
% 0.08/0.40 ![X0]: (big_g(X0,X0)|big_f(X0,sK0_skl(X0,X0)))),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f23,f15])).
% 0.08/0.40 fof(f27,plain,(
% 0.08/0.40 ![X0]: (big_g(X0,X0)|~big_f(X0,X0)|big_g(X0,sK0_skl(X0,X0)))),
% 0.08/0.40 inference(resolution,[status(thm)],[f26,f6])).
% 0.08/0.40 fof(f29,plain,(
% 0.08/0.40 ![X0]: (big_g(X0,X0)|big_g(sK0_skl(sK0_skl(X0,X0),X0),sK0_skl(sK0_skl(X0,X0),X0)))),
% 0.08/0.40 inference(resolution,[status(thm)],[f26,f16])).
% 0.08/0.40 fof(f30,plain,(
% 0.08/0.40 ![X0]: (big_g(X0,X0)|big_g(X0,sK0_skl(X0,X0)))),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f27,f15])).
% 0.08/0.40 fof(f34,plain,(
% 0.08/0.40 ![X0]: (big_g(X0,X0)|~big_g(X0,sK0_skl(X0,X0)))),
% 0.08/0.40 inference(resolution,[status(thm)],[f29,f12])).
% 0.08/0.40 fof(f36,plain,(
% 0.08/0.40 ![X0]: (big_g(X0,X0))),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f34,f30])).
% 0.08/0.40 fof(f37,plain,(
% 0.08/0.40 ![X0,X1]: (~big_g(X0,X1))),
% 0.08/0.40 inference(backward_subsumption_resolution,[status(thm)],[f12,f36])).
% 0.08/0.40 fof(f45,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(backward_subsumption_resolution,[status(thm)],[f36,f37])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.42 % Elapsed time: 0.044059 seconds
% 0.08/0.42 % CPU time: 0.109327 seconds
% 0.08/0.42 % Total memory used: 16.819 MB
% 0.08/0.42 % Net memory used: 16.348 MB
%------------------------------------------------------------------------------