%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN077+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 : 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 03:18:54 PM UTC 2026
% Result : Theorem 0.08s 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN077+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.35 % Computer : n008.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 10:43:03 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.38 % Refutation found
% 0.08/5.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.38 fof(f1,axiom,(
% 0.08/5.38 (! [Y] :(? [Z] :(! [X] :( big_f(X,Z)<=> X = Y ) )))),
% 0.08/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f2,conjecture,(
% 0.08/5.38 ~ (? [W] :(! [X] :( big_f(X,W)<=> (! [U] :( big_f(X,U)=> (? [Y] :( big_f(Y,U)& ~ (? [Z] :( big_f(Z,U)& big_f(Z,Y) ) )) )) )) ))),
% 0.08/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f3,negated_conjecture,(
% 0.08/5.38 ~(~ (? [W] :(! [X] :( big_f(X,W)<=> (! [U] :( big_f(X,U)=> (? [Y] :( big_f(Y,U)& ~ (? [Z] :( big_f(Z,U)& big_f(Z,Y) ) )) )) )) )))),
% 0.08/5.38 inference(negated_conjecture,[status(cth)],[f2])).
% 0.08/5.38 fof(f4,plain,(
% 0.08/5.38 ![Y]: ?[Z]: ![X]: ((~big_f(X,Z)|X=Y)&(big_f(X,Z)|~X=Y))),
% 0.08/5.38 inference(NNF_transformation,[status(thm)],[f1])).
% 0.08/5.38 fof(f5,plain,(
% 0.08/5.38 ![Y]: ?[Z]: ((![X]: (~big_f(X,Z)|X=Y))&(![X]: (big_f(X,Z)|~X=Y)))),
% 0.08/5.38 inference(miniscoping,[status(thm)],[f4])).
% 0.08/5.38 fof(f6,plain,(
% 0.08/5.38 ![Y]: ((![X]: (~big_f(X,sK0_skl(Y))|X=Y))&(![X]: (big_f(X,sK0_skl(Y))|~X=Y)))),
% 0.08/5.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y))],[f5])).
% 0.08/5.38 fof(f7,plain,(
% 0.08/5.38 ![X0,X1]: (~big_f(X0,sK0_skl(X1))|X0=X1)),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/5.38 fof(f8,plain,(
% 0.08/5.38 ![X0,X1]: (big_f(X0,sK0_skl(X1))|~X0=X1)),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/5.38 fof(f9,plain,(
% 0.08/5.38 ?[W]: (![X]: (big_f(X,W)<=>(![U]: (~big_f(X,U)|(?[Y]: (big_f(Y,U)&(![Z]: (~big_f(Z,U)|~big_f(Z,Y)))))))))),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.08/5.38 fof(f10,plain,(
% 0.08/5.38 ?[W]: ![X]: ((~big_f(X,W)|(![U]: (~big_f(X,U)|(?[Y]: (big_f(Y,U)&(![Z]: (~big_f(Z,U)|~big_f(Z,Y))))))))&(big_f(X,W)|(?[U]: (big_f(X,U)&(![Y]: (~big_f(Y,U)|(?[Z]: (big_f(Z,U)&big_f(Z,Y)))))))))),
% 0.08/5.38 inference(NNF_transformation,[status(thm)],[f9])).
% 0.08/5.38 fof(f11,plain,(
% 0.08/5.38 ?[W]: ((![X]: (~big_f(X,W)|(![U]: (~big_f(X,U)|(?[Y]: (big_f(Y,U)&(![Z]: (~big_f(Z,U)|~big_f(Z,Y)))))))))&(![X]: (big_f(X,W)|(?[U]: (big_f(X,U)&(![Y]: (~big_f(Y,U)|(?[Z]: (big_f(Z,U)&big_f(Z,Y))))))))))),
% 0.08/5.38 inference(miniscoping,[status(thm)],[f10])).
% 0.08/5.38 fof(f12,plain,(
% 0.08/5.38 ((![X]: (~big_f(X,sK1_skl)|(![U]: (~big_f(X,U)|(big_f(sK2_skl(U,X),U)&(![Z]: (~big_f(Z,U)|~big_f(Z,sK2_skl(U,X)))))))))&(![X]: (big_f(X,sK1_skl)|(big_f(X,sK3_skl(X))&(![Y]: (~big_f(Y,sK3_skl(X))|(big_f(sK4_skl(Y,X),sK3_skl(X))&big_f(sK4_skl(Y,X),Y))))))))),
% 0.08/5.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(W,sK1_skl),skolemize(Y,sK2_skl(U,X)),skolemize(U,sK3_skl(X)),skolemize(Z,sK4_skl(Y,X))],[f11])).
% 0.08/5.38 fof(f13,plain,(
% 0.08/5.38 ![X0,X1]: (~big_f(X0,sK1_skl)|~big_f(X0,X1)|big_f(sK2_skl(X1,X0),X1))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.38 fof(f14,plain,(
% 0.08/5.38 ![X0,X1,X2]: (~big_f(X0,sK1_skl)|~big_f(X0,X1)|~big_f(X2,X1)|~big_f(X2,sK2_skl(X1,X0)))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.38 fof(f15,plain,(
% 0.08/5.38 ![X0]: (big_f(X0,sK1_skl)|big_f(X0,sK3_skl(X0)))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.38 fof(f16,plain,(
% 0.08/5.38 ![X0,X1]: (big_f(X0,sK1_skl)|~big_f(X1,sK3_skl(X0))|big_f(sK4_skl(X1,X0),sK3_skl(X0)))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.38 fof(f17,plain,(
% 0.08/5.38 ![X0,X1]: (big_f(X0,sK1_skl)|~big_f(X1,sK3_skl(X0))|big_f(sK4_skl(X1,X0),X1))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/5.38 fof(f18,plain,(
% 0.08/5.38 ![X0]: (big_f(X0,sK0_skl(X0)))),
% 0.08/5.38 inference(destructive_equality_resolution,[status(thm)],[f8])).
% 0.08/5.38 fof(f19,plain,(
% 0.08/5.38 ![X0,X1]: (big_f(X0,sK1_skl)|~big_f(sK1_skl,sK3_skl(X0))|~big_f(sK4_skl(sK1_skl,X0),X1)|big_f(sK2_skl(X1,sK4_skl(sK1_skl,X0)),X1))),
% 0.08/5.38 inference(resolution,[status(thm)],[f17,f13])).
% 0.08/5.38 fof(f20,plain,(
% 0.08/5.38 ![X0,X1,X2]: (~big_f(sK4_skl(sK1_skl,X0),X1)|~big_f(X2,X1)|~big_f(X2,sK2_skl(X1,sK4_skl(sK1_skl,X0)))|big_f(X0,sK1_skl)|~big_f(sK1_skl,sK3_skl(X0)))),
% 0.08/5.38 inference(resolution,[status(thm)],[f14,f17])).
% 0.08/5.38 fof(f21,plain,(
% 0.08/5.38 ![X0]: (big_f(sK1_skl,sK1_skl)|~big_f(sK4_skl(sK1_skl,sK1_skl),X0)|big_f(sK2_skl(X0,sK4_skl(sK1_skl,sK1_skl)),X0)|big_f(sK1_skl,sK1_skl))),
% 0.08/5.38 inference(resolution,[status(thm)],[f19,f15])).
% 0.08/5.38 fof(f22,plain,(
% 0.08/5.38 ![X0]: (big_f(sK1_skl,sK1_skl)|~big_f(sK4_skl(sK1_skl,sK1_skl),X0)|big_f(sK2_skl(X0,sK4_skl(sK1_skl,sK1_skl)),X0))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f21])).
% 0.08/5.39 fof(f25,plain,(
% 0.08/5.39 ![X0,X1]: (~big_f(sK4_skl(sK1_skl,sK1_skl),X0)|~big_f(X1,X0)|~big_f(X1,sK2_skl(X0,sK4_skl(sK1_skl,sK1_skl)))|big_f(sK1_skl,sK1_skl)|big_f(sK1_skl,sK1_skl))),
% 0.08/5.39 inference(resolution,[status(thm)],[f20,f15])).
% 0.08/5.39 fof(f26,plain,(
% 0.08/5.39 ![X0,X1]: (~big_f(sK4_skl(sK1_skl,sK1_skl),X0)|~big_f(X1,X0)|~big_f(X1,sK2_skl(X0,sK4_skl(sK1_skl,sK1_skl)))|big_f(sK1_skl,sK1_skl))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f25])).
% 0.08/5.39 fof(f28,plain,(
% 0.08/5.39 ![X0,X1]: (~big_f(sK4_skl(sK1_skl,sK1_skl),X0)|~big_f(sK4_skl(sK2_skl(X0,sK4_skl(sK1_skl,sK1_skl)),X1),X0)|big_f(sK1_skl,sK1_skl)|big_f(X1,sK1_skl)|~big_f(sK2_skl(X0,sK4_skl(sK1_skl,sK1_skl)),sK3_skl(X1)))),
% 0.08/5.39 inference(resolution,[status(thm)],[f26,f17])).
% 0.08/5.39 fof(f70,plain,(
% 0.08/5.39 ![X0]: (~big_f(sK4_skl(sK1_skl,sK1_skl),sK3_skl(X0))|big_f(sK1_skl,sK1_skl)|big_f(X0,sK1_skl)|~big_f(sK2_skl(sK3_skl(X0),sK4_skl(sK1_skl,sK1_skl)),sK3_skl(X0))|big_f(X0,sK1_skl)|~big_f(sK2_skl(sK3_skl(X0),sK4_skl(sK1_skl,sK1_skl)),sK3_skl(X0)))),
% 0.08/5.39 inference(resolution,[status(thm)],[f28,f16])).
% 0.08/5.39 fof(f71,plain,(
% 0.08/5.39 ![X0]: (~big_f(sK4_skl(sK1_skl,sK1_skl),sK3_skl(X0))|big_f(sK1_skl,sK1_skl)|big_f(X0,sK1_skl)|~big_f(sK2_skl(sK3_skl(X0),sK4_skl(sK1_skl,sK1_skl)),sK3_skl(X0)))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f70])).
% 0.08/5.39 fof(f72,plain,(
% 0.08/5.39 ![X0]: (~big_f(sK4_skl(sK1_skl,sK1_skl),sK3_skl(X0))|big_f(sK1_skl,sK1_skl)|big_f(X0,sK1_skl))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f71,f22])).
% 0.08/5.39 fof(f80,plain,(
% 0.08/5.39 big_f(sK1_skl,sK1_skl)|big_f(sK1_skl,sK1_skl)|big_f(sK1_skl,sK1_skl)|~big_f(sK1_skl,sK3_skl(sK1_skl))),
% 0.08/5.39 inference(resolution,[status(thm)],[f72,f16])).
% 0.08/5.39 fof(f82,plain,(
% 0.08/5.39 big_f(sK1_skl,sK1_skl)|~big_f(sK1_skl,sK3_skl(sK1_skl))),
% 0.08/5.39 inference(duplicate_literals_removal,[status(thm)],[f80])).
% 0.08/5.39 fof(f83,plain,(
% 0.08/5.39 big_f(sK1_skl,sK1_skl)),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f82,f15])).
% 0.08/5.39 fof(f85,plain,(
% 0.08/5.39 ![X0,X1]: (~big_f(sK1_skl,X0)|~big_f(X1,X0)|~big_f(X1,sK2_skl(X0,sK1_skl)))),
% 0.08/5.39 inference(resolution,[status(thm)],[f83,f14])).
% 0.08/5.39 fof(f86,plain,(
% 0.08/5.39 ![X0]: (~big_f(sK1_skl,X0)|big_f(sK2_skl(X0,sK1_skl),X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f83,f13])).
% 0.08/5.39 fof(f88,plain,(
% 0.08/5.39 big_f(sK2_skl(sK0_skl(sK1_skl),sK1_skl),sK0_skl(sK1_skl))),
% 0.08/5.39 inference(resolution,[status(thm)],[f86,f18])).
% 0.08/5.39 fof(f93,plain,(
% 0.08/5.39 sK2_skl(sK0_skl(sK1_skl),sK1_skl)=sK1_skl),
% 0.08/5.39 inference(resolution,[status(thm)],[f88,f7])).
% 0.08/5.39 fof(f96,plain,(
% 0.08/5.39 ![X0]: (~big_f(sK1_skl,sK0_skl(sK1_skl))|~big_f(X0,sK0_skl(sK1_skl))|~big_f(X0,sK1_skl))),
% 0.08/5.39 inference(paramodulation,[status(thm)],[f93,f85])).
% 0.08/5.39 fof(f97,plain,(
% 0.08/5.39 ![X0]: (~big_f(X0,sK0_skl(sK1_skl))|~big_f(X0,sK1_skl))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f96,f18])).
% 0.08/5.39 fof(f99,plain,(
% 0.08/5.39 ~big_f(sK1_skl,sK1_skl)),
% 0.08/5.39 inference(resolution,[status(thm)],[f97,f18])).
% 0.08/5.39 fof(f100,plain,(
% 0.08/5.39 $false),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f99,f83])).
% 0.08/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.41 % Elapsed time: 0.044730 seconds
% 0.13/5.41 % CPU time: 0.144060 seconds
% 0.13/5.41 % Total memory used: 46.254 MB
% 0.13/5.41 % Net memory used: 45.917 MB
%------------------------------------------------------------------------------