%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN074+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 : n002.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 03:18:53 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN074+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
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:44:50 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (? [Z,W] :(! [X,Y] :( big_f(X,Y)<=> ( X = Z& Y = W ) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,conjecture,(
% 0.13/0.39 (? [Z] :(! [X] :( (? [W] :(! [Y] :( big_f(X,Y)<=> Y = W )))<=> X = Z ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,negated_conjecture,(
% 0.13/0.39 ~((? [Z] :(! [X] :( (? [W] :(! [Y] :( big_f(X,Y)<=> Y = W )))<=> X = Z ) )))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f2])).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 ?[Z,W]: ![X,Y]: ((~big_f(X,Y)|(X=Z&Y=W))&(big_f(X,Y)|(~X=Z|~Y=W)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 ?[Z,W]: ((![X,Y]: (~big_f(X,Y)|(X=Z&Y=W)))&(![X,Y]: (big_f(X,Y)|(~X=Z|~Y=W))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ((![X,Y]: (~big_f(X,Y)|(X=sK0_skl&Y=sK1_skl)))&(![X,Y]: (big_f(X,Y)|(~X=sK0_skl|~Y=sK1_skl))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Z,sK0_skl),skolemize(W,sK1_skl)],[f5])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(X0,X1)|X0=sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(X0,X1)|X1=sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(X0,X1)|~X0=sK0_skl|~X1=sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 (![Z]: ?[X]: ((?[W]: ![Y]: (big_f(X,Y)<=>Y=W))<~>X=Z))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![Z]: ?[X]: (((?[W]: ![Y]: ((~big_f(X,Y)|Y=W)&(big_f(X,Y)|~Y=W)))|X=Z)&((![W]: ?[Y]: ((~big_f(X,Y)|~Y=W)&(big_f(X,Y)|Y=W)))|~X=Z))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![Z]: ?[X]: (((?[W]: ((![Y]: (~big_f(X,Y)|Y=W))&(![Y]: (big_f(X,Y)|~Y=W))))|X=Z)&((![W]: ?[Y]: ((~big_f(X,Y)|~Y=W)&(big_f(X,Y)|Y=W)))|~X=Z))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![Z]: ((((![Y]: (~big_f(sK2_skl(Z),Y)|Y=sK3_skl(Z)))&(![Y]: (big_f(sK2_skl(Z),Y)|~Y=sK3_skl(Z))))|sK2_skl(Z)=Z)&((![W]: ((~big_f(sK2_skl(Z),sK4_skl(W,Z))|~sK4_skl(W,Z)=W)&(big_f(sK2_skl(Z),sK4_skl(W,Z))|sK4_skl(W,Z)=W)))|~sK2_skl(Z)=Z))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK2_skl(Z)),skolemize(W,sK3_skl(Z)),skolemize(Y,sK4_skl(W,Z))],[f12])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(sK2_skl(X0),X1)|~X1=sK3_skl(X0)|sK2_skl(X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(sK2_skl(X0),sK4_skl(X1,X0))|~sK4_skl(X1,X0)=X1|~sK2_skl(X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(sK2_skl(X0),sK4_skl(X1,X0))|sK4_skl(X1,X0)=X1|~sK2_skl(X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 big_f(sK0_skl,sK1_skl)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f9])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ![X0]: (big_f(sK2_skl(X0),sK3_skl(X0))|sK2_skl(X0)=X0)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f15])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![X0]: (sK2_skl(X0)=sK0_skl|sK2_skl(X0)=X0)),
% 0.13/0.39 inference(resolution,[status(thm)],[f7,f19])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![X0]: (big_f(sK2_skl(sK0_skl),sK4_skl(X0,sK0_skl))|sK4_skl(X0,sK0_skl)=X0)),
% 0.13/0.39 inference(resolution,[status(thm)],[f22,f17])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0]: (~sK0_skl=X0|sK2_skl(X0)=X0)),
% 0.13/0.39 inference(equality_factoring,[status(thm)],[f22])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 sK2_skl(sK0_skl)=sK0_skl),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f30])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 ![X0]: (big_f(sK0_skl,sK4_skl(X0,sK0_skl))|sK4_skl(X0,sK0_skl)=X0)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f37,f23])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 ![X0]: (sK4_skl(X0,sK0_skl)=X0|sK4_skl(X0,sK0_skl)=sK1_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f42,f8])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 ![X0]: (~X0=sK1_skl|sK4_skl(X0,sK0_skl)=sK1_skl)),
% 0.13/0.39 inference(equality_factoring,[status(thm)],[f67])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 sK4_skl(sK1_skl,sK0_skl)=sK1_skl),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f81])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 ~big_f(sK2_skl(sK0_skl),sK1_skl)|~sK4_skl(sK1_skl,sK0_skl)=sK1_skl|~sK2_skl(sK0_skl)=sK0_skl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f86,f16])).
% 0.13/0.39 fof(f93,plain,(
% 0.13/0.39 ~big_f(sK0_skl,sK1_skl)|~sK4_skl(sK1_skl,sK0_skl)=sK1_skl|~sK2_skl(sK0_skl)=sK0_skl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f37,f92])).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 ~big_f(sK0_skl,sK1_skl)|~sK1_skl=sK1_skl|~sK2_skl(sK0_skl)=sK0_skl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f86,f93])).
% 0.13/0.39 fof(f95,plain,(
% 0.13/0.39 ~big_f(sK0_skl,sK1_skl)|~sK1_skl=sK1_skl|~sK0_skl=sK0_skl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f37,f94])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 ~big_f(sK0_skl,sK1_skl)),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f95])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f96,f18])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.052086 seconds
% 0.13/0.43 % CPU time: 0.150394 seconds
% 0.13/0.43 % Total memory used: 79.995 MB
% 0.13/0.43 % Net memory used: 79.457 MB
%------------------------------------------------------------------------------