%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN075+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 : n018.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 0.20s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN075+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n018.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 10:44:16 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.49 fof(f1,axiom,(
% 0.20/0.49 (? [Z,W] :(! [X,Y] :( big_f(X,Y)<=> ( X = Z& Y = W ) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f2,conjecture,(
% 0.20/0.49 (? [W] :(! [Y] :( (? [Z] :(! [X] :( big_f(X,Y)<=> X = Z )))<=> Y = W ) ))),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f3,negated_conjecture,(
% 0.20/0.49 ~((? [W] :(! [Y] :( (? [Z] :(! [X] :( big_f(X,Y)<=> X = Z )))<=> Y = W ) )))),
% 0.20/0.49 inference(negated_conjecture,[status(cth)],[f2])).
% 0.20/0.49 fof(f4,plain,(
% 0.20/0.49 ?[Z,W]: ![X,Y]: ((~big_f(X,Y)|(X=Z&Y=W))&(big_f(X,Y)|(~X=Z|~Y=W)))),
% 0.20/0.49 inference(NNF_transformation,[status(thm)],[f1])).
% 0.20/0.49 fof(f5,plain,(
% 0.20/0.49 ?[Z,W]: ((![X,Y]: (~big_f(X,Y)|(X=Z&Y=W)))&(![X,Y]: (big_f(X,Y)|(~X=Z|~Y=W))))),
% 0.20/0.49 inference(miniscoping,[status(thm)],[f4])).
% 0.20/0.49 fof(f6,plain,(
% 0.20/0.49 ((![X,Y]: (~big_f(X,Y)|(X=sK0_skl&Y=sK1_skl)))&(![X,Y]: (big_f(X,Y)|(~X=sK0_skl|~Y=sK1_skl))))),
% 0.20/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Z,sK0_skl),skolemize(W,sK1_skl)],[f5])).
% 0.20/0.49 fof(f7,plain,(
% 0.20/0.49 ![X0,X1]: (~big_f(X0,X1)|X0=sK0_skl)),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.20/0.49 fof(f8,plain,(
% 0.20/0.49 ![X0,X1]: (~big_f(X0,X1)|X1=sK1_skl)),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.20/0.49 fof(f9,plain,(
% 0.20/0.49 ![X0,X1]: (big_f(X0,X1)|~X0=sK0_skl|~X1=sK1_skl)),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.20/0.49 fof(f10,plain,(
% 0.20/0.49 (![W]: ?[Y]: ((?[Z]: ![X]: (big_f(X,Y)<=>X=Z))<~>Y=W))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.20/0.49 fof(f11,plain,(
% 0.20/0.49 ![W]: ?[Y]: (((?[Z]: ![X]: ((~big_f(X,Y)|X=Z)&(big_f(X,Y)|~X=Z)))|Y=W)&((![Z]: ?[X]: ((~big_f(X,Y)|~X=Z)&(big_f(X,Y)|X=Z)))|~Y=W))),
% 0.20/0.49 inference(NNF_transformation,[status(thm)],[f10])).
% 0.20/0.49 fof(f12,plain,(
% 0.20/0.49 ![W]: ?[Y]: (((?[Z]: ((![X]: (~big_f(X,Y)|X=Z))&(![X]: (big_f(X,Y)|~X=Z))))|Y=W)&((![Z]: ?[X]: ((~big_f(X,Y)|~X=Z)&(big_f(X,Y)|X=Z)))|~Y=W))),
% 0.20/0.49 inference(miniscoping,[status(thm)],[f11])).
% 0.20/0.49 fof(f13,plain,(
% 0.20/0.49 ![W]: ((((![X]: (~big_f(X,sK2_skl(W))|X=sK3_skl(W)))&(![X]: (big_f(X,sK2_skl(W))|~X=sK3_skl(W))))|sK2_skl(W)=W)&((![Z]: ((~big_f(sK4_skl(Z,W),sK2_skl(W))|~sK4_skl(Z,W)=Z)&(big_f(sK4_skl(Z,W),sK2_skl(W))|sK4_skl(Z,W)=Z)))|~sK2_skl(W)=W))),
% 0.20/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(Y,sK2_skl(W)),skolemize(Z,sK3_skl(W)),skolemize(X,sK4_skl(Z,W))],[f12])).
% 0.20/0.49 fof(f15,plain,(
% 0.20/0.49 ![X0,X1]: (big_f(X0,sK2_skl(X1))|~X0=sK3_skl(X1)|sK2_skl(X1)=X1)),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f13])).
% 0.20/0.49 fof(f16,plain,(
% 0.20/0.49 ![X0,X1]: (~big_f(sK4_skl(X0,X1),sK2_skl(X1))|~sK4_skl(X0,X1)=X0|~sK2_skl(X1)=X1)),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f13])).
% 0.20/0.49 fof(f17,plain,(
% 0.20/0.49 ![X0,X1]: (big_f(sK4_skl(X0,X1),sK2_skl(X1))|sK4_skl(X0,X1)=X0|~sK2_skl(X1)=X1)),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f13])).
% 0.20/0.49 fof(f18,plain,(
% 0.20/0.49 big_f(sK0_skl,sK1_skl)),
% 0.20/0.49 inference(destructive_equality_resolution,[status(thm)],[f9])).
% 0.20/0.49 fof(f19,plain,(
% 0.20/0.49 ![X0]: (big_f(sK3_skl(X0),sK2_skl(X0))|sK2_skl(X0)=X0)),
% 0.20/0.49 inference(destructive_equality_resolution,[status(thm)],[f15])).
% 0.20/0.49 fof(f22,plain,(
% 0.20/0.49 ![X0]: (sK3_skl(X0)=sK0_skl|sK2_skl(X0)=X0)),
% 0.20/0.49 inference(resolution,[status(thm)],[f7,f19])).
% 0.20/0.49 fof(f23,plain,(
% 0.20/0.49 ![X0]: (big_f(sK0_skl,sK2_skl(X0))|sK2_skl(X0)=X0|sK2_skl(X0)=X0)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f22,f19])).
% 0.20/0.49 fof(f24,plain,(
% 0.20/0.49 ![X0]: (big_f(sK0_skl,sK2_skl(X0))|sK2_skl(X0)=X0)),
% 0.20/0.49 inference(duplicate_literals_removal,[status(thm)],[f23])).
% 0.20/0.49 fof(f28,plain,(
% 0.20/0.49 ![X0]: (sK2_skl(X0)=sK1_skl|sK2_skl(X0)=X0)),
% 0.20/0.49 inference(resolution,[status(thm)],[f8,f24])).
% 0.20/0.49 fof(f31,plain,(
% 0.20/0.49 ![X0]: (big_f(sK4_skl(X0,sK1_skl),sK2_skl(sK1_skl))|sK4_skl(X0,sK1_skl)=X0)),
% 0.20/0.49 inference(resolution,[status(thm)],[f28,f17])).
% 0.20/0.49 fof(f39,plain,(
% 0.20/0.49 ![X0]: (~sK1_skl=X0|sK2_skl(X0)=X0)),
% 0.20/0.49 inference(equality_factoring,[status(thm)],[f28])).
% 0.20/0.49 fof(f47,plain,(
% 0.20/0.49 sK2_skl(sK1_skl)=sK1_skl),
% 0.20/0.49 inference(destructive_equality_resolution,[status(thm)],[f39])).
% 0.20/0.49 fof(f61,plain,(
% 0.20/0.49 ![X0]: (big_f(sK4_skl(X0,sK1_skl),sK1_skl)|sK4_skl(X0,sK1_skl)=X0)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f47,f31])).
% 0.20/0.50 fof(f63,plain,(
% 0.20/0.50 ![X0]: (sK4_skl(X0,sK1_skl)=X0|sK4_skl(X0,sK1_skl)=sK0_skl)),
% 0.20/0.50 inference(resolution,[status(thm)],[f61,f7])).
% 0.20/0.50 fof(f78,plain,(
% 0.20/0.50 ![X0]: (~X0=sK0_skl|sK4_skl(X0,sK1_skl)=sK0_skl)),
% 0.20/0.50 inference(equality_factoring,[status(thm)],[f63])).
% 0.20/0.50 fof(f83,plain,(
% 0.20/0.50 sK4_skl(sK0_skl,sK1_skl)=sK0_skl),
% 0.20/0.50 inference(destructive_equality_resolution,[status(thm)],[f78])).
% 0.20/0.50 fof(f89,plain,(
% 0.20/0.50 ~big_f(sK0_skl,sK2_skl(sK1_skl))|~sK4_skl(sK0_skl,sK1_skl)=sK0_skl|~sK2_skl(sK1_skl)=sK1_skl),
% 0.20/0.50 inference(paramodulation,[status(thm)],[f83,f16])).
% 0.20/0.50 fof(f90,plain,(
% 0.20/0.50 ~big_f(sK0_skl,sK1_skl)|~sK4_skl(sK0_skl,sK1_skl)=sK0_skl|~sK2_skl(sK1_skl)=sK1_skl),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f47,f89])).
% 0.20/0.50 fof(f91,plain,(
% 0.20/0.50 ~big_f(sK0_skl,sK1_skl)|~sK0_skl=sK0_skl|~sK2_skl(sK1_skl)=sK1_skl),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f83,f90])).
% 0.20/0.50 fof(f92,plain,(
% 0.20/0.50 ~big_f(sK0_skl,sK1_skl)|~sK0_skl=sK0_skl|~sK1_skl=sK1_skl),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f47,f91])).
% 0.20/0.50 fof(f93,plain,(
% 0.20/0.50 ~big_f(sK0_skl,sK1_skl)),
% 0.20/0.50 inference(trivial_equality_resolution,[status(thm)],[f92])).
% 0.20/0.50 fof(f94,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f93,f18])).
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.54 % Elapsed time: 0.069349 seconds
% 0.20/0.54 % CPU time: 0.112733 seconds
% 0.20/0.54 % Total memory used: 12.602 MB
% 0.20/0.54 % Net memory used: 12.578 MB
%------------------------------------------------------------------------------