%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET962+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:12:55 PM UTC 2026
% Result : Theorem 0.10s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET962+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:45:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.52 % Refutation found
% 0.10/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.52 fof(f5,axiom,(
% 0.10/0.52 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 0.10/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f8,conjecture,(
% 0.10/0.52 (! [A,B] :( cartesian_product2(A,A) = cartesian_product2(B,B)=> A = B ) )),
% 0.10/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f9,negated_conjecture,(
% 0.10/0.52 ~((! [A,B] :( cartesian_product2(A,A) = cartesian_product2(B,B)=> A = B ) ))),
% 0.10/0.52 inference(negated_conjecture,[status(cth)],[f8])).
% 0.10/0.52 fof(f10,axiom,(
% 0.10/0.52 (! [A,B] :( (! [C] :( in(C,A)<=> in(C,B) ))=> A = B ) )),
% 0.10/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f16,plain,(
% 0.10/0.52 ![A,B,C,D]: ((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&(in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.10/0.52 inference(NNF_transformation,[status(thm)],[f5])).
% 0.10/0.52 fof(f17,plain,(
% 0.10/0.52 (![A,B,C,D]: (~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D))))&(![A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f16])).
% 0.10/0.52 fof(f19,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X1,X3))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.52 fof(f20,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.52 fof(f25,plain,(
% 0.10/0.52 (?[A,B]: (cartesian_product2(A,A)=cartesian_product2(B,B)&~A=B))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.10/0.52 fof(f26,plain,(
% 0.10/0.52 (cartesian_product2(sK2_skl,sK2_skl)=cartesian_product2(sK3_skl,sK3_skl)&~sK2_skl=sK3_skl)),
% 0.10/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f25])).
% 0.10/0.52 fof(f27,plain,(
% 0.10/0.52 cartesian_product2(sK2_skl,sK2_skl)=cartesian_product2(sK3_skl,sK3_skl)),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.52 fof(f28,plain,(
% 0.10/0.52 ~sK2_skl=sK3_skl),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.52 fof(f29,plain,(
% 0.10/0.52 ![A,B]: ((?[C]: (in(C,A)<~>in(C,B)))|A=B)),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.10/0.52 fof(f30,plain,(
% 0.10/0.52 ![A,B]: ((?[C]: ((in(C,A)|in(C,B))&(~in(C,A)|~in(C,B))))|A=B)),
% 0.10/0.52 inference(NNF_transformation,[status(thm)],[f29])).
% 0.10/0.52 fof(f31,plain,(
% 0.10/0.52 ![A,B]: (((in(sK4_skl(B,A),A)|in(sK4_skl(B,A),B))&(~in(sK4_skl(B,A),A)|~in(sK4_skl(B,A),B)))|A=B)),
% 0.10/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(C,sK4_skl(B,A))],[f30])).
% 0.10/0.52 fof(f32,plain,(
% 0.10/0.52 ![X0,X1]: (in(sK4_skl(X0,X1),X1)|in(sK4_skl(X0,X1),X0)|X1=X0)),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.52 fof(f33,plain,(
% 0.10/0.52 ![X0,X1]: (~in(sK4_skl(X0,X1),X1)|~in(sK4_skl(X0,X1),X0)|X1=X0)),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.52 fof(f35,plain,(
% 0.10/0.52 ![X0,X1]: (~in(ordered_pair(X0,X1),cartesian_product2(sK3_skl,sK3_skl))|in(X1,sK2_skl))),
% 0.10/0.52 inference(paramodulation,[status(thm)],[f27,f19])).
% 0.10/0.52 fof(f54,plain,(
% 0.10/0.52 ![X0,X1]: (in(sK4_skl(X0,X1),X1)|X1=X0|in(ordered_pair(sK4_skl(X0,X1),sK4_skl(X0,X1)),cartesian_product2(X0,X0)))),
% 0.10/0.52 inference(resolution,[status(thm)],[f32,f20])).
% 0.10/0.52 fof(f158,plain,(
% 0.10/0.52 ![X0]: (in(sK4_skl(sK3_skl,X0),X0)|X0=sK3_skl|in(sK4_skl(sK3_skl,X0),sK2_skl))),
% 0.10/0.52 inference(resolution,[status(thm)],[f54,f35])).
% 0.10/0.52 fof(f178,plain,(
% 0.10/0.52 sK2_skl=sK3_skl|~in(sK4_skl(sK3_skl,sK2_skl),sK3_skl)|sK2_skl=sK3_skl),
% 0.10/0.52 inference(resolution,[status(thm)],[f158,f33])).
% 0.10/0.52 fof(f190,plain,(
% 0.10/0.52 sK2_skl=sK3_skl|in(ordered_pair(sK4_skl(sK3_skl,sK2_skl),sK4_skl(sK3_skl,sK2_skl)),cartesian_product2(sK2_skl,sK2_skl))),
% 0.10/0.52 inference(resolution,[status(thm)],[f158,f20])).
% 0.10/0.52 fof(f204,plain,(
% 0.10/0.52 sK2_skl=sK3_skl|~in(sK4_skl(sK3_skl,sK2_skl),sK3_skl)),
% 0.10/0.52 inference(duplicate_literals_removal,[status(thm)],[f178])).
% 0.10/0.52 fof(f205,plain,(
% 0.10/0.52 ~in(sK4_skl(sK3_skl,sK2_skl),sK3_skl)),
% 0.10/0.52 inference(forward_subsumption_resolution,[status(thm)],[f204,f28])).
% 0.10/0.52 fof(f212,plain,(
% 0.10/0.52 sK2_skl=sK3_skl|in(ordered_pair(sK4_skl(sK3_skl,sK2_skl),sK4_skl(sK3_skl,sK2_skl)),cartesian_product2(sK3_skl,sK3_skl))),
% 0.10/0.53 inference(forward_demodulation,[status(thm)],[f27,f190])).
% 0.10/0.53 fof(f213,plain,(
% 0.10/0.53 in(ordered_pair(sK4_skl(sK3_skl,sK2_skl),sK4_skl(sK3_skl,sK2_skl)),cartesian_product2(sK3_skl,sK3_skl))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f212,f28])).
% 0.10/0.53 fof(f558,plain,(
% 0.10/0.53 in(sK4_skl(sK3_skl,sK2_skl),sK3_skl)),
% 0.10/0.53 inference(resolution,[status(thm)],[f213,f19])).
% 0.10/0.53 fof(f572,plain,(
% 0.10/0.53 $false),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f558,f205])).
% 0.10/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.55 % Elapsed time: 0.169430 seconds
% 0.10/0.55 % CPU time: 1.035432 seconds
% 0.10/0.55 % Total memory used: 114.991 MB
% 0.10/0.55 % Net memory used: 112.573 MB
%------------------------------------------------------------------------------