%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET954+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 02:12:54 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET954+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:44:27 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,conjecture,(
% 0.13/0.38 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))=> in(ordered_pair(B,A),cartesian_product2(D,C)) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,negated_conjecture,(
% 0.13/0.38 ~((! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))=> in(ordered_pair(B,A),cartesian_product2(D,C)) ) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f8])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![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))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 (![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))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X0,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X1,X3))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 (?[A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))&~in(ordered_pair(B,A),cartesian_product2(D,C))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 (in(ordered_pair(sK2_skl,sK3_skl),cartesian_product2(sK4_skl,sK5_skl))&~in(ordered_pair(sK3_skl,sK2_skl),cartesian_product2(sK5_skl,sK4_skl)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl),skolemize(C,sK4_skl),skolemize(D,sK5_skl)],[f24])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 in(ordered_pair(sK2_skl,sK3_skl),cartesian_product2(sK4_skl,sK5_skl))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ~in(ordered_pair(sK3_skl,sK2_skl),cartesian_product2(sK5_skl,sK4_skl))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 in(sK2_skl,sK4_skl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f17,f26])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 in(sK3_skl,sK5_skl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f18,f26])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 ![X0,X1]: (in(ordered_pair(X0,sK2_skl),cartesian_product2(X1,sK4_skl))|~in(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f29,f19])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 in(ordered_pair(sK3_skl,sK2_skl),cartesian_product2(sK5_skl,sK4_skl))),
% 0.13/0.38 inference(resolution,[status(thm)],[f40,f30])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f47,f27])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.050981 seconds
% 0.13/0.42 % CPU time: 0.143147 seconds
% 0.13/0.42 % Total memory used: 66.471 MB
% 0.13/0.42 % Net memory used: 65.985 MB
%------------------------------------------------------------------------------