%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET971+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 02:12:56 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET971+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:48:02 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,axiom,(
% 0.12/0.39 (! [A,B,C,D] : cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,conjecture,(
% 0.12/0.39 (! [A,B,C,D] :( ( subset(A,B)& subset(C,D) )=> set_intersection2(cartesian_product2(A,D),cartesian_product2(B,C)) = cartesian_product2(A,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,negated_conjecture,(
% 0.12/0.39 ~((! [A,B,C,D] :( ( subset(A,B)& subset(C,D) )=> set_intersection2(cartesian_product2(A,D),cartesian_product2(B,C)) = cartesian_product2(A,C) ) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f7])).
% 0.12/0.39 fof(f9,axiom,(
% 0.12/0.39 (! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f10,plain,(
% 0.12/0.39 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f19,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3))=set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f20,plain,(
% 0.12/0.39 (?[A,B,C,D]: ((subset(A,B)&subset(C,D))&~set_intersection2(cartesian_product2(A,D),cartesian_product2(B,C))=cartesian_product2(A,C)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f21,plain,(
% 0.12/0.39 ((subset(sK2_skl,sK3_skl)&subset(sK4_skl,sK5_skl))&~set_intersection2(cartesian_product2(sK2_skl,sK5_skl),cartesian_product2(sK3_skl,sK4_skl))=cartesian_product2(sK2_skl,sK4_skl))),
% 0.12/0.39 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)],[f20])).
% 0.12/0.39 fof(f22,plain,(
% 0.12/0.39 subset(sK2_skl,sK3_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f23,plain,(
% 0.12/0.39 subset(sK4_skl,sK5_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f24,plain,(
% 0.12/0.39 ~set_intersection2(cartesian_product2(sK2_skl,sK5_skl),cartesian_product2(sK3_skl,sK4_skl))=cartesian_product2(sK2_skl,sK4_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f25,plain,(
% 0.12/0.39 ![A,B]: (~subset(A,B)|set_intersection2(A,B)=A)),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f26,plain,(
% 0.12/0.39 ![X0,X1]: (~subset(X0,X1)|set_intersection2(X0,X1)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 set_intersection2(sK4_skl,sK5_skl)=sK4_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f26,f23])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 set_intersection2(sK2_skl,sK3_skl)=sK2_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f26,f22])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 ![X0,X1]: (cartesian_product2(sK2_skl,set_intersection2(X0,X1))=set_intersection2(cartesian_product2(sK2_skl,X0),cartesian_product2(sK3_skl,X1)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f38,f19])).
% 0.12/0.39 fof(f56,plain,(
% 0.12/0.39 ~cartesian_product2(sK2_skl,set_intersection2(sK5_skl,sK4_skl))=cartesian_product2(sK2_skl,sK4_skl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f55,f24])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 ~cartesian_product2(sK2_skl,set_intersection2(sK4_skl,sK5_skl))=cartesian_product2(sK2_skl,sK4_skl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f10,f56])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 ~cartesian_product2(sK2_skl,sK4_skl)=cartesian_product2(sK2_skl,sK4_skl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f37,f57])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f58])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.044111 seconds
% 0.12/0.41 % CPU time: 0.132440 seconds
% 0.12/0.41 % Total memory used: 54.001 MB
% 0.12/0.41 % Net memory used: 53.603 MB
%------------------------------------------------------------------------------