%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET907+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 : n013.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 02:12:50 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 : SET907+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
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:42:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % 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(f10,axiom,(
% 0.13/0.39 (! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,axiom,(
% 0.13/0.39 (! [A,B,C] :( subset(unordered_pair(A,B),C)<=> ( in(A,C)& in(B,C) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,conjecture,(
% 0.13/0.39 (! [A,B,C] :( ( in(A,B)& in(C,B) )=> set_union2(unordered_pair(A,C),B) = B ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ~((! [A,B,C] :( ( in(A,B)& in(C,B) )=> set_union2(unordered_pair(A,C),B) = B ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f12])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ![A,B]: (~subset(A,B)|set_union2(A,B)=B)),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 ![X0,X1]: (~subset(X0,X1)|set_union2(X0,X1)=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 ![A,B,C]: ((~subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C)))&(subset(unordered_pair(A,B),C)|(~in(A,C)|~in(B,C))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 (![A,B,C]: (~subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C))))&(![A,B,C]: (subset(unordered_pair(A,B),C)|(~in(A,C)|~in(B,C))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 ![X0,X1,X2]: (subset(unordered_pair(X0,X1),X2)|~in(X0,X2)|~in(X1,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 (?[A,B,C]: ((in(A,B)&in(C,B))&~set_union2(unordered_pair(A,C),B)=B))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 ((in(sK2_skl,sK3_skl)&in(sK4_skl,sK3_skl))&~set_union2(unordered_pair(sK2_skl,sK4_skl),sK3_skl)=sK3_skl)),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f39])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 in(sK2_skl,sK3_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 in(sK4_skl,sK3_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ~set_union2(unordered_pair(sK2_skl,sK4_skl),sK3_skl)=sK3_skl),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 ![X0]: (subset(unordered_pair(X0,sK4_skl),sK3_skl)|~in(X0,sK3_skl))),
% 0.13/0.39 inference(resolution,[status(thm)],[f38,f42])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 subset(unordered_pair(sK2_skl,sK4_skl),sK3_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f79,f41])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 set_union2(unordered_pair(sK2_skl,sK4_skl),sK3_skl)=sK3_skl),
% 0.13/0.39 inference(resolution,[status(thm)],[f84,f33])).
% 0.13/0.39 fof(f91,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f90,f43])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.048979 seconds
% 0.13/0.42 % CPU time: 0.146774 seconds
% 0.13/0.42 % Total memory used: 66.600 MB
% 0.13/0.42 % Net memory used: 66.187 MB
%------------------------------------------------------------------------------