%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET891+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 : n015.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 02:12:49 PM UTC 2026
% Result : Theorem 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET891+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 : n015.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 05:46:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f6,axiom,(
% 0.15/0.40 (! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f9,conjecture,(
% 0.15/0.40 (! [A,B] : union(unordered_pair(singleton(A),singleton(B))) = unordered_pair(A,B) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f10,negated_conjecture,(
% 0.15/0.40 ~((! [A,B] : union(unordered_pair(singleton(A),singleton(B))) = unordered_pair(A,B) ))),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f9])).
% 0.15/0.40 fof(f11,axiom,(
% 0.15/0.40 (! [A,B] : unordered_pair(A,B) = set_union2(singleton(A),singleton(B)) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f22,plain,(
% 0.15/0.40 ![X0,X1]: (union(unordered_pair(X0,X1))=set_union2(X0,X1))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.40 fof(f27,plain,(
% 0.15/0.40 (?[A,B]: ~union(unordered_pair(singleton(A),singleton(B)))=unordered_pair(A,B))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.15/0.40 fof(f28,plain,(
% 0.15/0.40 ~union(unordered_pair(singleton(sK2_skl),singleton(sK3_skl)))=unordered_pair(sK2_skl,sK3_skl)),
% 0.15/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f27])).
% 0.15/0.40 fof(f29,plain,(
% 0.15/0.40 ~union(unordered_pair(singleton(sK2_skl),singleton(sK3_skl)))=unordered_pair(sK2_skl,sK3_skl)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.40 fof(f30,plain,(
% 0.15/0.40 ![X0,X1]: (unordered_pair(X0,X1)=set_union2(singleton(X0),singleton(X1)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.40 fof(f31,plain,(
% 0.15/0.40 ~set_union2(singleton(sK2_skl),singleton(sK3_skl))=unordered_pair(sK2_skl,sK3_skl)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f22,f29])).
% 0.15/0.40 fof(f32,plain,(
% 0.15/0.40 ~unordered_pair(sK2_skl,sK3_skl)=unordered_pair(sK2_skl,sK3_skl)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f30,f31])).
% 0.15/0.40 fof(f33,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(trivial_equality_resolution,[status(thm)],[f32])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.056137 seconds
% 0.15/0.42 % CPU time: 0.151703 seconds
% 0.15/0.42 % Total memory used: 66.316 MB
% 0.15/0.42 % Net memory used: 65.811 MB
%------------------------------------------------------------------------------