%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET940+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 02:12:53 PM UTC 2026
% Result : Theorem 0.15s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET940+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
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:47:16 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.38 fof(f3,axiom,(
% 0.15/0.38 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f4,axiom,(
% 0.15/0.38 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f8,conjecture,(
% 0.15/0.38 (! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B) )),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f9,negated_conjecture,(
% 0.15/0.38 ~((! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B) ))),
% 0.15/0.38 inference(negated_conjecture,[status(cth)],[f8])).
% 0.15/0.38 fof(f10,axiom,(
% 0.15/0.38 (! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B) )),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f17,plain,(
% 0.15/0.38 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.38 fof(f18,plain,(
% 0.15/0.38 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.38 fof(f25,plain,(
% 0.15/0.38 (?[A,B]: ~union(unordered_pair(A,B))=set_union2(A,B))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/0.38 fof(f26,plain,(
% 0.15/0.38 ~union(unordered_pair(sK2_skl,sK3_skl))=set_union2(sK2_skl,sK3_skl)),
% 0.15/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f25])).
% 0.15/0.38 fof(f27,plain,(
% 0.15/0.38 ~union(unordered_pair(sK2_skl,sK3_skl))=set_union2(sK2_skl,sK3_skl)),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/0.38 fof(f28,plain,(
% 0.15/0.38 ![X0,X1]: (union(unordered_pair(X0,X1))=set_union2(X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.38 fof(f29,plain,(
% 0.15/0.38 ~union(unordered_pair(sK3_skl,sK2_skl))=set_union2(sK2_skl,sK3_skl)),
% 0.15/0.38 inference(backward_demodulation,[status(thm)],[f17,f27])).
% 0.15/0.38 fof(f40,plain,(
% 0.15/0.38 ~set_union2(sK3_skl,sK2_skl)=set_union2(sK2_skl,sK3_skl)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f28,f29])).
% 0.15/0.38 fof(f41,plain,(
% 0.15/0.38 ~set_union2(sK3_skl,sK2_skl)=set_union2(sK3_skl,sK2_skl)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f18,f40])).
% 0.15/0.38 fof(f42,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(trivial_equality_resolution,[status(thm)],[f41])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.038337 seconds
% 0.15/0.41 % CPU time: 0.108094 seconds
% 0.15/0.41 % Total memory used: 41.427 MB
% 0.15/0.41 % Net memory used: 41.113 MB
%------------------------------------------------------------------------------