%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU150+3 : 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 : n007.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 02:21:48 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU150+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.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 05:51:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,axiom,(
% 0.14/0.40 (! [A,B,C] :( singleton(A) = unordered_pair(B,C)=> A = B ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,conjecture,(
% 0.14/0.40 (! [A,B,C] :( singleton(A) = unordered_pair(B,C)=> B = C ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ~((! [A,B,C] :( singleton(A) = unordered_pair(B,C)=> B = C ) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f5])).
% 0.14/0.40 fof(f7,plain,(
% 0.14/0.40 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f12,plain,(
% 0.14/0.40 ![A,B,C]: (~singleton(A)=unordered_pair(B,C)|A=B)),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 ![A,B]: ((![C]: ~singleton(A)=unordered_pair(B,C))|A=B)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f12])).
% 0.14/0.40 fof(f14,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~singleton(X0)=unordered_pair(X1,X2)|X0=X1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 (?[A,B,C]: (singleton(A)=unordered_pair(B,C)&~B=C))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ?[B,C]: ((?[A]: singleton(A)=unordered_pair(B,C))&~B=C)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f15])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 (singleton(sK4_skl)=unordered_pair(sK2_skl,sK3_skl)&~sK2_skl=sK3_skl)),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(A,sK4_skl)],[f16])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 singleton(sK4_skl)=unordered_pair(sK2_skl,sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 ~sK2_skl=sK3_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f24,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~singleton(X0)=unordered_pair(X1,X2)|X0=X2)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f7,f14])).
% 0.14/0.40 fof(f26,plain,(
% 0.14/0.40 sK4_skl=sK2_skl),
% 0.14/0.40 inference(resolution,[status(thm)],[f18,f14])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 singleton(sK2_skl)=unordered_pair(sK2_skl,sK3_skl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f26,f18])).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 sK2_skl=sK3_skl),
% 0.14/0.40 inference(resolution,[status(thm)],[f24,f28])).
% 0.14/0.40 fof(f36,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f32,f19])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.069254 seconds
% 0.14/0.44 % CPU time: 0.204209 seconds
% 0.14/0.44 % Total memory used: 66.232 MB
% 0.14/0.44 % Net memory used: 65.654 MB
%------------------------------------------------------------------------------