%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:03:46 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 04:13:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f2,axiom,(
% 0.09/0.38 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f14,conjecture,(
% 0.09/0.38 (! [X0,X1,X2] :( ( join(X0,X1) = X1& join(X2,X1) = X1 )=> join(join(X0,X2),X1) = X1 ) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f15,negated_conjecture,(
% 0.09/0.38 ~((! [X0,X1,X2] :( ( join(X0,X1) = X1& join(X2,X1) = X1 )=> join(join(X0,X2),X1) = X1 ) ))),
% 0.09/0.38 inference(negated_conjecture,[status(cth)],[f14])).
% 0.09/0.38 fof(f17,plain,(
% 0.09/0.38 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f29,plain,(
% 0.09/0.38 (?[X0,X1,X2]: ((join(X0,X1)=X1&join(X2,X1)=X1)&~join(join(X0,X2),X1)=X1))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.09/0.38 fof(f30,plain,(
% 0.09/0.38 ((join(sK0_skl,sK1_skl)=sK1_skl&join(sK2_skl,sK1_skl)=sK1_skl)&~join(join(sK0_skl,sK2_skl),sK1_skl)=sK1_skl)),
% 0.09/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl)],[f29])).
% 0.09/0.38 fof(f31,plain,(
% 0.09/0.38 join(sK0_skl,sK1_skl)=sK1_skl),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.38 fof(f32,plain,(
% 0.09/0.38 join(sK2_skl,sK1_skl)=sK1_skl),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.38 fof(f33,plain,(
% 0.09/0.38 ~join(join(sK0_skl,sK2_skl),sK1_skl)=sK1_skl),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.38 fof(f38,plain,(
% 0.09/0.38 ~join(sK0_skl,join(sK2_skl,sK1_skl))=sK1_skl),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f17,f33])).
% 0.09/0.38 fof(f39,plain,(
% 0.09/0.38 ~join(sK0_skl,sK1_skl)=sK1_skl),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f32,f38])).
% 0.09/0.38 fof(f40,plain,(
% 0.09/0.38 ~sK1_skl=sK1_skl),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f31,f39])).
% 0.09/0.38 fof(f41,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(trivial_equality_resolution,[status(thm)],[f40])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.39 % Elapsed time: 0.022513 seconds
% 0.09/0.39 % CPU time: 0.033148 seconds
% 0.09/0.39 % Total memory used: 899.824 KB
% 0.09/0.39 % Net memory used: 856.736 KB
%------------------------------------------------------------------------------