%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV041+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:49:58 PM UTC 2026
% Result : Theorem 0.24s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV041+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n026.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 08:30:52 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.24/0.58 % Refutation found
% 0.24/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.58 fof(f3,axiom,(
% 0.24/0.58 (! [X] : ~ gt(X,X) )),
% 0.24/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.58 fof(f5,axiom,(
% 0.24/0.58 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.24/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.58 fof(f13,axiom,(
% 0.24/0.58 (! [X,Y] :( leq(X,Y)<=> gt(succ(Y),X) ) )),
% 0.24/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.58 fof(f28,axiom,(
% 0.24/0.58 succ(tptp_minus_1) = n0 ),
% 0.24/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.58 fof(f39,axiom,(
% 0.24/0.58 (! [X] : minus(X,n1) = pred(X) )),
% 0.24/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.58 fof(f40,axiom,(
% 0.24/0.58 (! [X] : pred(succ(X)) = X )),
% 0.24/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.58 fof(f53,conjecture,(
% 0.24/0.58 ( ( geq(minus(n330,n1),n0)& geq(minus(n410,n1),n0) )=> (! [A] :( ( leq(n0,A)& leq(A,n2) )=> (! [B] :( ( leq(n0,B)& leq(B,minus(n0,n1)) )=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),B,A) = init ) )) )) ),
% 0.24/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.58 fof(f54,negated_conjecture,(
% 0.24/0.58 ~(( ( geq(minus(n330,n1),n0)& geq(minus(n410,n1),n0) )=> (! [A] :( ( leq(n0,A)& leq(A,n2) )=> (! [B] :( ( leq(n0,B)& leq(B,minus(n0,n1)) )=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),B,A) = init ) )) )) )),
% 0.24/0.58 inference(negated_conjecture,[status(cth)],[f53])).
% 0.24/0.58 fof(f106,plain,(
% 0.24/0.58 ![X0]: (~gt(X0,X0))),
% 0.24/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.24/0.58 fof(f108,plain,(
% 0.24/0.58 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.24/0.58 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.24/0.58 fof(f109,plain,(
% 0.24/0.58 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.24/0.58 inference(miniscoping,[status(thm)],[f108])).
% 0.24/0.58 fof(f110,plain,(
% 0.24/0.58 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.24/0.58 inference(cnf_transformation,[status(thm)],[f109])).
% 0.24/0.58 fof(f130,plain,(
% 0.24/0.58 ![X,Y]: ((~leq(X,Y)|gt(succ(Y),X))&(leq(X,Y)|~gt(succ(Y),X)))),
% 0.24/0.58 inference(NNF_transformation,[status(thm)],[f13])).
% 0.24/0.58 fof(f131,plain,(
% 0.24/0.58 (![X,Y]: (~leq(X,Y)|gt(succ(Y),X)))&(![X,Y]: (leq(X,Y)|~gt(succ(Y),X)))),
% 0.24/0.58 inference(miniscoping,[status(thm)],[f130])).
% 0.24/0.58 fof(f132,plain,(
% 0.24/0.58 ![X0,X1]: (~leq(X0,X1)|gt(succ(X1),X0))),
% 0.24/0.58 inference(cnf_transformation,[status(thm)],[f131])).
% 0.24/0.58 fof(f214,plain,(
% 0.24/0.58 succ(tptp_minus_1)=n0),
% 0.24/0.58 inference(cnf_transformation,[status(thm)],[f28])).
% 0.24/0.58 fof(f225,plain,(
% 0.24/0.58 ![X0]: (minus(X0,n1)=pred(X0))),
% 0.24/0.58 inference(cnf_transformation,[status(thm)],[f39])).
% 0.24/0.58 fof(f226,plain,(
% 0.24/0.58 ![X0]: (pred(succ(X0))=X0)),
% 0.24/0.58 inference(cnf_transformation,[status(thm)],[f40])).
% 0.24/0.58 fof(f259,plain,(
% 0.24/0.58 ((geq(minus(n330,n1),n0)&geq(minus(n410,n1),n0))&(?[A]: ((leq(n0,A)&leq(A,n2))&(?[B]: ((leq(n0,B)&leq(B,minus(n0,n1)))&~a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),B,A)=init)))))),
% 0.24/0.58 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.24/0.58 fof(f260,plain,(
% 0.24/0.58 (geq(minus(n330,n1),n0)&geq(minus(n410,n1),n0))&((leq(n0,sK23_skl)&leq(sK23_skl,n2))&((leq(n0,sK24_skl)&leq(sK24_skl,minus(n0,n1)))&~a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),sK24_skl,sK23_skl)=init))),
% 0.24/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(A,sK23_skl),skolemize(B,sK24_skl)],[f259])).
% 0.24/0.58 fof(f265,plain,(
% 0.24/0.58 leq(n0,sK24_skl)),
% 0.24/0.58 inference(cnf_transformation,[status(thm)],[f260])).
% 0.24/0.58 fof(f266,plain,(
% 0.24/0.58 leq(sK24_skl,minus(n0,n1))),
% 0.24/0.58 inference(cnf_transformation,[status(thm)],[f260])).
% 0.24/0.58 fof(f359,plain,(
% 0.24/0.58 ![X0]: (~leq(sK24_skl,X0)|leq(n0,X0))),
% 0.24/0.58 inference(resolution,[status(thm)],[f110,f265])).
% 0.24/0.58 fof(f370,plain,(
% 0.24/0.58 pred(n0)=tptp_minus_1),
% 0.24/0.58 inference(paramodulation,[status(thm)],[f214,f226])).
% 0.24/0.58 fof(f605,plain,(
% 0.24/0.58 leq(sK24_skl,pred(n0))),
% 0.24/0.58 inference(backward_demodulation,[status(thm)],[f225,f266])).
% 0.24/0.58 fof(f684,plain,(
% 0.24/0.58 leq(sK24_skl,tptp_minus_1)),
% 0.24/0.58 inference(forward_demodulation,[status(thm)],[f370,f605])).
% 0.24/0.58 fof(f685,plain,(
% 0.24/0.58 leq(n0,tptp_minus_1)),
% 0.24/0.58 inference(resolution,[status(thm)],[f684,f359])).
% 0.24/0.58 fof(f774,plain,(
% 0.24/0.58 gt(succ(tptp_minus_1),n0)),
% 0.24/0.58 inference(resolution,[status(thm)],[f132,f685])).
% 0.24/0.58 fof(f778,plain,(
% 0.24/0.58 gt(n0,n0)),
% 0.24/0.58 inference(forward_demodulation,[status(thm)],[f214,f774])).
% 0.24/0.58 fof(f779,plain,(
% 0.24/0.58 $false),
% 0.24/0.58 inference(forward_subsumption_resolution,[status(thm)],[f778,f106])).
% 0.24/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.38/0.62 % Elapsed time: 0.158919 seconds
% 0.38/0.62 % CPU time: 0.842318 seconds
% 0.38/0.62 % Total memory used: 115.088 MB
% 0.38/0.62 % Net memory used: 114.033 MB
%------------------------------------------------------------------------------