%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV163+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:50:10 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV163+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 08:33:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (! [X] : ~ gt(X,X) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,axiom,(
% 0.14/0.39 (! [X,Y] :( leq(X,pred(Y))<=> gt(Y,X) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f40,axiom,(
% 0.14/0.39 (! [X] : pred(succ(X)) = X )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f53,conjecture,(
% 0.14/0.39 ( ( leq(n0,pv10)& leq(pv10,n135299)& (! [A] :( ( leq(n0,A)& leq(A,pred(pv10)) )=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ) ))=> (! [B] :( ( leq(n0,B)& leq(B,tptp_minus_1) )=> a_select3(q,pv10,B) = divide(sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) )) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f54,negated_conjecture,(
% 0.14/0.39 ~(( ( leq(n0,pv10)& leq(pv10,n135299)& (! [A] :( ( leq(n0,A)& leq(A,pred(pv10)) )=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ) ))=> (! [B] :( ( leq(n0,B)& leq(B,tptp_minus_1) )=> a_select3(q,pv10,B) = divide(sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) )) )),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f53])).
% 0.14/0.39 fof(f61,axiom,(
% 0.14/0.39 gt(n0,tptp_minus_1) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f62,axiom,(
% 0.14/0.39 gt(n1,tptp_minus_1) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f85,axiom,(
% 0.14/0.39 (! [X] :( ( leq(n0,X)& leq(X,n0) )=> X = n0 ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f91,axiom,(
% 0.14/0.39 succ(n0) = n1 ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f98,plain,(
% 0.14/0.39 ![X0]: (~gt(X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f101,plain,(
% 0.14/0.39 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f100])).
% 0.14/0.39 fof(f102,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f101])).
% 0.14/0.39 fof(f115,plain,(
% 0.14/0.39 ![X,Y]: ((~leq(X,pred(Y))|gt(Y,X))&(leq(X,pred(Y))|~gt(Y,X)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f116,plain,(
% 0.14/0.39 (![X,Y]: (~leq(X,pred(Y))|gt(Y,X)))&(![X,Y]: (leq(X,pred(Y))|~gt(Y,X)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f115])).
% 0.14/0.39 fof(f118,plain,(
% 0.14/0.39 ![X0,X1]: (leq(X0,pred(X1))|~gt(X1,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f116])).
% 0.14/0.39 fof(f218,plain,(
% 0.14/0.39 ![X0]: (pred(succ(X0))=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.39 fof(f251,plain,(
% 0.14/0.39 (((leq(n0,pv10)&leq(pv10,n135299))&(![A]: ((~leq(n0,A)|~leq(A,pred(pv10)))|sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1)))&(?[B]: ((leq(n0,B)&leq(B,tptp_minus_1))&~a_select3(q,pv10,B)=divide(sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.14/0.39 fof(f252,plain,(
% 0.14/0.39 ((leq(n0,pv10)&leq(pv10,n135299))&(![A]: ((~leq(n0,A)|~leq(A,pred(pv10)))|sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1)))&((leq(n0,sK23_skl)&leq(sK23_skl,tptp_minus_1))&~a_select3(q,pv10,sK23_skl)=divide(sqrt(times(minus(a_select3(center,sK23_skl,n0),a_select2(x,pv10)),minus(a_select3(center,sK23_skl,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(B,sK23_skl)],[f251])).
% 0.14/0.40 fof(f256,plain,(
% 0.14/0.40 leq(n0,sK23_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f252])).
% 0.14/0.40 fof(f257,plain,(
% 0.14/0.40 leq(sK23_skl,tptp_minus_1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f252])).
% 0.14/0.40 fof(f265,plain,(
% 0.14/0.40 gt(n0,tptp_minus_1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/0.40 fof(f266,plain,(
% 0.14/0.40 gt(n1,tptp_minus_1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f62])).
% 0.14/0.40 fof(f291,plain,(
% 0.14/0.40 ![X]: ((~leq(n0,X)|~leq(X,n0))|X=n0)),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 0.14/0.40 fof(f292,plain,(
% 0.14/0.40 ![X0]: (~leq(n0,X0)|~leq(X0,n0)|X0=n0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f291])).
% 0.14/0.40 fof(f301,plain,(
% 0.14/0.40 succ(n0)=n1),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/0.40 fof(f353,plain,(
% 0.14/0.40 ![X0]: (~leq(X0,sK23_skl)|leq(X0,tptp_minus_1))),
% 0.14/0.40 inference(resolution,[status(thm)],[f102,f257])).
% 0.14/0.40 fof(f395,plain,(
% 0.14/0.40 leq(n0,tptp_minus_1)),
% 0.14/0.40 inference(resolution,[status(thm)],[f353,f256])).
% 0.14/0.40 fof(f410,plain,(
% 0.14/0.40 pred(n1)=n0),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f301,f218])).
% 0.14/0.40 fof(f424,plain,(
% 0.14/0.40 leq(tptp_minus_1,pred(n1))),
% 0.14/0.40 inference(resolution,[status(thm)],[f118,f266])).
% 0.14/0.40 fof(f448,plain,(
% 0.14/0.40 leq(tptp_minus_1,n0)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f410,f424])).
% 0.14/0.40 fof(f582,plain,(
% 0.14/0.40 ~leq(tptp_minus_1,n0)|tptp_minus_1=n0),
% 0.14/0.40 inference(resolution,[status(thm)],[f292,f395])).
% 0.14/0.40 fof(f594,definition,(
% 0.14/0.40 sQ6_spl <=> (leq(tptp_minus_1,n0))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f596,plain,(
% 0.14/0.40 ~leq(tptp_minus_1,n0)|sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f594])).
% 0.14/0.40 fof(f597,definition,(
% 0.14/0.40 sQ7_spl <=> (tptp_minus_1=n0)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f598,plain,(
% 0.14/0.40 tptp_minus_1=n0|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f597])).
% 0.14/0.40 fof(f600,plain,(
% 0.14/0.40 ~sQ6_spl|sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f582,f594,f597])).
% 0.14/0.40 fof(f624,plain,(
% 0.14/0.40 $false|sQ6_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f596,f448])).
% 0.14/0.40 fof(f625,plain,(
% 0.14/0.40 sQ6_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f624])).
% 0.14/0.40 fof(f650,plain,(
% 0.14/0.40 gt(tptp_minus_1,tptp_minus_1)|~sQ7_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f598,f265])).
% 0.14/0.40 fof(f659,plain,(
% 0.14/0.40 $false|~sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f650,f98])).
% 0.14/0.40 fof(f660,plain,(
% 0.14/0.40 ~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f659])).
% 0.14/0.40 fof(f661,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f600,f625,f660])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.054693 seconds
% 0.14/0.43 % CPU time: 0.189580 seconds
% 0.14/0.43 % Total memory used: 109.706 MB
% 0.14/0.43 % Net memory used: 109.387 MB
%------------------------------------------------------------------------------