%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV160+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 : 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 02:50:09 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV160+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:38:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (! [X] : ~ gt(X,X) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,axiom,(
% 0.13/0.40 (! [X,Y] :( leq(X,pred(Y))<=> gt(Y,X) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f53,conjecture,(
% 0.13/0.40 ( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))& leq(n0,pv10)& leq(n0,pv47)& leq(pv10,n135299)& leq(pv47,n4)& (! [A] :( ( leq(n0,A)& leq(A,pred(pv47)) )=> a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ))& (! [B] :( ( leq(n0,B)& leq(B,pred(pv10)) )=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ))=> (! [C] :( ( leq(n0,C)& leq(C,pred(pv10)) )=> ( pv10 = C=> sum(n0,n4,cond(tptp_term_equals(pv47,tptp_sum_index),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),a_select3(q,C,tptp_sum_index))) = n1 ) ) )) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f54,negated_conjecture,(
% 0.13/0.40 ~(( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))& leq(n0,pv10)& leq(n0,pv47)& leq(pv10,n135299)& leq(pv47,n4)& (! [A] :( ( leq(n0,A)& leq(A,pred(pv47)) )=> a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ))& (! [B] :( ( leq(n0,B)& leq(B,pred(pv10)) )=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ))=> (! [C] :( ( leq(n0,C)& leq(C,pred(pv10)) )=> ( pv10 = C=> sum(n0,n4,cond(tptp_term_equals(pv47,tptp_sum_index),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),a_select3(q,C,tptp_sum_index))) = n1 ) ) )) )),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 ![X0]: (~gt(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 ![X,Y]: ((~leq(X,pred(Y))|gt(Y,X))&(leq(X,pred(Y))|~gt(Y,X)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f124,plain,(
% 0.13/0.40 (![X,Y]: (~leq(X,pred(Y))|gt(Y,X)))&(![X,Y]: (leq(X,pred(Y))|~gt(Y,X)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f123])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 ![X0,X1]: (~leq(X0,pred(X1))|gt(X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f124])).
% 0.13/0.40 fof(f259,plain,(
% 0.13/0.40 (((((((pv84=sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&(![A]: ((~leq(n0,A)|~leq(A,pred(pv47)))|a_select3(q,pv10,A)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))))&(![B]: ((~leq(n0,B)|~leq(B,pred(pv10)))|sum(n0,n4,a_select3(q,B,tptp_sum_index))=n1)))&(?[C]: ((leq(n0,C)&leq(C,pred(pv10)))&(pv10=C&~sum(n0,n4,cond(tptp_term_equals(pv47,tptp_sum_index),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),a_select3(q,C,tptp_sum_index)))=n1))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.40 fof(f260,plain,(
% 0.13/0.40 ((((((pv84=sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&(![A]: ((~leq(n0,A)|~leq(A,pred(pv47)))|a_select3(q,pv10,A)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))))&(![B]: ((~leq(n0,B)|~leq(B,pred(pv10)))|sum(n0,n4,a_select3(q,B,tptp_sum_index))=n1)))&((leq(n0,sK23_skl)&leq(sK23_skl,pred(pv10)))&(pv10=sK23_skl&~sum(n0,n4,cond(tptp_term_equals(pv47,tptp_sum_index),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),a_select3(q,sK23_skl,tptp_sum_index)))=n1))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(C,sK23_skl)],[f259])).
% 0.13/0.40 fof(f269,plain,(
% 0.13/0.40 leq(sK23_skl,pred(pv10))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f260])).
% 0.13/0.40 fof(f270,plain,(
% 0.13/0.40 pv10=sK23_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f260])).
% 0.13/0.40 fof(f442,plain,(
% 0.13/0.40 leq(sK23_skl,pred(sK23_skl))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f270,f269])).
% 0.13/0.40 fof(f444,plain,(
% 0.13/0.40 gt(sK23_skl,sK23_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f442,f125])).
% 0.13/0.40 fof(f447,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f444,f106])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.067697 seconds
% 0.13/0.43 % CPU time: 0.176831 seconds
% 0.13/0.43 % Total memory used: 110.037 MB
% 0.13/0.43 % Net memory used: 109.848 MB
%------------------------------------------------------------------------------