%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV164+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 : n011.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 0.08s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV164+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
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:33:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.40 % Drodi V4.1.1
% 0.08/0.45 % Refutation found
% 0.08/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.45 fof(f3,axiom,(
% 0.08/0.45 (! [X] : ~ gt(X,X) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f5,axiom,(
% 0.08/0.45 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f13,axiom,(
% 0.08/0.45 (! [X,Y] :( leq(X,Y)<=> gt(succ(Y),X) ) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f28,axiom,(
% 0.08/0.45 succ(tptp_minus_1) = n0 ),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f53,conjecture,(
% 0.08/0.45 ( ( 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(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),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))))) ) )) ),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f54,negated_conjecture,(
% 0.08/0.45 ~(( ( 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(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),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))))) ) )) )),
% 0.08/0.45 inference(negated_conjecture,[status(cth)],[f53])).
% 0.08/0.45 fof(f106,plain,(
% 0.08/0.45 ![X0]: (~gt(X0,X0))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.45 fof(f108,plain,(
% 0.08/0.45 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/0.45 fof(f109,plain,(
% 0.08/0.45 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.08/0.45 inference(miniscoping,[status(thm)],[f108])).
% 0.08/0.45 fof(f110,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f109])).
% 0.08/0.45 fof(f130,plain,(
% 0.08/0.45 ![X,Y]: ((~leq(X,Y)|gt(succ(Y),X))&(leq(X,Y)|~gt(succ(Y),X)))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f13])).
% 0.08/0.45 fof(f131,plain,(
% 0.08/0.45 (![X,Y]: (~leq(X,Y)|gt(succ(Y),X)))&(![X,Y]: (leq(X,Y)|~gt(succ(Y),X)))),
% 0.08/0.45 inference(miniscoping,[status(thm)],[f130])).
% 0.08/0.45 fof(f132,plain,(
% 0.08/0.45 ![X0,X1]: (~leq(X0,X1)|gt(succ(X1),X0))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f131])).
% 0.08/0.45 fof(f214,plain,(
% 0.08/0.45 succ(tptp_minus_1)=n0),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.45 fof(f259,plain,(
% 0.08/0.45 (((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(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),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))))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.08/0.46 fof(f260,plain,(
% 0.08/0.46 ((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(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),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))))))),
% 0.08/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(B,sK23_skl)],[f259])).
% 0.08/0.46 fof(f264,plain,(
% 0.08/0.46 leq(n0,sK23_skl)),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f260])).
% 0.08/0.46 fof(f265,plain,(
% 0.08/0.46 leq(sK23_skl,tptp_minus_1)),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f260])).
% 0.08/0.46 fof(f369,plain,(
% 0.08/0.46 ![X0]: (~leq(X0,sK23_skl)|leq(X0,tptp_minus_1))),
% 0.08/0.46 inference(resolution,[status(thm)],[f110,f265])).
% 0.08/0.46 fof(f411,plain,(
% 0.08/0.46 leq(n0,tptp_minus_1)),
% 0.08/0.46 inference(resolution,[status(thm)],[f369,f264])).
% 0.08/0.46 fof(f695,plain,(
% 0.08/0.46 gt(succ(tptp_minus_1),n0)),
% 0.08/0.46 inference(resolution,[status(thm)],[f132,f411])).
% 0.08/0.46 fof(f701,plain,(
% 0.08/0.46 gt(n0,n0)),
% 0.08/0.46 inference(forward_demodulation,[status(thm)],[f214,f695])).
% 0.08/0.46 fof(f702,plain,(
% 0.08/0.46 $false),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f701,f106])).
% 0.08/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.51 % Elapsed time: 0.145176 seconds
% 0.12/0.51 % CPU time: 0.272216 seconds
% 0.12/0.51 % Total memory used: 42.397 MB
% 0.12/0.51 % Net memory used: 42.210 MB
%------------------------------------------------------------------------------