%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV154+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 : n008.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 0.09s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV154+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 : n008.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 08:34:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f53,conjecture,(
% 0.09/0.42 ( ( pv70 = 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)))))& leq(n0,pv10)& leq(n0,pv12)& leq(pv10,n135299)& leq(pv12,n4)& (! [A] :( ( leq(n0,A)& leq(A,pred(pv12)) )=> a_select3(q,pv10,A) = divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,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)))))) ))& (! [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,pv12) )=> ( pv12 = C=> divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70) = divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,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)))))) ) ) )) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f54,negated_conjecture,(
% 0.09/0.42 ~(( ( pv70 = 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)))))& leq(n0,pv10)& leq(n0,pv12)& leq(pv10,n135299)& leq(pv12,n4)& (! [A] :( ( leq(n0,A)& leq(A,pred(pv12)) )=> a_select3(q,pv10,A) = divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,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)))))) ))& (! [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,pv12) )=> ( pv12 = C=> divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70) = divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,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)))))) ) ) )) )),
% 0.09/0.42 inference(negated_conjecture,[status(cth)],[f53])).
% 0.09/0.42 fof(f251,plain,(
% 0.09/0.42 (((((((pv70=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)))))&leq(n0,pv10))&leq(n0,pv12))&leq(pv10,n135299))&leq(pv12,n4))&(![A]: ((~leq(n0,A)|~leq(A,pred(pv12)))|a_select3(q,pv10,A)=divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,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)))))))))&(![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,pv12))&(pv12=C&~divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,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))))))))))),
% 0.09/0.42 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.09/0.42 fof(f252,plain,(
% 0.09/0.42 ((((((pv70=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)))))&leq(n0,pv10))&leq(n0,pv12))&leq(pv10,n135299))&leq(pv12,n4))&(![A]: ((~leq(n0,A)|~leq(A,pred(pv12)))|a_select3(q,pv10,A)=divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,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)))))))))&(![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,pv12))&(pv12=sK23_skl&~divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70)=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))))))))),
% 0.09/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(C,sK23_skl)],[f251])).
% 0.09/0.43 fof(f253,plain,(
% 0.09/0.43 pv70=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)))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f252])).
% 0.09/0.43 fof(f262,plain,(
% 0.09/0.43 pv12=sK23_skl),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f252])).
% 0.09/0.43 fof(f263,plain,(
% 0.09/0.43 ~divide(sqrt(times(minus(a_select3(center,pv12,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70)=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))))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f252])).
% 0.09/0.43 fof(f420,plain,(
% 0.09/0.43 ~divide(sqrt(times(minus(a_select3(center,sK23_skl,n0),a_select2(x,pv10)),minus(a_select3(center,pv12,n0),a_select2(x,pv10)))),pv70)=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))))))),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f262,f263])).
% 0.09/0.43 fof(f421,plain,(
% 0.09/0.43 ~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)))),pv70)=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))))))),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f262,f420])).
% 0.09/0.43 fof(f422,plain,(
% 0.09/0.43 ~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)))),pv70)=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)))),pv70)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f253,f421])).
% 0.09/0.43 fof(f423,plain,(
% 0.09/0.43 $false),
% 0.09/0.43 inference(trivial_equality_resolution,[status(thm)],[f422])).
% 0.09/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.085695 seconds
% 0.09/0.46 % CPU time: 0.227646 seconds
% 0.09/0.46 % Total memory used: 109.620 MB
% 0.09/0.46 % Net memory used: 109.345 MB
%------------------------------------------------------------------------------