%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV162+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 : n018.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 1.06s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV162+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
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:35:28 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 1.06/0.63 % Refutation found
% 1.06/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.06/0.63 % SZS output start CNFRefutation for theBenchmark
% 1.06/0.63 fof(f1,axiom,(
% 1.06/0.63 (! [X,Y] :( gt(X,Y)| gt(Y,X)| X = Y ) )),
% 1.06/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.63 fof(f2,axiom,(
% 1.06/0.63 (! [X,Y,Z] :( ( gt(X,Y)& gt(Y,Z) )=> gt(X,Z) ) )),
% 1.06/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.63 fof(f3,axiom,(
% 1.06/0.63 (! [X] : ~ gt(X,X) )),
% 1.06/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.63 fof(f9,axiom,(
% 1.06/0.63 (! [X,Y] :( ( leq(X,Y)& X != Y )=> gt(Y,X) ) )),
% 1.06/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.63 fof(f10,axiom,(
% 1.06/0.63 (! [X,Y] :( leq(X,pred(Y))<=> gt(Y,X) ) )),
% 1.06/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.63 fof(f53,conjecture,(
% 1.06/0.63 ( ( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1& 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,pv10) )=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) )) ),
% 1.06/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.63 fof(f54,negated_conjecture,(
% 1.06/0.63 ~(( ( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1& 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,pv10) )=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) )) )),
% 1.06/0.63 inference(negated_conjecture,[status(cth)],[f53])).
% 1.06/0.63 fof(f94,plain,(
% 1.06/0.63 ![X0,X1]: (gt(X0,X1)|gt(X1,X0)|X0=X1)),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 1.06/0.63 fof(f95,plain,(
% 1.06/0.63 ![X,Y,Z]: ((~gt(X,Y)|~gt(Y,Z))|gt(X,Z))),
% 1.06/0.63 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.06/0.63 fof(f96,plain,(
% 1.06/0.63 ![X,Z]: ((![Y]: (~gt(X,Y)|~gt(Y,Z)))|gt(X,Z))),
% 1.06/0.63 inference(miniscoping,[status(thm)],[f95])).
% 1.06/0.63 fof(f97,plain,(
% 1.06/0.63 ![X0,X1,X2]: (~gt(X0,X1)|~gt(X1,X2)|gt(X0,X2))),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f96])).
% 1.06/0.63 fof(f98,plain,(
% 1.06/0.63 ![X0]: (~gt(X0,X0))),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f3])).
% 1.06/0.63 fof(f113,plain,(
% 1.06/0.63 ![X,Y]: ((~leq(X,Y)|X=Y)|gt(Y,X))),
% 1.06/0.63 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 1.06/0.63 fof(f114,plain,(
% 1.06/0.63 ![X0,X1]: (~leq(X0,X1)|X0=X1|gt(X1,X0))),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f113])).
% 1.06/0.63 fof(f115,plain,(
% 1.06/0.63 ![X,Y]: ((~leq(X,pred(Y))|gt(Y,X))&(leq(X,pred(Y))|~gt(Y,X)))),
% 1.06/0.63 inference(NNF_transformation,[status(thm)],[f10])).
% 1.06/0.63 fof(f116,plain,(
% 1.06/0.63 (![X,Y]: (~leq(X,pred(Y))|gt(Y,X)))&(![X,Y]: (leq(X,pred(Y))|~gt(Y,X)))),
% 1.06/0.63 inference(miniscoping,[status(thm)],[f115])).
% 1.06/0.63 fof(f118,plain,(
% 1.06/0.63 ![X0,X1]: (leq(X0,pred(X1))|~gt(X1,X0))),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f116])).
% 1.06/0.63 fof(f251,plain,(
% 1.06/0.63 ((((sum(n0,n4,a_select3(q,pv10,tptp_sum_index))=n1&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,pv10))&~sum(n0,n4,a_select3(q,B,tptp_sum_index))=n1)))),
% 1.06/0.63 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 1.06/0.63 fof(f252,plain,(
% 1.06/0.63 (((sum(n0,n4,a_select3(q,pv10,tptp_sum_index))=n1&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,pv10))&~sum(n0,n4,a_select3(q,sK23_skl,tptp_sum_index))=n1)),
% 1.06/0.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(B,sK23_skl)],[f251])).
% 1.06/0.63 fof(f253,plain,(
% 1.06/0.63 sum(n0,n4,a_select3(q,pv10,tptp_sum_index))=n1),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f252])).
% 1.06/0.63 fof(f256,plain,(
% 1.06/0.63 ![X0]: (~leq(n0,X0)|~leq(X0,pred(pv10))|sum(n0,n4,a_select3(q,X0,tptp_sum_index))=n1)),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f252])).
% 1.06/0.63 fof(f257,plain,(
% 1.06/0.63 leq(n0,sK23_skl)),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f252])).
% 1.06/0.63 fof(f258,plain,(
% 1.06/0.63 leq(sK23_skl,pv10)),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f252])).
% 1.06/0.63 fof(f259,plain,(
% 1.06/0.63 ~sum(n0,n4,a_select3(q,sK23_skl,tptp_sum_index))=n1),
% 1.06/0.63 inference(cnf_transformation,[status(thm)],[f252])).
% 1.06/0.63 fof(f363,plain,(
% 1.06/0.63 ![X0,X1]: (~gt(X0,X1)|~gt(X1,X0))),
% 1.06/0.63 inference(resolution,[status(thm)],[f97,f98])).
% 1.06/0.63 fof(f368,plain,(
% 1.06/0.63 ![X0]: (~gt(pv10,X0)|~leq(n0,X0)|sum(n0,n4,a_select3(q,X0,tptp_sum_index))=n1)),
% 1.06/0.63 inference(resolution,[status(thm)],[f118,f256])).
% 1.06/0.63 fof(f380,plain,(
% 1.06/0.63 ![X0]: (~leq(n0,X0)|sum(n0,n4,a_select3(q,X0,tptp_sum_index))=n1|gt(X0,pv10)|X0=pv10)),
% 1.06/0.63 inference(resolution,[status(thm)],[f368,f94])).
% 1.06/0.63 fof(f394,plain,(
% 1.06/0.63 sK23_skl=pv10|gt(pv10,sK23_skl)),
% 1.06/0.63 inference(resolution,[status(thm)],[f114,f258])).
% 1.06/0.63 fof(f494,plain,(
% 1.06/0.63 sum(n0,n4,a_select3(q,sK23_skl,tptp_sum_index))=n1|gt(sK23_skl,pv10)|sK23_skl=pv10),
% 1.06/0.63 inference(resolution,[status(thm)],[f380,f257])).
% 1.06/0.63 fof(f501,plain,(
% 1.06/0.63 gt(sK23_skl,pv10)|sK23_skl=pv10),
% 1.06/0.63 inference(forward_subsumption_resolution,[status(thm)],[f494,f259])).
% 1.06/0.63 fof(f503,plain,(
% 1.06/0.63 sK23_skl=pv10|~gt(sK23_skl,pv10)),
% 1.06/0.63 inference(resolution,[status(thm)],[f394,f363])).
% 1.06/0.63 fof(f506,plain,(
% 1.06/0.63 ~sum(n0,n4,a_select3(q,pv10,tptp_sum_index))=n1),
% 1.06/0.63 inference(backward_demodulation,[status(thm)],[f512,f259])).
% 1.06/0.63 fof(f512,plain,(
% 1.06/0.63 sK23_skl=pv10),
% 1.06/0.63 inference(forward_subsumption_resolution,[status(thm)],[f503,f501])).
% 1.06/0.63 fof(f513,plain,(
% 1.06/0.63 ~n1=n1),
% 1.06/0.63 inference(forward_demodulation,[status(thm)],[f253,f506])).
% 1.06/0.63 fof(f514,plain,(
% 1.06/0.63 $false),
% 1.06/0.63 inference(trivial_equality_resolution,[status(thm)],[f513])).
% 1.06/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 1.06/0.66 % Elapsed time: 0.290323 seconds
% 1.06/0.66 % CPU time: 1.999616 seconds
% 1.06/0.66 % Total memory used: 130.052 MB
% 1.06/0.66 % Net memory used: 125.820 MB
%------------------------------------------------------------------------------