%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV178+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 : n009.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 02:50:11 PM UTC 2026
% Result : Theorem 0.12s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV178+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
% 0.08/0.35 % Computer : n009.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 08:33:57 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.50 % Refutation found
% 0.12/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.50 fof(f26,axiom,(
% 0.12/0.50 (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f27,axiom,(
% 0.12/0.50 (! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body) )),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f53,conjecture,(
% 0.12/0.50 ( ( leq(n0,pv40)& leq(pv40,n4)& gt(loopcounter,n1)& (! [A] :( ( leq(n0,A)& leq(A,n135299) )=> (! [B] :( ( leq(n0,B)& leq(B,n4) )=> a_select3(q_init,A,B) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select2(rho_init,C) = init ))& (! [D] :( ( leq(n0,D)& leq(D,pred(pv40)) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,pred(pv40)) )=> a_select2(sigma_init,E) = init ))& (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select3(center_init,F,n0) = init ))& ( gt(loopcounter,n1)=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(muold_init,G) = init ) ))& ( gt(loopcounter,n1)=> (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(rhoold_init,H) = init ) ))& ( gt(loopcounter,n1)=> (! [I] :( ( leq(n0,I)& leq(I,n4) )=> a_select2(sigmaold_init,I) = init ) )) )=> (! [J] :( ( leq(n0,J)& leq(J,n4) )=> a_select2(sigmaold_init,J) = init ) )) ),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f54,negated_conjecture,(
% 0.12/0.50 ~(( ( leq(n0,pv40)& leq(pv40,n4)& gt(loopcounter,n1)& (! [A] :( ( leq(n0,A)& leq(A,n135299) )=> (! [B] :( ( leq(n0,B)& leq(B,n4) )=> a_select3(q_init,A,B) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select2(rho_init,C) = init ))& (! [D] :( ( leq(n0,D)& leq(D,pred(pv40)) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,pred(pv40)) )=> a_select2(sigma_init,E) = init ))& (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select3(center_init,F,n0) = init ))& ( gt(loopcounter,n1)=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(muold_init,G) = init ) ))& ( gt(loopcounter,n1)=> (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(rhoold_init,H) = init ) ))& ( gt(loopcounter,n1)=> (! [I] :( ( leq(n0,I)& leq(I,n4) )=> a_select2(sigmaold_init,I) = init ) )) )=> (! [J] :( ( leq(n0,J)& leq(J,n4) )=> a_select2(sigmaold_init,J) = init ) )) )),
% 0.12/0.50 inference(negated_conjecture,[status(cth)],[f53])).
% 0.12/0.50 fof(f204,plain,(
% 0.12/0.50 ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.50 fof(f205,plain,(
% 0.12/0.50 ![X0]: (tptp_float_0_0=sum(n0,tptp_minus_1,X0))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.50 fof(f251,plain,(
% 0.12/0.50 (((((((((((leq(n0,pv40)&leq(pv40,n4))>(loopcounter,n1))&(![A]: ((~leq(n0,A)|~leq(A,n135299))|(![B]: ((~leq(n0,B)|~leq(B,n4))|a_select3(q_init,A,B)=init)))))&(![C]: ((~leq(n0,C)|~leq(C,n4))|a_select2(rho_init,C)=init)))&(![D]: ((~leq(n0,D)|~leq(D,pred(pv40)))|a_select2(mu_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,pred(pv40)))|a_select2(sigma_init,E)=init)))&(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select3(center_init,F,n0)=init)))&(~gt(loopcounter,n1)|(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select2(muold_init,G)=init))))&(~gt(loopcounter,n1)|(![H]: ((~leq(n0,H)|~leq(H,n4))|a_select2(rhoold_init,H)=init))))&(~gt(loopcounter,n1)|(![I]: ((~leq(n0,I)|~leq(I,n4))|a_select2(sigmaold_init,I)=init))))&(?[J]: ((leq(n0,J)&leq(J,n4))&~a_select2(sigmaold_init,J)=init)))),
% 0.12/0.50 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.12/0.50 fof(f252,plain,(
% 0.12/0.50 ((((((((((leq(n0,pv40)&leq(pv40,n4))>(loopcounter,n1))&(![A]: ((~leq(n0,A)|~leq(A,n135299))|(![B]: ((~leq(n0,B)|~leq(B,n4))|a_select3(q_init,A,B)=init)))))&(![C]: ((~leq(n0,C)|~leq(C,n4))|a_select2(rho_init,C)=init)))&(![D]: ((~leq(n0,D)|~leq(D,pred(pv40)))|a_select2(mu_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,pred(pv40)))|a_select2(sigma_init,E)=init)))&(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select3(center_init,F,n0)=init)))&(~gt(loopcounter,n1)|(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select2(muold_init,G)=init))))&(~gt(loopcounter,n1)|(![H]: ((~leq(n0,H)|~leq(H,n4))|a_select2(rhoold_init,H)=init))))&(~gt(loopcounter,n1)|(![I]: ((~leq(n0,I)|~leq(I,n4))|a_select2(sigmaold_init,I)=init))))&((leq(n0,sK23_skl)&leq(sK23_skl,n4))&~a_select2(sigmaold_init,sK23_skl)=init)),
% 0.12/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(J,sK23_skl)],[f251])).
% 0.12/0.50 fof(f255,plain,(
% 0.12/0.50 gt(loopcounter,n1)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f252])).
% 0.12/0.50 fof(f263,plain,(
% 0.12/0.50 ![X0]: (~gt(loopcounter,n1)|~leq(n0,X0)|~leq(X0,n4)|a_select2(sigmaold_init,X0)=init)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f252])).
% 0.12/0.50 fof(f264,plain,(
% 0.12/0.50 leq(n0,sK23_skl)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f252])).
% 0.12/0.50 fof(f265,plain,(
% 0.12/0.50 leq(sK23_skl,n4)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f252])).
% 0.12/0.50 fof(f266,plain,(
% 0.12/0.50 ~a_select2(sigmaold_init,sK23_skl)=init),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f252])).
% 0.12/0.50 fof(f348,plain,(
% 0.12/0.50 tptp_float_0_0=n0),
% 0.12/0.50 inference(backward_demodulation,[status(thm)],[f205,f204])).
% 0.12/0.50 fof(f365,plain,(
% 0.12/0.50 ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select2(sigmaold_init,X0)=init)),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f263,f255])).
% 0.12/0.50 fof(f406,plain,(
% 0.12/0.50 leq(tptp_float_0_0,sK23_skl)),
% 0.12/0.50 inference(backward_demodulation,[status(thm)],[f348,f264])).
% 0.12/0.50 fof(f407,plain,(
% 0.12/0.50 ![X0]: (~leq(tptp_float_0_0,X0)|~leq(X0,n4)|a_select2(sigmaold_init,X0)=init)),
% 0.12/0.50 inference(backward_demodulation,[status(thm)],[f348,f365])).
% 0.12/0.50 fof(f645,plain,(
% 0.12/0.50 ~leq(tptp_float_0_0,sK23_skl)|a_select2(sigmaold_init,sK23_skl)=init),
% 0.12/0.50 inference(resolution,[status(thm)],[f407,f265])).
% 0.12/0.50 fof(f650,plain,(
% 0.12/0.50 ~init=init),
% 0.12/0.50 inference(backward_demodulation,[status(thm)],[f651,f266])).
% 0.12/0.50 fof(f651,plain,(
% 0.12/0.50 a_select2(sigmaold_init,sK23_skl)=init),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f645,f406])).
% 0.12/0.50 fof(f653,plain,(
% 0.12/0.50 $false),
% 0.12/0.50 inference(trivial_equality_resolution,[status(thm)],[f650])).
% 0.12/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.53 % Elapsed time: 0.171814 seconds
% 0.12/0.53 % CPU time: 1.076393 seconds
% 0.12/0.53 % Total memory used: 121.295 MB
% 0.12/0.53 % Net memory used: 118.945 MB
%------------------------------------------------------------------------------