%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV180+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 : n003.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 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV180+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
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:35:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f53,conjecture,(
% 0.10/0.41 ( ( leq(n0,pv86)& leq(pv86,n4)& (! [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,n4) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,n4) )=> 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(muold_init,J) = init ))& (! [K] :( ( leq(n0,K)& leq(K,n4) )=> a_select2(rhoold_init,K) = init ))& (! [L] :( ( leq(n0,L)& leq(L,n4) )=> a_select2(sigmaold_init,L) = init ) ))=> a_select2(muold_init,pv86) = init ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f54,negated_conjecture,(
% 0.10/0.41 ~(( ( leq(n0,pv86)& leq(pv86,n4)& (! [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,n4) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,n4) )=> 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(muold_init,J) = init ))& (! [K] :( ( leq(n0,K)& leq(K,n4) )=> a_select2(rhoold_init,K) = init ))& (! [L] :( ( leq(n0,L)& leq(L,n4) )=> a_select2(sigmaold_init,L) = init ) ))=> a_select2(muold_init,pv86) = init ) )),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f53])).
% 0.10/0.41 fof(f251,plain,(
% 0.10/0.41 (((((((((((((leq(n0,pv86)&leq(pv86,n4))&(![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,n4))|a_select2(mu_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,n4))|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(muold_init,J)=init)))&(![K]: ((~leq(n0,K)|~leq(K,n4))|a_select2(rhoold_init,K)=init)))&(![L]: ((~leq(n0,L)|~leq(L,n4))|a_select2(sigmaold_init,L)=init)))&~a_select2(muold_init,pv86)=init)),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.10/0.41 fof(f252,plain,(
% 0.10/0.41 leq(n0,pv86)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.10/0.41 fof(f253,plain,(
% 0.10/0.41 leq(pv86,n4)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.10/0.41 fof(f262,plain,(
% 0.10/0.41 ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select2(muold_init,X0)=init)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.10/0.41 fof(f265,plain,(
% 0.10/0.41 ~a_select2(muold_init,pv86)=init),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f251])).
% 0.10/0.41 fof(f460,plain,(
% 0.10/0.41 ~leq(n0,pv86)|a_select2(muold_init,pv86)=init),
% 0.10/0.41 inference(resolution,[status(thm)],[f262,f253])).
% 0.10/0.41 fof(f465,plain,(
% 0.10/0.41 ~init=init),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f466,f265])).
% 0.10/0.41 fof(f466,plain,(
% 0.10/0.41 a_select2(muold_init,pv86)=init),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f460,f252])).
% 0.10/0.41 fof(f467,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f465])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.078682 seconds
% 0.10/0.45 % CPU time: 0.335678 seconds
% 0.10/0.45 % Total memory used: 57.903 MB
% 0.10/0.45 % Net memory used: 57.242 MB
%------------------------------------------------------------------------------