%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV181+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 : n016.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 0.13s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV181+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 : n016.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 08:38:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.45 % Refutation found
% 0.13/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.45 fof(f2,axiom,(
% 0.13/0.45 (! [X,Y,Z] :( ( gt(X,Y)& gt(Y,Z) )=> gt(X,Z) ) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f3,axiom,(
% 0.13/0.45 (! [X] : ~ gt(X,X) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f9,axiom,(
% 0.13/0.45 (! [X,Y] :( ( leq(X,Y)& X != Y )=> gt(Y,X) ) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f53,conjecture,(
% 0.13/0.45 ( ( leq(tptp_float_0_001,pv76)& leq(n1,loopcounter)& gt(n1,loopcounter)& (! [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_select3(center_init,C,n0) = init ))& ( gt(loopcounter,n0)=> (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(mu_init,D) = init ) ))& ( gt(loopcounter,n0)=> (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(rho_init,E) = init ) ))& ( gt(loopcounter,n0)=> (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select2(sigma_init,F) = init ) )) )=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(muold_init,G) = init ) )) ),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f54,negated_conjecture,(
% 0.13/0.45 ~(( ( leq(tptp_float_0_001,pv76)& leq(n1,loopcounter)& gt(n1,loopcounter)& (! [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_select3(center_init,C,n0) = init ))& ( gt(loopcounter,n0)=> (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(mu_init,D) = init ) ))& ( gt(loopcounter,n0)=> (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(rho_init,E) = init ) ))& ( gt(loopcounter,n0)=> (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select2(sigma_init,F) = init ) )) )=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(muold_init,G) = init ) )) )),
% 0.13/0.45 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.45 fof(f95,plain,(
% 0.13/0.45 ![X,Y,Z]: ((~gt(X,Y)|~gt(Y,Z))|gt(X,Z))),
% 0.13/0.45 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.45 fof(f96,plain,(
% 0.13/0.45 ![X,Z]: ((![Y]: (~gt(X,Y)|~gt(Y,Z)))|gt(X,Z))),
% 0.13/0.45 inference(miniscoping,[status(thm)],[f95])).
% 0.13/0.45 fof(f97,plain,(
% 0.13/0.45 ![X0,X1,X2]: (~gt(X0,X1)|~gt(X1,X2)|gt(X0,X2))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f96])).
% 0.13/0.45 fof(f98,plain,(
% 0.13/0.45 ![X0]: (~gt(X0,X0))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.45 fof(f113,plain,(
% 0.13/0.45 ![X,Y]: ((~leq(X,Y)|X=Y)|gt(Y,X))),
% 0.13/0.45 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.45 fof(f114,plain,(
% 0.13/0.45 ![X0,X1]: (~leq(X0,X1)|X0=X1|gt(X1,X0))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f113])).
% 0.13/0.45 fof(f251,plain,(
% 0.13/0.45 ((((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))>(n1,loopcounter))&(![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_select3(center_init,C,n0)=init)))&(~gt(loopcounter,n0)|(![D]: ((~leq(n0,D)|~leq(D,n4))|a_select2(mu_init,D)=init))))&(~gt(loopcounter,n0)|(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(rho_init,E)=init))))&(~gt(loopcounter,n0)|(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select2(sigma_init,F)=init))))&(?[G]: ((leq(n0,G)&leq(G,n4))&~a_select2(muold_init,G)=init)))),
% 0.13/0.45 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.45 fof(f252,plain,(
% 0.13/0.45 (((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))>(n1,loopcounter))&(![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_select3(center_init,C,n0)=init)))&(~gt(loopcounter,n0)|(![D]: ((~leq(n0,D)|~leq(D,n4))|a_select2(mu_init,D)=init))))&(~gt(loopcounter,n0)|(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(rho_init,E)=init))))&(~gt(loopcounter,n0)|(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select2(sigma_init,F)=init))))&((leq(n0,sK23_skl)&leq(sK23_skl,n4))&~a_select2(muold_init,sK23_skl)=init)),
% 0.13/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(G,sK23_skl)],[f251])).
% 0.13/0.45 fof(f254,plain,(
% 0.13/0.45 leq(n1,loopcounter)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.45 fof(f255,plain,(
% 0.13/0.45 gt(n1,loopcounter)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f252])).
% 0.13/0.46 fof(f381,plain,(
% 0.13/0.46 ![X0,X1]: (~gt(X0,X1)|~gt(X1,X0))),
% 0.13/0.46 inference(resolution,[status(thm)],[f97,f98])).
% 0.13/0.46 fof(f436,plain,(
% 0.13/0.46 n1=loopcounter|gt(loopcounter,n1)),
% 0.13/0.46 inference(resolution,[status(thm)],[f114,f254])).
% 0.13/0.46 fof(f455,definition,(
% 0.13/0.46 sQ16_spl <=> (n1=loopcounter)),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f456,plain,(
% 0.13/0.46 n1=loopcounter|~sQ16_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f455])).
% 0.13/0.46 fof(f458,definition,(
% 0.13/0.46 sQ17_spl <=> (gt(loopcounter,n1))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f459,plain,(
% 0.13/0.46 gt(loopcounter,n1)|~sQ17_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f458])).
% 0.13/0.46 fof(f461,plain,(
% 0.13/0.46 sQ16_spl|sQ17_spl),
% 0.13/0.46 inference(split_clause,[status(thm)],[f436,f455,f458])).
% 0.13/0.46 fof(f474,plain,(
% 0.13/0.46 gt(loopcounter,loopcounter)|~sQ16_spl),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f456,f255])).
% 0.13/0.46 fof(f787,plain,(
% 0.13/0.46 ~gt(n1,loopcounter)|~sQ17_spl),
% 0.13/0.46 inference(resolution,[status(thm)],[f381,f459])).
% 0.13/0.46 fof(f819,plain,(
% 0.13/0.46 $false|~sQ17_spl),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f787,f255])).
% 0.13/0.46 fof(f820,plain,(
% 0.13/0.46 ~sQ17_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f819])).
% 0.13/0.46 fof(f822,plain,(
% 0.13/0.46 $false|~sQ16_spl),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f474,f98])).
% 0.13/0.46 fof(f823,plain,(
% 0.13/0.46 ~sQ16_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f822])).
% 0.13/0.46 fof(f824,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(sat_refutation,[status(thm)],[f461,f820,f823])).
% 0.13/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.47 % Elapsed time: 0.110405 seconds
% 0.13/0.47 % CPU time: 0.523579 seconds
% 0.13/0.47 % Total memory used: 114.046 MB
% 0.13/0.47 % Net memory used: 113.122 MB
%------------------------------------------------------------------------------