%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV196+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:50:13 PM UTC 2026
% Result : Theorem 0.08s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV196+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 08:34:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.48 % Refutation found
% 0.08/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.48 fof(f2,axiom,(
% 0.08/0.48 (! [X,Y,Z] :( ( gt(X,Y)& gt(Y,Z) )=> gt(X,Z) ) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f3,axiom,(
% 0.08/0.48 (! [X] : ~ gt(X,X) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f4,axiom,(
% 0.08/0.48 (! [X] : leq(X,X) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f8,axiom,(
% 0.08/0.48 (! [X,Y] :( gt(Y,X)=> leq(X,Y) ) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f9,axiom,(
% 0.08/0.48 (! [X,Y] :( ( leq(X,Y)& X != Y )=> gt(Y,X) ) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f53,conjecture,(
% 0.08/0.48 ( ( a_select2(rho_defuse,n0) = use& a_select2(rho_defuse,n1) = use& a_select2(rho_defuse,n2) = use& a_select2(sigma_defuse,n0) = use& a_select2(sigma_defuse,n1) = use& a_select2(sigma_defuse,n2) = use& a_select2(sigma_defuse,n3) = use& a_select2(sigma_defuse,n4) = use& a_select2(sigma_defuse,n5) = use& a_select3(u_defuse,n0,n0) = use& a_select3(u_defuse,n1,n0) = use& a_select3(u_defuse,n2,n0) = use& a_select2(xinit_defuse,n3) = use& a_select2(xinit_defuse,n4) = use& a_select2(xinit_defuse,n5) = use& a_select2(xinit_mean_defuse,n0) = use& a_select2(xinit_mean_defuse,n1) = use& a_select2(xinit_mean_defuse,n2) = use& a_select2(xinit_mean_defuse,n3) = use& a_select2(xinit_mean_defuse,n4) = use& a_select2(xinit_mean_defuse,n5) = use& a_select2(xinit_noise_defuse,n0) = use& a_select2(xinit_noise_defuse,n1) = use& a_select2(xinit_noise_defuse,n2) = use& a_select2(xinit_noise_defuse,n3) = use& a_select2(xinit_noise_defuse,n4) = use& a_select2(xinit_noise_defuse,n5) = use& leq(n0,pv5)& leq(pv5,n0)& leq(pv5,n998)& gt(pv5,n0)& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n2)& leq(B,pred(pv5)) )=> a_select3(u_defuse,A,B) = use ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,pred(pv5)) )=> a_select3(z_defuse,C,D) = use ) ))=> (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n2)& leq(F,pv5) )=> ( ( ~ ( n0 = E& pv5 = F )& ~ ( n1 = E& pv5 = F )& ~ ( n2 = E& pv5 = F ) )=> a_select3(z_defuse,E,F) = use ) ) )) ),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f54,negated_conjecture,(
% 0.08/0.48 ~(( ( a_select2(rho_defuse,n0) = use& a_select2(rho_defuse,n1) = use& a_select2(rho_defuse,n2) = use& a_select2(sigma_defuse,n0) = use& a_select2(sigma_defuse,n1) = use& a_select2(sigma_defuse,n2) = use& a_select2(sigma_defuse,n3) = use& a_select2(sigma_defuse,n4) = use& a_select2(sigma_defuse,n5) = use& a_select3(u_defuse,n0,n0) = use& a_select3(u_defuse,n1,n0) = use& a_select3(u_defuse,n2,n0) = use& a_select2(xinit_defuse,n3) = use& a_select2(xinit_defuse,n4) = use& a_select2(xinit_defuse,n5) = use& a_select2(xinit_mean_defuse,n0) = use& a_select2(xinit_mean_defuse,n1) = use& a_select2(xinit_mean_defuse,n2) = use& a_select2(xinit_mean_defuse,n3) = use& a_select2(xinit_mean_defuse,n4) = use& a_select2(xinit_mean_defuse,n5) = use& a_select2(xinit_noise_defuse,n0) = use& a_select2(xinit_noise_defuse,n1) = use& a_select2(xinit_noise_defuse,n2) = use& a_select2(xinit_noise_defuse,n3) = use& a_select2(xinit_noise_defuse,n4) = use& a_select2(xinit_noise_defuse,n5) = use& leq(n0,pv5)& leq(pv5,n0)& leq(pv5,n998)& gt(pv5,n0)& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n2)& leq(B,pred(pv5)) )=> a_select3(u_defuse,A,B) = use ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,pred(pv5)) )=> a_select3(z_defuse,C,D) = use ) ))=> (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n2)& leq(F,pv5) )=> ( ( ~ ( n0 = E& pv5 = F )& ~ ( n1 = E& pv5 = F )& ~ ( n2 = E& pv5 = F ) )=> a_select3(z_defuse,E,F) = use ) ) )) )),
% 0.08/0.48 inference(negated_conjecture,[status(cth)],[f53])).
% 0.08/0.48 fof(f69,axiom,(
% 0.08/0.48 gt(n2,n0) ),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f95,plain,(
% 0.08/0.48 ![X,Y,Z]: ((~gt(X,Y)|~gt(Y,Z))|gt(X,Z))),
% 0.08/0.48 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.48 fof(f96,plain,(
% 0.08/0.48 ![X,Z]: ((![Y]: (~gt(X,Y)|~gt(Y,Z)))|gt(X,Z))),
% 0.08/0.48 inference(miniscoping,[status(thm)],[f95])).
% 0.08/0.48 fof(f97,plain,(
% 0.08/0.48 ![X0,X1,X2]: (~gt(X0,X1)|~gt(X1,X2)|gt(X0,X2))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f96])).
% 0.08/0.48 fof(f98,plain,(
% 0.08/0.48 ![X0]: (~gt(X0,X0))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.48 fof(f99,plain,(
% 0.08/0.48 ![X0]: (leq(X0,X0))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.48 fof(f111,plain,(
% 0.08/0.48 ![X,Y]: (~gt(Y,X)|leq(X,Y))),
% 0.08/0.48 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.08/0.48 fof(f112,plain,(
% 0.08/0.48 ![X0,X1]: (~gt(X0,X1)|leq(X1,X0))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f111])).
% 0.08/0.48 fof(f113,plain,(
% 0.08/0.48 ![X,Y]: ((~leq(X,Y)|X=Y)|gt(Y,X))),
% 0.08/0.48 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.08/0.48 fof(f114,plain,(
% 0.08/0.48 ![X0,X1]: (~leq(X0,X1)|X0=X1|gt(X1,X0))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f113])).
% 0.08/0.48 fof(f251,plain,(
% 0.08/0.48 (((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))>(pv5,n0))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,pred(pv5)))|a_select3(u_defuse,A,B)=use)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,pred(pv5)))|a_select3(z_defuse,C,D)=use)))&(?[E,F]: ((((leq(n0,E)&leq(n0,F))&leq(E,n2))&leq(F,pv5))&((((~n0=E|~pv5=F)&(~n1=E|~pv5=F))&(~n2=E|~pv5=F))&~a_select3(z_defuse,E,F)=use))))),
% 0.08/0.48 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.08/0.48 fof(f252,plain,(
% 0.08/0.48 ((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))>(pv5,n0))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,pred(pv5)))|a_select3(u_defuse,A,B)=use)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,pred(pv5)))|a_select3(z_defuse,C,D)=use)))&((((leq(n0,sK23_skl)&leq(n0,sK24_skl))&leq(sK23_skl,n2))&leq(sK24_skl,pv5))&((((~n0=sK23_skl|~pv5=sK24_skl)&(~n1=sK23_skl|~pv5=sK24_skl))&(~n2=sK23_skl|~pv5=sK24_skl))&~a_select3(z_defuse,sK23_skl,sK24_skl)=use))),
% 0.08/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f251])).
% 0.08/0.48 fof(f280,plain,(
% 0.08/0.48 leq(n0,pv5)),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.08/0.48 fof(f281,plain,(
% 0.08/0.48 leq(pv5,n0)),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.08/0.48 fof(f283,plain,(
% 0.08/0.48 gt(pv5,n0)),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.08/0.48 fof(f286,plain,(
% 0.08/0.48 leq(n0,sK23_skl)),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.08/0.48 fof(f308,plain,(
% 0.08/0.48 gt(n2,n0)),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f69])).
% 0.08/0.48 fof(f396,plain,(
% 0.08/0.48 ![X0,X1]: (~gt(X0,X1)|~gt(X1,X0))),
% 0.08/0.48 inference(resolution,[status(thm)],[f97,f98])).
% 0.08/0.48 fof(f402,plain,(
% 0.08/0.48 pv5=n0|gt(n0,pv5)),
% 0.08/0.48 inference(resolution,[status(thm)],[f114,f281])).
% 0.08/0.48 fof(f405,plain,(
% 0.08/0.48 n0=pv5|gt(pv5,n0)),
% 0.08/0.48 inference(resolution,[status(thm)],[f114,f280])).
% 0.08/0.48 fof(f424,definition,(
% 0.08/0.48 sQ8_spl <=> (pv5=n0)),
% 0.08/0.48 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.48 fof(f425,plain,(
% 0.08/0.48 pv5=n0|~sQ8_spl),
% 0.08/0.48 inference(component_clause,[status(thm)],[f424])).
% 0.08/0.48 fof(f427,definition,(
% 0.08/0.48 sQ9_spl <=> (gt(n0,pv5))),
% 0.08/0.48 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.48 fof(f428,plain,(
% 0.08/0.48 gt(n0,pv5)|~sQ9_spl),
% 0.08/0.48 inference(component_clause,[status(thm)],[f427])).
% 0.08/0.48 fof(f430,plain,(
% 0.08/0.48 sQ8_spl|sQ9_spl),
% 0.08/0.48 inference(split_clause,[status(thm)],[f402,f424,f427])).
% 0.08/0.48 fof(f442,definition,(
% 0.08/0.48 sQ13_spl <=> (gt(pv5,n0))),
% 0.08/0.48 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.08/0.48 fof(f443,plain,(
% 0.08/0.48 gt(pv5,n0)|~sQ13_spl),
% 0.08/0.48 inference(component_clause,[status(thm)],[f442])).
% 0.08/0.48 fof(f445,plain,(
% 0.08/0.48 sQ8_spl|sQ13_spl),
% 0.08/0.48 inference(split_clause,[status(thm)],[f405,f424,f442])).
% 0.08/0.48 fof(f476,plain,(
% 0.08/0.48 gt(n0,n0)|~sQ8_spl),
% 0.08/0.48 inference(backward_demodulation,[status(thm)],[f425,f283])).
% 0.08/0.48 fof(f478,plain,(
% 0.08/0.48 $false|~sQ8_spl),
% 0.08/0.48 inference(forward_subsumption_resolution,[status(thm)],[f476,f98])).
% 0.08/0.48 fof(f479,plain,(
% 0.08/0.48 ~sQ8_spl),
% 0.08/0.48 inference(contradiction_clause,[status(thm)],[f478])).
% 0.08/0.48 fof(f484,definition,(
% 0.08/0.48 sQ14_spl <=> (leq(n0,sK23_skl))),
% 0.08/0.48 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.08/0.48 fof(f486,plain,(
% 0.08/0.48 ~leq(n0,sK23_skl)|sQ14_spl),
% 0.08/0.48 inference(component_clause,[status(thm)],[f484])).
% 0.08/0.48 fof(f491,definition,(
% 0.08/0.48 sQ16_spl <=> (leq(n0,n2))),
% 0.08/0.48 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/0.48 fof(f493,plain,(
% 0.08/0.48 ~leq(n0,n2)|sQ16_spl),
% 0.08/0.48 inference(component_clause,[status(thm)],[f491])).
% 0.08/0.48 fof(f498,plain,(
% 0.08/0.48 $false|sQ14_spl),
% 0.08/0.48 inference(forward_subsumption_resolution,[status(thm)],[f486,f286])).
% 0.08/0.48 fof(f499,plain,(
% 0.08/0.48 sQ14_spl),
% 0.08/0.48 inference(contradiction_clause,[status(thm)],[f498])).
% 0.08/0.48 fof(f512,plain,(
% 0.08/0.48 ~gt(n2,n0)|sQ16_spl),
% 0.08/0.48 inference(resolution,[status(thm)],[f493,f112])).
% 0.08/0.48 fof(f514,plain,(
% 0.08/0.48 $false|sQ16_spl),
% 0.08/0.48 inference(forward_subsumption_resolution,[status(thm)],[f512,f308])).
% 0.08/0.48 fof(f515,plain,(
% 0.08/0.48 sQ16_spl),
% 0.08/0.48 inference(contradiction_clause,[status(thm)],[f514])).
% 0.08/0.48 fof(f522,definition,(
% 0.08/0.48 sQ18_spl <=> (leq(n0,n0))),
% 0.08/0.48 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.08/0.48 fof(f524,plain,(
% 0.08/0.48 ~leq(n0,n0)|sQ18_spl),
% 0.08/0.48 inference(component_clause,[status(thm)],[f522])).
% 0.08/0.48 fof(f536,plain,(
% 0.08/0.48 $false|sQ18_spl),
% 0.08/0.48 inference(forward_subsumption_resolution,[status(thm)],[f524,f99])).
% 0.08/0.48 fof(f537,plain,(
% 0.08/0.48 sQ18_spl),
% 0.08/0.48 inference(contradiction_clause,[status(thm)],[f536])).
% 0.08/0.48 fof(f539,plain,(
% 0.08/0.48 ~gt(n0,pv5)|~sQ13_spl),
% 0.08/0.48 inference(resolution,[status(thm)],[f396,f443])).
% 0.08/0.48 fof(f573,plain,(
% 0.08/0.48 $false|~sQ9_spl|~sQ13_spl),
% 0.08/0.48 inference(forward_subsumption_resolution,[status(thm)],[f539,f428])).
% 0.08/0.48 fof(f574,plain,(
% 0.08/0.48 ~sQ9_spl|~sQ13_spl),
% 0.08/0.48 inference(contradiction_clause,[status(thm)],[f573])).
% 0.08/0.48 fof(f575,plain,(
% 0.08/0.48 $false),
% 0.08/0.48 inference(sat_refutation,[status(thm)],[f430,f445,f479,f499,f515,f537,f574])).
% 0.08/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.50 % Elapsed time: 0.135042 seconds
% 0.08/0.50 % CPU time: 0.860824 seconds
% 0.08/0.50 % Total memory used: 119.952 MB
% 0.08/0.50 % Net memory used: 118.429 MB
%------------------------------------------------------------------------------