%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV189+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 : 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 02:50:12 PM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV189+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
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:34:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (! [X] : ~ gt(X,X) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,axiom,(
% 0.12/0.40 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,axiom,(
% 0.12/0.40 (! [X,Y] :( gt(Y,X)=> leq(X,Y) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f53,conjecture,(
% 0.12/0.40 ( (! [A] :( ( leq(n0,A)& leq(A,n4) )=> a_select3(center_init,A,n0) = init ))=> (! [B] :( ( leq(n0,B)& leq(B,tptp_minus_1) )=> (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select3(q_init,B,C) = init ) )) )) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f54,negated_conjecture,(
% 0.12/0.40 ~(( (! [A] :( ( leq(n0,A)& leq(A,n4) )=> a_select3(center_init,A,n0) = init ))=> (! [B] :( ( leq(n0,B)& leq(B,tptp_minus_1) )=> (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select3(q_init,B,C) = init ) )) )) )),
% 0.12/0.40 inference(negated_conjecture,[status(cth)],[f53])).
% 0.12/0.40 fof(f58,axiom,(
% 0.12/0.40 gt(n0,tptp_minus_1) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f78,axiom,(
% 0.12/0.40 (! [X] :( ( leq(n0,X)& leq(X,n0) )=> X = n0 ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f91,plain,(
% 0.12/0.40 ![X0]: (~gt(X0,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f93,plain,(
% 0.12/0.40 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f94,plain,(
% 0.12/0.40 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f93])).
% 0.12/0.40 fof(f95,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f94])).
% 0.12/0.40 fof(f104,plain,(
% 0.12/0.40 ![X,Y]: (~gt(Y,X)|leq(X,Y))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f105,plain,(
% 0.12/0.40 ![X0,X1]: (~gt(X0,X1)|leq(X1,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f104])).
% 0.12/0.40 fof(f244,plain,(
% 0.12/0.40 ((![A]: ((~leq(n0,A)|~leq(A,n4))|a_select3(center_init,A,n0)=init))&(?[B]: ((leq(n0,B)&leq(B,tptp_minus_1))&(?[C]: ((leq(n0,C)&leq(C,n4))&~a_select3(q_init,B,C)=init)))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.12/0.40 fof(f245,plain,(
% 0.12/0.40 (![A]: ((~leq(n0,A)|~leq(A,n4))|a_select3(center_init,A,n0)=init))&((leq(n0,sK23_skl)&leq(sK23_skl,tptp_minus_1))&((leq(n0,sK24_skl)&leq(sK24_skl,n4))&~a_select3(q_init,sK23_skl,sK24_skl)=init))),
% 0.12/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(B,sK23_skl),skolemize(C,sK24_skl)],[f244])).
% 0.12/0.40 fof(f247,plain,(
% 0.12/0.40 leq(n0,sK23_skl)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.12/0.40 fof(f248,plain,(
% 0.12/0.40 leq(sK23_skl,tptp_minus_1)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.12/0.40 fof(f255,plain,(
% 0.12/0.40 gt(n0,tptp_minus_1)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.12/0.40 fof(f277,plain,(
% 0.12/0.40 ![X]: ((~leq(n0,X)|~leq(X,n0))|X=n0)),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f78])).
% 0.12/0.40 fof(f278,plain,(
% 0.12/0.40 ![X0]: (~leq(n0,X0)|~leq(X0,n0)|X0=n0)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f277])).
% 0.12/0.40 fof(f355,plain,(
% 0.12/0.40 ![X0]: (~leq(X0,sK23_skl)|leq(X0,tptp_minus_1))),
% 0.12/0.40 inference(resolution,[status(thm)],[f95,f248])).
% 0.12/0.40 fof(f414,plain,(
% 0.12/0.40 leq(n0,tptp_minus_1)),
% 0.12/0.40 inference(resolution,[status(thm)],[f355,f247])).
% 0.12/0.40 fof(f464,plain,(
% 0.12/0.40 ~leq(tptp_minus_1,n0)|tptp_minus_1=n0),
% 0.12/0.40 inference(resolution,[status(thm)],[f278,f414])).
% 0.12/0.40 fof(f470,definition,(
% 0.12/0.40 sQ14_spl <=> (leq(tptp_minus_1,n0))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f472,plain,(
% 0.12/0.40 ~leq(tptp_minus_1,n0)|sQ14_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f470])).
% 0.12/0.40 fof(f473,definition,(
% 0.12/0.40 sQ15_spl <=> (tptp_minus_1=n0)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f474,plain,(
% 0.12/0.40 tptp_minus_1=n0|~sQ15_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f473])).
% 0.12/0.40 fof(f476,plain,(
% 0.12/0.40 ~sQ14_spl|sQ15_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f464,f470,f473])).
% 0.12/0.40 fof(f584,plain,(
% 0.12/0.40 leq(tptp_minus_1,n0)),
% 0.12/0.40 inference(resolution,[status(thm)],[f105,f255])).
% 0.12/0.40 fof(f602,plain,(
% 0.12/0.40 $false|sQ14_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f584,f472])).
% 0.12/0.40 fof(f603,plain,(
% 0.12/0.40 sQ14_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f602])).
% 0.12/0.40 fof(f624,plain,(
% 0.12/0.40 gt(tptp_minus_1,tptp_minus_1)|~sQ15_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f474,f255])).
% 0.12/0.40 fof(f633,plain,(
% 0.12/0.40 $false|~sQ15_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f624,f91])).
% 0.12/0.40 fof(f634,plain,(
% 0.12/0.40 ~sQ15_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f633])).
% 0.12/0.40 fof(f635,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f476,f603,f634])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.064553 seconds
% 0.12/0.44 % CPU time: 0.188968 seconds
% 0.12/0.44 % Total memory used: 109.028 MB
% 0.12/0.44 % Net memory used: 108.737 MB
%------------------------------------------------------------------------------