%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV152+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 : n019.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 02:50:09 PM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV152+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:33:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.44 % Refutation found
% 0.09/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.44 fof(f3,axiom,(
% 0.09/0.44 (! [X] : ~ gt(X,X) )),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f5,axiom,(
% 0.09/0.44 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f8,axiom,(
% 0.09/0.44 (! [X,Y] :( gt(Y,X)=> leq(X,Y) ) )),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f11,axiom,(
% 0.09/0.44 (! [X] : gt(succ(X),X) )),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f28,axiom,(
% 0.09/0.44 succ(tptp_minus_1) = n0 ),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f53,conjecture,(
% 0.09/0.44 (! [A] :( ( leq(n0,A)& leq(A,tptp_minus_1) )=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ) )),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f54,negated_conjecture,(
% 0.09/0.44 ~((! [A] :( ( leq(n0,A)& leq(A,tptp_minus_1) )=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ) ))),
% 0.09/0.44 inference(negated_conjecture,[status(cth)],[f53])).
% 0.09/0.44 fof(f78,axiom,(
% 0.09/0.44 (! [X] :( ( leq(n0,X)& leq(X,n0) )=> X = n0 ) )),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f91,plain,(
% 0.09/0.44 ![X0]: (~gt(X0,X0))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.44 fof(f93,plain,(
% 0.09/0.44 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.44 fof(f94,plain,(
% 0.09/0.44 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.09/0.44 inference(miniscoping,[status(thm)],[f93])).
% 0.09/0.44 fof(f95,plain,(
% 0.09/0.44 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f94])).
% 0.09/0.44 fof(f104,plain,(
% 0.09/0.44 ![X,Y]: (~gt(Y,X)|leq(X,Y))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.44 fof(f105,plain,(
% 0.09/0.44 ![X0,X1]: (~gt(X0,X1)|leq(X1,X0))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f104])).
% 0.09/0.44 fof(f112,plain,(
% 0.09/0.44 ![X0]: (gt(succ(X0),X0))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.44 fof(f199,plain,(
% 0.09/0.44 succ(tptp_minus_1)=n0),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.44 fof(f244,plain,(
% 0.09/0.44 (?[A]: ((leq(n0,A)&leq(A,tptp_minus_1))&~sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.09/0.44 fof(f245,plain,(
% 0.09/0.44 ((leq(n0,sK23_skl)&leq(sK23_skl,tptp_minus_1))&~sum(n0,n4,a_select3(q,sK23_skl,tptp_sum_index))=n1)),
% 0.09/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(A,sK23_skl)],[f244])).
% 0.09/0.44 fof(f246,plain,(
% 0.09/0.44 leq(n0,sK23_skl)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f245])).
% 0.09/0.44 fof(f247,plain,(
% 0.09/0.44 leq(sK23_skl,tptp_minus_1)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f245])).
% 0.09/0.44 fof(f274,plain,(
% 0.09/0.44 ![X]: ((~leq(n0,X)|~leq(X,n0))|X=n0)),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f78])).
% 0.09/0.44 fof(f275,plain,(
% 0.09/0.44 ![X0]: (~leq(n0,X0)|~leq(X0,n0)|X0=n0)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f274])).
% 0.09/0.44 fof(f325,plain,(
% 0.09/0.44 ![X0]: (~leq(X0,sK23_skl)|leq(X0,tptp_minus_1))),
% 0.09/0.44 inference(resolution,[status(thm)],[f95,f247])).
% 0.09/0.44 fof(f366,plain,(
% 0.09/0.44 leq(n0,tptp_minus_1)),
% 0.09/0.44 inference(resolution,[status(thm)],[f325,f246])).
% 0.09/0.44 fof(f458,definition,(
% 0.09/0.44 sQ8_spl <=> (tptp_minus_1=n0)),
% 0.09/0.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.44 fof(f459,plain,(
% 0.09/0.44 tptp_minus_1=n0|~sQ8_spl),
% 0.09/0.44 inference(component_clause,[status(thm)],[f458])).
% 0.09/0.44 fof(f512,plain,(
% 0.09/0.44 ~leq(tptp_minus_1,n0)|tptp_minus_1=n0),
% 0.09/0.44 inference(resolution,[status(thm)],[f275,f366])).
% 0.09/0.44 fof(f516,definition,(
% 0.09/0.44 sQ25_spl <=> (leq(tptp_minus_1,n0))),
% 0.09/0.44 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.09/0.44 fof(f518,plain,(
% 0.09/0.44 ~leq(tptp_minus_1,n0)|sQ25_spl),
% 0.09/0.44 inference(component_clause,[status(thm)],[f516])).
% 0.09/0.44 fof(f519,plain,(
% 0.09/0.44 ~sQ25_spl|sQ8_spl),
% 0.09/0.44 inference(split_clause,[status(thm)],[f512,f516,f458])).
% 0.09/0.44 fof(f734,plain,(
% 0.09/0.44 gt(n0,tptp_minus_1)),
% 0.09/0.44 inference(paramodulation,[status(thm)],[f199,f112])).
% 0.09/0.44 fof(f1163,plain,(
% 0.09/0.44 leq(tptp_minus_1,n0)),
% 0.09/0.44 inference(resolution,[status(thm)],[f734,f105])).
% 0.09/0.44 fof(f1167,plain,(
% 0.09/0.44 $false|sQ25_spl),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1163,f518])).
% 0.09/0.44 fof(f1168,plain,(
% 0.09/0.44 sQ25_spl),
% 0.09/0.44 inference(contradiction_clause,[status(thm)],[f1167])).
% 0.09/0.44 fof(f1169,plain,(
% 0.09/0.44 gt(tptp_minus_1,tptp_minus_1)|~sQ8_spl),
% 0.09/0.44 inference(backward_demodulation,[status(thm)],[f459,f734])).
% 0.09/0.44 fof(f1181,plain,(
% 0.09/0.44 $false|~sQ8_spl),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1169,f91])).
% 0.09/0.44 fof(f1182,plain,(
% 0.09/0.44 ~sQ8_spl),
% 0.09/0.44 inference(contradiction_clause,[status(thm)],[f1181])).
% 0.09/0.44 fof(f1183,plain,(
% 0.09/0.44 $false),
% 0.09/0.44 inference(sat_refutation,[status(thm)],[f519,f1168,f1182])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.47 % Elapsed time: 0.094436 seconds
% 0.09/0.47 % CPU time: 0.321380 seconds
% 0.09/0.47 % Total memory used: 56.805 MB
% 0.09/0.47 % Net memory used: 56.293 MB
%------------------------------------------------------------------------------