%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV067+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 : 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 02:50:01 PM UTC 2026
% Result : Theorem 0.15s 5.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV067+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
% 0.09/5.38 % Computer : n013.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Mon Sep 21 08:29:11 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.15/5.44 % Refutation found
% 0.15/5.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.44 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.44 fof(f5,axiom,(
% 0.15/5.44 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f8,axiom,(
% 0.15/5.44 (! [X,Y] :( gt(Y,X)=> leq(X,Y) ) )),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f53,conjecture,(
% 0.15/5.44 ( ( leq(n0,pv10)& leq(n1,pv63)& leq(pv10,minus(n135300,n1))& leq(pv63,minus(n5,n1)) )=> ( leq(n0,pv10)& leq(n0,pv63)& leq(pv10,minus(n135300,n1))& leq(pv63,minus(n5,n1))& ( ~ gt(a_select3(q,pv10,pv63),pv78)=> ( leq(n0,pv10)& leq(pv10,minus(n135300,n1)) ) )& ( gt(a_select3(q,pv10,pv63),pv78)=> ( leq(n0,pv10)& leq(pv10,minus(n135300,n1)) ) ) ) ) ),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f54,negated_conjecture,(
% 0.15/5.44 ~(( ( leq(n0,pv10)& leq(n1,pv63)& leq(pv10,minus(n135300,n1))& leq(pv63,minus(n5,n1)) )=> ( leq(n0,pv10)& leq(n0,pv63)& leq(pv10,minus(n135300,n1))& leq(pv63,minus(n5,n1))& ( ~ gt(a_select3(q,pv10,pv63),pv78)=> ( leq(n0,pv10)& leq(pv10,minus(n135300,n1)) ) )& ( gt(a_select3(q,pv10,pv63),pv78)=> ( leq(n0,pv10)& leq(pv10,minus(n135300,n1)) ) ) ) ) )),
% 0.15/5.44 inference(negated_conjecture,[status(cth)],[f53])).
% 0.15/5.44 fof(f68,axiom,(
% 0.15/5.44 gt(n1,n0) ),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f100,plain,(
% 0.15/5.44 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.15/5.44 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/5.44 fof(f101,plain,(
% 0.15/5.44 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.15/5.44 inference(miniscoping,[status(thm)],[f100])).
% 0.15/5.44 fof(f102,plain,(
% 0.15/5.44 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f101])).
% 0.15/5.44 fof(f111,plain,(
% 0.15/5.44 ![X,Y]: (~gt(Y,X)|leq(X,Y))),
% 0.15/5.44 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/5.44 fof(f112,plain,(
% 0.15/5.44 ![X0,X1]: (~gt(X0,X1)|leq(X1,X0))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f111])).
% 0.15/5.44 fof(f251,plain,(
% 0.15/5.44 ((((leq(n0,pv10)&leq(n1,pv63))&leq(pv10,minus(n135300,n1)))&leq(pv63,minus(n5,n1)))&(((((~leq(n0,pv10)|~leq(n0,pv63))|~leq(pv10,minus(n135300,n1)))|~leq(pv63,minus(n5,n1)))|(~gt(a_select3(q,pv10,pv63),pv78)&(~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))))|(gt(a_select3(q,pv10,pv63),pv78)&(~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))))))),
% 0.15/5.44 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.15/5.44 fof(f252,definition,(
% 0.15/5.44 sP3_prd<=>(~gt(a_select3(q,pv10,pv63),pv78)&(~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))))),
% 0.15/5.44 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.15/5.44 fof(f253,plain,(
% 0.15/5.44 (((leq(n0,pv10)&leq(n1,pv63))&leq(pv10,minus(n135300,n1)))&leq(pv63,minus(n5,n1)))&(((((~leq(n0,pv10)|~leq(n0,pv63))|~leq(pv10,minus(n135300,n1)))|~leq(pv63,minus(n5,n1)))|sP3_prd)|(gt(a_select3(q,pv10,pv63),pv78)&(~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))))),
% 0.15/5.44 inference(formula_renaming,[status(thm)],[f251,f252])).
% 0.15/5.44 fof(f254,plain,(
% 0.15/5.44 leq(n0,pv10)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f253])).
% 0.15/5.44 fof(f255,plain,(
% 0.15/5.44 leq(n1,pv63)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f253])).
% 0.15/5.44 fof(f256,plain,(
% 0.15/5.44 leq(pv10,minus(n135300,n1))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f253])).
% 0.15/5.44 fof(f257,plain,(
% 0.15/5.44 leq(pv63,minus(n5,n1))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f253])).
% 0.15/5.44 fof(f259,plain,(
% 0.15/5.44 ~leq(n0,pv10)|~leq(n0,pv63)|~leq(pv10,minus(n135300,n1))|~leq(pv63,minus(n5,n1))|sP3_prd|~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f253])).
% 0.15/5.44 fof(f273,plain,(
% 0.15/5.44 gt(n1,n0)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f68])).
% 0.15/5.44 fof(f333,plain,(
% 0.15/5.44 (~sP3_prd|(~gt(a_select3(q,pv10,pv63),pv78)&(~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))))&(sP3_prd|(gt(a_select3(q,pv10,pv63),pv78)|(leq(n0,pv10)&leq(pv10,minus(n135300,n1)))))),
% 0.15/5.44 inference(NNF_transformation,[status(thm)],[f252])).
% 0.15/5.44 fof(f335,plain,(
% 0.15/5.44 ~sP3_prd|~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f333])).
% 0.15/5.44 fof(f348,plain,(
% 0.15/5.44 ~leq(n0,pv10)|~leq(n0,pv63)|~leq(pv10,minus(n135300,n1))|~leq(pv63,minus(n5,n1))|sP3_prd),
% 0.15/5.44 inference(duplicate_literals_removal,[status(thm)],[f259])).
% 0.15/5.44 fof(f366,plain,(
% 0.15/5.44 ~leq(n0,pv63)|~leq(pv10,minus(n135300,n1))|~leq(pv63,minus(n5,n1))|sP3_prd),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f348,f254])).
% 0.15/5.44 fof(f368,plain,(
% 0.15/5.44 ![X0]: (~leq(pv10,minus(n135300,n1))|~leq(pv63,minus(n5,n1))|sP3_prd|~leq(n0,X0)|~leq(X0,pv63))),
% 0.15/5.44 inference(resolution,[status(thm)],[f366,f102])).
% 0.15/5.44 fof(f370,plain,(
% 0.15/5.44 ![X0]: (~leq(pv63,minus(n5,n1))|sP3_prd|~leq(n0,X0)|~leq(X0,pv63))),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f368,f256])).
% 0.15/5.44 fof(f470,plain,(
% 0.15/5.44 ~sP3_prd|~leq(pv10,minus(n135300,n1))),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f335,f254])).
% 0.15/5.44 fof(f688,plain,(
% 0.15/5.44 ![X0]: (sP3_prd|~leq(n0,X0)|~leq(X0,pv63))),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f370,f257])).
% 0.15/5.44 fof(f696,plain,(
% 0.15/5.44 sP3_prd|~leq(n0,n1)),
% 0.15/5.44 inference(resolution,[status(thm)],[f688,f255])).
% 0.15/5.44 fof(f738,plain,(
% 0.15/5.44 sP3_prd|~gt(n1,n0)),
% 0.15/5.44 inference(resolution,[status(thm)],[f696,f112])).
% 0.15/5.44 fof(f740,plain,(
% 0.15/5.44 sP3_prd),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f738,f273])).
% 0.15/5.44 fof(f764,plain,(
% 0.15/5.44 ~leq(pv10,minus(n135300,n1))),
% 0.15/5.44 inference(backward_subsumption_resolution,[status(thm)],[f470,f740])).
% 0.15/5.44 fof(f766,plain,(
% 0.15/5.44 $false),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f764,f256])).
% 0.15/5.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.47 % Elapsed time: 0.085554 seconds
% 0.15/5.47 % CPU time: 0.450843 seconds
% 0.15/5.47 % Total memory used: 113.387 MB
% 0.15/5.47 % Net memory used: 112.636 MB
%------------------------------------------------------------------------------