%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV606+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 02:33:47 PM UTC 2026
% Result : Theorem 10.33s 1.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV606+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.40 % Computer : n018.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 21 07:31:31 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.29/0.61 % Drodi V4.1.1
% 10.33/1.94 % Refutation found
% 10.33/1.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.33/1.94 % SZS output start CNFRefutation for theBenchmark
% 10.33/1.94 fof(f1138,axiom,(
% 10.33/1.94 (! [V0__n] :( cCoq_2eNumbers_2eBinNums_2eZ___24t(V0__n)=> (! [V1__m] :( cCoq_2eNumbers_2eBinNums_2eZ___24t(V1__m)=> ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V1__m))=> ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V0__n,V0__n),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V1__m,V1__m)))=> p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(V0__n,V1__m)) ) ) ) )) )),
% 10.33/1.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.33/1.94 fof(f1728,conjecture,(
% 10.33/1.94 (! [V0__n] :( cCoq_2eNumbers_2eBinNums_2eZ___24t(V0__n)=> (! [V1__m] :( cCoq_2eNumbers_2eBinNums_2eZ___24t(V1__m)=> ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V0__n))=> ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V1__m))=> ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V1__m,V1__m),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V0__n,V0__n)))=> p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(V1__m,V0__n)) ) ) ) ) )) )),
% 10.33/1.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.33/1.94 fof(f1729,negated_conjecture,(
% 10.33/1.94 ~((! [V0__n] :( cCoq_2eNumbers_2eBinNums_2eZ___24t(V0__n)=> (! [V1__m] :( cCoq_2eNumbers_2eBinNums_2eZ___24t(V1__m)=> ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V0__n))=> ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V1__m))=> ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V1__m,V1__m),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V0__n,V0__n)))=> p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(V1__m,V0__n)) ) ) ) ) )) ))),
% 10.33/1.94 inference(negated_conjecture,[status(cth)],[f1728])).
% 10.33/1.94 fof(f5639,plain,(
% 10.33/1.94 ![V0__n]: (~cCoq_2eNumbers_2eBinNums_2eZ___24t(V0__n)|(![V1__m]: (~cCoq_2eNumbers_2eBinNums_2eZ___24t(V1__m)|(~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V1__m))|(~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V0__n,V0__n),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V1__m,V1__m)))|p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(V0__n,V1__m)))))))),
% 10.33/1.94 inference(pre_NNF_transformation,[status(thm)],[f1138])).
% 10.33/1.94 fof(f5640,plain,(
% 10.33/1.94 ![X0,X1]: (~cCoq_2eNumbers_2eBinNums_2eZ___24t(X0)|~cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)|~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))|~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1)))|p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X0,X1)))),
% 10.33/1.94 inference(cnf_transformation,[status(thm)],[f5639])).
% 10.33/1.94 fof(f7049,plain,(
% 10.33/1.94 (?[V0__n]: (cCoq_2eNumbers_2eBinNums_2eZ___24t(V0__n)&(?[V1__m]: (cCoq_2eNumbers_2eBinNums_2eZ___24t(V1__m)&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V0__n))&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,V1__m))&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V1__m,V1__m),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(V0__n,V0__n)))&~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(V1__m,V0__n)))))))))),
% 10.33/1.94 inference(pre_NNF_transformation,[status(thm)],[f1729])).
% 10.33/1.94 fof(f7050,plain,(
% 10.33/1.94 (cCoq_2eNumbers_2eBinNums_2eZ___24t(sK436_skl)&(cCoq_2eNumbers_2eBinNums_2eZ___24t(sK437_skl)&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK436_skl))&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK437_skl))&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK437_skl,sK437_skl),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK436_skl,sK436_skl)))&~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK437_skl,sK436_skl)))))))),
% 10.33/1.94 inference(skolemize,[status(esa),new_symbols(skolem,[sK436_skl,sK437_skl]),skolemize(V0__n,sK436_skl),skolemize(V1__m,sK437_skl)],[f7049])).
% 10.33/1.94 fof(f7051,plain,(
% 10.33/1.94 cCoq_2eNumbers_2eBinNums_2eZ___24t(sK436_skl)),
% 10.33/1.94 inference(cnf_transformation,[status(thm)],[f7050])).
% 10.33/1.98 fof(f7052,plain,(
% 10.33/1.98 cCoq_2eNumbers_2eBinNums_2eZ___24t(sK437_skl)),
% 10.33/1.98 inference(cnf_transformation,[status(thm)],[f7050])).
% 10.33/1.98 fof(f7053,plain,(
% 10.33/1.98 p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK436_skl))),
% 10.33/1.98 inference(cnf_transformation,[status(thm)],[f7050])).
% 10.33/1.98 fof(f7055,plain,(
% 10.33/1.98 p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK437_skl,sK437_skl),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK436_skl,sK436_skl)))),
% 10.33/1.98 inference(cnf_transformation,[status(thm)],[f7050])).
% 10.33/1.98 fof(f7056,plain,(
% 10.33/1.98 ~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK437_skl,sK436_skl))),
% 10.33/1.98 inference(cnf_transformation,[status(thm)],[f7050])).
% 10.33/1.98 fof(f9551,definition,(
% 10.33/1.98 sQ90_spl <=> (cCoq_2eNumbers_2eBinNums_2eZ___24t(sK437_skl))),
% 10.33/1.98 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 10.33/1.98 fof(f9553,plain,(
% 10.33/1.98 ~cCoq_2eNumbers_2eBinNums_2eZ___24t(sK437_skl)|sQ90_spl),
% 10.33/1.98 inference(component_clause,[status(thm)],[f9551])).
% 10.33/1.98 fof(f9558,definition,(
% 10.33/1.98 sQ92_spl <=> (cCoq_2eNumbers_2eBinNums_2eZ___24t(sK436_skl))),
% 10.33/1.98 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 10.33/1.98 fof(f9560,plain,(
% 10.33/1.98 ~cCoq_2eNumbers_2eBinNums_2eZ___24t(sK436_skl)|sQ92_spl),
% 10.33/1.98 inference(component_clause,[status(thm)],[f9558])).
% 10.33/1.98 fof(f9567,plain,(
% 10.33/1.98 $false|sQ92_spl),
% 10.33/1.98 inference(forward_subsumption_resolution,[status(thm)],[f9560,f7051])).
% 10.33/1.98 fof(f9568,plain,(
% 10.33/1.98 sQ92_spl),
% 10.33/1.98 inference(contradiction_clause,[status(thm)],[f9567])).
% 10.33/1.98 fof(f9569,plain,(
% 10.33/1.98 $false|sQ90_spl),
% 10.33/1.98 inference(forward_subsumption_resolution,[status(thm)],[f9553,f7052])).
% 10.33/1.98 fof(f9570,plain,(
% 10.33/1.98 sQ90_spl),
% 10.33/1.98 inference(contradiction_clause,[status(thm)],[f9569])).
% 10.33/1.98 fof(f9731,definition,(
% 10.33/1.98 sQ113_spl <=> (p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK437_skl,sK436_skl)))),
% 10.33/1.98 introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 10.33/1.98 fof(f9732,plain,(
% 10.33/1.98 p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK437_skl,sK436_skl))|~sQ113_spl),
% 10.33/1.98 inference(component_clause,[status(thm)],[f9731])).
% 10.33/1.98 fof(f14927,definition,(
% 10.33/1.98 sQ759_spl <=> (p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK436_skl)))),
% 10.33/1.98 introduced(definition,[new_symbols(definition,[sQ759_spl])],[split_symbol_definition])).
% 10.33/1.98 fof(f14929,plain,(
% 10.33/1.98 ~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK436_skl))|sQ759_spl),
% 10.33/1.98 inference(component_clause,[status(thm)],[f14927])).
% 10.33/1.98 fof(f15789,plain,(
% 10.33/1.98 ~cCoq_2eNumbers_2eBinNums_2eZ___24t(sK437_skl)|~cCoq_2eNumbers_2eBinNums_2eZ___24t(sK436_skl)|~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK436_skl))|p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK437_skl,sK436_skl))),
% 10.33/1.98 inference(resolution,[status(thm)],[f5640,f7055])).
% 10.33/1.98 fof(f15790,plain,(
% 10.33/1.98 ~sQ90_spl|~sQ92_spl|~sQ759_spl|sQ113_spl),
% 10.33/1.98 inference(split_clause,[status(thm)],[f15789,f9551,f9558,f14927,f9731])).
% 10.33/1.98 fof(f15791,plain,(
% 10.33/1.98 $false|~sQ113_spl),
% 10.33/1.98 inference(forward_subsumption_resolution,[status(thm)],[f9732,f7056])).
% 10.33/1.98 fof(f15792,plain,(
% 10.33/1.98 ~sQ113_spl),
% 10.33/1.98 inference(contradiction_clause,[status(thm)],[f15791])).
% 10.33/1.98 fof(f15793,plain,(
% 10.33/1.98 $false|sQ759_spl),
% 10.33/1.98 inference(forward_subsumption_resolution,[status(thm)],[f14929,f7053])).
% 10.33/1.98 fof(f15794,plain,(
% 10.33/1.98 sQ759_spl),
% 10.33/1.98 inference(contradiction_clause,[status(thm)],[f15793])).
% 10.33/1.98 fof(f15795,plain,(
% 10.33/1.98 $false),
% 10.33/1.98 inference(sat_refutation,[status(thm)],[f9568,f9570,f15790,f15792,f15794])).
% 10.33/1.98 % SZS output end CNFRefutation for theBenchmark.p
% 10.33/1.99 % Elapsed time: 1.579279 seconds
% 10.33/1.99 % CPU time: 10.779053 seconds
% 10.33/1.99 % Total memory used: 451.307 MB
% 10.33/1.99 % Net memory used: 437.391 MB
%------------------------------------------------------------------------------