%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT068+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 : n016.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 01:25:53 PM UTC 2026
% Result : Theorem 4.55s 1.29s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT068+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 01:29:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.40 % Drodi V4.1.1
% 4.55/1.29 % Refutation found
% 4.55/1.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.55/1.29 % SZS output start CNFRefutation for theBenchmark
% 4.55/1.29 fof(f1,axiom,(
% 4.55/1.29 (! [X] : ~ less(X,X) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f2,axiom,(
% 4.55/1.29 (! [X,Y,Z] :( ( less(X,Y)& less(Y,Z) )=> less(X,Z) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f4,axiom,(
% 4.55/1.29 (! [X,Y] :( leq(X,Y)<=> ( less(X,Y)| X = Y ) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f5,axiom,(
% 4.55/1.29 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )=> X = Y ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f7,axiom,(
% 4.55/1.29 (! [X,Y,Z] :( ( leq(X,Y)& less(Y,Z) )=> less(X,Z) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f9,axiom,(
% 4.55/1.29 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f10,axiom,(
% 4.55/1.29 (! [X,Y] :( less(X,Y)=> (? [Z] :( less(X,Z)& less(Z,Y) ) )) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f11,axiom,(
% 4.55/1.29 (! [X,A,B] :( in_closed(X,A,B)<=> ( leq(A,X)& leq(X,B) ) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f15,axiom,(
% 4.55/1.29 (! [I1lo,I1hi,I2lo,I2hi] :( axis_conflict(I1lo,I1hi,I2lo,I2hi)<=> ~ (? [X] :( in_closed(X,I1lo,I1hi)& in_closed(X,I2lo,I2hi) ) )) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f18,axiom,(
% 4.55/1.29 is_verdict(conflict) ),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f20,axiom,(
% 4.55/1.29 is_verdict(unknown) ),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f25,axiom,(
% 4.55/1.29 (! [V1,V2] :( ( is_verdict(V1)& is_verdict(V2)& ( V1 = conflict| V2 = conflict ) )=> box_verdict(V1,V2) = conflict ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f29,axiom,(
% 4.55/1.29 (! [V,InfD,SupD] :( ( leq(InfD,V)& leq(V,SupD) )=> completion_compatible(V,InfD,SupD) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f32,axiom,(
% 4.55/1.29 (! [U,V,InfD,SupD] :( ( leq(InfD,U)& leq(U,SupD)& less(U,V)& leq(V,SupD) )=> completion_conflict(U,V,InfD,SupD) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f39,axiom,(
% 4.55/1.29 (! [U,L] :( prec(U,L,c,c)<=> less(U,L) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f42,axiom,(
% 4.55/1.29 (! [U,L] :( prec(U,L,o,o)<=> leq(U,L) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f43,axiom,(
% 4.55/1.29 (! [L1,U1,CL1,CU1,L2,U2,CL2,CU2] :( disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)<=> ( prec(U1,L2,CU1,CL2)| prec(U2,L1,CU2,CL1) ) ) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f55,hypothesis,(
% 4.55/1.29 less(n3,n5) ),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f56,hypothesis,(
% 4.55/1.29 less(n5,n10) ),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f58,hypothesis,(
% 4.55/1.29 (! [X] : leq(ninf,X) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f59,hypothesis,(
% 4.55/1.29 (! [X] : leq(X,nsup) )),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f60,conjecture,(
% 4.55/1.29 ( axis_conflict(n0,n3,n10,n20)& (? [Z] :( less(n5,Z)& less(Z,n10) ))& ~ disjoint(n5,nsup,o,c,ninf,n10,c,o)& completion_conflict(n5,n10,ninf,nsup)& completion_compatible(n5,ninf,nsup)& box_verdict(conflict,unknown) = conflict ) ),
% 4.55/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.55/1.29 fof(f61,negated_conjecture,(
% 4.55/1.29 ~(( axis_conflict(n0,n3,n10,n20)& (? [Z] :( less(n5,Z)& less(Z,n10) ))& ~ disjoint(n5,nsup,o,c,ninf,n10,c,o)& completion_conflict(n5,n10,ninf,nsup)& completion_compatible(n5,ninf,nsup)& box_verdict(conflict,unknown) = conflict ) )),
% 4.55/1.29 inference(negated_conjecture,[status(cth)],[f60])).
% 4.55/1.29 fof(f62,plain,(
% 4.55/1.29 ![X0]: (~less(X0,X0))),
% 4.55/1.29 inference(cnf_transformation,[status(thm)],[f1])).
% 4.55/1.29 fof(f63,plain,(
% 4.55/1.29 ![X,Y,Z]: ((~less(X,Y)|~less(Y,Z))|less(X,Z))),
% 4.55/1.29 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 4.55/1.29 fof(f64,plain,(
% 4.55/1.29 ![X,Z]: ((![Y]: (~less(X,Y)|~less(Y,Z)))|less(X,Z))),
% 4.55/1.29 inference(miniscoping,[status(thm)],[f63])).
% 4.55/1.29 fof(f65,plain,(
% 4.55/1.29 ![X0,X1,X2]: (~less(X0,X1)|~less(X1,X2)|less(X0,X2))),
% 4.55/1.29 inference(cnf_transformation,[status(thm)],[f64])).
% 4.55/1.29 fof(f67,plain,(
% 4.55/1.29 ![X,Y]: ((~leq(X,Y)|(less(X,Y)|X=Y))&(leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 4.55/1.29 inference(NNF_transformation,[status(thm)],[f4])).
% 4.55/1.29 fof(f68,plain,(
% 4.55/1.29 (![X,Y]: (~leq(X,Y)|(less(X,Y)|X=Y)))&(![X,Y]: (leq(X,Y)|(~less(X,Y)&~X=Y)))),
% 4.55/1.29 inference(miniscoping,[status(thm)],[f67])).
% 4.55/1.29 fof(f70,plain,(
% 4.55/1.29 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 4.55/1.29 inference(cnf_transformation,[status(thm)],[f68])).
% 4.55/1.29 fof(f72,plain,(
% 4.55/1.29 ![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y)),
% 4.55/1.29 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 4.55/1.29 fof(f73,plain,(
% 4.55/1.29 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 4.55/1.29 inference(cnf_transformation,[status(thm)],[f72])).
% 4.55/1.29 fof(f76,plain,(
% 4.55/1.29 ![X,Y,Z]: ((~leq(X,Y)|~less(Y,Z))|less(X,Z))),
% 4.55/1.29 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 4.55/1.29 fof(f77,plain,(
% 4.55/1.29 ![X,Z]: ((![Y]: (~leq(X,Y)|~less(Y,Z)))|less(X,Z))),
% 4.55/1.29 inference(miniscoping,[status(thm)],[f76])).
% 4.55/1.29 fof(f78,plain,(
% 4.55/1.29 ![X0,X1,X2]: (~leq(X0,X1)|~less(X1,X2)|less(X0,X2))),
% 4.55/1.29 inference(cnf_transformation,[status(thm)],[f77])).
% 4.55/1.29 fof(f82,plain,(
% 4.55/1.29 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 4.55/1.29 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 4.55/1.29 fof(f83,plain,(
% 4.55/1.29 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 4.55/1.29 inference(miniscoping,[status(thm)],[f82])).
% 4.55/1.29 fof(f84,plain,(
% 4.55/1.29 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 4.55/1.29 inference(cnf_transformation,[status(thm)],[f83])).
% 4.55/1.29 fof(f85,plain,(
% 4.55/1.29 ![X,Y]: (~less(X,Y)|(?[Z]: (less(X,Z)&less(Z,Y))))),
% 4.55/1.29 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 4.55/1.29 fof(f86,plain,(
% 4.55/1.29 ![X,Y]: (~less(X,Y)|(less(X,sK0_skl(Y,X))&less(sK0_skl(Y,X),Y)))),
% 4.55/1.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f85])).
% 4.55/1.29 fof(f87,plain,(
% 4.55/1.29 ![X0,X1]: (~less(X0,X1)|less(X0,sK0_skl(X1,X0)))),
% 4.55/1.29 inference(cnf_transformation,[status(thm)],[f86])).
% 4.55/1.29 fof(f88,plain,(
% 4.55/1.29 ![X0,X1]: (~less(X0,X1)|less(sK0_skl(X1,X0),X1))),
% 4.55/1.29 inference(cnf_transformation,[status(thm)],[f86])).
% 4.55/1.29 fof(f89,plain,(
% 4.55/1.29 ![X,A,B]: ((~in_closed(X,A,B)|(leq(A,X)&leq(X,B)))&(in_closed(X,A,B)|(~leq(A,X)|~leq(X,B))))),
% 4.55/1.30 inference(NNF_transformation,[status(thm)],[f11])).
% 4.55/1.30 fof(f90,plain,(
% 4.55/1.30 (![X,A,B]: (~in_closed(X,A,B)|(leq(A,X)&leq(X,B))))&(![X,A,B]: (in_closed(X,A,B)|(~leq(A,X)|~leq(X,B))))),
% 4.55/1.30 inference(miniscoping,[status(thm)],[f89])).
% 4.55/1.30 fof(f91,plain,(
% 4.55/1.30 ![X0,X1,X2]: (~in_closed(X0,X1,X2)|leq(X1,X0))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f90])).
% 4.55/1.30 fof(f92,plain,(
% 4.55/1.30 ![X0,X1,X2]: (~in_closed(X0,X1,X2)|leq(X0,X2))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f90])).
% 4.55/1.30 fof(f109,plain,(
% 4.55/1.30 ![I1lo,I1hi,I2lo,I2hi]: (axis_conflict(I1lo,I1hi,I2lo,I2hi)<=>(![X]: (~in_closed(X,I1lo,I1hi)|~in_closed(X,I2lo,I2hi))))),
% 4.55/1.30 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 4.55/1.30 fof(f110,plain,(
% 4.55/1.30 ![I1lo,I1hi,I2lo,I2hi]: ((~axis_conflict(I1lo,I1hi,I2lo,I2hi)|(![X]: (~in_closed(X,I1lo,I1hi)|~in_closed(X,I2lo,I2hi))))&(axis_conflict(I1lo,I1hi,I2lo,I2hi)|(?[X]: (in_closed(X,I1lo,I1hi)&in_closed(X,I2lo,I2hi)))))),
% 4.55/1.30 inference(NNF_transformation,[status(thm)],[f109])).
% 4.55/1.30 fof(f111,plain,(
% 4.55/1.30 (![I1lo,I1hi,I2lo,I2hi]: (~axis_conflict(I1lo,I1hi,I2lo,I2hi)|(![X]: (~in_closed(X,I1lo,I1hi)|~in_closed(X,I2lo,I2hi)))))&(![I1lo,I1hi,I2lo,I2hi]: (axis_conflict(I1lo,I1hi,I2lo,I2hi)|(?[X]: (in_closed(X,I1lo,I1hi)&in_closed(X,I2lo,I2hi)))))),
% 4.55/1.30 inference(miniscoping,[status(thm)],[f110])).
% 4.55/1.30 fof(f112,plain,(
% 4.55/1.30 (![I1lo,I1hi,I2lo,I2hi]: (~axis_conflict(I1lo,I1hi,I2lo,I2hi)|(![X]: (~in_closed(X,I1lo,I1hi)|~in_closed(X,I2lo,I2hi)))))&(![I1lo,I1hi,I2lo,I2hi]: (axis_conflict(I1lo,I1hi,I2lo,I2hi)|(in_closed(sK1_skl(I2hi,I2lo,I1hi,I1lo),I1lo,I1hi)&in_closed(sK1_skl(I2hi,I2lo,I1hi,I1lo),I2lo,I2hi))))),
% 4.55/1.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl(I2hi,I2lo,I1hi,I1lo))],[f111])).
% 4.55/1.30 fof(f114,plain,(
% 4.55/1.30 ![X0,X1,X2,X3]: (axis_conflict(X0,X1,X2,X3)|in_closed(sK1_skl(X3,X2,X1,X0),X0,X1))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f112])).
% 4.55/1.30 fof(f115,plain,(
% 4.55/1.30 ![X0,X1,X2,X3]: (axis_conflict(X0,X1,X2,X3)|in_closed(sK1_skl(X3,X2,X1,X0),X2,X3))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f112])).
% 4.55/1.30 fof(f129,plain,(
% 4.55/1.30 is_verdict(conflict)),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f18])).
% 4.55/1.30 fof(f131,plain,(
% 4.55/1.30 is_verdict(unknown)),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f20])).
% 4.55/1.30 fof(f137,plain,(
% 4.55/1.30 ![V1,V2]: (((~is_verdict(V1)|~is_verdict(V2))|(~V1=conflict&~V2=conflict))|box_verdict(V1,V2)=conflict)),
% 4.55/1.30 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 4.55/1.30 fof(f138,plain,(
% 4.55/1.30 ![X0,X1]: (~is_verdict(X0)|~is_verdict(X1)|~X0=conflict|box_verdict(X0,X1)=conflict)),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f137])).
% 4.55/1.30 fof(f147,plain,(
% 4.55/1.30 ![V,InfD,SupD]: ((~leq(InfD,V)|~leq(V,SupD))|completion_compatible(V,InfD,SupD))),
% 4.55/1.30 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 4.55/1.30 fof(f148,plain,(
% 4.55/1.30 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|completion_compatible(X1,X0,X2))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f147])).
% 4.55/1.30 fof(f154,plain,(
% 4.55/1.30 ![U,V,InfD,SupD]: ((((~leq(InfD,U)|~leq(U,SupD))|~less(U,V))|~leq(V,SupD))|completion_conflict(U,V,InfD,SupD))),
% 4.55/1.30 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 4.55/1.30 fof(f155,plain,(
% 4.55/1.30 ![X0,X1,X2,X3]: (~leq(X0,X1)|~leq(X1,X2)|~less(X1,X3)|~leq(X3,X2)|completion_conflict(X1,X3,X0,X2))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f154])).
% 4.55/1.30 fof(f166,plain,(
% 4.55/1.30 ![U,L]: ((~prec(U,L,c,c)|less(U,L))&(prec(U,L,c,c)|~less(U,L)))),
% 4.55/1.30 inference(NNF_transformation,[status(thm)],[f39])).
% 4.55/1.30 fof(f167,plain,(
% 4.55/1.30 (![U,L]: (~prec(U,L,c,c)|less(U,L)))&(![U,L]: (prec(U,L,c,c)|~less(U,L)))),
% 4.55/1.30 inference(miniscoping,[status(thm)],[f166])).
% 4.55/1.30 fof(f168,plain,(
% 4.55/1.30 ![X0,X1]: (~prec(X0,X1,c,c)|less(X0,X1))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f167])).
% 4.55/1.30 fof(f178,plain,(
% 4.55/1.30 ![U,L]: ((~prec(U,L,o,o)|leq(U,L))&(prec(U,L,o,o)|~leq(U,L)))),
% 4.55/1.30 inference(NNF_transformation,[status(thm)],[f42])).
% 4.55/1.30 fof(f179,plain,(
% 4.55/1.30 (![U,L]: (~prec(U,L,o,o)|leq(U,L)))&(![U,L]: (prec(U,L,o,o)|~leq(U,L)))),
% 4.55/1.30 inference(miniscoping,[status(thm)],[f178])).
% 4.55/1.30 fof(f180,plain,(
% 4.55/1.30 ![X0,X1]: (~prec(X0,X1,o,o)|leq(X0,X1))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f179])).
% 4.55/1.30 fof(f182,plain,(
% 4.55/1.30 ![L1,U1,CL1,CU1,L2,U2,CL2,CU2]: ((~disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)|(prec(U1,L2,CU1,CL2)|prec(U2,L1,CU2,CL1)))&(disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)|(~prec(U1,L2,CU1,CL2)&~prec(U2,L1,CU2,CL1))))),
% 4.55/1.30 inference(NNF_transformation,[status(thm)],[f43])).
% 4.55/1.30 fof(f183,plain,(
% 4.55/1.30 (![L1,U1,CL1,CU1,L2,U2,CL2,CU2]: (~disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)|(prec(U1,L2,CU1,CL2)|prec(U2,L1,CU2,CL1))))&(![L1,U1,CL1,CU1,L2,U2,CL2,CU2]: (disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)|(~prec(U1,L2,CU1,CL2)&~prec(U2,L1,CU2,CL1))))),
% 4.55/1.30 inference(miniscoping,[status(thm)],[f182])).
% 4.55/1.30 fof(f184,plain,(
% 4.55/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~disjoint(X0,X1,X2,X3,X4,X5,X6,X7)|prec(X1,X4,X3,X6)|prec(X5,X0,X7,X2))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f183])).
% 4.55/1.30 fof(f198,plain,(
% 4.55/1.30 less(n3,n5)),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f55])).
% 4.55/1.30 fof(f199,plain,(
% 4.55/1.30 less(n5,n10)),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f56])).
% 4.55/1.30 fof(f201,plain,(
% 4.55/1.30 ![X0]: (leq(ninf,X0))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f58])).
% 4.55/1.30 fof(f202,plain,(
% 4.55/1.30 ![X0]: (leq(X0,nsup))),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f59])).
% 4.55/1.30 fof(f203,plain,(
% 4.55/1.30 (((((~axis_conflict(n0,n3,n10,n20)|(![Z]: (~less(n5,Z)|~less(Z,n10))))|disjoint(n5,nsup,o,c,ninf,n10,c,o))|~completion_conflict(n5,n10,ninf,nsup))|~completion_compatible(n5,ninf,nsup))|~box_verdict(conflict,unknown)=conflict)),
% 4.55/1.30 inference(pre_NNF_transformation,[status(thm)],[f61])).
% 4.55/1.30 fof(f204,plain,(
% 4.55/1.30 ![X0]: (~axis_conflict(n0,n3,n10,n20)|~less(n5,X0)|~less(X0,n10)|disjoint(n5,nsup,o,c,ninf,n10,c,o)|~completion_conflict(n5,n10,ninf,nsup)|~completion_compatible(n5,ninf,nsup)|~box_verdict(conflict,unknown)=conflict)),
% 4.55/1.30 inference(cnf_transformation,[status(thm)],[f203])).
% 4.55/1.30 fof(f205,definition,(
% 4.55/1.30 sQ0_spl <=> (axis_conflict(n0,n3,n10,n20))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f207,plain,(
% 4.55/1.30 ~axis_conflict(n0,n3,n10,n20)|sQ0_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f205])).
% 4.55/1.30 fof(f208,definition,(
% 4.55/1.30 ![X0]: (sQ1_spl <=> (~less(n5,X0)|~less(X0,n10)))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f209,plain,(
% 4.55/1.30 ![X0]: (~less(n5,X0)|~less(X0,n10)|~sQ1_spl)),
% 4.55/1.30 inference(component_clause,[status(thm)],[f208])).
% 4.55/1.30 fof(f211,definition,(
% 4.55/1.30 sQ2_spl <=> (disjoint(n5,nsup,o,c,ninf,n10,c,o))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f212,plain,(
% 4.55/1.30 disjoint(n5,nsup,o,c,ninf,n10,c,o)|~sQ2_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f211])).
% 4.55/1.30 fof(f214,definition,(
% 4.55/1.30 sQ3_spl <=> (completion_conflict(n5,n10,ninf,nsup))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f216,plain,(
% 4.55/1.30 ~completion_conflict(n5,n10,ninf,nsup)|sQ3_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f214])).
% 4.55/1.30 fof(f217,definition,(
% 4.55/1.30 sQ4_spl <=> (completion_compatible(n5,ninf,nsup))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f219,plain,(
% 4.55/1.30 ~completion_compatible(n5,ninf,nsup)|sQ4_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f217])).
% 4.55/1.30 fof(f220,definition,(
% 4.55/1.30 sQ5_spl <=> (box_verdict(conflict,unknown)=conflict)),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f222,plain,(
% 4.55/1.30 ~box_verdict(conflict,unknown)=conflict|sQ5_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f220])).
% 4.55/1.30 fof(f223,plain,(
% 4.55/1.30 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 4.55/1.30 inference(split_clause,[status(thm)],[f204,f205,f208,f211,f214,f217,f220])).
% 4.55/1.30 fof(f225,plain,(
% 4.55/1.30 ![X0]: (~is_verdict(conflict)|~is_verdict(X0)|box_verdict(conflict,X0)=conflict)),
% 4.55/1.30 inference(destructive_equality_resolution,[status(thm)],[f138])).
% 4.55/1.30 fof(f235,plain,(
% 4.55/1.30 ![X0,X1]: (~less(X0,X1)|~less(X1,X0))),
% 4.55/1.30 inference(resolution,[status(thm)],[f65,f62])).
% 4.55/1.30 fof(f241,plain,(
% 4.55/1.30 ![X0,X1]: (~leq(X0,X1)|~less(X1,X0))),
% 4.55/1.30 inference(resolution,[status(thm)],[f78,f62])).
% 4.55/1.30 fof(f242,plain,(
% 4.55/1.30 ![X0]: (~less(nsup,X0))),
% 4.55/1.30 inference(resolution,[status(thm)],[f241,f202])).
% 4.55/1.30 fof(f269,plain,(
% 4.55/1.30 ![X0]: (~is_verdict(X0)|box_verdict(conflict,X0)=conflict)),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f225,f129])).
% 4.55/1.30 fof(f270,plain,(
% 4.55/1.30 box_verdict(conflict,unknown)=conflict),
% 4.55/1.30 inference(resolution,[status(thm)],[f269,f131])).
% 4.55/1.30 fof(f272,plain,(
% 4.55/1.30 $false|sQ5_spl),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f270,f222])).
% 4.55/1.30 fof(f273,plain,(
% 4.55/1.30 sQ5_spl),
% 4.55/1.30 inference(contradiction_clause,[status(thm)],[f272])).
% 4.55/1.30 fof(f277,plain,(
% 4.55/1.30 ~leq(ninf,n5)|~leq(n5,nsup)|sQ4_spl),
% 4.55/1.30 inference(resolution,[status(thm)],[f219,f148])).
% 4.55/1.30 fof(f278,definition,(
% 4.55/1.30 sQ6_spl <=> (leq(ninf,n5))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f280,plain,(
% 4.55/1.30 ~leq(ninf,n5)|sQ6_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f278])).
% 4.55/1.30 fof(f281,definition,(
% 4.55/1.30 sQ7_spl <=> (leq(n5,nsup))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f283,plain,(
% 4.55/1.30 ~leq(n5,nsup)|sQ7_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f281])).
% 4.55/1.30 fof(f284,plain,(
% 4.55/1.30 ~sQ6_spl|~sQ7_spl|sQ4_spl),
% 4.55/1.30 inference(split_clause,[status(thm)],[f277,f278,f281,f217])).
% 4.55/1.30 fof(f285,plain,(
% 4.55/1.30 $false|sQ7_spl),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f283,f202])).
% 4.55/1.30 fof(f286,plain,(
% 4.55/1.30 sQ7_spl),
% 4.55/1.30 inference(contradiction_clause,[status(thm)],[f285])).
% 4.55/1.30 fof(f287,plain,(
% 4.55/1.30 $false|sQ6_spl),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f280,f201])).
% 4.55/1.30 fof(f288,plain,(
% 4.55/1.30 sQ6_spl),
% 4.55/1.30 inference(contradiction_clause,[status(thm)],[f287])).
% 4.55/1.30 fof(f289,plain,(
% 4.55/1.30 ~leq(ninf,n5)|~leq(n5,nsup)|~less(n5,n10)|~leq(n10,nsup)|sQ3_spl),
% 4.55/1.30 inference(resolution,[status(thm)],[f216,f155])).
% 4.55/1.30 fof(f290,definition,(
% 4.55/1.30 sQ8_spl <=> (less(n5,n10))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f292,plain,(
% 4.55/1.30 ~less(n5,n10)|sQ8_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f290])).
% 4.55/1.30 fof(f293,definition,(
% 4.55/1.30 sQ9_spl <=> (leq(n10,nsup))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f295,plain,(
% 4.55/1.30 ~leq(n10,nsup)|sQ9_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f293])).
% 4.55/1.30 fof(f296,plain,(
% 4.55/1.30 ~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ3_spl),
% 4.55/1.30 inference(split_clause,[status(thm)],[f289,f278,f281,f290,f293,f214])).
% 4.55/1.30 fof(f297,plain,(
% 4.55/1.30 $false|sQ9_spl),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f295,f202])).
% 4.55/1.30 fof(f298,plain,(
% 4.55/1.30 sQ9_spl),
% 4.55/1.30 inference(contradiction_clause,[status(thm)],[f297])).
% 4.55/1.30 fof(f299,plain,(
% 4.55/1.30 $false|sQ8_spl),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f292,f199])).
% 4.55/1.30 fof(f300,plain,(
% 4.55/1.30 sQ8_spl),
% 4.55/1.30 inference(contradiction_clause,[status(thm)],[f299])).
% 4.55/1.30 fof(f304,plain,(
% 4.55/1.30 ![X0,X1,X2]: (~leq(X0,X1)|leq(X0,X2)|~less(X1,X2))),
% 4.55/1.30 inference(resolution,[status(thm)],[f84,f70])).
% 4.55/1.30 fof(f310,plain,(
% 4.55/1.30 prec(nsup,ninf,c,c)|prec(n10,n5,o,o)|~sQ2_spl),
% 4.55/1.30 inference(resolution,[status(thm)],[f212,f184])).
% 4.55/1.30 fof(f311,definition,(
% 4.55/1.30 sQ10_spl <=> (prec(nsup,ninf,c,c))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f312,plain,(
% 4.55/1.30 prec(nsup,ninf,c,c)|~sQ10_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f311])).
% 4.55/1.30 fof(f314,definition,(
% 4.55/1.30 sQ11_spl <=> (prec(n10,n5,o,o))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f315,plain,(
% 4.55/1.30 prec(n10,n5,o,o)|~sQ11_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f314])).
% 4.55/1.30 fof(f317,plain,(
% 4.55/1.30 sQ10_spl|sQ11_spl|~sQ2_spl),
% 4.55/1.30 inference(split_clause,[status(thm)],[f310,f311,f314,f211])).
% 4.55/1.30 fof(f323,plain,(
% 4.55/1.30 ![X0]: (~less(sK0_skl(X0,n5),n10)|~less(n5,X0)|~sQ1_spl)),
% 4.55/1.30 inference(resolution,[status(thm)],[f209,f87])).
% 4.55/1.30 fof(f377,plain,(
% 4.55/1.30 less(nsup,ninf)|~sQ10_spl),
% 4.55/1.30 inference(resolution,[status(thm)],[f168,f312])).
% 4.55/1.30 fof(f378,plain,(
% 4.55/1.30 $false|~sQ10_spl),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f377,f242])).
% 4.55/1.30 fof(f379,plain,(
% 4.55/1.30 ~sQ10_spl),
% 4.55/1.30 inference(contradiction_clause,[status(thm)],[f378])).
% 4.55/1.30 fof(f390,plain,(
% 4.55/1.30 leq(n10,n5)|~sQ11_spl),
% 4.55/1.30 inference(resolution,[status(thm)],[f180,f315])).
% 4.55/1.30 fof(f392,plain,(
% 4.55/1.30 ~less(n5,n10)|~sQ11_spl),
% 4.55/1.30 inference(resolution,[status(thm)],[f390,f241])).
% 4.55/1.30 fof(f395,plain,(
% 4.55/1.30 ~sQ8_spl|~sQ11_spl),
% 4.55/1.30 inference(split_clause,[status(thm)],[f392,f290,f314])).
% 4.55/1.30 fof(f518,plain,(
% 4.55/1.30 ![X0,X1,X2,X3]: (axis_conflict(X0,X1,X2,X3)|leq(sK1_skl(X3,X2,X1,X0),X1))),
% 4.55/1.30 inference(resolution,[status(thm)],[f114,f92])).
% 4.55/1.30 fof(f522,plain,(
% 4.55/1.30 ![X0,X1,X2,X3]: (axis_conflict(X0,X1,X2,X3)|leq(X2,sK1_skl(X3,X2,X1,X0)))),
% 4.55/1.30 inference(resolution,[status(thm)],[f115,f91])).
% 4.55/1.30 fof(f728,definition,(
% 4.55/1.30 sQ46_spl <=> (n3=n10)),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f729,plain,(
% 4.55/1.30 n3=n10|~sQ46_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f728])).
% 4.55/1.30 fof(f1137,plain,(
% 4.55/1.30 ~less(n5,n3)),
% 4.55/1.30 inference(resolution,[status(thm)],[f235,f198])).
% 4.55/1.30 fof(f1594,plain,(
% 4.55/1.30 ![X0,X1,X2]: (leq(X0,X1)|~less(X2,X1)|~less(X0,X2))),
% 4.55/1.30 inference(resolution,[status(thm)],[f304,f70])).
% 4.55/1.30 fof(f1780,plain,(
% 4.55/1.30 ![X0,X1,X2,X3,X4]: (axis_conflict(X0,X1,X2,X3)|~leq(X4,sK1_skl(X3,X2,X1,X0))|leq(X4,X1))),
% 4.55/1.30 inference(resolution,[status(thm)],[f518,f84])).
% 4.55/1.30 fof(f3871,plain,(
% 4.55/1.30 ![X0]: (leq(X0,n10)|~less(X0,n5))),
% 4.55/1.30 inference(resolution,[status(thm)],[f1594,f199])).
% 4.55/1.30 fof(f4090,plain,(
% 4.55/1.30 leq(n3,n10)),
% 4.55/1.30 inference(resolution,[status(thm)],[f198,f3871])).
% 4.55/1.30 fof(f4128,plain,(
% 4.55/1.30 ~leq(n10,n3)|n10=n3),
% 4.55/1.30 inference(resolution,[status(thm)],[f4090,f73])).
% 4.55/1.30 fof(f4130,definition,(
% 4.55/1.30 sQ141_spl <=> (leq(n10,n3))),
% 4.55/1.30 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 4.55/1.30 fof(f4132,plain,(
% 4.55/1.30 ~leq(n10,n3)|sQ141_spl),
% 4.55/1.30 inference(component_clause,[status(thm)],[f4130])).
% 4.55/1.30 fof(f4133,plain,(
% 4.55/1.30 ~sQ141_spl|sQ46_spl),
% 4.55/1.30 inference(split_clause,[status(thm)],[f4128,f4130,f728])).
% 4.55/1.30 fof(f4139,plain,(
% 4.55/1.30 less(n5,n3)|~sQ46_spl),
% 4.55/1.30 inference(backward_demodulation,[status(thm)],[f729,f199])).
% 4.55/1.30 fof(f4159,plain,(
% 4.55/1.30 $false|~sQ46_spl),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f4139,f1137])).
% 4.55/1.30 fof(f4160,plain,(
% 4.55/1.30 ~sQ46_spl),
% 4.55/1.30 inference(contradiction_clause,[status(thm)],[f4159])).
% 4.55/1.30 fof(f4335,plain,(
% 4.55/1.30 ![X0,X1,X2,X3]: (axis_conflict(X0,X1,X2,X3)|leq(X2,X1)|axis_conflict(X0,X1,X2,X3))),
% 4.55/1.30 inference(resolution,[status(thm)],[f1780,f522])).
% 4.55/1.30 fof(f4339,plain,(
% 4.55/1.30 ![X0,X1,X2,X3]: (axis_conflict(X0,X1,X2,X3)|leq(X2,X1))),
% 4.55/1.30 inference(duplicate_literals_removal,[status(thm)],[f4335])).
% 4.55/1.30 fof(f4455,plain,(
% 4.55/1.30 leq(n10,n3)|sQ0_spl),
% 4.55/1.30 inference(resolution,[status(thm)],[f4339,f207])).
% 4.55/1.30 fof(f4463,plain,(
% 4.55/1.30 $false|sQ141_spl|sQ0_spl),
% 4.55/1.30 inference(forward_subsumption_resolution,[status(thm)],[f4455,f4132])).
% 4.55/1.30 fof(f4464,plain,(
% 4.55/1.30 sQ141_spl|sQ0_spl),
% 4.55/1.30 inference(contradiction_clause,[status(thm)],[f4463])).
% 4.55/1.30 fof(f4593,plain,(
% 4.55/1.30 ~less(n5,n10)|~less(n5,n10)|~sQ1_spl),
% 4.55/1.30 inference(resolution,[status(thm)],[f323,f88])).
% 4.55/1.30 fof(f4599,plain,(
% 4.55/1.30 ~sQ8_spl|~sQ1_spl),
% 4.55/1.30 inference(split_clause,[status(thm)],[f4593,f290,f208])).
% 4.55/1.30 fof(f4600,plain,(
% 4.55/1.30 $false),
% 4.55/1.30 inference(sat_refutation,[status(thm)],[f223,f273,f284,f286,f288,f296,f298,f300,f317,f379,f395,f4133,f4160,f4464,f4599])).
% 4.55/1.30 % SZS output end CNFRefutation for theBenchmark.p
% 2.66/1.32 % Elapsed time: 0.921968 seconds
% 2.66/1.32 % CPU time: 6.930164 seconds
% 2.66/1.32 % Total memory used: 118.621 MB
% 2.66/1.32 % Net memory used: 111.213 MB
%------------------------------------------------------------------------------