%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 01:26:31 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f14,axiom,(
% 0.13/0.40 (! [I1lo,I1hi,I2lo,I2hi] :( axis_conflict(I1lo,I1hi,I2lo,I2hi)<=> ~ (? [X] :( in_closed(X,I1lo,I1hi)& in_closed(X,I2lo,I2hi) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f40,hypothesis,(
% 0.13/0.40 axis_conflict(n0,n5,n10,n15) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f41,conjecture,(
% 0.13/0.40 ~ (? [X] :( in_closed(X,n0,n5)& in_closed(X,n10,n15) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f42,negated_conjecture,(
% 0.13/0.40 ~(~ (? [X] :( in_closed(X,n0,n5)& in_closed(X,n10,n15) ) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f41])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 ![I1lo,I1hi,I2lo,I2hi]: (axis_conflict(I1lo,I1hi,I2lo,I2hi)<=>(![X]: (~in_closed(X,I1lo,I1hi)|~in_closed(X,I2lo,I2hi))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f87,plain,(
% 0.13/0.40 ![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)))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f86])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 (![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)))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f87])).
% 0.13/0.40 fof(f89,plain,(
% 0.13/0.40 (![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(sK0_skl(I2hi,I2lo,I1hi,I1lo),I1lo,I1hi)&in_closed(sK0_skl(I2hi,I2lo,I1hi,I1lo),I2lo,I2hi))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(I2hi,I2lo,I1hi,I1lo))],[f88])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4]: (~axis_conflict(X0,X1,X2,X3)|~in_closed(X4,X0,X1)|~in_closed(X4,X2,X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f89])).
% 0.13/0.40 fof(f172,plain,(
% 0.13/0.40 axis_conflict(n0,n5,n10,n15)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.40 fof(f173,plain,(
% 0.13/0.40 (in_closed(sK3_skl,n0,n5)&in_closed(sK3_skl,n10,n15))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X,sK3_skl)],[f42])).
% 0.13/0.40 fof(f174,plain,(
% 0.13/0.40 in_closed(sK3_skl,n0,n5)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f173])).
% 0.13/0.40 fof(f175,plain,(
% 0.13/0.40 in_closed(sK3_skl,n10,n15)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f173])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 ![X0]: (~in_closed(X0,n0,n5)|~in_closed(X0,n10,n15))),
% 0.13/0.40 inference(resolution,[status(thm)],[f90,f172])).
% 0.13/0.40 fof(f274,plain,(
% 0.13/0.40 ~in_closed(sK3_skl,n0,n5)),
% 0.13/0.40 inference(resolution,[status(thm)],[f223,f175])).
% 0.13/0.40 fof(f276,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f274,f174])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.069579 seconds
% 0.13/0.43 % CPU time: 0.227245 seconds
% 0.13/0.43 % Total memory used: 83.224 MB
% 0.13/0.43 % Net memory used: 83.013 MB
%------------------------------------------------------------------------------