%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO112-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:25:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO112-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 11:28:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.54 % Refutation found
% 0.10/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.54 fof(f49,axiom,(
% 0.10/0.54 (![A,B,C,D]: (( ~ between_c(A,B,C,D)| B != D ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f50,axiom,(
% 0.10/0.54 (![A,B,C,D]: (( ~ between_c(A,B,C,D)| part_of(ax1_sk1(D,C,B,A),A) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f51,axiom,(
% 0.10/0.54 (![A,B,C,D]: (( ~ between_c(A,B,C,D)| end_point(B,ax1_sk1(D,C,B,A)) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f52,axiom,(
% 0.10/0.54 (![A,B,C,D]: (( ~ between_c(A,B,C,D)| end_point(D,ax1_sk1(D,C,B,A)) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f53,axiom,(
% 0.10/0.54 (![A,B,C,D]: (( ~ between_c(A,B,C,D)| inner_point(C,ax1_sk1(D,C,B,A)) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f54,axiom,(
% 0.10/0.54 (![A,B,C,D,E]: (( A = B| ~ part_of(C,D)| ~ end_point(A,C)| ~ end_point(B,C)| ~ inner_point(E,C)| between_c(D,A,E,B) ) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f55,negated_conjecture,(
% 0.10/0.54 between_c(sk15,sk16,sk17,sk18) ),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f56,negated_conjecture,(
% 0.10/0.54 ~ between_c(sk15,sk18,sk17,sk16) ),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f121,plain,(
% 0.10/0.54 ![B,D]: ((![A,C]: ~between_c(A,B,C,D))|~B=D)),
% 0.10/0.54 inference(miniscoping,[status(thm)],[f49])).
% 0.10/0.54 fof(f122,plain,(
% 0.10/0.54 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X1=X3)),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f121])).
% 0.10/0.54 fof(f123,plain,(
% 0.10/0.54 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|part_of(ax1_sk1(X3,X2,X1,X0),X0))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f50])).
% 0.10/0.54 fof(f124,plain,(
% 0.10/0.54 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|end_point(X1,ax1_sk1(X3,X2,X1,X0)))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f51])).
% 0.10/0.54 fof(f125,plain,(
% 0.10/0.54 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|end_point(X3,ax1_sk1(X3,X2,X1,X0)))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f52])).
% 0.10/0.54 fof(f126,plain,(
% 0.10/0.54 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|inner_point(X2,ax1_sk1(X3,X2,X1,X0)))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f53])).
% 0.10/0.54 fof(f127,plain,(
% 0.10/0.54 ![A,B,D,E]: ((![C]: ((((A=B|~part_of(C,D))|~end_point(A,C))|~end_point(B,C))|~inner_point(E,C)))|between_c(D,A,E,B))),
% 0.10/0.54 inference(miniscoping,[status(thm)],[f54])).
% 0.10/0.54 fof(f128,plain,(
% 0.10/0.54 ![X0,X1,X2,X3,X4]: (X0=X1|~part_of(X2,X3)|~end_point(X0,X2)|~end_point(X1,X2)|~inner_point(X4,X2)|between_c(X3,X0,X4,X1))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f127])).
% 0.10/0.54 fof(f129,plain,(
% 0.10/0.54 between_c(sk15,sk16,sk17,sk18)),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f55])).
% 0.10/0.54 fof(f130,plain,(
% 0.10/0.54 ~between_c(sk15,sk18,sk17,sk16)),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f56])).
% 0.10/0.54 fof(f135,plain,(
% 0.10/0.54 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))),
% 0.10/0.54 inference(destructive_equality_resolution,[status(thm)],[f122])).
% 0.10/0.54 fof(f140,plain,(
% 0.10/0.54 end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15))),
% 0.10/0.54 inference(resolution,[status(thm)],[f124,f129])).
% 0.10/0.54 fof(f146,plain,(
% 0.10/0.54 end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15))),
% 0.10/0.54 inference(resolution,[status(thm)],[f125,f129])).
% 0.10/0.54 fof(f151,plain,(
% 0.10/0.54 ![X0,X1,X2]: (sk18=X0|~part_of(ax1_sk1(sk18,sk17,sk16,sk15),X1)|~end_point(X0,ax1_sk1(sk18,sk17,sk16,sk15))|~inner_point(X2,ax1_sk1(sk18,sk17,sk16,sk15))|between_c(X1,sk18,X2,X0))),
% 0.10/0.54 inference(resolution,[status(thm)],[f146,f128])).
% 0.10/0.54 fof(f152,plain,(
% 0.10/0.54 inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15))),
% 0.10/0.54 inference(resolution,[status(thm)],[f126,f129])).
% 0.10/0.54 fof(f153,plain,(
% 0.10/0.54 ![X0,X1]: (sk18=X0|~part_of(ax1_sk1(sk18,sk17,sk16,sk15),X1)|~end_point(X0,ax1_sk1(sk18,sk17,sk16,sk15))|between_c(X1,sk18,sk17,X0))),
% 0.10/0.54 inference(resolution,[status(thm)],[f152,f151])).
% 0.10/0.54 fof(f210,plain,(
% 0.10/0.54 ![X0]: (sk18=X0|~end_point(X0,ax1_sk1(sk18,sk17,sk16,sk15))|between_c(sk15,sk18,sk17,X0)|~between_c(sk15,sk16,sk17,sk18))),
% 0.10/0.54 inference(resolution,[status(thm)],[f153,f123])).
% 0.10/0.54 fof(f211,plain,(
% 0.10/0.54 ![X0]: (sk18=X0|~end_point(X0,ax1_sk1(sk18,sk17,sk16,sk15))|between_c(sk15,sk18,sk17,X0))),
% 0.10/0.54 inference(forward_subsumption_resolution,[status(thm)],[f210,f129])).
% 0.10/0.55 fof(f220,plain,(
% 0.10/0.55 sk18=sk16|between_c(sk15,sk18,sk17,sk16)),
% 0.10/0.55 inference(resolution,[status(thm)],[f211,f140])).
% 0.10/0.55 fof(f221,plain,(
% 0.10/0.55 sk18=sk16),
% 0.10/0.55 inference(forward_subsumption_resolution,[status(thm)],[f220,f130])).
% 0.10/0.55 fof(f239,plain,(
% 0.10/0.55 between_c(sk15,sk16,sk17,sk16)),
% 0.10/0.55 inference(backward_demodulation,[status(thm)],[f221,f129])).
% 0.10/0.55 fof(f263,plain,(
% 0.10/0.55 $false),
% 0.10/0.55 inference(forward_subsumption_resolution,[status(thm)],[f239,f135])).
% 0.10/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.56 % Elapsed time: 0.177742 seconds
% 0.20/0.56 % CPU time: 1.027846 seconds
% 0.20/0.56 % Total memory used: 92.406 MB
% 0.20/0.56 % Net memory used: 91.089 MB
%------------------------------------------------------------------------------