%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO124-1 : 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 : n026.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 12:25:49 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO124-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 % Computer : n026.cluster.edu
% 0.19/0.48 % Model : x86_64 x86_64
% 0.19/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.48 % Memory : 8046.5625MB
% 0.19/0.48 % OS : Linux 6.8.0-71-generic
% 0.19/0.48 % CPULimit : 300
% 0.19/0.48 % WCLimit : 300
% 0.19/0.48 % DateTime : Sun Sep 20 12:00:21 UTC 2026
% 0.19/0.48 % CPUTime :
% 0.22/0.49 % Drodi V4.1.1
% 0.22/0.60 % Refutation found
% 0.22/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.60 fof(f49,axiom,(
% 0.22/0.60 (![A,B,C,D]: (( ~ between_c(A,B,C,D)| B != D ) ))),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f58,axiom,(
% 0.22/0.60 (![A,B,C,D]: (( ~ between_o(A,B,C,D)| ordered_by(A,C,D)| ordered_by(A,C,B) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f59,axiom,(
% 0.22/0.60 (![A,B,C,D]: (( ~ ordered_by(A,B,C)| ~ ordered_by(A,C,D)| between_o(A,B,C,D) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f60,axiom,(
% 0.22/0.60 (![A,B,C,D]: (( ~ ordered_by(A,B,C)| ~ ordered_by(A,C,D)| between_o(A,D,C,B) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f61,axiom,(
% 0.22/0.60 (![A,B]: (( ~ start_point(A,B)| incident_o(A,B) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f62,axiom,(
% 0.22/0.60 (![A,B,C]: (( ~ start_point(A,B)| A = C| ~ incident_o(C,B)| ordered_by(B,A,C) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f78,axiom,(
% 0.22/0.60 (![A,B,C,D]: (( ~ between_o(A,B,C,D)| between_c(ax2_sk4(A,D,C,B),B,C,D) ) ))),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f97,negated_conjecture,(
% 0.22/0.60 start_point(sk26,sk25) ),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f98,negated_conjecture,(
% 0.22/0.60 start_point(sk27,sk25) ),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f99,negated_conjecture,(
% 0.22/0.60 sk26 != sk27 ),
% 0.22/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.60 fof(f164,plain,(
% 0.22/0.60 ![B,D]: ((![A,C]: ~between_c(A,B,C,D))|~B=D)),
% 0.22/0.60 inference(miniscoping,[status(thm)],[f49])).
% 0.22/0.60 fof(f165,plain,(
% 0.22/0.60 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X1=X3)),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f164])).
% 0.22/0.60 fof(f178,plain,(
% 0.22/0.60 ![A,B,C]: ((![D]: (~between_o(A,B,C,D)|ordered_by(A,C,D)))|ordered_by(A,C,B))),
% 0.22/0.60 inference(miniscoping,[status(thm)],[f58])).
% 0.22/0.60 fof(f179,plain,(
% 0.22/0.60 ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|ordered_by(X0,X2,X3)|ordered_by(X0,X2,X1))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f178])).
% 0.22/0.60 fof(f180,plain,(
% 0.22/0.60 ![X0,X1,X2,X3]: (~ordered_by(X0,X1,X2)|~ordered_by(X0,X2,X3)|between_o(X0,X1,X2,X3))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f59])).
% 0.22/0.60 fof(f181,plain,(
% 0.22/0.60 ![X0,X1,X2,X3]: (~ordered_by(X0,X1,X2)|~ordered_by(X0,X2,X3)|between_o(X0,X3,X2,X1))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f60])).
% 0.22/0.60 fof(f182,plain,(
% 0.22/0.60 ![X0,X1]: (~start_point(X0,X1)|incident_o(X0,X1))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f61])).
% 0.22/0.60 fof(f183,plain,(
% 0.22/0.60 ![X0,X1,X2]: (~start_point(X0,X1)|X0=X2|~incident_o(X2,X1)|ordered_by(X1,X0,X2))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f62])).
% 0.22/0.60 fof(f202,plain,(
% 0.22/0.60 ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3))),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f78])).
% 0.22/0.60 fof(f228,plain,(
% 0.22/0.60 start_point(sk26,sk25)),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f97])).
% 0.22/0.60 fof(f229,plain,(
% 0.22/0.60 start_point(sk27,sk25)),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f98])).
% 0.22/0.60 fof(f230,plain,(
% 0.22/0.60 ~sk26=sk27),
% 0.22/0.60 inference(cnf_transformation,[status(thm)],[f99])).
% 0.22/0.60 fof(f235,plain,(
% 0.22/0.60 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))),
% 0.22/0.60 inference(destructive_equality_resolution,[status(thm)],[f165])).
% 0.22/0.60 fof(f240,plain,(
% 0.22/0.60 incident_o(sk27,sk25)),
% 0.22/0.60 inference(resolution,[status(thm)],[f182,f229])).
% 0.22/0.60 fof(f241,plain,(
% 0.22/0.60 incident_o(sk26,sk25)),
% 0.22/0.60 inference(resolution,[status(thm)],[f182,f228])).
% 0.22/0.60 fof(f622,plain,(
% 0.22/0.60 ![X0,X1,X2,X3]: (~ordered_by(X0,X1,X2)|between_o(X0,X1,X2,X3)|~start_point(X2,X0)|X2=X3|~incident_o(X3,X0))),
% 0.22/0.60 inference(resolution,[status(thm)],[f180,f183])).
% 0.22/0.60 fof(f661,plain,(
% 0.22/0.60 ![X0,X1]: (~ordered_by(sk25,X0,sk27)|between_o(sk25,X0,sk27,X1)|sk27=X1|~incident_o(X1,sk25))),
% 0.22/0.60 inference(resolution,[status(thm)],[f622,f229])).
% 0.22/0.60 fof(f682,plain,(
% 0.22/0.60 ![X0,X1]: (between_o(sk25,X0,sk27,X1)|sk27=X1|~incident_o(X1,sk25)|~start_point(X0,sk25)|X0=sk27|~incident_o(sk27,sk25))),
% 0.22/0.60 inference(resolution,[status(thm)],[f661,f183])).
% 0.22/0.60 fof(f683,plain,(
% 0.22/0.60 ![X0,X1]: (between_o(sk25,X0,sk27,X1)|sk27=X1|~incident_o(X1,sk25)|~start_point(X0,sk25)|X0=sk27)),
% 0.22/0.61 inference(forward_subsumption_resolution,[status(thm)],[f682,f240])).
% 0.22/0.61 fof(f777,plain,(
% 0.22/0.61 ![X0]: (between_o(sk25,sk26,sk27,X0)|sk27=X0|~incident_o(X0,sk25)|sk26=sk27)),
% 0.22/0.61 inference(resolution,[status(thm)],[f683,f228])).
% 0.22/0.61 fof(f779,plain,(
% 0.22/0.61 ![X0]: (between_o(sk25,sk26,sk27,X0)|sk27=X0|~incident_o(X0,sk25))),
% 0.22/0.61 inference(forward_subsumption_resolution,[status(thm)],[f777,f230])).
% 0.22/0.61 fof(f783,plain,(
% 0.22/0.61 ![X0]: (sk27=X0|~incident_o(X0,sk25)|ordered_by(sk25,sk27,X0)|ordered_by(sk25,sk27,sk26))),
% 0.22/0.61 inference(resolution,[status(thm)],[f779,f179])).
% 0.22/0.61 fof(f873,plain,(
% 0.22/0.61 sk27=sk26|ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk27,sk26)),
% 0.22/0.61 inference(resolution,[status(thm)],[f783,f241])).
% 0.22/0.61 fof(f876,plain,(
% 0.22/0.61 sk27=sk26|ordered_by(sk25,sk27,sk26)),
% 0.22/0.61 inference(duplicate_literals_removal,[status(thm)],[f873])).
% 0.22/0.61 fof(f877,plain,(
% 0.22/0.61 ordered_by(sk25,sk27,sk26)),
% 0.22/0.61 inference(forward_subsumption_resolution,[status(thm)],[f876,f230])).
% 0.22/0.61 fof(f886,plain,(
% 0.22/0.61 ![X0]: (~ordered_by(sk25,X0,sk27)|between_o(sk25,sk26,sk27,X0))),
% 0.22/0.61 inference(resolution,[status(thm)],[f877,f181])).
% 0.22/0.61 fof(f892,plain,(
% 0.22/0.61 ![X0]: (between_o(sk25,sk26,sk27,X0)|~start_point(X0,sk25)|X0=sk27|~incident_o(sk27,sk25))),
% 0.22/0.61 inference(resolution,[status(thm)],[f886,f183])).
% 0.22/0.61 fof(f893,plain,(
% 0.22/0.61 ![X0]: (between_o(sk25,sk26,sk27,X0)|~start_point(X0,sk25)|X0=sk27)),
% 0.22/0.61 inference(forward_subsumption_resolution,[status(thm)],[f892,f240])).
% 0.22/0.61 fof(f1011,plain,(
% 0.22/0.61 between_o(sk25,sk26,sk27,sk26)|sk26=sk27),
% 0.22/0.61 inference(resolution,[status(thm)],[f893,f228])).
% 0.22/0.61 fof(f1013,plain,(
% 0.22/0.61 between_o(sk25,sk26,sk27,sk26)),
% 0.22/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1011,f230])).
% 0.22/0.61 fof(f1014,plain,(
% 0.22/0.61 between_c(ax2_sk4(sk25,sk26,sk27,sk26),sk26,sk27,sk26)),
% 0.22/0.61 inference(resolution,[status(thm)],[f1013,f202])).
% 0.22/0.61 fof(f1021,plain,(
% 0.22/0.61 $false),
% 0.22/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1014,f235])).
% 0.22/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.47/0.64 % Elapsed time: 0.141109 seconds
% 0.47/0.64 % CPU time: 0.914055 seconds
% 0.47/0.64 % Total memory used: 93.374 MB
% 0.47/0.64 % Net memory used: 92.551 MB
%------------------------------------------------------------------------------