%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO118-1 : 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 0.09s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO118-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 11:42:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.48 % Refutation found
% 0.09/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.48 fof(f49,axiom,(
% 0.09/0.48 (![A,B,C,D]: (( ~ between_c(A,B,C,D)| B != D ) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f59,axiom,(
% 0.09/0.48 (![A,B,C,D]: (( ~ ordered_by(A,B,C)| ~ ordered_by(A,C,D)| between_o(A,B,C,D) ) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f78,axiom,(
% 0.09/0.48 (![A,B,C,D]: (( ~ between_o(A,B,C,D)| between_c(ax2_sk4(A,D,C,B),B,C,D) ) ))),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f97,negated_conjecture,(
% 0.09/0.48 ordered_by(sk25,sk26,sk27) ),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f98,negated_conjecture,(
% 0.09/0.48 ordered_by(sk25,sk27,sk26) ),
% 0.09/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.48 fof(f163,plain,(
% 0.09/0.48 ![B,D]: ((![A,C]: ~between_c(A,B,C,D))|~B=D)),
% 0.09/0.48 inference(miniscoping,[status(thm)],[f49])).
% 0.09/0.48 fof(f164,plain,(
% 0.09/0.48 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X1=X3)),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f163])).
% 0.09/0.48 fof(f179,plain,(
% 0.09/0.48 ![X0,X1,X2,X3]: (~ordered_by(X0,X1,X2)|~ordered_by(X0,X2,X3)|between_o(X0,X1,X2,X3))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.48 fof(f201,plain,(
% 0.09/0.48 ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3))),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f78])).
% 0.09/0.48 fof(f227,plain,(
% 0.09/0.48 ordered_by(sk25,sk26,sk27)),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/0.48 fof(f228,plain,(
% 0.09/0.48 ordered_by(sk25,sk27,sk26)),
% 0.09/0.48 inference(cnf_transformation,[status(thm)],[f98])).
% 0.09/0.48 fof(f233,plain,(
% 0.09/0.48 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))),
% 0.09/0.48 inference(destructive_equality_resolution,[status(thm)],[f164])).
% 0.09/0.48 fof(f379,plain,(
% 0.09/0.48 ![X0]: (~ordered_by(sk25,sk27,X0)|between_o(sk25,sk26,sk27,X0))),
% 0.09/0.48 inference(resolution,[status(thm)],[f179,f227])).
% 0.09/0.48 fof(f381,plain,(
% 0.09/0.48 between_o(sk25,sk26,sk27,sk26)),
% 0.09/0.48 inference(resolution,[status(thm)],[f379,f228])).
% 0.09/0.48 fof(f386,plain,(
% 0.09/0.48 between_c(ax2_sk4(sk25,sk26,sk27,sk26),sk26,sk27,sk26)),
% 0.09/0.48 inference(resolution,[status(thm)],[f201,f381])).
% 0.09/0.48 fof(f388,plain,(
% 0.09/0.48 $false),
% 0.09/0.48 inference(forward_subsumption_resolution,[status(thm)],[f386,f233])).
% 0.09/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.50 % Elapsed time: 0.115645 seconds
% 0.09/0.50 % CPU time: 0.649372 seconds
% 0.09/0.50 % Total memory used: 90.431 MB
% 0.09/0.50 % Net memory used: 89.761 MB
%------------------------------------------------------------------------------