%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO001-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:25:30 PM UTC 2026
% Result : Unsatisfiable 2.74s 0.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO001-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 08:14:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 2.74/0.77 % Refutation found
% 2.74/0.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.74/0.77 % SZS output start CNFRefutation for theBenchmark
% 2.74/0.77 fof(f7,axiom,(
% 2.74/0.77 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 2.74/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.74/0.77 fof(f8,axiom,(
% 2.74/0.77 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 2.74/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.74/0.77 fof(f9,axiom,(
% 2.74/0.77 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 2.74/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.74/0.77 fof(f44,axiom,(
% 2.74/0.77 (![U,V]: (between(U,V,V) ))),
% 2.74/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.74/0.77 fof(f46,hypothesis,(
% 2.74/0.77 between(a,b,c) ),
% 2.74/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.74/0.77 fof(f47,negated_conjecture,(
% 2.74/0.77 ~ between(c,b,a) ),
% 2.74/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.74/0.77 fof(f57,plain,(
% 2.74/0.77 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 2.74/0.77 inference(cnf_transformation,[status(thm)],[f7])).
% 2.74/0.77 fof(f58,plain,(
% 2.74/0.77 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 2.74/0.77 inference(cnf_transformation,[status(thm)],[f8])).
% 2.74/0.77 fof(f59,plain,(
% 2.74/0.77 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 2.74/0.77 inference(cnf_transformation,[status(thm)],[f9])).
% 2.74/0.77 fof(f100,plain,(
% 2.74/0.77 ![X0,X1]: (between(X0,X1,X1))),
% 2.74/0.77 inference(cnf_transformation,[status(thm)],[f44])).
% 2.74/0.77 fof(f103,plain,(
% 2.74/0.77 between(a,b,c)),
% 2.74/0.77 inference(cnf_transformation,[status(thm)],[f46])).
% 2.74/0.77 fof(f104,plain,(
% 2.74/0.77 ~between(c,b,a)),
% 2.74/0.77 inference(cnf_transformation,[status(thm)],[f47])).
% 2.74/0.77 fof(f160,plain,(
% 2.74/0.77 ![X0,X1]: (~between(X0,X1,c)|between(X1,inner_pasch(a,b,c,X1,X0),a))),
% 2.74/0.77 inference(resolution,[status(thm)],[f103,f59])).
% 2.74/0.77 fof(f161,plain,(
% 2.74/0.77 ![X0,X1]: (~between(X0,X1,c)|between(b,inner_pasch(a,b,c,X1,X0),X0))),
% 2.74/0.77 inference(resolution,[status(thm)],[f103,f58])).
% 2.74/0.77 fof(f382,plain,(
% 2.74/0.77 ![X0]: (between(c,inner_pasch(a,b,c,c,X0),a))),
% 2.74/0.77 inference(resolution,[status(thm)],[f160,f100])).
% 2.74/0.77 fof(f403,plain,(
% 2.74/0.77 ![X0]: (between(b,inner_pasch(a,b,c,c,X0),X0))),
% 2.74/0.77 inference(resolution,[status(thm)],[f161,f100])).
% 2.74/0.77 fof(f3360,plain,(
% 2.74/0.77 b=inner_pasch(a,b,c,c,b)),
% 2.74/0.77 inference(resolution,[status(thm)],[f403,f57])).
% 2.74/0.77 fof(f3363,plain,(
% 2.74/0.77 between(c,b,a)),
% 2.74/0.77 inference(paramodulation,[status(thm)],[f3360,f382])).
% 2.74/0.77 fof(f3364,plain,(
% 2.74/0.77 $false),
% 2.74/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3363,f104])).
% 2.74/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 2.74/0.78 % Elapsed time: 0.417696 seconds
% 2.74/0.78 % CPU time: 3.056792 seconds
% 2.74/0.78 % Total memory used: 118.100 MB
% 2.74/0.78 % Net memory used: 115.025 MB
%------------------------------------------------------------------------------