%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 12:25:41 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n014.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 20 09:25:49 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.20/0.44 % Drodi V4.1.1
% 0.20/0.46 % Refutation found
% 0.20/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.46 fof(f49,axiom,(
% 0.20/0.46 (![U,V]: (between(U,V,V) ))),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f88,axiom,(
% 0.20/0.46 (![W,V,U]: (( ~ between(W,V,U)| colinear(U,V,W) ) ))),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f89,axiom,(
% 0.20/0.46 (![U,W,V]: (( ~ between(U,W,V)| colinear(U,V,W) ) ))),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f90,axiom,(
% 0.20/0.46 (![V,U,W]: (( ~ between(V,U,W)| colinear(U,V,W) ) ))),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f97,negated_conjecture,(
% 0.20/0.46 ( ~ colinear(x,x,y)| ~ colinear(x,y,x)| ~ colinear(y,x,x)| x = y ) ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f98,negated_conjecture,(
% 0.20/0.46 ( ~ colinear(x,x,y)| ~ colinear(x,y,x)| ~ colinear(y,x,x)| ~ colinear(x,z,y) ) ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f156,plain,(
% 0.20/0.46 ![X0,X1]: (between(X0,X1,X1))),
% 0.20/0.46 inference(cnf_transformation,[status(thm)],[f49])).
% 0.20/0.46 fof(f221,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X2,X1,X0))),
% 0.20/0.46 inference(cnf_transformation,[status(thm)],[f88])).
% 0.20/0.46 fof(f222,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X0,X2,X1))),
% 0.20/0.46 inference(cnf_transformation,[status(thm)],[f89])).
% 0.20/0.46 fof(f223,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X1,X0,X2))),
% 0.20/0.46 inference(cnf_transformation,[status(thm)],[f90])).
% 0.20/0.46 fof(f230,plain,(
% 0.20/0.46 ~colinear(x,x,y)|~colinear(x,y,x)|~colinear(y,x,x)|x=y),
% 0.20/0.46 inference(cnf_transformation,[status(thm)],[f97])).
% 0.20/0.46 fof(f231,plain,(
% 0.20/0.46 ~colinear(x,x,y)|~colinear(x,y,x)|~colinear(y,x,x)|~colinear(x,z,y)),
% 0.20/0.46 inference(cnf_transformation,[status(thm)],[f98])).
% 0.20/0.46 fof(f232,definition,(
% 0.20/0.46 sQ0_spl <=> (colinear(x,x,y))),
% 0.20/0.46 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.20/0.46 fof(f234,plain,(
% 0.20/0.46 ~colinear(x,x,y)|sQ0_spl),
% 0.20/0.46 inference(component_clause,[status(thm)],[f232])).
% 0.20/0.46 fof(f235,definition,(
% 0.20/0.46 sQ1_spl <=> (colinear(x,y,x))),
% 0.20/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.20/0.46 fof(f237,plain,(
% 0.20/0.46 ~colinear(x,y,x)|sQ1_spl),
% 0.20/0.46 inference(component_clause,[status(thm)],[f235])).
% 0.20/0.46 fof(f238,definition,(
% 0.20/0.46 sQ2_spl <=> (colinear(y,x,x))),
% 0.20/0.46 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.20/0.46 fof(f240,plain,(
% 0.20/0.46 ~colinear(y,x,x)|sQ2_spl),
% 0.20/0.46 inference(component_clause,[status(thm)],[f238])).
% 0.20/0.46 fof(f241,definition,(
% 0.20/0.46 sQ3_spl <=> (x=y)),
% 0.20/0.46 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.20/0.46 fof(f242,plain,(
% 0.20/0.46 x=y|~sQ3_spl),
% 0.20/0.46 inference(component_clause,[status(thm)],[f241])).
% 0.20/0.46 fof(f244,plain,(
% 0.20/0.46 ~sQ0_spl|~sQ1_spl|~sQ2_spl|sQ3_spl),
% 0.20/0.46 inference(split_clause,[status(thm)],[f230,f232,f235,f238,f241])).
% 0.20/0.46 fof(f245,definition,(
% 0.20/0.46 sQ4_spl <=> (colinear(x,z,y))),
% 0.20/0.46 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.20/0.46 fof(f247,plain,(
% 0.20/0.46 ~colinear(x,z,y)|sQ4_spl),
% 0.20/0.46 inference(component_clause,[status(thm)],[f245])).
% 0.20/0.46 fof(f248,plain,(
% 0.20/0.46 ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl),
% 0.20/0.46 inference(split_clause,[status(thm)],[f231,f232,f235,f238,f245])).
% 0.20/0.46 fof(f255,plain,(
% 0.20/0.46 ![X0,X1]: (colinear(X0,X1,X0))),
% 0.20/0.46 inference(resolution,[status(thm)],[f156,f223])).
% 0.20/0.46 fof(f256,plain,(
% 0.20/0.46 ![X0,X1]: (colinear(X0,X1,X1))),
% 0.20/0.46 inference(resolution,[status(thm)],[f156,f222])).
% 0.20/0.46 fof(f257,plain,(
% 0.20/0.46 ![X0,X1]: (colinear(X0,X0,X1))),
% 0.20/0.46 inference(resolution,[status(thm)],[f156,f221])).
% 0.20/0.46 fof(f273,plain,(
% 0.20/0.46 $false|sQ2_spl),
% 0.20/0.46 inference(backward_subsumption_resolution,[status(thm)],[f240,f256])).
% 0.20/0.46 fof(f280,plain,(
% 0.20/0.46 sQ2_spl),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f273])).
% 0.20/0.46 fof(f281,plain,(
% 0.20/0.46 $false|sQ1_spl),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f237,f255])).
% 0.20/0.46 fof(f282,plain,(
% 0.20/0.46 sQ1_spl),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f281])).
% 0.20/0.46 fof(f299,plain,(
% 0.20/0.46 $false|sQ0_spl),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f234,f257])).
% 0.20/0.46 fof(f300,plain,(
% 0.20/0.46 sQ0_spl),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f299])).
% 0.20/0.46 fof(f301,plain,(
% 0.20/0.46 ~colinear(y,z,y)|~sQ3_spl|sQ4_spl),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f242,f247])).
% 0.20/0.46 fof(f302,plain,(
% 0.20/0.46 $false|~sQ3_spl|sQ4_spl),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f301,f255])).
% 0.20/0.46 fof(f303,plain,(
% 0.20/0.46 ~sQ3_spl|sQ4_spl),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f302])).
% 0.20/0.46 fof(f304,plain,(
% 0.20/0.46 $false),
% 0.20/0.46 inference(sat_refutation,[status(thm)],[f244,f248,f280,f282,f300,f303])).
% 0.20/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.51 % Elapsed time: 0.084090 seconds
% 0.20/0.51 % CPU time: 0.130209 seconds
% 0.20/0.51 % Total memory used: 26.212 MB
% 0.20/0.51 % Net memory used: 26.193 MB
%------------------------------------------------------------------------------