%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN191-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:19:06 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN191-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:40:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 s0(d) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f5,axiom,(
% 0.13/0.41 s0(b) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f9,axiom,(
% 0.13/0.41 r0(b) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f18,axiom,(
% 0.13/0.41 p0(c,b) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f20,axiom,(
% 0.13/0.41 l0(a) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f24,axiom,(
% 0.13/0.41 l0(c) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f73,axiom,(
% 0.13/0.41 (![I,J]: (( m1(I,J,I)| ~ r0(I)| ~ l0(J) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f95,axiom,(
% 0.13/0.41 (![D]: (( n1(D,D,D)| ~ r0(D) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f190,axiom,(
% 0.13/0.41 (![C,D,E]: (( p2(C,D,D)| ~ n1(E,D,E)| ~ p0(C,D)| ~ p2(C,D,C) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f214,axiom,(
% 0.13/0.41 (![D,E]: (( p2(D,E,D)| ~ m1(E,D,E) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f305,axiom,(
% 0.13/0.41 (![B,C,D]: (( r3(B,C,B)| ~ p2(B,D,C) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f369,negated_conjecture,(
% 0.13/0.41 ~ r3(c,b,c) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f370,plain,(
% 0.13/0.41 s0(d)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.41 fof(f374,plain,(
% 0.13/0.41 s0(b)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.41 fof(f378,plain,(
% 0.13/0.41 r0(b)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.41 fof(f387,plain,(
% 0.13/0.41 p0(c,b)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.41 fof(f389,plain,(
% 0.13/0.41 l0(a)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.41 fof(f393,plain,(
% 0.13/0.41 l0(c)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.41 fof(f464,plain,(
% 0.13/0.41 ![J]: ((![I]: (m1(I,J,I)|~r0(I)))|~l0(J))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f73])).
% 0.13/0.41 fof(f465,plain,(
% 0.13/0.41 ![X0,X1]: (m1(X0,X1,X0)|~r0(X0)|~l0(X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f464])).
% 0.13/0.41 fof(f499,plain,(
% 0.13/0.41 ![X0]: (n1(X0,X0,X0)|~r0(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f95])).
% 0.13/0.41 fof(f649,plain,(
% 0.13/0.41 ![C,D]: (((p2(C,D,D)|(![E]: ~n1(E,D,E)))|~p0(C,D))|~p2(C,D,C))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f190])).
% 0.13/0.41 fof(f650,plain,(
% 0.13/0.41 ![X0,X1,X2]: (p2(X0,X1,X1)|~n1(X2,X1,X2)|~p0(X0,X1)|~p2(X0,X1,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f649])).
% 0.13/0.41 fof(f685,plain,(
% 0.13/0.41 ![X0,X1]: (p2(X0,X1,X0)|~m1(X1,X0,X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f214])).
% 0.13/0.41 fof(f820,plain,(
% 0.13/0.41 ![B,C]: (r3(B,C,B)|(![D]: ~p2(B,D,C)))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f305])).
% 0.13/0.41 fof(f821,plain,(
% 0.13/0.41 ![X0,X1,X2]: (r3(X0,X1,X0)|~p2(X0,X2,X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f820])).
% 0.13/0.41 fof(f924,plain,(
% 0.13/0.41 ~r3(c,b,c)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f369])).
% 0.13/0.41 fof(f987,definition,(
% 0.13/0.41 sQ18_spl <=> (s0(d))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f989,plain,(
% 0.13/0.41 ~s0(d)|sQ18_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f987])).
% 0.13/0.41 fof(f994,definition,(
% 0.13/0.41 sQ20_spl <=> (l0(c))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f996,plain,(
% 0.13/0.41 ~l0(c)|sQ20_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f994])).
% 0.13/0.41 fof(f1005,definition,(
% 0.13/0.41 sQ23_spl <=> (l0(a))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f1007,plain,(
% 0.13/0.41 ~l0(a)|sQ23_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f1005])).
% 0.13/0.41 fof(f1051,definition,(
% 0.13/0.41 sQ36_spl <=> (s0(b))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f1053,plain,(
% 0.13/0.41 ~s0(b)|sQ36_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f1051])).
% 0.13/0.41 fof(f1100,definition,(
% 0.13/0.41 sQ50_spl <=> (r0(b))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f1102,plain,(
% 0.13/0.41 ~r0(b)|sQ50_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f1100])).
% 0.13/0.41 fof(f2024,plain,(
% 0.13/0.41 $false|sQ20_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f996,f393])).
% 0.13/0.41 fof(f2025,plain,(
% 0.13/0.41 sQ20_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f2024])).
% 0.13/0.41 fof(f2110,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~n1(X0,X1,X0)|~p0(X2,X1)|~p2(X2,X1,X2)|r3(X2,X1,X2))),
% 0.13/0.41 inference(resolution,[status(thm)],[f650,f821])).
% 0.13/0.41 fof(f2123,plain,(
% 0.13/0.41 ![X0]: (~n1(X0,b,X0)|~p2(c,b,c)|r3(c,b,c))),
% 0.13/0.41 inference(resolution,[status(thm)],[f2110,f387])).
% 0.13/0.41 fof(f2125,definition,(
% 0.13/0.41 ![X0]: (sQ318_spl <=> (~n1(X0,b,X0)))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f2126,plain,(
% 0.13/0.41 ![X0]: (~n1(X0,b,X0)|~sQ318_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f2125])).
% 0.13/0.41 fof(f2128,definition,(
% 0.13/0.41 sQ319_spl <=> (p2(c,b,c))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f2130,plain,(
% 0.13/0.41 ~p2(c,b,c)|sQ319_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f2128])).
% 0.13/0.41 fof(f2131,definition,(
% 0.13/0.41 sQ320_spl <=> (r3(c,b,c))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f2132,plain,(
% 0.13/0.41 r3(c,b,c)|~sQ320_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f2131])).
% 0.13/0.41 fof(f2134,plain,(
% 0.13/0.41 sQ318_spl|~sQ319_spl|sQ320_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f2123,f2125,f2128,f2131])).
% 0.13/0.41 fof(f2135,plain,(
% 0.13/0.41 $false|~sQ320_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2132,f924])).
% 0.13/0.41 fof(f2136,plain,(
% 0.13/0.41 ~sQ320_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f2135])).
% 0.13/0.41 fof(f2149,plain,(
% 0.13/0.41 ~r0(b)|~sQ318_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f2126,f499])).
% 0.13/0.41 fof(f2314,plain,(
% 0.13/0.41 ~m1(b,c,b)|sQ319_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f685,f2130])).
% 0.13/0.41 fof(f2377,plain,(
% 0.13/0.41 $false|sQ50_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f378,f1102])).
% 0.13/0.41 fof(f2378,plain,(
% 0.13/0.41 sQ50_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f2377])).
% 0.13/0.41 fof(f2379,plain,(
% 0.13/0.41 ~sQ50_spl|~sQ318_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f2149,f1100,f2125])).
% 0.13/0.41 fof(f2407,plain,(
% 0.13/0.41 $false|sQ36_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f374,f1053])).
% 0.13/0.41 fof(f2408,plain,(
% 0.13/0.41 sQ36_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f2407])).
% 0.13/0.41 fof(f2409,plain,(
% 0.13/0.41 $false|sQ18_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f370,f989])).
% 0.13/0.41 fof(f2410,plain,(
% 0.13/0.41 sQ18_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f2409])).
% 0.13/0.41 fof(f2414,plain,(
% 0.13/0.41 $false|sQ23_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f389,f1007])).
% 0.13/0.41 fof(f2415,plain,(
% 0.13/0.41 sQ23_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f2414])).
% 0.13/0.41 fof(f2445,plain,(
% 0.13/0.41 ~r0(b)|~l0(c)|sQ319_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f2314,f465])).
% 0.13/0.41 fof(f2447,plain,(
% 0.13/0.41 ~sQ50_spl|~sQ20_spl|sQ319_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f2445,f1100,f994,f2128])).
% 0.13/0.41 fof(f2448,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f2025,f2134,f2136,f2378,f2379,f2408,f2410,f2415,f2447])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 1.44/1.64 % Elapsed time: 1.075414 seconds
% 1.44/1.64 % CPU time: 0.288982 seconds
% 1.44/1.64 % Total memory used: 70.312 MB
% 1.44/1.64 % Net memory used: 69.968 MB
%------------------------------------------------------------------------------