%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:09:08 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.39 % Computer : n007.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Mon Sep 21 14:08:31 UTC 2026
% 0.11/10.40 % CPUTime :
% 0.15/10.41 % Drodi V4.1.1
% 0.15/10.44 % Refutation found
% 0.15/10.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.44 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.44 fof(f7,axiom,(
% 0.15/10.44 (![A,B,R]: (( ~ member(pair(A,B),R)| member(pair(A,B),trancl(R)) ) ))),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f8,axiom,(
% 0.15/10.44 (![R]: (trans(trancl(R)) ))),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f9,axiom,(
% 0.15/10.44 (![R,A,B,C]: (( ~ trans(R)| ~ member(pair(A,B),R)| ~ member(pair(B,C),R)| member(pair(A,C),R) ) ))),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f10,hypothesis,(
% 0.15/10.44 (![X,Y,YP]: (( ~ member(pair(X,Y),r)| ~ member(pair(X,YP),r)| member(pair(Y,sk1(X,Y,YP)),r) ) ))),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f11,hypothesis,(
% 0.15/10.44 (![X,Y,YP]: (( ~ member(pair(X,Y),r)| ~ member(pair(X,YP),r)| member(pair(YP,sk1(X,Y,YP)),r) ) ))),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f13,hypothesis,(
% 0.15/10.44 member(pair(y,z),r) ),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f14,hypothesis,(
% 0.15/10.44 (![YP]: (( ~ member(pair(x,YP),r)| member(pair(YP,sk2(YP)),trancl(r)) ) ))),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f15,hypothesis,(
% 0.15/10.44 (![YP]: (( ~ member(pair(x,YP),r)| member(pair(y,sk2(YP)),r) ) ))),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f16,negated_conjecture,(
% 0.15/10.44 member(pair(x,sk3),r) ),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f17,negated_conjecture,(
% 0.15/10.44 (![ZA]: (( ~ member(pair(sk3,ZA),trancl(r))| ~ member(pair(z,ZA),r) ) ))),
% 0.15/10.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.44 fof(f26,plain,(
% 0.15/10.44 ![X0,X1,X2]: (~member(pair(X0,X1),X2)|member(pair(X0,X1),trancl(X2)))),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/10.44 fof(f27,plain,(
% 0.15/10.44 ![X0]: (trans(trancl(X0)))),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/10.44 fof(f28,plain,(
% 0.15/10.44 ![R,A,C]: ((![B]: ((~trans(R)|~member(pair(A,B),R))|~member(pair(B,C),R)))|member(pair(A,C),R))),
% 0.15/10.44 inference(miniscoping,[status(thm)],[f9])).
% 0.15/10.44 fof(f29,plain,(
% 0.15/10.44 ![X0,X1,X2,X3]: (~trans(X0)|~member(pair(X1,X2),X0)|~member(pair(X2,X3),X0)|member(pair(X1,X3),X0))),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/10.44 fof(f30,plain,(
% 0.15/10.44 ![X0,X1,X2]: (~member(pair(X0,X1),r)|~member(pair(X0,X2),r)|member(pair(X1,sk1(X0,X1,X2)),r))),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/10.44 fof(f31,plain,(
% 0.15/10.44 ![X0,X1,X2]: (~member(pair(X0,X1),r)|~member(pair(X0,X2),r)|member(pair(X2,sk1(X0,X1,X2)),r))),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/10.44 fof(f33,plain,(
% 0.15/10.44 member(pair(y,z),r)),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/10.44 fof(f34,plain,(
% 0.15/10.44 ![X0]: (~member(pair(x,X0),r)|member(pair(X0,sk2(X0)),trancl(r)))),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/10.44 fof(f35,plain,(
% 0.15/10.44 ![X0]: (~member(pair(x,X0),r)|member(pair(y,sk2(X0)),r))),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/10.44 fof(f36,plain,(
% 0.15/10.44 member(pair(x,sk3),r)),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/10.44 fof(f37,plain,(
% 0.15/10.44 ![X0]: (~member(pair(sk3,X0),trancl(r))|~member(pair(z,X0),r))),
% 0.15/10.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/10.44 fof(f41,plain,(
% 0.15/10.44 ![X0,X1]: (~member(pair(X0,z),r)|~member(pair(X0,X1),r)|~member(pair(sk3,sk1(X0,z,X1)),trancl(r)))),
% 0.15/10.44 inference(resolution,[status(thm)],[f30,f37])).
% 0.15/10.44 fof(f43,plain,(
% 0.15/10.44 ![X0]: (~member(pair(y,X0),r)|~member(pair(sk3,sk1(y,z,X0)),trancl(r)))),
% 0.15/10.44 inference(resolution,[status(thm)],[f41,f33])).
% 0.15/10.44 fof(f46,plain,(
% 0.15/10.44 ![X0,X1]: (~member(pair(y,X0),r)|~trans(trancl(r))|~member(pair(sk3,X1),trancl(r))|~member(pair(X1,sk1(y,z,X0)),trancl(r)))),
% 0.15/10.44 inference(resolution,[status(thm)],[f43,f29])).
% 0.15/10.44 fof(f47,plain,(
% 0.15/10.44 ![X0,X1]: (~member(pair(y,X0),r)|~member(pair(sk3,X1),trancl(r))|~member(pair(X1,sk1(y,z,X0)),trancl(r)))),
% 0.15/10.44 inference(forward_subsumption_resolution,[status(thm)],[f46,f27])).
% 0.15/10.44 fof(f61,plain,(
% 0.15/10.44 ![X0,X1]: (~member(pair(y,X0),r)|~member(pair(sk3,X1),trancl(r))|~member(pair(X1,sk1(y,z,X0)),r))),
% 0.15/10.44 inference(resolution,[status(thm)],[f47,f26])).
% 0.15/10.44 fof(f64,plain,(
% 0.15/10.44 ![X0]: (~member(pair(y,X0),r)|~member(pair(sk2(sk3),sk1(y,z,X0)),r)|~member(pair(x,sk3),r))),
% 0.15/10.44 inference(resolution,[status(thm)],[f61,f34])).
% 0.15/10.44 fof(f67,plain,(
% 0.15/10.44 ![X0]: (~member(pair(y,X0),r)|~member(pair(sk2(sk3),sk1(y,z,X0)),r))),
% 0.15/10.44 inference(forward_subsumption_resolution,[status(thm)],[f64,f36])).
% 0.15/10.44 fof(f69,plain,(
% 0.15/10.44 ~member(pair(y,sk2(sk3)),r)|~member(pair(y,z),r)|~member(pair(y,sk2(sk3)),r)),
% 0.15/10.44 inference(resolution,[status(thm)],[f67,f31])).
% 0.15/10.44 fof(f71,plain,(
% 0.15/10.44 ~member(pair(y,sk2(sk3)),r)|~member(pair(y,z),r)),
% 0.15/10.44 inference(duplicate_literals_removal,[status(thm)],[f69])).
% 0.15/10.44 fof(f72,plain,(
% 0.15/10.44 ~member(pair(y,sk2(sk3)),r)),
% 0.15/10.44 inference(forward_subsumption_resolution,[status(thm)],[f71,f33])).
% 0.15/10.44 fof(f73,plain,(
% 0.15/10.44 ~member(pair(x,sk3),r)),
% 0.15/10.44 inference(resolution,[status(thm)],[f72,f35])).
% 0.15/10.44 fof(f75,plain,(
% 0.15/10.44 $false),
% 0.15/10.44 inference(forward_subsumption_resolution,[status(thm)],[f73,f36])).
% 0.15/10.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.46 % Elapsed time: 0.059841 seconds
% 0.15/10.46 % CPU time: 0.175378 seconds
% 0.15/10.46 % Total memory used: 34.271 MB
% 0.15/10.46 % Net memory used: 33.965 MB
%------------------------------------------------------------------------------