%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 0.22s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.66 % Computer : n001.cluster.edu
% 0.17/0.66 % Model : x86_64 x86_64
% 0.17/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.66 % Memory : 8046.5625MB
% 0.17/0.66 % OS : Linux 6.8.0-71-generic
% 0.17/0.66 % CPULimit : 300
% 0.17/0.66 % WCLimit : 300
% 0.17/0.66 % DateTime : Mon Sep 21 14:16:15 UTC 2026
% 0.17/0.67 % CPUTime :
% 0.17/0.68 % Drodi V4.1.1
% 0.22/0.71 % Refutation found
% 0.22/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.71 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.71 fof(f7,axiom,(
% 0.22/0.71 (![A,B,R]: (( ~ member(pair(A,B),R)| member(pair(A,B),trancl(R)) ) ))),
% 0.22/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.71 fof(f10,axiom,(
% 0.22/0.71 (![R,X,Y,YP]: (( ~ diamond(R)| ~ member(pair(X,Y),trancl(R))| ~ member(pair(X,YP),R)| member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R)) ) ))),
% 0.22/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.71 fof(f11,axiom,(
% 0.22/0.71 (![R,X,Y,YP]: (( ~ diamond(R)| ~ member(pair(X,Y),trancl(R))| ~ member(pair(X,YP),R)| member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R) ) ))),
% 0.22/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.71 fof(f12,hypothesis,(
% 0.22/0.71 diamond(r) ),
% 0.22/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.71 fof(f13,hypothesis,(
% 0.22/0.71 member(pair(y,ya),r) ),
% 0.22/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.71 fof(f14,negated_conjecture,(
% 0.22/0.71 member(pair(y,yp),trancl(r)) ),
% 0.22/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.71 fof(f15,negated_conjecture,(
% 0.22/0.71 (![Z]: (( ~ member(pair(ya,Z),trancl(r))| ~ member(pair(yp,Z),trancl(r)) ) ))),
% 0.22/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.71 fof(f24,plain,(
% 0.22/0.71 ![X0,X1,X2]: (~member(pair(X0,X1),X2)|member(pair(X0,X1),trancl(X2)))),
% 0.22/0.71 inference(cnf_transformation,[status(thm)],[f7])).
% 0.22/0.71 fof(f28,plain,(
% 0.22/0.71 ![X0,X1,X2,X3]: (~diamond(X0)|~member(pair(X1,X2),trancl(X0))|~member(pair(X1,X3),X0)|member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0)))),
% 0.22/0.71 inference(cnf_transformation,[status(thm)],[f10])).
% 0.22/0.71 fof(f29,plain,(
% 0.22/0.71 ![X0,X1,X2,X3]: (~diamond(X0)|~member(pair(X1,X2),trancl(X0))|~member(pair(X1,X3),X0)|member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0))),
% 0.22/0.71 inference(cnf_transformation,[status(thm)],[f11])).
% 0.22/0.71 fof(f30,plain,(
% 0.22/0.71 diamond(r)),
% 0.22/0.71 inference(cnf_transformation,[status(thm)],[f12])).
% 0.22/0.71 fof(f31,plain,(
% 0.22/0.71 member(pair(y,ya),r)),
% 0.22/0.71 inference(cnf_transformation,[status(thm)],[f13])).
% 0.22/0.71 fof(f32,plain,(
% 0.22/0.71 member(pair(y,yp),trancl(r))),
% 0.22/0.71 inference(cnf_transformation,[status(thm)],[f14])).
% 0.22/0.71 fof(f33,plain,(
% 0.22/0.71 ![X0]: (~member(pair(ya,X0),trancl(r))|~member(pair(yp,X0),trancl(r)))),
% 0.22/0.71 inference(cnf_transformation,[status(thm)],[f15])).
% 0.22/0.71 fof(f38,plain,(
% 0.22/0.71 ![X0,X1]: (~diamond(r)|~member(pair(X0,X1),trancl(r))|~member(pair(X0,ya),r)|~member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),trancl(r)))),
% 0.22/0.71 inference(resolution,[status(thm)],[f28,f33])).
% 0.22/0.71 fof(f39,plain,(
% 0.22/0.71 ![X0,X1]: (~member(pair(X0,X1),trancl(r))|~member(pair(X0,ya),r)|~member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),trancl(r)))),
% 0.22/0.71 inference(forward_subsumption_resolution,[status(thm)],[f38,f30])).
% 0.22/0.71 fof(f40,plain,(
% 0.22/0.71 ![X0]: (~member(pair(y,X0),trancl(r))|~member(pair(yp,diamond_strip_lemmaD_sk1(y,X0,ya,r)),trancl(r)))),
% 0.22/0.71 inference(resolution,[status(thm)],[f39,f31])).
% 0.22/0.71 fof(f41,plain,(
% 0.22/0.71 ![X0]: (~member(pair(y,X0),trancl(r))|~member(pair(yp,diamond_strip_lemmaD_sk1(y,X0,ya,r)),r))),
% 0.22/0.71 inference(resolution,[status(thm)],[f40,f24])).
% 0.22/0.71 fof(f42,plain,(
% 0.22/0.71 ![X0,X1,X2]: (~member(pair(X0,X1),trancl(r))|~member(pair(X0,X2),r)|member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,X2,r)),r))),
% 0.22/0.71 inference(resolution,[status(thm)],[f29,f30])).
% 0.22/0.71 fof(f45,plain,(
% 0.22/0.71 ![X0]: (~member(pair(y,X0),trancl(r))|member(pair(X0,diamond_strip_lemmaD_sk1(y,X0,ya,r)),r))),
% 0.22/0.71 inference(resolution,[status(thm)],[f42,f31])).
% 0.22/0.71 fof(f46,plain,(
% 0.22/0.71 ~member(pair(y,yp),trancl(r))|~member(pair(y,yp),trancl(r))),
% 0.22/0.71 inference(resolution,[status(thm)],[f45,f41])).
% 0.22/0.71 fof(f49,plain,(
% 0.22/0.71 ~member(pair(y,yp),trancl(r))),
% 0.22/0.71 inference(duplicate_literals_removal,[status(thm)],[f46])).
% 0.22/0.71 fof(f50,plain,(
% 0.22/0.71 $false),
% 0.22/0.71 inference(forward_subsumption_resolution,[status(thm)],[f49,f32])).
% 0.22/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.77 % Elapsed time: 0.095306 seconds
% 0.22/0.77 % CPU time: 0.094970 seconds
% 0.22/0.77 % Total memory used: 2.853 MB
% 0.22/0.77 % Net memory used: 2.844 MB
%------------------------------------------------------------------------------