%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL100-1 : 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 : n006.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 0.19s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n006.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 14:10:43 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.50 fof(f7,axiom,(
% 0.19/0.50 (![A,B,R]: (( ~ member(pair(A,B),R)| member(pair(A,B),trancl(R)) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f8,axiom,(
% 0.19/0.50 (![R]: (trans(trancl(R)) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f9,axiom,(
% 0.19/0.50 (![R,A,B,C]: (( ~ trans(R)| ~ member(pair(A,B),R)| ~ member(pair(B,C),R)| member(pair(A,C),R) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f10,axiom,(
% 0.19/0.50 (![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)) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f11,axiom,(
% 0.19/0.50 (![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) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f12,hypothesis,(
% 0.19/0.50 diamond(r) ),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f14,hypothesis,(
% 0.19/0.50 member(pair(ya,z),r) ),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f15,hypothesis,(
% 0.19/0.50 (![YP]: (( ~ member(pair(y,YP),trancl(r))| member(pair(ya,sk1(YP)),trancl(r)) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f16,hypothesis,(
% 0.19/0.50 (![YP]: (( ~ member(pair(y,YP),trancl(r))| member(pair(YP,sk1(YP)),trancl(r)) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f17,negated_conjecture,(
% 0.19/0.50 member(pair(y,yp),trancl(r)) ),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f18,negated_conjecture,(
% 0.19/0.50 (![ZA]: (( ~ member(pair(z,ZA),trancl(r))| ~ member(pair(yp,ZA),trancl(r)) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f27,plain,(
% 0.19/0.50 ![X0,X1,X2]: (~member(pair(X0,X1),X2)|member(pair(X0,X1),trancl(X2)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.50 fof(f28,plain,(
% 0.19/0.50 ![X0]: (trans(trancl(X0)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.19/0.50 fof(f29,plain,(
% 0.19/0.50 ![R,A,C]: ((![B]: ((~trans(R)|~member(pair(A,B),R))|~member(pair(B,C),R)))|member(pair(A,C),R))),
% 0.19/0.50 inference(miniscoping,[status(thm)],[f9])).
% 0.19/0.50 fof(f30,plain,(
% 0.19/0.50 ![X0,X1,X2,X3]: (~trans(X0)|~member(pair(X1,X2),X0)|~member(pair(X2,X3),X0)|member(pair(X1,X3),X0))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f29])).
% 0.19/0.50 fof(f31,plain,(
% 0.19/0.50 ![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)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f10])).
% 0.19/0.50 fof(f32,plain,(
% 0.19/0.50 ![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))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f11])).
% 0.19/0.50 fof(f33,plain,(
% 0.19/0.50 diamond(r)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.50 fof(f35,plain,(
% 0.19/0.50 member(pair(ya,z),r)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.50 fof(f36,plain,(
% 0.19/0.50 ![X0]: (~member(pair(y,X0),trancl(r))|member(pair(ya,sk1(X0)),trancl(r)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f15])).
% 0.19/0.50 fof(f37,plain,(
% 0.19/0.50 ![X0]: (~member(pair(y,X0),trancl(r))|member(pair(X0,sk1(X0)),trancl(r)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.50 fof(f38,plain,(
% 0.19/0.50 member(pair(y,yp),trancl(r))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f17])).
% 0.19/0.50 fof(f39,plain,(
% 0.19/0.50 ![X0]: (~member(pair(z,X0),trancl(r))|~member(pair(yp,X0),trancl(r)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f18])).
% 0.19/0.50 fof(f43,plain,(
% 0.19/0.50 ![X0,X1]: (~member(pair(z,X0),trancl(r))|~trans(trancl(r))|~member(pair(yp,X1),trancl(r))|~member(pair(X1,X0),trancl(r)))),
% 0.19/0.50 inference(resolution,[status(thm)],[f39,f30])).
% 0.19/0.50 fof(f44,plain,(
% 0.19/0.50 ![X0,X1]: (~member(pair(z,X0),trancl(r))|~member(pair(yp,X1),trancl(r))|~member(pair(X1,X0),trancl(r)))),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f43,f28])).
% 0.19/0.50 fof(f64,plain,(
% 0.19/0.50 ![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))),
% 0.19/0.51 inference(resolution,[status(thm)],[f32,f33])).
% 0.19/0.51 fof(f67,plain,(
% 0.19/0.51 ![X0]: (~member(pair(z,X0),trancl(r))|~member(pair(sk1(yp),X0),trancl(r))|~member(pair(y,yp),trancl(r)))),
% 0.19/0.51 inference(resolution,[status(thm)],[f44,f37])).
% 0.19/0.51 fof(f71,plain,(
% 0.19/0.51 ![X0]: (~member(pair(z,X0),trancl(r))|~member(pair(sk1(yp),X0),trancl(r)))),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f67,f38])).
% 0.19/0.51 fof(f75,plain,(
% 0.19/0.51 ![X0]: (~member(pair(z,X0),trancl(r))|~member(pair(sk1(yp),X0),r))),
% 0.19/0.51 inference(resolution,[status(thm)],[f71,f27])).
% 0.19/0.51 fof(f86,plain,(
% 0.19/0.51 ![X0]: (~member(pair(ya,X0),trancl(r))|member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),r))),
% 0.19/0.51 inference(resolution,[status(thm)],[f64,f35])).
% 0.19/0.51 fof(f88,plain,(
% 0.19/0.51 ![X0]: (member(pair(sk1(X0),diamond_strip_lemmaD_sk1(ya,sk1(X0),z,r)),r)|~member(pair(y,X0),trancl(r)))),
% 0.19/0.51 inference(resolution,[status(thm)],[f86,f36])).
% 0.19/0.51 fof(f113,plain,(
% 0.19/0.51 ~member(pair(y,yp),trancl(r))|~member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))),
% 0.19/0.51 inference(resolution,[status(thm)],[f88,f75])).
% 0.19/0.51 fof(f115,plain,(
% 0.19/0.51 ~member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f113,f38])).
% 0.19/0.51 fof(f116,plain,(
% 0.19/0.51 ~diamond(r)|~member(pair(ya,sk1(yp)),trancl(r))|~member(pair(ya,z),r)),
% 0.19/0.51 inference(resolution,[status(thm)],[f115,f31])).
% 0.19/0.51 fof(f119,plain,(
% 0.19/0.51 ~member(pair(ya,sk1(yp)),trancl(r))|~member(pair(ya,z),r)),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f116,f33])).
% 0.19/0.51 fof(f122,plain,(
% 0.19/0.51 ~member(pair(ya,sk1(yp)),trancl(r))),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f119,f35])).
% 0.19/0.51 fof(f123,plain,(
% 0.19/0.51 ~member(pair(y,yp),trancl(r))),
% 0.19/0.51 inference(resolution,[status(thm)],[f122,f36])).
% 0.19/0.51 fof(f126,plain,(
% 0.19/0.51 $false),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f123,f38])).
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.53 % Elapsed time: 0.064080 seconds
% 0.23/0.53 % CPU time: 0.210032 seconds
% 0.23/0.53 % Total memory used: 42.243 MB
% 0.23/0.53 % Net memory used: 41.838 MB
%------------------------------------------------------------------------------