%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN109-1 : 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 : n011.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 03:18:58 PM UTC 2026
% Result : Unsatisfiable 0.11s 10.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN109-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.36 % Computer : n011.cluster.edu
% 0.08/10.36 % Model : x86_64 x86_64
% 0.08/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.36 % Memory : 8046.5625MB
% 0.08/10.36 % OS : Linux 6.8.0-71-generic
% 0.08/10.36 % CPULimit : 300
% 0.08/10.36 % WCLimit : 300
% 0.08/10.36 % DateTime : Mon Sep 21 10:43:50 UTC 2026
% 0.08/10.36 % CPUTime :
% 0.08/10.38 % Drodi V4.1.1
% 0.11/10.42 % Refutation found
% 0.11/10.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/10.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/10.42 fof(f5,axiom,(
% 0.11/10.42 s0(b) ),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f14,axiom,(
% 0.11/10.42 (![X]: (p0(b,X) ))),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f26,axiom,(
% 0.11/10.42 n0(d,c) ),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f33,axiom,(
% 0.11/10.42 q0(d,c) ),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f39,axiom,(
% 0.11/10.42 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f67,axiom,(
% 0.11/10.42 (![H,I]: (( m1(H,I,H)| ~ p0(H,I)| ~ s0(H) ) ))),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f131,axiom,(
% 0.11/10.42 (![H,I]: (( q1(H,H,H)| ~ q0(I,H) ) ))),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f165,axiom,(
% 0.11/10.42 (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f167,axiom,(
% 0.11/10.42 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f369,negated_conjecture,(
% 0.11/10.42 ~ k2(b,c) ),
% 0.11/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/10.42 fof(f374,plain,(
% 0.11/10.42 s0(b)),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/10.42 fof(f383,plain,(
% 0.11/10.42 ![X0]: (p0(b,X0))),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/10.42 fof(f395,plain,(
% 0.11/10.42 n0(d,c)),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/10.42 fof(f402,plain,(
% 0.11/10.42 q0(d,c)),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.11/10.42 fof(f408,plain,(
% 0.11/10.42 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.11/10.42 inference(miniscoping,[status(thm)],[f39])).
% 0.11/10.42 fof(f409,plain,(
% 0.11/10.42 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f408])).
% 0.11/10.42 fof(f454,plain,(
% 0.11/10.42 ![H]: ((![I]: (m1(H,I,H)|~p0(H,I)))|~s0(H))),
% 0.11/10.42 inference(miniscoping,[status(thm)],[f67])).
% 0.11/10.42 fof(f455,plain,(
% 0.11/10.42 ![X0,X1]: (m1(X0,X1,X0)|~p0(X0,X1)|~s0(X0))),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f454])).
% 0.11/10.42 fof(f556,plain,(
% 0.11/10.42 ![H]: (q1(H,H,H)|(![I]: ~q0(I,H)))),
% 0.11/10.42 inference(miniscoping,[status(thm)],[f131])).
% 0.11/10.42 fof(f557,plain,(
% 0.11/10.42 ![X0,X1]: (q1(X0,X0,X0)|~q0(X1,X0))),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f556])).
% 0.11/10.42 fof(f610,plain,(
% 0.11/10.42 ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.11/10.42 inference(miniscoping,[status(thm)],[f165])).
% 0.11/10.42 fof(f611,plain,(
% 0.11/10.42 ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f610])).
% 0.11/10.42 fof(f613,plain,(
% 0.11/10.42 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.11/10.42 inference(miniscoping,[status(thm)],[f167])).
% 0.11/10.42 fof(f614,plain,(
% 0.11/10.42 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f613])).
% 0.11/10.42 fof(f924,plain,(
% 0.11/10.42 ~k2(b,c)),
% 0.11/10.42 inference(cnf_transformation,[status(thm)],[f369])).
% 0.11/10.42 fof(f932,plain,(
% 0.11/10.42 k1(c)),
% 0.11/10.42 inference(resolution,[status(thm)],[f409,f395])).
% 0.11/10.42 fof(f939,plain,(
% 0.11/10.42 ![X0,X1,X2]: (k2(X0,X1)|~m1(X2,X1,X0)|~k2(c,X1))),
% 0.11/10.42 inference(resolution,[status(thm)],[f932,f611])).
% 0.11/10.42 fof(f1040,plain,(
% 0.11/10.42 ![X0,X1]: (~q0(X0,X1)|k2(X1,X1))),
% 0.11/10.42 inference(resolution,[status(thm)],[f557,f614])).
% 0.11/10.42 fof(f1042,plain,(
% 0.11/10.42 k2(c,c)),
% 0.11/10.42 inference(resolution,[status(thm)],[f1040,f402])).
% 0.11/10.42 fof(f1049,plain,(
% 0.11/10.42 ![X0,X1]: (k2(X0,c)|~m1(X1,c,X0))),
% 0.11/10.42 inference(resolution,[status(thm)],[f1042,f939])).
% 0.11/10.42 fof(f1196,plain,(
% 0.11/10.42 ![X0]: (m1(b,X0,b)|~p0(b,X0))),
% 0.11/10.42 inference(resolution,[status(thm)],[f455,f374])).
% 0.11/10.42 fof(f1198,plain,(
% 0.11/10.42 ![X0]: (m1(b,X0,b))),
% 0.11/10.42 inference(forward_subsumption_resolution,[status(thm)],[f1196,f383])).
% 0.11/10.42 fof(f1201,plain,(
% 0.11/10.42 k2(b,c)),
% 0.11/10.42 inference(resolution,[status(thm)],[f1198,f1049])).
% 0.11/10.42 fof(f1204,plain,(
% 0.11/10.42 $false),
% 0.11/10.42 inference(forward_subsumption_resolution,[status(thm)],[f1201,f924])).
% 0.11/10.42 % SZS output end CNFRefutation for theBenchmark.p
% 1.38/11.66 % Elapsed time: 1.076049 seconds
% 1.38/11.66 % CPU time: 0.209052 seconds
% 1.38/11.66 % Total memory used: 69.007 MB
% 1.38/11.66 % Net memory used: 68.776 MB
%------------------------------------------------------------------------------