%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN113-1 : 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 : n014.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 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN113-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:43:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % 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(f19,axiom,(
% 0.13/0.41 (![X,Y]: (m0(X,d,Y) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f34,axiom,(
% 0.13/0.41 n0(c,d) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f39,axiom,(
% 0.13/0.41 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f43,axiom,(
% 0.13/0.41 (![B,C]: (( m1(B,C,B)| ~ m0(C,C,B) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f135,axiom,(
% 0.13/0.41 (![A]: (( q1(A,A,A)| ~ s0(A) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f165,axiom,(
% 0.13/0.41 (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f167,axiom,(
% 0.13/0.41 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f369,negated_conjecture,(
% 0.13/0.41 ~ k2(e,d) ),
% 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(f388,plain,(
% 0.13/0.41 ![X0,X1]: (m0(X0,d,X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.41 fof(f403,plain,(
% 0.13/0.41 n0(c,d)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.41 fof(f408,plain,(
% 0.13/0.41 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f39])).
% 0.13/0.41 fof(f409,plain,(
% 0.13/0.41 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f408])).
% 0.13/0.41 fof(f416,plain,(
% 0.13/0.41 ![X0,X1]: (m1(X0,X1,X0)|~m0(X1,X1,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.41 fof(f562,plain,(
% 0.13/0.41 ![X0]: (q1(X0,X0,X0)|~s0(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f135])).
% 0.13/0.41 fof(f610,plain,(
% 0.13/0.41 ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f165])).
% 0.13/0.41 fof(f611,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f610])).
% 0.13/0.41 fof(f613,plain,(
% 0.13/0.41 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f167])).
% 0.13/0.41 fof(f614,plain,(
% 0.13/0.41 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f613])).
% 0.13/0.41 fof(f924,plain,(
% 0.13/0.41 ~k2(e,d)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f369])).
% 0.13/0.41 fof(f928,plain,(
% 0.13/0.41 k1(d)),
% 0.13/0.41 inference(resolution,[status(thm)],[f409,f403])).
% 0.13/0.41 fof(f936,plain,(
% 0.13/0.41 ![X0,X1,X2]: (k2(X0,X1)|~m1(X2,X1,X0)|~k2(d,X1))),
% 0.13/0.41 inference(resolution,[status(thm)],[f928,f611])).
% 0.13/0.41 fof(f942,plain,(
% 0.13/0.41 ![X0]: (~s0(X0)|k2(X0,X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f562,f614])).
% 0.13/0.41 fof(f944,plain,(
% 0.13/0.41 k2(d,d)),
% 0.13/0.41 inference(resolution,[status(thm)],[f942,f370])).
% 0.13/0.41 fof(f949,plain,(
% 0.13/0.41 ![X0,X1]: (k2(X0,d)|~m1(X1,d,X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f944,f936])).
% 0.13/0.41 fof(f965,plain,(
% 0.13/0.41 ![X0]: (k2(X0,d)|~m0(d,d,X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f949,f416])).
% 0.13/0.41 fof(f967,plain,(
% 0.13/0.41 ![X0]: (k2(X0,d))),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f965,f388])).
% 0.13/0.41 fof(f969,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(backward_subsumption_resolution,[status(thm)],[f924,f967])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 1.38/1.65 % Elapsed time: 1.069578 seconds
% 1.38/1.65 % CPU time: 0.182173 seconds
% 1.38/1.65 % Total memory used: 68.126 MB
% 1.38/1.65 % Net memory used: 67.962 MB
%------------------------------------------------------------------------------