%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN110-1 : 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 : n018.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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN110-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:45:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f12,axiom,(
% 0.13/0.40 (![X]: (m0(a,X,a) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,axiom,(
% 0.13/0.40 l0(c) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f33,axiom,(
% 0.13/0.40 q0(d,c) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f37,axiom,(
% 0.13/0.40 n0(b,a) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f39,axiom,(
% 0.13/0.40 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f58,axiom,(
% 0.13/0.40 ( m1(c,c,c)| ~ l0(c) ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f62,axiom,(
% 0.13/0.40 (![F,G,H]: (( m1(F,a,G)| ~ m0(a,H,a)| ~ q0(F,G)| ~ m1(G,c,G) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f138,axiom,(
% 0.13/0.40 (![C,D]: (( q1(C,C,C)| ~ n0(D,C) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f165,axiom,(
% 0.13/0.40 (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f167,axiom,(
% 0.13/0.40 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f369,negated_conjecture,(
% 0.13/0.40 ~ k2(c,a) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f381,plain,(
% 0.13/0.40 ![X0]: (m0(a,X0,a))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f393,plain,(
% 0.13/0.40 l0(c)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f402,plain,(
% 0.13/0.40 q0(d,c)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f406,plain,(
% 0.13/0.40 n0(b,a)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.40 fof(f408,plain,(
% 0.13/0.40 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f39])).
% 0.13/0.40 fof(f409,plain,(
% 0.13/0.40 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f408])).
% 0.13/0.40 fof(f441,plain,(
% 0.13/0.40 m1(c,c,c)|~l0(c)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.13/0.40 fof(f446,plain,(
% 0.13/0.40 ![G]: ((![F]: ((m1(F,a,G)|(![H]: ~m0(a,H,a)))|~q0(F,G)))|~m1(G,c,G))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f62])).
% 0.13/0.40 fof(f447,plain,(
% 0.13/0.40 ![X0,X1,X2]: (m1(X0,a,X1)|~m0(a,X2,a)|~q0(X0,X1)|~m1(X1,c,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f446])).
% 0.13/0.40 fof(f567,plain,(
% 0.13/0.40 ![C]: (q1(C,C,C)|(![D]: ~n0(D,C)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f138])).
% 0.13/0.40 fof(f568,plain,(
% 0.13/0.40 ![X0,X1]: (q1(X0,X0,X0)|~n0(X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f567])).
% 0.13/0.40 fof(f610,plain,(
% 0.13/0.40 ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f165])).
% 0.13/0.40 fof(f611,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f610])).
% 0.13/0.40 fof(f613,plain,(
% 0.13/0.40 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f167])).
% 0.13/0.40 fof(f614,plain,(
% 0.13/0.40 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f613])).
% 0.13/0.40 fof(f924,plain,(
% 0.13/0.40 ~k2(c,a)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f369])).
% 0.13/0.40 fof(f925,plain,(
% 0.13/0.40 k1(a)),
% 0.13/0.40 inference(resolution,[status(thm)],[f409,f406])).
% 0.13/0.40 fof(f933,plain,(
% 0.13/0.40 ![X0,X1,X2]: (k2(X0,X1)|~m1(X2,X1,X0)|~k2(a,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f925,f611])).
% 0.13/0.40 fof(f1069,plain,(
% 0.13/0.40 ![X0,X1]: (~n0(X0,X1)|k2(X1,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f568,f614])).
% 0.13/0.40 fof(f1070,plain,(
% 0.13/0.40 k2(a,a)),
% 0.13/0.40 inference(resolution,[status(thm)],[f1069,f406])).
% 0.13/0.40 fof(f1078,plain,(
% 0.13/0.40 ![X0,X1]: (k2(X0,a)|~m1(X1,a,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f1070,f933])).
% 0.13/0.40 fof(f1094,plain,(
% 0.13/0.40 m1(c,c,c)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f441,f393])).
% 0.13/0.40 fof(f1138,plain,(
% 0.13/0.40 ![X0,X1]: (m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f447,f381])).
% 0.13/0.40 fof(f1139,plain,(
% 0.13/0.40 ![X0,X1]: (~q0(X0,X1)|~m1(X1,c,X1)|k2(X1,a))),
% 0.13/0.40 inference(resolution,[status(thm)],[f1138,f1078])).
% 0.13/0.40 fof(f1150,plain,(
% 0.13/0.40 ![X0]: (~q0(X0,c)|k2(c,a))),
% 0.13/0.40 inference(resolution,[status(thm)],[f1139,f1094])).
% 0.13/0.40 fof(f1156,plain,(
% 0.13/0.40 ![X0]: (~q0(X0,c))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1150,f924])).
% 0.13/0.40 fof(f1162,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f402,f1156])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 1.40/1.64 % Elapsed time: 1.061480 seconds
% 1.40/1.64 % CPU time: 0.189463 seconds
% 1.40/1.64 % Total memory used: 61.752 MB
% 1.40/1.64 % Net memory used: 61.583 MB
%------------------------------------------------------------------------------