%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 03:18:59 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.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 10:41:36 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f13,axiom,(
% 0.10/0.39 r0(e) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f18,axiom,(
% 0.10/0.39 p0(c,b) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f19,axiom,(
% 0.10/0.39 (![X,Y]: (m0(X,d,Y) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f27,axiom,(
% 0.10/0.39 m0(e,b,c) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f30,axiom,(
% 0.10/0.39 n0(e,e) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f34,axiom,(
% 0.10/0.39 n0(c,d) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f41,axiom,(
% 0.10/0.39 (![C,D,E,F]: (( l1(C,D)| ~ p0(E,C)| ~ r0(F)| ~ m0(D,C,E) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f44,axiom,(
% 0.10/0.39 (![J,A]: (( m1(J,J,J)| ~ m0(A,A,J) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f188,axiom,(
% 0.10/0.39 (![F,G]: (( p2(F,F,F)| ~ m1(G,G,F) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f224,axiom,(
% 0.10/0.39 (![G,H]: (( q2(G,G,H)| ~ l1(H,G) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f278,axiom,(
% 0.10/0.39 (![D,E,F]: (( n3(D)| ~ p2(E,F,D) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f293,axiom,(
% 0.10/0.39 (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f312,axiom,(
% 0.10/0.39 ( k4(c)| ~ n0(c,d)| ~ q3(e,b)| ~ n3(e) ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f369,negated_conjecture,(
% 0.10/0.39 ~ k4(c) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f382,plain,(
% 0.10/0.39 r0(e)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f387,plain,(
% 0.10/0.39 p0(c,b)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.39 fof(f388,plain,(
% 0.10/0.39 ![X0,X1]: (m0(X0,d,X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.39 fof(f396,plain,(
% 0.10/0.39 m0(e,b,c)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.39 fof(f399,plain,(
% 0.10/0.39 n0(e,e)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.39 fof(f403,plain,(
% 0.10/0.39 n0(c,d)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.39 fof(f412,plain,(
% 0.10/0.39 ![C,D,E]: (((l1(C,D)|~p0(E,C))|(![F]: ~r0(F)))|~m0(D,C,E))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f41])).
% 0.10/0.39 fof(f413,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (l1(X0,X1)|~p0(X2,X0)|~r0(X3)|~m0(X1,X0,X2))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f412])).
% 0.10/0.39 fof(f417,plain,(
% 0.10/0.39 ![J]: (m1(J,J,J)|(![A]: ~m0(A,A,J)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f44])).
% 0.10/0.39 fof(f418,plain,(
% 0.10/0.39 ![X0,X1]: (m1(X0,X0,X0)|~m0(X1,X1,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f417])).
% 0.10/0.39 fof(f646,plain,(
% 0.10/0.39 ![F]: (p2(F,F,F)|(![G]: ~m1(G,G,F)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f188])).
% 0.10/0.39 fof(f647,plain,(
% 0.10/0.39 ![X0,X1]: (p2(X0,X0,X0)|~m1(X1,X1,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f646])).
% 0.10/0.39 fof(f699,plain,(
% 0.10/0.39 ![X0,X1]: (q2(X0,X0,X1)|~l1(X1,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f224])).
% 0.10/0.39 fof(f778,plain,(
% 0.10/0.39 ![D]: (n3(D)|(![E,F]: ~p2(E,F,D)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f278])).
% 0.10/0.39 fof(f779,plain,(
% 0.10/0.39 ![X0,X1,X2]: (n3(X0)|~p2(X1,X2,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f778])).
% 0.10/0.39 fof(f801,plain,(
% 0.10/0.39 ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f293])).
% 0.10/0.39 fof(f802,plain,(
% 0.10/0.39 ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f801])).
% 0.10/0.39 fof(f832,plain,(
% 0.10/0.39 k4(c)|~n0(c,d)|~q3(e,b)|~n3(e)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f312])).
% 0.10/0.39 fof(f924,plain,(
% 0.10/0.39 ~k4(c)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f369])).
% 0.10/0.39 fof(f941,plain,(
% 0.10/0.39 ![X0,X1,X2]: (l1(X0,X1)|~p0(X2,X0)|~m0(X1,X0,X2))),
% 0.10/0.39 inference(resolution,[status(thm)],[f413,f382])).
% 0.10/0.39 fof(f951,plain,(
% 0.10/0.39 ![X0]: (m1(X0,X0,X0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f418,f388])).
% 0.10/0.39 fof(f1260,plain,(
% 0.10/0.39 ![X0]: (p2(X0,X0,X0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f647,f951])).
% 0.10/0.39 fof(f1261,plain,(
% 0.10/0.39 ![X0]: (n3(X0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f1260,f779])).
% 0.10/0.39 fof(f1415,plain,(
% 0.10/0.39 ~n0(c,d)|~q3(e,b)|~n3(e)),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f832,f924])).
% 0.10/0.39 fof(f1454,plain,(
% 0.10/0.39 l1(b,e)|~p0(c,b)),
% 0.10/0.39 inference(resolution,[status(thm)],[f941,f396])).
% 0.10/0.39 fof(f1459,plain,(
% 0.10/0.39 l1(b,e)),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1454,f387])).
% 0.10/0.39 fof(f1461,plain,(
% 0.10/0.39 q2(e,e,b)),
% 0.10/0.39 inference(resolution,[status(thm)],[f1459,f699])).
% 0.10/0.39 fof(f2069,plain,(
% 0.10/0.39 q3(e,b)|~n0(e,e)),
% 0.10/0.39 inference(resolution,[status(thm)],[f1461,f802])).
% 0.10/0.39 fof(f2071,plain,(
% 0.10/0.39 q3(e,b)),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2069,f399])).
% 0.10/0.39 fof(f2073,plain,(
% 0.10/0.39 ~n0(c,d)|~n3(e)),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f1415,f2071])).
% 0.10/0.39 fof(f2075,plain,(
% 0.10/0.39 ~n3(e)),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2073,f403])).
% 0.10/0.39 fof(f2076,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2075,f1261])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 1.45/1.63 % Elapsed time: 1.056849 seconds
% 1.45/1.63 % CPU time: 0.147700 seconds
% 1.45/1.63 % Total memory used: 19.389 MB
% 1.45/1.63 % Net memory used: 19.140 MB
%------------------------------------------------------------------------------