%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN190-1 : 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 : n010.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 03:19:06 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN190-1 : 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 : n010.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 10:45:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.45 % Refutation found
% 0.09/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.45 fof(f1,axiom,(
% 0.09/0.45 s0(d) ),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f12,axiom,(
% 0.09/0.45 (![X]: (m0(a,X,a) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f14,axiom,(
% 0.09/0.45 (![X]: (p0(b,X) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f17,axiom,(
% 0.09/0.45 (![X]: (q0(X,d) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f19,axiom,(
% 0.09/0.45 (![X,Y]: (m0(X,d,Y) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f26,axiom,(
% 0.09/0.45 n0(d,c) ),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f34,axiom,(
% 0.09/0.45 n0(c,d) ),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f40,axiom,(
% 0.09/0.45 (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f43,axiom,(
% 0.09/0.45 (![B,C]: (( m1(B,C,B)| ~ m0(C,C,B) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f123,axiom,(
% 0.09/0.45 (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f163,axiom,(
% 0.09/0.45 (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f164,axiom,(
% 0.09/0.45 (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f171,axiom,(
% 0.09/0.45 (![J,A,B,C]: (( l2(J,J)| ~ p0(A,A)| ~ s1(B)| ~ m0(C,B,J) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f173,axiom,(
% 0.09/0.45 (![F,G,H]: (( m2(F)| ~ s0(F)| ~ l1(G,H) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f184,axiom,(
% 0.09/0.45 (![C,D,E,F]: (( p2(C,D,D)| ~ p1(C,E,F)| ~ l1(E,F)| ~ p2(C,D,C) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f214,axiom,(
% 0.09/0.45 (![D,E]: (( p2(D,E,D)| ~ m1(E,D,E) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f228,axiom,(
% 0.09/0.45 ( s2(d)| ~ s1(a)| ~ s0(d) ) ),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f263,axiom,(
% 0.09/0.45 (![J,A,B,C]: (( m3(J,A,J)| ~ m0(B,B,A)| ~ l2(C,J)| ~ m0(J,C,C)| ~ s2(B) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f305,axiom,(
% 0.09/0.45 (![B,C,D]: (( r3(B,C,B)| ~ p2(B,D,C) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f306,axiom,(
% 0.09/0.45 (![H,I,J,A]: (( r3(H,H,I)| ~ m2(I)| ~ m3(J,b,H)| ~ r3(I,A,A) ) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f369,negated_conjecture,(
% 0.09/0.45 (![X]: (~ r3(a,X,d) ))),
% 0.09/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f370,plain,(
% 0.09/0.45 s0(d)),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.45 fof(f381,plain,(
% 0.09/0.45 ![X0]: (m0(a,X0,a))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.45 fof(f383,plain,(
% 0.09/0.45 ![X0]: (p0(b,X0))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.45 fof(f386,plain,(
% 0.09/0.45 ![X0]: (q0(X0,d))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.45 fof(f388,plain,(
% 0.09/0.45 ![X0,X1]: (m0(X0,d,X1))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.45 fof(f395,plain,(
% 0.09/0.45 n0(d,c)),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.45 fof(f403,plain,(
% 0.09/0.45 n0(c,d)),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.45 fof(f410,plain,(
% 0.09/0.45 ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f40])).
% 0.09/0.45 fof(f411,plain,(
% 0.09/0.45 ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f410])).
% 0.09/0.45 fof(f416,plain,(
% 0.09/0.45 ![X0,X1]: (m1(X0,X1,X0)|~m0(X1,X1,X0))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/0.45 fof(f544,plain,(
% 0.09/0.45 ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f123])).
% 0.09/0.45 fof(f545,plain,(
% 0.09/0.45 ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f544])).
% 0.09/0.45 fof(f607,plain,(
% 0.09/0.45 ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f163])).
% 0.09/0.45 fof(f608,plain,(
% 0.09/0.45 (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f164])).
% 0.09/0.45 fof(f609,plain,(
% 0.09/0.45 ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f608])).
% 0.09/0.45 fof(f619,plain,(
% 0.09/0.45 ![J,B]: (((l2(J,J)|(![A]: ~p0(A,A)))|~s1(B))|(![C]: ~m0(C,B,J)))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f171])).
% 0.09/0.45 fof(f620,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~s1(X2)|~m0(X3,X2,X0))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f619])).
% 0.09/0.45 fof(f623,plain,(
% 0.09/0.45 (![F]: (m2(F)|~s0(F)))|(![G,H]: ~l1(G,H))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f173])).
% 0.09/0.45 fof(f624,plain,(
% 0.09/0.45 ![X0,X1,X2]: (m2(X0)|~s0(X0)|~l1(X1,X2))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f623])).
% 0.09/0.45 fof(f639,plain,(
% 0.09/0.45 ![C,D]: ((![E,F]: ((p2(C,D,D)|~p1(C,E,F))|~l1(E,F)))|~p2(C,D,C))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f184])).
% 0.09/0.45 fof(f640,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (p2(X0,X1,X1)|~p1(X0,X2,X3)|~l1(X2,X3)|~p2(X0,X1,X0))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f639])).
% 0.09/0.45 fof(f685,plain,(
% 0.09/0.45 ![X0,X1]: (p2(X0,X1,X0)|~m1(X1,X0,X1))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f214])).
% 0.09/0.45 fof(f705,plain,(
% 0.09/0.45 s2(d)|~s1(a)|~s0(d)),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f228])).
% 0.09/0.45 fof(f757,plain,(
% 0.09/0.45 ![B]: ((![J,C]: (((![A]: (m3(J,A,J)|~m0(B,B,A)))|~l2(C,J))|~m0(J,C,C)))|~s2(B))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f263])).
% 0.09/0.45 fof(f758,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (m3(X0,X1,X0)|~m0(X2,X2,X1)|~l2(X3,X0)|~m0(X0,X3,X3)|~s2(X2))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f757])).
% 0.09/0.45 fof(f820,plain,(
% 0.09/0.45 ![B,C]: (r3(B,C,B)|(![D]: ~p2(B,D,C)))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f305])).
% 0.09/0.45 fof(f821,plain,(
% 0.09/0.45 ![X0,X1,X2]: (r3(X0,X1,X0)|~p2(X0,X2,X1))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f820])).
% 0.09/0.45 fof(f822,plain,(
% 0.09/0.45 ![I]: ((![H]: ((r3(H,H,I)|~m2(I))|(![J]: ~m3(J,b,H))))|(![A]: ~r3(I,A,A)))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f306])).
% 0.09/0.45 fof(f823,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (r3(X0,X0,X1)|~m2(X1)|~m3(X2,b,X0)|~r3(X1,X3,X3))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f822])).
% 0.09/0.45 fof(f924,plain,(
% 0.09/0.45 ![X0]: (~r3(a,X0,d))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f369])).
% 0.09/0.45 fof(f934,plain,(
% 0.09/0.45 l1(d,d)),
% 0.09/0.45 inference(resolution,[status(thm)],[f411,f403])).
% 0.09/0.45 fof(f938,plain,(
% 0.09/0.45 l1(c,c)),
% 0.09/0.45 inference(resolution,[status(thm)],[f411,f395])).
% 0.09/0.45 fof(f948,plain,(
% 0.09/0.45 ![X0]: (m1(X0,d,X0))),
% 0.09/0.45 inference(resolution,[status(thm)],[f416,f388])).
% 0.09/0.45 fof(f1007,plain,(
% 0.09/0.45 s1(b)),
% 0.09/0.45 inference(resolution,[status(thm)],[f607,f383])).
% 0.09/0.45 fof(f1146,plain,(
% 0.09/0.45 ![X0]: (p1(X0,X0,X0))),
% 0.09/0.45 inference(resolution,[status(thm)],[f545,f383])).
% 0.09/0.45 fof(f1248,plain,(
% 0.09/0.45 ![X0,X1]: (s1(X0)|~s1(X1))),
% 0.09/0.45 inference(resolution,[status(thm)],[f609,f386])).
% 0.09/0.45 fof(f1249,plain,(
% 0.09/0.45 ![X0]: (s1(X0))),
% 0.09/0.45 inference(resolution,[status(thm)],[f1248,f1007])).
% 0.09/0.45 fof(f1259,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~m0(X2,X3,X0))),
% 0.09/0.45 inference(forward_subsumption_resolution,[status(thm)],[f620,f1249])).
% 0.09/0.45 fof(f1260,plain,(
% 0.09/0.45 ![X0,X1,X2]: (l2(X0,X0)|~m0(X1,X2,X0))),
% 0.09/0.45 inference(resolution,[status(thm)],[f1259,f383])).
% 0.09/0.45 fof(f1274,plain,(
% 0.09/0.45 ![X0,X1]: (m2(d)|~l1(X0,X1))),
% 0.09/0.45 inference(resolution,[status(thm)],[f624,f370])).
% 0.09/0.45 fof(f1286,plain,(
% 0.09/0.45 ![X0,X1]: (p2(X0,X1,X1)|~l1(X0,X0)|~p2(X0,X1,X0))),
% 0.09/0.45 inference(resolution,[status(thm)],[f640,f1146])).
% 0.09/0.45 fof(f1326,plain,(
% 0.09/0.45 ![X0]: (p2(d,X0,d))),
% 0.09/0.45 inference(resolution,[status(thm)],[f685,f948])).
% 0.09/0.45 fof(f1385,plain,(
% 0.09/0.45 s2(d)|~s0(d)),
% 0.09/0.45 inference(forward_subsumption_resolution,[status(thm)],[f705,f1249])).
% 0.09/0.45 fof(f1386,plain,(
% 0.09/0.45 s2(d)),
% 0.09/0.45 inference(resolution,[status(thm)],[f1385,f370])).
% 0.09/0.45 fof(f1432,plain,(
% 0.09/0.45 ![X0,X1,X2]: (m3(X0,X1,X0)|~l2(X2,X0)|~m0(X0,X2,X2)|~s2(d))),
% 0.09/0.45 inference(resolution,[status(thm)],[f758,f388])).
% 0.09/0.45 fof(f1434,plain,(
% 0.09/0.45 ![X0,X1,X2]: (m3(X0,X1,X0)|~l2(X2,X0)|~m0(X0,X2,X2))),
% 0.09/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1432,f1386])).
% 0.09/0.45 fof(f1726,plain,(
% 0.09/0.45 ![X0]: (l2(X0,X0))),
% 0.09/0.45 inference(resolution,[status(thm)],[f1260,f388])).
% 0.09/0.45 fof(f1759,plain,(
% 0.09/0.45 m2(d)),
% 0.09/0.45 inference(resolution,[status(thm)],[f1274,f938])).
% 0.09/0.45 fof(f1795,plain,(
% 0.09/0.45 ![X0]: (m3(a,X0,a)|~l2(a,a))),
% 0.09/0.45 inference(resolution,[status(thm)],[f1434,f381])).
% 0.09/0.45 fof(f1798,plain,(
% 0.09/0.45 ![X0]: (m3(a,X0,a))),
% 0.09/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1795,f1726])).
% 0.09/0.45 fof(f1895,plain,(
% 0.09/0.45 ![X0,X1]: (r3(a,a,X0)|~m2(X0)|~r3(X0,X1,X1))),
% 0.09/0.45 inference(resolution,[status(thm)],[f1798,f823])).
% 0.09/0.46 fof(f1944,plain,(
% 0.09/0.46 ![X0]: (p2(d,X0,X0)|~l1(d,d))),
% 0.09/0.46 inference(resolution,[status(thm)],[f1286,f1326])).
% 0.09/0.46 fof(f1949,plain,(
% 0.09/0.46 ![X0]: (p2(d,X0,X0))),
% 0.09/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1944,f934])).
% 0.09/0.46 fof(f1961,plain,(
% 0.09/0.46 ![X0]: (r3(d,X0,d))),
% 0.09/0.46 inference(resolution,[status(thm)],[f1949,f821])).
% 0.09/0.46 fof(f2453,plain,(
% 0.09/0.46 r3(a,a,d)|~m2(d)),
% 0.09/0.46 inference(resolution,[status(thm)],[f1895,f1961])).
% 0.09/0.46 fof(f2456,plain,(
% 0.09/0.46 ~m2(d)),
% 0.09/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2453,f924])).
% 0.09/0.46 fof(f2463,plain,(
% 0.09/0.46 $false),
% 0.09/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2456,f1759])).
% 0.09/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 1.46/1.69 % Elapsed time: 1.104127 seconds
% 1.46/1.69 % CPU time: 0.467842 seconds
% 1.46/1.69 % Total memory used: 74.099 MB
% 1.46/1.69 % Net memory used: 73.396 MB
%------------------------------------------------------------------------------