%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN171-1 : 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 : n004.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 03:19:04 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN171-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:45:04 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.14/0.47 % Refutation found
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.47 fof(f1,axiom,(
% 0.14/0.47 s0(d) ),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f5,axiom,(
% 0.14/0.47 s0(b) ),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f12,axiom,(
% 0.14/0.47 (![X]: (m0(a,X,a) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f14,axiom,(
% 0.14/0.47 (![X]: (p0(b,X) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f17,axiom,(
% 0.14/0.47 (![X]: (q0(X,d) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f19,axiom,(
% 0.14/0.47 (![X,Y]: (m0(X,d,Y) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f26,axiom,(
% 0.14/0.47 n0(d,c) ),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f40,axiom,(
% 0.14/0.47 (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f67,axiom,(
% 0.14/0.47 (![H,I]: (( m1(H,I,H)| ~ p0(H,I)| ~ s0(H) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f123,axiom,(
% 0.14/0.47 (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f163,axiom,(
% 0.14/0.47 (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f164,axiom,(
% 0.14/0.47 (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f171,axiom,(
% 0.14/0.47 (![J,A,B,C]: (( l2(J,J)| ~ p0(A,A)| ~ s1(B)| ~ m0(C,B,J) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f173,axiom,(
% 0.14/0.47 (![F,G,H]: (( m2(F)| ~ s0(F)| ~ l1(G,H) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f175,axiom,(
% 0.14/0.47 (![A,B,C]: (( n2(A)| ~ p1(B,C,A) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f214,axiom,(
% 0.14/0.47 (![D,E]: (( p2(D,E,D)| ~ m1(E,D,E) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f228,axiom,(
% 0.14/0.47 ( s2(d)| ~ s1(a)| ~ s0(d) ) ),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f248,axiom,(
% 0.14/0.47 (![D]: (( k3(D,D,D)| ~ n2(D) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f263,axiom,(
% 0.14/0.47 (![J,A,B,C]: (( m3(J,A,J)| ~ m0(B,B,A)| ~ l2(C,J)| ~ m0(J,C,C)| ~ s2(B) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f305,axiom,(
% 0.14/0.47 (![B,C,D]: (( r3(B,C,B)| ~ p2(B,D,C) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f306,axiom,(
% 0.14/0.47 (![H,I,J,A]: (( r3(H,H,I)| ~ m2(I)| ~ m3(J,b,H)| ~ r3(I,A,A) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f325,axiom,(
% 0.14/0.47 (![B,C]: (( p4(B,C,B)| ~ k3(B,B,C) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f326,axiom,(
% 0.14/0.47 (![H,I,J,A]: (( p4(H,I,I)| ~ r3(I,I,H)| ~ p4(J,J,A) ) ))),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f369,negated_conjecture,(
% 0.14/0.47 ~ p4(d,a,a) ),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f370,plain,(
% 0.14/0.47 s0(d)),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.47 fof(f374,plain,(
% 0.14/0.47 s0(b)),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.47 fof(f381,plain,(
% 0.14/0.47 ![X0]: (m0(a,X0,a))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.47 fof(f383,plain,(
% 0.14/0.47 ![X0]: (p0(b,X0))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.47 fof(f386,plain,(
% 0.14/0.47 ![X0]: (q0(X0,d))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.47 fof(f388,plain,(
% 0.14/0.47 ![X0,X1]: (m0(X0,d,X1))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.47 fof(f395,plain,(
% 0.14/0.47 n0(d,c)),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.47 fof(f410,plain,(
% 0.14/0.47 ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.14/0.47 inference(miniscoping,[status(thm)],[f40])).
% 0.14/0.47 fof(f411,plain,(
% 0.14/0.47 ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f410])).
% 0.14/0.47 fof(f454,plain,(
% 0.14/0.47 ![H]: ((![I]: (m1(H,I,H)|~p0(H,I)))|~s0(H))),
% 0.14/0.47 inference(miniscoping,[status(thm)],[f67])).
% 0.14/0.47 fof(f455,plain,(
% 0.14/0.47 ![X0,X1]: (m1(X0,X1,X0)|~p0(X0,X1)|~s0(X0))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f454])).
% 0.14/0.47 fof(f544,plain,(
% 0.14/0.47 ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f123])).
% 0.14/0.49 fof(f545,plain,(
% 0.14/0.49 ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f544])).
% 0.14/0.49 fof(f607,plain,(
% 0.14/0.49 ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f163])).
% 0.14/0.49 fof(f608,plain,(
% 0.14/0.49 (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f164])).
% 0.14/0.49 fof(f609,plain,(
% 0.14/0.49 ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f608])).
% 0.14/0.49 fof(f619,plain,(
% 0.14/0.49 ![J,B]: (((l2(J,J)|(![A]: ~p0(A,A)))|~s1(B))|(![C]: ~m0(C,B,J)))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f171])).
% 0.14/0.49 fof(f620,plain,(
% 0.14/0.49 ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~s1(X2)|~m0(X3,X2,X0))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f619])).
% 0.14/0.49 fof(f623,plain,(
% 0.14/0.49 (![F]: (m2(F)|~s0(F)))|(![G,H]: ~l1(G,H))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f173])).
% 0.14/0.49 fof(f624,plain,(
% 0.14/0.49 ![X0,X1,X2]: (m2(X0)|~s0(X0)|~l1(X1,X2))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f623])).
% 0.14/0.49 fof(f626,plain,(
% 0.14/0.49 ![A]: (n2(A)|(![B,C]: ~p1(B,C,A)))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f175])).
% 0.14/0.49 fof(f627,plain,(
% 0.14/0.49 ![X0,X1,X2]: (n2(X0)|~p1(X1,X2,X0))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f626])).
% 0.14/0.49 fof(f685,plain,(
% 0.14/0.49 ![X0,X1]: (p2(X0,X1,X0)|~m1(X1,X0,X1))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f214])).
% 0.14/0.49 fof(f705,plain,(
% 0.14/0.49 s2(d)|~s1(a)|~s0(d)),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f228])).
% 0.14/0.49 fof(f735,plain,(
% 0.14/0.49 ![X0]: (k3(X0,X0,X0)|~n2(X0))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f248])).
% 0.14/0.49 fof(f757,plain,(
% 0.14/0.49 ![B]: ((![J,C]: (((![A]: (m3(J,A,J)|~m0(B,B,A)))|~l2(C,J))|~m0(J,C,C)))|~s2(B))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f263])).
% 0.14/0.49 fof(f758,plain,(
% 0.14/0.49 ![X0,X1,X2,X3]: (m3(X0,X1,X0)|~m0(X2,X2,X1)|~l2(X3,X0)|~m0(X0,X3,X3)|~s2(X2))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f757])).
% 0.14/0.49 fof(f820,plain,(
% 0.14/0.49 ![B,C]: (r3(B,C,B)|(![D]: ~p2(B,D,C)))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f305])).
% 0.14/0.49 fof(f821,plain,(
% 0.14/0.49 ![X0,X1,X2]: (r3(X0,X1,X0)|~p2(X0,X2,X1))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f820])).
% 0.14/0.49 fof(f822,plain,(
% 0.14/0.49 ![I]: ((![H]: ((r3(H,H,I)|~m2(I))|(![J]: ~m3(J,b,H))))|(![A]: ~r3(I,A,A)))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f306])).
% 0.14/0.49 fof(f823,plain,(
% 0.14/0.49 ![X0,X1,X2,X3]: (r3(X0,X0,X1)|~m2(X1)|~m3(X2,b,X0)|~r3(X1,X3,X3))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f822])).
% 0.14/0.49 fof(f853,plain,(
% 0.14/0.49 ![X0,X1]: (p4(X0,X1,X0)|~k3(X0,X0,X1))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f325])).
% 0.14/0.49 fof(f854,plain,(
% 0.14/0.49 (![H,I]: (p4(H,I,I)|~r3(I,I,H)))|(![J,A]: ~p4(J,J,A))),
% 0.14/0.49 inference(miniscoping,[status(thm)],[f326])).
% 0.14/0.49 fof(f855,plain,(
% 0.14/0.49 ![X0,X1,X2,X3]: (p4(X0,X1,X1)|~r3(X1,X1,X0)|~p4(X2,X2,X3))),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f854])).
% 0.14/0.49 fof(f924,plain,(
% 0.14/0.49 ~p4(d,a,a)),
% 0.14/0.49 inference(cnf_transformation,[status(thm)],[f369])).
% 0.14/0.49 fof(f940,plain,(
% 0.14/0.49 l1(c,c)),
% 0.14/0.49 inference(resolution,[status(thm)],[f411,f395])).
% 0.14/0.49 fof(f995,plain,(
% 0.14/0.49 ![X0]: (m1(b,X0,b)|~p0(b,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f455,f374])).
% 0.14/0.49 fof(f997,plain,(
% 0.14/0.49 ![X0]: (m1(b,X0,b))),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f995,f383])).
% 0.14/0.49 fof(f1030,plain,(
% 0.14/0.49 s1(b)),
% 0.14/0.49 inference(resolution,[status(thm)],[f607,f383])).
% 0.14/0.49 fof(f1145,plain,(
% 0.14/0.49 ![X0]: (p1(X0,X0,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f545,f383])).
% 0.14/0.49 fof(f1149,plain,(
% 0.14/0.49 ![X0]: (n2(X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1145,f627])).
% 0.14/0.49 fof(f1150,plain,(
% 0.14/0.49 ![X0]: (k3(X0,X0,X0))),
% 0.14/0.49 inference(backward_subsumption_resolution,[status(thm)],[f735,f1149])).
% 0.14/0.49 fof(f1151,plain,(
% 0.14/0.49 ![X0]: (p4(X0,X0,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1150,f853])).
% 0.14/0.49 fof(f1166,plain,(
% 0.14/0.49 ![X0,X1]: (p4(X0,X1,X1)|~r3(X1,X1,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1151,f855])).
% 0.14/0.49 fof(f1227,plain,(
% 0.14/0.49 ![X0,X1]: (s1(X0)|~q0(X0,X1))),
% 0.14/0.49 inference(resolution,[status(thm)],[f609,f1030])).
% 0.14/0.49 fof(f1233,plain,(
% 0.14/0.49 ![X0]: (s1(X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1227,f386])).
% 0.14/0.49 fof(f1246,plain,(
% 0.14/0.49 ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~m0(X2,X3,X0))),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f620,f1233])).
% 0.14/0.49 fof(f1247,plain,(
% 0.14/0.49 ![X0,X1,X2]: (l2(X0,X0)|~m0(X1,X2,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1246,f383])).
% 0.14/0.49 fof(f1253,plain,(
% 0.14/0.49 ![X0,X1]: (m2(d)|~l1(X0,X1))),
% 0.14/0.49 inference(resolution,[status(thm)],[f624,f370])).
% 0.14/0.49 fof(f1293,plain,(
% 0.14/0.49 ![X0]: (p2(X0,b,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f685,f997])).
% 0.14/0.49 fof(f1340,plain,(
% 0.14/0.49 s2(d)|~s0(d)),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f705,f1233])).
% 0.14/0.49 fof(f1341,plain,(
% 0.14/0.49 s2(d)),
% 0.14/0.49 inference(resolution,[status(thm)],[f1340,f370])).
% 0.14/0.49 fof(f1377,plain,(
% 0.14/0.49 ![X0,X1,X2]: (m3(X0,X1,X0)|~m0(d,d,X1)|~l2(X2,X0)|~m0(X0,X2,X2))),
% 0.14/0.49 inference(resolution,[status(thm)],[f758,f1341])).
% 0.14/0.49 fof(f1379,plain,(
% 0.14/0.49 ![X0,X1,X2]: (m3(X0,X1,X0)|~l2(X2,X0)|~m0(X0,X2,X2))),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1377,f388])).
% 0.14/0.49 fof(f1420,plain,(
% 0.14/0.49 ![X0]: (r3(X0,X0,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f821,f1293])).
% 0.14/0.49 fof(f1605,plain,(
% 0.14/0.49 m2(d)),
% 0.14/0.49 inference(resolution,[status(thm)],[f1253,f940])).
% 0.14/0.49 fof(f1611,plain,(
% 0.14/0.49 ![X0,X1,X2]: (r3(X0,X0,d)|~m3(X1,b,X0)|~r3(d,X2,X2))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1605,f823])).
% 0.14/0.49 fof(f1626,plain,(
% 0.14/0.49 ![X0]: (l2(X0,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1247,f388])).
% 0.14/0.49 fof(f1904,plain,(
% 0.14/0.49 ![X0,X1]: (m3(X0,X1,X0)|~m0(X0,X0,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1379,f1626])).
% 0.14/0.49 fof(f2161,plain,(
% 0.14/0.49 ![X0,X1]: (r3(X0,X0,d)|~m3(X1,b,X0))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1611,f1420])).
% 0.14/0.49 fof(f2421,plain,(
% 0.14/0.49 ![X0]: (m3(a,X0,a))),
% 0.14/0.49 inference(resolution,[status(thm)],[f1904,f381])).
% 0.14/0.49 fof(f2578,plain,(
% 0.14/0.49 r3(a,a,d)),
% 0.14/0.49 inference(resolution,[status(thm)],[f2161,f2421])).
% 0.14/0.49 fof(f2868,plain,(
% 0.14/0.49 p4(d,a,a)),
% 0.14/0.49 inference(resolution,[status(thm)],[f2578,f1166])).
% 0.14/0.49 fof(f2869,plain,(
% 0.14/0.49 $false),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f2868,f924])).
% 0.14/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 1.60/1.70 % Elapsed time: 1.119474 seconds
% 1.60/1.70 % CPU time: 0.744988 seconds
% 1.60/1.70 % Total memory used: 79.345 MB
% 1.60/1.70 % Net memory used: 78.095 MB
%------------------------------------------------------------------------------