%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN204-1 : 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 : n026.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 03:19:08 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN204-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 10:48:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f5,axiom,(
% 0.11/0.41 s0(b) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f14,axiom,(
% 0.11/0.41 (![X]: (p0(b,X) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f17,axiom,(
% 0.11/0.41 (![X]: (q0(X,d) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f19,axiom,(
% 0.11/0.41 (![X,Y]: (m0(X,d,Y) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f20,axiom,(
% 0.11/0.41 l0(a) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f24,axiom,(
% 0.11/0.41 l0(c) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f32,axiom,(
% 0.11/0.41 k0(b) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f34,axiom,(
% 0.11/0.41 n0(c,d) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f37,axiom,(
% 0.11/0.41 n0(b,a) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f39,axiom,(
% 0.11/0.41 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f40,axiom,(
% 0.11/0.41 (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f74,axiom,(
% 0.11/0.41 (![A,B]: (( n1(A,A,B)| ~ m0(b,B,A) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f88,axiom,(
% 0.11/0.41 (![D,E]: (( n1(D,E,D)| ~ s0(b)| ~ l0(D)| ~ p0(b,E) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f92,axiom,(
% 0.11/0.41 (![E,F,G]: (( n1(E,F,F)| ~ l0(G)| ~ l1(G,E)| ~ n1(E,F,E) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f107,axiom,(
% 0.11/0.41 (![B,C]: (( p1(B,B,C)| ~ p0(C,B) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f109,axiom,(
% 0.11/0.41 (![H,I,J,A]: (( p1(H,I,H)| ~ l0(J)| ~ p1(I,A,H)| ~ s0(b) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f123,axiom,(
% 0.11/0.41 (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f163,axiom,(
% 0.11/0.41 (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f164,axiom,(
% 0.11/0.41 (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f215,axiom,(
% 0.11/0.41 (![E,F]: (( q2(E,F,F)| ~ k0(F)| ~ p1(E,E,E) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f217,axiom,(
% 0.11/0.41 (![J,A]: (( q2(J,J,J)| ~ k1(A)| ~ n1(J,J,A) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f220,axiom,(
% 0.11/0.41 (![F,G,H]: (( q2(F,G,F)| ~ p1(F,F,H)| ~ n1(G,F,H)| ~ q2(G,H,F) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f227,axiom,(
% 0.11/0.41 (![H]: (( s2(H)| ~ q2(b,H,b)| ~ s1(b) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f311,axiom,(
% 0.11/0.41 (![I,J,A,B]: (( s3(I,J)| ~ q2(A,I,A)| ~ s2(I)| ~ m0(A,B,J) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f369,negated_conjecture,(
% 0.11/0.41 ~ s3(a,c) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f374,plain,(
% 0.11/0.41 s0(b)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.41 fof(f383,plain,(
% 0.11/0.41 ![X0]: (p0(b,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.41 fof(f386,plain,(
% 0.11/0.41 ![X0]: (q0(X0,d))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.41 fof(f388,plain,(
% 0.11/0.41 ![X0,X1]: (m0(X0,d,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.41 fof(f389,plain,(
% 0.11/0.41 l0(a)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.41 fof(f393,plain,(
% 0.11/0.41 l0(c)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.41 fof(f401,plain,(
% 0.11/0.41 k0(b)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/0.41 fof(f403,plain,(
% 0.11/0.41 n0(c,d)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/0.41 fof(f406,plain,(
% 0.11/0.41 n0(b,a)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.11/0.41 fof(f408,plain,(
% 0.11/0.41 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f39])).
% 0.11/0.41 fof(f409,plain,(
% 0.11/0.41 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f408])).
% 0.11/0.41 fof(f410,plain,(
% 0.11/0.41 ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f40])).
% 0.11/0.41 fof(f411,plain,(
% 0.11/0.41 ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f410])).
% 0.11/0.41 fof(f466,plain,(
% 0.11/0.41 ![X0,X1]: (n1(X0,X0,X1)|~m0(b,X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f74])).
% 0.11/0.41 fof(f488,plain,(
% 0.11/0.41 ![E]: ((![D]: ((n1(D,E,D)|~s0(b))|~l0(D)))|~p0(b,E))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f88])).
% 0.11/0.41 fof(f489,plain,(
% 0.11/0.41 ![X0,X1]: (n1(X0,X1,X0)|~s0(b)|~l0(X0)|~p0(b,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f488])).
% 0.11/0.41 fof(f495,plain,(
% 0.11/0.41 ![E,F]: ((![G]: ((n1(E,F,F)|~l0(G))|~l1(G,E)))|~n1(E,F,E))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f92])).
% 0.11/0.41 fof(f496,plain,(
% 0.11/0.41 ![X0,X1,X2]: (n1(X0,X1,X1)|~l0(X2)|~l1(X2,X0)|~n1(X0,X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f495])).
% 0.11/0.41 fof(f518,plain,(
% 0.11/0.41 ![X0,X1]: (p1(X0,X0,X1)|~p0(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f107])).
% 0.11/0.41 fof(f520,plain,(
% 0.11/0.41 (![H,I]: ((p1(H,I,H)|(![J]: ~l0(J)))|(![A]: ~p1(I,A,H))))|~s0(b)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f109])).
% 0.11/0.41 fof(f521,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (p1(X0,X1,X0)|~l0(X2)|~p1(X1,X3,X0)|~s0(b))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f520])).
% 0.11/0.41 fof(f544,plain,(
% 0.11/0.41 ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f123])).
% 0.11/0.41 fof(f545,plain,(
% 0.11/0.41 ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f544])).
% 0.11/0.41 fof(f607,plain,(
% 0.11/0.41 ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f163])).
% 0.11/0.41 fof(f608,plain,(
% 0.11/0.41 (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f164])).
% 0.11/0.41 fof(f609,plain,(
% 0.11/0.41 ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f608])).
% 0.11/0.41 fof(f686,plain,(
% 0.11/0.41 ![E]: ((![F]: (q2(E,F,F)|~k0(F)))|~p1(E,E,E))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f215])).
% 0.11/0.41 fof(f687,plain,(
% 0.11/0.41 ![X0,X1]: (q2(X0,X1,X1)|~k0(X1)|~p1(X0,X0,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f686])).
% 0.11/0.41 fof(f690,plain,(
% 0.11/0.41 ![X0,X1]: (q2(X0,X0,X0)|~k1(X1)|~n1(X0,X0,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f217])).
% 0.11/0.41 fof(f693,plain,(
% 0.11/0.41 ![X0,X1,X2]: (q2(X0,X1,X0)|~p1(X0,X0,X2)|~n1(X1,X0,X2)|~q2(X1,X2,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f220])).
% 0.11/0.41 fof(f703,plain,(
% 0.11/0.41 (![H]: (s2(H)|~q2(b,H,b)))|~s1(b)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f227])).
% 0.11/0.41 fof(f704,plain,(
% 0.11/0.41 ![X0]: (s2(X0)|~q2(b,X0,b)|~s1(b))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f703])).
% 0.11/0.41 fof(f830,plain,(
% 0.11/0.41 ![J,A]: ((![I]: ((s3(I,J)|~q2(A,I,A))|~s2(I)))|(![B]: ~m0(A,B,J)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f311])).
% 0.11/0.41 fof(f831,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (s3(X0,X1)|~q2(X2,X0,X2)|~s2(X0)|~m0(X2,X3,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f830])).
% 0.11/0.41 fof(f924,plain,(
% 0.11/0.41 ~s3(a,c)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f369])).
% 0.11/0.41 fof(f926,plain,(
% 0.11/0.41 k1(d)),
% 0.11/0.41 inference(resolution,[status(thm)],[f409,f403])).
% 0.11/0.41 fof(f933,plain,(
% 0.11/0.41 l1(a,a)),
% 0.11/0.41 inference(resolution,[status(thm)],[f411,f406])).
% 0.11/0.41 fof(f1011,plain,(
% 0.11/0.41 ![X0]: (n1(X0,X0,d))),
% 0.11/0.41 inference(resolution,[status(thm)],[f466,f388])).
% 0.11/0.41 fof(f1025,plain,(
% 0.11/0.41 s1(b)),
% 0.11/0.41 inference(resolution,[status(thm)],[f607,f383])).
% 0.11/0.41 fof(f1037,plain,(
% 0.11/0.41 ![X0,X1]: (n1(X0,X1,X0)|~l0(X0)|~p0(b,X1))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f489,f374])).
% 0.11/0.41 fof(f1039,plain,(
% 0.11/0.41 ![X0]: (n1(a,X0,a)|~p0(b,X0))),
% 0.11/0.41 inference(resolution,[status(thm)],[f1037,f389])).
% 0.11/0.41 fof(f1041,plain,(
% 0.11/0.41 ![X0]: (n1(a,X0,a))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1039,f383])).
% 0.11/0.41 fof(f1051,plain,(
% 0.11/0.41 ![X0]: (n1(a,X0,X0)|~l0(a)|~n1(a,X0,a))),
% 0.11/0.41 inference(resolution,[status(thm)],[f496,f933])).
% 0.11/0.41 fof(f1053,plain,(
% 0.11/0.41 ![X0]: (n1(a,X0,X0)|~n1(a,X0,a))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1051,f389])).
% 0.11/0.41 fof(f1108,plain,(
% 0.11/0.41 ![X0]: (p1(X0,X0,b))),
% 0.11/0.41 inference(resolution,[status(thm)],[f518,f383])).
% 0.11/0.41 fof(f1109,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (p1(X0,X1,X0)|~l0(X2)|~p1(X1,X3,X0))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f521,f374])).
% 0.11/0.41 fof(f1110,plain,(
% 0.11/0.41 ![X0,X1,X2]: (p1(X0,X1,X0)|~p1(X1,X2,X0))),
% 0.11/0.41 inference(resolution,[status(thm)],[f1109,f393])).
% 0.11/0.41 fof(f1141,plain,(
% 0.11/0.41 ![X0]: (p1(X0,X0,X0))),
% 0.11/0.41 inference(resolution,[status(thm)],[f545,f383])).
% 0.11/0.41 fof(f1247,plain,(
% 0.11/0.41 ![X0,X1]: (s1(X0)|~s1(X1))),
% 0.11/0.41 inference(resolution,[status(thm)],[f609,f386])).
% 0.11/0.41 fof(f1251,plain,(
% 0.11/0.41 ![X0]: (s1(X0))),
% 0.11/0.41 inference(resolution,[status(thm)],[f1247,f1025])).
% 0.11/0.41 fof(f1323,plain,(
% 0.11/0.41 ![X0,X1]: (q2(X0,X1,X1)|~k0(X1))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f687,f1141])).
% 0.11/0.41 fof(f1324,plain,(
% 0.11/0.41 ![X0]: (q2(X0,b,b))),
% 0.11/0.41 inference(resolution,[status(thm)],[f1323,f401])).
% 0.11/0.41 fof(f1333,plain,(
% 0.11/0.41 ![X0]: (q2(X0,X0,X0)|~k1(d))),
% 0.11/0.41 inference(resolution,[status(thm)],[f690,f1011])).
% 0.11/0.41 fof(f1337,plain,(
% 0.11/0.41 ![X0]: (q2(X0,X0,X0))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1333,f926])).
% 0.11/0.41 fof(f1338,plain,(
% 0.11/0.41 ![X0,X1,X2]: (s3(X0,X1)|~s2(X0)|~m0(X0,X2,X1))),
% 0.11/0.41 inference(resolution,[status(thm)],[f1337,f831])).
% 0.11/0.41 fof(f1346,plain,(
% 0.11/0.41 ![X0,X1]: (s3(X0,X1)|~s2(X0))),
% 0.11/0.41 inference(resolution,[status(thm)],[f1338,f388])).
% 0.11/0.41 fof(f1380,plain,(
% 0.11/0.41 ![X0]: (s2(X0)|~q2(b,X0,b))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f704,f1251])).
% 0.11/0.41 fof(f1657,plain,(
% 0.11/0.41 ![X0]: (p1(b,X0,b))),
% 0.11/0.41 inference(resolution,[status(thm)],[f1110,f1108])).
% 0.11/0.41 fof(f1661,plain,(
% 0.11/0.41 ![X0]: (q2(b,X0,b)|~n1(X0,b,b)|~q2(X0,b,b))),
% 0.11/0.41 inference(resolution,[status(thm)],[f1657,f693])).
% 0.11/0.41 fof(f1664,plain,(
% 0.11/0.41 ![X0]: (q2(b,X0,b)|~n1(X0,b,b))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1661,f1324])).
% 0.11/0.41 fof(f1888,plain,(
% 0.11/0.41 ![X0]: (n1(a,X0,X0))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1053,f1041])).
% 0.11/0.41 fof(f2328,plain,(
% 0.11/0.41 q2(b,a,b)),
% 0.11/0.41 inference(resolution,[status(thm)],[f1664,f1888])).
% 0.11/0.41 fof(f2944,plain,(
% 0.11/0.41 s2(a)),
% 0.11/0.41 inference(resolution,[status(thm)],[f2328,f1380])).
% 0.11/0.41 fof(f2951,plain,(
% 0.11/0.41 ![X0]: (s3(a,X0))),
% 0.11/0.41 inference(resolution,[status(thm)],[f2944,f1346])).
% 0.11/0.41 fof(f2953,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f924,f2951])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 1.43/1.65 % Elapsed time: 1.084351 seconds
% 1.43/1.65 % CPU time: 0.290809 seconds
% 1.43/1.65 % Total memory used: 70.712 MB
% 1.43/1.65 % Net memory used: 70.268 MB
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