%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN253-1 : 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 : n002.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 03:19:12 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN253-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:50:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f5,axiom,(
% 0.13/0.44 s0(b) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f14,axiom,(
% 0.13/0.44 (![X]: (p0(b,X) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f17,axiom,(
% 0.13/0.44 (![X]: (q0(X,d) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f19,axiom,(
% 0.13/0.44 (![X,Y]: (m0(X,d,Y) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f20,axiom,(
% 0.13/0.44 l0(a) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f30,axiom,(
% 0.13/0.44 n0(e,e) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f32,axiom,(
% 0.13/0.44 k0(b) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f37,axiom,(
% 0.13/0.44 n0(b,a) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f40,axiom,(
% 0.13/0.44 (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f88,axiom,(
% 0.13/0.44 (![D,E]: (( n1(D,E,D)| ~ s0(b)| ~ l0(D)| ~ p0(b,E) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f92,axiom,(
% 0.13/0.44 (![E,F,G]: (( n1(E,F,F)| ~ l0(G)| ~ l1(G,E)| ~ n1(E,F,E) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f107,axiom,(
% 0.13/0.44 (![B,C]: (( p1(B,B,C)| ~ p0(C,B) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f123,axiom,(
% 0.13/0.44 (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f163,axiom,(
% 0.13/0.44 (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f164,axiom,(
% 0.13/0.44 (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f169,axiom,(
% 0.13/0.44 (![D,E]: (( l2(D,E)| ~ s1(D)| ~ n0(e,E)| ~ l2(E,E) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f171,axiom,(
% 0.13/0.44 (![J,A,B,C]: (( l2(J,J)| ~ p0(A,A)| ~ s1(B)| ~ m0(C,B,J) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f215,axiom,(
% 0.13/0.44 (![E,F]: (( q2(E,F,F)| ~ k0(F)| ~ p1(E,E,E) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f220,axiom,(
% 0.13/0.44 (![F,G,H]: (( q2(F,G,F)| ~ p1(F,F,H)| ~ n1(G,F,H)| ~ q2(G,H,F) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f227,axiom,(
% 0.13/0.44 (![H]: (( s2(H)| ~ q2(b,H,b)| ~ s1(b) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f311,axiom,(
% 0.13/0.44 (![I,J,A,B]: (( s3(I,J)| ~ q2(A,I,A)| ~ s2(I)| ~ m0(A,B,J) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f317,axiom,(
% 0.13/0.44 (![E,F,G]: (( m4(E,F)| ~ l2(G,F)| ~ s3(a,E) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f369,negated_conjecture,(
% 0.13/0.44 (![X]: (~ m4(e,X) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f374,plain,(
% 0.13/0.44 s0(b)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.44 fof(f383,plain,(
% 0.13/0.44 ![X0]: (p0(b,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.44 fof(f386,plain,(
% 0.13/0.44 ![X0]: (q0(X0,d))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.44 fof(f388,plain,(
% 0.13/0.44 ![X0,X1]: (m0(X0,d,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.44 fof(f389,plain,(
% 0.13/0.44 l0(a)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.44 fof(f399,plain,(
% 0.13/0.44 n0(e,e)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.44 fof(f401,plain,(
% 0.13/0.44 k0(b)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.44 fof(f406,plain,(
% 0.13/0.44 n0(b,a)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.44 fof(f410,plain,(
% 0.13/0.44 ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f40])).
% 0.13/0.44 fof(f411,plain,(
% 0.13/0.44 ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f410])).
% 0.13/0.44 fof(f488,plain,(
% 0.13/0.44 ![E]: ((![D]: ((n1(D,E,D)|~s0(b))|~l0(D)))|~p0(b,E))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f88])).
% 0.13/0.44 fof(f489,plain,(
% 0.13/0.44 ![X0,X1]: (n1(X0,X1,X0)|~s0(b)|~l0(X0)|~p0(b,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f488])).
% 0.13/0.44 fof(f495,plain,(
% 0.13/0.44 ![E,F]: ((![G]: ((n1(E,F,F)|~l0(G))|~l1(G,E)))|~n1(E,F,E))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f92])).
% 0.13/0.44 fof(f496,plain,(
% 0.13/0.44 ![X0,X1,X2]: (n1(X0,X1,X1)|~l0(X2)|~l1(X2,X0)|~n1(X0,X1,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f495])).
% 0.13/0.44 fof(f518,plain,(
% 0.13/0.44 ![X0,X1]: (p1(X0,X0,X1)|~p0(X1,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f107])).
% 0.13/0.44 fof(f544,plain,(
% 0.13/0.44 ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f123])).
% 0.13/0.44 fof(f545,plain,(
% 0.13/0.44 ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f544])).
% 0.13/0.44 fof(f607,plain,(
% 0.13/0.44 ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f163])).
% 0.13/0.44 fof(f608,plain,(
% 0.13/0.44 (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f164])).
% 0.13/0.44 fof(f609,plain,(
% 0.13/0.44 ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f608])).
% 0.13/0.44 fof(f616,plain,(
% 0.13/0.44 ![E]: (((![D]: (l2(D,E)|~s1(D)))|~n0(e,E))|~l2(E,E))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f169])).
% 0.13/0.44 fof(f617,plain,(
% 0.13/0.44 ![X0,X1]: (l2(X0,X1)|~s1(X0)|~n0(e,X1)|~l2(X1,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f616])).
% 0.13/0.44 fof(f619,plain,(
% 0.13/0.44 ![J,B]: (((l2(J,J)|(![A]: ~p0(A,A)))|~s1(B))|(![C]: ~m0(C,B,J)))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f171])).
% 0.13/0.44 fof(f620,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~s1(X2)|~m0(X3,X2,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f619])).
% 0.13/0.44 fof(f686,plain,(
% 0.13/0.44 ![E]: ((![F]: (q2(E,F,F)|~k0(F)))|~p1(E,E,E))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f215])).
% 0.13/0.44 fof(f687,plain,(
% 0.13/0.44 ![X0,X1]: (q2(X0,X1,X1)|~k0(X1)|~p1(X0,X0,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f686])).
% 0.13/0.44 fof(f693,plain,(
% 0.13/0.44 ![X0,X1,X2]: (q2(X0,X1,X0)|~p1(X0,X0,X2)|~n1(X1,X0,X2)|~q2(X1,X2,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f220])).
% 0.13/0.44 fof(f703,plain,(
% 0.13/0.44 (![H]: (s2(H)|~q2(b,H,b)))|~s1(b)),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f227])).
% 0.13/0.44 fof(f704,plain,(
% 0.13/0.44 ![X0]: (s2(X0)|~q2(b,X0,b)|~s1(b))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f703])).
% 0.13/0.44 fof(f830,plain,(
% 0.13/0.44 ![J,A]: ((![I]: ((s3(I,J)|~q2(A,I,A))|~s2(I)))|(![B]: ~m0(A,B,J)))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f311])).
% 0.13/0.44 fof(f831,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (s3(X0,X1)|~q2(X2,X0,X2)|~s2(X0)|~m0(X2,X3,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f830])).
% 0.13/0.44 fof(f840,plain,(
% 0.13/0.44 ![E]: ((![F]: (m4(E,F)|(![G]: ~l2(G,F))))|~s3(a,E))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f317])).
% 0.13/0.44 fof(f841,plain,(
% 0.13/0.44 ![X0,X1,X2]: (m4(X0,X1)|~l2(X2,X1)|~s3(a,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f840])).
% 0.13/0.44 fof(f924,plain,(
% 0.13/0.44 ![X0]: (~m4(e,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f369])).
% 0.13/0.44 fof(f933,plain,(
% 0.13/0.44 l1(a,a)),
% 0.13/0.44 inference(resolution,[status(thm)],[f411,f406])).
% 0.13/0.44 fof(f1026,plain,(
% 0.13/0.44 s1(b)),
% 0.13/0.44 inference(resolution,[status(thm)],[f607,f383])).
% 0.13/0.44 fof(f1041,plain,(
% 0.13/0.44 ![X0,X1]: (n1(X0,X1,X0)|~l0(X0)|~p0(b,X1))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f489,f374])).
% 0.13/0.44 fof(f1042,plain,(
% 0.13/0.44 ![X0,X1]: (n1(X0,X1,X0)|~l0(X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1041,f383])).
% 0.13/0.44 fof(f1051,plain,(
% 0.13/0.44 ![X0,X1]: (n1(X0,X1,X1)|~l1(a,X0)|~n1(X0,X1,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f496,f389])).
% 0.13/0.44 fof(f1109,plain,(
% 0.13/0.44 ![X0]: (p1(X0,X0,b))),
% 0.13/0.44 inference(resolution,[status(thm)],[f518,f383])).
% 0.13/0.44 fof(f1139,plain,(
% 0.13/0.44 ![X0]: (p1(X0,X0,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f545,f383])).
% 0.13/0.44 fof(f1226,plain,(
% 0.13/0.44 ![X0,X1]: (s1(X0)|~q0(X0,X1))),
% 0.13/0.44 inference(resolution,[status(thm)],[f609,f1026])).
% 0.13/0.44 fof(f1237,plain,(
% 0.13/0.44 ![X0]: (s1(X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1226,f386])).
% 0.13/0.44 fof(f1242,plain,(
% 0.13/0.44 ![X0,X1]: (l2(X0,X1)|~n0(e,X1)|~l2(X1,X1))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f617,f1237])).
% 0.13/0.44 fof(f1243,plain,(
% 0.13/0.44 ![X0]: (l2(X0,e)|~l2(e,e))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1242,f399])).
% 0.13/0.44 fof(f1245,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~m0(X2,X3,X0))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f620,f1237])).
% 0.13/0.44 fof(f1246,plain,(
% 0.13/0.44 ![X0,X1,X2]: (l2(X0,X0)|~m0(X1,X2,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1245,f383])).
% 0.13/0.44 fof(f1295,plain,(
% 0.13/0.44 ![X0,X1]: (q2(X0,X1,X1)|~k0(X1))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f687,f1139])).
% 0.13/0.44 fof(f1296,plain,(
% 0.13/0.44 ![X0]: (q2(X0,b,b))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1295,f401])).
% 0.13/0.44 fof(f1318,plain,(
% 0.13/0.44 ![X0]: (q2(b,X0,b)|~p1(b,b,b)|~n1(X0,b,b))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1296,f693])).
% 0.13/0.44 fof(f1319,plain,(
% 0.13/0.44 ![X0]: (q2(b,X0,b)|~n1(X0,b,b))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1318,f1109])).
% 0.13/0.44 fof(f1335,plain,(
% 0.13/0.44 ![X0]: (s2(X0)|~q2(b,X0,b))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f704,f1237])).
% 0.13/0.44 fof(f1392,plain,(
% 0.13/0.44 ![X0]: (n1(a,X0,a))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1042,f389])).
% 0.13/0.44 fof(f1544,plain,(
% 0.13/0.44 ![X0]: (n1(a,X0,X0)|~n1(a,X0,a))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1051,f933])).
% 0.13/0.44 fof(f1545,plain,(
% 0.13/0.44 ![X0]: (n1(a,X0,X0))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1544,f1392])).
% 0.13/0.44 fof(f1624,plain,(
% 0.13/0.44 ![X0]: (l2(X0,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1246,f388])).
% 0.13/0.44 fof(f1646,plain,(
% 0.13/0.44 ![X0]: (l2(X0,e))),
% 0.13/0.44 inference(backward_subsumption_resolution,[status(thm)],[f1243,f1624])).
% 0.13/0.44 fof(f1885,plain,(
% 0.13/0.44 q2(b,a,b)),
% 0.13/0.44 inference(resolution,[status(thm)],[f1319,f1545])).
% 0.13/0.44 fof(f2390,plain,(
% 0.13/0.44 s2(a)),
% 0.13/0.44 inference(resolution,[status(thm)],[f1885,f1335])).
% 0.13/0.44 fof(f2398,plain,(
% 0.13/0.44 ![X0,X1,X2]: (s3(a,X0)|~q2(X1,a,X1)|~m0(X1,X2,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f2390,f831])).
% 0.13/0.44 fof(f2773,plain,(
% 0.13/0.44 ![X0,X1]: (s3(a,X0)|~m0(b,X1,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f2398,f1885])).
% 0.13/0.44 fof(f2949,plain,(
% 0.13/0.44 ![X0]: (s3(a,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f2773,f388])).
% 0.13/0.44 fof(f2955,plain,(
% 0.13/0.44 ![X0,X1,X2]: (m4(X0,X1)|~l2(X2,X1))),
% 0.13/0.44 inference(backward_subsumption_resolution,[status(thm)],[f841,f2949])).
% 0.13/0.44 fof(f2956,plain,(
% 0.13/0.44 ![X0]: (m4(X0,e))),
% 0.13/0.44 inference(resolution,[status(thm)],[f2955,f1646])).
% 0.13/0.44 fof(f2959,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(resolution,[status(thm)],[f2956,f924])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 1.48/1.68 % Elapsed time: 1.099294 seconds
% 1.48/1.68 % CPU time: 0.441365 seconds
% 1.48/1.68 % Total memory used: 74.254 MB
% 1.48/1.68 % Net memory used: 73.568 MB
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