%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN138-1 : 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 : n020.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 03:19:01 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN138-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:45:02 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.43 fof(f1,axiom,(
% 0.12/0.43 s0(d) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f5,axiom,(
% 0.12/0.43 s0(b) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f17,axiom,(
% 0.12/0.43 (![X]: (q0(X,d) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f19,axiom,(
% 0.12/0.43 (![X,Y]: (m0(X,d,Y) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f24,axiom,(
% 0.12/0.43 l0(c) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f28,axiom,(
% 0.12/0.43 k0(e) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f30,axiom,(
% 0.12/0.43 n0(e,e) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f34,axiom,(
% 0.12/0.43 n0(c,d) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f39,axiom,(
% 0.12/0.43 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f59,axiom,(
% 0.12/0.43 (![I,J]: (( m1(I,J,I)| ~ l0(I)| ~ k0(J) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f145,axiom,(
% 0.12/0.43 (![A]: (( q1(e,A,A)| ~ m0(A,d,A)| ~ m0(e,d,A) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f150,axiom,(
% 0.12/0.43 (![A]: (( q1(A,A,A)| ~ k1(A)| ~ s0(b) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f162,axiom,(
% 0.12/0.43 (![D,E]: (( r1(D)| ~ q0(D,E)| ~ s0(d)| ~ q1(d,E,d) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f165,axiom,(
% 0.12/0.43 (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f167,axiom,(
% 0.12/0.43 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f226,axiom,(
% 0.12/0.43 (![G]: (( r2(G)| ~ r1(G)| ~ l0(G) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f269,axiom,(
% 0.12/0.43 (![H,I]: (( m3(H,I,H)| ~ r2(H)| ~ k2(c,I) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f369,negated_conjecture,(
% 0.12/0.43 ~ m3(c,e,c) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f370,plain,(
% 0.12/0.43 s0(d)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.43 fof(f374,plain,(
% 0.12/0.43 s0(b)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.43 fof(f386,plain,(
% 0.12/0.43 ![X0]: (q0(X0,d))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.43 fof(f388,plain,(
% 0.12/0.43 ![X0,X1]: (m0(X0,d,X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.43 fof(f393,plain,(
% 0.12/0.43 l0(c)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.43 fof(f397,plain,(
% 0.12/0.43 k0(e)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.43 fof(f399,plain,(
% 0.12/0.43 n0(e,e)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.43 fof(f403,plain,(
% 0.12/0.43 n0(c,d)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.43 fof(f408,plain,(
% 0.12/0.43 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f39])).
% 0.12/0.43 fof(f409,plain,(
% 0.12/0.43 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f408])).
% 0.12/0.43 fof(f442,plain,(
% 0.12/0.43 ![J]: ((![I]: (m1(I,J,I)|~l0(I)))|~k0(J))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f59])).
% 0.12/0.43 fof(f443,plain,(
% 0.12/0.43 ![X0,X1]: (m1(X0,X1,X0)|~l0(X0)|~k0(X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f442])).
% 0.12/0.43 fof(f578,plain,(
% 0.12/0.43 ![X0]: (q1(e,X0,X0)|~m0(X0,d,X0)|~m0(e,d,X0))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f145])).
% 0.12/0.43 fof(f586,plain,(
% 0.12/0.43 (![A]: (q1(A,A,A)|~k1(A)))|~s0(b)),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f150])).
% 0.12/0.43 fof(f587,plain,(
% 0.12/0.43 ![X0]: (q1(X0,X0,X0)|~k1(X0)|~s0(b))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f586])).
% 0.12/0.43 fof(f605,plain,(
% 0.12/0.43 ![E]: (((![D]: (r1(D)|~q0(D,E)))|~s0(d))|~q1(d,E,d))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f162])).
% 0.12/0.43 fof(f606,plain,(
% 0.12/0.43 ![X0,X1]: (r1(X0)|~q0(X0,X1)|~s0(d)|~q1(d,X1,d))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f605])).
% 0.12/0.43 fof(f610,plain,(
% 0.12/0.43 ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f165])).
% 0.12/0.43 fof(f611,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f610])).
% 0.12/0.43 fof(f613,plain,(
% 0.12/0.43 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f167])).
% 0.12/0.43 fof(f614,plain,(
% 0.12/0.43 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f613])).
% 0.12/0.43 fof(f702,plain,(
% 0.12/0.43 ![X0]: (r2(X0)|~r1(X0)|~l0(X0))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f226])).
% 0.12/0.43 fof(f767,plain,(
% 0.12/0.43 ![I]: ((![H]: (m3(H,I,H)|~r2(H)))|~k2(c,I))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f269])).
% 0.12/0.43 fof(f768,plain,(
% 0.12/0.43 ![X0,X1]: (m3(X0,X1,X0)|~r2(X0)|~k2(c,X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f767])).
% 0.12/0.43 fof(f924,plain,(
% 0.12/0.43 ~m3(c,e,c)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f369])).
% 0.12/0.43 fof(f926,plain,(
% 0.12/0.43 k1(d)),
% 0.12/0.43 inference(resolution,[status(thm)],[f409,f403])).
% 0.12/0.43 fof(f928,plain,(
% 0.12/0.43 k1(e)),
% 0.12/0.43 inference(resolution,[status(thm)],[f409,f399])).
% 0.12/0.43 fof(f1039,plain,(
% 0.12/0.43 ![X0]: (q1(X0,X0,X0)|~k1(X0))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f587,f374])).
% 0.12/0.43 fof(f1265,plain,(
% 0.12/0.43 ![X0]: (q1(e,X0,X0)|~m0(e,d,X0))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f578,f388])).
% 0.12/0.43 fof(f1266,plain,(
% 0.12/0.43 ![X0]: (q1(e,X0,X0))),
% 0.12/0.43 inference(resolution,[status(thm)],[f1265,f388])).
% 0.12/0.43 fof(f1267,plain,(
% 0.12/0.43 ![X0]: (k2(X0,X0))),
% 0.12/0.43 inference(resolution,[status(thm)],[f1266,f614])).
% 0.12/0.43 fof(f1312,plain,(
% 0.12/0.43 ![X0,X1]: (r1(X0)|~q0(X0,X1)|~q1(d,X1,d))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f606,f370])).
% 0.12/0.43 fof(f1318,plain,(
% 0.12/0.43 ![X0]: (r1(X0)|~q1(d,d,d))),
% 0.12/0.43 inference(resolution,[status(thm)],[f1312,f386])).
% 0.12/0.43 fof(f1320,plain,(
% 0.12/0.43 ![X0]: (~q1(d,d,d)|r2(X0)|~l0(X0))),
% 0.12/0.43 inference(resolution,[status(thm)],[f1318,f702])).
% 0.12/0.43 fof(f1346,plain,(
% 0.12/0.43 ![X0,X1,X2]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X1))),
% 0.12/0.43 inference(resolution,[status(thm)],[f611,f1267])).
% 0.12/0.43 fof(f1358,plain,(
% 0.12/0.43 ![X0,X1]: (k2(X0,e)|~m1(X1,e,X0))),
% 0.12/0.43 inference(resolution,[status(thm)],[f1346,f928])).
% 0.12/0.43 fof(f1387,plain,(
% 0.12/0.43 ![X0]: (k2(X0,e)|~l0(X0)|~k0(e))),
% 0.12/0.43 inference(resolution,[status(thm)],[f1358,f443])).
% 0.12/0.43 fof(f1396,plain,(
% 0.12/0.43 ![X0]: (k2(X0,e)|~l0(X0))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1387,f397])).
% 0.12/0.43 fof(f1566,plain,(
% 0.12/0.43 ~q1(d,d,d)|r2(c)),
% 0.12/0.43 inference(resolution,[status(thm)],[f1320,f393])).
% 0.12/0.43 fof(f1577,plain,(
% 0.12/0.43 r2(c)|~k1(d)),
% 0.12/0.43 inference(resolution,[status(thm)],[f1566,f1039])).
% 0.12/0.43 fof(f1589,plain,(
% 0.12/0.43 r2(c)),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1577,f926])).
% 0.12/0.43 fof(f1595,plain,(
% 0.12/0.43 ![X0]: (m3(c,X0,c)|~k2(c,X0))),
% 0.12/0.43 inference(resolution,[status(thm)],[f1589,f768])).
% 0.12/0.43 fof(f1646,plain,(
% 0.12/0.43 ~k2(c,e)),
% 0.12/0.43 inference(resolution,[status(thm)],[f1595,f924])).
% 0.12/0.43 fof(f1650,plain,(
% 0.12/0.43 ~l0(c)),
% 0.12/0.43 inference(resolution,[status(thm)],[f1646,f1396])).
% 0.12/0.43 fof(f1651,plain,(
% 0.12/0.43 $false),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1650,f393])).
% 0.12/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 1.42/1.64 % Elapsed time: 1.068468 seconds
% 1.42/1.64 % CPU time: 0.338886 seconds
% 1.42/1.64 % Total memory used: 67.971 MB
% 1.42/1.64 % Net memory used: 67.554 MB
%------------------------------------------------------------------------------