%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN273-1 : 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 : n006.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 03:19:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN273-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.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 10:47:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f19,axiom,(
% 0.14/0.39 (![X,Y]: (m0(X,d,Y) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f24,axiom,(
% 0.14/0.39 l0(c) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f28,axiom,(
% 0.14/0.39 k0(e) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f30,axiom,(
% 0.14/0.39 n0(e,e) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f39,axiom,(
% 0.14/0.39 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f59,axiom,(
% 0.14/0.39 (![I,J]: (( m1(I,J,I)| ~ l0(I)| ~ k0(J) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f145,axiom,(
% 0.14/0.39 (![A]: (( q1(e,A,A)| ~ m0(A,d,A)| ~ m0(e,d,A) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f165,axiom,(
% 0.14/0.39 (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f167,axiom,(
% 0.14/0.39 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f232,axiom,(
% 0.14/0.39 (![F,G]: (( k3(F,F,G)| ~ k2(G,F) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f325,axiom,(
% 0.14/0.39 (![B,C]: (( p4(B,C,B)| ~ k3(B,B,C) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f369,negated_conjecture,(
% 0.14/0.39 ~ p4(e,c,e) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f388,plain,(
% 0.14/0.39 ![X0,X1]: (m0(X0,d,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.39 fof(f393,plain,(
% 0.14/0.39 l0(c)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.39 fof(f397,plain,(
% 0.14/0.39 k0(e)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.39 fof(f399,plain,(
% 0.14/0.39 n0(e,e)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.39 fof(f408,plain,(
% 0.14/0.39 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f39])).
% 0.14/0.39 fof(f409,plain,(
% 0.14/0.39 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f408])).
% 0.14/0.40 fof(f442,plain,(
% 0.14/0.40 ![J]: ((![I]: (m1(I,J,I)|~l0(I)))|~k0(J))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f59])).
% 0.14/0.40 fof(f443,plain,(
% 0.14/0.40 ![X0,X1]: (m1(X0,X1,X0)|~l0(X0)|~k0(X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f442])).
% 0.14/0.40 fof(f578,plain,(
% 0.14/0.40 ![X0]: (q1(e,X0,X0)|~m0(X0,d,X0)|~m0(e,d,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f145])).
% 0.14/0.40 fof(f610,plain,(
% 0.14/0.40 ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f165])).
% 0.14/0.40 fof(f611,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f610])).
% 0.14/0.40 fof(f613,plain,(
% 0.14/0.40 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f167])).
% 0.14/0.40 fof(f614,plain,(
% 0.14/0.40 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f613])).
% 0.14/0.40 fof(f711,plain,(
% 0.14/0.40 ![X0,X1]: (k3(X0,X0,X1)|~k2(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f232])).
% 0.14/0.40 fof(f853,plain,(
% 0.14/0.40 ![X0,X1]: (p4(X0,X1,X0)|~k3(X0,X0,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f325])).
% 0.14/0.40 fof(f924,plain,(
% 0.14/0.40 ~p4(e,c,e)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f369])).
% 0.14/0.40 fof(f930,plain,(
% 0.14/0.40 k1(e)),
% 0.14/0.40 inference(resolution,[status(thm)],[f409,f399])).
% 0.14/0.40 fof(f1006,plain,(
% 0.14/0.40 ![X0,X1]: (~k2(X0,X1)|p4(X1,X0,X1))),
% 0.14/0.40 inference(resolution,[status(thm)],[f711,f853])).
% 0.14/0.40 fof(f1008,plain,(
% 0.14/0.40 ~k2(c,e)),
% 0.14/0.40 inference(resolution,[status(thm)],[f1006,f924])).
% 0.14/0.40 fof(f1302,plain,(
% 0.14/0.40 ![X0]: (q1(e,X0,X0)|~m0(e,d,X0))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f578,f388])).
% 0.14/0.40 fof(f1303,plain,(
% 0.14/0.40 ![X0]: (q1(e,X0,X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f1302,f388])).
% 0.14/0.40 fof(f1306,plain,(
% 0.14/0.40 ![X0]: (k2(X0,X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f1303,f614])).
% 0.14/0.40 fof(f1371,plain,(
% 0.14/0.40 ![X0,X1,X2]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X1))),
% 0.14/0.40 inference(resolution,[status(thm)],[f611,f1306])).
% 0.14/0.40 fof(f1411,plain,(
% 0.14/0.40 ![X0,X1]: (k2(X0,e)|~m1(X1,e,X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f1371,f930])).
% 0.14/0.40 fof(f1440,plain,(
% 0.14/0.40 ![X0]: (k2(X0,e)|~l0(X0)|~k0(e))),
% 0.14/0.40 inference(resolution,[status(thm)],[f1411,f443])).
% 0.14/0.40 fof(f1450,plain,(
% 0.14/0.40 ![X0]: (k2(X0,e)|~l0(X0))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1440,f397])).
% 0.14/0.40 fof(f1452,plain,(
% 0.14/0.40 ~l0(c)),
% 0.14/0.40 inference(resolution,[status(thm)],[f1450,f1008])).
% 0.14/0.40 fof(f1454,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1452,f393])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 1.46/1.63 % Elapsed time: 1.048284 seconds
% 1.46/1.63 % CPU time: 0.148052 seconds
% 1.46/1.63 % Total memory used: 17.092 MB
% 1.46/1.63 % Net memory used: 16.947 MB
%------------------------------------------------------------------------------