%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN168-1 : 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 : n009.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN168-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.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 10:45:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f15,axiom,(
% 0.13/0.39 n0(a,b) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f32,axiom,(
% 0.13/0.39 k0(b) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f39,axiom,(
% 0.13/0.39 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f106,axiom,(
% 0.13/0.39 (![D]: (( p1(D,D,D)| ~ k0(D) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f175,axiom,(
% 0.13/0.39 (![A,B,C]: (( n2(A)| ~ p1(B,C,A) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f197,axiom,(
% 0.13/0.39 (![A]: (( p2(A,A,A)| ~ k1(A) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f274,axiom,(
% 0.13/0.39 (![A]: (( m3(A,A,A)| ~ n2(A) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f289,axiom,(
% 0.13/0.39 (![A,B,C,D]: (( p3(A,B,B)| ~ m3(B,C,D)| ~ p2(A,B,D) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f369,negated_conjecture,(
% 0.13/0.39 (![X,Y]: (~ p3(X,Y,b) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f384,plain,(
% 0.13/0.39 n0(a,b)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f401,plain,(
% 0.13/0.39 k0(b)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.39 fof(f408,plain,(
% 0.13/0.39 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f39])).
% 0.13/0.39 fof(f409,plain,(
% 0.13/0.39 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f408])).
% 0.13/0.39 fof(f517,plain,(
% 0.13/0.39 ![X0]: (p1(X0,X0,X0)|~k0(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f106])).
% 0.13/0.39 fof(f626,plain,(
% 0.13/0.39 ![A]: (n2(A)|(![B,C]: ~p1(B,C,A)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f175])).
% 0.13/0.39 fof(f627,plain,(
% 0.13/0.39 ![X0,X1,X2]: (n2(X0)|~p1(X1,X2,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f626])).
% 0.13/0.39 fof(f659,plain,(
% 0.13/0.39 ![X0]: (p2(X0,X0,X0)|~k1(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/0.39 fof(f774,plain,(
% 0.13/0.39 ![X0]: (m3(X0,X0,X0)|~n2(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f274])).
% 0.13/0.39 fof(f795,plain,(
% 0.13/0.39 ![A,B,D]: ((p3(A,B,B)|(![C]: ~m3(B,C,D)))|~p2(A,B,D))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f289])).
% 0.13/0.39 fof(f796,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (p3(X0,X1,X1)|~m3(X1,X2,X3)|~p2(X0,X1,X3))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f795])).
% 0.13/0.39 fof(f924,plain,(
% 0.13/0.39 ![X0,X1]: (~p3(X0,X1,b))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f369])).
% 0.13/0.39 fof(f927,plain,(
% 0.13/0.39 k1(b)),
% 0.13/0.39 inference(resolution,[status(thm)],[f409,f384])).
% 0.13/0.39 fof(f943,plain,(
% 0.13/0.39 ![X0]: (n2(X0)|~k0(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f627,f517])).
% 0.13/0.39 fof(f944,plain,(
% 0.13/0.39 ![X0]: (m3(X0,X0,X0)|~k0(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f774,f943])).
% 0.13/0.39 fof(f951,plain,(
% 0.13/0.39 ![X0,X1]: (~k0(X0)|p3(X1,X0,X0)|~p2(X1,X0,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f944,f796])).
% 0.13/0.39 fof(f952,plain,(
% 0.13/0.39 ![X0]: (~k0(X0)|p3(X0,X0,X0)|~k1(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f951,f659])).
% 0.13/0.39 fof(f953,plain,(
% 0.13/0.39 p3(b,b,b)|~k1(b)),
% 0.13/0.39 inference(resolution,[status(thm)],[f952,f401])).
% 0.13/0.39 fof(f955,plain,(
% 0.13/0.39 ~k1(b)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f953,f924])).
% 0.13/0.39 fof(f957,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f955,f927])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 1.39/1.63 % Elapsed time: 1.060920 seconds
% 1.39/1.63 % CPU time: 0.177830 seconds
% 1.39/1.63 % Total memory used: 68.180 MB
% 1.39/1.63 % Net memory used: 68.013 MB
%------------------------------------------------------------------------------