%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 01:03:58 PM UTC 2026
% Result : Unsatisfiable 65.41s 8.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n014.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 20 23:58:04 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 65.41/8.97 % Refutation found
% 65.41/8.97 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 65.41/8.97 % SZS output start CNFRefutation for theBenchmark
% 65.41/8.97 fof(f1,axiom,(
% 65.41/8.97 (![A,B,C,D]: (f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) = B ))),
% 65.41/8.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 65.41/8.97 fof(f2,negated_conjecture,(
% 65.41/8.97 f(x0,f(x0,x0)) != f(x1,f(x1,x1)) ),
% 65.41/8.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 65.41/8.97 fof(f3,plain,(
% 65.41/8.97 ![X0,X1,X2,X3]: (f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2)))=X1)),
% 65.41/8.97 inference(cnf_transformation,[status(thm)],[f1])).
% 65.41/8.97 fof(f4,plain,(
% 65.41/8.97 ~f(x0,f(x0,x0))=f(x1,f(x1,x1))),
% 65.41/8.97 inference(cnf_transformation,[status(thm)],[f2])).
% 65.41/8.97 fof(f10,plain,(
% 65.41/8.97 ![X0,X1,X2,X3]: (f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0))),X3)))=f(X0,X1))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f3,f3])).
% 65.41/8.97 fof(f11,plain,(
% 65.41/8.97 ![X0,X1,X2,X3]: (f(f(X0,X1),f(X0,f(f(X0,f(f(f(f(X2,X0),f(X0,X3)),f(f(X2,X0),f(X0,X3))),f(f(X2,X0),f(X0,X3)))),f(f(X0,f(f(X2,X2),X2)),X3))))=X0)),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f3,f3])).
% 65.41/8.97 fof(f15,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(X0,f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0))))=f(X0,X1))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f10,f10])).
% 65.41/8.97 fof(f18,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1))=f(f(X0,X1),f(X1,X2)))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f3,f10])).
% 65.41/8.97 fof(f112,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1))=f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f3,f18])).
% 65.41/8.97 fof(f145,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1))=X1)),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f3,f112])).
% 65.41/8.97 fof(f175,plain,(
% 65.41/8.97 ![X0]: (f(f(X0,X0),f(X0,X0))=X0)),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f3,f145])).
% 65.41/8.97 fof(f191,plain,(
% 65.41/8.97 ![X0,X1,X2,X3]: (f(f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1)),f(f(X1,f(f(X1,X1),X3)),f(X1,X1)))=f(f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1)),f(f(X1,X1),X3)))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f145,f18])).
% 65.41/8.97 fof(f206,plain,(
% 65.41/8.97 ![X0,X1,X2,X3]: (f(X0,f(f(X0,f(f(X0,X0),X1)),f(X0,X0)))=f(f(f(f(f(X2,X0),f(X0,X3)),X0),f(X0,X0)),f(f(X0,X0),X1)))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f145,f191])).
% 65.41/8.97 fof(f207,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,f(f(X0,f(f(X0,X0),X1)),f(X0,X0)))=f(X0,f(f(X0,X0),X1)))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f145,f206])).
% 65.41/8.97 fof(f285,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,f(f(X0,X1),f(X0,X1)))=f(X0,X1))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f11,f10])).
% 65.41/8.97 fof(f426,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2))),f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2)))),X0)=f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2))))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f11,f175])).
% 65.41/8.97 fof(f437,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,f(f(X0,X1),f(X0,f(X0,X0))))=f(X0,X1))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f175,f15])).
% 65.41/8.97 fof(f466,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,X1),f(X0,X0))=X0)),
% 65.41/8.97 inference(backward_demodulation,[status(thm)],[f479,f11])).
% 65.41/8.97 fof(f479,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(X0,X0)=f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2))))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f11,f426])).
% 65.41/8.97 fof(f520,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,X0)=f(X0,f(f(X0,X0),X1)))),
% 65.41/8.97 inference(backward_demodulation,[status(thm)],[f466,f207])).
% 65.41/8.97 fof(f574,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(f(X0,X0),X1),X0)=f(X0,X0))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f466,f466])).
% 65.41/8.97 fof(f632,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(f(X0,X1),f(X1,X2)),f(f(X0,X1),f(X1,X2)))=f(f(f(X0,X1),f(X1,X2)),X1))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f3,f520])).
% 65.41/8.97 fof(f638,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,X0),f(X0,X0))=f(f(X0,X0),f(X0,X1)))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f466,f520])).
% 65.41/8.97 fof(f682,plain,(
% 65.41/8.97 ![X0,X1]: (X0=f(f(X0,X0),f(X0,X1)))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f466,f638])).
% 65.41/8.97 fof(f721,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,X1)=f(f(f(X0,X1),f(X0,X1)),X0))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f466,f682])).
% 65.41/8.97 fof(f803,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(X0,f(f(X1,X0),f(X0,X2)))=f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f3,f574])).
% 65.41/8.97 fof(f842,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(X0,f(f(X1,X0),f(X0,X2)))=f(f(f(X1,X0),f(X0,X2)),X0))),
% 65.41/8.97 inference(backward_demodulation,[status(thm)],[f803,f632])).
% 65.41/8.97 fof(f949,plain,(
% 65.41/8.97 ![X0,X1,X2,X3]: (f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2)))))=f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f3,f285])).
% 65.41/8.97 fof(f986,plain,(
% 65.41/8.97 ![X0,X1,X2,X3]: (f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,X1))=f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f3,f949])).
% 65.41/8.97 fof(f988,plain,(
% 65.41/8.97 ![X0,X1,X2,X3]: (f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,X1))=X1)),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f3,f986])).
% 65.41/8.97 fof(f1134,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(f(f(X0,X1),f(X1,f(X1,f(X1,X1)))),X2),f(X1,f(f(X0,X0),X0)))=X1)),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f437,f3])).
% 65.41/8.97 fof(f1194,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,X1),f(X1,X1))=X1)),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f466,f988])).
% 65.41/8.97 fof(f1337,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,X1),f(X1,X1))=f(f(f(f(X0,X1),f(X1,X1)),X1),f(X0,X1)))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f1194,f721])).
% 65.41/8.97 fof(f1346,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,f(f(X1,X0),f(X1,X0)))=f(X1,X0))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f1194,f466])).
% 65.41/8.97 fof(f1363,plain,(
% 65.41/8.97 ![X0,X1]: (X0=f(f(f(f(X1,X0),f(X0,X0)),X0),f(X1,X0)))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f1194,f1337])).
% 65.41/8.97 fof(f1364,plain,(
% 65.41/8.97 ![X0,X1]: (X0=f(f(X0,f(f(X1,X0),f(X0,X0))),f(X1,X0)))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f842,f1363])).
% 65.41/8.97 fof(f1365,plain,(
% 65.41/8.97 ![X0,X1]: (X0=f(f(X0,X0),f(X1,X0)))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f1194,f1364])).
% 65.41/8.97 fof(f1395,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,X0)=f(X0,f(X1,f(X0,X0))))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f1365,f1365])).
% 65.41/8.97 fof(f1459,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(f(f(X0,X1),f(X1,X1)),X2),f(X1,f(f(X0,X0),X0)))=X1)),
% 65.41/8.97 inference(backward_demodulation,[status(thm)],[f1395,f1134])).
% 65.41/8.97 fof(f1490,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(X0,X1),f(X0,f(f(X2,X2),X2)))=X0)),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f1194,f1459])).
% 65.41/8.97 fof(f5296,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,f(f(X1,X1),X1))=f(X0,X0))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f1490,f721])).
% 65.41/8.97 fof(f6430,plain,(
% 65.41/8.97 ![X0,X1]: (f(X0,f(X1,f(X1,X1)))=f(X0,X0))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f1365,f5296])).
% 65.41/8.97 fof(f6436,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,X0),f(f(X1,X1),X1))=X0)),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f1365,f5296])).
% 65.41/8.97 fof(f6560,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,X0),f(X1,f(X1,X1)))=X0)),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f1365,f6430])).
% 65.41/8.97 fof(f6732,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(f(X0,X0),X0),f(f(f(X1,X1),f(f(X0,X0),X0)),X1))=f(f(X1,X1),f(f(X0,X0),X0)))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f6436,f1346])).
% 65.41/8.97 fof(f6748,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(f(X0,X0),X0),f(X1,X1))=f(f(X1,X1),f(f(X0,X0),X0)))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f574,f6732])).
% 65.41/8.97 fof(f6749,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(f(X0,X0),X0),f(X1,X1))=X1)),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f6436,f6748])).
% 65.41/8.97 fof(f6851,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,f(X0,X0)),f(f(f(X1,X1),f(X0,f(X0,X0))),X1))=f(f(X1,X1),f(X0,f(X0,X0))))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f6560,f1346])).
% 65.41/8.97 fof(f6865,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,f(X0,X0)),f(X1,X1))=f(f(X1,X1),f(X0,f(X0,X0))))),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f574,f6851])).
% 65.41/8.97 fof(f6866,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,f(X0,X0)),f(X1,X1))=X1)),
% 65.41/8.97 inference(forward_demodulation,[status(thm)],[f6560,f6865])).
% 65.41/8.97 fof(f6919,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(X0,f(f(f(X1,X1),X1),f(f(X2,X2),X2)))=f(f(X1,X1),X1))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f6749,f1490])).
% 65.41/8.97 fof(f6963,plain,(
% 65.41/8.97 ![X0,X1]: (f(f(X0,f(X0,X0)),X1)=f(X1,X1))),
% 65.41/8.97 inference(paramodulation,[status(thm)],[f1365,f6866])).
% 65.41/8.97 fof(f7162,plain,(
% 65.41/8.97 ![X0,X1,X2]: (f(f(f(X0,f(X0,X0)),X1),f(f(f(X2,X2),X2),f(f(X2,X2),X2)))=f(X0,f(X0,X0)))),
% 65.41/9.02 inference(paramodulation,[status(thm)],[f6963,f1490])).
% 65.41/9.02 fof(f7236,plain,(
% 65.41/9.02 ![X0,X1]: (f(f(X0,X0),X0)=f(X1,f(X1,X1)))),
% 65.41/9.02 inference(forward_demodulation,[status(thm)],[f6919,f7162])).
% 65.41/9.02 fof(f7336,plain,(
% 65.41/9.02 ![X0,X1]: (f(X0,f(X0,X0))=f(X1,f(X1,X1)))),
% 65.41/9.02 inference(paramodulation,[status(thm)],[f6560,f7236])).
% 65.41/9.02 fof(f7418,plain,(
% 65.41/9.02 $false),
% 65.41/9.02 inference(backward_subsumption_resolution,[status(thm)],[f4,f7336])).
% 65.41/9.02 % SZS output end CNFRefutation for theBenchmark.p
% 46.15/36.45 % Elapsed time: 36.020836 seconds
% 46.15/36.45 % CPU time: 280.961703 seconds
% 46.15/36.45 % Total memory used: 131.920 GB
% 46.15/36.45 % Net memory used: 131.871 GB
%------------------------------------------------------------------------------