%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HWV052-1.002.001 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:46:57 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV052-1.002.001 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 20 21:05:00 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42 fof(f1,axiom,(
% 0.11/0.42 (![X]: (( X = o| X = i ) ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f2,axiom,(
% 0.11/0.42 (![X]: (inv(X) != X ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f3,axiom,(
% 0.11/0.42 (![X1,X2]: (unpack1(X1,X2,pack1(X1,X2)) = X1 ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f4,axiom,(
% 0.11/0.42 (![X1,X2]: (unpack1(inv(X1),X2,pack1(X1,X2)) = X1 ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f6,axiom,(
% 0.11/0.42 (![X1,X2]: (unpack1(X1,X2,inv(pack1(X1,X2))) = X1 ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f7,axiom,(
% 0.11/0.42 (![X1,X2]: (unpack2(X1,X2,pack1(X1,X2)) = X2 ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f9,axiom,(
% 0.11/0.42 (![X1,X2]: (unpack2(X1,inv(X2),pack1(X1,X2)) = X2 ))),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f11,plain,(
% 0.11/0.42 ![X0]: (X0=o|X0=i)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.42 fof(f12,plain,(
% 0.11/0.42 ![X0]: (~inv(X0)=X0)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.42 fof(f13,plain,(
% 0.11/0.42 ![X0,X1]: (unpack1(X0,X1,pack1(X0,X1))=X0)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.42 fof(f14,plain,(
% 0.11/0.42 ![X0,X1]: (unpack1(inv(X0),X1,pack1(X0,X1))=X0)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.42 fof(f16,plain,(
% 0.11/0.42 ![X0,X1]: (unpack1(X0,X1,inv(pack1(X0,X1)))=X0)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.42 fof(f17,plain,(
% 0.11/0.42 ![X0,X1]: (unpack2(X0,X1,pack1(X0,X1))=X1)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.42 fof(f19,plain,(
% 0.11/0.42 ![X0,X1]: (unpack2(X0,inv(X1),pack1(X0,X1))=X1)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.42 fof(f25,plain,(
% 0.11/0.42 ![X0,X1]: (unpack1(X0,X1,i)=X0|pack1(X0,X1)=o)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f11,f13])).
% 0.11/0.42 fof(f33,plain,(
% 0.11/0.42 ![X0,X1]: (unpack1(inv(X0),X1,i)=X0|pack1(X0,X1)=o)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f11,f14])).
% 0.11/0.42 fof(f43,plain,(
% 0.11/0.42 ![X0,X1]: (unpack1(X0,X1,i)=X0|inv(pack1(X0,X1))=o)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f11,f16])).
% 0.11/0.42 fof(f185,plain,(
% 0.11/0.42 ![X0,X1]: (~o=pack1(X0,X1)|unpack1(X0,X1,i)=X0)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f43,f12])).
% 0.11/0.42 fof(f187,plain,(
% 0.11/0.42 ![X0,X1]: (unpack1(X0,X1,i)=X0)),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f185,f25])).
% 0.11/0.42 fof(f192,plain,(
% 0.11/0.42 ![X0,X1]: (inv(X0)=X0|pack1(X0,X1)=o)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f187,f33])).
% 0.11/0.42 fof(f201,plain,(
% 0.11/0.42 ![X0,X1]: (pack1(X0,X1)=o)),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f192,f12])).
% 0.11/0.42 fof(f226,plain,(
% 0.11/0.42 ![X0,X1]: (unpack2(X0,inv(X1),o)=X1)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f201,f19])).
% 0.11/0.42 fof(f228,plain,(
% 0.11/0.42 ![X0,X1]: (unpack2(X0,X1,o)=X1)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f201,f17])).
% 0.11/0.42 fof(f262,plain,(
% 0.11/0.42 ![X0]: (inv(X0)=X0)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f228,f226])).
% 0.11/0.42 fof(f267,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f262,f12])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.042731 seconds
% 0.11/0.44 % CPU time: 0.120110 seconds
% 0.11/0.44 % Total memory used: 2.474 MB
% 0.11/0.44 % Net memory used: 2.274 MB
%------------------------------------------------------------------------------