%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:35:26 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.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 : Sun Sep 20 19:56:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![X]: (product(X,identity,X) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![X]: (product(inverse(X),X,identity) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,axiom,(
% 0.09/0.39 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f9,hypothesis,(
% 0.09/0.39 (![A]: (product(A,A,identity) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f10,hypothesis,(
% 0.09/0.39 product(a,b,c) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,hypothesis,(
% 0.09/0.39 product(inverse(a),inverse(b),d) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f12,hypothesis,(
% 0.09/0.39 (![A,B,C]: (( ~ product(inverse(A),inverse(B),C)| product(A,C,B) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,negated_conjecture,(
% 0.09/0.39 ~ product(c,d,identity) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 ![X0]: (product(X0,identity,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 ![X0]: (product(inverse(X0),X0,identity))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 ![X0]: (product(X0,X0,identity))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 product(a,b,c)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.39 fof(f27,plain,(
% 0.09/0.39 product(inverse(a),inverse(b),d)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~product(inverse(X0),inverse(X1),X2)|product(X0,X2,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 ~product(c,d,identity)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 ![X0]: (~product(a,b,X0)|c=X0)),
% 0.09/0.39 inference(resolution,[status(thm)],[f20,f26])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 ![X0,X1]: (~product(X0,identity,X1)|X0=X1)),
% 0.09/0.39 inference(resolution,[status(thm)],[f20,f15])).
% 0.09/0.39 fof(f71,plain,(
% 0.09/0.39 ![X0]: (product(inverse(X0),identity,X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f28,f16])).
% 0.09/0.39 fof(f91,plain,(
% 0.09/0.39 ![X0]: (inverse(X0)=X0)),
% 0.09/0.39 inference(resolution,[status(thm)],[f71,f34])).
% 0.09/0.39 fof(f96,plain,(
% 0.09/0.39 product(inverse(a),b,d)),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f91,f27])).
% 0.09/0.39 fof(f102,plain,(
% 0.09/0.39 product(a,b,d)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f91,f96])).
% 0.09/0.39 fof(f105,plain,(
% 0.09/0.39 c=d),
% 0.09/0.39 inference(resolution,[status(thm)],[f102,f30])).
% 0.09/0.39 fof(f118,plain,(
% 0.09/0.39 ~product(c,c,identity)),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f105,f29])).
% 0.09/0.39 fof(f119,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f118,f25])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.042467 seconds
% 0.09/0.41 % CPU time: 0.131629 seconds
% 0.09/0.41 % Total memory used: 36.269 MB
% 0.09/0.41 % Net memory used: 35.905 MB
%------------------------------------------------------------------------------