%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN011-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:45:30 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN011-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:49:22 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.13/0.54 % Refutation found
% 0.13/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.54 fof(f3,axiom,(
% 0.13/0.54 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f4,axiom,(
% 0.13/0.54 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f6,axiom,(
% 0.13/0.54 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f12,axiom,(
% 0.13/0.54 (![X,Y,Z]: (( ~ less_equal(X,Y)| ~ less_equal(Y,Z)| less_equal(X,Z) ) ))),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f13,axiom,(
% 0.13/0.54 (![X,Y,Z]: (( ~ less_equal(divide(X,Y),Z)| less_equal(divide(X,Z),Y) ) ))),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f16,axiom,(
% 0.13/0.54 (![X]: (divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ))),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f18,negated_conjecture,(
% 0.13/0.54 divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))) ),
% 0.13/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f21,plain,(
% 0.13/0.54 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.54 fof(f22,plain,(
% 0.13/0.54 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.54 fof(f24,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.54 fof(f30,plain,(
% 0.13/0.54 ![X,Z]: ((![Y]: (~less_equal(X,Y)|~less_equal(Y,Z)))|less_equal(X,Z))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f12])).
% 0.13/0.54 fof(f31,plain,(
% 0.13/0.54 ![X0,X1,X2]: (~less_equal(X0,X1)|~less_equal(X1,X2)|less_equal(X0,X2))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.54 fof(f32,plain,(
% 0.13/0.54 ![X0,X1,X2]: (~less_equal(divide(X0,X1),X2)|less_equal(divide(X0,X2),X1))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.54 fof(f37,plain,(
% 0.13/0.54 ![X0]: (divide(identity,divide(identity,divide(identity,X0)))=divide(identity,X0))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.54 fof(f39,plain,(
% 0.13/0.54 ~divide(divide(identity,a),divide(identity,divide(identity,b)))=divide(divide(identity,b),divide(identity,divide(identity,a)))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.54 fof(f129,plain,(
% 0.13/0.54 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(divide(X0,X2),X1)),divide(X2,X1)))),
% 0.13/0.54 inference(resolution,[status(thm)],[f32,f22])).
% 0.13/0.54 fof(f404,plain,(
% 0.13/0.54 ![X0,X1,X2]: (~less_equal(X0,divide(X1,X2))|less_equal(X0,X1))),
% 0.13/0.54 inference(resolution,[status(thm)],[f31,f21])).
% 0.13/0.54 fof(f2075,plain,(
% 0.13/0.54 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(divide(X0,X2),X1)),X2))),
% 0.13/0.54 inference(resolution,[status(thm)],[f129,f404])).
% 0.13/0.54 fof(f2147,plain,(
% 0.13/0.54 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)))),
% 0.13/0.54 inference(resolution,[status(thm)],[f2075,f32])).
% 0.13/0.54 fof(f2220,plain,(
% 0.13/0.54 ![X0,X1,X2]: (~less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1))|divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1))),
% 0.13/0.54 inference(resolution,[status(thm)],[f2147,f24])).
% 0.13/0.54 fof(f2256,plain,(
% 0.13/0.54 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1))),
% 0.13/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2220,f2147])).
% 0.13/0.54 fof(f2299,plain,(
% 0.13/0.54 ![X0,X1]: (divide(divide(identity,X0),X1)=divide(divide(identity,X1),divide(identity,divide(identity,X0))))),
% 0.13/0.54 inference(paramodulation,[status(thm)],[f37,f2256])).
% 0.13/0.54 fof(f2536,plain,(
% 0.13/0.54 ~divide(divide(identity,a),divide(identity,divide(identity,b)))=divide(divide(identity,a),b)),
% 0.13/0.54 inference(backward_demodulation,[status(thm)],[f2299,f39])).
% 0.13/0.54 fof(f2681,plain,(
% 0.13/0.54 ~divide(divide(identity,b),a)=divide(divide(identity,a),b)),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f2299,f2536])).
% 0.13/0.54 fof(f2682,plain,(
% 0.13/0.54 $false),
% 0.13/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2681,f2256])).
% 0.13/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.56 % Elapsed time: 0.203245 seconds
% 0.13/0.56 % CPU time: 1.317480 seconds
% 0.13/0.56 % Total memory used: 88.538 MB
% 0.13/0.56 % Net memory used: 86.138 MB
%------------------------------------------------------------------------------