%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN007-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:45:28 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN007-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:51:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.50 % Refutation found
% 0.13/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.50 fof(f1,axiom,(
% 0.13/0.50 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f3,axiom,(
% 0.13/0.50 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f8,axiom,(
% 0.13/0.50 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f9,axiom,(
% 0.13/0.50 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f13,axiom,(
% 0.13/0.50 (![X]: (quotient(X,zero,X) ))),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f14,axiom,(
% 0.13/0.50 (![X,Y,Z]: (( ~ less_equal(X,Y)| ~ less_equal(Y,Z)| less_equal(X,Z) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f15,axiom,(
% 0.13/0.50 (![X,Y,W1,Z,W2]: (( ~ quotient(X,Y,W1)| ~ less_equal(W1,Z)| ~ quotient(X,Z,W2)| less_equal(W2,Y) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f16,hypothesis,(
% 0.13/0.50 less_equal(x,y) ),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f17,hypothesis,(
% 0.13/0.50 quotient(z,y,zQy) ),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f18,hypothesis,(
% 0.13/0.50 quotient(z,x,zQx) ),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f19,negated_conjecture,(
% 0.13/0.50 ~ less_equal(zQy,zQx) ),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f20,plain,(
% 0.13/0.50 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.50 fof(f22,plain,(
% 0.13/0.50 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 0.13/0.50 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.50 fof(f23,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.50 fof(f29,plain,(
% 0.13/0.50 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.50 fof(f30,plain,(
% 0.13/0.50 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 0.13/0.50 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.50 fof(f31,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.50 fof(f35,plain,(
% 0.13/0.50 ![X0]: (quotient(X0,zero,X0))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.50 fof(f36,plain,(
% 0.13/0.50 ![X,Z]: ((![Y]: (~less_equal(X,Y)|~less_equal(Y,Z)))|less_equal(X,Z))),
% 0.13/0.50 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.50 fof(f37,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~less_equal(X0,X1)|~less_equal(X1,X2)|less_equal(X0,X2))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.50 fof(f38,plain,(
% 0.13/0.50 ![Y,W2]: ((![X,Z]: ((![W1]: (~quotient(X,Y,W1)|~less_equal(W1,Z)))|~quotient(X,Z,W2)))|less_equal(W2,Y))),
% 0.13/0.50 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.50 fof(f39,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4]: (~quotient(X0,X1,X2)|~less_equal(X2,X3)|~quotient(X0,X3,X4)|less_equal(X4,X1))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.50 fof(f40,plain,(
% 0.13/0.50 less_equal(x,y)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.50 fof(f41,plain,(
% 0.13/0.50 quotient(z,y,zQy)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.50 fof(f42,plain,(
% 0.13/0.50 quotient(z,x,zQx)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.50 fof(f43,plain,(
% 0.13/0.50 ~less_equal(zQy,zQx)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.50 fof(f59,plain,(
% 0.13/0.50 ![X0]: (less_equal(X0,X0))),
% 0.13/0.50 inference(resolution,[status(thm)],[f35,f23])).
% 0.13/0.50 fof(f83,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (~less_equal(divide(X0,X1),X2)|~quotient(X0,X2,X3)|less_equal(X3,X1))),
% 0.13/0.50 inference(resolution,[status(thm)],[f39,f29])).
% 0.13/0.50 fof(f126,plain,(
% 0.13/0.50 ![X0]: (~quotient(z,x,X0)|zQx=X0)),
% 0.13/0.50 inference(resolution,[status(thm)],[f31,f42])).
% 0.13/0.50 fof(f129,plain,(
% 0.13/0.50 ![X0,X1]: (~quotient(X0,zero,X1)|X0=X1)),
% 0.13/0.50 inference(resolution,[status(thm)],[f31,f35])).
% 0.13/0.50 fof(f130,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~quotient(X0,X1,X2)|divide(X0,X1)=X2)),
% 0.13/0.50 inference(resolution,[status(thm)],[f31,f29])).
% 0.13/0.50 fof(f172,plain,(
% 0.13/0.50 ![X0]: (X0=divide(X0,zero))),
% 0.13/0.50 inference(resolution,[status(thm)],[f129,f29])).
% 0.13/0.51 fof(f255,plain,(
% 0.13/0.51 zQx=divide(z,x)),
% 0.13/0.51 inference(resolution,[status(thm)],[f126,f29])).
% 0.13/0.51 fof(f258,plain,(
% 0.13/0.51 ![X0,X1,X2]: (~quotient(X0,divide(X0,X1),X2)|less_equal(X2,X1))),
% 0.13/0.51 inference(resolution,[status(thm)],[f83,f59])).
% 0.13/0.51 fof(f645,plain,(
% 0.13/0.51 ![X0,X1]: (less_equal(divide(X0,divide(X0,X1)),X1))),
% 0.13/0.51 inference(resolution,[status(thm)],[f258,f29])).
% 0.13/0.51 fof(f664,plain,(
% 0.13/0.51 ![X0,X1,X2]: (~less_equal(X0,X1)|less_equal(divide(X2,divide(X2,X0)),X1))),
% 0.13/0.51 inference(resolution,[status(thm)],[f645,f37])).
% 0.13/0.51 fof(f673,plain,(
% 0.13/0.51 less_equal(divide(z,zQx),x)),
% 0.13/0.51 inference(paramodulation,[status(thm)],[f255,f645])).
% 0.13/0.51 fof(f701,plain,(
% 0.13/0.51 quotient(divide(z,zQx),x,zero)),
% 0.13/0.51 inference(resolution,[status(thm)],[f673,f20])).
% 0.13/0.51 fof(f988,plain,(
% 0.13/0.51 divide(divide(z,zQx),x)=zero),
% 0.13/0.51 inference(resolution,[status(thm)],[f701,f130])).
% 0.13/0.51 fof(f1634,plain,(
% 0.13/0.51 ![X0]: (less_equal(divide(X0,divide(X0,x)),y))),
% 0.13/0.51 inference(resolution,[status(thm)],[f664,f40])).
% 0.13/0.51 fof(f1651,plain,(
% 0.13/0.51 less_equal(divide(divide(z,zQx),zero),y)),
% 0.13/0.51 inference(paramodulation,[status(thm)],[f988,f1634])).
% 0.13/0.51 fof(f1658,plain,(
% 0.13/0.51 less_equal(divide(z,zQx),y)),
% 0.13/0.51 inference(forward_demodulation,[status(thm)],[f172,f1651])).
% 0.13/0.51 fof(f1664,plain,(
% 0.13/0.51 ![X0]: (~quotient(z,y,X0)|less_equal(X0,zQx))),
% 0.13/0.51 inference(resolution,[status(thm)],[f1658,f83])).
% 0.13/0.51 fof(f1763,plain,(
% 0.13/0.51 less_equal(zQy,zQx)),
% 0.13/0.51 inference(resolution,[status(thm)],[f1664,f41])).
% 0.13/0.51 fof(f1765,plain,(
% 0.13/0.51 $false),
% 0.13/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1763,f43])).
% 0.13/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.52 % Elapsed time: 0.142895 seconds
% 0.13/0.52 % CPU time: 0.917793 seconds
% 0.13/0.52 % Total memory used: 52.754 MB
% 0.13/0.52 % Net memory used: 50.971 MB
%------------------------------------------------------------------------------