%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN005-2 : 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 : 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 12:45:26 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.52 % Computer : n003.cluster.edu
% 0.08/0.52 % Model : x86_64 x86_64
% 0.08/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.52 % Memory : 8046.5625MB
% 0.08/0.52 % OS : Linux 6.8.0-71-generic
% 0.08/0.52 % CPULimit : 300
% 0.08/0.52 % WCLimit : 300
% 0.08/0.52 % DateTime : Sun Sep 20 20:47:16 UTC 2026
% 0.08/0.52 % CPUTime :
% 0.08/0.53 % Drodi V4.1.1
% 0.15/0.66 % Refutation found
% 0.15/0.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.66 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.66 fof(f1,axiom,(
% 0.15/0.66 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f2,axiom,(
% 0.15/0.66 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f3,axiom,(
% 0.15/0.66 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f4,axiom,(
% 0.15/0.66 (![X,Y,V1,Z,V2,V3,V4,V5]: (( ~ quotient(X,Y,V1)| ~ quotient(Y,Z,V2)| ~ quotient(X,Z,V3)| ~ quotient(V3,V2,V4)| ~ quotient(V1,Z,V5)| less_equal(V4,V5) ) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f5,axiom,(
% 0.15/0.66 (![X]: (less_equal(zero,X) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f6,axiom,(
% 0.15/0.66 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f8,axiom,(
% 0.15/0.66 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f9,axiom,(
% 0.15/0.66 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f13,axiom,(
% 0.15/0.66 (![X]: (quotient(X,zero,X) ))),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f14,hypothesis,(
% 0.15/0.66 less_equal(x,y) ),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f15,hypothesis,(
% 0.15/0.66 less_equal(y,z) ),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f16,negated_conjecture,(
% 0.15/0.66 ~ less_equal(x,z) ),
% 0.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.66 fof(f17,plain,(
% 0.15/0.66 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.66 fof(f18,plain,(
% 0.15/0.66 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.66 fof(f19,plain,(
% 0.15/0.66 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 0.15/0.66 inference(miniscoping,[status(thm)],[f3])).
% 0.15/0.66 fof(f20,plain,(
% 0.15/0.66 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.66 fof(f21,plain,(
% 0.15/0.66 ![V4,V5]: ((![V1,Z]: ((![V2,V3]: ((![X]: ((![Y]: (~quotient(X,Y,V1)|~quotient(Y,Z,V2)))|~quotient(X,Z,V3)))|~quotient(V3,V2,V4)))|~quotient(V1,Z,V5)))|less_equal(V4,V5))),
% 0.15/0.66 inference(miniscoping,[status(thm)],[f4])).
% 0.15/0.66 fof(f22,plain,(
% 0.15/0.66 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~quotient(X0,X1,X2)|~quotient(X1,X3,X4)|~quotient(X0,X3,X5)|~quotient(X5,X4,X6)|~quotient(X2,X3,X7)|less_equal(X6,X7))),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.66 fof(f23,plain,(
% 0.15/0.66 ![X0]: (less_equal(zero,X0))),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.66 fof(f24,plain,(
% 0.15/0.66 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.66 fof(f26,plain,(
% 0.15/0.66 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.66 fof(f27,plain,(
% 0.15/0.66 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 0.15/0.66 inference(miniscoping,[status(thm)],[f9])).
% 0.15/0.66 fof(f28,plain,(
% 0.15/0.66 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.66 fof(f32,plain,(
% 0.15/0.66 ![X0]: (quotient(X0,zero,X0))),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.66 fof(f33,plain,(
% 0.15/0.66 less_equal(x,y)),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.66 fof(f34,plain,(
% 0.15/0.66 less_equal(y,z)),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.66 fof(f35,plain,(
% 0.15/0.66 ~less_equal(x,z)),
% 0.15/0.66 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.66 fof(f38,plain,(
% 0.15/0.66 quotient(y,z,zero)),
% 0.15/0.66 inference(resolution,[status(thm)],[f17,f34])).
% 0.15/0.66 fof(f39,plain,(
% 0.15/0.66 quotient(x,y,zero)),
% 0.15/0.66 inference(resolution,[status(thm)],[f17,f33])).
% 0.15/0.66 fof(f41,plain,(
% 0.15/0.66 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 0.15/0.66 inference(resolution,[status(thm)],[f23,f24])).
% 0.15/0.66 fof(f55,plain,(
% 0.15/0.66 ![X0,X1,X2,X3,X4,X5,X6]: (~quotient(X0,X1,X2)|~quotient(X3,X1,X4)|~quotient(X4,X2,X5)|~quotient(divide(X3,X0),X1,X6)|less_equal(X5,X6))),
% 0.15/0.66 inference(resolution,[status(thm)],[f26,f22])).
% 0.15/0.66 fof(f56,plain,(
% 0.15/0.66 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.15/0.66 inference(resolution,[status(thm)],[f26,f20])).
% 0.15/0.66 fof(f68,plain,(
% 0.15/0.66 ![X0]: (~quotient(x,y,X0)|zero=X0)),
% 0.15/0.66 inference(resolution,[status(thm)],[f39,f28])).
% 0.15/0.66 fof(f71,plain,(
% 0.15/0.66 ![X0]: (zero=divide(zero,X0))),
% 0.15/0.66 inference(resolution,[status(thm)],[f41,f56])).
% 0.15/0.66 fof(f114,plain,(
% 0.15/0.66 ![X0,X1,X2,X3]: (~quotient(X0,z,X1)|~quotient(X1,zero,X2)|~quotient(divide(X0,y),z,X3)|less_equal(X2,X3))),
% 0.15/0.66 inference(resolution,[status(thm)],[f55,f38])).
% 0.15/0.66 fof(f150,plain,(
% 0.15/0.66 zero=divide(x,y)),
% 0.15/0.66 inference(resolution,[status(thm)],[f68,f26])).
% 0.15/0.66 fof(f365,plain,(
% 0.15/0.66 ![X0,X1,X2]: (~quotient(divide(X0,z),zero,X1)|~quotient(divide(X0,y),z,X2)|less_equal(X1,X2))),
% 0.15/0.66 inference(resolution,[status(thm)],[f114,f26])).
% 0.15/0.66 fof(f1026,plain,(
% 0.15/0.66 ![X0,X1]: (~quotient(divide(X0,y),z,X1)|less_equal(divide(X0,z),X1))),
% 0.15/0.66 inference(resolution,[status(thm)],[f365,f32])).
% 0.15/0.66 fof(f1232,plain,(
% 0.15/0.66 ![X0]: (less_equal(divide(X0,z),divide(divide(X0,y),z)))),
% 0.15/0.66 inference(resolution,[status(thm)],[f1026,f26])).
% 0.15/0.66 fof(f1253,plain,(
% 0.15/0.66 less_equal(divide(x,z),divide(zero,z))),
% 0.15/0.66 inference(paramodulation,[status(thm)],[f150,f1232])).
% 0.15/0.66 fof(f1264,plain,(
% 0.15/0.66 less_equal(divide(x,z),zero)),
% 0.15/0.66 inference(forward_demodulation,[status(thm)],[f71,f1253])).
% 0.15/0.66 fof(f1315,plain,(
% 0.15/0.66 zero=divide(x,z)),
% 0.15/0.66 inference(resolution,[status(thm)],[f1264,f41])).
% 0.15/0.66 fof(f1352,plain,(
% 0.15/0.66 quotient(x,z,zero)),
% 0.15/0.66 inference(paramodulation,[status(thm)],[f1315,f26])).
% 0.15/0.66 fof(f1371,plain,(
% 0.15/0.66 less_equal(x,z)),
% 0.15/0.66 inference(resolution,[status(thm)],[f1352,f18])).
% 0.15/0.66 fof(f1389,plain,(
% 0.15/0.66 $false),
% 0.15/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1371,f35])).
% 0.15/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.68 % Elapsed time: 0.147403 seconds
% 0.15/0.68 % CPU time: 0.901635 seconds
% 0.15/0.68 % Total memory used: 53.591 MB
% 0.15/0.68 % Net memory used: 51.571 MB
%------------------------------------------------------------------------------