%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG007-1 : TPTP v9.3.1. Released v2.2.0.
% 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 11:49:26 AM UTC 2026
% Result : Unsatisfiable 41.97s 5.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG007-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 12:53:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 41.97/5.72 % Refutation found
% 41.97/5.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 41.97/5.72 % SZS output start CNFRefutation for theBenchmark
% 41.97/5.72 fof(f1,axiom,(
% 41.97/5.72 (![X,Y]: (difference(X,difference(Y,X)) = X ))),
% 41.97/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 41.97/5.72 fof(f2,axiom,(
% 41.97/5.72 (![X,Y]: (difference(X,difference(X,Y)) = difference(Y,difference(Y,X)) ))),
% 41.97/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 41.97/5.72 fof(f3,axiom,(
% 41.97/5.72 (![X,Y,Z]: (difference(difference(X,Y),Z) = difference(difference(X,Z),Y) ))),
% 41.97/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 41.97/5.72 fof(f4,negated_conjecture,(
% 41.97/5.72 difference(difference(a,b),c) != difference(difference(a,c),difference(b,c)) ),
% 41.97/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 41.97/5.72 fof(f5,plain,(
% 41.97/5.72 ![X0,X1]: (difference(X0,difference(X1,X0))=X0)),
% 41.97/5.72 inference(cnf_transformation,[status(thm)],[f1])).
% 41.97/5.72 fof(f6,plain,(
% 41.97/5.72 ![X0,X1]: (difference(X0,difference(X0,X1))=difference(X1,difference(X1,X0)))),
% 41.97/5.72 inference(cnf_transformation,[status(thm)],[f2])).
% 41.97/5.72 fof(f7,plain,(
% 41.97/5.72 ![X0,X1,X2]: (difference(difference(X0,X1),X2)=difference(difference(X0,X2),X1))),
% 41.97/5.72 inference(cnf_transformation,[status(thm)],[f3])).
% 41.97/5.72 fof(f8,plain,(
% 41.97/5.72 ~difference(difference(a,b),c)=difference(difference(a,c),difference(b,c))),
% 41.97/5.72 inference(cnf_transformation,[status(thm)],[f4])).
% 41.97/5.72 fof(f15,plain,(
% 41.97/5.72 ~difference(difference(a,c),b)=difference(difference(a,c),difference(b,c))),
% 41.97/5.72 inference(forward_demodulation,[status(thm)],[f7,f8])).
% 41.97/5.72 fof(f16,plain,(
% 41.97/5.72 ![X0,X1]: (difference(difference(X0,X1),X1)=difference(X0,X1))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f5,f5])).
% 41.97/5.72 fof(f22,plain,(
% 41.97/5.72 ![X0,X1]: (difference(difference(X0,X1),difference(X0,X1))=difference(X1,difference(X1,difference(X0,X1))))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f16,f6])).
% 41.97/5.72 fof(f30,plain,(
% 41.97/5.72 ![X0,X1]: (difference(difference(X0,X1),difference(X0,X1))=difference(X1,X1))),
% 41.97/5.72 inference(forward_demodulation,[status(thm)],[f5,f22])).
% 41.97/5.72 fof(f93,plain,(
% 41.97/5.72 ![X0,X1,X2,X3]: (difference(difference(difference(X0,X1),X2),X3)=difference(difference(difference(X0,X2),X3),X1))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f7,f7])).
% 41.97/5.72 fof(f96,plain,(
% 41.97/5.72 ![X0,X1,X2]: (difference(difference(X0,difference(X0,X1)),X2)=difference(difference(X1,X2),difference(X1,X0)))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f6,f7])).
% 41.97/5.72 fof(f98,plain,(
% 41.97/5.72 ![X0,X1,X2]: (difference(X0,X1)=difference(difference(X0,X1),difference(X2,X0)))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f5,f7])).
% 41.97/5.72 fof(f115,plain,(
% 41.97/5.72 ![X0,X1,X2]: (difference(X0,difference(difference(X1,X0),X2))=X0)),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f7,f5])).
% 41.97/5.72 fof(f146,plain,(
% 41.97/5.72 ![X0,X1,X2,X3]: (difference(difference(X0,X1),difference(difference(X2,X0),X3))=difference(X0,X1))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f115,f7])).
% 41.97/5.72 fof(f149,plain,(
% 41.97/5.72 ![X0,X1,X2]: (difference(difference(X0,difference(difference(X1,X0),X2)),X0)=difference(difference(difference(X1,X0),X2),difference(difference(X1,X0),X2)))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f115,f30])).
% 41.97/5.72 fof(f159,plain,(
% 41.97/5.72 ![X0,X1,X2]: (difference(difference(X0,X0),difference(difference(X1,X0),X2))=difference(difference(difference(X1,X0),X2),difference(difference(X1,X0),X2)))),
% 41.97/5.72 inference(forward_demodulation,[status(thm)],[f7,f149])).
% 41.97/5.72 fof(f160,plain,(
% 41.97/5.72 ![X0,X1,X2]: (difference(X0,X0)=difference(difference(difference(X1,X0),X2),difference(difference(X1,X0),X2)))),
% 41.97/5.72 inference(forward_demodulation,[status(thm)],[f146,f159])).
% 41.97/5.72 fof(f161,plain,(
% 41.97/5.72 ![X0,X1]: (difference(X0,X0)=difference(X1,X1))),
% 41.97/5.72 inference(forward_demodulation,[status(thm)],[f30,f160])).
% 41.97/5.72 fof(f168,plain,(
% 41.97/5.72 ![X0,X1]: (difference(X0,difference(X1,X1))=X0)),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f161,f115])).
% 41.97/5.72 fof(f206,plain,(
% 41.97/5.72 ![X0,X1]: (difference(difference(X0,X0),X1)=difference(X0,X0))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f168,f5])).
% 41.97/5.72 fof(f211,plain,(
% 41.97/5.72 ![X0,X1]: (difference(difference(X0,X1),X0)=difference(X0,X0))),
% 41.97/5.72 inference(paramodulation,[status(thm)],[f7,f206])).
% 41.97/5.72 fof(f282,plain,(
% 41.97/5.72 ![X0,X1]: (difference(X0,difference(X0,difference(X0,X1)))=difference(difference(X0,X1),difference(X0,X0)))),
% 41.97/5.75 inference(paramodulation,[status(thm)],[f211,f6])).
% 41.97/5.75 fof(f291,plain,(
% 41.97/5.75 ![X0,X1]: (difference(X0,difference(X0,difference(X0,X1)))=difference(X0,X1))),
% 41.97/5.75 inference(forward_demodulation,[status(thm)],[f168,f282])).
% 41.97/5.75 fof(f314,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(difference(X0,X1),difference(X0,difference(X0,X2)))=difference(difference(X0,X2),X1))),
% 41.97/5.75 inference(paramodulation,[status(thm)],[f291,f7])).
% 41.97/5.75 fof(f879,plain,(
% 41.97/5.75 ![X0,X1,X2,X3]: (difference(difference(difference(X0,X1),X2),difference(X3,X0))=difference(difference(X0,X2),X1))),
% 41.97/5.75 inference(paramodulation,[status(thm)],[f98,f93])).
% 41.97/5.75 fof(f1015,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(X0,difference(X0,X1))=difference(difference(X1,difference(X2,X0)),difference(X1,X0)))),
% 41.97/5.75 inference(paramodulation,[status(thm)],[f98,f96])).
% 41.97/5.75 fof(f9181,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(difference(X0,X1),difference(difference(X0,X1),difference(X0,X2)))=difference(difference(difference(X0,X1),X2),difference(difference(X0,X2),difference(X0,X1))))),
% 41.97/5.75 inference(paramodulation,[status(thm)],[f314,f1015])).
% 41.97/5.75 fof(f9183,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(X0,difference(X0,difference(X1,X2)))=difference(difference(difference(X0,difference(X0,X1)),X2),difference(difference(X1,X2),X0)))),
% 41.97/5.75 inference(paramodulation,[status(thm)],[f96,f1015])).
% 41.97/5.75 fof(f9454,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(difference(X0,X1),difference(difference(X0,X1),difference(X0,X2)))=difference(difference(X0,X1),X2))),
% 41.97/5.75 inference(forward_demodulation,[status(thm)],[f98,f9181])).
% 41.97/5.75 fof(f9532,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(difference(X0,X1),difference(X0,difference(X0,difference(X2,X1))))=difference(difference(X0,X1),X2))),
% 41.97/5.75 inference(backward_demodulation,[status(thm)],[f9601,f9454])).
% 41.97/5.75 fof(f9601,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(X0,difference(X0,difference(X1,X2)))=difference(difference(X0,X2),difference(X0,X1)))),
% 41.97/5.75 inference(forward_demodulation,[status(thm)],[f879,f9183])).
% 41.97/5.75 fof(f10327,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(difference(X0,difference(X1,X2)),X2)=difference(difference(X0,X2),X1))),
% 41.97/5.75 inference(forward_demodulation,[status(thm)],[f314,f9532])).
% 41.97/5.75 fof(f10329,plain,(
% 41.97/5.75 ~difference(difference(a,c),b)=difference(difference(a,c),b)),
% 41.97/5.75 inference(backward_demodulation,[status(thm)],[f10366,f15])).
% 41.97/5.75 fof(f10366,plain,(
% 41.97/5.75 ![X0,X1,X2]: (difference(difference(X0,X1),difference(X2,X1))=difference(difference(X0,X1),X2))),
% 41.97/5.75 inference(forward_demodulation,[status(thm)],[f7,f10327])).
% 41.97/5.75 fof(f10910,plain,(
% 41.97/5.75 $false),
% 41.97/5.75 inference(trivial_equality_resolution,[status(thm)],[f10329])).
% 41.97/5.75 % SZS output end CNFRefutation for theBenchmark.p
% 75.25/31.50 % Elapsed time: 30.945030 seconds
% 75.25/31.50 % CPU time: 215.043712 seconds
% 75.25/31.50 % Total memory used: 112.215 GB
% 75.25/31.50 % Net memory used: 112.213 GB
%------------------------------------------------------------------------------