%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO004-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:06:42 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO004-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n019.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 13:46:05 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.59 % Refutation found
% 0.10/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.59 fof(f1,axiom,(
% 0.10/0.59 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f2,axiom,(
% 0.10/0.59 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f3,axiom,(
% 0.10/0.59 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f4,axiom,(
% 0.10/0.59 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f5,axiom,(
% 0.10/0.59 (![X]: (add(X,additive_identity) = X ))),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f6,axiom,(
% 0.10/0.59 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f8,axiom,(
% 0.10/0.59 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f9,negated_conjecture,(
% 0.10/0.59 add(a,a) != a ),
% 0.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f10,plain,(
% 0.10/0.59 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.59 fof(f11,plain,(
% 0.10/0.59 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.59 fof(f12,plain,(
% 0.10/0.59 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.59 fof(f13,plain,(
% 0.10/0.59 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.59 fof(f14,plain,(
% 0.10/0.59 ![X0]: (add(X0,additive_identity)=X0)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.59 fof(f15,plain,(
% 0.10/0.59 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.59 fof(f17,plain,(
% 0.10/0.59 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.59 fof(f18,plain,(
% 0.10/0.59 ~add(a,a)=a),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.59 fof(f25,plain,(
% 0.10/0.59 ![X0]: (add(additive_identity,X0)=X0)),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f10,f14])).
% 0.10/0.59 fof(f39,plain,(
% 0.10/0.59 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X2),add(X0,X1)))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f11,f12])).
% 0.10/0.59 fof(f43,plain,(
% 0.10/0.59 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X1,X0),add(X0,X2)))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f10,f12])).
% 0.10/0.59 fof(f53,plain,(
% 0.10/0.59 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.10/0.59 fof(f73,plain,(
% 0.10/0.59 ![X0,X1]: (multiply(X0,add(multiplicative_identity,X1))=add(X0,multiply(X0,X1)))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f15,f13])).
% 0.10/0.59 fof(f90,plain,(
% 0.10/0.59 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=add(additive_identity,multiply(X0,X1)))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f17,f13])).
% 0.10/0.59 fof(f92,plain,(
% 0.10/0.59 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=multiply(X0,X1))),
% 0.10/0.59 inference(forward_demodulation,[status(thm)],[f25,f90])).
% 0.10/0.59 fof(f99,plain,(
% 0.10/0.59 ![X0,X1]: (add(X0,multiply(X1,additive_identity))=multiply(X0,add(X0,X1)))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f14,f39])).
% 0.10/0.59 fof(f121,plain,(
% 0.10/0.59 ![X0]: (multiply(X0,inverse(X0))=multiply(X0,additive_identity))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f14,f92])).
% 0.10/0.59 fof(f130,plain,(
% 0.10/0.59 ![X0,X1]: (add(X0,additive_identity)=multiply(X0,add(X0,X1)))),
% 0.10/0.59 inference(backward_demodulation,[status(thm)],[f132,f99])).
% 0.10/0.59 fof(f132,plain,(
% 0.10/0.59 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 0.10/0.59 inference(forward_demodulation,[status(thm)],[f17,f121])).
% 0.10/0.59 fof(f138,plain,(
% 0.10/0.59 ![X0,X1]: (X0=multiply(X0,add(X0,X1)))),
% 0.10/0.59 inference(forward_demodulation,[status(thm)],[f14,f130])).
% 0.10/0.59 fof(f173,plain,(
% 0.10/0.59 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f53,f138])).
% 0.10/0.59 fof(f177,plain,(
% 0.10/0.59 ![X0]: (X0=multiply(X0,X0))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f14,f138])).
% 0.10/0.59 fof(f184,plain,(
% 0.10/0.59 ![X0,X1]: (multiply(X0,multiplicative_identity)=add(X0,multiply(X0,X1)))),
% 0.10/0.59 inference(backward_demodulation,[status(thm)],[f173,f73])).
% 0.10/0.59 fof(f191,plain,(
% 0.10/0.59 ![X0,X1]: (X0=add(X0,multiply(X0,X1)))),
% 0.10/0.59 inference(forward_demodulation,[status(thm)],[f15,f184])).
% 0.10/0.59 fof(f193,plain,(
% 0.10/0.59 ![X0]: (add(X0,X0)=add(X0,multiply(X0,X0)))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f43,f177])).
% 0.10/0.59 fof(f204,plain,(
% 0.10/0.59 ~a=a),
% 0.10/0.59 inference(backward_demodulation,[status(thm)],[f205,f18])).
% 0.10/0.59 fof(f205,plain,(
% 0.10/0.59 ![X0]: (add(X0,X0)=X0)),
% 0.10/0.59 inference(forward_demodulation,[status(thm)],[f191,f193])).
% 0.10/0.59 fof(f210,plain,(
% 0.10/0.59 $false),
% 0.10/0.59 inference(trivial_equality_resolution,[status(thm)],[f204])).
% 0.10/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 4.94/1.84 % Elapsed time: 1.052316 seconds
% 4.94/1.84 % CPU time: 0.061946 seconds
% 4.94/1.84 % Total memory used: 1.590 MB
% 4.94/1.84 % Net memory used: 1.565 MB
%------------------------------------------------------------------------------