%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO012-4 : 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 : n014.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 12:06:45 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO012-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:47:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.03/0.38 % Drodi V4.1.1
% 0.03/0.41 % Refutation found
% 0.03/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.41 fof(f1,axiom,(
% 0.03/0.41 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f2,axiom,(
% 0.03/0.41 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f3,axiom,(
% 0.03/0.41 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f4,axiom,(
% 0.03/0.41 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f5,axiom,(
% 0.03/0.41 (![X]: (add(X,additive_identity) = X ))),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f6,axiom,(
% 0.03/0.41 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f7,axiom,(
% 0.03/0.41 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f8,axiom,(
% 0.03/0.41 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f9,negated_conjecture,(
% 0.03/0.41 inverse(inverse(x)) != x ),
% 0.03/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.41 fof(f10,plain,(
% 0.03/0.41 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.41 fof(f11,plain,(
% 0.03/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.41 fof(f12,plain,(
% 0.03/0.41 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.41 fof(f13,plain,(
% 0.03/0.41 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.41 fof(f14,plain,(
% 0.03/0.41 ![X0]: (add(X0,additive_identity)=X0)),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.41 fof(f15,plain,(
% 0.03/0.41 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/0.41 fof(f16,plain,(
% 0.03/0.41 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/0.41 fof(f17,plain,(
% 0.03/0.41 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.03/0.41 fof(f18,plain,(
% 0.03/0.41 ~inverse(inverse(x))=x),
% 0.03/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.03/0.41 fof(f22,plain,(
% 0.03/0.41 ![X0]: (X0=add(additive_identity,X0))),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f14,f10])).
% 0.03/0.41 fof(f30,plain,(
% 0.03/0.41 ![X0]: (X0=multiply(multiplicative_identity,X0))),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.03/0.41 fof(f58,plain,(
% 0.03/0.41 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X2),add(X0,X1)))),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f11,f12])).
% 0.03/0.41 fof(f61,plain,(
% 0.03/0.41 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=multiply(multiplicative_identity,add(X0,X1)))),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.03/0.41 fof(f73,plain,(
% 0.03/0.41 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=add(X0,X1))),
% 0.03/0.41 inference(forward_demodulation,[status(thm)],[f30,f61])).
% 0.03/0.41 fof(f77,plain,(
% 0.03/0.41 ![X0]: (add(X0,additive_identity)=add(X0,inverse(inverse(X0))))),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f17,f73])).
% 0.03/0.41 fof(f78,plain,(
% 0.03/0.41 ![X0]: (add(X0,inverse(X0))=add(X0,multiplicative_identity))),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f15,f73])).
% 0.03/0.41 fof(f88,plain,(
% 0.03/0.41 ![X0]: (X0=add(X0,inverse(inverse(X0))))),
% 0.03/0.41 inference(forward_demodulation,[status(thm)],[f14,f77])).
% 0.03/0.41 fof(f89,plain,(
% 0.03/0.41 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 0.03/0.41 inference(forward_demodulation,[status(thm)],[f16,f78])).
% 0.03/0.41 fof(f100,plain,(
% 0.03/0.41 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=add(additive_identity,multiply(X0,X1)))),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f17,f13])).
% 0.03/0.41 fof(f107,plain,(
% 0.03/0.41 ![X0,X1]: (multiply(X0,add(X1,multiplicative_identity))=add(multiply(X0,X1),X0))),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f15,f13])).
% 0.03/0.41 fof(f115,plain,(
% 0.03/0.41 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=multiply(X0,X1))),
% 0.03/0.41 inference(forward_demodulation,[status(thm)],[f22,f100])).
% 0.03/0.41 fof(f118,plain,(
% 0.03/0.42 ![X0,X1]: (multiply(X0,multiplicative_identity)=add(multiply(X0,X1),X0))),
% 0.03/0.42 inference(forward_demodulation,[status(thm)],[f89,f107])).
% 0.03/0.42 fof(f119,plain,(
% 0.03/0.42 ![X0,X1]: (X0=add(multiply(X0,X1),X0))),
% 0.03/0.42 inference(forward_demodulation,[status(thm)],[f15,f118])).
% 0.03/0.42 fof(f134,plain,(
% 0.03/0.42 ![X0,X1]: (add(X0,multiply(additive_identity,X1))=multiply(add(X0,X1),X0))),
% 0.03/0.42 inference(paramodulation,[status(thm)],[f14,f58])).
% 0.03/0.42 fof(f192,plain,(
% 0.03/0.42 ![X0]: (additive_identity=multiply(additive_identity,X0))),
% 0.03/0.42 inference(paramodulation,[status(thm)],[f14,f119])).
% 0.03/0.42 fof(f210,plain,(
% 0.03/0.42 ![X0,X1]: (add(X0,additive_identity)=multiply(add(X0,X1),X0))),
% 0.03/0.42 inference(backward_demodulation,[status(thm)],[f192,f134])).
% 0.03/0.42 fof(f217,plain,(
% 0.03/0.42 ![X0,X1]: (X0=multiply(add(X0,X1),X0))),
% 0.03/0.42 inference(forward_demodulation,[status(thm)],[f14,f210])).
% 0.03/0.42 fof(f335,plain,(
% 0.03/0.42 ![X0,X1]: (X0=multiply(add(X1,X0),X0))),
% 0.03/0.42 inference(paramodulation,[status(thm)],[f10,f217])).
% 0.03/0.42 fof(f727,plain,(
% 0.03/0.42 ![X0]: (inverse(inverse(X0))=multiply(X0,inverse(inverse(X0))))),
% 0.03/0.42 inference(paramodulation,[status(thm)],[f88,f335])).
% 0.03/0.42 fof(f1664,plain,(
% 0.03/0.42 ![X0]: (multiply(X0,multiplicative_identity)=multiply(X0,inverse(inverse(X0))))),
% 0.03/0.42 inference(paramodulation,[status(thm)],[f16,f115])).
% 0.03/0.42 fof(f1705,plain,(
% 0.03/0.42 ![X0]: (inverse(inverse(X0))=X0)),
% 0.03/0.42 inference(backward_demodulation,[status(thm)],[f1706,f727])).
% 0.03/0.42 fof(f1706,plain,(
% 0.03/0.42 ![X0]: (X0=multiply(X0,inverse(inverse(X0))))),
% 0.03/0.42 inference(forward_demodulation,[status(thm)],[f15,f1664])).
% 0.03/0.42 fof(f1728,plain,(
% 0.03/0.42 ~x=x),
% 0.03/0.42 inference(backward_demodulation,[status(thm)],[f1705,f18])).
% 0.03/0.42 fof(f1741,plain,(
% 0.03/0.42 $false),
% 0.03/0.42 inference(trivial_equality_resolution,[status(thm)],[f1728])).
% 0.03/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 9.44/1.66 % Elapsed time: 1.062585 seconds
% 9.44/1.66 % CPU time: 0.180520 seconds
% 9.44/1.66 % Total memory used: 5.038 MB
% 9.44/1.66 % Net memory used: 4.837 MB
%------------------------------------------------------------------------------