%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO017-2 : 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 : n009.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 12:06:46 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.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 13:48:28 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![X,Y,Z]: (add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,axiom,(
% 0.10/0.41 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,axiom,(
% 0.10/0.41 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,axiom,(
% 0.10/0.41 (![X]: (add(inverse(X),X) = multiplicative_identity ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,axiom,(
% 0.10/0.41 (![X]: (multiply(inverse(X),X) = additive_identity ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f11,axiom,(
% 0.10/0.41 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,axiom,(
% 0.10/0.41 (![X]: (multiply(multiplicative_identity,X) = X ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f14,axiom,(
% 0.10/0.41 (![X]: (add(additive_identity,X) = X ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f15,hypothesis,(
% 0.10/0.41 add(x,y) = z ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f16,negated_conjecture,(
% 0.10/0.41 multiply(x,z) != x ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f18,plain,(
% 0.10/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f19,plain,(
% 0.10/0.41 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X0,X2),add(X1,X2)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f20,plain,(
% 0.10/0.41 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f21,plain,(
% 0.10/0.41 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f24,plain,(
% 0.10/0.41 ![X0]: (add(inverse(X0),X0)=multiplicative_identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f26,plain,(
% 0.10/0.41 ![X0]: (multiply(inverse(X0),X0)=additive_identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f27,plain,(
% 0.10/0.41 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41 fof(f28,plain,(
% 0.10/0.41 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f30,plain,(
% 0.10/0.41 ![X0]: (add(additive_identity,X0)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.41 fof(f31,plain,(
% 0.10/0.41 add(x,y)=z),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.41 fof(f32,plain,(
% 0.10/0.41 ~multiply(x,z)=x),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.41 fof(f33,definition,(
% 0.10/0.41 sF0_fnc=multiply(x,z)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.41 fof(f34,plain,(
% 0.10/0.41 ~sF0_fnc=x),
% 0.10/0.41 inference(definition_folding,[],[f32,f33])).
% 0.10/0.41 fof(f89,plain,(
% 0.10/0.41 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=multiply(multiplicative_identity,add(X1,X0)))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f24,f19])).
% 0.10/0.41 fof(f105,plain,(
% 0.10/0.41 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=add(X1,X0))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f28,f89])).
% 0.10/0.41 fof(f114,plain,(
% 0.10/0.41 ![X0]: (add(additive_identity,X0)=add(X0,X0))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f26,f105])).
% 0.10/0.41 fof(f116,plain,(
% 0.10/0.41 ![X0]: (add(inverse(X0),X0)=add(multiplicative_identity,X0))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f27,f105])).
% 0.10/0.41 fof(f128,plain,(
% 0.10/0.41 ![X0]: (X0=add(X0,X0))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f30,f114])).
% 0.10/0.41 fof(f130,plain,(
% 0.10/0.41 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f24,f116])).
% 0.10/0.41 fof(f189,plain,(
% 0.10/0.41 ![X0,X1]: (add(X0,multiply(X0,X1))=multiply(X0,add(X0,X1)))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f128,f20])).
% 0.10/0.41 fof(f384,plain,(
% 0.10/0.41 ![X0,X1]: (multiply(add(multiplicative_identity,X0),X1)=add(X1,multiply(X0,X1)))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f28,f21])).
% 0.10/0.41 fof(f409,plain,(
% 0.10/0.41 ![X0,X1]: (multiply(multiplicative_identity,X0)=add(X0,multiply(X1,X0)))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f130,f384])).
% 0.10/0.41 fof(f414,plain,(
% 0.10/0.41 ![X0,X1]: (X0=add(X0,multiply(X1,X0)))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f28,f409])).
% 0.10/0.41 fof(f438,plain,(
% 0.10/0.41 ![X0,X1]: (X0=add(X0,multiply(X0,X1)))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f18,f414])).
% 0.10/0.41 fof(f450,plain,(
% 0.10/0.41 ![X0,X1]: (X0=multiply(X0,add(X0,X1)))),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f438,f189])).
% 0.10/0.41 fof(f715,plain,(
% 0.10/0.41 x=multiply(x,z)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f31,f450])).
% 0.10/0.41 fof(f742,plain,(
% 0.10/0.41 sF0_fnc=x),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f715,f33])).
% 0.10/0.41 fof(f752,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f742,f34])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.041669 seconds
% 0.10/0.42 % CPU time: 0.194566 seconds
% 0.10/0.42 % Total memory used: 7.803 MB
% 0.10/0.42 % Net memory used: 7.719 MB
%------------------------------------------------------------------------------