%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 0.15s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n016.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 13:53:23 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.45 fof(f1,axiom,(
% 0.15/0.45 (![X,Y]: (multiply(add(X,Y),Y) = Y ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f2,axiom,(
% 0.15/0.45 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f4,axiom,(
% 0.15/0.45 (![X,Y]: (add(multiply(X,Y),Y) = Y ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f7,negated_conjecture,(
% 0.15/0.45 multiply(b,a) != multiply(a,b) ),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f8,plain,(
% 0.15/0.45 ![X0,X1]: (multiply(add(X0,X1),X1)=X1)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.45 fof(f9,plain,(
% 0.15/0.45 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X1,X0),multiply(X2,X0)))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.45 fof(f11,plain,(
% 0.15/0.45 ![X0,X1]: (add(multiply(X0,X1),X1)=X1)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.45 fof(f14,plain,(
% 0.15/0.45 ~multiply(b,a)=multiply(a,b)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.45 fof(f15,definition,(
% 0.15/0.45 sF0_fnc=multiply(b,a)),
% 0.15/0.45 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.15/0.45 fof(f16,definition,(
% 0.15/0.45 sF1_fnc=multiply(a,b)),
% 0.15/0.45 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.15/0.45 fof(f17,plain,(
% 0.15/0.45 ~sF0_fnc=sF1_fnc),
% 0.15/0.45 inference(definition_folding,[],[f14,f16,f15])).
% 0.15/0.45 fof(f20,plain,(
% 0.15/0.45 ![X0]: (multiply(b,add(a,X0))=add(sF1_fnc,multiply(X0,b)))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f16,f9])).
% 0.15/0.45 fof(f21,plain,(
% 0.15/0.45 ![X0]: (multiply(a,add(b,X0))=add(sF0_fnc,multiply(X0,a)))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f15,f9])).
% 0.15/0.45 fof(f24,plain,(
% 0.15/0.45 ![X0]: (multiply(b,add(X0,a))=add(multiply(X0,b),sF1_fnc))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f16,f9])).
% 0.15/0.45 fof(f29,plain,(
% 0.15/0.45 ![X0,X1]: (multiply(add(X0,a),add(X1,b))=add(multiply(X1,add(X0,a)),add(multiply(X0,b),sF1_fnc)))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f24,f9])).
% 0.15/0.45 fof(f67,plain,(
% 0.15/0.45 multiply(add(a,a),add(b,b))=add(add(sF1_fnc,multiply(a,b)),add(multiply(a,b),sF1_fnc))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f20,f29])).
% 0.15/0.45 fof(f73,plain,(
% 0.15/0.45 multiply(add(a,a),add(b,b))=add(add(sF1_fnc,sF1_fnc),add(multiply(a,b),sF1_fnc))),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f16,f67])).
% 0.15/0.45 fof(f74,plain,(
% 0.15/0.45 multiply(add(a,a),add(b,b))=add(add(sF1_fnc,sF1_fnc),add(sF1_fnc,sF1_fnc))),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f16,f73])).
% 0.15/0.45 fof(f92,plain,(
% 0.15/0.45 ![X0]: (add(X0,X0)=X0)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f8,f11])).
% 0.15/0.45 fof(f115,plain,(
% 0.15/0.45 multiply(add(a,a),add(b,b))=add(add(sF1_fnc,sF1_fnc),sF1_fnc)),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f92,f74])).
% 0.15/0.45 fof(f159,plain,(
% 0.15/0.45 multiply(a,add(b,b))=add(add(sF1_fnc,sF1_fnc),sF1_fnc)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f92,f115])).
% 0.15/0.45 fof(f160,plain,(
% 0.15/0.45 add(sF0_fnc,multiply(b,a))=add(add(sF1_fnc,sF1_fnc),sF1_fnc)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f21,f159])).
% 0.15/0.45 fof(f161,plain,(
% 0.15/0.45 add(sF0_fnc,sF0_fnc)=add(add(sF1_fnc,sF1_fnc),sF1_fnc)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f15,f160])).
% 0.15/0.45 fof(f162,plain,(
% 0.15/0.45 sF0_fnc=add(add(sF1_fnc,sF1_fnc),sF1_fnc)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f92,f161])).
% 0.15/0.45 fof(f163,plain,(
% 0.15/0.45 sF0_fnc=add(sF1_fnc,sF1_fnc)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f92,f162])).
% 0.15/0.45 fof(f164,plain,(
% 0.15/0.45 sF0_fnc=sF1_fnc),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f92,f163])).
% 0.15/0.45 fof(f165,plain,(
% 0.15/0.45 $false),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f164,f17])).
% 0.15/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.48 % Elapsed time: 0.036572 seconds
% 0.15/0.48 % CPU time: 0.031877 seconds
% 0.15/0.48 % Total memory used: 511.216 KB
% 0.15/0.48 % Net memory used: 509.904 KB
%------------------------------------------------------------------------------