%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA133-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:02:40 PM UTC 2026
% Result : Unsatisfiable 5.23s 6.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA133-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.45 % Computer : n004.cluster.edu
% 0.11/5.45 % Model : x86_64 x86_64
% 0.11/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.45 % Memory : 8046.5625MB
% 0.11/5.45 % OS : Linux 6.8.0-71-generic
% 0.11/5.45 % CPULimit : 300
% 0.11/5.45 % WCLimit : 300
% 0.11/5.45 % DateTime : Mon Sep 21 13:28:28 UTC 2026
% 0.11/5.45 % CPUTime :
% 0.11/5.45 % Drodi V4.1.1
% 5.23/6.21 % Refutation found
% 5.23/6.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.23/6.21 % SZS output start CNFRefutation for theBenchmark
% 5.23/6.21 fof(f1,axiom,(
% 5.23/6.21 (![X,Y]: ('+'(X,Y) = '+'(Y,X) ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f2,axiom,(
% 5.23/6.21 (![X,Y,Z]: ('+'(X,'+'(Y,Z)) = '+'('+'(X,Y),Z) ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f3,axiom,(
% 5.23/6.21 (![X,Y]: (times(X,Y) = times(Y,X) ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f5,axiom,(
% 5.23/6.21 (![X]: ('+'(zero,X) = X ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f7,axiom,(
% 5.23/6.21 (![X]: (times(one,X) = X ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f9,axiom,(
% 5.23/6.21 (![X]: ('+'(X,minus(X)) = zero ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f12,axiom,(
% 5.23/6.21 d(x) = one ),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f13,axiom,(
% 5.23/6.21 (![T,U]: (d('+'(T,U)) = '+'(d(T),d(U)) ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f14,axiom,(
% 5.23/6.21 (![T,U]: (d(times(T,U)) = '+'(times(T,d(U)),times(U,d(T))) ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f15,axiom,(
% 5.23/6.21 (![T]: (d(sin(T)) = times(cos(T),d(T)) ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f16,axiom,(
% 5.23/6.21 (![T]: (d(cos(T)) = minus(times(sin(T),d(T))) ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f17,negated_conjecture,(
% 5.23/6.21 (![T]: (d(T) != times(x,cos(x)) ))),
% 5.23/6.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.23/6.21 fof(f18,plain,(
% 5.23/6.21 ![X0,X1]: ('+'(X0,X1)='+'(X1,X0))),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f1])).
% 5.23/6.21 fof(f19,plain,(
% 5.23/6.21 ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'('+'(X0,X1),X2))),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f2])).
% 5.23/6.21 fof(f20,plain,(
% 5.23/6.21 ![X0,X1]: (times(X0,X1)=times(X1,X0))),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f3])).
% 5.23/6.21 fof(f22,plain,(
% 5.23/6.21 ![X0]: ('+'(zero,X0)=X0)),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f5])).
% 5.23/6.21 fof(f24,plain,(
% 5.23/6.21 ![X0]: (times(one,X0)=X0)),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f7])).
% 5.23/6.21 fof(f26,plain,(
% 5.23/6.21 ![X0]: ('+'(X0,minus(X0))=zero)),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f9])).
% 5.23/6.21 fof(f29,plain,(
% 5.23/6.21 d(x)=one),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f12])).
% 5.23/6.21 fof(f30,plain,(
% 5.23/6.21 ![X0,X1]: (d('+'(X0,X1))='+'(d(X0),d(X1)))),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f13])).
% 5.23/6.21 fof(f31,plain,(
% 5.23/6.21 ![X0,X1]: (d(times(X0,X1))='+'(times(X0,d(X1)),times(X1,d(X0))))),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f14])).
% 5.23/6.21 fof(f32,plain,(
% 5.23/6.21 ![X0]: (d(sin(X0))=times(cos(X0),d(X0)))),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f15])).
% 5.23/6.21 fof(f33,plain,(
% 5.23/6.21 ![X0]: (d(cos(X0))=minus(times(sin(X0),d(X0))))),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f16])).
% 5.23/6.21 fof(f34,plain,(
% 5.23/6.21 ![X0]: (~d(X0)=times(x,cos(x)))),
% 5.23/6.21 inference(cnf_transformation,[status(thm)],[f17])).
% 5.23/6.21 fof(f35,definition,(
% 5.23/6.21 sF1_fnc=cos(x)),
% 5.23/6.21 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 5.23/6.21 fof(f36,definition,(
% 5.23/6.21 sF0_fnc=times(x,sF1_fnc)),
% 5.23/6.21 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 5.23/6.21 fof(f37,plain,(
% 5.23/6.21 ![X0]: (~d(X0)=sF0_fnc)),
% 5.23/6.21 inference(definition_folding,[],[f34,f36,f35])).
% 5.23/6.21 fof(f154,plain,(
% 5.23/6.21 ![X0]: (times(X0,one)=X0)),
% 5.23/6.21 inference(paramodulation,[status(thm)],[f20,f24])).
% 5.23/6.21 fof(f188,plain,(
% 5.23/6.21 ![X0]: (X0='+'(X0,zero))),
% 5.23/6.21 inference(paramodulation,[status(thm)],[f22,f18])).
% 5.23/6.21 fof(f334,plain,(
% 5.23/6.21 ![X0,X1]: ('+'(X0,'+'(minus(X0),X1))='+'(zero,X1))),
% 5.23/6.21 inference(paramodulation,[status(thm)],[f26,f19])).
% 5.23/6.21 fof(f335,plain,(
% 5.23/6.21 ![X0,X1]: ('+'(X0,'+'(minus(X0),X1))=X1)),
% 5.23/6.21 inference(forward_demodulation,[status(thm)],[f22,f334])).
% 5.23/6.21 fof(f388,plain,(
% 5.23/6.21 ![X0,X1]: (d('+'(X0,X1))='+'(d(X1),d(X0)))),
% 5.23/6.21 inference(paramodulation,[status(thm)],[f18,f30])).
% 5.23/6.21 fof(f423,plain,(
% 5.23/6.21 ![X0]: (d(times(x,X0))='+'(times(x,d(X0)),times(X0,one)))),
% 5.23/6.21 inference(paramodulation,[status(thm)],[f29,f31])).
% 5.23/6.21 fof(f460,plain,(
% 5.23/6.21 ![X0]: (d(times(x,X0))='+'(times(x,d(X0)),X0))),
% 5.23/6.21 inference(forward_demodulation,[status(thm)],[f154,f423])).
% 5.23/6.22 fof(f721,plain,(
% 5.23/6.22 ![X0]: ('+'(X0,zero)=minus(minus(X0)))),
% 5.23/6.22 inference(paramodulation,[status(thm)],[f26,f335])).
% 5.23/6.22 fof(f723,plain,(
% 5.23/6.22 ![X0,X1]: ('+'(X0,'+'(X1,minus(X0)))=X1)),
% 5.23/6.22 inference(paramodulation,[status(thm)],[f18,f335])).
% 5.23/6.22 fof(f731,plain,(
% 5.23/6.22 ![X0]: (X0=minus(minus(X0)))),
% 5.23/6.22 inference(forward_demodulation,[status(thm)],[f188,f721])).
% 5.23/6.22 fof(f802,plain,(
% 5.23/6.22 ![X0,X1]: ('+'(minus(X0),'+'(X1,X0))=X1)),
% 5.23/6.22 inference(paramodulation,[status(thm)],[f731,f723])).
% 5.23/6.22 fof(f819,plain,(
% 5.23/6.22 d(sin(x))=times(sF1_fnc,d(x))),
% 5.23/6.22 inference(paramodulation,[status(thm)],[f35,f32])).
% 5.23/6.22 fof(f840,plain,(
% 5.23/6.22 d(sin(x))=times(sF1_fnc,one)),
% 5.23/6.22 inference(forward_demodulation,[status(thm)],[f29,f819])).
% 5.23/6.22 fof(f841,plain,(
% 5.23/6.22 d(sin(x))=sF1_fnc),
% 5.23/6.22 inference(forward_demodulation,[status(thm)],[f154,f840])).
% 5.23/6.22 fof(f854,plain,(
% 5.23/6.22 d(cos(x))=minus(times(sin(x),one))),
% 5.23/6.22 inference(paramodulation,[status(thm)],[f29,f33])).
% 5.23/6.22 fof(f866,plain,(
% 5.23/6.22 d(sF1_fnc)=minus(times(sin(x),one))),
% 5.23/6.22 inference(forward_demodulation,[status(thm)],[f35,f854])).
% 5.23/6.22 fof(f867,plain,(
% 5.23/6.22 d(sF1_fnc)=minus(sin(x))),
% 5.23/6.22 inference(forward_demodulation,[status(thm)],[f154,f866])).
% 5.23/6.22 fof(f1316,plain,(
% 5.23/6.22 ![X0]: ('+'(d(sF1_fnc),'+'(X0,sin(x)))=X0)),
% 5.23/6.22 inference(paramodulation,[status(thm)],[f867,f802])).
% 5.23/6.22 fof(f12510,plain,(
% 5.23/6.22 '+'(d(sF1_fnc),d(times(x,sin(x))))=times(x,d(sin(x)))),
% 5.23/6.22 inference(paramodulation,[status(thm)],[f460,f1316])).
% 5.23/6.22 fof(f12534,plain,(
% 5.23/6.22 d('+'(times(x,sin(x)),sF1_fnc))=times(x,d(sin(x)))),
% 5.23/6.22 inference(forward_demodulation,[status(thm)],[f388,f12510])).
% 5.23/6.22 fof(f12535,plain,(
% 5.23/6.22 d('+'(times(x,sin(x)),sF1_fnc))=times(x,sF1_fnc)),
% 5.23/6.22 inference(forward_demodulation,[status(thm)],[f841,f12534])).
% 5.23/6.22 fof(f12536,plain,(
% 5.23/6.22 d('+'(times(x,sin(x)),sF1_fnc))=sF0_fnc),
% 5.23/6.22 inference(forward_demodulation,[status(thm)],[f36,f12535])).
% 5.23/6.22 fof(f12537,plain,(
% 5.23/6.22 $false),
% 5.23/6.22 inference(forward_subsumption_resolution,[status(thm)],[f12536,f37])).
% 5.23/6.22 % SZS output end CNFRefutation for theBenchmark.p
% 5.23/6.22 % Elapsed time: 0.764228 seconds
% 5.23/6.22 % CPU time: 5.969042 seconds
% 5.23/6.22 % Total memory used: 18.533 MB
% 5.23/6.22 % Net memory used: 17.313 MB
%------------------------------------------------------------------------------