%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ROB003-1 : 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 02:06:35 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ROB003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n009.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 04:22:12 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.56 % Refutation found
% 0.18/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.56 fof(f1,axiom,(
% 0.18/0.56 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.18/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56 fof(f2,axiom,(
% 0.18/0.56 (![X,Y,Z]: (add(add(X,Y),Z) = add(X,add(Y,Z)) ))),
% 0.18/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56 fof(f3,axiom,(
% 0.18/0.56 (![X,Y]: (negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X ))),
% 0.18/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56 fof(f4,hypothesis,(
% 0.18/0.56 (![X]: (add(X,c) = c ))),
% 0.18/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56 fof(f5,negated_conjecture,(
% 0.18/0.56 add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b ),
% 0.18/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56 fof(f6,plain,(
% 0.18/0.56 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.56 fof(f7,plain,(
% 0.18/0.56 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X0,add(X1,X2)))),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.56 fof(f8,plain,(
% 0.18/0.56 ![X0,X1]: (negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1)))))=X0)),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.56 fof(f9,plain,(
% 0.18/0.56 ![X0]: (add(X0,c)=c)),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.56 fof(f10,plain,(
% 0.18/0.56 ~add(negate(add(a,negate(b))),negate(add(negate(a),negate(b))))=b),
% 0.18/0.56 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.56 fof(f11,definition,(
% 0.18/0.56 sF3_fnc=negate(b)),
% 0.18/0.56 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.18/0.56 fof(f12,definition,(
% 0.18/0.56 sF2_fnc=add(a,sF3_fnc)),
% 0.18/0.56 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.18/0.56 fof(f13,definition,(
% 0.18/0.56 sF1_fnc=negate(sF2_fnc)),
% 0.18/0.56 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.18/0.56 fof(f14,definition,(
% 0.18/0.56 sF6_fnc=negate(a)),
% 0.18/0.56 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 0.18/0.56 fof(f15,definition,(
% 0.18/0.56 sF5_fnc=add(sF6_fnc,sF3_fnc)),
% 0.18/0.56 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 0.18/0.56 fof(f16,definition,(
% 0.18/0.56 sF4_fnc=negate(sF5_fnc)),
% 0.18/0.56 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 0.18/0.56 fof(f17,definition,(
% 0.18/0.56 sF0_fnc=add(sF1_fnc,sF4_fnc)),
% 0.18/0.56 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.18/0.56 fof(f18,plain,(
% 0.18/0.56 ~sF0_fnc=b),
% 0.18/0.56 inference(definition_folding,[],[f10,f17,f16,f15,f14,f13,f12,f11])).
% 0.18/0.56 fof(f19,plain,(
% 0.18/0.56 sF5_fnc=add(sF3_fnc,sF6_fnc)),
% 0.18/0.56 inference(forward_demodulation,[status(thm)],[f6,f15])).
% 0.18/0.56 fof(f33,plain,(
% 0.18/0.56 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X1,add(X0,X2)))),
% 0.18/0.56 inference(paramodulation,[status(thm)],[f6,f7])).
% 0.18/0.56 fof(f45,plain,(
% 0.18/0.56 ![X0,X1]: (negate(add(negate(add(X0,X1)),negate(add(negate(X1),X0))))=X0)),
% 0.18/0.56 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.18/0.56 fof(f68,plain,(
% 0.18/0.56 ![X0]: (add(c,X0)=c)),
% 0.18/0.56 inference(paramodulation,[status(thm)],[f6,f9])).
% 0.18/0.56 fof(f85,plain,(
% 0.18/0.56 ![X0]: (negate(add(negate(add(c,X0)),negate(c)))=c)),
% 0.18/0.56 inference(paramodulation,[status(thm)],[f68,f8])).
% 0.18/0.56 fof(f90,plain,(
% 0.18/0.56 ![X0]: (negate(add(negate(c),negate(add(c,X0))))=c)),
% 0.18/0.56 inference(forward_demodulation,[status(thm)],[f6,f85])).
% 0.18/0.56 fof(f91,plain,(
% 0.18/0.56 negate(add(negate(c),negate(c)))=c),
% 0.18/0.56 inference(forward_demodulation,[status(thm)],[f68,f90])).
% 0.18/0.56 fof(f152,plain,(
% 0.18/0.56 ![X0]: (negate(add(negate(c),negate(add(negate(c),X0))))=X0)),
% 0.18/0.56 inference(paramodulation,[status(thm)],[f9,f45])).
% 0.18/0.56 fof(f153,plain,(
% 0.18/0.56 ![X0,X1]: (negate(add(negate(add(X0,X1)),negate(add(negate(X0),X1))))=X1)),
% 0.18/0.56 inference(paramodulation,[status(thm)],[f6,f45])).
% 0.18/0.56 fof(f207,plain,(
% 0.18/0.56 negate(add(negate(sF2_fnc),negate(add(negate(a),sF3_fnc))))=sF3_fnc),
% 0.18/0.56 inference(paramodulation,[status(thm)],[f12,f153])).
% 0.18/0.56 fof(f218,plain,(
% 0.18/0.56 ![X0]: (negate(add(negate(add(add(negate(c),negate(c)),X0)),negate(add(c,X0))))=X0)),
% 0.18/0.56 inference(paramodulation,[status(thm)],[f91,f153])).
% 0.18/0.56 fof(f237,plain,(
% 0.18/0.56 negate(add(sF1_fnc,negate(add(negate(a),sF3_fnc))))=sF3_fnc),
% 0.18/0.56 inference(forward_demodulation,[status(thm)],[f13,f207])).
% 0.18/0.56 fof(f238,plain,(
% 0.18/0.56 negate(add(sF1_fnc,negate(add(sF3_fnc,negate(a)))))=sF3_fnc),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f6,f237])).
% 0.18/0.58 fof(f239,plain,(
% 0.18/0.58 negate(add(sF1_fnc,negate(add(sF3_fnc,sF6_fnc))))=sF3_fnc),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f14,f238])).
% 0.18/0.58 fof(f240,plain,(
% 0.18/0.58 negate(add(sF1_fnc,negate(sF5_fnc)))=sF3_fnc),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f19,f239])).
% 0.18/0.58 fof(f241,plain,(
% 0.18/0.58 negate(add(sF1_fnc,sF4_fnc))=sF3_fnc),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f16,f240])).
% 0.18/0.58 fof(f244,plain,(
% 0.18/0.58 negate(sF0_fnc)=sF3_fnc),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f17,f241])).
% 0.18/0.58 fof(f254,plain,(
% 0.18/0.58 ![X0]: (negate(add(negate(add(c,X0)),negate(add(add(negate(c),negate(c)),X0))))=X0)),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f6,f218])).
% 0.18/0.58 fof(f255,plain,(
% 0.18/0.58 ![X0]: (negate(add(negate(c),negate(add(add(negate(c),negate(c)),X0))))=X0)),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f68,f254])).
% 0.18/0.58 fof(f256,plain,(
% 0.18/0.58 ![X0]: (negate(add(negate(c),negate(add(negate(c),add(negate(c),X0)))))=X0)),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f33,f255])).
% 0.18/0.58 fof(f259,plain,(
% 0.18/0.58 ![X0]: (negate(negate(add(negate(c),X0)))=X0)),
% 0.18/0.58 inference(backward_demodulation,[status(thm)],[f261,f152])).
% 0.18/0.58 fof(f261,plain,(
% 0.18/0.58 ![X0]: (add(negate(c),X0)=X0)),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f152,f256])).
% 0.18/0.58 fof(f290,plain,(
% 0.18/0.58 ![X0]: (negate(negate(X0))=X0)),
% 0.18/0.58 inference(forward_demodulation,[status(thm)],[f261,f259])).
% 0.18/0.58 fof(f302,plain,(
% 0.18/0.58 negate(sF3_fnc)=sF0_fnc),
% 0.18/0.58 inference(paramodulation,[status(thm)],[f244,f290])).
% 0.18/0.58 fof(f309,plain,(
% 0.18/0.58 negate(sF3_fnc)=b),
% 0.18/0.58 inference(paramodulation,[status(thm)],[f11,f290])).
% 0.18/0.58 fof(f328,plain,(
% 0.18/0.58 b=sF0_fnc),
% 0.18/0.58 inference(backward_demodulation,[status(thm)],[f309,f302])).
% 0.18/0.58 fof(f345,plain,(
% 0.18/0.58 $false),
% 0.18/0.58 inference(forward_subsumption_resolution,[status(thm)],[f328,f18])).
% 0.18/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.60 % Elapsed time: 0.126420 seconds
% 0.18/0.60 % CPU time: 0.622367 seconds
% 0.18/0.60 % Total memory used: 13.629 MB
% 0.18/0.60 % Net memory used: 13.417 MB
%------------------------------------------------------------------------------