%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 03:13:51 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n002.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 10:39:48 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.47 fof(f7,axiom,(
% 0.17/0.47 f(nil) = btrue ),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f9,axiom,(
% 0.17/0.47 (![X]: (prop1(X) = eq(f(X),bfalse) ))),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f11,axiom,(
% 0.17/0.47 eq(btrue,bfalse) = bfalse ),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f12,axiom,(
% 0.17/0.47 (![X]: (eq(X,X) = btrue ))),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f13,negated_conjecture,(
% 0.17/0.47 (![X]: (eq(prop1(X),bfalse) != btrue ))),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f20,plain,(
% 0.17/0.47 f(nil)=btrue),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.47 fof(f22,plain,(
% 0.17/0.47 ![X0]: (prop1(X0)=eq(f(X0),bfalse))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.47 fof(f24,plain,(
% 0.17/0.47 eq(btrue,bfalse)=bfalse),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/0.47 fof(f25,plain,(
% 0.17/0.47 ![X0]: (eq(X0,X0)=btrue)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/0.47 fof(f26,plain,(
% 0.17/0.47 ![X0]: (~eq(prop1(X0),bfalse)=btrue)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.47 fof(f27,definition,(
% 0.17/0.47 ![X0]: (sF0_fnc(X0)=eq(prop1(X0),bfalse))),
% 0.17/0.47 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.17/0.47 fof(f28,plain,(
% 0.17/0.47 ![X0]: (~sF0_fnc(X0)=btrue)),
% 0.17/0.47 inference(definition_folding,[],[f26,f27])).
% 0.17/0.47 fof(f29,plain,(
% 0.17/0.47 prop1(nil)=eq(btrue,bfalse)),
% 0.17/0.47 inference(paramodulation,[status(thm)],[f20,f22])).
% 0.17/0.47 fof(f30,plain,(
% 0.17/0.47 prop1(nil)=bfalse),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f24,f29])).
% 0.17/0.47 fof(f31,plain,(
% 0.17/0.47 sF0_fnc(nil)=eq(bfalse,bfalse)),
% 0.17/0.47 inference(paramodulation,[status(thm)],[f30,f27])).
% 0.17/0.47 fof(f32,plain,(
% 0.17/0.47 sF0_fnc(nil)=btrue),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f25,f31])).
% 0.17/0.47 fof(f33,plain,(
% 0.17/0.47 $false),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f32,f28])).
% 0.17/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.52 % Elapsed time: 0.053375 seconds
% 0.17/0.52 % CPU time: 0.033571 seconds
% 0.17/0.52 % Total memory used: 202.240 KB
% 0.17/0.52 % Net memory used: 195.872 KB
%------------------------------------------------------------------------------