%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWX206-1 : 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 : n007.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 03:13:47 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % Computer : n007.cluster.edu
% 0.18/0.47 % Model : x86_64 x86_64
% 0.18/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47 % Memory : 8046.5625MB
% 0.18/0.47 % OS : Linux 6.8.0-71-generic
% 0.18/0.47 % CPULimit : 300
% 0.18/0.47 % WCLimit : 300
% 0.18/0.47 % DateTime : Mon Sep 21 10:31:20 UTC 2026
% 0.18/0.48 % CPUTime :
% 0.18/0.50 % Drodi V4.1.1
% 0.18/0.52 % Refutation found
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.52 fof(f1,axiom,(
% 0.18/0.52 (![Q]: (impl(btrue,Q) = Q ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f3,axiom,(
% 0.18/0.52 (![Y]: (x2(z,Y) = Y ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f5,axiom,(
% 0.18/0.52 (![X]: (plus_not_idem(X) = impl(eq(x2(X,X),X),eq2(btrue,bfalse)) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f7,axiom,(
% 0.18/0.52 eq2(btrue,bfalse) = bfalse ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f11,axiom,(
% 0.18/0.52 (![X]: (eq(X,X) = btrue ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f12,axiom,(
% 0.18/0.52 (![X]: (eq2(X,X) = btrue ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f13,negated_conjecture,(
% 0.18/0.52 (![X]: (eq2(plus_not_idem(X),bfalse) != btrue ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f14,plain,(
% 0.18/0.52 ![X0]: (impl(btrue,X0)=X0)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.52 fof(f16,plain,(
% 0.18/0.52 ![X0]: (x2(z,X0)=X0)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.52 fof(f18,plain,(
% 0.18/0.52 ![X0]: (plus_not_idem(X0)=impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.52 fof(f20,plain,(
% 0.18/0.52 eq2(btrue,bfalse)=bfalse),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f7])).
% 0.18/0.52 fof(f24,plain,(
% 0.18/0.52 ![X0]: (eq(X0,X0)=btrue)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f11])).
% 0.18/0.52 fof(f25,plain,(
% 0.18/0.52 ![X0]: (eq2(X0,X0)=btrue)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.52 fof(f26,plain,(
% 0.18/0.52 ![X0]: (~eq2(plus_not_idem(X0),bfalse)=btrue)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f13])).
% 0.18/0.52 fof(f27,definition,(
% 0.18/0.52 ![X0]: (sF0_fnc(X0)=eq2(plus_not_idem(X0),bfalse))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.18/0.52 fof(f28,plain,(
% 0.18/0.52 ![X0]: (~sF0_fnc(X0)=btrue)),
% 0.18/0.52 inference(definition_folding,[],[f26,f27])).
% 0.18/0.52 fof(f29,plain,(
% 0.18/0.52 ![X0]: (plus_not_idem(X0)=impl(eq(x2(X0,X0),X0),bfalse))),
% 0.18/0.52 inference(backward_demodulation,[status(thm)],[f20,f18])).
% 0.18/0.52 fof(f30,plain,(
% 0.18/0.52 plus_not_idem(z)=impl(eq(z,z),bfalse)),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f16,f29])).
% 0.18/0.52 fof(f32,plain,(
% 0.18/0.52 plus_not_idem(z)=impl(btrue,bfalse)),
% 0.18/0.52 inference(backward_demodulation,[status(thm)],[f24,f30])).
% 0.18/0.52 fof(f33,plain,(
% 0.18/0.52 plus_not_idem(z)=bfalse),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f14,f32])).
% 0.18/0.52 fof(f34,plain,(
% 0.18/0.52 sF0_fnc(z)=eq2(bfalse,bfalse)),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f33,f27])).
% 0.18/0.52 fof(f35,plain,(
% 0.18/0.52 sF0_fnc(z)=btrue),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f25,f34])).
% 0.18/0.52 fof(f36,plain,(
% 0.18/0.52 $false),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f35,f28])).
% 0.18/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.57 % Elapsed time: 0.067973 seconds
% 0.21/0.57 % CPU time: 0.033251 seconds
% 0.21/0.57 % Total memory used: 209.200 KB
% 0.21/0.57 % Net memory used: 207.904 KB
%------------------------------------------------------------------------------