%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN080+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:18:54 PM UTC 2026
% Result : Theorem 0.09s 10.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN080+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.54 % Computer : n013.cluster.edu
% 0.09/10.54 % Model : x86_64 x86_64
% 0.09/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.54 % Memory : 8046.5625MB
% 0.09/10.54 % OS : Linux 6.8.0-71-generic
% 0.09/10.55 % CPULimit : 300
% 0.09/10.55 % WCLimit : 300
% 0.09/10.55 % DateTime : Mon Sep 21 10:42:21 UTC 2026
% 0.09/10.55 % CPUTime :
% 0.09/10.55 % Drodi V4.1.1
% 0.09/10.56 % Refutation found
% 0.09/10.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/10.56 % SZS output start CNFRefutation for theBenchmark
% 0.09/10.56 fof(f1,axiom,(
% 0.09/10.56 (! [X,Y] : f(X) = g(Y) )),
% 0.09/10.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.56 fof(f2,conjecture,(
% 0.09/10.56 (! [X,Y] : f(f(X)) = f(g(Y)) )),
% 0.09/10.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.56 fof(f3,negated_conjecture,(
% 0.09/10.56 ~((! [X,Y] : f(f(X)) = f(g(Y)) ))),
% 0.09/10.56 inference(negated_conjecture,[status(cth)],[f2])).
% 0.09/10.56 fof(f4,plain,(
% 0.09/10.56 ![X0,X1]: (f(X0)=g(X1))),
% 0.09/10.56 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/10.56 fof(f5,plain,(
% 0.09/10.56 (?[X,Y]: ~f(f(X))=f(g(Y)))),
% 0.09/10.56 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/10.56 fof(f6,plain,(
% 0.09/10.56 ~f(f(sK0_skl))=f(g(sK1_skl))),
% 0.09/10.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f5])).
% 0.09/10.56 fof(f7,plain,(
% 0.09/10.56 ~f(f(sK0_skl))=f(g(sK1_skl))),
% 0.09/10.56 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/10.56 fof(f8,definition,(
% 0.09/10.56 sF1_fnc=f(sK0_skl)),
% 0.09/10.56 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/10.56 fof(f9,definition,(
% 0.09/10.56 sF0_fnc=f(sF1_fnc)),
% 0.09/10.56 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/10.56 fof(f10,definition,(
% 0.09/10.56 sF3_fnc=g(sK1_skl)),
% 0.09/10.56 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.09/10.56 fof(f11,definition,(
% 0.09/10.56 sF2_fnc=f(sF3_fnc)),
% 0.09/10.56 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.09/10.56 fof(f12,plain,(
% 0.09/10.56 ~sF0_fnc=sF2_fnc),
% 0.09/10.56 inference(definition_folding,[],[f7,f11,f10,f9,f8])).
% 0.09/10.56 fof(f14,plain,(
% 0.09/10.56 ![X0]: (sF0_fnc=g(X0))),
% 0.09/10.56 inference(paramodulation,[status(thm)],[f9,f4])).
% 0.09/10.56 fof(f18,plain,(
% 0.09/10.56 ![X0]: (sF2_fnc=g(X0))),
% 0.09/10.56 inference(paramodulation,[status(thm)],[f4,f11])).
% 0.09/10.56 fof(f28,plain,(
% 0.09/10.56 sF2_fnc=sF0_fnc),
% 0.09/10.56 inference(forward_demodulation,[status(thm)],[f14,f18])).
% 0.09/10.56 fof(f29,plain,(
% 0.09/10.56 $false),
% 0.09/10.56 inference(forward_subsumption_resolution,[status(thm)],[f28,f12])).
% 0.09/10.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/10.58 % Elapsed time: 0.022953 seconds
% 0.09/10.58 % CPU time: 0.026011 seconds
% 0.09/10.58 % Total memory used: 198.112 KB
% 0.09/10.58 % Net memory used: 188.464 KB
%------------------------------------------------------------------------------