%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC039-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:41:24 PM UTC 2026
% Result : Unsatisfiable 0.20s 5.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.42 % Computer : n005.cluster.edu
% 0.16/5.42 % Model : x86_64 x86_64
% 0.16/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.42 % Memory : 8046.5625MB
% 0.16/5.42 % OS : Linux 6.8.0-71-generic
% 0.16/5.42 % CPULimit : 300
% 0.16/5.42 % WCLimit : 300
% 0.16/5.42 % DateTime : Mon Sep 21 07:50:38 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.45 % Drodi V4.1.1
% 0.20/5.57 % Refutation found
% 0.20/5.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/5.57 % SZS output start CNFRefutation for theBenchmark
% 0.20/5.57 fof(f85,axiom,(
% 0.20/5.57 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f118,axiom,(
% 0.20/5.57 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f119,axiom,(
% 0.20/5.57 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f188,negated_conjecture,(
% 0.20/5.57 ssList(sk3) ),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f190,negated_conjecture,(
% 0.20/5.57 nil = sk2 ),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f191,negated_conjecture,(
% 0.20/5.57 sk2 = sk4 ),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f192,negated_conjecture,(
% 0.20/5.57 sk1 = sk3 ),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f193,negated_conjecture,(
% 0.20/5.57 nil != sk1 ),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f202,negated_conjecture,(
% 0.20/5.57 ( ssList(sk6)| nil = sk3 ) ),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f203,negated_conjecture,(
% 0.20/5.57 ( ssList(sk7)| nil = sk3 ) ),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f205,negated_conjecture,(
% 0.20/5.57 ( app(app(sk6,sk3),sk7) = sk4| nil = sk3 ) ),
% 0.20/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.57 fof(f293,plain,(
% 0.20/5.57 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f85])).
% 0.20/5.57 fof(f334,plain,(
% 0.20/5.57 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.20/5.57 inference(miniscoping,[status(thm)],[f118])).
% 0.20/5.57 fof(f335,plain,(
% 0.20/5.57 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f334])).
% 0.20/5.57 fof(f336,plain,(
% 0.20/5.57 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.20/5.57 inference(miniscoping,[status(thm)],[f119])).
% 0.20/5.57 fof(f337,plain,(
% 0.20/5.57 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f336])).
% 0.20/5.57 fof(f440,plain,(
% 0.20/5.57 ssList(sk3)),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f188])).
% 0.20/5.57 fof(f442,plain,(
% 0.20/5.57 nil=sk2),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f190])).
% 0.20/5.57 fof(f443,plain,(
% 0.20/5.57 sk2=sk4),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f191])).
% 0.20/5.57 fof(f444,plain,(
% 0.20/5.57 sk1=sk3),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f192])).
% 0.20/5.57 fof(f445,plain,(
% 0.20/5.57 ~nil=sk1),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f193])).
% 0.20/5.57 fof(f456,plain,(
% 0.20/5.57 ssList(sk6)|nil=sk3),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f202])).
% 0.20/5.57 fof(f457,plain,(
% 0.20/5.57 ssList(sk7)|nil=sk3),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f203])).
% 0.20/5.57 fof(f459,plain,(
% 0.20/5.57 app(app(sk6,sk3),sk7)=sk4|nil=sk3),
% 0.20/5.57 inference(cnf_transformation,[status(thm)],[f205])).
% 0.20/5.57 fof(f478,definition,(
% 0.20/5.57 sQ4_spl <=> (nil=sk3)),
% 0.20/5.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.20/5.57 fof(f479,plain,(
% 0.20/5.57 nil=sk3|~sQ4_spl),
% 0.20/5.58 inference(component_clause,[status(thm)],[f478])).
% 0.20/5.58 fof(f482,definition,(
% 0.20/5.58 sQ5_spl <=> (ssList(sk6))),
% 0.20/5.58 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.20/5.58 fof(f483,plain,(
% 0.20/5.58 ssList(sk6)|~sQ5_spl),
% 0.20/5.58 inference(component_clause,[status(thm)],[f482])).
% 0.20/5.58 fof(f486,definition,(
% 0.20/5.58 sQ6_spl <=> (ssList(sk7))),
% 0.20/5.58 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.20/5.58 fof(f494,definition,(
% 0.20/5.58 sQ8_spl <=> (app(app(sk6,sk3),sk7)=sk4)),
% 0.20/5.58 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.20/5.58 fof(f495,plain,(
% 0.20/5.58 app(app(sk6,sk3),sk7)=sk4|~sQ8_spl),
% 0.20/5.58 inference(component_clause,[status(thm)],[f494])).
% 0.20/5.58 fof(f506,plain,(
% 0.20/5.58 sQ5_spl|sQ4_spl),
% 0.20/5.58 inference(split_clause,[status(thm)],[f456,f482,f478])).
% 0.20/5.58 fof(f507,plain,(
% 0.20/5.58 sQ6_spl|sQ4_spl),
% 0.20/5.58 inference(split_clause,[status(thm)],[f457,f486,f478])).
% 0.20/5.58 fof(f509,plain,(
% 0.20/5.58 sQ8_spl|sQ4_spl),
% 0.20/5.58 inference(split_clause,[status(thm)],[f459,f494,f478])).
% 0.20/5.58 fof(f524,plain,(
% 0.20/5.58 nil=sk4),
% 0.20/5.58 inference(forward_demodulation,[status(thm)],[f442,f443])).
% 0.20/5.58 fof(f526,plain,(
% 0.20/5.58 ~nil=sk3),
% 0.20/5.58 inference(forward_demodulation,[status(thm)],[f444,f445])).
% 0.20/5.58 fof(f527,plain,(
% 0.20/5.58 $false|~sQ4_spl),
% 0.20/5.58 inference(forward_subsumption_resolution,[status(thm)],[f479,f526])).
% 0.20/5.58 fof(f528,plain,(
% 0.20/5.58 ~sQ4_spl),
% 0.20/5.58 inference(contradiction_clause,[status(thm)],[f527])).
% 0.20/5.58 fof(f529,plain,(
% 0.20/5.58 app(app(sk6,sk3),sk7)=nil|~sQ8_spl),
% 0.20/5.58 inference(forward_demodulation,[status(thm)],[f524,f495])).
% 0.20/5.58 fof(f559,plain,(
% 0.20/5.58 ![X0]: (~ssList(X0)|ssList(app(X0,sk3)))),
% 0.20/5.58 inference(resolution,[status(thm)],[f293,f440])).
% 0.20/5.58 fof(f952,plain,(
% 0.20/5.58 ~ssList(sk7)|~ssList(app(sk6,sk3))|nil=app(sk6,sk3)|~sQ8_spl),
% 0.20/5.58 inference(resolution,[status(thm)],[f335,f529])).
% 0.20/5.58 fof(f972,definition,(
% 0.20/5.58 sQ12_spl <=> (ssList(app(sk6,sk3)))),
% 0.20/5.58 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.20/5.58 fof(f974,plain,(
% 0.20/5.58 ~ssList(app(sk6,sk3))|sQ12_spl),
% 0.20/5.58 inference(component_clause,[status(thm)],[f972])).
% 0.20/5.58 fof(f975,definition,(
% 0.20/5.58 sQ13_spl <=> (nil=app(sk6,sk3))),
% 0.20/5.58 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.20/5.58 fof(f976,plain,(
% 0.20/5.58 nil=app(sk6,sk3)|~sQ13_spl),
% 0.20/5.58 inference(component_clause,[status(thm)],[f975])).
% 0.20/5.58 fof(f978,plain,(
% 0.20/5.58 ~sQ6_spl|~sQ12_spl|sQ13_spl|~sQ8_spl),
% 0.20/5.58 inference(split_clause,[status(thm)],[f952,f486,f972,f975,f494])).
% 0.20/5.58 fof(f1025,definition,(
% 0.20/5.58 sQ25_spl <=> (ssList(sk3))),
% 0.20/5.58 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.20/5.58 fof(f1027,plain,(
% 0.20/5.58 ~ssList(sk3)|sQ25_spl),
% 0.20/5.58 inference(component_clause,[status(thm)],[f1025])).
% 0.20/5.58 fof(f1550,plain,(
% 0.20/5.58 ssList(app(sk6,sk3))|~sQ5_spl),
% 0.20/5.58 inference(resolution,[status(thm)],[f559,f483])).
% 0.20/5.58 fof(f1553,plain,(
% 0.20/5.58 $false|sQ12_spl|~sQ5_spl),
% 0.20/5.58 inference(forward_subsumption_resolution,[status(thm)],[f1550,f974])).
% 0.20/5.58 fof(f1554,plain,(
% 0.20/5.58 sQ12_spl|~sQ5_spl),
% 0.20/5.58 inference(contradiction_clause,[status(thm)],[f1553])).
% 0.20/5.58 fof(f1634,plain,(
% 0.20/5.58 ~ssList(sk3)|~ssList(sk6)|nil=sk3|~sQ13_spl),
% 0.20/5.58 inference(resolution,[status(thm)],[f976,f337])).
% 0.20/5.58 fof(f1638,plain,(
% 0.20/5.58 ~sQ25_spl|~sQ5_spl|sQ4_spl|~sQ13_spl),
% 0.20/5.58 inference(split_clause,[status(thm)],[f1634,f1025,f482,f478,f975])).
% 0.20/5.58 fof(f1642,plain,(
% 0.20/5.58 $false|sQ25_spl),
% 0.20/5.58 inference(forward_subsumption_resolution,[status(thm)],[f1027,f440])).
% 0.20/5.58 fof(f1643,plain,(
% 0.20/5.58 sQ25_spl),
% 0.20/5.58 inference(contradiction_clause,[status(thm)],[f1642])).
% 0.20/5.58 fof(f1644,plain,(
% 0.20/5.58 $false),
% 0.20/5.58 inference(sat_refutation,[status(thm)],[f506,f507,f509,f528,f978,f1554,f1638,f1643])).
% 0.20/5.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/5.60 % Elapsed time: 0.158042 seconds
% 0.20/5.60 % CPU time: 0.932572 seconds
% 0.20/5.60 % Total memory used: 122.670 MB
% 0.20/5.60 % Net memory used: 121.904 MB
%------------------------------------------------------------------------------