%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC347-1 : 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 : 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 02:42:13 PM UTC 2026
% Result : Unsatisfiable 3.91s 0.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC347-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:17:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 3.91/0.97 % Refutation found
% 3.91/0.97 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.91/0.97 % SZS output start CNFRefutation for theBenchmark
% 3.91/0.97 fof(f8,axiom,(
% 3.91/0.97 ssList(nil) ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f73,axiom,(
% 3.91/0.97 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f74,axiom,(
% 3.91/0.97 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f85,axiom,(
% 3.91/0.97 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f173,axiom,(
% 3.91/0.97 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f186,negated_conjecture,(
% 3.91/0.97 ssList(sk1) ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f188,negated_conjecture,(
% 3.91/0.97 ssList(sk3) ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f190,negated_conjecture,(
% 3.91/0.97 sk2 = sk4 ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f191,negated_conjecture,(
% 3.91/0.97 sk1 = sk3 ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f192,negated_conjecture,(
% 3.91/0.97 ssList(sk5) ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f193,negated_conjecture,(
% 3.91/0.97 app(sk3,sk5) = sk4 ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f194,negated_conjecture,(
% 3.91/0.97 strictorderedP(sk3) ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f197,negated_conjecture,(
% 3.91/0.97 ( ~ segmentP(sk2,sk1)| ~ strictorderedP(sk1) ) ),
% 3.91/0.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.97 fof(f205,plain,(
% 3.91/0.97 ssList(nil)),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f8])).
% 3.91/0.97 fof(f271,plain,(
% 3.91/0.97 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f73])).
% 3.91/0.97 fof(f272,plain,(
% 3.91/0.97 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f74])).
% 3.91/0.97 fof(f283,plain,(
% 3.91/0.97 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f85])).
% 3.91/0.97 fof(f403,plain,(
% 3.91/0.97 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 3.91/0.97 inference(miniscoping,[status(thm)],[f173])).
% 3.91/0.97 fof(f404,plain,(
% 3.91/0.97 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f403])).
% 3.91/0.97 fof(f428,plain,(
% 3.91/0.97 ssList(sk1)),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f186])).
% 3.91/0.97 fof(f430,plain,(
% 3.91/0.97 ssList(sk3)),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f188])).
% 3.91/0.97 fof(f432,plain,(
% 3.91/0.97 sk2=sk4),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f190])).
% 3.91/0.97 fof(f433,plain,(
% 3.91/0.97 sk1=sk3),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f191])).
% 3.91/0.97 fof(f434,plain,(
% 3.91/0.97 ssList(sk5)),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f192])).
% 3.91/0.97 fof(f435,plain,(
% 3.91/0.97 app(sk3,sk5)=sk4),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f193])).
% 3.91/0.97 fof(f436,plain,(
% 3.91/0.97 strictorderedP(sk3)),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f194])).
% 3.91/0.97 fof(f440,plain,(
% 3.91/0.97 ~segmentP(sk2,sk1)|~strictorderedP(sk1)),
% 3.91/0.97 inference(cnf_transformation,[status(thm)],[f197])).
% 3.91/0.97 fof(f455,definition,(
% 3.91/0.97 sQ4_spl <=> (segmentP(sk2,sk1))),
% 3.91/0.97 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 3.91/0.97 fof(f458,definition,(
% 3.91/0.97 sQ5_spl <=> (strictorderedP(sk1))),
% 3.91/0.97 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 3.91/0.97 fof(f460,plain,(
% 3.91/0.97 ~strictorderedP(sk1)|sQ5_spl),
% 3.91/0.97 inference(component_clause,[status(thm)],[f458])).
% 3.91/0.97 fof(f461,plain,(
% 3.91/0.97 ~sQ4_spl|~sQ5_spl),
% 3.91/0.97 inference(split_clause,[status(thm)],[f440,f455,f458])).
% 3.91/0.97 fof(f480,plain,(
% 3.91/0.97 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 3.91/0.97 inference(destructive_equality_resolution,[status(thm)],[f404])).
% 3.91/0.97 fof(f491,plain,(
% 3.91/0.97 app(sk3,sk5)=sk2),
% 3.91/0.97 inference(backward_demodulation,[status(thm)],[f432,f435])).
% 3.91/0.97 fof(f498,plain,(
% 3.91/0.97 app(sk5,nil)=sk5),
% 3.91/0.98 inference(resolution,[status(thm)],[f271,f434])).
% 3.91/0.98 fof(f502,plain,(
% 3.91/0.98 app(sk1,nil)=sk1),
% 3.91/0.98 inference(resolution,[status(thm)],[f271,f428])).
% 3.91/0.98 fof(f510,plain,(
% 3.91/0.98 app(nil,sk3)=sk3),
% 3.91/0.98 inference(resolution,[status(thm)],[f272,f430])).
% 3.91/0.98 fof(f527,plain,(
% 3.91/0.98 app(sk1,sk5)=sk2),
% 3.91/0.98 inference(backward_demodulation,[status(thm)],[f433,f491])).
% 3.91/0.98 fof(f528,plain,(
% 3.91/0.98 strictorderedP(sk1)),
% 3.91/0.98 inference(backward_demodulation,[status(thm)],[f433,f436])).
% 3.91/0.98 fof(f533,definition,(
% 3.91/0.98 sQ6_spl <=> (ssList(nil))),
% 3.91/0.98 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 3.91/0.98 fof(f535,plain,(
% 3.91/0.98 ~ssList(nil)|sQ6_spl),
% 3.91/0.98 inference(component_clause,[status(thm)],[f533])).
% 3.91/0.98 fof(f541,plain,(
% 3.91/0.98 $false|sQ6_spl),
% 3.91/0.98 inference(forward_subsumption_resolution,[status(thm)],[f535,f205])).
% 3.91/0.98 fof(f542,plain,(
% 3.91/0.98 sQ6_spl),
% 3.91/0.98 inference(contradiction_clause,[status(thm)],[f541])).
% 3.91/0.98 fof(f543,plain,(
% 3.91/0.98 app(nil,sk1)=sk3),
% 3.91/0.98 inference(forward_demodulation,[status(thm)],[f433,f510])).
% 3.91/0.98 fof(f544,plain,(
% 3.91/0.98 app(nil,sk1)=sk1),
% 3.91/0.98 inference(forward_demodulation,[status(thm)],[f433,f543])).
% 3.91/0.98 fof(f580,plain,(
% 3.91/0.98 ![X0]: (~ssList(X0)|ssList(app(sk5,X0)))),
% 3.91/0.98 inference(resolution,[status(thm)],[f283,f434])).
% 3.91/0.98 fof(f583,plain,(
% 3.91/0.98 ![X0]: (~ssList(X0)|ssList(app(sk1,X0)))),
% 3.91/0.98 inference(resolution,[status(thm)],[f283,f428])).
% 3.91/0.98 fof(f612,plain,(
% 3.91/0.98 ~ssList(nil)|ssList(sk5)),
% 3.91/0.98 inference(paramodulation,[status(thm)],[f498,f580])).
% 3.91/0.98 fof(f613,definition,(
% 3.91/0.98 sQ8_spl <=> (ssList(sk5))),
% 3.91/0.98 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 3.91/0.98 fof(f616,plain,(
% 3.91/0.98 ~sQ6_spl|sQ8_spl),
% 3.91/0.98 inference(split_clause,[status(thm)],[f612,f533,f613])).
% 3.91/0.98 fof(f640,definition,(
% 3.91/0.98 sQ10_spl <=> (ssList(sk1))),
% 3.91/0.98 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 3.91/0.98 fof(f653,plain,(
% 3.91/0.98 ~ssList(nil)|ssList(sk1)),
% 3.91/0.98 inference(paramodulation,[status(thm)],[f502,f583])).
% 3.91/0.98 fof(f655,plain,(
% 3.91/0.98 ~sQ6_spl|sQ10_spl),
% 3.91/0.98 inference(split_clause,[status(thm)],[f653,f533,f640])).
% 3.91/0.98 fof(f2181,plain,(
% 3.91/0.98 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 3.91/0.98 inference(paramodulation,[status(thm)],[f544,f480])).
% 3.91/0.98 fof(f2257,definition,(
% 3.91/0.98 ![X0]: (sQ64_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)))),
% 3.91/0.98 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 3.91/0.98 fof(f2258,plain,(
% 3.91/0.98 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~sQ64_spl)),
% 3.91/0.98 inference(component_clause,[status(thm)],[f2257])).
% 3.91/0.98 fof(f2260,plain,(
% 3.91/0.98 sQ64_spl|~sQ6_spl|~sQ10_spl),
% 3.91/0.98 inference(split_clause,[status(thm)],[f2181,f2257,f533,f640])).
% 3.91/0.98 fof(f2284,plain,(
% 3.91/0.98 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~sQ64_spl)),
% 3.91/0.98 inference(forward_demodulation,[status(thm)],[f544,f2258])).
% 3.91/0.98 fof(f2285,plain,(
% 3.91/0.98 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~sQ64_spl)),
% 3.91/0.98 inference(forward_subsumption_resolution,[status(thm)],[f2284,f583])).
% 3.91/0.98 fof(f2572,plain,(
% 3.91/0.98 ~ssList(sk5)|segmentP(sk2,sk1)|~sQ64_spl),
% 3.91/0.98 inference(paramodulation,[status(thm)],[f527,f2285])).
% 3.91/0.98 fof(f2586,plain,(
% 3.91/0.98 ~sQ8_spl|sQ4_spl|~sQ64_spl),
% 3.91/0.98 inference(split_clause,[status(thm)],[f2572,f613,f455,f2257])).
% 3.91/0.98 fof(f2594,plain,(
% 3.91/0.98 $false|sQ5_spl),
% 3.91/0.98 inference(forward_subsumption_resolution,[status(thm)],[f460,f528])).
% 3.91/0.98 fof(f2595,plain,(
% 3.91/0.98 sQ5_spl),
% 3.91/0.98 inference(contradiction_clause,[status(thm)],[f2594])).
% 3.91/0.98 fof(f2596,plain,(
% 3.91/0.98 $false),
% 3.91/0.98 inference(sat_refutation,[status(thm)],[f461,f542,f616,f655,f2260,f2586,f2595])).
% 3.91/0.98 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/1.01 % Elapsed time: 0.627971 seconds
% 0.25/1.01 % CPU time: 4.684323 seconds
% 0.25/1.01 % Total memory used: 189.035 MB
% 0.25/1.01 % Net memory used: 184.822 MB
%------------------------------------------------------------------------------