%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC364-1 : 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 : n001.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 02:42:16 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC364-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.53 % Computer : n001.cluster.edu
% 0.08/0.53 % Model : x86_64 x86_64
% 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.53 % Memory : 8046.5625MB
% 0.08/0.53 % OS : Linux 6.8.0-71-generic
% 0.08/0.53 % CPULimit : 300
% 0.08/0.53 % WCLimit : 300
% 0.08/0.53 % DateTime : Mon Sep 21 08:24:29 UTC 2026
% 0.08/0.53 % CPUTime :
% 0.08/0.55 % Drodi V4.1.1
% 0.12/0.79 % Refutation found
% 0.12/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.79 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.79 fof(f8,axiom,(
% 0.12/0.79 ssList(nil) ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f73,axiom,(
% 0.12/0.79 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f86,axiom,(
% 0.12/0.79 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f173,axiom,(
% 0.12/0.79 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f186,negated_conjecture,(
% 0.12/0.79 ssList(sk1) ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f189,negated_conjecture,(
% 0.12/0.79 ssList(sk4) ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f190,negated_conjecture,(
% 0.12/0.79 sk2 = sk4 ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f191,negated_conjecture,(
% 0.12/0.79 sk1 = sk3 ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f192,negated_conjecture,(
% 0.12/0.79 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f197,negated_conjecture,(
% 0.12/0.79 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f198,negated_conjecture,(
% 0.12/0.79 ( app(cons(sk5,nil),sk3) = sk4| ~ neq(sk4,nil) ) ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f199,negated_conjecture,(
% 0.12/0.79 ( ~ segmentP(sk2,sk1)| ~ neq(sk4,nil) ) ),
% 0.12/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.79 fof(f207,plain,(
% 0.12/0.79 ssList(nil)),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.79 fof(f273,plain,(
% 0.12/0.79 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f73])).
% 0.12/0.79 fof(f286,plain,(
% 0.12/0.79 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f86])).
% 0.12/0.79 fof(f405,plain,(
% 0.12/0.79 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.12/0.79 inference(miniscoping,[status(thm)],[f173])).
% 0.12/0.79 fof(f406,plain,(
% 0.12/0.79 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f405])).
% 0.12/0.79 fof(f430,plain,(
% 0.12/0.79 ssList(sk1)),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f186])).
% 0.12/0.79 fof(f433,plain,(
% 0.12/0.79 ssList(sk4)),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f189])).
% 0.12/0.79 fof(f434,plain,(
% 0.12/0.79 sk2=sk4),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/0.79 fof(f435,plain,(
% 0.12/0.79 sk1=sk3),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f191])).
% 0.12/0.79 fof(f436,plain,(
% 0.12/0.79 neq(sk2,nil)|neq(sk2,nil)),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/0.79 fof(f441,plain,(
% 0.12/0.79 ssItem(sk5)|~neq(sk4,nil)),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f197])).
% 0.12/0.79 fof(f442,plain,(
% 0.12/0.79 app(cons(sk5,nil),sk3)=sk4|~neq(sk4,nil)),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f198])).
% 0.12/0.79 fof(f443,plain,(
% 0.12/0.79 ~segmentP(sk2,sk1)|~neq(sk4,nil)),
% 0.12/0.79 inference(cnf_transformation,[status(thm)],[f199])).
% 0.12/0.79 fof(f451,definition,(
% 0.12/0.79 sQ2_spl <=> (neq(sk2,nil))),
% 0.12/0.79 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.79 fof(f452,plain,(
% 0.12/0.79 neq(sk2,nil)|~sQ2_spl),
% 0.12/0.79 inference(component_clause,[status(thm)],[f451])).
% 0.12/0.79 fof(f454,plain,(
% 0.12/0.79 sQ2_spl),
% 0.12/0.79 inference(split_clause,[status(thm)],[f436,f451])).
% 0.12/0.79 fof(f455,definition,(
% 0.12/0.79 sQ3_spl <=> (neq(sk4,nil))),
% 0.12/0.79 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.79 fof(f457,plain,(
% 0.12/0.79 ~neq(sk4,nil)|sQ3_spl),
% 0.12/0.79 inference(component_clause,[status(thm)],[f455])).
% 0.12/0.79 fof(f459,definition,(
% 0.12/0.79 sQ4_spl <=> (ssItem(sk5))),
% 0.12/0.79 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.79 fof(f463,definition,(
% 0.12/0.79 sQ5_spl <=> (app(cons(sk5,nil),sk3)=sk4)),
% 0.12/0.79 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.79 fof(f464,plain,(
% 0.12/0.79 app(cons(sk5,nil),sk3)=sk4|~sQ5_spl),
% 0.12/0.79 inference(component_clause,[status(thm)],[f463])).
% 0.12/0.79 fof(f467,definition,(
% 0.12/0.80 sQ6_spl <=> (segmentP(sk2,sk1))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f469,plain,(
% 0.12/0.80 ~segmentP(sk2,sk1)|sQ6_spl),
% 0.12/0.80 inference(component_clause,[status(thm)],[f467])).
% 0.12/0.80 fof(f471,plain,(
% 0.12/0.80 sQ4_spl|~sQ3_spl),
% 0.12/0.80 inference(split_clause,[status(thm)],[f441,f459,f455])).
% 0.12/0.80 fof(f472,plain,(
% 0.12/0.80 sQ5_spl|~sQ3_spl),
% 0.12/0.80 inference(split_clause,[status(thm)],[f442,f463,f455])).
% 0.12/0.80 fof(f473,plain,(
% 0.12/0.80 ~sQ6_spl|~sQ3_spl),
% 0.12/0.80 inference(split_clause,[status(thm)],[f443,f467,f455])).
% 0.12/0.80 fof(f492,plain,(
% 0.12/0.80 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.12/0.80 inference(destructive_equality_resolution,[status(thm)],[f406])).
% 0.12/0.80 fof(f505,plain,(
% 0.12/0.80 neq(sk4,nil)|~sQ2_spl),
% 0.12/0.80 inference(forward_demodulation,[status(thm)],[f434,f452])).
% 0.12/0.80 fof(f506,plain,(
% 0.12/0.80 $false|~sQ2_spl|sQ3_spl),
% 0.12/0.80 inference(forward_subsumption_resolution,[status(thm)],[f457,f505])).
% 0.12/0.80 fof(f507,plain,(
% 0.12/0.80 ~sQ2_spl|sQ3_spl),
% 0.12/0.80 inference(contradiction_clause,[status(thm)],[f506])).
% 0.12/0.80 fof(f508,plain,(
% 0.12/0.80 app(cons(sk5,nil),sk1)=sk4|~sQ5_spl),
% 0.12/0.80 inference(forward_demodulation,[status(thm)],[f435,f464])).
% 0.12/0.80 fof(f509,plain,(
% 0.12/0.80 ~segmentP(sk4,sk1)|sQ6_spl),
% 0.12/0.80 inference(forward_demodulation,[status(thm)],[f434,f469])).
% 0.12/0.80 fof(f512,plain,(
% 0.12/0.80 app(sk4,nil)=sk4),
% 0.12/0.80 inference(resolution,[status(thm)],[f273,f433])).
% 0.12/0.80 fof(f520,definition,(
% 0.12/0.80 sQ7_spl <=> (ssList(nil))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f522,plain,(
% 0.12/0.80 ~ssList(nil)|sQ7_spl),
% 0.12/0.80 inference(component_clause,[status(thm)],[f520])).
% 0.12/0.80 fof(f528,plain,(
% 0.12/0.80 $false|sQ7_spl),
% 0.12/0.80 inference(forward_subsumption_resolution,[status(thm)],[f522,f207])).
% 0.12/0.80 fof(f529,plain,(
% 0.12/0.80 sQ7_spl),
% 0.12/0.80 inference(contradiction_clause,[status(thm)],[f528])).
% 0.12/0.80 fof(f560,definition,(
% 0.12/0.80 sQ10_spl <=> (ssList(sk1))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f562,plain,(
% 0.12/0.80 ~ssList(sk1)|sQ10_spl),
% 0.12/0.80 inference(component_clause,[status(thm)],[f560])).
% 0.12/0.80 fof(f564,definition,(
% 0.12/0.80 sQ11_spl <=> (ssList(sk4))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f566,plain,(
% 0.12/0.80 ~ssList(sk4)|sQ11_spl),
% 0.12/0.80 inference(component_clause,[status(thm)],[f564])).
% 0.12/0.80 fof(f572,definition,(
% 0.12/0.80 sQ12_spl <=> (ssList(cons(sk5,nil)))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f574,plain,(
% 0.12/0.80 ~ssList(cons(sk5,nil))|sQ12_spl),
% 0.12/0.80 inference(component_clause,[status(thm)],[f572])).
% 0.12/0.80 fof(f1176,plain,(
% 0.12/0.80 $false|sQ10_spl),
% 0.12/0.80 inference(forward_subsumption_resolution,[status(thm)],[f562,f430])).
% 0.12/0.80 fof(f1177,plain,(
% 0.12/0.80 sQ10_spl),
% 0.12/0.80 inference(contradiction_clause,[status(thm)],[f1176])).
% 0.12/0.80 fof(f1264,plain,(
% 0.12/0.80 $false|sQ11_spl),
% 0.12/0.80 inference(forward_subsumption_resolution,[status(thm)],[f566,f433])).
% 0.12/0.80 fof(f1265,plain,(
% 0.12/0.80 sQ11_spl),
% 0.12/0.80 inference(contradiction_clause,[status(thm)],[f1264])).
% 0.12/0.80 fof(f1284,plain,(
% 0.12/0.80 ~ssItem(sk5)|~ssList(nil)|sQ12_spl),
% 0.12/0.80 inference(resolution,[status(thm)],[f574,f286])).
% 0.12/0.80 fof(f1285,plain,(
% 0.12/0.80 ~sQ4_spl|~sQ7_spl|sQ12_spl),
% 0.12/0.80 inference(split_clause,[status(thm)],[f1284,f459,f520,f572])).
% 0.12/0.80 fof(f1524,plain,(
% 0.12/0.80 ![X0]: (~ssList(X0)|~ssList(cons(sk5,nil))|~ssList(sk1)|~ssList(app(sk4,X0))|segmentP(app(app(cons(sk5,nil),sk1),X0),sk1)|~sQ5_spl)),
% 0.12/0.80 inference(paramodulation,[status(thm)],[f508,f492])).
% 0.12/0.80 fof(f1547,definition,(
% 0.12/0.80 ![X0]: (sQ46_spl <=> (~ssList(X0)|~ssList(app(sk4,X0))|segmentP(app(app(cons(sk5,nil),sk1),X0),sk1)))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f1548,plain,(
% 0.12/0.80 ![X0]: (~ssList(X0)|~ssList(app(sk4,X0))|segmentP(app(app(cons(sk5,nil),sk1),X0),sk1)|~sQ46_spl)),
% 0.12/0.80 inference(component_clause,[status(thm)],[f1547])).
% 0.12/0.80 fof(f1550,plain,(
% 0.12/0.80 sQ46_spl|~sQ12_spl|~sQ10_spl|~sQ5_spl),
% 0.12/0.80 inference(split_clause,[status(thm)],[f1524,f1547,f572,f560,f463])).
% 0.12/0.80 fof(f1551,plain,(
% 0.12/0.80 ![X0]: (~ssList(X0)|~ssList(app(sk4,X0))|segmentP(app(sk4,X0),sk1)|~sQ5_spl|~sQ46_spl)),
% 0.12/0.80 inference(forward_demodulation,[status(thm)],[f508,f1548])).
% 0.12/0.80 fof(f4730,plain,(
% 0.12/0.80 ~ssList(nil)|~ssList(sk4)|segmentP(app(sk4,nil),sk1)|~sQ5_spl|~sQ46_spl),
% 0.12/0.80 inference(paramodulation,[status(thm)],[f512,f1551])).
% 0.12/0.80 fof(f4735,definition,(
% 0.12/0.80 sQ239_spl <=> (segmentP(app(sk4,nil),sk1))),
% 0.12/0.80 introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition])).
% 0.12/0.80 fof(f4736,plain,(
% 0.12/0.80 segmentP(app(sk4,nil),sk1)|~sQ239_spl),
% 0.12/0.80 inference(component_clause,[status(thm)],[f4735])).
% 0.12/0.80 fof(f4738,plain,(
% 0.12/0.80 ~sQ7_spl|~sQ11_spl|sQ239_spl|~sQ5_spl|~sQ46_spl),
% 0.12/0.80 inference(split_clause,[status(thm)],[f4730,f520,f564,f4735,f463,f1547])).
% 0.12/0.80 fof(f4740,plain,(
% 0.12/0.80 segmentP(sk4,sk1)|~sQ239_spl),
% 0.12/0.80 inference(forward_demodulation,[status(thm)],[f512,f4736])).
% 0.12/0.80 fof(f4741,plain,(
% 0.12/0.80 $false|sQ6_spl|~sQ239_spl),
% 0.12/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4740,f509])).
% 0.12/0.80 fof(f4742,plain,(
% 0.12/0.80 sQ6_spl|~sQ239_spl),
% 0.12/0.80 inference(contradiction_clause,[status(thm)],[f4741])).
% 0.12/0.80 fof(f4743,plain,(
% 0.12/0.80 $false),
% 0.12/0.80 inference(sat_refutation,[status(thm)],[f454,f471,f472,f473,f507,f529,f1177,f1265,f1285,f1550,f4738,f4742])).
% 0.12/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.83 % Elapsed time: 0.287107 seconds
% 0.12/0.83 % CPU time: 1.988146 seconds
% 0.12/0.83 % Total memory used: 141.049 MB
% 0.12/0.83 % Net memory used: 139.364 MB
%------------------------------------------------------------------------------