%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC124-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:41:39 PM UTC 2026
% Result : Unsatisfiable 3.97s 0.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC124-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:58:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 3.97/0.99 % Refutation found
% 3.97/0.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.97/0.99 % SZS output start CNFRefutation for theBenchmark
% 3.97/0.99 fof(f8,axiom,(
% 3.97/0.99 ssList(nil) ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f73,axiom,(
% 3.97/0.99 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f74,axiom,(
% 3.97/0.99 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f85,axiom,(
% 3.97/0.99 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f100,axiom,(
% 3.97/0.99 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f115,axiom,(
% 3.97/0.99 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f173,axiom,(
% 3.97/0.99 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f186,negated_conjecture,(
% 3.97/0.99 ssList(sk1) ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f190,negated_conjecture,(
% 3.97/0.99 sk2 = sk4 ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f191,negated_conjecture,(
% 3.97/0.99 sk1 = sk3 ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f192,negated_conjecture,(
% 3.97/0.99 neq(sk2,nil) ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f193,negated_conjecture,(
% 3.97/0.99 ssList(sk5) ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f194,negated_conjecture,(
% 3.97/0.99 app(sk3,sk5) = sk4 ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f197,negated_conjecture,(
% 3.97/0.99 ( nil = sk4| nil != sk3 ) ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f198,negated_conjecture,(
% 3.97/0.99 ( ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 3.97/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.97/0.99 fof(f206,plain,(
% 3.97/0.99 ssList(nil)),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f8])).
% 3.97/0.99 fof(f272,plain,(
% 3.97/0.99 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f73])).
% 3.97/0.99 fof(f273,plain,(
% 3.97/0.99 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f74])).
% 3.97/0.99 fof(f284,plain,(
% 3.97/0.99 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f85])).
% 3.97/0.99 fof(f301,plain,(
% 3.97/0.99 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f100])).
% 3.97/0.99 fof(f319,plain,(
% 3.97/0.99 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 3.97/0.99 inference(miniscoping,[status(thm)],[f115])).
% 3.97/0.99 fof(f320,plain,(
% 3.97/0.99 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f319])).
% 3.97/0.99 fof(f404,plain,(
% 3.97/0.99 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 3.97/0.99 inference(miniscoping,[status(thm)],[f173])).
% 3.97/0.99 fof(f405,plain,(
% 3.97/0.99 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f404])).
% 3.97/0.99 fof(f429,plain,(
% 3.97/0.99 ssList(sk1)),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f186])).
% 3.97/0.99 fof(f433,plain,(
% 3.97/0.99 sk2=sk4),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f190])).
% 3.97/0.99 fof(f434,plain,(
% 3.97/0.99 sk1=sk3),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f191])).
% 3.97/0.99 fof(f435,plain,(
% 3.97/0.99 neq(sk2,nil)),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f192])).
% 3.97/0.99 fof(f436,plain,(
% 3.97/0.99 ssList(sk5)),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f193])).
% 3.97/0.99 fof(f437,plain,(
% 3.97/0.99 app(sk3,sk5)=sk4),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f194])).
% 3.97/0.99 fof(f441,plain,(
% 3.97/0.99 nil=sk4|~nil=sk3),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f197])).
% 3.97/0.99 fof(f442,plain,(
% 3.97/0.99 ~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 3.97/0.99 inference(cnf_transformation,[status(thm)],[f198])).
% 3.97/0.99 fof(f450,definition,(
% 3.97/0.99 sQ2_spl <=> (nil=sk4)),
% 3.97/0.99 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 3.97/0.99 fof(f451,plain,(
% 3.97/0.99 nil=sk4|~sQ2_spl),
% 3.97/0.99 inference(component_clause,[status(thm)],[f450])).
% 3.97/0.99 fof(f453,definition,(
% 3.97/0.99 sQ3_spl <=> (nil=sk3)),
% 3.97/0.99 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 3.97/0.99 fof(f455,plain,(
% 3.97/0.99 ~nil=sk3|sQ3_spl),
% 3.97/0.99 inference(component_clause,[status(thm)],[f453])).
% 3.97/0.99 fof(f456,plain,(
% 3.97/0.99 sQ2_spl|~sQ3_spl),
% 3.97/0.99 inference(split_clause,[status(thm)],[f441,f450,f453])).
% 3.97/0.99 fof(f457,definition,(
% 3.97/0.99 sQ4_spl <=> (neq(sk1,nil))),
% 3.97/0.99 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 3.97/0.99 fof(f459,plain,(
% 3.97/0.99 ~neq(sk1,nil)|sQ4_spl),
% 3.97/0.99 inference(component_clause,[status(thm)],[f457])).
% 3.97/0.99 fof(f460,definition,(
% 3.97/0.99 sQ5_spl <=> (segmentP(sk2,sk1))),
% 3.97/0.99 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 3.97/0.99 fof(f463,plain,(
% 3.97/0.99 ~sQ4_spl|~sQ5_spl),
% 3.97/0.99 inference(split_clause,[status(thm)],[f442,f457,f460])).
% 3.97/0.99 fof(f471,plain,(
% 3.97/0.99 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 3.97/0.99 inference(destructive_equality_resolution,[status(thm)],[f320])).
% 3.97/0.99 fof(f472,plain,(
% 3.97/0.99 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 3.97/0.99 inference(duplicate_literals_removal,[status(thm)],[f471])).
% 3.97/0.99 fof(f482,plain,(
% 3.97/0.99 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 3.97/0.99 inference(destructive_equality_resolution,[status(thm)],[f405])).
% 3.97/0.99 fof(f494,plain,(
% 3.97/0.99 app(sk3,sk5)=sk2),
% 3.97/0.99 inference(forward_demodulation,[status(thm)],[f433,f437])).
% 3.97/0.99 fof(f500,plain,(
% 3.97/0.99 app(sk5,nil)=sk5),
% 3.97/0.99 inference(resolution,[status(thm)],[f272,f436])).
% 3.97/0.99 fof(f504,plain,(
% 3.97/0.99 app(sk1,nil)=sk1),
% 3.97/0.99 inference(resolution,[status(thm)],[f272,f429])).
% 3.97/0.99 fof(f518,plain,(
% 3.97/0.99 app(sk1,sk5)=sk2),
% 3.97/0.99 inference(backward_demodulation,[status(thm)],[f434,f494])).
% 3.97/0.99 fof(f531,plain,(
% 3.97/0.99 app(nil,sk1)=sk1),
% 3.97/0.99 inference(resolution,[status(thm)],[f273,f429])).
% 3.97/0.99 fof(f540,plain,(
% 3.97/0.99 sk2=nil|~sQ2_spl),
% 3.97/0.99 inference(backward_demodulation,[status(thm)],[f451,f433])).
% 3.97/0.99 fof(f570,plain,(
% 3.97/0.99 ![X0]: (~ssList(X0)|ssList(app(sk5,X0)))),
% 3.97/0.99 inference(resolution,[status(thm)],[f284,f436])).
% 3.97/0.99 fof(f573,plain,(
% 3.97/0.99 ![X0]: (~ssList(X0)|ssList(app(sk1,X0)))),
% 3.97/0.99 inference(resolution,[status(thm)],[f284,f429])).
% 3.97/0.99 fof(f576,definition,(
% 3.97/0.99 sQ6_spl <=> (ssList(nil))),
% 3.97/0.99 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 3.97/0.99 fof(f578,plain,(
% 3.97/0.99 ~ssList(nil)|sQ6_spl),
% 3.97/0.99 inference(component_clause,[status(thm)],[f576])).
% 3.97/0.99 fof(f584,plain,(
% 3.97/0.99 $false|sQ6_spl),
% 3.97/0.99 inference(forward_subsumption_resolution,[status(thm)],[f578,f206])).
% 3.97/0.99 fof(f585,plain,(
% 3.97/0.99 sQ6_spl),
% 3.97/0.99 inference(contradiction_clause,[status(thm)],[f584])).
% 3.97/0.99 fof(f612,plain,(
% 3.97/0.99 ~ssList(nil)|ssList(sk5)),
% 3.97/0.99 inference(paramodulation,[status(thm)],[f500,f570])).
% 3.97/0.99 fof(f613,definition,(
% 3.97/0.99 sQ8_spl <=> (ssList(sk5))),
% 3.97/0.99 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 3.97/0.99 fof(f616,plain,(
% 3.97/0.99 ~sQ6_spl|sQ8_spl),
% 3.97/0.99 inference(split_clause,[status(thm)],[f612,f576,f613])).
% 3.97/0.99 fof(f632,plain,(
% 3.97/0.99 neq(nil,nil)|~sQ2_spl),
% 3.97/0.99 inference(backward_demodulation,[status(thm)],[f540,f435])).
% 3.97/0.99 fof(f636,plain,(
% 3.97/0.99 ~ssList(nil)|~sQ2_spl),
% 3.97/0.99 inference(resolution,[status(thm)],[f632,f472])).
% 3.97/0.99 fof(f637,plain,(
% 3.97/0.99 ~sQ6_spl|~sQ2_spl),
% 3.97/0.99 inference(split_clause,[status(thm)],[f636,f576,f450])).
% 3.97/0.99 fof(f638,plain,(
% 3.97/0.99 ~nil=sk1|sQ3_spl),
% 3.97/0.99 inference(forward_demodulation,[status(thm)],[f434,f455])).
% 3.97/0.99 fof(f648,plain,(
% 3.97/0.99 ~ssList(nil)|~ssList(sk1)|sk1=nil|sQ4_spl),
% 3.97/0.99 inference(resolution,[status(thm)],[f301,f459])).
% 3.97/0.99 fof(f650,definition,(
% 3.97/0.99 sQ10_spl <=> (ssList(sk1))),
% 3.97/0.99 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 3.97/0.99 fof(f653,definition,(
% 3.97/0.99 sQ11_spl <=> (sk1=nil)),
% 3.97/0.99 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 3.97/0.99 fof(f654,plain,(
% 3.97/0.99 sk1=nil|~sQ11_spl),
% 3.97/0.99 inference(component_clause,[status(thm)],[f653])).
% 3.97/0.99 fof(f656,plain,(
% 3.97/0.99 ~sQ6_spl|~sQ10_spl|sQ11_spl|sQ4_spl),
% 3.97/0.99 inference(split_clause,[status(thm)],[f648,f576,f650,f653,f457])).
% 3.97/0.99 fof(f698,plain,(
% 3.97/0.99 ~ssList(nil)|ssList(sk1)),
% 3.97/0.99 inference(paramodulation,[status(thm)],[f504,f573])).
% 3.97/0.99 fof(f700,plain,(
% 3.97/0.99 ~sQ6_spl|sQ10_spl),
% 3.97/0.99 inference(split_clause,[status(thm)],[f698,f576,f650])).
% 3.97/1.00 fof(f1247,plain,(
% 3.97/1.00 $false|sQ3_spl|~sQ11_spl),
% 3.97/1.00 inference(forward_subsumption_resolution,[status(thm)],[f654,f638])).
% 3.97/1.00 fof(f1248,plain,(
% 3.97/1.00 sQ3_spl|~sQ11_spl),
% 3.97/1.00 inference(contradiction_clause,[status(thm)],[f1247])).
% 3.97/1.00 fof(f2250,plain,(
% 3.97/1.00 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 3.97/1.00 inference(paramodulation,[status(thm)],[f531,f482])).
% 3.97/1.00 fof(f2330,definition,(
% 3.97/1.00 ![X0]: (sQ65_spl <=> (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)))),
% 3.97/1.00 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 3.97/1.00 fof(f2331,plain,(
% 3.97/1.00 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~sQ65_spl)),
% 3.97/1.00 inference(component_clause,[status(thm)],[f2330])).
% 3.97/1.00 fof(f2333,plain,(
% 3.97/1.00 sQ65_spl|~sQ6_spl|~sQ10_spl),
% 3.97/1.00 inference(split_clause,[status(thm)],[f2250,f2330,f576,f650])).
% 3.97/1.00 fof(f2358,plain,(
% 3.97/1.00 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~sQ65_spl)),
% 3.97/1.00 inference(forward_demodulation,[status(thm)],[f531,f2331])).
% 3.97/1.00 fof(f2359,plain,(
% 3.97/1.00 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~sQ65_spl)),
% 3.97/1.00 inference(forward_subsumption_resolution,[status(thm)],[f2358,f573])).
% 3.97/1.00 fof(f2813,plain,(
% 3.97/1.00 ~ssList(sk5)|segmentP(sk2,sk1)|~sQ65_spl),
% 3.97/1.00 inference(paramodulation,[status(thm)],[f518,f2359])).
% 3.97/1.00 fof(f2827,plain,(
% 3.97/1.00 ~sQ8_spl|sQ5_spl|~sQ65_spl),
% 3.97/1.00 inference(split_clause,[status(thm)],[f2813,f613,f460,f2330])).
% 3.97/1.00 fof(f2832,plain,(
% 3.97/1.00 $false),
% 3.97/1.00 inference(sat_refutation,[status(thm)],[f456,f463,f585,f616,f637,f656,f700,f1248,f2333,f2827])).
% 3.97/1.00 % SZS output end CNFRefutation for theBenchmark.p
% 0.72/1.01 % Elapsed time: 0.648861 seconds
% 0.72/1.01 % CPU time: 4.819008 seconds
% 0.72/1.01 % Total memory used: 185.844 MB
% 0.72/1.01 % Net memory used: 182.343 MB
%------------------------------------------------------------------------------