%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC068-1 : 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 : n002.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 02:41:29 PM UTC 2026
% Result : Unsatisfiable 1.11s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC068-1 : 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 : n002.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:55:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 1.11/0.68 % Refutation found
% 1.11/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.11/0.68 % SZS output start CNFRefutation for theBenchmark
% 1.11/0.68 fof(f8,axiom,(
% 1.11/0.68 ssList(nil) ),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f57,axiom,(
% 1.11/0.68 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f73,axiom,(
% 1.11/0.68 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f100,axiom,(
% 1.11/0.68 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f118,axiom,(
% 1.11/0.68 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f173,axiom,(
% 1.11/0.68 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f186,negated_conjecture,(
% 1.11/0.68 ssList(sk1) ),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f187,negated_conjecture,(
% 1.11/0.68 ssList(sk2) ),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f188,negated_conjecture,(
% 1.11/0.68 ssList(sk3) ),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f190,negated_conjecture,(
% 1.11/0.68 app(sk4,sk4) = sk3 ),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f191,negated_conjecture,(
% 1.11/0.68 sk2 = sk4 ),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f192,negated_conjecture,(
% 1.11/0.68 sk1 = sk3 ),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f193,negated_conjecture,(
% 1.11/0.68 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f194,negated_conjecture,(
% 1.11/0.68 ( nil != sk2| nil != sk1 ) ),
% 1.11/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.11/0.68 fof(f202,plain,(
% 1.11/0.68 ssList(nil)),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f8])).
% 1.11/0.68 fof(f251,plain,(
% 1.11/0.68 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f57])).
% 1.11/0.68 fof(f268,plain,(
% 1.11/0.68 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f73])).
% 1.11/0.68 fof(f297,plain,(
% 1.11/0.68 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f100])).
% 1.11/0.68 fof(f321,plain,(
% 1.11/0.68 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 1.11/0.68 inference(miniscoping,[status(thm)],[f118])).
% 1.11/0.68 fof(f322,plain,(
% 1.11/0.68 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f321])).
% 1.11/0.68 fof(f400,plain,(
% 1.11/0.68 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 1.11/0.68 inference(miniscoping,[status(thm)],[f173])).
% 1.11/0.68 fof(f401,plain,(
% 1.11/0.68 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f400])).
% 1.11/0.68 fof(f425,plain,(
% 1.11/0.68 ssList(sk1)),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f186])).
% 1.11/0.68 fof(f426,plain,(
% 1.11/0.68 ssList(sk2)),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f187])).
% 1.11/0.68 fof(f427,plain,(
% 1.11/0.68 ssList(sk3)),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f188])).
% 1.11/0.68 fof(f429,plain,(
% 1.11/0.68 app(sk4,sk4)=sk3),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f190])).
% 1.11/0.68 fof(f430,plain,(
% 1.11/0.68 sk2=sk4),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f191])).
% 1.11/0.68 fof(f431,plain,(
% 1.11/0.68 sk1=sk3),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f192])).
% 1.11/0.68 fof(f432,plain,(
% 1.11/0.68 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f193])).
% 1.11/0.68 fof(f433,plain,(
% 1.11/0.68 ~nil=sk2|~nil=sk1),
% 1.11/0.68 inference(cnf_transformation,[status(thm)],[f194])).
% 1.11/0.68 fof(f452,plain,(
% 1.11/0.68 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 1.11/0.68 inference(destructive_equality_resolution,[status(thm)],[f401])).
% 1.11/0.68 fof(f464,plain,(
% 1.11/0.68 app(nil,nil)=nil),
% 1.11/0.68 inference(resolution,[status(thm)],[f268,f202])).
% 1.11/0.68 fof(f465,plain,(
% 1.11/0.68 app(sk3,nil)=sk3),
% 1.11/0.68 inference(resolution,[status(thm)],[f268,f427])).
% 1.11/0.69 fof(f474,plain,(
% 1.11/0.69 app(sk2,sk4)=sk3),
% 1.11/0.69 inference(forward_demodulation,[status(thm)],[f430,f429])).
% 1.11/0.69 fof(f475,plain,(
% 1.11/0.69 app(sk2,sk2)=sk3),
% 1.11/0.69 inference(forward_demodulation,[status(thm)],[f430,f474])).
% 1.11/0.69 fof(f476,plain,(
% 1.11/0.69 app(sk2,sk2)=sk1),
% 1.11/0.69 inference(backward_demodulation,[status(thm)],[f431,f475])).
% 1.11/0.69 fof(f501,plain,(
% 1.11/0.69 ![X0]: (~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 1.11/0.69 inference(resolution,[status(thm)],[f297,f432])).
% 1.11/0.69 fof(f504,plain,(
% 1.11/0.69 ![X0]: (~ssList(nil)|~ssList(X0)|X0=nil|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 1.11/0.69 inference(duplicate_literals_removal,[status(thm)],[f501])).
% 1.11/0.69 fof(f505,plain,(
% 1.11/0.69 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 1.11/0.69 inference(forward_subsumption_resolution,[status(thm)],[f504,f202])).
% 1.11/0.69 fof(f515,plain,(
% 1.11/0.69 ![X0]: (~app(X0,sk2)=nil|~ssList(X0)|nil=X0)),
% 1.11/0.69 inference(resolution,[status(thm)],[f322,f426])).
% 1.11/0.69 fof(f552,plain,(
% 1.11/0.69 app(sk1,nil)=sk3),
% 1.11/0.69 inference(forward_demodulation,[status(thm)],[f431,f465])).
% 1.11/0.69 fof(f553,plain,(
% 1.11/0.69 app(sk1,nil)=sk1),
% 1.11/0.69 inference(forward_demodulation,[status(thm)],[f431,f552])).
% 1.11/0.69 fof(f854,plain,(
% 1.11/0.69 ~sk1=nil|~ssList(sk2)|nil=sk2),
% 1.11/0.69 inference(paramodulation,[status(thm)],[f476,f515])).
% 1.11/0.69 fof(f855,plain,(
% 1.11/0.69 ~sk1=nil|nil=sk2),
% 1.11/0.69 inference(forward_subsumption_resolution,[status(thm)],[f854,f426])).
% 1.11/0.69 fof(f858,plain,(
% 1.11/0.69 ~ssList(sk2)|sk2=nil|~segmentP(sk1,sk2)|~ssList(sk2)),
% 1.11/0.69 inference(resolution,[status(thm)],[f505,f251])).
% 1.11/0.69 fof(f861,plain,(
% 1.11/0.69 ~ssList(sk2)|sk2=nil|~segmentP(sk1,sk2)),
% 1.11/0.69 inference(duplicate_literals_removal,[status(thm)],[f858])).
% 1.11/0.69 fof(f862,plain,(
% 1.11/0.69 sk2=nil|~segmentP(sk1,sk2)),
% 1.11/0.69 inference(forward_subsumption_resolution,[status(thm)],[f861,f426])).
% 1.11/0.69 fof(f863,plain,(
% 1.11/0.69 ~sk1=nil),
% 1.11/0.69 inference(forward_subsumption_resolution,[status(thm)],[f855,f433])).
% 1.11/0.69 fof(f879,plain,(
% 1.11/0.69 ![X0]: (~ssList(X0)|~ssList(sk2)|~ssList(sk2)|~ssList(app(sk1,X0))|segmentP(app(app(sk2,sk2),X0),sk2))),
% 1.11/0.69 inference(paramodulation,[status(thm)],[f476,f452])).
% 1.11/0.69 fof(f892,plain,(
% 1.11/0.69 ![X0]: (~ssList(X0)|~ssList(sk2)|~ssList(sk2)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk2))),
% 1.11/0.69 inference(forward_demodulation,[status(thm)],[f476,f879])).
% 1.11/0.69 fof(f893,plain,(
% 1.11/0.69 ![X0]: (~ssList(X0)|~ssList(sk2)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk2))),
% 1.11/0.69 inference(duplicate_literals_removal,[status(thm)],[f892])).
% 1.11/0.69 fof(f894,plain,(
% 1.11/0.69 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk2))),
% 1.11/0.69 inference(forward_subsumption_resolution,[status(thm)],[f893,f426])).
% 1.11/0.69 fof(f2532,plain,(
% 1.11/0.69 ~ssList(nil)|~ssList(sk1)|segmentP(app(sk1,nil),sk2)),
% 1.11/0.69 inference(paramodulation,[status(thm)],[f553,f894])).
% 1.11/0.69 fof(f2535,plain,(
% 1.11/0.69 ~ssList(nil)|~ssList(sk1)|segmentP(sk1,sk2)),
% 1.11/0.69 inference(forward_demodulation,[status(thm)],[f553,f2532])).
% 1.11/0.69 fof(f2536,plain,(
% 1.11/0.69 ~ssList(sk1)|segmentP(sk1,sk2)),
% 1.11/0.69 inference(forward_subsumption_resolution,[status(thm)],[f2535,f202])).
% 1.11/0.69 fof(f4605,plain,(
% 1.11/0.69 sk2=nil),
% 1.11/0.69 inference(backward_subsumption_resolution,[status(thm)],[f862,f4606])).
% 1.11/0.69 fof(f4606,plain,(
% 1.11/0.69 segmentP(sk1,sk2)),
% 1.11/0.69 inference(forward_subsumption_resolution,[status(thm)],[f2536,f425])).
% 1.11/0.69 fof(f4652,plain,(
% 1.11/0.69 app(sk2,nil)=sk1),
% 1.11/0.69 inference(backward_demodulation,[status(thm)],[f4605,f476])).
% 1.11/0.69 fof(f4695,plain,(
% 1.11/0.69 app(nil,nil)=sk1),
% 1.11/0.69 inference(forward_demodulation,[status(thm)],[f4605,f4652])).
% 1.11/0.69 fof(f4696,plain,(
% 1.11/0.69 nil=sk1),
% 1.11/0.69 inference(forward_demodulation,[status(thm)],[f464,f4695])).
% 1.11/0.69 fof(f4697,plain,(
% 1.11/0.69 $false),
% 1.11/0.69 inference(forward_subsumption_resolution,[status(thm)],[f4696,f863])).
% 1.11/0.69 % SZS output end CNFRefutation for theBenchmark.p
% 1.11/0.70 % Elapsed time: 0.337729 seconds
% 1.11/0.70 % CPU time: 2.273545 seconds
% 1.11/0.70 % Total memory used: 153.507 MB
% 1.11/0.70 % Net memory used: 151.200 MB
%------------------------------------------------------------------------------