%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC252-1 : 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 : n026.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 02:41:58 PM UTC 2026
% Result : Unsatisfiable 16.36s 2.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC252-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n026.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 08:11:37 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.51 % Drodi V4.1.1
% 16.36/2.70 % Refutation found
% 16.36/2.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.36/2.70 % SZS output start CNFRefutation for theBenchmark
% 16.36/2.70 fof(f8,axiom,(
% 16.36/2.70 ssList(nil) ),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f73,axiom,(
% 16.36/2.70 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f74,axiom,(
% 16.36/2.70 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f103,axiom,(
% 16.36/2.70 (![U,V]: (( ~ lt(U,V)| ~ ssItem(V)| ~ ssItem(U)| leq(U,V) ) ))),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f186,negated_conjecture,(
% 16.36/2.70 ssList(sk1) ),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f191,negated_conjecture,(
% 16.36/2.70 sk1 = sk3 ),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f192,negated_conjecture,(
% 16.36/2.70 nil != sk1 ),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f193,negated_conjecture,(
% 16.36/2.70 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ssItem(sk5(C,B,A)) ) ))),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f196,negated_conjecture,(
% 16.36/2.70 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| lt(A,sk5(C,B,A)) ) ))),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f197,negated_conjecture,(
% 16.36/2.70 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ~ leq(A,sk5(C,B,A)) ) ))),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f199,negated_conjecture,(
% 16.36/2.70 ( ssItem(sk6)| nil = sk3 ) ),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f202,negated_conjecture,(
% 16.36/2.70 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 16.36/2.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.36/2.70 fof(f211,plain,(
% 16.36/2.70 ssList(nil)),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f8])).
% 16.36/2.70 fof(f277,plain,(
% 16.36/2.70 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f73])).
% 16.36/2.70 fof(f278,plain,(
% 16.36/2.70 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f74])).
% 16.36/2.70 fof(f309,plain,(
% 16.36/2.70 ![X0,X1]: (~lt(X0,X1)|~ssItem(X1)|~ssItem(X0)|leq(X0,X1))),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f103])).
% 16.36/2.70 fof(f434,plain,(
% 16.36/2.70 ssList(sk1)),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f186])).
% 16.36/2.70 fof(f439,plain,(
% 16.36/2.70 sk1=sk3),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f191])).
% 16.36/2.70 fof(f440,plain,(
% 16.36/2.70 ~nil=sk1),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f192])).
% 16.36/2.70 fof(f441,plain,(
% 16.36/2.70 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|ssItem(sk5(X2,X1,X0)))),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f193])).
% 16.36/2.70 fof(f444,plain,(
% 16.36/2.70 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|lt(X0,sk5(X2,X1,X0)))),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f196])).
% 16.36/2.70 fof(f445,plain,(
% 16.36/2.70 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~leq(X0,sk5(X2,X1,X0)))),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f197])).
% 16.36/2.70 fof(f447,plain,(
% 16.36/2.70 ssItem(sk6)|nil=sk3),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f199])).
% 16.36/2.70 fof(f450,plain,(
% 16.36/2.70 cons(sk6,nil)=sk3|nil=sk3),
% 16.36/2.70 inference(cnf_transformation,[status(thm)],[f202])).
% 16.36/2.70 fof(f486,plain,(
% 16.36/2.70 ssItem(sk6)|nil=sk1),
% 16.36/2.70 inference(forward_demodulation,[status(thm)],[f439,f447])).
% 16.36/2.70 fof(f487,plain,(
% 16.36/2.70 ssItem(sk6)),
% 16.36/2.70 inference(forward_subsumption_resolution,[status(thm)],[f486,f440])).
% 16.36/2.70 fof(f492,plain,(
% 16.36/2.70 cons(sk6,nil)=sk1|nil=sk3),
% 16.36/2.70 inference(forward_demodulation,[status(thm)],[f439,f450])).
% 16.36/2.70 fof(f493,plain,(
% 16.36/2.70 cons(sk6,nil)=sk1|nil=sk1),
% 16.36/2.70 inference(forward_demodulation,[status(thm)],[f439,f492])).
% 16.36/2.70 fof(f495,plain,(
% 16.36/2.70 cons(sk6,nil)=sk1),
% 16.36/2.70 inference(forward_subsumption_resolution,[status(thm)],[f493,f440])).
% 16.36/2.70 fof(f501,plain,(
% 16.36/2.70 app(sk1,nil)=sk1),
% 16.36/2.70 inference(resolution,[status(thm)],[f277,f434])).
% 16.36/2.70 fof(f504,plain,(
% 16.36/2.70 app(nil,sk1)=sk1),
% 16.36/2.70 inference(resolution,[status(thm)],[f278,f434])).
% 16.36/2.70 fof(f1116,plain,(
% 16.36/2.70 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~ssItem(sk5(X2,X1,X0))|~ssItem(X0)|leq(X0,sk5(X2,X1,X0)))),
% 16.36/2.74 inference(resolution,[status(thm)],[f444,f309])).
% 16.36/2.74 fof(f1121,plain,(
% 16.36/2.74 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~ssItem(sk5(X2,X1,X0))|leq(X0,sk5(X2,X1,X0)))),
% 16.36/2.74 inference(duplicate_literals_removal,[status(thm)],[f1116])).
% 16.36/2.74 fof(f1122,plain,(
% 16.36/2.74 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1)),
% 16.36/2.74 inference(backward_subsumption_resolution,[status(thm)],[f445,f1123])).
% 16.36/2.74 fof(f1123,plain,(
% 16.36/2.74 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|leq(X0,sk5(X2,X1,X0)))),
% 16.36/2.74 inference(forward_subsumption_resolution,[status(thm)],[f1121,f441])).
% 16.36/2.74 fof(f1606,plain,(
% 16.36/2.74 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,cons(sk6,nil)),X1)=sk1)),
% 16.36/2.74 inference(resolution,[status(thm)],[f1122,f487])).
% 16.36/2.74 fof(f1607,plain,(
% 16.36/2.74 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,sk1),X1)=sk1)),
% 16.36/2.74 inference(forward_demodulation,[status(thm)],[f495,f1606])).
% 16.36/2.74 fof(f1617,plain,(
% 16.36/2.74 ![X0]: (~ssList(X0)|~app(app(X0,sk1),nil)=sk1)),
% 16.36/2.74 inference(resolution,[status(thm)],[f1607,f211])).
% 16.36/2.74 fof(f1629,plain,(
% 16.36/2.74 ~app(app(nil,sk1),nil)=sk1),
% 16.36/2.74 inference(resolution,[status(thm)],[f1617,f211])).
% 16.36/2.74 fof(f1632,plain,(
% 16.36/2.74 ~app(sk1,nil)=sk1),
% 16.36/2.74 inference(forward_demodulation,[status(thm)],[f504,f1629])).
% 16.36/2.74 fof(f1633,plain,(
% 16.36/2.74 ~sk1=sk1),
% 16.36/2.74 inference(forward_demodulation,[status(thm)],[f501,f1632])).
% 16.36/2.74 fof(f1634,plain,(
% 16.36/2.74 $false),
% 16.36/2.74 inference(trivial_equality_resolution,[status(thm)],[f1633])).
% 16.36/2.74 % SZS output end CNFRefutation for theBenchmark.p
% 4.40/2.75 % Elapsed time: 2.273828 seconds
% 4.40/2.75 % CPU time: 17.045164 seconds
% 4.40/2.75 % Total memory used: 243.643 MB
% 4.40/2.75 % Net memory used: 236.566 MB
%------------------------------------------------------------------------------