%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC242-1 : 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 : n007.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 02:41:57 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC242-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n007.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 21 08:05:50 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.15/0.53 % Refutation found
% 0.15/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.53 fof(f103,axiom,(
% 0.15/0.53 (![U,V]: (( ~ lt(U,V)| ~ ssItem(V)| ~ ssItem(U)| leq(U,V) ) ))),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f191,negated_conjecture,(
% 0.15/0.53 sk1 = sk3 ),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f192,negated_conjecture,(
% 0.15/0.53 nil != sk1 ),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f193,negated_conjecture,(
% 0.15/0.53 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ssItem(sk5(C,B,A)) ) ))),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f196,negated_conjecture,(
% 0.15/0.53 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| lt(A,sk5(C,B,A)) ) ))),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f197,negated_conjecture,(
% 0.15/0.53 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ~ leq(A,sk5(C,B,A)) ) ))),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f198,negated_conjecture,(
% 0.15/0.53 ( nil = sk3| ssItem(sk6) ) ),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f199,negated_conjecture,(
% 0.15/0.53 ( nil = sk3| ssList(sk7) ) ),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f200,negated_conjecture,(
% 0.15/0.53 ( nil = sk3| ssList(sk8) ) ),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f201,negated_conjecture,(
% 0.15/0.53 ( nil = sk3| app(app(sk7,cons(sk6,nil)),sk8) = sk3 ) ),
% 0.15/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f308,plain,(
% 0.15/0.53 ![X0,X1]: (~lt(X0,X1)|~ssItem(X1)|~ssItem(X0)|leq(X0,X1))),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f103])).
% 0.15/0.53 fof(f438,plain,(
% 0.15/0.53 sk1=sk3),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f191])).
% 0.15/0.53 fof(f439,plain,(
% 0.15/0.53 ~nil=sk1),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/0.53 fof(f440,plain,(
% 0.15/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|ssItem(sk5(X2,X1,X0)))),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f193])).
% 0.15/0.53 fof(f443,plain,(
% 0.15/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|lt(X0,sk5(X2,X1,X0)))),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f196])).
% 0.15/0.53 fof(f444,plain,(
% 0.15/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~leq(X0,sk5(X2,X1,X0)))),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f197])).
% 0.15/0.53 fof(f445,plain,(
% 0.15/0.53 nil=sk3|ssItem(sk6)),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f198])).
% 0.15/0.53 fof(f446,plain,(
% 0.15/0.53 nil=sk3|ssList(sk7)),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f199])).
% 0.15/0.53 fof(f447,plain,(
% 0.15/0.53 nil=sk3|ssList(sk8)),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f200])).
% 0.15/0.53 fof(f448,plain,(
% 0.15/0.53 nil=sk3|app(app(sk7,cons(sk6,nil)),sk8)=sk3),
% 0.15/0.53 inference(cnf_transformation,[status(thm)],[f201])).
% 0.15/0.53 fof(f483,plain,(
% 0.15/0.53 nil=sk1|ssItem(sk6)),
% 0.15/0.53 inference(forward_demodulation,[status(thm)],[f438,f445])).
% 0.15/0.53 fof(f484,plain,(
% 0.15/0.53 ssItem(sk6)),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f483,f439])).
% 0.15/0.53 fof(f485,plain,(
% 0.15/0.53 nil=sk1|ssList(sk7)),
% 0.15/0.53 inference(forward_demodulation,[status(thm)],[f438,f446])).
% 0.15/0.53 fof(f486,plain,(
% 0.15/0.53 ssList(sk7)),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f485,f439])).
% 0.15/0.53 fof(f487,plain,(
% 0.15/0.53 nil=sk1|ssList(sk8)),
% 0.15/0.53 inference(forward_demodulation,[status(thm)],[f438,f447])).
% 0.15/0.53 fof(f488,plain,(
% 0.15/0.53 ssList(sk8)),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f487,f439])).
% 0.15/0.53 fof(f489,plain,(
% 0.15/0.53 nil=sk1|app(app(sk7,cons(sk6,nil)),sk8)=sk3),
% 0.15/0.53 inference(forward_demodulation,[status(thm)],[f438,f448])).
% 0.15/0.53 fof(f490,plain,(
% 0.15/0.53 nil=sk1|app(app(sk7,cons(sk6,nil)),sk8)=sk1),
% 0.15/0.53 inference(forward_demodulation,[status(thm)],[f438,f489])).
% 0.15/0.53 fof(f491,plain,(
% 0.15/0.53 app(app(sk7,cons(sk6,nil)),sk8)=sk1),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f490,f439])).
% 0.15/0.53 fof(f601,plain,(
% 0.15/0.53 ![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)))),
% 0.15/0.53 inference(resolution,[status(thm)],[f443,f308])).
% 0.15/0.53 fof(f602,plain,(
% 0.15/0.53 ![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)))),
% 0.15/0.53 inference(duplicate_literals_removal,[status(thm)],[f601])).
% 0.15/0.53 fof(f603,plain,(
% 0.15/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1)),
% 0.15/0.53 inference(backward_subsumption_resolution,[status(thm)],[f444,f604])).
% 0.15/0.53 fof(f604,plain,(
% 0.15/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|leq(X0,sk5(X2,X1,X0)))),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f602,f440])).
% 0.15/0.53 fof(f810,plain,(
% 0.15/0.53 ~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)),
% 0.15/0.53 inference(resolution,[status(thm)],[f603,f491])).
% 0.15/0.53 fof(f812,plain,(
% 0.15/0.53 ~ssList(sk7)|~ssList(sk8)),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f810,f484])).
% 0.15/0.53 fof(f814,plain,(
% 0.15/0.53 ~ssList(sk7)),
% 0.15/0.53 inference(resolution,[status(thm)],[f812,f488])).
% 0.15/0.53 fof(f815,plain,(
% 0.15/0.53 $false),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f814,f486])).
% 0.15/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56 % Elapsed time: 0.132214 seconds
% 0.15/0.56 % CPU time: 0.657023 seconds
% 0.15/0.56 % Total memory used: 86.211 MB
% 0.15/0.56 % Net memory used: 85.667 MB
%------------------------------------------------------------------------------