%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC239-1 : 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 02:41:56 PM UTC 2026
% Result : Unsatisfiable 7.81s 1.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC239-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 08:13:13 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 7.81/1.46 % Refutation found
% 7.81/1.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.81/1.46 % SZS output start CNFRefutation for theBenchmark
% 7.81/1.46 fof(f8,axiom,(
% 7.81/1.46 ssList(nil) ),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f73,axiom,(
% 7.81/1.46 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f74,axiom,(
% 7.81/1.46 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f103,axiom,(
% 7.81/1.46 (![U,V]: (( ~ lt(U,V)| ~ ssItem(V)| ~ ssItem(U)| leq(U,V) ) ))),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f186,negated_conjecture,(
% 7.81/1.46 ssList(sk1) ),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f191,negated_conjecture,(
% 7.81/1.46 sk1 = sk3 ),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f192,negated_conjecture,(
% 7.81/1.46 nil != sk1 ),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f193,negated_conjecture,(
% 7.81/1.46 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ssItem(sk5(C,B,A)) ) ))),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f196,negated_conjecture,(
% 7.81/1.46 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| lt(A,sk5(C,B,A)) ) ))),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f197,negated_conjecture,(
% 7.81/1.46 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ~ leq(A,sk5(C,B,A)) ) ))),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f199,negated_conjecture,(
% 7.81/1.46 ( ssItem(sk6)| nil = sk3 ) ),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f203,negated_conjecture,(
% 7.81/1.46 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 7.81/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.81/1.46 fof(f213,plain,(
% 7.81/1.46 ssList(nil)),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f8])).
% 7.81/1.46 fof(f279,plain,(
% 7.81/1.46 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f73])).
% 7.81/1.46 fof(f280,plain,(
% 7.81/1.46 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f74])).
% 7.81/1.46 fof(f311,plain,(
% 7.81/1.46 ![X0,X1]: (~lt(X0,X1)|~ssItem(X1)|~ssItem(X0)|leq(X0,X1))),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f103])).
% 7.81/1.46 fof(f436,plain,(
% 7.81/1.46 ssList(sk1)),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f186])).
% 7.81/1.46 fof(f441,plain,(
% 7.81/1.46 sk1=sk3),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f191])).
% 7.81/1.46 fof(f442,plain,(
% 7.81/1.46 ~nil=sk1),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f192])).
% 7.81/1.46 fof(f443,plain,(
% 7.81/1.46 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|ssItem(sk5(X2,X1,X0)))),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f193])).
% 7.81/1.46 fof(f446,plain,(
% 7.81/1.46 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|lt(X0,sk5(X2,X1,X0)))),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f196])).
% 7.81/1.46 fof(f447,plain,(
% 7.81/1.46 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~leq(X0,sk5(X2,X1,X0)))),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f197])).
% 7.81/1.46 fof(f449,plain,(
% 7.81/1.46 ssItem(sk6)|nil=sk3),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f199])).
% 7.81/1.46 fof(f454,plain,(
% 7.81/1.46 cons(sk6,nil)=sk3|nil=sk3),
% 7.81/1.46 inference(cnf_transformation,[status(thm)],[f203])).
% 7.81/1.46 fof(f492,plain,(
% 7.81/1.46 ssItem(sk6)|nil=sk1),
% 7.81/1.46 inference(forward_demodulation,[status(thm)],[f441,f449])).
% 7.81/1.46 fof(f493,plain,(
% 7.81/1.46 ssItem(sk6)),
% 7.81/1.46 inference(forward_subsumption_resolution,[status(thm)],[f492,f442])).
% 7.81/1.46 fof(f500,plain,(
% 7.81/1.46 cons(sk6,nil)=sk1|nil=sk3),
% 7.81/1.46 inference(forward_demodulation,[status(thm)],[f441,f454])).
% 7.81/1.46 fof(f501,plain,(
% 7.81/1.46 cons(sk6,nil)=sk1|nil=sk1),
% 7.81/1.46 inference(forward_demodulation,[status(thm)],[f441,f500])).
% 7.81/1.46 fof(f503,plain,(
% 7.81/1.46 cons(sk6,nil)=sk1),
% 7.81/1.46 inference(forward_subsumption_resolution,[status(thm)],[f501,f442])).
% 7.81/1.46 fof(f512,plain,(
% 7.81/1.46 app(sk1,nil)=sk1),
% 7.81/1.46 inference(resolution,[status(thm)],[f279,f436])).
% 7.81/1.46 fof(f515,plain,(
% 7.81/1.46 app(nil,sk1)=sk1),
% 7.81/1.46 inference(resolution,[status(thm)],[f280,f436])).
% 7.81/1.46 fof(f1129,plain,(
% 7.81/1.46 ![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)))),
% 7.81/1.47 inference(resolution,[status(thm)],[f446,f311])).
% 7.81/1.47 fof(f1134,plain,(
% 7.81/1.47 ![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)))),
% 7.81/1.47 inference(duplicate_literals_removal,[status(thm)],[f1129])).
% 7.81/1.47 fof(f1135,plain,(
% 7.81/1.47 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1)),
% 7.81/1.47 inference(backward_subsumption_resolution,[status(thm)],[f447,f1136])).
% 7.81/1.47 fof(f1136,plain,(
% 7.81/1.47 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|leq(X0,sk5(X2,X1,X0)))),
% 7.81/1.47 inference(forward_subsumption_resolution,[status(thm)],[f1134,f443])).
% 7.81/1.47 fof(f1616,plain,(
% 7.81/1.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,cons(sk6,nil)),X1)=sk1)),
% 7.81/1.47 inference(resolution,[status(thm)],[f1135,f493])).
% 7.81/1.47 fof(f1617,plain,(
% 7.81/1.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,sk1),X1)=sk1)),
% 7.81/1.47 inference(forward_demodulation,[status(thm)],[f503,f1616])).
% 7.81/1.47 fof(f1627,plain,(
% 7.81/1.47 ![X0]: (~ssList(X0)|~app(app(X0,sk1),nil)=sk1)),
% 7.81/1.47 inference(resolution,[status(thm)],[f1617,f213])).
% 7.81/1.47 fof(f1639,plain,(
% 7.81/1.47 ~app(app(nil,sk1),nil)=sk1),
% 7.81/1.47 inference(resolution,[status(thm)],[f1627,f213])).
% 7.81/1.47 fof(f1642,plain,(
% 7.81/1.47 ~app(sk1,nil)=sk1),
% 7.81/1.47 inference(forward_demodulation,[status(thm)],[f515,f1639])).
% 7.81/1.47 fof(f1643,plain,(
% 7.81/1.47 ~sk1=sk1),
% 7.81/1.47 inference(forward_demodulation,[status(thm)],[f512,f1642])).
% 7.81/1.47 fof(f1644,plain,(
% 7.81/1.47 $false),
% 7.81/1.47 inference(trivial_equality_resolution,[status(thm)],[f1643])).
% 7.81/1.47 % SZS output end CNFRefutation for theBenchmark.p
% 7.81/1.49 % Elapsed time: 1.125576 seconds
% 7.81/1.49 % CPU time: 8.486262 seconds
% 7.81/1.49 % Total memory used: 230.044 MB
% 7.81/1.49 % Net memory used: 223.104 MB
%------------------------------------------------------------------------------