%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC046-1 : 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 : n004.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 02:41:26 PM UTC 2026
% Result : Unsatisfiable 48.00s 6.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 07:51:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 48.00/6.56 % Refutation found
% 48.00/6.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 48.00/6.56 % SZS output start CNFRefutation for theBenchmark
% 48.00/6.56 fof(f71,axiom,(
% 48.00/6.56 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 48.00/6.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.56 fof(f75,axiom,(
% 48.00/6.56 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 48.00/6.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.56 fof(f76,axiom,(
% 48.00/6.56 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 48.00/6.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.56 fof(f104,axiom,(
% 48.00/6.56 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 48.00/6.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.56 fof(f138,axiom,(
% 48.00/6.56 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 48.00/6.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.56 fof(f186,negated_conjecture,(
% 48.00/6.56 ssList(sk1) ),
% 48.00/6.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.56 fof(f190,negated_conjecture,(
% 48.00/6.56 nil = sk2 ),
% 48.00/6.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.57 fof(f191,negated_conjecture,(
% 48.00/6.57 sk2 = sk4 ),
% 48.00/6.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.57 fof(f192,negated_conjecture,(
% 48.00/6.57 sk1 = sk3 ),
% 48.00/6.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.57 fof(f193,negated_conjecture,(
% 48.00/6.57 nil != sk1 ),
% 48.00/6.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.57 fof(f196,negated_conjecture,(
% 48.00/6.57 (![A]: (( ~ ssItem(A)| ~ memberP(sk3,A)| memberP(sk4,A) ) ))),
% 48.00/6.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.00/6.57 fof(f268,plain,(
% 48.00/6.57 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f71])).
% 48.00/6.57 fof(f273,plain,(
% 48.00/6.57 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f75])).
% 48.00/6.57 fof(f274,plain,(
% 48.00/6.57 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f76])).
% 48.00/6.57 fof(f304,plain,(
% 48.00/6.57 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f104])).
% 48.00/6.57 fof(f350,plain,(
% 48.00/6.57 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f138])).
% 48.00/6.57 fof(f428,plain,(
% 48.00/6.57 ssList(sk1)),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f186])).
% 48.00/6.57 fof(f432,plain,(
% 48.00/6.57 nil=sk2),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f190])).
% 48.00/6.57 fof(f433,plain,(
% 48.00/6.57 sk2=sk4),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f191])).
% 48.00/6.57 fof(f434,plain,(
% 48.00/6.57 sk1=sk3),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f192])).
% 48.00/6.57 fof(f435,plain,(
% 48.00/6.57 ~nil=sk1),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f193])).
% 48.00/6.57 fof(f438,plain,(
% 48.00/6.57 ![X0]: (~ssItem(X0)|~memberP(sk3,X0)|memberP(sk4,X0))),
% 48.00/6.57 inference(cnf_transformation,[status(thm)],[f196])).
% 48.00/6.57 fof(f452,plain,(
% 48.00/6.57 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 48.00/6.57 inference(destructive_equality_resolution,[status(thm)],[f350])).
% 48.00/6.57 fof(f453,plain,(
% 48.00/6.57 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 48.00/6.57 inference(duplicate_literals_removal,[status(thm)],[f452])).
% 48.00/6.57 fof(f473,plain,(
% 48.00/6.57 nil=sk4),
% 48.00/6.57 inference(forward_demodulation,[status(thm)],[f432,f433])).
% 48.00/6.57 fof(f480,plain,(
% 48.00/6.57 ![X0]: (~ssItem(X0)|~memberP(sk1,X0)|memberP(sk4,X0))),
% 48.00/6.57 inference(forward_demodulation,[status(thm)],[f434,f438])).
% 48.00/6.57 fof(f481,plain,(
% 48.00/6.57 ![X0]: (~ssItem(X0)|~memberP(sk1,X0)|memberP(nil,X0))),
% 48.00/6.57 inference(forward_demodulation,[status(thm)],[f473,f480])).
% 48.00/6.57 fof(f482,plain,(
% 48.00/6.57 ![X0]: (~ssItem(X0)|~memberP(sk1,X0))),
% 48.00/6.57 inference(forward_subsumption_resolution,[status(thm)],[f481,f268])).
% 48.00/6.57 fof(f2083,plain,(
% 48.00/6.57 cons(hd(sk1),tl(sk1))=sk1|nil=sk1),
% 48.00/6.57 inference(resolution,[status(thm)],[f304,f428])).
% 48.00/6.57 fof(f2087,plain,(
% 48.00/6.57 cons(hd(sk1),tl(sk1))=sk1),
% 48.00/6.57 inference(forward_subsumption_resolution,[status(thm)],[f2083,f435])).
% 48.00/6.57 fof(f2090,plain,(
% 48.00/6.57 ~ssList(tl(sk1))|~ssItem(hd(sk1))|memberP(sk1,hd(sk1))),
% 48.00/6.57 inference(paramodulation,[status(thm)],[f2087,f453])).
% 48.00/6.57 fof(f2092,plain,(
% 48.00/6.57 ~ssList(tl(sk1))|~ssItem(hd(sk1))),
% 48.00/6.57 inference(forward_subsumption_resolution,[status(thm)],[f2090,f482])).
% 48.00/6.57 fof(f2093,plain,(
% 48.00/6.57 ~ssItem(hd(sk1))|~ssList(sk1)|nil=sk1),
% 48.00/6.57 inference(resolution,[status(thm)],[f2092,f273])).
% 48.00/6.59 fof(f2094,plain,(
% 48.00/6.59 ~ssList(sk1)|nil=sk1),
% 48.00/6.59 inference(forward_subsumption_resolution,[status(thm)],[f2093,f274])).
% 48.00/6.59 fof(f2136,plain,(
% 48.00/6.59 nil=sk1),
% 48.00/6.59 inference(resolution,[status(thm)],[f2094,f428])).
% 48.00/6.59 fof(f2137,plain,(
% 48.00/6.59 $false),
% 48.00/6.59 inference(forward_subsumption_resolution,[status(thm)],[f2136,f435])).
% 48.00/6.59 % SZS output end CNFRefutation for theBenchmark.p
% 20.56/6.65 % Elapsed time: 6.264034 seconds
% 20.56/6.65 % CPU time: 49.018468 seconds
% 20.56/6.65 % Total memory used: 483.509 MB
% 20.56/6.65 % Net memory used: 461.016 MB
%------------------------------------------------------------------------------