%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC415-1 : 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 : n014.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 02:42:25 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC415-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n014.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 08:22:51 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f8,axiom,(
% 0.16/0.48 ssList(nil) ),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f75,axiom,(
% 0.16/0.48 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f100,axiom,(
% 0.16/0.48 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f115,axiom,(
% 0.16/0.48 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f187,negated_conjecture,(
% 0.16/0.48 ssList(sk2) ),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f190,negated_conjecture,(
% 0.16/0.48 sk2 = sk4 ),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f191,negated_conjecture,(
% 0.16/0.48 sk1 = sk3 ),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f192,negated_conjecture,(
% 0.16/0.48 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f196,negated_conjecture,(
% 0.16/0.48 (![A]: (( ~ ssList(A)| sk3 = A| tl(sk4) != A| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f197,negated_conjecture,(
% 0.16/0.48 (![A]: (( ~ ssList(A)| tl(sk2) != A| sk1 != A| ~ neq(nil,sk2)| ~ neq(sk4,nil) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f205,plain,(
% 0.16/0.48 ssList(nil)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.48 fof(f273,plain,(
% 0.16/0.48 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f75])).
% 0.16/0.48 fof(f300,plain,(
% 0.16/0.48 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f100])).
% 0.16/0.48 fof(f318,plain,(
% 0.16/0.48 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f115])).
% 0.16/0.48 fof(f319,plain,(
% 0.16/0.48 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f318])).
% 0.16/0.48 fof(f429,plain,(
% 0.16/0.48 ssList(sk2)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f187])).
% 0.16/0.48 fof(f432,plain,(
% 0.16/0.48 sk2=sk4),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f190])).
% 0.16/0.48 fof(f433,plain,(
% 0.16/0.48 sk1=sk3),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f191])).
% 0.16/0.48 fof(f434,plain,(
% 0.16/0.48 neq(sk2,nil)|neq(sk2,nil)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f192])).
% 0.16/0.48 fof(f440,plain,(
% 0.16/0.48 ((![A]: ((~ssList(A)|sk3=A)|~tl(sk4)=A))|~neq(nil,sk4))|~neq(sk4,nil)),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f196])).
% 0.16/0.48 fof(f441,plain,(
% 0.16/0.48 ![X0]: (~ssList(X0)|sk3=X0|~tl(sk4)=X0|~neq(nil,sk4)|~neq(sk4,nil))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f440])).
% 0.16/0.48 fof(f442,plain,(
% 0.16/0.48 ((![A]: ((~ssList(A)|~tl(sk2)=A)|~sk1=A))|~neq(nil,sk2))|~neq(sk4,nil)),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f197])).
% 0.16/0.48 fof(f443,plain,(
% 0.16/0.48 ![X0]: (~ssList(X0)|~tl(sk2)=X0|~sk1=X0|~neq(nil,sk2)|~neq(sk4,nil))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f442])).
% 0.16/0.48 fof(f451,plain,(
% 0.16/0.48 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.16/0.48 inference(destructive_equality_resolution,[status(thm)],[f319])).
% 0.16/0.48 fof(f452,plain,(
% 0.16/0.48 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.16/0.48 inference(duplicate_literals_removal,[status(thm)],[f451])).
% 0.16/0.48 fof(f473,plain,(
% 0.16/0.48 neq(sk2,nil)),
% 0.16/0.48 inference(duplicate_literals_removal,[status(thm)],[f434])).
% 0.16/0.48 fof(f476,plain,(
% 0.16/0.48 ~ssList(tl(sk4))|sk3=tl(sk4)|~neq(nil,sk4)|~neq(sk4,nil)),
% 0.16/0.48 inference(destructive_equality_resolution,[status(thm)],[f441])).
% 0.16/0.48 fof(f477,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|~sk1=tl(sk2)|~neq(nil,sk2)|~neq(sk4,nil)),
% 0.16/0.48 inference(destructive_equality_resolution,[status(thm)],[f443])).
% 0.16/0.48 fof(f522,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|sk3=tl(sk4)|~neq(nil,sk4)|~neq(sk4,nil)),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f432,f476])).
% 0.16/0.48 fof(f523,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|sk1=tl(sk4)|~neq(nil,sk4)|~neq(sk4,nil)),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f433,f522])).
% 0.16/0.48 fof(f524,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|sk1=tl(sk2)|~neq(nil,sk4)|~neq(sk4,nil)),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f432,f523])).
% 0.16/0.48 fof(f525,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|sk1=tl(sk2)|~neq(nil,sk2)|~neq(sk4,nil)),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f432,f524])).
% 0.16/0.48 fof(f526,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|sk1=tl(sk2)|~neq(nil,sk2)|~neq(sk2,nil)),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f432,f525])).
% 0.16/0.48 fof(f527,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|sk1=tl(sk2)|~neq(nil,sk2)),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f526,f473])).
% 0.16/0.48 fof(f530,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|~sk1=tl(sk2)|~neq(nil,sk2)|~neq(sk2,nil)),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f432,f477])).
% 0.16/0.48 fof(f531,plain,(
% 0.16/0.48 ~ssList(tl(sk2))|~neq(nil,sk2)|~neq(sk2,nil)),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f530,f527])).
% 0.16/0.48 fof(f532,plain,(
% 0.16/0.48 ~neq(nil,sk2)|~neq(sk2,nil)|~ssList(sk2)|nil=sk2),
% 0.16/0.48 inference(resolution,[status(thm)],[f531,f273])).
% 0.16/0.48 fof(f533,plain,(
% 0.16/0.48 ~neq(nil,sk2)|~ssList(sk2)|nil=sk2),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f532,f473])).
% 0.16/0.48 fof(f820,plain,(
% 0.16/0.48 ~neq(nil,sk2)|nil=sk2),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f533,f429])).
% 0.16/0.48 fof(f821,plain,(
% 0.16/0.48 nil=sk2|~ssList(sk2)|~ssList(nil)|nil=sk2),
% 0.16/0.48 inference(resolution,[status(thm)],[f820,f300])).
% 0.16/0.48 fof(f822,plain,(
% 0.16/0.48 nil=sk2|~ssList(sk2)|~ssList(nil)),
% 0.16/0.48 inference(duplicate_literals_removal,[status(thm)],[f821])).
% 0.16/0.48 fof(f823,plain,(
% 0.16/0.48 nil=sk2|~ssList(nil)),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f822,f429])).
% 0.16/0.48 fof(f833,plain,(
% 0.16/0.48 neq(nil,nil)),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f836,f473])).
% 0.16/0.48 fof(f836,plain,(
% 0.16/0.48 nil=sk2),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f823,f205])).
% 0.16/0.48 fof(f848,plain,(
% 0.16/0.48 ~ssList(nil)),
% 0.16/0.48 inference(resolution,[status(thm)],[f833,f452])).
% 0.16/0.48 fof(f849,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f848,f205])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.52 % Elapsed time: 0.084180 seconds
% 0.16/0.52 % CPU time: 0.199330 seconds
% 0.16/0.52 % Total memory used: 35.158 MB
% 0.16/0.52 % Net memory used: 35.051 MB
%------------------------------------------------------------------------------