%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC047-1 : 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 02:41:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC047-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:51:20 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f8,axiom,(
% 0.14/0.39 ssList(nil) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f58,axiom,(
% 0.14/0.39 (![U]: (( ~ ssList(U)| rearsegP(U,nil) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f59,axiom,(
% 0.14/0.39 (![U]: (( ~ ssList(U)| rearsegP(U,U) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f189,negated_conjecture,(
% 0.14/0.39 ssList(sk4) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f190,negated_conjecture,(
% 0.14/0.39 sk2 = sk4 ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f191,negated_conjecture,(
% 0.14/0.39 sk1 = sk3 ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f192,negated_conjecture,(
% 0.14/0.39 sk4 = sk3 ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f193,negated_conjecture,(
% 0.14/0.39 ( nil = sk2| neq(sk2,nil) ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f194,negated_conjecture,(
% 0.14/0.39 (![A]: (( nil = sk2| ~ ssList(A)| ~ neq(A,nil)| ~ rearsegP(sk2,A)| ~ rearsegP(sk1,A) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f195,negated_conjecture,(
% 0.14/0.39 ( nil != sk1| neq(sk2,nil) ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f196,negated_conjecture,(
% 0.14/0.39 (![A]: (( nil != sk1| ~ ssList(A)| ~ neq(A,nil)| ~ rearsegP(sk2,A)| ~ rearsegP(sk1,A) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f204,plain,(
% 0.14/0.39 ssList(nil)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f254,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.39 fof(f255,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f59])).
% 0.14/0.39 fof(f430,plain,(
% 0.14/0.39 ssList(sk4)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f189])).
% 0.14/0.39 fof(f431,plain,(
% 0.14/0.39 sk2=sk4),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/0.39 fof(f432,plain,(
% 0.14/0.39 sk1=sk3),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f191])).
% 0.14/0.39 fof(f433,plain,(
% 0.14/0.39 sk4=sk3),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.39 fof(f434,plain,(
% 0.14/0.39 nil=sk2|neq(sk2,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.14/0.39 fof(f435,plain,(
% 0.14/0.39 ![X0]: (nil=sk2|~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/0.39 fof(f436,plain,(
% 0.14/0.39 ~nil=sk1|neq(sk2,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f195])).
% 0.14/0.39 fof(f437,plain,(
% 0.14/0.39 ![X0]: (~nil=sk1|~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f196])).
% 0.14/0.39 fof(f445,definition,(
% 0.14/0.39 sQ2_spl <=> (nil=sk2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f446,plain,(
% 0.14/0.39 nil=sk2|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f445])).
% 0.14/0.39 fof(f448,definition,(
% 0.14/0.39 sQ3_spl <=> (neq(sk2,nil))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f449,plain,(
% 0.14/0.39 neq(sk2,nil)|~sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f448])).
% 0.14/0.39 fof(f451,plain,(
% 0.14/0.39 sQ2_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f434,f445,f448])).
% 0.14/0.39 fof(f452,definition,(
% 0.14/0.39 ![X0]: (sQ4_spl <=> (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f453,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0)|~sQ4_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f452])).
% 0.14/0.39 fof(f455,plain,(
% 0.14/0.39 sQ2_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f435,f445,f452])).
% 0.14/0.39 fof(f456,definition,(
% 0.14/0.39 sQ5_spl <=> (nil=sk1)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f458,plain,(
% 0.14/0.39 ~nil=sk1|sQ5_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f456])).
% 0.14/0.39 fof(f459,plain,(
% 0.14/0.39 ~sQ5_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f436,f456,f448])).
% 0.14/0.39 fof(f460,plain,(
% 0.14/0.39 ~sQ5_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f437,f456,f452])).
% 0.14/0.40 fof(f492,plain,(
% 0.14/0.40 sk1=sk4),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f433,f432])).
% 0.14/0.40 fof(f494,plain,(
% 0.14/0.40 ~sk4=sk1|~sQ2_spl|sQ5_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f496,f458])).
% 0.14/0.40 fof(f496,plain,(
% 0.14/0.40 nil=sk4|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f431,f446])).
% 0.14/0.40 fof(f497,plain,(
% 0.14/0.40 ~sk4=sk4|~sQ2_spl|sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f492,f494])).
% 0.14/0.40 fof(f498,plain,(
% 0.14/0.40 $false|~sQ2_spl|sQ5_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f497])).
% 0.14/0.40 fof(f499,plain,(
% 0.14/0.40 ~sQ2_spl|sQ5_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f498])).
% 0.14/0.40 fof(f500,plain,(
% 0.14/0.40 neq(sk4,nil)|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f431,f449])).
% 0.14/0.40 fof(f501,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk4,X0)|~rearsegP(sk1,X0)|~sQ4_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f431,f453])).
% 0.14/0.40 fof(f502,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk4,X0)|~rearsegP(sk4,X0)|~sQ4_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f492,f501])).
% 0.14/0.40 fof(f503,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk4,X0)|~sQ4_spl)),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f502])).
% 0.14/0.40 fof(f506,plain,(
% 0.14/0.40 rearsegP(sk4,sk4)),
% 0.14/0.40 inference(resolution,[status(thm)],[f255,f430])).
% 0.14/0.40 fof(f508,plain,(
% 0.14/0.40 rearsegP(sk4,nil)),
% 0.14/0.40 inference(resolution,[status(thm)],[f254,f430])).
% 0.14/0.40 fof(f517,plain,(
% 0.14/0.40 ~ssList(nil)|~neq(nil,nil)|~sQ4_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f503,f508])).
% 0.14/0.40 fof(f518,plain,(
% 0.14/0.40 ~ssList(sk4)|~neq(sk4,nil)|~sQ4_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f503,f506])).
% 0.14/0.40 fof(f519,definition,(
% 0.14/0.40 sQ6_spl <=> (ssList(nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f521,plain,(
% 0.14/0.40 ~ssList(nil)|sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f519])).
% 0.14/0.40 fof(f522,definition,(
% 0.14/0.40 sQ7_spl <=> (neq(nil,nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f525,plain,(
% 0.14/0.40 ~sQ6_spl|~sQ7_spl|~sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f517,f519,f522,f452])).
% 0.14/0.40 fof(f526,definition,(
% 0.14/0.40 sQ8_spl <=> (ssList(sk4))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f528,plain,(
% 0.14/0.40 ~ssList(sk4)|sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f526])).
% 0.14/0.40 fof(f529,definition,(
% 0.14/0.40 sQ9_spl <=> (neq(sk4,nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f531,plain,(
% 0.14/0.40 ~neq(sk4,nil)|sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f529])).
% 0.14/0.40 fof(f532,plain,(
% 0.14/0.40 ~sQ8_spl|~sQ9_spl|~sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f518,f526,f529,f452])).
% 0.14/0.40 fof(f533,plain,(
% 0.14/0.40 $false|sQ6_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f521,f204])).
% 0.14/0.40 fof(f534,plain,(
% 0.14/0.40 sQ6_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f533])).
% 0.14/0.40 fof(f535,plain,(
% 0.14/0.40 $false|sQ8_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f528,f430])).
% 0.14/0.40 fof(f536,plain,(
% 0.14/0.40 sQ8_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f535])).
% 0.14/0.40 fof(f538,plain,(
% 0.14/0.40 $false|~sQ3_spl|sQ9_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f531,f500])).
% 0.14/0.40 fof(f539,plain,(
% 0.14/0.40 ~sQ3_spl|sQ9_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f538])).
% 0.14/0.40 fof(f540,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f451,f455,f459,f460,f499,f525,f532,f534,f536,f539])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.059918 seconds
% 0.14/0.42 % CPU time: 0.157855 seconds
% 0.14/0.42 % Total memory used: 108.436 MB
% 0.14/0.42 % Net memory used: 108.308 MB
%------------------------------------------------------------------------------