%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC027-1 : 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 : n010.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 02:41:22 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC027-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:50:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f71,axiom,(
% 0.09/0.41 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f99,axiom,(
% 0.09/0.41 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f188,negated_conjecture,(
% 0.09/0.41 ssList(sk3) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f190,negated_conjecture,(
% 0.09/0.41 sk2 = sk4 ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f191,negated_conjecture,(
% 0.09/0.41 sk1 = sk3 ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f192,negated_conjecture,(
% 0.09/0.41 ( ssItem(sk5)| nil = sk4 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f193,negated_conjecture,(
% 0.09/0.41 ( ssItem(sk5)| nil = sk3 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f194,negated_conjecture,(
% 0.09/0.41 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f198,negated_conjecture,(
% 0.09/0.41 ( memberP(sk4,sk5)| nil = sk3 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f200,negated_conjecture,(
% 0.09/0.41 ( nil = sk2| nil = sk1 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f203,negated_conjecture,(
% 0.09/0.41 ( nil != sk1| nil != sk2 ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f274,plain,(
% 0.09/0.41 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f71])).
% 0.09/0.41 fof(f304,plain,(
% 0.09/0.41 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f99])).
% 0.09/0.41 fof(f305,plain,(
% 0.09/0.41 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f304])).
% 0.09/0.41 fof(f436,plain,(
% 0.09/0.41 ssList(sk3)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f188])).
% 0.09/0.41 fof(f438,plain,(
% 0.09/0.41 sk2=sk4),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.41 fof(f439,plain,(
% 0.09/0.41 sk1=sk3),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.09/0.41 fof(f440,plain,(
% 0.09/0.41 ssItem(sk5)|nil=sk4),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/0.41 fof(f441,plain,(
% 0.09/0.41 ssItem(sk5)|nil=sk3),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.41 fof(f442,plain,(
% 0.09/0.41 cons(sk5,nil)=sk3|nil=sk4),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f194])).
% 0.09/0.41 fof(f447,plain,(
% 0.09/0.41 memberP(sk4,sk5)|nil=sk3),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f198])).
% 0.09/0.41 fof(f450,plain,(
% 0.09/0.41 nil=sk2|nil=sk1),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f200])).
% 0.09/0.41 fof(f453,plain,(
% 0.09/0.41 ~nil=sk1|~nil=sk2),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f203])).
% 0.09/0.41 fof(f461,definition,(
% 0.09/0.41 sQ2_spl <=> (ssItem(sk5))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f462,plain,(
% 0.09/0.41 ssItem(sk5)|~sQ2_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f461])).
% 0.09/0.41 fof(f464,definition,(
% 0.09/0.41 sQ3_spl <=> (nil=sk4)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f465,plain,(
% 0.09/0.41 nil=sk4|~sQ3_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f464])).
% 0.09/0.41 fof(f466,plain,(
% 0.09/0.41 ~nil=sk4|sQ3_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f464])).
% 0.09/0.41 fof(f467,plain,(
% 0.09/0.41 sQ2_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f440,f461,f464])).
% 0.09/0.41 fof(f468,definition,(
% 0.09/0.41 sQ4_spl <=> (nil=sk3)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f469,plain,(
% 0.09/0.41 nil=sk3|~sQ4_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f468])).
% 0.09/0.41 fof(f471,plain,(
% 0.09/0.41 sQ2_spl|sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f441,f461,f468])).
% 0.09/0.41 fof(f472,definition,(
% 0.09/0.41 sQ5_spl <=> (cons(sk5,nil)=sk3)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f473,plain,(
% 0.09/0.41 cons(sk5,nil)=sk3|~sQ5_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f472])).
% 0.09/0.41 fof(f475,plain,(
% 0.09/0.41 sQ5_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f442,f472,f464])).
% 0.09/0.41 fof(f476,definition,(
% 0.09/0.41 sQ6_spl <=> (memberP(sk4,sk5))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f477,plain,(
% 0.09/0.41 memberP(sk4,sk5)|~sQ6_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f476])).
% 0.09/0.41 fof(f485,plain,(
% 0.09/0.41 sQ6_spl|sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f447,f476,f468])).
% 0.09/0.41 fof(f487,definition,(
% 0.09/0.41 sQ8_spl <=> (nil=sk2)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f488,plain,(
% 0.09/0.41 nil=sk2|~sQ8_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f487])).
% 0.09/0.41 fof(f489,plain,(
% 0.09/0.41 ~nil=sk2|sQ8_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f487])).
% 0.09/0.41 fof(f490,definition,(
% 0.09/0.41 sQ9_spl <=> (nil=sk1)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f491,plain,(
% 0.09/0.41 nil=sk1|~sQ9_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f490])).
% 0.09/0.41 fof(f492,plain,(
% 0.09/0.41 ~nil=sk1|sQ9_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f490])).
% 0.09/0.41 fof(f493,plain,(
% 0.09/0.41 sQ8_spl|sQ9_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f450,f487,f490])).
% 0.09/0.41 fof(f496,plain,(
% 0.09/0.41 ~sQ9_spl|~sQ8_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f453,f490,f487])).
% 0.09/0.41 fof(f529,plain,(
% 0.09/0.41 sk4=sk3|~sQ3_spl|~sQ4_spl),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f465,f469])).
% 0.09/0.41 fof(f530,plain,(
% 0.09/0.41 ~sk4=sk1|~sQ3_spl|sQ9_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f465,f492])).
% 0.09/0.41 fof(f531,plain,(
% 0.09/0.41 ~sk4=sk3|~sQ3_spl|sQ9_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f439,f530])).
% 0.09/0.41 fof(f533,plain,(
% 0.09/0.41 $false|sQ9_spl|~sQ3_spl|~sQ4_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f529,f531])).
% 0.09/0.41 fof(f534,plain,(
% 0.09/0.41 sQ9_spl|~sQ3_spl|~sQ4_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f533])).
% 0.09/0.41 fof(f536,plain,(
% 0.09/0.41 ~sk4=sk2|~sQ3_spl|sQ8_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f465,f489])).
% 0.09/0.41 fof(f537,plain,(
% 0.09/0.41 ~sk4=sk4|~sQ3_spl|sQ8_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f438,f536])).
% 0.09/0.41 fof(f538,plain,(
% 0.09/0.41 $false|~sQ3_spl|sQ8_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f537])).
% 0.09/0.41 fof(f539,plain,(
% 0.09/0.41 ~sQ3_spl|sQ8_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f538])).
% 0.09/0.41 fof(f540,plain,(
% 0.09/0.41 nil=sk4|~sQ8_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f438,f488])).
% 0.09/0.41 fof(f545,plain,(
% 0.09/0.41 ![X0]: (~memberP(sk4,X0)|~ssItem(X0)|~sQ8_spl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f540,f274])).
% 0.09/0.41 fof(f556,plain,(
% 0.09/0.41 ~sk4=sk4|~sQ8_spl|sQ3_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f540,f466])).
% 0.09/0.41 fof(f557,plain,(
% 0.09/0.41 $false|~sQ8_spl|sQ3_spl),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f556])).
% 0.09/0.41 fof(f558,plain,(
% 0.09/0.41 ~sQ8_spl|sQ3_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f557])).
% 0.09/0.41 fof(f563,plain,(
% 0.09/0.41 ~ssItem(sk5)|~sQ6_spl|~sQ8_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f477,f545])).
% 0.09/0.41 fof(f564,plain,(
% 0.09/0.41 $false|~sQ2_spl|~sQ6_spl|~sQ8_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f563,f462])).
% 0.09/0.41 fof(f565,plain,(
% 0.09/0.41 ~sQ2_spl|~sQ6_spl|~sQ8_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f564])).
% 0.09/0.41 fof(f567,plain,(
% 0.09/0.41 nil=sk3|~sQ9_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f439,f491])).
% 0.09/0.41 fof(f569,plain,(
% 0.09/0.41 cons(sk5,sk3)=sk3|~sQ9_spl|~sQ5_spl),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f567,f473])).
% 0.09/0.41 fof(f572,plain,(
% 0.09/0.41 ~ssItem(sk5)|~ssList(sk3)|~sQ9_spl|~sQ5_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f305,f569])).
% 0.09/0.41 fof(f574,definition,(
% 0.09/0.41 sQ10_spl <=> (ssList(sk3))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f576,plain,(
% 0.09/0.41 ~ssList(sk3)|sQ10_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f574])).
% 0.09/0.41 fof(f577,plain,(
% 0.09/0.41 ~sQ2_spl|~sQ10_spl|~sQ9_spl|~sQ5_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f572,f461,f574,f490,f472])).
% 0.09/0.41 fof(f582,plain,(
% 0.09/0.41 $false|sQ10_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f576,f436])).
% 0.09/0.41 fof(f583,plain,(
% 0.09/0.41 sQ10_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f582])).
% 0.09/0.41 fof(f584,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f467,f471,f475,f485,f493,f496,f534,f539,f558,f565,f577,f583])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.061057 seconds
% 0.09/0.43 % CPU time: 0.172283 seconds
% 0.09/0.43 % Total memory used: 108.924 MB
% 0.09/0.43 % Net memory used: 108.786 MB
%------------------------------------------------------------------------------