%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC380-1 : 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 : n019.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 02:42:19 PM UTC 2026
% Result : Unsatisfiable 0.68s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC380-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:20:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.68/0.52 % Refutation found
% 0.68/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.68/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.68/0.52 fof(f8,axiom,(
% 0.68/0.52 ssList(nil) ),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f120,axiom,(
% 0.68/0.52 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f138,axiom,(
% 0.68/0.52 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f190,negated_conjecture,(
% 0.68/0.52 sk2 = sk4 ),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f191,negated_conjecture,(
% 0.68/0.52 sk1 = sk3 ),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f192,negated_conjecture,(
% 0.68/0.52 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f199,negated_conjecture,(
% 0.68/0.52 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| ~ memberP(sk2,A)| ~ neq(sk4,nil) ) ))),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f200,negated_conjecture,(
% 0.68/0.52 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f201,negated_conjecture,(
% 0.68/0.52 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f202,negated_conjecture,(
% 0.68/0.52 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f203,negated_conjecture,(
% 0.68/0.52 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 0.68/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.68/0.52 fof(f211,plain,(
% 0.68/0.52 ssList(nil)),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.68/0.52 fof(f334,plain,(
% 0.68/0.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f120])).
% 0.68/0.52 fof(f356,plain,(
% 0.68/0.52 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f138])).
% 0.68/0.52 fof(f438,plain,(
% 0.68/0.52 sk2=sk4),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f190])).
% 0.68/0.52 fof(f439,plain,(
% 0.68/0.52 sk1=sk3),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f191])).
% 0.68/0.52 fof(f440,plain,(
% 0.68/0.52 neq(sk2,nil)|neq(sk2,nil)),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f192])).
% 0.68/0.52 fof(f448,plain,(
% 0.68/0.52 (![A]: ((~ssItem(A)|~cons(A,nil)=sk1)|~memberP(sk2,A)))|~neq(sk4,nil)),
% 0.68/0.52 inference(miniscoping,[status(thm)],[f199])).
% 0.68/0.52 fof(f449,plain,(
% 0.68/0.52 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~neq(sk4,nil))),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f448])).
% 0.68/0.52 fof(f450,plain,(
% 0.68/0.52 ssItem(sk5)|~neq(sk4,nil)),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f200])).
% 0.68/0.52 fof(f451,plain,(
% 0.68/0.52 ssList(sk6)|~neq(sk4,nil)),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f201])).
% 0.68/0.52 fof(f452,plain,(
% 0.68/0.52 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f202])).
% 0.68/0.52 fof(f453,plain,(
% 0.68/0.52 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 0.68/0.52 inference(cnf_transformation,[status(thm)],[f203])).
% 0.68/0.52 fof(f461,definition,(
% 0.68/0.52 sQ2_spl <=> (neq(sk2,nil))),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f462,plain,(
% 0.68/0.52 neq(sk2,nil)|~sQ2_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f461])).
% 0.68/0.52 fof(f464,plain,(
% 0.68/0.52 sQ2_spl),
% 0.68/0.52 inference(split_clause,[status(thm)],[f440,f461])).
% 0.68/0.52 fof(f465,definition,(
% 0.68/0.52 sQ3_spl <=> (neq(sk4,nil))),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f467,plain,(
% 0.68/0.52 ~neq(sk4,nil)|sQ3_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f465])).
% 0.68/0.52 fof(f469,definition,(
% 0.68/0.52 ![X0]: (sQ4_spl <=> (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)))),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f470,plain,(
% 0.68/0.52 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~sQ4_spl)),
% 0.68/0.52 inference(component_clause,[status(thm)],[f469])).
% 0.68/0.52 fof(f473,definition,(
% 0.68/0.52 sQ5_spl <=> (ssItem(sk5))),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f474,plain,(
% 0.68/0.52 ssItem(sk5)|~sQ5_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f473])).
% 0.68/0.52 fof(f477,definition,(
% 0.68/0.52 sQ6_spl <=> (ssList(sk6))),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f478,plain,(
% 0.68/0.52 ssList(sk6)|~sQ6_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f477])).
% 0.68/0.52 fof(f481,definition,(
% 0.68/0.52 sQ7_spl <=> (cons(sk5,nil)=sk3)),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f482,plain,(
% 0.68/0.52 cons(sk5,nil)=sk3|~sQ7_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f481])).
% 0.68/0.52 fof(f485,definition,(
% 0.68/0.52 sQ8_spl <=> (app(cons(sk5,nil),sk6)=sk4)),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f486,plain,(
% 0.68/0.52 app(cons(sk5,nil),sk6)=sk4|~sQ8_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f485])).
% 0.68/0.52 fof(f489,plain,(
% 0.68/0.52 sQ4_spl|~sQ3_spl),
% 0.68/0.52 inference(split_clause,[status(thm)],[f449,f469,f465])).
% 0.68/0.52 fof(f490,plain,(
% 0.68/0.52 sQ5_spl|~sQ3_spl),
% 0.68/0.52 inference(split_clause,[status(thm)],[f450,f473,f465])).
% 0.68/0.52 fof(f491,plain,(
% 0.68/0.52 sQ6_spl|~sQ3_spl),
% 0.68/0.52 inference(split_clause,[status(thm)],[f451,f477,f465])).
% 0.68/0.52 fof(f492,plain,(
% 0.68/0.52 sQ7_spl|~sQ3_spl),
% 0.68/0.52 inference(split_clause,[status(thm)],[f452,f481,f465])).
% 0.68/0.52 fof(f493,plain,(
% 0.68/0.52 sQ8_spl|~sQ3_spl),
% 0.68/0.52 inference(split_clause,[status(thm)],[f453,f485,f465])).
% 0.68/0.52 fof(f506,plain,(
% 0.68/0.52 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 0.68/0.52 inference(destructive_equality_resolution,[status(thm)],[f356])).
% 0.68/0.52 fof(f507,plain,(
% 0.68/0.52 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 0.68/0.52 inference(duplicate_literals_removal,[status(thm)],[f506])).
% 0.68/0.52 fof(f525,plain,(
% 0.68/0.52 neq(sk4,nil)|~sQ2_spl),
% 0.68/0.52 inference(forward_demodulation,[status(thm)],[f438,f462])).
% 0.68/0.52 fof(f526,plain,(
% 0.68/0.52 $false|~sQ2_spl|sQ3_spl),
% 0.68/0.52 inference(forward_subsumption_resolution,[status(thm)],[f467,f525])).
% 0.68/0.52 fof(f527,plain,(
% 0.68/0.52 ~sQ2_spl|sQ3_spl),
% 0.68/0.52 inference(contradiction_clause,[status(thm)],[f526])).
% 0.68/0.52 fof(f528,plain,(
% 0.68/0.52 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk4,X0)|~sQ4_spl)),
% 0.68/0.52 inference(forward_demodulation,[status(thm)],[f438,f470])).
% 0.68/0.52 fof(f529,plain,(
% 0.68/0.52 cons(sk5,nil)=sk1|~sQ7_spl),
% 0.68/0.52 inference(forward_demodulation,[status(thm)],[f439,f482])).
% 0.68/0.52 fof(f549,definition,(
% 0.68/0.52 sQ9_spl <=> (ssList(nil))),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f551,plain,(
% 0.68/0.52 ~ssList(nil)|sQ9_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f549])).
% 0.68/0.52 fof(f556,plain,(
% 0.68/0.52 $false|sQ9_spl),
% 0.68/0.52 inference(forward_subsumption_resolution,[status(thm)],[f551,f211])).
% 0.68/0.52 fof(f557,plain,(
% 0.68/0.52 sQ9_spl),
% 0.68/0.52 inference(contradiction_clause,[status(thm)],[f556])).
% 0.68/0.52 fof(f582,plain,(
% 0.68/0.52 app(sk1,sk6)=sk4|~sQ7_spl|~sQ8_spl),
% 0.68/0.52 inference(forward_demodulation,[status(thm)],[f529,f486])).
% 0.68/0.52 fof(f1030,plain,(
% 0.68/0.52 ![X0]: (~ssList(X0)|app(cons(sk5,nil),X0)=cons(sk5,X0)|~sQ5_spl)),
% 0.68/0.52 inference(resolution,[status(thm)],[f334,f474])).
% 0.68/0.52 fof(f1031,plain,(
% 0.68/0.52 ![X0]: (~ssList(X0)|app(sk1,X0)=cons(sk5,X0)|~sQ7_spl|~sQ5_spl)),
% 0.68/0.52 inference(forward_demodulation,[status(thm)],[f529,f1030])).
% 0.68/0.52 fof(f1869,plain,(
% 0.68/0.52 app(sk1,sk6)=cons(sk5,sk6)|~sQ7_spl|~sQ5_spl|~sQ6_spl),
% 0.68/0.52 inference(resolution,[status(thm)],[f1031,f478])).
% 0.68/0.52 fof(f1874,plain,(
% 0.68/0.52 sk4=cons(sk5,sk6)|~sQ8_spl|~sQ7_spl|~sQ5_spl|~sQ6_spl),
% 0.68/0.52 inference(forward_demodulation,[status(thm)],[f582,f1869])).
% 0.68/0.52 fof(f1879,plain,(
% 0.68/0.52 ~ssList(sk6)|~ssItem(sk5)|memberP(sk4,sk5)|~sQ8_spl|~sQ7_spl|~sQ5_spl|~sQ6_spl),
% 0.68/0.52 inference(paramodulation,[status(thm)],[f1874,f507])).
% 0.68/0.52 fof(f1886,definition,(
% 0.68/0.52 sQ72_spl <=> (memberP(sk4,sk5))),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f1887,plain,(
% 0.68/0.52 memberP(sk4,sk5)|~sQ72_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f1886])).
% 0.68/0.52 fof(f1889,plain,(
% 0.68/0.52 ~sQ6_spl|~sQ5_spl|sQ72_spl|~sQ8_spl|~sQ7_spl),
% 0.68/0.52 inference(split_clause,[status(thm)],[f1879,f477,f473,f1886,f485,f481])).
% 0.68/0.52 fof(f1891,plain,(
% 0.68/0.52 ~ssItem(sk5)|~cons(sk5,nil)=sk1|~sQ72_spl|~sQ4_spl),
% 0.68/0.52 inference(resolution,[status(thm)],[f1887,f528])).
% 0.68/0.52 fof(f1893,definition,(
% 0.68/0.52 sQ73_spl <=> (cons(sk5,nil)=sk1)),
% 0.68/0.52 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.68/0.52 fof(f1895,plain,(
% 0.68/0.52 ~cons(sk5,nil)=sk1|sQ73_spl),
% 0.68/0.52 inference(component_clause,[status(thm)],[f1893])).
% 0.68/0.52 fof(f1896,plain,(
% 0.68/0.52 ~sQ5_spl|~sQ73_spl|~sQ72_spl|~sQ4_spl),
% 0.68/0.52 inference(split_clause,[status(thm)],[f1891,f473,f1893,f1886,f469])).
% 0.68/0.52 fof(f1901,plain,(
% 0.68/0.52 ~sk1=sk1|~sQ7_spl|sQ73_spl),
% 0.68/0.52 inference(forward_demodulation,[status(thm)],[f529,f1895])).
% 0.68/0.52 fof(f1902,plain,(
% 0.68/0.52 $false|~sQ7_spl|sQ73_spl),
% 0.68/0.52 inference(trivial_equality_resolution,[status(thm)],[f1901])).
% 0.68/0.52 fof(f1903,plain,(
% 0.68/0.52 ~sQ7_spl|sQ73_spl),
% 0.68/0.52 inference(contradiction_clause,[status(thm)],[f1902])).
% 0.68/0.52 fof(f1904,plain,(
% 0.68/0.52 $false),
% 0.68/0.52 inference(sat_refutation,[status(thm)],[f464,f489,f490,f491,f492,f493,f527,f557,f1889,f1896,f1903])).
% 0.68/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.68/0.53 % Elapsed time: 0.156537 seconds
% 0.68/0.53 % CPU time: 0.888678 seconds
% 0.68/0.53 % Total memory used: 129.710 MB
% 0.68/0.53 % Net memory used: 128.612 MB
%------------------------------------------------------------------------------