%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC422-1 : 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 : n017.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 02:42:26 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC422-1 : 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 : n017.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 08:18:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f8,axiom,(
% 0.10/0.42 ssList(nil) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f190,negated_conjecture,(
% 0.10/0.42 sk2 = sk4 ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f191,negated_conjecture,(
% 0.10/0.42 sk1 = sk3 ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f192,negated_conjecture,(
% 0.10/0.42 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f200,negated_conjecture,(
% 0.10/0.42 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk2| app(app(C,cons(A,nil)),B) != sk1| ~ neq(sk4,nil) ) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f201,negated_conjecture,(
% 0.10/0.42 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f202,negated_conjecture,(
% 0.10/0.42 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f203,negated_conjecture,(
% 0.10/0.42 ( ssList(sk7)| ~ neq(sk4,nil) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f204,negated_conjecture,(
% 0.10/0.42 ( app(app(sk6,cons(sk5,nil)),sk7) = sk4| ~ neq(sk4,nil) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f205,negated_conjecture,(
% 0.10/0.42 ( app(app(sk7,cons(sk5,nil)),sk6) = sk3| ~ neq(sk4,nil) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f213,plain,(
% 0.10/0.42 ssList(nil)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.42 fof(f440,plain,(
% 0.10/0.42 sk2=sk4),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/0.42 fof(f441,plain,(
% 0.10/0.42 sk1=sk3),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.42 fof(f442,plain,(
% 0.10/0.42 neq(sk2,nil)|neq(sk2,nil)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f192])).
% 0.10/0.42 fof(f451,plain,(
% 0.10/0.42 (![A,B,C]: ((((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk2)|~app(app(C,cons(A,nil)),B)=sk1))|~neq(sk4,nil)),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f200])).
% 0.10/0.42 fof(f452,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(app(X2,cons(X0,nil)),X1)=sk1|~neq(sk4,nil))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f451])).
% 0.10/0.42 fof(f453,plain,(
% 0.10/0.42 ssItem(sk5)|~neq(sk4,nil)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f201])).
% 0.10/0.42 fof(f454,plain,(
% 0.10/0.42 ssList(sk6)|~neq(sk4,nil)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f202])).
% 0.10/0.42 fof(f455,plain,(
% 0.10/0.42 ssList(sk7)|~neq(sk4,nil)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f203])).
% 0.10/0.42 fof(f456,plain,(
% 0.10/0.42 app(app(sk6,cons(sk5,nil)),sk7)=sk4|~neq(sk4,nil)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f204])).
% 0.10/0.42 fof(f457,plain,(
% 0.10/0.42 app(app(sk7,cons(sk5,nil)),sk6)=sk3|~neq(sk4,nil)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f205])).
% 0.10/0.42 fof(f465,definition,(
% 0.10/0.42 sQ2_spl <=> (neq(sk2,nil))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f466,plain,(
% 0.10/0.42 neq(sk2,nil)|~sQ2_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f465])).
% 0.10/0.42 fof(f468,plain,(
% 0.10/0.42 sQ2_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f442,f465])).
% 0.10/0.42 fof(f469,definition,(
% 0.10/0.42 sQ3_spl <=> (neq(sk4,nil))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f471,plain,(
% 0.10/0.42 ~neq(sk4,nil)|sQ3_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f469])).
% 0.10/0.42 fof(f473,definition,(
% 0.10/0.42 ![X0,X1,X2]: (sQ4_spl <=> (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(app(X2,cons(X0,nil)),X1)=sk1))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f474,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(app(X2,cons(X0,nil)),X1)=sk1|~sQ4_spl)),
% 0.10/0.42 inference(component_clause,[status(thm)],[f473])).
% 0.10/0.42 fof(f477,definition,(
% 0.10/0.42 sQ5_spl <=> (ssItem(sk5))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f481,definition,(
% 0.10/0.42 sQ6_spl <=> (ssList(sk6))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f485,definition,(
% 0.10/0.42 sQ7_spl <=> (ssList(sk7))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f489,definition,(
% 0.10/0.42 sQ8_spl <=> (app(app(sk6,cons(sk5,nil)),sk7)=sk4)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f493,definition,(
% 0.10/0.42 sQ9_spl <=> (app(app(sk7,cons(sk5,nil)),sk6)=sk3)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f494,plain,(
% 0.10/0.42 app(app(sk7,cons(sk5,nil)),sk6)=sk3|~sQ9_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f493])).
% 0.10/0.42 fof(f497,plain,(
% 0.10/0.42 sQ4_spl|~sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f452,f473,f469])).
% 0.10/0.42 fof(f498,plain,(
% 0.10/0.42 sQ5_spl|~sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f453,f477,f469])).
% 0.10/0.42 fof(f499,plain,(
% 0.10/0.42 sQ6_spl|~sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f454,f481,f469])).
% 0.10/0.42 fof(f500,plain,(
% 0.10/0.42 sQ7_spl|~sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f455,f485,f469])).
% 0.10/0.42 fof(f501,plain,(
% 0.10/0.42 sQ8_spl|~sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f456,f489,f469])).
% 0.10/0.42 fof(f502,plain,(
% 0.10/0.42 sQ9_spl|~sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f457,f493,f469])).
% 0.10/0.42 fof(f534,plain,(
% 0.10/0.42 neq(sk4,nil)|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f440,f466])).
% 0.10/0.42 fof(f535,plain,(
% 0.10/0.42 $false|~sQ2_spl|sQ3_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f471,f534])).
% 0.10/0.42 fof(f536,plain,(
% 0.10/0.42 ~sQ2_spl|sQ3_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f535])).
% 0.10/0.42 fof(f537,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk4|~app(app(X2,cons(X0,nil)),X1)=sk1|~sQ4_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f440,f474])).
% 0.10/0.42 fof(f538,plain,(
% 0.10/0.42 app(app(sk7,cons(sk5,nil)),sk6)=sk1|~sQ9_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f441,f494])).
% 0.10/0.42 fof(f557,definition,(
% 0.10/0.42 sQ10_spl <=> (ssList(nil))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f559,plain,(
% 0.10/0.42 ~ssList(nil)|sQ10_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f557])).
% 0.10/0.42 fof(f623,plain,(
% 0.10/0.42 $false|sQ10_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f559,f213])).
% 0.10/0.42 fof(f624,plain,(
% 0.10/0.42 sQ10_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f623])).
% 0.10/0.42 fof(f687,plain,(
% 0.10/0.42 ~ssItem(sk5)|~ssList(sk6)|~ssList(sk7)|~app(app(sk6,cons(sk5,nil)),sk7)=sk4|~sQ9_spl|~sQ4_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f538,f537])).
% 0.10/0.42 fof(f690,plain,(
% 0.10/0.42 ~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ4_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f687,f477,f481,f485,f489,f493,f473])).
% 0.10/0.42 fof(f699,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(sat_refutation,[status(thm)],[f468,f497,f498,f499,f500,f501,f502,f536,f624,f690])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.069313 seconds
% 0.10/0.44 % CPU time: 0.208679 seconds
% 0.10/0.44 % Total memory used: 89.527 MB
% 0.10/0.44 % Net memory used: 89.393 MB
%------------------------------------------------------------------------------