%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC086-1 : 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 02:41:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC086-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:54:54 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f57,axiom,(
% 0.13/0.40 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f115,axiom,(
% 0.13/0.40 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f188,negated_conjecture,(
% 0.13/0.40 ssList(sk3) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f189,negated_conjecture,(
% 0.13/0.40 ssList(sk4) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f190,negated_conjecture,(
% 0.13/0.40 sk2 = sk4 ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f191,negated_conjecture,(
% 0.13/0.40 sk1 = sk3 ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f192,negated_conjecture,(
% 0.13/0.40 neq(sk2,nil) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f193,negated_conjecture,(
% 0.13/0.40 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f194,negated_conjecture,(
% 0.13/0.40 ( nil = sk4| neq(sk3,nil) ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f195,negated_conjecture,(
% 0.13/0.40 ( nil = sk4| segmentP(sk4,sk3) ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f254,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f57])).
% 0.13/0.40 fof(f318,plain,(
% 0.13/0.40 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f115])).
% 0.13/0.40 fof(f319,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f318])).
% 0.13/0.40 fof(f430,plain,(
% 0.13/0.40 ssList(sk3)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f188])).
% 0.13/0.40 fof(f431,plain,(
% 0.13/0.40 ssList(sk4)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f189])).
% 0.13/0.40 fof(f432,plain,(
% 0.13/0.40 sk2=sk4),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.40 fof(f433,plain,(
% 0.13/0.40 sk1=sk3),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.40 fof(f434,plain,(
% 0.13/0.40 neq(sk2,nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.40 fof(f435,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.40 fof(f436,plain,(
% 0.13/0.40 nil=sk4|neq(sk3,nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/0.40 fof(f437,plain,(
% 0.13/0.40 nil=sk4|segmentP(sk4,sk3)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f195])).
% 0.13/0.40 fof(f447,definition,(
% 0.13/0.40 sQ2_spl <=> (nil=sk4)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f448,plain,(
% 0.13/0.40 nil=sk4|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f447])).
% 0.13/0.40 fof(f450,definition,(
% 0.13/0.40 sQ3_spl <=> (neq(sk3,nil))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f453,plain,(
% 0.13/0.40 sQ2_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f436,f447,f450])).
% 0.13/0.40 fof(f454,definition,(
% 0.13/0.40 sQ4_spl <=> (segmentP(sk4,sk3))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f455,plain,(
% 0.13/0.40 segmentP(sk4,sk3)|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f454])).
% 0.13/0.40 fof(f457,plain,(
% 0.13/0.40 sQ2_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f437,f447,f454])).
% 0.13/0.40 fof(f470,plain,(
% 0.13/0.40 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f319])).
% 0.13/0.40 fof(f471,plain,(
% 0.13/0.40 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.13/0.40 inference(duplicate_literals_removal,[status(thm)],[f470])).
% 0.13/0.40 fof(f498,plain,(
% 0.13/0.40 neq(sk4,nil)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f432,f434])).
% 0.13/0.40 fof(f499,plain,(
% 0.13/0.40 neq(sk4,sk4)|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f448,f498])).
% 0.13/0.40 fof(f501,plain,(
% 0.13/0.40 ~ssList(sk4)|~sQ2_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f471,f499])).
% 0.13/0.40 fof(f502,plain,(
% 0.13/0.40 $false|~sQ2_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f501,f431])).
% 0.13/0.40 fof(f503,plain,(
% 0.13/0.40 ~sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f502])).
% 0.13/0.40 fof(f506,plain,(
% 0.13/0.40 segmentP(sk3,sk3)),
% 0.13/0.40 inference(resolution,[status(thm)],[f430,f254])).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk1,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f432,f435])).
% 0.13/0.40 fof(f516,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk3,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f433,f515])).
% 0.13/0.40 fof(f518,plain,(
% 0.13/0.40 ~ssList(sk3)|~neq(sk3,nil)|~segmentP(sk3,sk3)|~sQ4_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f516,f455])).
% 0.13/0.40 fof(f531,definition,(
% 0.13/0.40 sQ9_spl <=> (ssList(sk3))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f533,plain,(
% 0.13/0.40 ~ssList(sk3)|sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f531])).
% 0.13/0.40 fof(f534,definition,(
% 0.13/0.40 sQ10_spl <=> (segmentP(sk3,sk3))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f536,plain,(
% 0.13/0.40 ~segmentP(sk3,sk3)|sQ10_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f534])).
% 0.13/0.40 fof(f537,plain,(
% 0.13/0.40 ~sQ9_spl|~sQ3_spl|~sQ10_spl|~sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f518,f531,f450,f534,f454])).
% 0.13/0.40 fof(f554,plain,(
% 0.13/0.40 $false|sQ9_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f533,f430])).
% 0.13/0.40 fof(f555,plain,(
% 0.13/0.40 sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f554])).
% 0.13/0.40 fof(f593,plain,(
% 0.13/0.40 $false|sQ10_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f536,f506])).
% 0.13/0.40 fof(f594,plain,(
% 0.13/0.40 sQ10_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f593])).
% 0.13/0.40 fof(f595,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f453,f457,f503,f537,f555,f594])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.064491 seconds
% 0.13/0.43 % CPU time: 0.169899 seconds
% 0.13/0.43 % Total memory used: 108.854 MB
% 0.13/0.43 % Net memory used: 108.693 MB
%------------------------------------------------------------------------------