%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC333-1 : 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 : n026.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 02:42:11 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC333-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 08:19:37 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f57,axiom,(
% 0.17/0.48 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f189,negated_conjecture,(
% 0.17/0.48 ssList(sk4) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f190,negated_conjecture,(
% 0.17/0.48 sk2 = sk4 ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f191,negated_conjecture,(
% 0.17/0.48 sk1 = sk3 ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f192,negated_conjecture,(
% 0.17/0.48 segmentP(sk4,sk3) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f193,negated_conjecture,(
% 0.17/0.48 totalorderedP(sk3) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f194,negated_conjecture,(
% 0.17/0.48 (![A]: (( ~ ssList(A)| ~ neq(sk3,A)| ~ segmentP(sk4,A)| ~ segmentP(A,sk3)| ~ totalorderedP(A) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f195,negated_conjecture,(
% 0.17/0.48 ( ssList(sk5)| ~ segmentP(sk2,sk1)| ~ totalorderedP(sk1) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f196,negated_conjecture,(
% 0.17/0.48 ( neq(sk1,sk5)| ~ segmentP(sk2,sk1)| ~ totalorderedP(sk1) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f197,negated_conjecture,(
% 0.17/0.48 ( segmentP(sk2,sk5)| ~ segmentP(sk2,sk1)| ~ totalorderedP(sk1) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f198,negated_conjecture,(
% 0.17/0.48 ( segmentP(sk5,sk1)| ~ segmentP(sk2,sk1)| ~ totalorderedP(sk1) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f199,negated_conjecture,(
% 0.17/0.48 ( totalorderedP(sk5)| ~ segmentP(sk2,sk1)| ~ totalorderedP(sk1) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f256,plain,(
% 0.17/0.48 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f57])).
% 0.17/0.48 fof(f433,plain,(
% 0.17/0.48 ssList(sk4)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f189])).
% 0.17/0.48 fof(f434,plain,(
% 0.17/0.48 sk2=sk4),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f190])).
% 0.17/0.48 fof(f435,plain,(
% 0.17/0.48 sk1=sk3),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f191])).
% 0.17/0.48 fof(f436,plain,(
% 0.17/0.48 segmentP(sk4,sk3)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f192])).
% 0.17/0.48 fof(f437,plain,(
% 0.17/0.48 totalorderedP(sk3)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f193])).
% 0.17/0.48 fof(f438,plain,(
% 0.17/0.48 ![X0]: (~ssList(X0)|~neq(sk3,X0)|~segmentP(sk4,X0)|~segmentP(X0,sk3)|~totalorderedP(X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f194])).
% 0.17/0.48 fof(f439,plain,(
% 0.17/0.48 ssList(sk5)|~segmentP(sk2,sk1)|~totalorderedP(sk1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f195])).
% 0.17/0.48 fof(f440,plain,(
% 0.17/0.48 neq(sk1,sk5)|~segmentP(sk2,sk1)|~totalorderedP(sk1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f196])).
% 0.17/0.48 fof(f441,plain,(
% 0.17/0.48 segmentP(sk2,sk5)|~segmentP(sk2,sk1)|~totalorderedP(sk1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f197])).
% 0.17/0.48 fof(f442,plain,(
% 0.17/0.48 segmentP(sk5,sk1)|~segmentP(sk2,sk1)|~totalorderedP(sk1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f198])).
% 0.17/0.48 fof(f443,plain,(
% 0.17/0.48 totalorderedP(sk5)|~segmentP(sk2,sk1)|~totalorderedP(sk1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f199])).
% 0.17/0.48 fof(f451,definition,(
% 0.17/0.48 sQ2_spl <=> (ssList(sk5))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f454,definition,(
% 0.17/0.48 sQ3_spl <=> (segmentP(sk2,sk1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f456,plain,(
% 0.17/0.48 ~segmentP(sk2,sk1)|sQ3_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f454])).
% 0.17/0.48 fof(f457,definition,(
% 0.17/0.48 sQ4_spl <=> (totalorderedP(sk1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f459,plain,(
% 0.17/0.48 ~totalorderedP(sk1)|sQ4_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f457])).
% 0.17/0.48 fof(f460,plain,(
% 0.17/0.48 sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f439,f451,f454,f457])).
% 0.17/0.48 fof(f461,definition,(
% 0.17/0.48 sQ5_spl <=> (neq(sk1,sk5))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f462,plain,(
% 0.17/0.49 neq(sk1,sk5)|~sQ5_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f461])).
% 0.17/0.49 fof(f464,plain,(
% 0.17/0.49 sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f440,f461,f454,f457])).
% 0.17/0.49 fof(f465,definition,(
% 0.17/0.49 sQ6_spl <=> (segmentP(sk2,sk5))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f466,plain,(
% 0.17/0.49 segmentP(sk2,sk5)|~sQ6_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f465])).
% 0.17/0.49 fof(f468,plain,(
% 0.17/0.49 sQ6_spl|~sQ3_spl|~sQ4_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f441,f465,f454,f457])).
% 0.17/0.49 fof(f469,definition,(
% 0.17/0.49 sQ7_spl <=> (segmentP(sk5,sk1))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f470,plain,(
% 0.17/0.49 segmentP(sk5,sk1)|~sQ7_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f469])).
% 0.17/0.49 fof(f472,plain,(
% 0.17/0.49 sQ7_spl|~sQ3_spl|~sQ4_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f442,f469,f454,f457])).
% 0.17/0.49 fof(f473,definition,(
% 0.17/0.49 sQ8_spl <=> (totalorderedP(sk5))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f476,plain,(
% 0.17/0.49 sQ8_spl|~sQ3_spl|~sQ4_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f443,f473,f454,f457])).
% 0.17/0.49 fof(f508,plain,(
% 0.17/0.49 ~totalorderedP(sk3)|sQ4_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f435,f459])).
% 0.17/0.49 fof(f509,plain,(
% 0.17/0.49 $false|sQ4_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f508,f437])).
% 0.17/0.49 fof(f510,plain,(
% 0.17/0.49 sQ4_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f509])).
% 0.17/0.49 fof(f511,plain,(
% 0.17/0.49 ~segmentP(sk4,sk1)|sQ3_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f434,f456])).
% 0.17/0.49 fof(f512,plain,(
% 0.17/0.49 ~segmentP(sk4,sk3)|sQ3_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f435,f511])).
% 0.17/0.49 fof(f514,plain,(
% 0.17/0.49 $false|sQ3_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f512,f436])).
% 0.17/0.49 fof(f515,plain,(
% 0.17/0.49 sQ3_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f514])).
% 0.17/0.49 fof(f516,plain,(
% 0.17/0.49 neq(sk3,sk5)|~sQ5_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f435,f462])).
% 0.17/0.49 fof(f517,plain,(
% 0.17/0.49 segmentP(sk4,sk5)|~sQ6_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f434,f466])).
% 0.17/0.49 fof(f518,plain,(
% 0.17/0.49 segmentP(sk5,sk3)|~sQ7_spl),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f435,f470])).
% 0.17/0.49 fof(f525,plain,(
% 0.17/0.49 segmentP(sk4,sk4)),
% 0.17/0.49 inference(resolution,[status(thm)],[f256,f433])).
% 0.17/0.49 fof(f541,plain,(
% 0.17/0.49 ~ssList(sk5)|~neq(sk3,sk5)|~segmentP(sk4,sk5)|~totalorderedP(sk5)|~sQ7_spl),
% 0.17/0.49 inference(resolution,[status(thm)],[f438,f518])).
% 0.17/0.49 fof(f543,definition,(
% 0.17/0.49 sQ9_spl <=> (ssList(sk4))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f545,plain,(
% 0.17/0.49 ~ssList(sk4)|sQ9_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f543])).
% 0.17/0.49 fof(f569,definition,(
% 0.17/0.49 sQ17_spl <=> (neq(sk3,sk5))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f571,plain,(
% 0.17/0.49 ~neq(sk3,sk5)|sQ17_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f569])).
% 0.17/0.49 fof(f589,definition,(
% 0.17/0.49 sQ23_spl <=> (segmentP(sk4,sk5))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f591,plain,(
% 0.17/0.49 ~segmentP(sk4,sk5)|sQ23_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f589])).
% 0.17/0.49 fof(f592,plain,(
% 0.17/0.49 ~sQ2_spl|~sQ17_spl|~sQ23_spl|~sQ8_spl|~sQ7_spl),
% 0.17/0.49 inference(split_clause,[status(thm)],[f541,f451,f569,f589,f473,f469])).
% 0.17/0.49 fof(f593,definition,(
% 0.17/0.49 sQ24_spl <=> (segmentP(sk4,sk4))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.17/0.49 fof(f595,plain,(
% 0.17/0.49 ~segmentP(sk4,sk4)|sQ24_spl),
% 0.17/0.49 inference(component_clause,[status(thm)],[f593])).
% 0.17/0.49 fof(f597,plain,(
% 0.17/0.49 $false|~sQ5_spl|sQ17_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f571,f516])).
% 0.17/0.49 fof(f598,plain,(
% 0.17/0.49 ~sQ5_spl|sQ17_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f597])).
% 0.17/0.49 fof(f599,plain,(
% 0.17/0.49 $false|sQ9_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f545,f433])).
% 0.17/0.49 fof(f600,plain,(
% 0.17/0.49 sQ9_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f599])).
% 0.17/0.49 fof(f601,plain,(
% 0.17/0.49 $false|sQ24_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f595,f525])).
% 0.17/0.49 fof(f602,plain,(
% 0.17/0.49 sQ24_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f601])).
% 0.17/0.49 fof(f603,plain,(
% 0.17/0.49 $false|~sQ6_spl|sQ23_spl),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f591,f517])).
% 0.17/0.49 fof(f604,plain,(
% 0.17/0.49 ~sQ6_spl|sQ23_spl),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f603])).
% 0.17/0.49 fof(f605,plain,(
% 0.17/0.49 $false),
% 0.17/0.49 inference(sat_refutation,[status(thm)],[f460,f464,f468,f472,f476,f510,f515,f592,f598,f600,f602,f604])).
% 0.17/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.51 % Elapsed time: 0.064739 seconds
% 0.17/0.51 % CPU time: 0.160027 seconds
% 0.17/0.51 % Total memory used: 54.342 MB
% 0.17/0.51 % Net memory used: 54.278 MB
%------------------------------------------------------------------------------