%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC080-1 : 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 : n005.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 02:41:31 PM UTC 2026
% Result : Unsatisfiable 4.70s 1.05s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC080-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:53:47 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 4.70/1.05 % Refutation found
% 4.70/1.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.70/1.05 % SZS output start CNFRefutation for theBenchmark
% 4.70/1.05 fof(f8,axiom,(
% 4.70/1.05 ssList(nil) ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f51,axiom,(
% 4.70/1.05 (![U,V]: (ssList(skaf45(U,V)) ))),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f74,axiom,(
% 4.70/1.05 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f85,axiom,(
% 4.70/1.05 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f132,axiom,(
% 4.70/1.05 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f173,axiom,(
% 4.70/1.05 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f186,negated_conjecture,(
% 4.70/1.05 ssList(sk1) ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f189,negated_conjecture,(
% 4.70/1.05 ssList(sk4) ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f190,negated_conjecture,(
% 4.70/1.05 sk2 = sk4 ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f191,negated_conjecture,(
% 4.70/1.05 sk1 = sk3 ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f192,negated_conjecture,(
% 4.70/1.05 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f199,negated_conjecture,(
% 4.70/1.05 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A)| ~ neq(sk4,nil) ) ))),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f200,negated_conjecture,(
% 4.70/1.05 ( ssList(sk5)| ~ neq(sk4,nil) ) ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f201,negated_conjecture,(
% 4.70/1.05 ( neq(sk5,nil)| ~ neq(sk4,nil) ) ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f202,negated_conjecture,(
% 4.70/1.05 ( frontsegP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f203,negated_conjecture,(
% 4.70/1.05 ( frontsegP(sk3,sk5)| ~ neq(sk4,nil) ) ),
% 4.70/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.70/1.05 fof(f211,plain,(
% 4.70/1.05 ssList(nil)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f8])).
% 4.70/1.05 fof(f254,plain,(
% 4.70/1.05 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f51])).
% 4.70/1.05 fof(f278,plain,(
% 4.70/1.05 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f74])).
% 4.70/1.05 fof(f289,plain,(
% 4.70/1.05 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f85])).
% 4.70/1.05 fof(f348,plain,(
% 4.70/1.05 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f132])).
% 4.70/1.05 fof(f409,plain,(
% 4.70/1.05 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 4.70/1.05 inference(miniscoping,[status(thm)],[f173])).
% 4.70/1.05 fof(f410,plain,(
% 4.70/1.05 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f409])).
% 4.70/1.05 fof(f434,plain,(
% 4.70/1.05 ssList(sk1)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f186])).
% 4.70/1.05 fof(f437,plain,(
% 4.70/1.05 ssList(sk4)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f189])).
% 4.70/1.05 fof(f438,plain,(
% 4.70/1.05 sk2=sk4),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f190])).
% 4.70/1.05 fof(f439,plain,(
% 4.70/1.05 sk1=sk3),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f191])).
% 4.70/1.05 fof(f440,plain,(
% 4.70/1.05 neq(sk2,nil)|neq(sk2,nil)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f192])).
% 4.70/1.05 fof(f448,plain,(
% 4.70/1.05 (![A]: (((~ssList(A)|~neq(A,nil))|~segmentP(sk2,A))|~segmentP(sk1,A)))|~neq(sk4,nil)),
% 4.70/1.05 inference(miniscoping,[status(thm)],[f199])).
% 4.70/1.05 fof(f449,plain,(
% 4.70/1.05 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~neq(sk4,nil))),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f448])).
% 4.70/1.05 fof(f450,plain,(
% 4.70/1.05 ssList(sk5)|~neq(sk4,nil)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f200])).
% 4.70/1.05 fof(f451,plain,(
% 4.70/1.05 neq(sk5,nil)|~neq(sk4,nil)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f201])).
% 4.70/1.05 fof(f452,plain,(
% 4.70/1.05 frontsegP(sk4,sk5)|~neq(sk4,nil)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f202])).
% 4.70/1.05 fof(f453,plain,(
% 4.70/1.05 frontsegP(sk3,sk5)|~neq(sk4,nil)),
% 4.70/1.05 inference(cnf_transformation,[status(thm)],[f203])).
% 4.70/1.05 fof(f461,definition,(
% 4.70/1.05 sQ2_spl <=> (neq(sk2,nil))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f462,plain,(
% 4.70/1.05 neq(sk2,nil)|~sQ2_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f461])).
% 4.70/1.05 fof(f464,plain,(
% 4.70/1.05 sQ2_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f440,f461])).
% 4.70/1.05 fof(f465,definition,(
% 4.70/1.05 sQ3_spl <=> (neq(sk4,nil))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f467,plain,(
% 4.70/1.05 ~neq(sk4,nil)|sQ3_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f465])).
% 4.70/1.05 fof(f469,definition,(
% 4.70/1.05 ![X0]: (sQ4_spl <=> (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f470,plain,(
% 4.70/1.05 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~sQ4_spl)),
% 4.70/1.05 inference(component_clause,[status(thm)],[f469])).
% 4.70/1.05 fof(f473,definition,(
% 4.70/1.05 sQ5_spl <=> (ssList(sk5))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f474,plain,(
% 4.70/1.05 ssList(sk5)|~sQ5_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f473])).
% 4.70/1.05 fof(f477,definition,(
% 4.70/1.05 sQ6_spl <=> (neq(sk5,nil))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f478,plain,(
% 4.70/1.05 neq(sk5,nil)|~sQ6_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f477])).
% 4.70/1.05 fof(f481,definition,(
% 4.70/1.05 sQ7_spl <=> (frontsegP(sk4,sk5))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f482,plain,(
% 4.70/1.05 frontsegP(sk4,sk5)|~sQ7_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f481])).
% 4.70/1.05 fof(f485,definition,(
% 4.70/1.05 sQ8_spl <=> (frontsegP(sk3,sk5))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f486,plain,(
% 4.70/1.05 frontsegP(sk3,sk5)|~sQ8_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f485])).
% 4.70/1.05 fof(f489,plain,(
% 4.70/1.05 sQ4_spl|~sQ3_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f449,f469,f465])).
% 4.70/1.05 fof(f490,plain,(
% 4.70/1.05 sQ5_spl|~sQ3_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f450,f473,f465])).
% 4.70/1.05 fof(f491,plain,(
% 4.70/1.05 sQ6_spl|~sQ3_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f451,f477,f465])).
% 4.70/1.05 fof(f492,plain,(
% 4.70/1.05 sQ7_spl|~sQ3_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f452,f481,f465])).
% 4.70/1.05 fof(f493,plain,(
% 4.70/1.05 sQ8_spl|~sQ3_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f453,f485,f465])).
% 4.70/1.05 fof(f514,plain,(
% 4.70/1.05 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 4.70/1.05 inference(destructive_equality_resolution,[status(thm)],[f410])).
% 4.70/1.05 fof(f527,plain,(
% 4.70/1.05 neq(sk4,nil)|~sQ2_spl),
% 4.70/1.05 inference(forward_demodulation,[status(thm)],[f438,f462])).
% 4.70/1.05 fof(f528,plain,(
% 4.70/1.05 $false|~sQ2_spl|sQ3_spl),
% 4.70/1.05 inference(forward_subsumption_resolution,[status(thm)],[f467,f527])).
% 4.70/1.05 fof(f529,plain,(
% 4.70/1.05 ~sQ2_spl|sQ3_spl),
% 4.70/1.05 inference(contradiction_clause,[status(thm)],[f528])).
% 4.70/1.05 fof(f531,plain,(
% 4.70/1.05 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk4,X0)|~segmentP(sk1,X0)|~sQ4_spl)),
% 4.70/1.05 inference(forward_demodulation,[status(thm)],[f438,f470])).
% 4.70/1.05 fof(f532,plain,(
% 4.70/1.05 frontsegP(sk1,sk5)|~sQ8_spl),
% 4.70/1.05 inference(forward_demodulation,[status(thm)],[f439,f486])).
% 4.70/1.05 fof(f533,plain,(
% 4.70/1.05 ~ssList(sk5)|~segmentP(sk4,sk5)|~segmentP(sk1,sk5)|~sQ4_spl|~sQ6_spl),
% 4.70/1.05 inference(resolution,[status(thm)],[f531,f478])).
% 4.70/1.05 fof(f535,definition,(
% 4.70/1.05 sQ9_spl <=> (segmentP(sk4,sk5))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f538,definition,(
% 4.70/1.05 sQ10_spl <=> (segmentP(sk1,sk5))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f541,plain,(
% 4.70/1.05 ~sQ5_spl|~sQ9_spl|~sQ10_spl|~sQ4_spl|~sQ6_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f533,f473,f535,f538,f469,f477])).
% 4.70/1.05 fof(f542,definition,(
% 4.70/1.05 sQ11_spl <=> (ssList(sk4))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f544,plain,(
% 4.70/1.05 ~ssList(sk4)|sQ11_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f542])).
% 4.70/1.05 fof(f554,definition,(
% 4.70/1.05 sQ14_spl <=> (ssList(nil))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f556,plain,(
% 4.70/1.05 ~ssList(nil)|sQ14_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f554])).
% 4.70/1.05 fof(f562,plain,(
% 4.70/1.05 $false|sQ14_spl),
% 4.70/1.05 inference(forward_subsumption_resolution,[status(thm)],[f556,f211])).
% 4.70/1.05 fof(f563,plain,(
% 4.70/1.05 sQ14_spl),
% 4.70/1.05 inference(contradiction_clause,[status(thm)],[f562])).
% 4.70/1.05 fof(f621,definition,(
% 4.70/1.05 sQ24_spl <=> (ssList(sk1))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f623,plain,(
% 4.70/1.05 ~ssList(sk1)|sQ24_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f621])).
% 4.70/1.05 fof(f639,plain,(
% 4.70/1.05 $false|sQ11_spl),
% 4.70/1.05 inference(forward_subsumption_resolution,[status(thm)],[f544,f437])).
% 4.70/1.05 fof(f640,plain,(
% 4.70/1.05 sQ11_spl),
% 4.70/1.05 inference(contradiction_clause,[status(thm)],[f639])).
% 4.70/1.05 fof(f762,plain,(
% 4.70/1.05 $false|sQ24_spl),
% 4.70/1.05 inference(forward_subsumption_resolution,[status(thm)],[f623,f434])).
% 4.70/1.05 fof(f763,plain,(
% 4.70/1.05 sQ24_spl),
% 4.70/1.05 inference(contradiction_clause,[status(thm)],[f762])).
% 4.70/1.05 fof(f979,plain,(
% 4.70/1.05 ![X0,X1,X2]: (~ssList(X0)|~ssList(app(X1,X2))|~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 4.70/1.05 inference(resolution,[status(thm)],[f289,f514])).
% 4.70/1.05 fof(f981,plain,(
% 4.70/1.05 ![X0,X1,X2]: (~ssList(X0)|~ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 4.70/1.05 inference(duplicate_literals_removal,[status(thm)],[f979])).
% 4.70/1.05 fof(f982,plain,(
% 4.70/1.05 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 4.70/1.05 inference(forward_subsumption_resolution,[status(thm)],[f981,f289])).
% 4.70/1.05 fof(f1398,plain,(
% 4.70/1.05 ~ssList(sk5)|~ssList(sk4)|app(sk5,skaf45(sk4,sk5))=sk4|~sQ7_spl),
% 4.70/1.05 inference(resolution,[status(thm)],[f348,f482])).
% 4.70/1.05 fof(f1399,plain,(
% 4.70/1.05 ~ssList(sk5)|~ssList(sk1)|app(sk5,skaf45(sk1,sk5))=sk1|~sQ8_spl),
% 4.70/1.05 inference(resolution,[status(thm)],[f348,f532])).
% 4.70/1.05 fof(f1414,definition,(
% 4.70/1.05 sQ79_spl <=> (app(sk5,skaf45(sk4,sk5))=sk4)),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f1415,plain,(
% 4.70/1.05 app(sk5,skaf45(sk4,sk5))=sk4|~sQ79_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f1414])).
% 4.70/1.05 fof(f1417,plain,(
% 4.70/1.05 ~sQ5_spl|~sQ11_spl|sQ79_spl|~sQ7_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f1398,f473,f542,f1414,f481])).
% 4.70/1.05 fof(f1418,definition,(
% 4.70/1.05 sQ80_spl <=> (app(sk5,skaf45(sk1,sk5))=sk1)),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f1419,plain,(
% 4.70/1.05 app(sk5,skaf45(sk1,sk5))=sk1|~sQ80_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f1418])).
% 4.70/1.05 fof(f1421,plain,(
% 4.70/1.05 ~sQ5_spl|~sQ24_spl|sQ80_spl|~sQ8_spl),
% 4.70/1.05 inference(split_clause,[status(thm)],[f1399,f473,f621,f1418,f485])).
% 4.70/1.05 fof(f1434,definition,(
% 4.70/1.05 sQ82_spl <=> (ssList(skaf45(sk4,sk5)))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f1436,plain,(
% 4.70/1.05 ~ssList(skaf45(sk4,sk5))|sQ82_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f1434])).
% 4.70/1.05 fof(f1444,plain,(
% 4.70/1.05 $false|sQ82_spl),
% 4.70/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1436,f254])).
% 4.70/1.05 fof(f1445,plain,(
% 4.70/1.05 sQ82_spl),
% 4.70/1.05 inference(contradiction_clause,[status(thm)],[f1444])).
% 4.70/1.05 fof(f1450,definition,(
% 4.70/1.05 sQ84_spl <=> (ssList(skaf45(sk1,sk5)))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f1452,plain,(
% 4.70/1.05 ~ssList(skaf45(sk1,sk5))|sQ84_spl),
% 4.70/1.05 inference(component_clause,[status(thm)],[f1450])).
% 4.70/1.05 fof(f1460,plain,(
% 4.70/1.05 $false|sQ84_spl),
% 4.70/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1452,f254])).
% 4.70/1.05 fof(f1461,plain,(
% 4.70/1.05 sQ84_spl),
% 4.70/1.05 inference(contradiction_clause,[status(thm)],[f1460])).
% 4.70/1.05 fof(f2398,plain,(
% 4.70/1.05 app(nil,sk5)=sk5|~sQ5_spl),
% 4.70/1.05 inference(resolution,[status(thm)],[f278,f474])).
% 4.70/1.05 fof(f2523,definition,(
% 4.70/1.05 sQ190_spl <=> (ssList(skaf45(sk4,sk4)))),
% 4.70/1.05 introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition])).
% 4.70/1.05 fof(f2525,plain,(
% 4.70/1.05 ~ssList(skaf45(sk4,sk4))|sQ190_spl),
% 4.70/1.06 inference(component_clause,[status(thm)],[f2523])).
% 4.70/1.06 fof(f2535,plain,(
% 4.70/1.06 $false|sQ190_spl),
% 4.70/1.06 inference(forward_subsumption_resolution,[status(thm)],[f2525,f254])).
% 4.70/1.06 fof(f2536,plain,(
% 4.70/1.06 sQ190_spl),
% 4.70/1.06 inference(contradiction_clause,[status(thm)],[f2535])).
% 4.70/1.06 fof(f3231,definition,(
% 4.70/1.06 sQ304_spl <=> (ssList(skaf45(sk5,sk5)))),
% 4.70/1.06 introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition])).
% 4.70/1.06 fof(f3233,plain,(
% 4.70/1.06 ~ssList(skaf45(sk5,sk5))|sQ304_spl),
% 4.70/1.06 inference(component_clause,[status(thm)],[f3231])).
% 4.70/1.06 fof(f3247,plain,(
% 4.70/1.06 $false|sQ304_spl),
% 4.70/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3233,f254])).
% 4.70/1.06 fof(f3248,plain,(
% 4.70/1.06 sQ304_spl),
% 4.70/1.06 inference(contradiction_clause,[status(thm)],[f3247])).
% 4.70/1.06 fof(f3257,definition,(
% 4.70/1.06 sQ307_spl <=> (ssList(skaf45(sk1,sk1)))),
% 4.70/1.06 introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition])).
% 4.70/1.06 fof(f3259,plain,(
% 4.70/1.06 ~ssList(skaf45(sk1,sk1))|sQ307_spl),
% 4.70/1.06 inference(component_clause,[status(thm)],[f3257])).
% 4.70/1.06 fof(f3273,plain,(
% 4.70/1.06 $false|sQ307_spl),
% 4.70/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3259,f254])).
% 4.70/1.06 fof(f3274,plain,(
% 4.70/1.06 sQ307_spl),
% 4.70/1.06 inference(contradiction_clause,[status(thm)],[f3273])).
% 4.70/1.06 fof(f3327,plain,(
% 4.70/1.06 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk5)|segmentP(app(sk5,X0),sk5)|~sQ5_spl)),
% 4.70/1.06 inference(paramodulation,[status(thm)],[f2398,f982])).
% 4.70/1.06 fof(f3404,definition,(
% 4.70/1.06 ![X0]: (sQ327_spl <=> (~ssList(X0)|segmentP(app(sk5,X0),sk5)))),
% 4.70/1.06 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 4.70/1.06 fof(f3405,plain,(
% 4.70/1.06 ![X0]: (~ssList(X0)|segmentP(app(sk5,X0),sk5)|~sQ327_spl)),
% 4.70/1.06 inference(component_clause,[status(thm)],[f3404])).
% 4.70/1.06 fof(f3407,plain,(
% 4.70/1.06 sQ327_spl|~sQ14_spl|~sQ5_spl),
% 4.70/1.06 inference(split_clause,[status(thm)],[f3327,f3404,f554,f473])).
% 4.70/1.06 fof(f3874,plain,(
% 4.70/1.06 ~ssList(skaf45(sk1,sk5))|segmentP(sk1,sk5)|~sQ327_spl|~sQ80_spl),
% 4.70/1.06 inference(paramodulation,[status(thm)],[f1419,f3405])).
% 4.70/1.06 fof(f3875,plain,(
% 4.70/1.06 ~ssList(skaf45(sk4,sk5))|segmentP(sk4,sk5)|~sQ327_spl|~sQ79_spl),
% 4.70/1.06 inference(paramodulation,[status(thm)],[f1415,f3405])).
% 4.70/1.06 fof(f3893,plain,(
% 4.70/1.06 ~sQ84_spl|sQ10_spl|~sQ327_spl|~sQ80_spl),
% 4.70/1.06 inference(split_clause,[status(thm)],[f3874,f1450,f538,f3404,f1418])).
% 4.70/1.06 fof(f3894,plain,(
% 4.70/1.06 ~sQ82_spl|sQ9_spl|~sQ327_spl|~sQ79_spl),
% 4.70/1.06 inference(split_clause,[status(thm)],[f3875,f1434,f535,f3404,f1414])).
% 4.70/1.06 fof(f3895,plain,(
% 4.70/1.06 $false),
% 4.70/1.06 inference(sat_refutation,[status(thm)],[f464,f489,f490,f491,f492,f493,f529,f541,f563,f640,f763,f1417,f1421,f1445,f1461,f2536,f3248,f3274,f3407,f3893,f3894])).
% 4.70/1.06 % SZS output end CNFRefutation for theBenchmark.p
% 4.70/1.08 % Elapsed time: 0.703448 seconds
% 4.70/1.08 % CPU time: 5.229547 seconds
% 4.70/1.08 % Total memory used: 187.028 MB
% 4.70/1.08 % Net memory used: 182.024 MB
%------------------------------------------------------------------------------