%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC332-1 : 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 : n004.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 0.13s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC332-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:16:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.13/0.60 % Refutation found
% 0.13/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.60 fof(f1,axiom,(
% 0.13/0.60 equalelemsP(nil) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f8,axiom,(
% 0.13/0.60 ssList(nil) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f47,axiom,(
% 0.13/0.60 (![U]: (ssItem(skaf44(U)) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f56,axiom,(
% 0.13/0.60 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f64,axiom,(
% 0.13/0.60 (![U]: (( ~ ssItem(U)| equalelemsP(cons(U,nil)) ) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f73,axiom,(
% 0.13/0.60 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f100,axiom,(
% 0.13/0.60 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f101,axiom,(
% 0.13/0.60 (![U]: (( ~ singletonP(U)| ~ ssList(U)| cons(skaf44(U),nil) = U ) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f127,axiom,(
% 0.13/0.60 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f172,axiom,(
% 0.13/0.60 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f186,negated_conjecture,(
% 0.13/0.60 ssList(sk1) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f187,negated_conjecture,(
% 0.13/0.60 ssList(sk2) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f190,negated_conjecture,(
% 0.13/0.60 sk2 = sk4 ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f191,negated_conjecture,(
% 0.13/0.60 sk1 = sk3 ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f192,negated_conjecture,(
% 0.13/0.60 segmentP(sk4,sk3) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f193,negated_conjecture,(
% 0.13/0.60 ( singletonP(sk3)| ~ neq(sk4,nil) ) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f194,negated_conjecture,(
% 0.13/0.60 ( ~ segmentP(sk2,sk1)| ~ equalelemsP(sk1) ) ),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f195,plain,(
% 0.13/0.60 equalelemsP(nil)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.60 fof(f202,plain,(
% 0.13/0.60 ssList(nil)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.60 fof(f241,plain,(
% 0.13/0.60 ![X0]: (ssItem(skaf44(X0)))),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.60 fof(f250,plain,(
% 0.13/0.60 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.60 fof(f258,plain,(
% 0.13/0.60 ![X0]: (~ssItem(X0)|equalelemsP(cons(X0,nil)))),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f64])).
% 0.13/0.60 fof(f268,plain,(
% 0.13/0.60 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f73])).
% 0.13/0.60 fof(f297,plain,(
% 0.13/0.60 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f100])).
% 0.13/0.60 fof(f298,plain,(
% 0.13/0.60 ![X0]: (~singletonP(X0)|~ssList(X0)|cons(skaf44(X0),nil)=X0)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f101])).
% 0.13/0.60 fof(f334,plain,(
% 0.13/0.60 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f127])).
% 0.13/0.60 fof(f399,plain,(
% 0.13/0.60 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f172])).
% 0.13/0.60 fof(f425,plain,(
% 0.13/0.60 ssList(sk1)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f186])).
% 0.13/0.60 fof(f426,plain,(
% 0.13/0.60 ssList(sk2)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f187])).
% 0.13/0.60 fof(f429,plain,(
% 0.13/0.60 sk2=sk4),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.60 fof(f430,plain,(
% 0.13/0.60 sk1=sk3),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.60 fof(f431,plain,(
% 0.13/0.60 segmentP(sk4,sk3)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.60 fof(f432,plain,(
% 0.13/0.60 singletonP(sk3)|~neq(sk4,nil)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.60 fof(f433,plain,(
% 0.13/0.60 ~segmentP(sk2,sk1)|~equalelemsP(sk1)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/0.60 fof(f441,definition,(
% 0.13/0.60 sQ2_spl <=> (singletonP(sk3))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f442,plain,(
% 0.13/0.60 singletonP(sk3)|~sQ2_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f441])).
% 0.13/0.60 fof(f444,definition,(
% 0.13/0.60 sQ3_spl <=> (neq(sk4,nil))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f446,plain,(
% 0.13/0.60 ~neq(sk4,nil)|sQ3_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f444])).
% 0.13/0.60 fof(f447,plain,(
% 0.13/0.60 sQ2_spl|~sQ3_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f432,f441,f444])).
% 0.13/0.60 fof(f448,definition,(
% 0.13/0.60 sQ4_spl <=> (segmentP(sk2,sk1))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f450,plain,(
% 0.13/0.60 ~segmentP(sk2,sk1)|sQ4_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f448])).
% 0.13/0.60 fof(f451,definition,(
% 0.13/0.60 sQ5_spl <=> (equalelemsP(sk1))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f453,plain,(
% 0.13/0.60 ~equalelemsP(sk1)|sQ5_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f451])).
% 0.13/0.60 fof(f454,plain,(
% 0.13/0.60 ~sQ4_spl|~sQ5_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f433,f448,f451])).
% 0.13/0.60 fof(f486,plain,(
% 0.13/0.60 singletonP(sk1)|~sQ2_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f430,f442])).
% 0.13/0.60 fof(f487,plain,(
% 0.13/0.60 segmentP(sk2,sk3)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f429,f431])).
% 0.13/0.60 fof(f488,plain,(
% 0.13/0.60 segmentP(sk2,sk1)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f430,f487])).
% 0.13/0.60 fof(f489,plain,(
% 0.13/0.60 $false|sQ4_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f450,f488])).
% 0.13/0.60 fof(f490,plain,(
% 0.13/0.60 sQ4_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f489])).
% 0.13/0.60 fof(f493,definition,(
% 0.13/0.60 sQ6_spl <=> (ssList(nil))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f495,plain,(
% 0.13/0.60 ~ssList(nil)|sQ6_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f493])).
% 0.13/0.60 fof(f501,plain,(
% 0.13/0.60 $false|sQ6_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f495,f202])).
% 0.13/0.60 fof(f502,plain,(
% 0.13/0.60 sQ6_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f501])).
% 0.13/0.60 fof(f533,definition,(
% 0.13/0.60 sQ9_spl <=> (ssList(sk1))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f535,plain,(
% 0.13/0.60 ~ssList(sk1)|sQ9_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f533])).
% 0.13/0.60 fof(f536,definition,(
% 0.13/0.60 sQ10_spl <=> (ssList(sk2))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f538,plain,(
% 0.13/0.60 ~ssList(sk2)|sQ10_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f536])).
% 0.13/0.60 fof(f578,plain,(
% 0.13/0.60 $false|sQ10_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f538,f426])).
% 0.13/0.60 fof(f579,plain,(
% 0.13/0.60 sQ10_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f578])).
% 0.13/0.60 fof(f583,plain,(
% 0.13/0.60 $false|sQ9_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f535,f425])).
% 0.13/0.60 fof(f584,plain,(
% 0.13/0.60 sQ9_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f583])).
% 0.13/0.60 fof(f590,plain,(
% 0.13/0.60 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|~segmentP(X1,app(app(X3,X0),X2))|~ssList(X1)|~ssList(app(app(X3,X0),X2))|app(app(X3,X0),X2)=X1)),
% 0.13/0.60 inference(resolution,[status(thm)],[f399,f334])).
% 0.13/0.60 fof(f591,plain,(
% 0.13/0.60 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|~segmentP(X1,app(app(X3,X0),X2))|~ssList(app(app(X3,X0),X2))|app(app(X3,X0),X2)=X1)),
% 0.13/0.60 inference(duplicate_literals_removal,[status(thm)],[f590])).
% 0.13/0.60 fof(f722,definition,(
% 0.13/0.60 sQ25_spl <=> (nil=sk2)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f723,plain,(
% 0.13/0.60 nil=sk2|~sQ25_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f722])).
% 0.13/0.60 fof(f791,plain,(
% 0.13/0.60 app(sk1,nil)=sk1),
% 0.13/0.60 inference(resolution,[status(thm)],[f268,f425])).
% 0.13/0.60 fof(f821,plain,(
% 0.13/0.60 ![X0,X1]: (~segmentP(nil,X0)|~ssList(X1)|~ssList(sk1)|~ssList(X0)|~ssList(nil)|~segmentP(X0,app(app(sk1,nil),X1))|~ssList(app(sk1,X1))|app(app(sk1,nil),X1)=X0)),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f791,f591])).
% 0.13/0.60 fof(f824,definition,(
% 0.13/0.60 ![X0,X1]: (sQ29_spl <=> (~segmentP(nil,X0)|~ssList(X1)|~ssList(X0)|~segmentP(X0,app(app(sk1,nil),X1))|~ssList(app(sk1,X1))|app(app(sk1,nil),X1)=X0))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f825,plain,(
% 0.13/0.60 ![X0,X1]: (~segmentP(nil,X0)|~ssList(X1)|~ssList(X0)|~segmentP(X0,app(app(sk1,nil),X1))|~ssList(app(sk1,X1))|app(app(sk1,nil),X1)=X0|~sQ29_spl)),
% 0.13/0.60 inference(component_clause,[status(thm)],[f824])).
% 0.13/0.60 fof(f827,plain,(
% 0.13/0.60 sQ29_spl|~sQ9_spl|~sQ6_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f821,f824,f533,f493])).
% 0.13/0.60 fof(f836,plain,(
% 0.13/0.60 ![X0,X1]: (~segmentP(nil,X0)|~ssList(X1)|~ssList(X0)|~segmentP(X0,app(sk1,X1))|~ssList(app(sk1,X1))|app(app(sk1,nil),X1)=X0|~sQ29_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f791,f825])).
% 0.13/0.60 fof(f837,plain,(
% 0.13/0.60 ![X0,X1]: (~segmentP(nil,X0)|~ssList(X1)|~ssList(X0)|~segmentP(X0,app(sk1,X1))|~ssList(app(sk1,X1))|app(sk1,X1)=X0|~sQ29_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f791,f836])).
% 0.13/0.60 fof(f1044,plain,(
% 0.13/0.60 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|~segmentP(X0,app(sk1,nil))|~ssList(sk1)|app(sk1,nil)=X0|~sQ29_spl)),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f791,f837])).
% 0.13/0.60 fof(f1045,definition,(
% 0.13/0.60 ![X0]: (sQ47_spl <=> (~segmentP(nil,X0)|~ssList(X0)|~segmentP(X0,app(sk1,nil))|app(sk1,nil)=X0))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1046,plain,(
% 0.13/0.60 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|~segmentP(X0,app(sk1,nil))|app(sk1,nil)=X0|~sQ47_spl)),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1045])).
% 0.13/0.60 fof(f1048,plain,(
% 0.13/0.60 sQ47_spl|~sQ6_spl|~sQ9_spl|~sQ29_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f1044,f1045,f493,f533,f824])).
% 0.13/0.60 fof(f1049,plain,(
% 0.13/0.60 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|~segmentP(X0,sk1)|app(sk1,nil)=X0|~sQ47_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f791,f1046])).
% 0.13/0.60 fof(f1050,plain,(
% 0.13/0.60 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|~segmentP(X0,sk1)|sk1=X0|~sQ47_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f791,f1049])).
% 0.13/0.60 fof(f1165,plain,(
% 0.13/0.60 ~ssList(nil)|~segmentP(nil,sk1)|sk1=nil|~ssList(nil)|~sQ47_spl),
% 0.13/0.60 inference(resolution,[status(thm)],[f1050,f250])).
% 0.13/0.60 fof(f1168,definition,(
% 0.13/0.60 sQ50_spl <=> (segmentP(nil,sk1))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1170,plain,(
% 0.13/0.60 ~segmentP(nil,sk1)|sQ50_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1168])).
% 0.13/0.60 fof(f1171,definition,(
% 0.13/0.60 sQ51_spl <=> (sk1=nil)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1172,plain,(
% 0.13/0.60 sk1=nil|~sQ51_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1171])).
% 0.13/0.60 fof(f1174,plain,(
% 0.13/0.60 ~sQ6_spl|~sQ50_spl|sQ51_spl|~sQ47_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f1165,f493,f1168,f1171,f1045])).
% 0.13/0.60 fof(f1300,plain,(
% 0.13/0.60 equalelemsP(sk1)|~sQ51_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1172,f195])).
% 0.13/0.60 fof(f1316,plain,(
% 0.13/0.60 ~neq(sk2,nil)|sQ3_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f429,f446])).
% 0.13/0.61 fof(f1319,plain,(
% 0.13/0.61 ~ssList(nil)|~ssList(sk2)|sk2=nil|sQ3_spl),
% 0.13/0.61 inference(resolution,[status(thm)],[f1316,f297])).
% 0.13/0.61 fof(f1327,plain,(
% 0.13/0.61 ~sQ6_spl|~sQ10_spl|sQ25_spl|sQ3_spl),
% 0.13/0.61 inference(split_clause,[status(thm)],[f1319,f493,f536,f722,f444])).
% 0.13/0.61 fof(f1349,plain,(
% 0.13/0.61 ~segmentP(sk2,sk1)|~sQ25_spl|sQ50_spl),
% 0.13/0.61 inference(forward_demodulation,[status(thm)],[f723,f1170])).
% 0.13/0.61 fof(f1350,plain,(
% 0.13/0.61 $false|~sQ25_spl|sQ50_spl),
% 0.13/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1349,f488])).
% 0.13/0.61 fof(f1351,plain,(
% 0.13/0.61 ~sQ25_spl|sQ50_spl),
% 0.13/0.61 inference(contradiction_clause,[status(thm)],[f1350])).
% 0.13/0.61 fof(f1672,plain,(
% 0.13/0.61 $false|sQ5_spl|~sQ51_spl),
% 0.13/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1300,f453])).
% 0.13/0.61 fof(f1673,plain,(
% 0.13/0.61 sQ5_spl|~sQ51_spl),
% 0.13/0.61 inference(contradiction_clause,[status(thm)],[f1672])).
% 0.13/0.61 fof(f1709,plain,(
% 0.13/0.61 ~ssList(sk1)|cons(skaf44(sk1),nil)=sk1|~sQ2_spl),
% 0.13/0.61 inference(resolution,[status(thm)],[f298,f486])).
% 0.13/0.61 fof(f1710,definition,(
% 0.13/0.61 sQ71_spl <=> (cons(skaf44(sk1),nil)=sk1)),
% 0.13/0.61 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f1711,plain,(
% 0.13/0.62 cons(skaf44(sk1),nil)=sk1|~sQ71_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f1710])).
% 0.13/0.62 fof(f1713,plain,(
% 0.13/0.62 ~sQ9_spl|sQ71_spl|~sQ2_spl),
% 0.13/0.62 inference(split_clause,[status(thm)],[f1709,f533,f1710,f441])).
% 0.13/0.62 fof(f1761,plain,(
% 0.13/0.62 ~ssItem(skaf44(sk1))|equalelemsP(sk1)|~sQ71_spl),
% 0.13/0.62 inference(paramodulation,[status(thm)],[f1711,f258])).
% 0.13/0.62 fof(f1765,definition,(
% 0.13/0.62 sQ75_spl <=> (ssItem(skaf44(sk1)))),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f1767,plain,(
% 0.13/0.62 ~ssItem(skaf44(sk1))|sQ75_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f1765])).
% 0.13/0.62 fof(f1772,plain,(
% 0.13/0.62 ~sQ75_spl|sQ5_spl|~sQ71_spl),
% 0.13/0.62 inference(split_clause,[status(thm)],[f1761,f1765,f451,f1710])).
% 0.13/0.62 fof(f1782,plain,(
% 0.13/0.62 $false|sQ75_spl),
% 0.13/0.62 inference(forward_subsumption_resolution,[status(thm)],[f1767,f241])).
% 0.13/0.62 fof(f1783,plain,(
% 0.13/0.62 sQ75_spl),
% 0.13/0.62 inference(contradiction_clause,[status(thm)],[f1782])).
% 0.13/0.62 fof(f1784,plain,(
% 0.13/0.62 $false),
% 0.13/0.62 inference(sat_refutation,[status(thm)],[f447,f454,f490,f502,f579,f584,f827,f1048,f1174,f1327,f1351,f1673,f1713,f1772,f1783])).
% 0.13/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.65 % Elapsed time: 0.265990 seconds
% 0.13/0.65 % CPU time: 1.433983 seconds
% 0.13/0.65 % Total memory used: 127.751 MB
% 0.13/0.65 % Net memory used: 126.914 MB
%------------------------------------------------------------------------------