%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC389-1 : 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 02:42:21 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC389-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:20:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.02/0.39 % Drodi V4.1.1
% 0.02/0.58 % Refutation found
% 0.02/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.58 fof(f8,axiom,(
% 0.02/0.58 ssList(nil) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f11,axiom,(
% 0.02/0.58 ~ singletonP(nil) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f56,axiom,(
% 0.02/0.58 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f57,axiom,(
% 0.02/0.58 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f80,axiom,(
% 0.02/0.58 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f115,axiom,(
% 0.02/0.58 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f116,axiom,(
% 0.02/0.58 (![U,V]: (( cons(U,nil) != V| ~ ssItem(U)| ~ ssList(V)| singletonP(V) ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f127,axiom,(
% 0.02/0.58 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f152,axiom,(
% 0.02/0.58 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f172,axiom,(
% 0.02/0.58 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f173,axiom,(
% 0.02/0.58 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f186,negated_conjecture,(
% 0.02/0.58 ssList(sk1) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f187,negated_conjecture,(
% 0.02/0.58 ssList(sk2) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f189,negated_conjecture,(
% 0.02/0.58 ssList(sk4) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f190,negated_conjecture,(
% 0.02/0.58 sk2 = sk4 ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f191,negated_conjecture,(
% 0.02/0.58 sk1 = sk3 ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f192,negated_conjecture,(
% 0.02/0.58 ( ssItem(sk5)| nil = sk4 ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f194,negated_conjecture,(
% 0.02/0.58 ( ssList(sk6)| nil = sk4 ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f195,negated_conjecture,(
% 0.02/0.58 ( ssList(sk7)| nil = sk4 ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f196,negated_conjecture,(
% 0.02/0.58 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f200,negated_conjecture,(
% 0.02/0.58 ( ssList(sk6)| nil = sk3 ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f201,negated_conjecture,(
% 0.02/0.58 ( ssList(sk7)| nil = sk3 ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f203,negated_conjecture,(
% 0.02/0.58 ( app(app(sk6,sk3),sk7) = sk4| nil = sk3 ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f206,negated_conjecture,(
% 0.02/0.58 ( ~ segmentP(sk2,sk1)| neq(sk2,nil) ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f207,negated_conjecture,(
% 0.02/0.58 ( ~ segmentP(sk2,sk1)| ~ singletonP(sk1) ) ),
% 0.02/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.58 fof(f215,plain,(
% 0.02/0.58 ssList(nil)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.02/0.58 fof(f218,plain,(
% 0.02/0.58 ~singletonP(nil)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f11])).
% 0.02/0.58 fof(f263,plain,(
% 0.02/0.58 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f56])).
% 0.02/0.58 fof(f264,plain,(
% 0.02/0.58 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f57])).
% 0.02/0.58 fof(f288,plain,(
% 0.02/0.58 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f80])).
% 0.02/0.58 fof(f328,plain,(
% 0.02/0.58 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.02/0.58 inference(miniscoping,[status(thm)],[f115])).
% 0.02/0.58 fof(f329,plain,(
% 0.02/0.58 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f328])).
% 0.02/0.58 fof(f330,plain,(
% 0.02/0.58 ![V]: (((![U]: (~cons(U,nil)=V|~ssItem(U)))|~ssList(V))|singletonP(V))),
% 0.02/0.58 inference(miniscoping,[status(thm)],[f116])).
% 0.02/0.58 fof(f331,plain,(
% 0.02/0.58 ![X0,X1]: (~cons(X0,nil)=X1|~ssItem(X0)|~ssList(X1)|singletonP(X1))),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f330])).
% 0.02/0.58 fof(f347,plain,(
% 0.02/0.58 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f127])).
% 0.02/0.58 fof(f381,plain,(
% 0.02/0.58 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.02/0.58 inference(miniscoping,[status(thm)],[f152])).
% 0.02/0.58 fof(f382,plain,(
% 0.02/0.58 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f381])).
% 0.02/0.58 fof(f412,plain,(
% 0.02/0.58 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f172])).
% 0.02/0.58 fof(f413,plain,(
% 0.02/0.58 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.02/0.58 inference(miniscoping,[status(thm)],[f173])).
% 0.02/0.58 fof(f414,plain,(
% 0.02/0.58 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f413])).
% 0.02/0.58 fof(f438,plain,(
% 0.02/0.58 ssList(sk1)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f186])).
% 0.02/0.58 fof(f439,plain,(
% 0.02/0.58 ssList(sk2)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f187])).
% 0.02/0.58 fof(f441,plain,(
% 0.02/0.58 ssList(sk4)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f189])).
% 0.02/0.58 fof(f442,plain,(
% 0.02/0.58 sk2=sk4),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f190])).
% 0.02/0.58 fof(f443,plain,(
% 0.02/0.58 sk1=sk3),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f191])).
% 0.02/0.58 fof(f444,plain,(
% 0.02/0.58 ssItem(sk5)|nil=sk4),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f192])).
% 0.02/0.58 fof(f446,plain,(
% 0.02/0.58 ssList(sk6)|nil=sk4),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f194])).
% 0.02/0.58 fof(f447,plain,(
% 0.02/0.58 ssList(sk7)|nil=sk4),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f195])).
% 0.02/0.58 fof(f448,plain,(
% 0.02/0.58 cons(sk5,nil)=sk3|nil=sk4),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f196])).
% 0.02/0.58 fof(f454,plain,(
% 0.02/0.58 ssList(sk6)|nil=sk3),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f200])).
% 0.02/0.58 fof(f455,plain,(
% 0.02/0.58 ssList(sk7)|nil=sk3),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f201])).
% 0.02/0.58 fof(f457,plain,(
% 0.02/0.58 app(app(sk6,sk3),sk7)=sk4|nil=sk3),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f203])).
% 0.02/0.58 fof(f462,plain,(
% 0.02/0.58 ~segmentP(sk2,sk1)|neq(sk2,nil)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f206])).
% 0.02/0.58 fof(f463,plain,(
% 0.02/0.58 ~segmentP(sk2,sk1)|~singletonP(sk1)),
% 0.02/0.58 inference(cnf_transformation,[status(thm)],[f207])).
% 0.02/0.58 fof(f471,definition,(
% 0.02/0.58 sQ2_spl <=> (ssItem(sk5))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f474,definition,(
% 0.02/0.58 sQ3_spl <=> (nil=sk4)),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f475,plain,(
% 0.02/0.58 nil=sk4|~sQ3_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f474])).
% 0.02/0.58 fof(f477,plain,(
% 0.02/0.58 sQ2_spl|sQ3_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f444,f471,f474])).
% 0.02/0.58 fof(f478,definition,(
% 0.02/0.58 sQ4_spl <=> (nil=sk3)),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f479,plain,(
% 0.02/0.58 nil=sk3|~sQ4_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f478])).
% 0.02/0.58 fof(f482,definition,(
% 0.02/0.58 sQ5_spl <=> (ssList(sk6))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f485,plain,(
% 0.02/0.58 sQ5_spl|sQ3_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f446,f482,f474])).
% 0.02/0.58 fof(f486,definition,(
% 0.02/0.58 sQ6_spl <=> (ssList(sk7))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f489,plain,(
% 0.02/0.58 sQ6_spl|sQ3_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f447,f486,f474])).
% 0.02/0.58 fof(f490,definition,(
% 0.02/0.58 sQ7_spl <=> (cons(sk5,nil)=sk3)),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f491,plain,(
% 0.02/0.58 cons(sk5,nil)=sk3|~sQ7_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f490])).
% 0.02/0.58 fof(f493,plain,(
% 0.02/0.58 sQ7_spl|sQ3_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f448,f490,f474])).
% 0.02/0.58 fof(f494,definition,(
% 0.02/0.58 sQ8_spl <=> (app(app(sk6,sk3),sk7)=sk4)),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f495,plain,(
% 0.02/0.58 app(app(sk6,sk3),sk7)=sk4|~sQ8_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f494])).
% 0.02/0.58 fof(f506,plain,(
% 0.02/0.58 sQ5_spl|sQ4_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f454,f482,f478])).
% 0.02/0.58 fof(f507,plain,(
% 0.02/0.58 sQ6_spl|sQ4_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f455,f486,f478])).
% 0.02/0.58 fof(f509,plain,(
% 0.02/0.58 sQ8_spl|sQ4_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f457,f494,f478])).
% 0.02/0.58 fof(f512,definition,(
% 0.02/0.58 sQ11_spl <=> (segmentP(sk2,sk1))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f514,plain,(
% 0.02/0.58 ~segmentP(sk2,sk1)|sQ11_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f512])).
% 0.02/0.58 fof(f515,definition,(
% 0.02/0.58 sQ12_spl <=> (neq(sk2,nil))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f516,plain,(
% 0.02/0.58 neq(sk2,nil)|~sQ12_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f515])).
% 0.02/0.58 fof(f518,plain,(
% 0.02/0.58 ~sQ11_spl|sQ12_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f462,f512,f515])).
% 0.02/0.58 fof(f519,definition,(
% 0.02/0.58 sQ13_spl <=> (singletonP(sk1))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f521,plain,(
% 0.02/0.58 ~singletonP(sk1)|sQ13_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f519])).
% 0.02/0.58 fof(f522,plain,(
% 0.02/0.58 ~sQ11_spl|~sQ13_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f463,f512,f519])).
% 0.02/0.58 fof(f530,plain,(
% 0.02/0.58 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.02/0.58 inference(destructive_equality_resolution,[status(thm)],[f329])).
% 0.02/0.58 fof(f531,plain,(
% 0.02/0.58 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.02/0.58 inference(duplicate_literals_removal,[status(thm)],[f530])).
% 0.02/0.58 fof(f532,plain,(
% 0.02/0.58 ![X0]: (~ssItem(X0)|~ssList(cons(X0,nil))|singletonP(cons(X0,nil)))),
% 0.02/0.58 inference(destructive_equality_resolution,[status(thm)],[f331])).
% 0.02/0.58 fof(f541,plain,(
% 0.02/0.58 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.02/0.58 inference(destructive_equality_resolution,[status(thm)],[f414])).
% 0.02/0.58 fof(f552,plain,(
% 0.02/0.58 segmentP(nil,nil)),
% 0.02/0.58 inference(resolution,[status(thm)],[f263,f215])).
% 0.02/0.58 fof(f553,plain,(
% 0.02/0.58 segmentP(sk2,nil)),
% 0.02/0.58 inference(resolution,[status(thm)],[f263,f439])).
% 0.02/0.58 fof(f556,plain,(
% 0.02/0.58 segmentP(sk2,sk2)),
% 0.02/0.58 inference(resolution,[status(thm)],[f264,f439])).
% 0.02/0.58 fof(f557,plain,(
% 0.02/0.58 segmentP(sk1,sk1)),
% 0.02/0.58 inference(resolution,[status(thm)],[f264,f438])).
% 0.02/0.58 fof(f561,plain,(
% 0.02/0.58 segmentP(sk4,nil)),
% 0.02/0.58 inference(resolution,[status(thm)],[f441,f263])).
% 0.02/0.58 fof(f568,plain,(
% 0.02/0.58 sk1=nil|~sQ4_spl),
% 0.02/0.58 inference(backward_demodulation,[status(thm)],[f479,f443])).
% 0.02/0.58 fof(f569,plain,(
% 0.02/0.58 sk2=nil|~sQ3_spl),
% 0.02/0.58 inference(backward_demodulation,[status(thm)],[f475,f442])).
% 0.02/0.58 fof(f590,plain,(
% 0.02/0.58 ~segmentP(nil,sk1)|~sQ3_spl|sQ11_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f569,f514])).
% 0.02/0.58 fof(f591,plain,(
% 0.02/0.58 ~segmentP(nil,nil)|~sQ4_spl|~sQ3_spl|sQ11_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f568,f590])).
% 0.02/0.58 fof(f592,plain,(
% 0.02/0.58 segmentP(nil,nil)|~sQ3_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f569,f553])).
% 0.02/0.58 fof(f593,plain,(
% 0.02/0.58 $false|~sQ4_spl|sQ11_spl|~sQ3_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f592,f591])).
% 0.02/0.58 fof(f594,plain,(
% 0.02/0.58 ~sQ4_spl|sQ11_spl|~sQ3_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f593])).
% 0.02/0.58 fof(f616,plain,(
% 0.02/0.58 cons(sk5,nil)=sk1|~sQ7_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f443,f491])).
% 0.02/0.58 fof(f662,plain,(
% 0.02/0.58 app(app(sk6,sk1),sk7)=sk4|~sQ8_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f443,f495])).
% 0.02/0.58 fof(f663,plain,(
% 0.02/0.58 app(app(sk6,sk1),sk7)=sk2|~sQ8_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f442,f662])).
% 0.02/0.58 fof(f664,plain,(
% 0.02/0.58 ~ssList(nil)|nil=nil),
% 0.02/0.58 inference(resolution,[status(thm)],[f552,f288])).
% 0.02/0.58 fof(f665,definition,(
% 0.02/0.58 sQ14_spl <=> (ssList(nil))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f667,plain,(
% 0.02/0.58 ~ssList(nil)|sQ14_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f665])).
% 0.02/0.58 fof(f668,definition,(
% 0.02/0.58 sQ15_spl <=> (nil=nil)),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f671,plain,(
% 0.02/0.58 ~sQ14_spl|sQ15_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f664,f665,f668])).
% 0.02/0.58 fof(f672,plain,(
% 0.02/0.58 $false|sQ14_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f667,f215])).
% 0.02/0.58 fof(f673,plain,(
% 0.02/0.58 sQ14_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f672])).
% 0.02/0.58 fof(f784,plain,(
% 0.02/0.58 segmentP(sk2,nil)),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f442,f561])).
% 0.02/0.58 fof(f815,plain,(
% 0.02/0.58 ~ssItem(sk5)|~ssList(sk1)|singletonP(cons(sk5,nil))|~sQ7_spl),
% 0.02/0.58 inference(paramodulation,[status(thm)],[f616,f532])).
% 0.02/0.58 fof(f816,definition,(
% 0.02/0.58 sQ16_spl <=> (ssList(sk1))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f818,plain,(
% 0.02/0.58 ~ssList(sk1)|sQ16_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f816])).
% 0.02/0.58 fof(f819,definition,(
% 0.02/0.58 sQ17_spl <=> (singletonP(cons(sk5,nil)))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f820,plain,(
% 0.02/0.58 singletonP(cons(sk5,nil))|~sQ17_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f819])).
% 0.02/0.58 fof(f822,plain,(
% 0.02/0.58 ~sQ2_spl|~sQ16_spl|sQ17_spl|~sQ7_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f815,f471,f816,f819,f490])).
% 0.02/0.58 fof(f823,plain,(
% 0.02/0.58 $false|sQ16_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f818,f438])).
% 0.02/0.58 fof(f824,plain,(
% 0.02/0.58 sQ16_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f823])).
% 0.02/0.58 fof(f825,plain,(
% 0.02/0.58 singletonP(sk1)|~sQ7_spl|~sQ17_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f616,f820])).
% 0.02/0.58 fof(f1047,definition,(
% 0.02/0.58 sQ19_spl <=> (nil=sk2)),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f1048,plain,(
% 0.02/0.58 nil=sk2|~sQ19_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f1047])).
% 0.02/0.58 fof(f1181,plain,(
% 0.02/0.58 ~segmentP(nil,sk2)|~ssList(sk2)|~ssList(nil)|nil=sk2),
% 0.02/0.58 inference(resolution,[status(thm)],[f347,f784])).
% 0.02/0.58 fof(f1182,plain,(
% 0.02/0.58 ~segmentP(sk2,sk2)|~ssList(sk2)|~ssList(sk2)|sk2=sk2),
% 0.02/0.58 inference(resolution,[status(thm)],[f347,f556])).
% 0.02/0.58 fof(f1184,plain,(
% 0.02/0.58 ~segmentP(sk1,sk1)|~ssList(sk1)|~ssList(sk1)|sk1=sk1),
% 0.02/0.58 inference(resolution,[status(thm)],[f347,f557])).
% 0.02/0.58 fof(f1208,definition,(
% 0.02/0.58 sQ33_spl <=> (segmentP(nil,sk2))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f1210,plain,(
% 0.02/0.58 ~segmentP(nil,sk2)|sQ33_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f1208])).
% 0.02/0.58 fof(f1211,definition,(
% 0.02/0.58 sQ34_spl <=> (ssList(sk2))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f1213,plain,(
% 0.02/0.58 ~ssList(sk2)|sQ34_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f1211])).
% 0.02/0.58 fof(f1214,plain,(
% 0.02/0.58 ~sQ33_spl|~sQ34_spl|~sQ14_spl|sQ19_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f1181,f1208,f1211,f665,f1047])).
% 0.02/0.58 fof(f1215,definition,(
% 0.02/0.58 sQ35_spl <=> (segmentP(sk2,sk2))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f1217,plain,(
% 0.02/0.58 ~segmentP(sk2,sk2)|sQ35_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f1215])).
% 0.02/0.58 fof(f1218,definition,(
% 0.02/0.58 sQ36_spl <=> (sk2=sk2)),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f1221,plain,(
% 0.02/0.58 ~sQ35_spl|~sQ34_spl|sQ36_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f1182,f1215,f1211,f1218])).
% 0.02/0.58 fof(f1226,definition,(
% 0.02/0.58 sQ38_spl <=> (segmentP(sk1,sk1))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f1228,plain,(
% 0.02/0.58 ~segmentP(sk1,sk1)|sQ38_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f1226])).
% 0.02/0.58 fof(f1229,definition,(
% 0.02/0.58 sQ39_spl <=> (sk1=sk1)),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f1232,plain,(
% 0.02/0.58 ~sQ38_spl|~sQ16_spl|sQ39_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f1184,f1226,f816,f1229])).
% 0.02/0.58 fof(f1239,plain,(
% 0.02/0.58 $false|sQ34_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1213,f439])).
% 0.02/0.58 fof(f1240,plain,(
% 0.02/0.58 sQ34_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f1239])).
% 0.02/0.58 fof(f1241,plain,(
% 0.02/0.58 $false|sQ38_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1228,f557])).
% 0.02/0.58 fof(f1242,plain,(
% 0.02/0.58 sQ38_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f1241])).
% 0.02/0.58 fof(f1245,plain,(
% 0.02/0.58 $false|sQ35_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1217,f556])).
% 0.02/0.58 fof(f1246,plain,(
% 0.02/0.58 sQ35_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f1245])).
% 0.02/0.58 fof(f1281,plain,(
% 0.02/0.58 nil=sk4|~sQ19_spl),
% 0.02/0.58 inference(backward_demodulation,[status(thm)],[f1048,f442])).
% 0.02/0.58 fof(f1463,plain,(
% 0.02/0.58 sQ3_spl|~sQ19_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f1281,f474,f1047])).
% 0.02/0.58 fof(f1506,plain,(
% 0.02/0.58 singletonP(nil)|~sQ4_spl|~sQ7_spl|~sQ17_spl),
% 0.02/0.58 inference(backward_demodulation,[status(thm)],[f568,f825])).
% 0.02/0.58 fof(f1512,plain,(
% 0.02/0.58 $false|~sQ4_spl|~sQ7_spl|~sQ17_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1506,f218])).
% 0.02/0.58 fof(f1513,plain,(
% 0.02/0.58 ~sQ4_spl|~sQ7_spl|~sQ17_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f1512])).
% 0.02/0.58 fof(f1654,plain,(
% 0.02/0.58 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|~ssList(nil)|~ssList(nil)|segmentP(nil,X0))),
% 0.02/0.58 inference(resolution,[status(thm)],[f382,f552])).
% 0.02/0.58 fof(f1655,definition,(
% 0.02/0.58 ![X0]: (sQ47_spl <=> (~segmentP(nil,X0)|~ssList(X0)|segmentP(nil,X0)))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f1658,plain,(
% 0.02/0.58 sQ47_spl|~sQ14_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f1654,f1655,f665])).
% 0.02/0.58 fof(f2004,plain,(
% 0.02/0.58 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~ssList(nil)|segmentP(app(app(X1,nil),X0),nil))),
% 0.02/0.58 inference(resolution,[status(thm)],[f412,f552])).
% 0.02/0.58 fof(f2005,definition,(
% 0.02/0.58 ![X0,X1]: (sQ75_spl <=> (~ssList(X0)|~ssList(X1)|segmentP(app(app(X1,nil),X0),nil)))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f2008,plain,(
% 0.02/0.58 sQ75_spl|~sQ14_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f2004,f2005,f665])).
% 0.02/0.58 fof(f2076,plain,(
% 0.02/0.58 ~segmentP(nil,nil)|~sQ3_spl|sQ33_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f569,f1210])).
% 0.02/0.58 fof(f2077,plain,(
% 0.02/0.58 $false|~sQ3_spl|sQ33_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2076,f552])).
% 0.02/0.58 fof(f2078,plain,(
% 0.02/0.58 ~sQ3_spl|sQ33_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f2077])).
% 0.02/0.58 fof(f2232,plain,(
% 0.02/0.58 ~ssList(sk7)|~ssList(sk6)|~ssList(sk1)|~ssList(sk2)|segmentP(app(app(sk6,sk1),sk7),sk1)|~sQ8_spl),
% 0.02/0.58 inference(paramodulation,[status(thm)],[f663,f541])).
% 0.02/0.58 fof(f2235,definition,(
% 0.02/0.58 sQ91_spl <=> (segmentP(app(app(sk6,sk1),sk7),sk1))),
% 0.02/0.58 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.02/0.58 fof(f2236,plain,(
% 0.02/0.58 segmentP(app(app(sk6,sk1),sk7),sk1)|~sQ91_spl),
% 0.02/0.58 inference(component_clause,[status(thm)],[f2235])).
% 0.02/0.58 fof(f2238,plain,(
% 0.02/0.58 ~sQ6_spl|~sQ5_spl|~sQ16_spl|~sQ34_spl|sQ91_spl|~sQ8_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f2232,f486,f482,f816,f1211,f2235,f494])).
% 0.02/0.58 fof(f2250,plain,(
% 0.02/0.58 segmentP(sk2,sk1)|~sQ8_spl|~sQ91_spl),
% 0.02/0.58 inference(forward_demodulation,[status(thm)],[f663,f2236])).
% 0.02/0.58 fof(f2251,plain,(
% 0.02/0.58 $false|sQ11_spl|~sQ8_spl|~sQ91_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2250,f514])).
% 0.02/0.58 fof(f2252,plain,(
% 0.02/0.58 sQ11_spl|~sQ8_spl|~sQ91_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f2251])).
% 0.02/0.58 fof(f2339,plain,(
% 0.02/0.58 $false|~sQ7_spl|~sQ17_spl|sQ13_spl),
% 0.02/0.58 inference(forward_subsumption_resolution,[status(thm)],[f521,f825])).
% 0.02/0.58 fof(f2340,plain,(
% 0.02/0.58 ~sQ7_spl|~sQ17_spl|sQ13_spl),
% 0.02/0.58 inference(contradiction_clause,[status(thm)],[f2339])).
% 0.02/0.58 fof(f2344,plain,(
% 0.02/0.58 neq(nil,nil)|~sQ3_spl|~sQ12_spl),
% 0.02/0.58 inference(backward_demodulation,[status(thm)],[f569,f516])).
% 0.02/0.58 fof(f2408,plain,(
% 0.02/0.58 ~ssList(nil)|~sQ3_spl|~sQ12_spl),
% 0.02/0.58 inference(resolution,[status(thm)],[f2344,f531])).
% 0.02/0.58 fof(f2409,plain,(
% 0.02/0.58 ~sQ14_spl|~sQ3_spl|~sQ12_spl),
% 0.02/0.58 inference(split_clause,[status(thm)],[f2408,f665,f474,f515])).
% 0.02/0.58 fof(f2410,plain,(
% 0.02/0.58 $false),
% 0.02/0.58 inference(sat_refutation,[status(thm)],[f477,f485,f489,f493,f506,f507,f509,f518,f522,f594,f671,f673,f822,f824,f1214,f1221,f1232,f1240,f1242,f1246,f1463,f1513,f1658,f2008,f2078,f2238,f2252,f2340,f2409])).
% 0.02/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.03/0.59 % Elapsed time: 0.201383 seconds
% 1.03/0.59 % CPU time: 1.284508 seconds
% 1.03/0.59 % Total memory used: 136.427 MB
% 1.03/0.59 % Net memory used: 134.811 MB
%------------------------------------------------------------------------------