%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC200-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:40:22 PM UTC 2026
% Result : Unsatisfiable 4.42s 1.43s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 19 unt; 6 def)
% Number of atoms : 145 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 163 ( 79 ~; 78 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U] : ssItem(skaf44(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [U] :
( cons(skaf44(U),nil) = U
| ~ ssList(U)
| ~ singletonP(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f161,axiom,
! [U,V,W] :
( W = U
| memberP(V,W)
| ~ ssItem(W)
| ~ ssItem(U)
| ~ ssList(V)
| ~ memberP(cons(U,V),W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
singletonP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ssItem(sk5(A))
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
! [A] :
( memberP(sk1,sk5(A))
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
! [A] :
( A != sk5(A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f204,plain,
ssItem(skac3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f242,plain,
! [X0] : ssItem(skaf44(X0)),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f266,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f299,plain,
! [X0] :
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f386,plain,
! [U,W] :
( W = U
| ! [V] :
( memberP(V,W)
| ~ ssItem(W)
| ~ ssItem(U)
| ~ ssList(V)
| ~ memberP(cons(U,V),W) ) ),
inference(miniscoping,[status(thm)],[f161]) ).
fof(f387,plain,
! [X0,X1,X2] :
( X2 = X0
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f426,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f431,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f432,plain,
singletonP(sk3),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f433,plain,
! [X0] :
( ssItem(sk5(X0))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f434,plain,
! [X0] :
( memberP(sk1,sk5(X0))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f435,plain,
! [X0] :
( X0 != sk5(X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f474,plain,
singletonP(sk1),
inference(forward_demodulation,[status(thm)],[f431,f432]) ).
fof(f481,definition,
( sQ3_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( sQ3_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f486,plain,
! [X0,X1] :
( ~ ssItem(X1)
| X1 = X0
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ memberP(cons(X0,nil),X1) ),
inference(resolution,[status(thm)],[f387,f266]) ).
fof(f487,definition,
! [X0,X1] :
( sQ4_spl
<=> ( ~ ssItem(X1)
| X1 = X0
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ memberP(cons(X0,nil),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f488,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ ssItem(X1)
| X1 = X0
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ memberP(cons(X0,nil),X1) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( ~ sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f486,f487,f481]) ).
fof(f491,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f203]) ).
fof(f492,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f491]) ).
fof(f493,plain,
! [X0,X1] :
( ~ sQ4_spl
| X1 = X0
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ memberP(cons(X0,nil),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f488]) ).
fof(f558,plain,
! [X0] : skaf44(X0) != sk5(skaf44(X0)),
inference(resolution,[status(thm)],[f242,f435]) ).
fof(f660,definition,
( sQ18_spl
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( sQ18_spl
| ~ ssList(sk1) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f668,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f426]) ).
fof(f669,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f668]) ).
fof(f1076,plain,
( cons(skaf44(sk1),nil) = sk1
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f299,f474]) ).
fof(f1078,definition,
( sQ64_spl
<=> cons(skaf44(sk1),nil) = sk1 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( ~ sQ64_spl
| cons(skaf44(sk1),nil) = sk1 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( sQ64_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1076,f660,f1078]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ4_spl
| X0 = skaf44(sk1)
| ~ ssItem(X0)
| ~ ssItem(skaf44(sk1))
| ~ memberP(sk1,X0) ),
inference(paramodulation,[status(thm)],[f1079,f493]) ).
fof(f1110,definition,
( sQ65_spl
<=> ssItem(skaf44(sk1)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( sQ65_spl
| ~ ssItem(skaf44(sk1)) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1203,definition,
! [X0] :
( sQ89_spl
<=> ( X0 = skaf44(sk1)
| ~ ssItem(X0)
| ~ memberP(sk1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ89_spl
| X0 = skaf44(sk1)
| ~ ssItem(X0)
| ~ memberP(sk1,X0) ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1206,plain,
( ~ sQ64_spl
| ~ sQ4_spl
| ~ sQ65_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1104,f1203,f1110,f487,f1078]) ).
fof(f1224,plain,
( sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f242]) ).
fof(f1225,plain,
sQ65_spl,
inference(contradiction_clause,[status(thm)],[f1224]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ89_spl
| ~ ssItem(X0)
| sk5(X0) = skaf44(sk1)
| ~ ssItem(sk5(X0)) ),
inference(resolution,[status(thm)],[f1204,f434]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ89_spl
| ~ ssItem(X0)
| sk5(X0) = skaf44(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1450,f433]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ89_spl
| sk5(skaf44(X0)) = skaf44(sk1) ),
inference(resolution,[status(thm)],[f1455,f242]) ).
fof(f1547,plain,
( ~ sQ89_spl
| sk5(skac3) = skaf44(sk1) ),
inference(resolution,[status(thm)],[f1455,f204]) ).
fof(f4771,plain,
! [X0] :
( ~ sQ89_spl
| skaf44(X0) != sk5(skac3) ),
inference(backward_demodulation,[status(thm)],[f4772,f558]) ).
fof(f4772,plain,
! [X0] :
( ~ sQ89_spl
| sk5(skaf44(X0)) = sk5(skac3) ),
inference(forward_demodulation,[status(thm)],[f1547,f1531]) ).
fof(f4988,plain,
( ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1547,f4771]) ).
fof(f4989,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f4988]) ).
fof(f4990,plain,
$false,
inference(sat_refutation,[status(thm)],[f490,f492,f669,f1081,f1206,f1225,f4989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC200-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:04:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.42 % Drodi V4.1.1
% 4.42/1.43 % Refutation found
% 4.42/1.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.42/1.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.42/1.48 % Elapsed time: 1.100964 seconds
% 4.42/1.48 % CPU time: 8.019392 seconds
% 4.42/1.48 % Total memory used: 182.033 MB
% 4.42/1.48 % Net memory used: 176.400 MB
%------------------------------------------------------------------------------