%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU280+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 02:20:00 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 94 ( 7 unt; 13 def)
% Number of atoms : 315 ( 50 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 354 ( 133 ~; 151 |; 48 &)
% ( 18 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 119 ( 90 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
? [B] :
! [C] :
( in(C,B)
<=> ( ordinal(C)
& in(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
? [B] :
! [C] :
( in(C,B)
<=> ( ordinal(C)
& in(C,A) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [A] :
( ( epsilon_connected(A)
& epsilon_transitive(A) )
=> ordinal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
? [A] :
( ordinal(A)
& epsilon_connected(A)
& epsilon_transitive(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( ! [B,C,D] :
( ( ordinal(D)
& B = D
& ordinal(C)
& B = C )
=> C = D )
=> ? [B] :
! [C] :
( in(C,B)
<=> ? [D] :
( ordinal(C)
& D = C
& in(D,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
? [A] :
! [B] :
? [C] :
( in(C,B)
<~> ( ordinal(C)
& in(C,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
? [A] :
! [B] :
? [C] :
( ( ~ ordinal(C)
| ~ in(C,A)
| ~ in(C,B) )
& ( ( ordinal(C)
& in(C,A) )
| in(C,B) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [B] :
( ( ~ ordinal(sK1_skl(B))
| ~ in(sK1_skl(B),sK0_skl)
| ~ in(sK1_skl(B),B) )
& ( ( ordinal(sK1_skl(B))
& in(sK1_skl(B),sK0_skl) )
| in(sK1_skl(B),B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(C,sK1_skl(B))],[f9]) ).
fof(f11,plain,
! [X0] :
( in(sK1_skl(X0),sK0_skl)
| in(sK1_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0] :
( ordinal(sK1_skl(X0))
| in(sK1_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
! [X0] :
( ~ ordinal(sK1_skl(X0))
| ~ in(sK1_skl(X0),sK0_skl)
| ~ in(sK1_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f14,plain,
! [A] :
( ordinal(A)
| ~ epsilon_connected(A)
| ~ epsilon_transitive(A) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
( ordinal(sK2_skl)
& epsilon_connected(sK2_skl)
& epsilon_transitive(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(A,sK2_skl)],[f4]) ).
fof(f17,plain,
epsilon_transitive(sK2_skl),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
epsilon_connected(sK2_skl),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f25,plain,
! [A] :
( ? [B] :
! [C] :
( in(C,B)
<=> ? [D] :
( ordinal(C)
& D = C
& in(D,A) ) )
| ? [B,C,D] :
( C != D
& ordinal(D)
& B = D
& ordinal(C)
& B = C ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f26,definition,
! [B,C,D] :
( sP0_prd(D,C,B)
<=> ( C != D
& ordinal(D)
& B = D
& ordinal(C)
& B = C ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f27,plain,
! [A] :
( ? [B] :
! [C] :
( in(C,B)
<=> ? [D] :
( ordinal(C)
& D = C
& in(D,A) ) )
| ? [B,C,D] : sP0_prd(D,C,B) ),
inference(formula_renaming,[status(thm)],[f25,f26]) ).
fof(f28,plain,
! [A] :
( ? [B] :
! [C] :
( ( ! [D] :
( ~ ordinal(C)
| D != C
| ~ in(D,A) )
| in(C,B) )
& ( ? [D] :
( ordinal(C)
& D = C
& in(D,A) )
| ~ in(C,B) ) )
| ? [B,C,D] : sP0_prd(D,C,B) ),
inference(NNF_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
( ! [A] :
? [B] :
( ! [C] :
( ~ ordinal(C)
| ! [D] :
( D != C
| ~ in(D,A) )
| in(C,B) )
& ! [C] :
( ( ordinal(C)
& ? [D] :
( D = C
& in(D,A) ) )
| ~ in(C,B) ) )
| ? [B,C,D] : sP0_prd(D,C,B) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f30,plain,
( ! [A] :
( ! [C] :
( ~ ordinal(C)
| ! [D] :
( D != C
| ~ in(D,A) )
| in(C,sK6_skl(A)) )
& ! [C] :
( ( ordinal(C)
& sK7_skl(C,A) = C
& in(sK7_skl(C,A),A) )
| ~ in(C,sK6_skl(A)) ) )
| sP0_prd(sK5_skl,sK4_skl,sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl),skolemize(D,sK5_skl),skolemize(B,sK6_skl(A)),skolemize(D,sK7_skl(C,A))],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( in(sK7_skl(X0,X1),X1)
| ~ in(X0,sK6_skl(X1))
| sP0_prd(sK5_skl,sK4_skl,sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( sK7_skl(X0,X1) = X0
| ~ in(X0,sK6_skl(X1))
| sP0_prd(sK5_skl,sK4_skl,sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,sK6_skl(X1))
| sP0_prd(sK5_skl,sK4_skl,sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ ordinal(X0)
| X2 != X0
| ~ in(X2,X1)
| in(X0,sK6_skl(X1))
| sP0_prd(sK5_skl,sK4_skl,sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f35,plain,
! [B,C,D] :
( ( C = D
| ~ ordinal(D)
| B != D
| ~ ordinal(C)
| B != C
| sP0_prd(D,C,B) )
& ( ( C != D
& ordinal(D)
& B = D
& ordinal(C)
& B = C )
| ~ sP0_prd(D,C,B) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f36,plain,
( ! [B,C,D] :
( C = D
| ~ ordinal(D)
| B != D
| ~ ordinal(C)
| B != C
| sP0_prd(D,C,B) )
& ! [B,C,D] :
( ( C != D
& ordinal(D)
& B = D
& ordinal(C)
& B = C )
| ~ sP0_prd(D,C,B) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( X2 = X1
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f39,plain,
! [X0,X1,X2] :
( X2 = X0
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f41,plain,
! [X0,X1,X2] :
( X1 != X0
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f43,definition,
( sQ0_spl
<=> sP0_prd(sK5_skl,sK4_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f44,plain,
( ~ sQ0_spl
| sP0_prd(sK5_skl,sK4_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
! [X0,X1] :
( sQ1_spl
<=> ( in(sK7_skl(X0,X1),X1)
| ~ in(X0,sK6_skl(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f47,plain,
! [X0,X1] :
( ~ sQ1_spl
| in(sK7_skl(X0,X1),X1)
| ~ in(X0,sK6_skl(X1)) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f31,f43,f46]) ).
fof(f50,definition,
! [X0,X1] :
( sQ2_spl
<=> ( sK7_skl(X0,X1) = X0
| ~ in(X0,sK6_skl(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f51,plain,
! [X0,X1] :
( ~ sQ2_spl
| sK7_skl(X0,X1) = X0
| ~ in(X0,sK6_skl(X1)) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f43,f50]) ).
fof(f54,definition,
! [X0,X1] :
( sQ3_spl
<=> ( ordinal(X0)
| ~ in(X0,sK6_skl(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f55,plain,
! [X0,X1] :
( ~ sQ3_spl
| ordinal(X0)
| ~ in(X0,sK6_skl(X1)) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f33,f43,f54]) ).
fof(f58,definition,
! [X0,X1,X2] :
( sQ4_spl
<=> ( ~ ordinal(X0)
| X2 != X0
| ~ in(X2,X1)
| in(X0,sK6_skl(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ ordinal(X0)
| X2 != X0
| ~ in(X2,X1)
| in(X0,sK6_skl(X1)) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f43,f58]) ).
fof(f62,plain,
! [X0,X1] : ~ sP0_prd(X0,X0,X1),
inference(destructive_equality_resolution,[status(thm)],[f41]) ).
fof(f65,plain,
( ordinal(sK2_skl)
| ~ epsilon_transitive(sK2_skl) ),
inference(resolution,[status(thm)],[f15,f18]) ).
fof(f66,definition,
( sQ5_spl
<=> epsilon_transitive(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( sQ5_spl
| ~ epsilon_transitive(sK2_skl) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,definition,
( sQ6_spl
<=> ordinal(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f65,f66,f69]) ).
fof(f73,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f17]) ).
fof(f74,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f73]) ).
fof(f78,plain,
( ~ sQ0_spl
| sK3_skl = sK5_skl ),
inference(resolution,[status(thm)],[f44,f39]) ).
fof(f79,plain,
( ~ sQ0_spl
| sK3_skl = sK4_skl ),
inference(resolution,[status(thm)],[f44,f37]) ).
fof(f81,plain,
( ~ sQ0_spl
| sP0_prd(sK3_skl,sK4_skl,sK3_skl) ),
inference(backward_demodulation,[status(thm)],[f78,f44]) ).
fof(f83,plain,
( ~ sQ0_spl
| sP0_prd(sK3_skl,sK3_skl,sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f79,f81]) ).
fof(f84,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f62]) ).
fof(f85,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ ordinal(X0)
| ~ in(X0,X1)
| in(X0,sK6_skl(X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f59]) ).
fof(f87,plain,
! [X0] :
( ~ sQ4_spl
| in(sK1_skl(X0),X0)
| ~ ordinal(sK1_skl(X0))
| in(sK1_skl(X0),sK6_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f86,f11]) ).
fof(f88,plain,
! [X0] :
( ~ sQ4_spl
| in(sK1_skl(X0),X0)
| in(sK1_skl(X0),sK6_skl(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f12]) ).
fof(f90,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| sK7_skl(sK1_skl(X0),sK0_skl) = sK1_skl(X0)
| in(sK1_skl(X0),X0) ),
inference(resolution,[status(thm)],[f88,f51]) ).
fof(f91,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ4_spl
| in(sK7_skl(sK1_skl(X0),sK0_skl),sK0_skl)
| in(sK1_skl(X0),X0) ),
inference(resolution,[status(thm)],[f88,f47]) ).
fof(f96,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| sK7_skl(sK1_skl(sK6_skl(X0)),X0) = sK1_skl(sK6_skl(X0))
| sK7_skl(sK1_skl(sK6_skl(X0)),sK0_skl) = sK1_skl(sK6_skl(X0)) ),
inference(resolution,[status(thm)],[f90,f51]) ).
fof(f112,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| sK7_skl(sK1_skl(sK6_skl(sK0_skl)),sK0_skl) = sK1_skl(sK6_skl(sK0_skl))
| sK1_skl(sK6_skl(sK0_skl)) != sK1_skl(sK6_skl(sK0_skl)) ),
inference(equality_factoring,[status(thm)],[f96]) ).
fof(f113,definition,
( sQ7_spl
<=> sK1_skl(sK6_skl(sK0_skl)) = sK1_skl(sK6_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( sQ7_spl
| sK1_skl(sK6_skl(sK0_skl)) != sK1_skl(sK6_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ8_spl
<=> sK7_skl(sK1_skl(sK6_skl(sK0_skl)),sK0_skl) = sK1_skl(sK6_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ8_spl
| sK7_skl(sK1_skl(sK6_skl(sK0_skl)),sK0_skl) = sK1_skl(sK6_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f112,f113,f116,f58,f50]) ).
fof(f120,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f115]) ).
fof(f121,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f120]) ).
fof(f125,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ4_spl
| in(sK1_skl(sK6_skl(sK0_skl)),sK0_skl)
| in(sK1_skl(sK6_skl(sK0_skl)),sK6_skl(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f117,f91]) ).
fof(f128,definition,
( sQ9_spl
<=> in(sK1_skl(sK6_skl(sK0_skl)),sK6_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ9_spl
| in(sK1_skl(sK6_skl(sK0_skl)),sK6_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f135,definition,
( sQ11_spl
<=> in(sK1_skl(sK6_skl(sK0_skl)),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ11_spl
| in(sK1_skl(sK6_skl(sK0_skl)),sK0_skl) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( sQ11_spl
| ~ in(sK1_skl(sK6_skl(sK0_skl)),sK0_skl) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ4_spl
| sQ11_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f125,f128,f135,f58,f46,f116]) ).
fof(f139,plain,
( ~ sQ3_spl
| ~ sQ9_spl
| ordinal(sK1_skl(sK6_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f129,f55]) ).
fof(f141,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| in(sK7_skl(sK1_skl(sK6_skl(sK0_skl)),sK0_skl),sK0_skl) ),
inference(resolution,[status(thm)],[f129,f47]) ).
fof(f144,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ8_spl
| in(sK1_skl(sK6_skl(sK0_skl)),sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f117,f141]) ).
fof(f148,definition,
( sQ13_spl
<=> ordinal(sK1_skl(sK6_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( sQ13_spl
| ~ ordinal(sK1_skl(sK6_skl(sK0_skl))) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f152,plain,
( ~ sQ3_spl
| ~ sQ9_spl
| ~ in(sK1_skl(sK6_skl(sK0_skl)),sK0_skl)
| ~ in(sK1_skl(sK6_skl(sK0_skl)),sK6_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f139,f13]) ).
fof(f153,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f152,f128,f135,f54]) ).
fof(f157,plain,
( sQ11_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f144]) ).
fof(f158,plain,
( sQ11_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| ~ ordinal(sK1_skl(sK6_skl(sK0_skl)))
| in(sK1_skl(sK6_skl(sK0_skl)),sK6_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f136,f86]) ).
fof(f161,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| ~ sQ13_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f159,f128,f148,f135,f58]) ).
fof(f163,plain,
( sQ13_spl
| in(sK1_skl(sK6_skl(sK0_skl)),sK6_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f150,f12]) ).
fof(f164,plain,
( sQ13_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f163,f128,f148]) ).
fof(f165,plain,
$false,
inference(sat_refutation,[status(thm)],[f49,f53,f57,f61,f72,f74,f85,f119,f121,f138,f153,f158,f161,f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU280+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n018.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 06:08:59 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.50 % Elapsed time: 0.056497 seconds
% 0.17/0.50 % CPU time: 0.138872 seconds
% 0.17/0.50 % Total memory used: 35.357 MB
% 0.17/0.50 % Net memory used: 35.229 MB
%------------------------------------------------------------------------------