%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU406+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:20:26 PM UTC 2026
% Result : Theorem 0.04s 0.45s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 91 ( 16 unt; 10 def)
% Number of atoms : 254 ( 22 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 280 ( 117 ~; 104 |; 43 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 104 ( 98 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B,C,D] :
~ ( ~ ( r2_hidden(B,k4_xboole_0(C,D))
& r2_hidden(A,D) )
& ~ ( r2_hidden(B,D)
& r2_hidden(A,k4_xboole_0(C,D)) )
& ~ ( r2_hidden(B,D)
& r2_hidden(A,D) )
& ~ ( r2_hidden(B,k4_xboole_0(C,D))
& r2_hidden(A,k4_xboole_0(C,D)) )
& r2_hidden(B,k2_xboole_0(C,D))
& r2_hidden(A,k2_xboole_0(C,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B,C,D] :
~ ( ~ ( r2_hidden(B,k4_xboole_0(C,D))
& r2_hidden(A,D) )
& ~ ( r2_hidden(B,D)
& r2_hidden(A,k4_xboole_0(C,D)) )
& ~ ( r2_hidden(B,D)
& r2_hidden(A,D) )
& ~ ( r2_hidden(B,k4_xboole_0(C,D))
& r2_hidden(A,k4_xboole_0(C,D)) )
& r2_hidden(B,k2_xboole_0(C,D))
& r2_hidden(A,k2_xboole_0(C,D)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] :
( C = k2_xboole_0(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,B)
| r2_hidden(D,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( ~ v1_xboole_0(A)
=> ~ v1_xboole_0(k2_xboole_0(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] :
( ~ v1_xboole_0(A)
=> ~ v1_xboole_0(k2_xboole_0(B,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A] : k2_xboole_0(A,k1_xboole_0) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B] : k2_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
? [A,B,C,D] :
( ( ~ r2_hidden(B,k4_xboole_0(C,D))
| ~ r2_hidden(A,D) )
& ( ~ r2_hidden(B,D)
| ~ r2_hidden(A,k4_xboole_0(C,D)) )
& ( ~ r2_hidden(B,D)
| ~ r2_hidden(A,D) )
& ( ~ r2_hidden(B,k4_xboole_0(C,D))
| ~ r2_hidden(A,k4_xboole_0(C,D)) )
& r2_hidden(B,k2_xboole_0(C,D))
& r2_hidden(A,k2_xboole_0(C,D)) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
( ( ~ r2_hidden(sK1_skl,k4_xboole_0(sK2_skl,sK3_skl))
| ~ r2_hidden(sK0_skl,sK3_skl) )
& ( ~ r2_hidden(sK1_skl,sK3_skl)
| ~ r2_hidden(sK0_skl,k4_xboole_0(sK2_skl,sK3_skl)) )
& ( ~ r2_hidden(sK1_skl,sK3_skl)
| ~ r2_hidden(sK0_skl,sK3_skl) )
& ( ~ r2_hidden(sK1_skl,k4_xboole_0(sK2_skl,sK3_skl))
| ~ r2_hidden(sK0_skl,k4_xboole_0(sK2_skl,sK3_skl)) )
& r2_hidden(sK1_skl,k2_xboole_0(sK2_skl,sK3_skl))
& r2_hidden(sK0_skl,k2_xboole_0(sK2_skl,sK3_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f26]) ).
fof(f28,plain,
r2_hidden(sK0_skl,k2_xboole_0(sK2_skl,sK3_skl)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
r2_hidden(sK1_skl,k2_xboole_0(sK2_skl,sK3_skl)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,plain,
( ~ r2_hidden(sK1_skl,k4_xboole_0(sK2_skl,sK3_skl))
| ~ r2_hidden(sK0_skl,k4_xboole_0(sK2_skl,sK3_skl)) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f31,plain,
( ~ r2_hidden(sK1_skl,sK3_skl)
| ~ r2_hidden(sK0_skl,sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f32,plain,
( ~ r2_hidden(sK1_skl,sK3_skl)
| ~ r2_hidden(sK0_skl,k4_xboole_0(sK2_skl,sK3_skl)) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f33,plain,
( ~ r2_hidden(sK1_skl,k4_xboole_0(sK2_skl,sK3_skl))
| ~ r2_hidden(sK0_skl,sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f34,plain,
! [A,B] :
( ~ r2_hidden(B,A)
| ~ r2_hidden(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
! [A,B,C] :
( ( ? [D] :
( ( r2_hidden(D,B)
| r2_hidden(D,A)
| r2_hidden(D,C) )
& ( ( ~ r2_hidden(D,B)
& ~ r2_hidden(D,A) )
| ~ r2_hidden(D,C) ) )
| C = k2_xboole_0(A,B) )
& ( ! [D] :
( ( ( ~ r2_hidden(D,B)
& ~ r2_hidden(D,A) )
| r2_hidden(D,C) )
& ( r2_hidden(D,B)
| r2_hidden(D,A)
| ~ r2_hidden(D,C) ) )
| C != k2_xboole_0(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f38,plain,
( ! [A,B,C] :
( ? [D] :
( ( r2_hidden(D,B)
| r2_hidden(D,A)
| r2_hidden(D,C) )
& ( ( ~ r2_hidden(D,B)
& ~ r2_hidden(D,A) )
| ~ r2_hidden(D,C) ) )
| C = k2_xboole_0(A,B) )
& ! [A,B,C] :
( ( ! [D] :
( ( ~ r2_hidden(D,B)
& ~ r2_hidden(D,A) )
| r2_hidden(D,C) )
& ! [D] :
( r2_hidden(D,B)
| r2_hidden(D,A)
| ~ r2_hidden(D,C) ) )
| C != k2_xboole_0(A,B) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f39,plain,
( ! [A,B,C] :
( ( ( r2_hidden(sK4_skl(C,B,A),B)
| r2_hidden(sK4_skl(C,B,A),A)
| r2_hidden(sK4_skl(C,B,A),C) )
& ( ( ~ r2_hidden(sK4_skl(C,B,A),B)
& ~ r2_hidden(sK4_skl(C,B,A),A) )
| ~ r2_hidden(sK4_skl(C,B,A),C) ) )
| C = k2_xboole_0(A,B) )
& ! [A,B,C] :
( ( ! [D] :
( ( ~ r2_hidden(D,B)
& ~ r2_hidden(D,A) )
| r2_hidden(D,C) )
& ! [D] :
( r2_hidden(D,B)
| r2_hidden(D,A)
| ~ r2_hidden(D,C) ) )
| C != k2_xboole_0(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(D,sK4_skl(C,B,A))],[f38]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| X0 != k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| X0 != k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f48,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f49,plain,
! [A,B] :
( ~ v1_xboole_0(k2_xboole_0(A,B))
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f50,plain,
! [A] :
( ! [B] : ~ v1_xboole_0(k2_xboole_0(A,B))
| v1_xboole_0(A) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X0,X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [A,B] :
( ~ v1_xboole_0(k2_xboole_0(B,A))
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f53,plain,
! [A] :
( ! [B] : ~ v1_xboole_0(k2_xboole_0(B,A))
| v1_xboole_0(A) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X1,X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f61,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f66,plain,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f69,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f70,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f77,definition,
( sQ0_spl
<=> r2_hidden(sK0_skl,k4_xboole_0(sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( sQ0_spl
| ~ r2_hidden(sK0_skl,k4_xboole_0(sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,definition,
( sQ1_spl
<=> r2_hidden(sK1_skl,k4_xboole_0(sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ1_spl
| ~ r2_hidden(sK1_skl,k4_xboole_0(sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f77,f80]) ).
fof(f84,definition,
( sQ2_spl
<=> r2_hidden(sK0_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( sQ2_spl
| ~ r2_hidden(sK0_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,definition,
( sQ3_spl
<=> r2_hidden(sK1_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( sQ3_spl
| ~ r2_hidden(sK1_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f31,f84,f87]) ).
fof(f91,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f77,f87]) ).
fof(f92,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f33,f84,f80]) ).
fof(f93,plain,
! [X0,X1,X2] :
( r2_hidden(X0,X2)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f40]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f41]) ).
fof(f102,plain,
r2_hidden(sK1_skl,k2_xboole_0(sK3_skl,sK2_skl)),
inference(paramodulation,[status(thm)],[f36,f29]) ).
fof(f103,plain,
r2_hidden(sK0_skl,k2_xboole_0(sK3_skl,sK2_skl)),
inference(paramodulation,[status(thm)],[f36,f28]) ).
fof(f114,plain,
! [X0] :
( sQ0_spl
| r2_hidden(sK0_skl,X0)
| ~ r2_hidden(sK0_skl,k2_xboole_0(X0,k4_xboole_0(sK2_skl,sK3_skl))) ),
inference(resolution,[status(thm)],[f93,f79]) ).
fof(f115,plain,
! [X0] :
( sQ2_spl
| r2_hidden(sK0_skl,X0)
| ~ r2_hidden(sK0_skl,k2_xboole_0(X0,sK3_skl)) ),
inference(resolution,[status(thm)],[f93,f86]) ).
fof(f121,plain,
! [X0] : k2_xboole_0(k1_xboole_0,X0) = X0,
inference(paramodulation,[status(thm)],[f36,f61]) ).
fof(f136,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_xboole_0)
| r2_hidden(X0,X1) ),
inference(paramodulation,[status(thm)],[f121,f94]) ).
fof(f155,plain,
( sQ2_spl
| sQ0_spl
| ~ r2_hidden(sK0_skl,k2_xboole_0(sK3_skl,k4_xboole_0(sK2_skl,sK3_skl))) ),
inference(resolution,[status(thm)],[f114,f86]) ).
fof(f158,plain,
! [X0] :
( sQ0_spl
| ~ r2_hidden(sK0_skl,k2_xboole_0(k1_xboole_0,k4_xboole_0(sK2_skl,sK3_skl)))
| r2_hidden(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f136,f114]) ).
fof(f160,definition,
! [X0] :
( sQ4_spl
<=> r2_hidden(sK0_skl,X0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f161,plain,
! [X0] :
( ~ sQ4_spl
| r2_hidden(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
( sQ5_spl
<=> r2_hidden(sK0_skl,k2_xboole_0(k1_xboole_0,k4_xboole_0(sK2_skl,sK3_skl))) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ0_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f158,f160,f163,f77]) ).
fof(f168,plain,
! [X0] :
( sQ3_spl
| r2_hidden(sK1_skl,X0)
| ~ r2_hidden(sK1_skl,k2_xboole_0(X0,sK3_skl)) ),
inference(resolution,[status(thm)],[f89,f93]) ).
fof(f180,plain,
! [X0] :
( sQ2_spl
| r2_hidden(sK0_skl,X0)
| ~ r2_hidden(sK0_skl,k2_xboole_0(k1_xboole_0,sK3_skl)) ),
inference(resolution,[status(thm)],[f115,f136]) ).
fof(f183,definition,
( sQ6_spl
<=> r2_hidden(sK0_skl,k2_xboole_0(k1_xboole_0,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( sQ2_spl
| sQ4_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f180,f183,f160,f84]) ).
fof(f196,plain,
! [X0] :
( ~ sQ4_spl
| ~ r2_hidden(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f161,f35]) ).
fof(f197,plain,
( ~ sQ4_spl
| $false ),
inference(resolution,[status(thm)],[f196,f161]) ).
fof(f199,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f211,plain,
! [X0,X1] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(resolution,[status(thm)],[f51,f70]) ).
fof(f317,plain,
! [X0] :
( k1_xboole_0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(paramodulation,[status(thm)],[f121,f211]) ).
fof(f323,definition,
! [X0] :
( sQ7_spl
<=> ~ v1_xboole_0(X0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f324,plain,
! [X0] :
( ~ sQ7_spl
| ~ v1_xboole_0(X0) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
( sQ8_spl
<=> k1_xboole_0 = k1_xboole_0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f317,f323,f326]) ).
fof(f331,plain,
( ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f48,f324]) ).
fof(f332,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f331]) ).
fof(f354,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k1_xboole_0) ),
inference(paramodulation,[status(thm)],[f61,f54]) ).
fof(f358,definition,
( sQ9_spl
<=> v1_xboole_0(k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f354,f358,f323]) ).
fof(f371,plain,
( sQ1_spl
| sQ3_spl
| ~ r2_hidden(sK1_skl,k2_xboole_0(k4_xboole_0(sK2_skl,sK3_skl),sK3_skl)) ),
inference(resolution,[status(thm)],[f168,f82]) ).
fof(f389,plain,
( sQ1_spl
| sQ3_spl
| ~ r2_hidden(sK1_skl,k2_xboole_0(sK3_skl,k4_xboole_0(sK2_skl,sK3_skl))) ),
inference(paramodulation,[status(thm)],[f36,f371]) ).
fof(f391,plain,
( sQ1_spl
| sQ3_spl
| ~ r2_hidden(sK1_skl,k2_xboole_0(sK3_skl,sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f66,f389]) ).
fof(f392,plain,
( sQ1_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f102]) ).
fof(f393,plain,
( sQ1_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ2_spl
| sQ0_spl
| ~ r2_hidden(sK0_skl,k2_xboole_0(sK3_skl,sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f66,f155]) ).
fof(f395,plain,
( sQ2_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f394,f103]) ).
fof(f396,plain,
( sQ2_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f395]) ).
fof(f397,plain,
$false,
inference(sat_refutation,[status(thm)],[f83,f90,f91,f92,f166,f186,f199,f329,f332,f361,f393,f396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU406+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41 % Computer : n001.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 21 06:26:28 UTC 2026
% 0.04/0.42 % CPUTime :
% 0.04/0.43 % Drodi V4.1.1
% 0.04/0.45 % Refutation found
% 0.04/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.04/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/0.55 % Elapsed time: 0.120702 seconds
% 0.04/0.55 % CPU time: 0.136458 seconds
% 0.04/0.55 % Total memory used: 16.487 MB
% 0.04/0.55 % Net memory used: 16.420 MB
%------------------------------------------------------------------------------