%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU407+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 0.18s 0.93s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 95 ( 17 unt; 8 def)
% Number of atoms : 282 ( 44 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 311 ( 124 ~; 120 |; 40 &)
% ( 12 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-6 aty)
% Number of variables : 106 ( 100 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))
=> ( r2_hidden(C,k4_xboole_0(u1_struct_0(B),u1_struct_0(A)))
| r2_hidden(C,u1_struct_0(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))
=> ( r2_hidden(C,k4_xboole_0(u1_struct_0(B),u1_struct_0(A)))
| r2_hidden(C,u1_struct_0(A)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C] :
( ( l1_orders_2(C)
& v1_orders_2(C) )
=> ( C = k1_latsum_1(A,B)
<=> ( u1_orders_2(C) = k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B)))
& u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,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/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( ( l1_orders_2(B)
& l1_orders_2(A) )
=> ( l1_orders_2(k1_latsum_1(A,B))
& v1_orders_2(k1_latsum_1(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A,B] :
( ~ v1_xboole_0(A)
=> ~ v1_xboole_0(k2_xboole_0(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
? [A] : v1_xboole_0(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [A,B] : k2_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,plain,
? [A] :
( ? [B] :
( ? [C] :
( ~ r2_hidden(C,k4_xboole_0(u1_struct_0(B),u1_struct_0(A)))
& ~ r2_hidden(C,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) )
& l1_orders_2(B)
& ~ v3_struct_0(B) )
& l1_orders_2(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( ~ r2_hidden(sK2_skl,k4_xboole_0(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl)))
& ~ r2_hidden(sK2_skl,u1_struct_0(sK0_skl))
& m1_subset_1(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))
& l1_orders_2(sK1_skl)
& ~ v3_struct_0(sK1_skl)
& l1_orders_2(sK0_skl)
& ~ v3_struct_0(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f57]) ).
fof(f60,plain,
l1_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f61,plain,
~ v3_struct_0(sK1_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f62,plain,
l1_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f63,plain,
m1_subset_1(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl))),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f64,plain,
~ r2_hidden(sK2_skl,u1_struct_0(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f65,plain,
~ r2_hidden(sK2_skl,k4_xboole_0(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f74,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C = k1_latsum_1(A,B)
<=> ( u1_orders_2(C) = k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B)))
& u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) ) )
| ~ l1_orders_2(C)
| ~ v1_orders_2(C) )
| ~ l1_orders_2(B) )
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f75,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( u1_orders_2(C) != k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B)))
| u1_struct_0(C) != k2_xboole_0(u1_struct_0(A),u1_struct_0(B))
| C = k1_latsum_1(A,B) )
& ( ( u1_orders_2(C) = k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B)))
& u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) )
| C != k1_latsum_1(A,B) ) )
| ~ l1_orders_2(C)
| ~ v1_orders_2(C) )
| ~ l1_orders_2(B) )
| ~ l1_orders_2(A) ),
inference(NNF_transformation,[status(thm)],[f74]) ).
fof(f76,plain,
! [X0,X1,X2] :
( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| X2 != k1_latsum_1(X0,X1)
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,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)],[f8]) ).
fof(f80,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)],[f79]) ).
fof(f81,plain,
( ! [A,B,C] :
( ( ( r2_hidden(sK3_skl(C,B,A),B)
| r2_hidden(sK3_skl(C,B,A),A)
| r2_hidden(sK3_skl(C,B,A),C) )
& ( ( ~ r2_hidden(sK3_skl(C,B,A),B)
& ~ r2_hidden(sK3_skl(C,B,A),A) )
| ~ r2_hidden(sK3_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,[sK3_skl]),skolemize(D,sK3_skl(C,B,A))],[f80]) ).
fof(f82,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)],[f81]) ).
fof(f91,plain,
! [A,B] :
( ( l1_orders_2(k1_latsum_1(A,B))
& v1_orders_2(k1_latsum_1(A,B)) )
| ~ l1_orders_2(B)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f92,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f98,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f99,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f117,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f118,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f126,plain,
! [A,B] :
( ~ v1_xboole_0(k2_xboole_0(B,A))
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f127,plain,
! [A] :
( ! [B] : ~ v1_xboole_0(k2_xboole_0(B,A))
| v1_xboole_0(A) ),
inference(miniscoping,[status(thm)],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X1,X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f134,plain,
v1_xboole_0(sK9_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f38]) ).
fof(f135,plain,
v1_xboole_0(sK9_skl),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f156,plain,
! [A,B] :
( r2_hidden(A,B)
| v1_xboole_0(B)
| ~ m1_subset_1(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f157,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f171,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f172,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f179,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f76]) ).
fof(f181,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)],[f82]) ).
fof(f185,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f179,f92]) ).
fof(f187,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f93]) ).
fof(f193,plain,
! [X0] :
( u1_struct_0(k1_latsum_1(X0,sK1_skl)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1_skl))
| ~ l1_orders_2(X0) ),
inference(resolution,[status(thm)],[f187,f62]) ).
fof(f201,plain,
sK9_skl = k1_xboole_0,
inference(resolution,[status(thm)],[f172,f135]) ).
fof(f203,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| X0 = k1_xboole_0 ),
inference(resolution,[status(thm)],[f172,f157]) ).
fof(f204,plain,
! [X0] :
( X0 = sK9_skl
| ~ v1_xboole_0(X0) ),
inference(backward_demodulation,[status(thm)],[f201,f172]) ).
fof(f209,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| X0 = sK9_skl ),
inference(forward_demodulation,[status(thm)],[f201,f203]) ).
fof(f228,plain,
u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)) = k2_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),
inference(resolution,[status(thm)],[f193,f60]) ).
fof(f254,definition,
( sQ5_spl
<=> l1_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ5_spl
| ~ l1_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f290,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f62]) ).
fof(f291,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f290]) ).
fof(f313,plain,
( r2_hidden(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))
| u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)) = sK9_skl ),
inference(resolution,[status(thm)],[f209,f63]) ).
fof(f314,definition,
( sQ11_spl
<=> u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ11_spl
| u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)) = sK9_skl ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ12_spl
<=> r2_hidden(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ12_spl
| r2_hidden(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl))) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f313,f314,f317]) ).
fof(f322,plain,
( ~ sQ11_spl
| sK9_skl = k2_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f315,f228]) ).
fof(f400,plain,
! [X0,X1] :
( X1 = sK9_skl
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(resolution,[status(thm)],[f128,f204]) ).
fof(f428,plain,
! [X0] :
( r2_hidden(sK2_skl,X0)
| ~ r2_hidden(sK2_skl,k2_xboole_0(X0,k4_xboole_0(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl)))) ),
inference(resolution,[status(thm)],[f181,f65]) ).
fof(f491,plain,
( r2_hidden(sK2_skl,u1_struct_0(sK0_skl))
| ~ r2_hidden(sK2_skl,k2_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))) ),
inference(paramodulation,[status(thm)],[f158,f428]) ).
fof(f499,definition,
( sQ23_spl
<=> r2_hidden(sK2_skl,k2_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( sQ23_spl
| ~ r2_hidden(sK2_skl,k2_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ24_spl
<=> r2_hidden(sK2_skl,u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ24_spl
| r2_hidden(sK2_skl,u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f491,f499,f502]) ).
fof(f507,plain,
( sQ23_spl
| ~ r2_hidden(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f228,f501]) ).
fof(f508,plain,
( sQ23_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f318]) ).
fof(f509,plain,
( sQ23_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f512,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f64]) ).
fof(f513,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f728,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f118,f99]) ).
fof(f803,plain,
( ~ sQ11_spl
| u1_struct_0(sK1_skl) = sK9_skl
| ~ v1_xboole_0(sK9_skl) ),
inference(paramodulation,[status(thm)],[f322,f400]) ).
fof(f805,definition,
( sQ34_spl
<=> v1_xboole_0(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( sQ34_spl
| ~ v1_xboole_0(sK9_skl) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,definition,
( sQ35_spl
<=> u1_struct_0(sK1_skl) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( ~ sQ35_spl
| u1_struct_0(sK1_skl) = sK9_skl ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( ~ sQ11_spl
| sQ35_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f803,f805,f808,f314]) ).
fof(f816,plain,
( sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f807,f135]) ).
fof(f817,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f1199,plain,
( ~ l1_orders_2(sK1_skl)
| ~ v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(resolution,[status(thm)],[f728,f61]) ).
fof(f1207,definition,
( sQ60_spl
<=> v1_xboole_0(u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( sQ60_spl
| ~ v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f1207]) ).
fof(f1210,plain,
( ~ sQ5_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1199,f1207,f254]) ).
fof(f1215,plain,
( sQ60_spl
| ~ sQ35_spl
| ~ v1_xboole_0(sK9_skl) ),
inference(forward_demodulation,[status(thm)],[f809,f1209]) ).
fof(f1216,plain,
( sQ60_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1215,f135]) ).
fof(f1217,plain,
( sQ60_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1216]) ).
fof(f1218,plain,
$false,
inference(sat_refutation,[status(thm)],[f291,f320,f505,f509,f513,f811,f817,f1210,f1217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU407+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.62 % Computer : n013.cluster.edu
% 0.14/0.62 % Model : x86_64 x86_64
% 0.14/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.62 % Memory : 8046.5625MB
% 0.14/0.62 % OS : Linux 6.8.0-71-generic
% 0.14/0.62 % CPULimit : 300
% 0.14/0.62 % WCLimit : 300
% 0.14/0.62 % DateTime : Mon Sep 21 06:20:07 UTC 2026
% 0.14/0.63 % CPUTime :
% 0.14/0.65 % Drodi V4.1.1
% 0.18/0.93 % Refutation found
% 0.18/0.93 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.96 % Elapsed time: 0.310140 seconds
% 0.18/0.96 % CPU time: 2.222201 seconds
% 0.18/0.96 % Total memory used: 133.085 MB
% 0.18/0.96 % Net memory used: 130.511 MB
%------------------------------------------------------------------------------