TSTP Solution File: SEU407+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU407+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:58:48 EDT 2023
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 99 ( 31 unt; 0 def)
% Number of atoms : 354 ( 54 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 428 ( 173 ~; 141 |; 88 &)
% ( 8 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-6 aty)
% Number of variables : 124 (; 105 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f858,plain,
$false,
inference(avatar_sat_refutation,[],[f274,f293,f848,f857]) ).
fof(f857,plain,
~ spl18_5,
inference(avatar_split_clause,[],[f851,f263]) ).
fof(f263,plain,
( spl18_5
<=> v3_struct_0(sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
fof(f851,plain,
~ v3_struct_0(sF16),
inference(subsumption_resolution,[],[f850,f132]) ).
fof(f132,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
& ~ r2_hidden(sK2,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
& l1_orders_2(sK1)
& ~ v3_struct_0(sK1)
& l1_orders_2(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f61,f103,f102,f101]) ).
fof(f101,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK0)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK0)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& l1_orders_2(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
=> ( ~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
& ~ r2_hidden(sK2,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
| r2_hidden(X2,u1_struct_0(X0)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
| r2_hidden(X2,u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',t7_latsum_1) ).
fof(f850,plain,
( ~ v3_struct_0(sF16)
| ~ l1_orders_2(sK0) ),
inference(subsumption_resolution,[],[f849,f133]) ).
fof(f133,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f849,plain,
( ~ v3_struct_0(sF16)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0) ),
inference(subsumption_resolution,[],[f399,f134]) ).
fof(f134,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f399,plain,
( ~ v3_struct_0(sF16)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f169,f208]) ).
fof(f208,plain,
k1_latsum_1(sK0,sK1) = sF16,
introduced(function_definition,[]) ).
fof(f169,plain,
! [X0,X1] :
( ~ v3_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& ~ v3_struct_0(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& ~ v3_struct_0(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0) )
=> ( v1_orders_2(k1_latsum_1(X0,X1))
& ~ v3_struct_0(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',fc1_latsum_1) ).
fof(f848,plain,
spl18_7,
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f847,plain,
( $false
| spl18_7 ),
inference(subsumption_resolution,[],[f842,f279]) ).
fof(f279,plain,
( r2_hidden(sK2,sF17)
| spl18_7 ),
inference(subsumption_resolution,[],[f276,f273]) ).
fof(f273,plain,
( ~ v1_xboole_0(sF17)
| spl18_7 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl18_7
<=> v1_xboole_0(sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
fof(f276,plain,
( v1_xboole_0(sF17)
| r2_hidden(sK2,sF17) ),
inference(resolution,[],[f161,f210]) ).
fof(f210,plain,
m1_subset_1(sK2,sF17),
inference(definition_folding,[],[f135,f209,f208]) ).
fof(f209,plain,
u1_struct_0(sF16) = sF17,
introduced(function_definition,[]) ).
fof(f135,plain,
m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f104]) ).
fof(f161,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',t2_subset) ).
fof(f842,plain,
~ r2_hidden(sK2,sF17),
inference(backward_demodulation,[],[f682,f838]) ).
fof(f838,plain,
sF17 = k2_xboole_0(sF14,sF13),
inference(forward_demodulation,[],[f837,f209]) ).
fof(f837,plain,
u1_struct_0(sF16) = k2_xboole_0(sF14,sF13),
inference(forward_demodulation,[],[f836,f208]) ).
fof(f836,plain,
u1_struct_0(k1_latsum_1(sK0,sK1)) = k2_xboole_0(sF14,sF13),
inference(forward_demodulation,[],[f835,f155]) ).
fof(f155,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',commutativity_k2_xboole_0) ).
fof(f835,plain,
u1_struct_0(k1_latsum_1(sK0,sK1)) = k2_xboole_0(sF13,sF14),
inference(forward_demodulation,[],[f831,f204]) ).
fof(f204,plain,
u1_struct_0(sK0) = sF14,
introduced(function_definition,[]) ).
fof(f831,plain,
u1_struct_0(k1_latsum_1(sK0,sK1)) = k2_xboole_0(sF13,u1_struct_0(sK0)),
inference(resolution,[],[f635,f132]) ).
fof(f635,plain,
! [X7] :
( ~ l1_orders_2(X7)
| u1_struct_0(k1_latsum_1(X7,sK1)) = k2_xboole_0(sF13,u1_struct_0(X7)) ),
inference(forward_demodulation,[],[f634,f155]) ).
fof(f634,plain,
! [X7] :
( u1_struct_0(k1_latsum_1(X7,sK1)) = k2_xboole_0(u1_struct_0(X7),sF13)
| ~ l1_orders_2(X7) ),
inference(forward_demodulation,[],[f629,f203]) ).
fof(f203,plain,
u1_struct_0(sK1) = sF13,
introduced(function_definition,[]) ).
fof(f629,plain,
! [X7] :
( u1_struct_0(k1_latsum_1(X7,sK1)) = k2_xboole_0(u1_struct_0(X7),u1_struct_0(sK1))
| ~ l1_orders_2(X7) ),
inference(resolution,[],[f613,f134]) ).
fof(f613,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0) ),
inference(subsumption_resolution,[],[f612,f171]) ).
fof(f171,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,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(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,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(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& l1_orders_2(X0) )
=> ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',dt_k1_latsum_1) ).
fof(f612,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(subsumption_resolution,[],[f199,f172]) ).
fof(f172,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f199,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(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| k1_latsum_1(X0,X1) != X2
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k1_latsum_1(X0,X1) = X2
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
& ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k1_latsum_1(X0,X1) = X2
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
& ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_latsum_1(X0,X1) = X2
<=> ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_latsum_1(X0,X1) = X2
<=> ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( l1_orders_2(X2)
& v1_orders_2(X2) )
=> ( k1_latsum_1(X0,X1) = X2
<=> ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',d2_latsum_1) ).
fof(f682,plain,
~ r2_hidden(sK2,k2_xboole_0(sF14,sF13)),
inference(subsumption_resolution,[],[f681,f207]) ).
fof(f207,plain,
~ r2_hidden(sK2,sF14),
inference(definition_folding,[],[f136,f204]) ).
fof(f136,plain,
~ r2_hidden(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f104]) ).
fof(f681,plain,
( ~ r2_hidden(sK2,k2_xboole_0(sF14,sF13))
| r2_hidden(sK2,sF14) ),
inference(superposition,[],[f535,f341]) ).
fof(f341,plain,
k2_xboole_0(sF14,sF13) = k2_xboole_0(sF14,sF15),
inference(superposition,[],[f156,f205]) ).
fof(f205,plain,
k4_xboole_0(sF13,sF14) = sF15,
introduced(function_definition,[]) ).
fof(f156,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',t39_xboole_1) ).
fof(f535,plain,
! [X28] :
( ~ r2_hidden(sK2,k2_xboole_0(X28,sF15))
| r2_hidden(sK2,X28) ),
inference(resolution,[],[f202,f206]) ).
fof(f206,plain,
~ r2_hidden(sK2,sF15),
inference(definition_folding,[],[f137,f205,f204,f203]) ).
fof(f137,plain,
~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0))),
inference(cnf_transformation,[],[f104]) ).
fof(f202,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ( ( ( ~ r2_hidden(sK7(X0,X1,X2),X1)
& ~ r2_hidden(sK7(X0,X1,X2),X0) )
| ~ r2_hidden(sK7(X0,X1,X2),X2) )
& ( r2_hidden(sK7(X0,X1,X2),X1)
| r2_hidden(sK7(X0,X1,X2),X0)
| r2_hidden(sK7(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) ) )
& ( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f118,f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) )
=> ( ( ( ~ r2_hidden(sK7(X0,X1,X2),X1)
& ~ r2_hidden(sK7(X0,X1,X2),X0) )
| ~ r2_hidden(sK7(X0,X1,X2),X2) )
& ( r2_hidden(sK7(X0,X1,X2),X1)
| r2_hidden(sK7(X0,X1,X2),X0)
| r2_hidden(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) ) )
& ( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( k2_xboole_0(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',d2_xboole_0) ).
fof(f293,plain,
spl18_6,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| spl18_6 ),
inference(subsumption_resolution,[],[f291,f132]) ).
fof(f291,plain,
( ~ l1_orders_2(sK0)
| spl18_6 ),
inference(subsumption_resolution,[],[f290,f134]) ).
fof(f290,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| spl18_6 ),
inference(subsumption_resolution,[],[f289,f275]) ).
fof(f275,plain,
( ~ l1_orders_2(sF16)
| spl18_6 ),
inference(resolution,[],[f269,f143]) ).
fof(f143,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',dt_l1_orders_2) ).
fof(f269,plain,
( ~ l1_struct_0(sF16)
| spl18_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl18_6
<=> l1_struct_0(sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).
fof(f289,plain,
( l1_orders_2(sF16)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f172,f208]) ).
fof(f274,plain,
( spl18_5
| ~ spl18_6
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f220,f271,f267,f263]) ).
fof(f220,plain,
( ~ v1_xboole_0(sF17)
| ~ l1_struct_0(sF16)
| v3_struct_0(sF16) ),
inference(superposition,[],[f149,f209]) ).
fof(f149,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608',fc1_struct_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU407+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 15:29:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.PXN9lGHj3x/Vampire---4.8_10608
% 0.14/0.37 % (10783)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (10785)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.43 % (10784)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.43 % (10787)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.43 % (10786)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.43 % (10789)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.43 % (10788)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.43 % (10790)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.43 % (10787)Refutation not found, incomplete strategy% (10787)------------------------------
% 0.22/0.43 % (10787)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (10787)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (10787)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (10787)Memory used [KB]: 10106
% 0.22/0.43 % (10787)Time elapsed: 0.007 s
% 0.22/0.43 % (10787)------------------------------
% 0.22/0.43 % (10787)------------------------------
% 0.22/0.45 % (10789)First to succeed.
% 0.22/0.45 % (10789)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (10789)------------------------------
% 0.22/0.45 % (10789)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (10789)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (10789)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (10789)Memory used [KB]: 5884
% 0.22/0.45 % (10789)Time elapsed: 0.024 s
% 0.22/0.45 % (10789)------------------------------
% 0.22/0.45 % (10789)------------------------------
% 0.22/0.45 % (10783)Success in time 0.082 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------