%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV089+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 : Tue Sep 29 01:20:11 PM UTC 2026
% Result : Theorem 0.23s 0.33s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 126 ( 42 unt; 14 def)
% Number of atoms : 269 ( 117 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 229 ( 86 ~; 107 |; 18 &)
% ( 14 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 16 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-4 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f45,axiom,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel3_update_1) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X0 != X2
& X1 = X3
& a_select3(X4,X2,X3) = X5 )
=> a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel3_update_2) ).
fof(f48,axiom,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( X0 != X1
& a_select2(X2,X1) = X3 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
fof(f53,conjecture,
( true
=> ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0001) ).
fof(f54,negated_conjecture,
~ ( true
=> ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f95,plain,
~ ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use ),
inference(pure_predicate_removal,[],[f54]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| X0 = X2
| X1 != X3
| a_select3(X4,X2,X3) != X5 ),
inference(ennf_transformation,[],[f46]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| X0 = X2
| X1 != X3
| a_select3(X4,X2,X3) != X5 ),
inference(flattening,[],[f129]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1
| a_select2(X2,X1) != X3 ),
inference(ennf_transformation,[],[f49]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1
| a_select2(X2,X1) != X3 ),
inference(flattening,[],[f133]) ).
fof(f137,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0)
| use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
| use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) ),
inference(ennf_transformation,[],[f95]) ).
fof(f192,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f287,plain,
! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f45]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| X0 = X2
| X1 != X3
| a_select3(X4,X2,X3) != X5 ),
inference(cnf_transformation,[],[f130]) ).
fof(f294,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1
| a_select2(X2,X1) != X3 ),
inference(cnf_transformation,[],[f134]) ).
fof(f300,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0)
| use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
| use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) ),
inference(cnf_transformation,[],[f137]) ).
fof(f301,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f310,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f311,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f315,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f69]) ).
fof(f320,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f321,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f359,plain,
! [X2,X3,X0,X6,X4,X5] :
( a_select3(tptp_update3(X4,X0,X3,X6),X2,X3) = X5
| X0 = X2
| a_select3(X4,X2,X3) != X5 ),
inference(equality_resolution,[],[f288]) ).
fof(f360,plain,
! [X2,X3,X0,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
| X0 = X2 ),
inference(equality_resolution,[],[f359]) ).
fof(f361,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f295]) ).
fof(f363,definition,
( spl31_1
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f365,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)
| spl31_1 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f367,definition,
( spl31_2
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f369,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)
| spl31_2 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f371,definition,
( spl31_3
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f373,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)
| spl31_3 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f375,definition,
( spl31_4
<=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f377,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)
| spl31_4 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f379,definition,
( spl31_5
<=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f381,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)
| spl31_5 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f383,definition,
( spl31_6
<=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f385,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0)
| spl31_6 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f386,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f300,f383,f379,f375,f371,f367,f363]) ).
fof(f691,definition,
( spl31_14
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition]) ).
fof(f693,plain,
( n0 = n2
| ~ spl31_14 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f870,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)
| n3 = n5
| spl31_1 ),
inference(superposition,[],[f365,f361]) ).
fof(f872,definition,
( spl31_21
<=> n3 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_21])],[avatar_definition]) ).
fof(f874,plain,
( n3 = n5
| ~ spl31_21 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f876,definition,
( spl31_22
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5) ),
introduced(definition,[new_symbols(definition,[spl31_22])],[avatar_definition]) ).
fof(f878,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)
| spl31_22 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f879,plain,
( spl31_21
| ~ spl31_22
| spl31_1 ),
inference(avatar_split_clause,[],[f870,f363,f876,f872]) ).
fof(f880,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5)
| n4 = n5
| spl31_22 ),
inference(superposition,[],[f878,f361]) ).
fof(f882,definition,
( spl31_23
<=> n4 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_23])],[avatar_definition]) ).
fof(f884,plain,
( n4 = n5
| ~ spl31_23 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f886,definition,
( spl31_24
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5) ),
introduced(definition,[new_symbols(definition,[spl31_24])],[avatar_definition]) ).
fof(f888,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5)
| spl31_24 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f889,plain,
( spl31_23
| ~ spl31_24
| spl31_22 ),
inference(avatar_split_clause,[],[f880,f876,f886,f882]) ).
fof(f936,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n5)
| n3 = n5
| spl31_24 ),
inference(superposition,[],[f888,f361]) ).
fof(f937,plain,
( n3 = n5
| spl31_24 ),
inference(forward_subsumption_resolution,[],[f936,f294]) ).
fof(f938,plain,
( spl31_21
| spl31_24 ),
inference(avatar_split_clause,[],[f937,f886,f872]) ).
fof(f982,plain,
( gt(n3,n3)
| ~ spl31_21 ),
inference(superposition,[],[f321,f874]) ).
fof(f1000,plain,
( $false
| ~ spl31_21 ),
inference(forward_subsumption_resolution,[],[f982,f192]) ).
fof(f1001,plain,
~ spl31_21,
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1011,plain,
( gt(n4,n4)
| ~ spl31_23 ),
inference(superposition,[],[f301,f884]) ).
fof(f1030,plain,
( $false
| ~ spl31_23 ),
inference(forward_subsumption_resolution,[],[f1011,f192]) ).
fof(f1031,plain,
~ spl31_23,
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1037,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n4)
| n3 = n4
| spl31_2 ),
inference(superposition,[],[f369,f361]) ).
fof(f1038,plain,
( n3 = n4
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f1037,f294]) ).
fof(f1044,plain,
( gt(n3,n3)
| spl31_2 ),
inference(superposition,[],[f320,f1038]) ).
fof(f1064,plain,
( $false
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f1044,f192]) ).
fof(f1065,plain,
spl31_2,
inference(avatar_contradiction_clause,[],[f1064]) ).
fof(f1069,plain,
( $false
| spl31_3 ),
inference(forward_subsumption_resolution,[],[f373,f294]) ).
fof(f1070,plain,
spl31_3,
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1089,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0)
| n0 = n2
| spl31_4 ),
inference(superposition,[],[f377,f360]) ).
fof(f1091,definition,
( spl31_29
<=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0) ),
introduced(definition,[new_symbols(definition,[spl31_29])],[avatar_definition]) ).
fof(f1093,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0)
| spl31_29 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1094,plain,
( spl31_14
| ~ spl31_29
| spl31_4 ),
inference(avatar_split_clause,[],[f1089,f375,f1091,f691]) ).
fof(f1095,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0)
| n1 = n2
| spl31_29 ),
inference(superposition,[],[f1093,f360]) ).
fof(f1097,definition,
( spl31_30
<=> n1 = n2 ),
introduced(definition,[new_symbols(definition,[spl31_30])],[avatar_definition]) ).
fof(f1099,plain,
( n1 = n2
| ~ spl31_30 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1101,definition,
( spl31_31
<=> use = a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0) ),
introduced(definition,[new_symbols(definition,[spl31_31])],[avatar_definition]) ).
fof(f1103,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0)
| spl31_31 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1104,plain,
( spl31_30
| ~ spl31_31
| spl31_29 ),
inference(avatar_split_clause,[],[f1095,f1091,f1101,f1097]) ).
fof(f1131,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n2,n0)
| n0 = n2
| spl31_31 ),
inference(superposition,[],[f1103,f360]) ).
fof(f1132,plain,
( n0 = n2
| spl31_31 ),
inference(forward_subsumption_resolution,[],[f1131,f287]) ).
fof(f1133,plain,
( spl31_14
| spl31_31 ),
inference(avatar_split_clause,[],[f1132,f1101,f691]) ).
fof(f1135,plain,
( gt(n0,n0)
| ~ spl31_14 ),
inference(superposition,[],[f311,f693]) ).
fof(f1174,plain,
( $false
| ~ spl31_14 ),
inference(forward_subsumption_resolution,[],[f1135,f192]) ).
fof(f1175,plain,
~ spl31_14,
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1180,plain,
( gt(n1,n1)
| ~ spl31_30 ),
inference(superposition,[],[f315,f1099]) ).
fof(f1216,plain,
( $false
| ~ spl31_30 ),
inference(forward_subsumption_resolution,[],[f1180,f192]) ).
fof(f1217,plain,
~ spl31_30,
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1229,plain,
( use != a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n1,n0)
| n0 = n1
| spl31_5 ),
inference(superposition,[],[f381,f360]) ).
fof(f1230,plain,
( n0 = n1
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f1229,f287]) ).
fof(f1232,plain,
( gt(n0,n0)
| spl31_5 ),
inference(superposition,[],[f310,f1230]) ).
fof(f1293,plain,
( $false
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f1232,f192]) ).
fof(f1294,plain,
spl31_5,
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1295,plain,
( $false
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f385,f287]) ).
fof(f1296,plain,
spl31_6,
inference(avatar_contradiction_clause,[],[f1295]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5
| ~ spl31_6 ),
inference(sat_conversion,[],[f386]) ).
cnf(s9,plain,
( spl31_1
| spl31_21
| ~ spl31_22 ),
inference(sat_conversion,[],[f879]) ).
cnf(s10,plain,
( spl31_22
| spl31_23
| ~ spl31_24 ),
inference(sat_conversion,[],[f889]) ).
cnf(s11,plain,
( spl31_21
| spl31_24 ),
inference(sat_conversion,[],[f938]) ).
cnf(s17,plain,
~ spl31_21,
inference(sat_conversion,[],[f1001]) ).
cnf(s19,plain,
~ spl31_23,
inference(sat_conversion,[],[f1031]) ).
cnf(s24,plain,
spl31_2,
inference(sat_conversion,[],[f1065]) ).
cnf(s26,plain,
spl31_3,
inference(sat_conversion,[],[f1070]) ).
cnf(s27,plain,
( spl31_4
| spl31_14
| ~ spl31_29 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s28,plain,
( spl31_29
| spl31_30
| ~ spl31_31 ),
inference(sat_conversion,[],[f1104]) ).
cnf(s30,plain,
( spl31_14
| spl31_31 ),
inference(sat_conversion,[],[f1133]) ).
cnf(s36,plain,
~ spl31_14,
inference(sat_conversion,[],[f1175]) ).
cnf(s40,plain,
~ spl31_30,
inference(sat_conversion,[],[f1217]) ).
cnf(s46,plain,
spl31_5,
inference(sat_conversion,[],[f1294]) ).
cnf(s47,plain,
spl31_6,
inference(sat_conversion,[],[f1296]) ).
cnf(s48,plain,
spl31_31,
inference(rat,[],[s30,s36]) ).
cnf(s49,plain,
spl31_29,
inference(rat,[],[s28,s48,s40]) ).
cnf(s50,plain,
spl31_4,
inference(rat,[],[s27,s49,s36]) ).
cnf(s51,plain,
spl31_24,
inference(rat,[],[s11,s17]) ).
cnf(s52,plain,
spl31_22,
inference(rat,[],[s10,s51,s19]) ).
cnf(s53,plain,
spl31_1,
inference(rat,[],[s9,s52,s17]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s1,s47,s46,s50,s26,s24,s53]) ).
fof(f1297,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV089+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 % Computer : n007.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Mon Sep 28 09:49:41 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.26 Running first-order model finding
% 0.11/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.33 % (2287465)Will run a generic schedule for satisfiability detection.
% 0.23/0.33 % (2287475)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1649367859:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.33 % (2287471)% WARNING: option uhcvi not known.
% 0.23/0.33 % (2287471)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1436229197:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.33 % (2287473)dis+10_1_sil=32000:sp=arity:random_seed=1438580579:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.33 % (2287472)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1043846261:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.33 % (2287474)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=331322375:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.33 % (2287476)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3923208419:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.33 % (2287470)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2062914188_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.33 % (2287473) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2287465-2287473"...
% 0.23/0.33 % (2287473)...printing done.
% 0.23/0.33 % (2287471) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2287465-2287471"...
% 0.23/0.33 % (2287475)Instruction limit reached!
% 0.23/0.33 % (2287475)------------------------------
% 0.23/0.33 % (2287475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (2287475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (2287475)CaDiCaL version: 2.1.3
% 0.23/0.33 % (2287475)Termination reason: Instruction limit
% 0.23/0.33 % (2287475)Termination phase: Saturation
% 0.23/0.33 % (2287475)Time elapsed: 0.037 s
% 0.23/0.33 % (2287475)Peak memory usage: 12 MB
% 0.23/0.33 % (2287475)Instructions burned: 131 (million)
% 0.23/0.33 % (2287473)Refutation found. Thanks to Tanya!
% 0.23/0.33 % SZS status Theorem for theBenchmark
% 0.23/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.33 % (2287473)------------------------------
% 0.23/0.33 % (2287473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (2287473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (2287473)CaDiCaL version: 2.1.3
% 0.23/0.33 % (2287473)Termination reason: Refutation
% 0.23/0.33 % (2287473)Time elapsed: 0.027 s
% 0.23/0.33 % (2287473)Peak memory usage: 13 MB
% 0.23/0.33 % (2287473)Instructions burned: 45 (million)
% 0.23/0.33 % (2287465)Success in time 0.053 s
% 0.23/0.33 % Vampire exiting
%------------------------------------------------------------------------------