%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n010.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 01:08:06 PM UTC 2026
% Result : Theorem 1.88s 0.71s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 32
% Syntax : Number of formulae : 150 ( 60 unt; 14 def)
% Number of atoms : 301 ( 134 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 245 ( 94 ~; 112 |; 19 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 94 ( 0 sgn 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f45,axiom,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',sel3_update_2) ).
fof(f48,axiom,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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(f82,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f84,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f85,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f86,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_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(f101,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
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(f157,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f192,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f195,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f197,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f281,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
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(f328,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f82]) ).
fof(f330,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f331,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f332,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f333,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(f334,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,[],[f333]) ).
fof(f335,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f295]) ).
fof(f337,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(f339,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,[],[f337]) ).
fof(f341,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(f343,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,[],[f341]) ).
fof(f345,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(f347,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,[],[f345]) ).
fof(f349,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(f351,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,[],[f349]) ).
fof(f353,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(f355,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,[],[f353]) ).
fof(f357,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(f359,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,[],[f357]) ).
fof(f360,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f300,f357,f353,f349,f345,f341,f337]) ).
fof(f367,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f331,f330]) ).
fof(f377,plain,
n3 = succ(succ(n1)),
inference(forward_demodulation,[],[f332,f330]) ).
fof(f378,plain,
n3 = succ(n2),
inference(forward_demodulation,[],[f377,f367]) ).
fof(f395,plain,
n4 = succ(succ(succ(n1))),
inference(forward_demodulation,[],[f328,f330]) ).
fof(f396,plain,
n4 = succ(succ(n2)),
inference(forward_demodulation,[],[f395,f367]) ).
fof(f397,plain,
n4 = succ(n3),
inference(forward_demodulation,[],[f396,f378]) ).
fof(f399,plain,
n3 = pred(n4),
inference(superposition,[],[f281,f397]) ).
fof(f402,plain,
! [X0] : ~ leq(X0,pred(X0)),
inference(resolution,[],[f197,f192]) ).
fof(f409,plain,
~ leq(n4,n3),
inference(superposition,[],[f402,f399]) ).
fof(f462,plain,
~ gt(n3,n4),
inference(resolution,[],[f409,f195]) ).
fof(f587,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,[],[f339,f335]) ).
fof(f589,definition,
( spl31_7
<=> n3 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f591,plain,
( n3 = n5
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f593,definition,
( spl31_8
<=> 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_8])],[avatar_definition]) ).
fof(f595,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_8 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
( spl31_7
| ~ spl31_8
| spl31_1 ),
inference(avatar_split_clause,[],[f587,f337,f593,f589]) ).
fof(f597,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_8 ),
inference(superposition,[],[f595,f335]) ).
fof(f599,definition,
( spl31_9
<=> n4 = n5 ),
introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).
fof(f601,plain,
( n4 = n5
| ~ spl31_9 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f603,definition,
( spl31_10
<=> 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_10])],[avatar_definition]) ).
fof(f605,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5)
| spl31_10 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f606,plain,
( spl31_9
| ~ spl31_10
| spl31_8 ),
inference(avatar_split_clause,[],[f597,f593,f603,f599]) ).
fof(f607,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n5)
| n3 = n5
| spl31_10 ),
inference(superposition,[],[f605,f335]) ).
fof(f608,plain,
( n3 = n5
| spl31_10 ),
inference(forward_subsumption_resolution,[],[f607,f294]) ).
fof(f609,plain,
( spl31_7
| spl31_10 ),
inference(avatar_split_clause,[],[f608,f603,f589]) ).
fof(f614,plain,
( gt(n3,n4)
| ~ spl31_7 ),
inference(superposition,[],[f301,f591]) ).
fof(f629,plain,
( $false
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f614,f462]) ).
fof(f630,plain,
~ spl31_7,
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f635,plain,
( gt(n4,n4)
| ~ spl31_9 ),
inference(superposition,[],[f301,f601]) ).
fof(f646,plain,
( $false
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f635,f192]) ).
fof(f647,plain,
~ spl31_9,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f653,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,[],[f343,f335]) ).
fof(f654,plain,
( n3 = n4
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f653,f294]) ).
fof(f660,plain,
( gt(n3,n3)
| spl31_2 ),
inference(superposition,[],[f320,f654]) ).
fof(f679,plain,
( $false
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f660,f192]) ).
fof(f680,plain,
spl31_2,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f685,plain,
( $false
| spl31_3 ),
inference(forward_subsumption_resolution,[],[f347,f294]) ).
fof(f686,plain,
spl31_3,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f691,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,[],[f351,f334]) ).
fof(f693,definition,
( spl31_11
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl31_11])],[avatar_definition]) ).
fof(f695,plain,
( n0 = n2
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f697,definition,
( spl31_12
<=> 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_12])],[avatar_definition]) ).
fof(f699,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_12 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f700,plain,
( spl31_11
| ~ spl31_12
| spl31_4 ),
inference(avatar_split_clause,[],[f691,f349,f697,f693]) ).
fof(f703,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_12 ),
inference(superposition,[],[f699,f334]) ).
fof(f705,definition,
( spl31_13
<=> n1 = n2 ),
introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).
fof(f707,plain,
( n1 = n2
| ~ spl31_13 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f709,definition,
( spl31_14
<=> 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_14])],[avatar_definition]) ).
fof(f711,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_14 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,plain,
( spl31_13
| ~ spl31_14
| spl31_12 ),
inference(avatar_split_clause,[],[f703,f697,f709,f705]) ).
fof(f717,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_14 ),
inference(superposition,[],[f711,f334]) ).
fof(f718,plain,
( n0 = n2
| spl31_14 ),
inference(forward_subsumption_resolution,[],[f717,f287]) ).
fof(f719,plain,
( spl31_11
| spl31_14 ),
inference(avatar_split_clause,[],[f718,f709,f693]) ).
fof(f728,plain,
( gt(n0,n0)
| ~ spl31_11 ),
inference(superposition,[],[f311,f695]) ).
fof(f758,plain,
( $false
| ~ spl31_11 ),
inference(forward_subsumption_resolution,[],[f728,f192]) ).
fof(f759,plain,
~ spl31_11,
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f771,plain,
( gt(n1,n1)
| ~ spl31_13 ),
inference(superposition,[],[f315,f707]) ).
fof(f795,plain,
( $false
| ~ spl31_13 ),
inference(forward_subsumption_resolution,[],[f771,f192]) ).
fof(f796,plain,
~ spl31_13,
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f805,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,[],[f355,f334]) ).
fof(f806,plain,
( n0 = n1
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f805,f287]) ).
fof(f811,plain,
( gt(n0,n0)
| spl31_5 ),
inference(superposition,[],[f310,f806]) ).
fof(f833,plain,
( $false
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f811,f192]) ).
fof(f834,plain,
spl31_5,
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f837,plain,
( $false
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f359,f287]) ).
fof(f838,plain,
spl31_6,
inference(avatar_contradiction_clause,[],[f837]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5
| ~ spl31_6 ),
inference(sat_conversion,[],[f360]) ).
cnf(s2,plain,
( spl31_1
| spl31_7
| ~ spl31_8 ),
inference(sat_conversion,[],[f596]) ).
cnf(s3,plain,
( spl31_8
| spl31_9
| ~ spl31_10 ),
inference(sat_conversion,[],[f606]) ).
cnf(s4,plain,
( spl31_7
| spl31_10 ),
inference(sat_conversion,[],[f609]) ).
cnf(s8,plain,
~ spl31_7,
inference(sat_conversion,[],[f630]) ).
cnf(s10,plain,
~ spl31_9,
inference(sat_conversion,[],[f647]) ).
cnf(s15,plain,
spl31_2,
inference(sat_conversion,[],[f680]) ).
cnf(s17,plain,
spl31_3,
inference(sat_conversion,[],[f686]) ).
cnf(s18,plain,
( spl31_4
| spl31_11
| ~ spl31_12 ),
inference(sat_conversion,[],[f700]) ).
cnf(s19,plain,
( spl31_12
| spl31_13
| ~ spl31_14 ),
inference(sat_conversion,[],[f712]) ).
cnf(s20,plain,
( spl31_11
| spl31_14 ),
inference(sat_conversion,[],[f719]) ).
cnf(s26,plain,
~ spl31_11,
inference(sat_conversion,[],[f759]) ).
cnf(s29,plain,
~ spl31_13,
inference(sat_conversion,[],[f796]) ).
cnf(s34,plain,
spl31_5,
inference(sat_conversion,[],[f834]) ).
cnf(s36,plain,
spl31_6,
inference(sat_conversion,[],[f838]) ).
cnf(s37,plain,
spl31_14,
inference(rat,[],[s20,s26]) ).
cnf(s38,plain,
spl31_12,
inference(rat,[],[s19,s37,s29]) ).
cnf(s39,plain,
spl31_4,
inference(rat,[],[s18,s38,s26]) ).
cnf(s40,plain,
spl31_10,
inference(rat,[],[s4,s8]) ).
cnf(s41,plain,
spl31_8,
inference(rat,[],[s3,s40,s10]) ).
cnf(s42,plain,
spl31_1,
inference(rat,[],[s2,s41,s8]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s1,s36,s34,s39,s17,s15,s42]) ).
fof(f839,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV089+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:52:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.88/0.71 % (1816141)Detected formulas, will run a generic FOF schedule.
% 1.88/0.71 % (1816151)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1641589215:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.88/0.71 % (1816151)First to succeed.
% 1.88/0.71 % (1816151)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1816141"
% 1.88/0.71 % (1816148)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1174477358:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.88/0.71 % (1816152)dis-21_1_sil=8000:lcm=predicate:random_seed=675299858:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.88/0.71 % (1816150)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=656188866:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.88/0.71 % (1816146)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2683599556:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.88/0.71 % (1816147)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=301087043:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.88/0.71 % (1816149)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3281560916:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.88/0.71 % (1816149)Also succeeded, but the first one will report.
% 1.88/0.71 % (1816150)Instruction limit reached!
% 1.88/0.71 % (1816150)------------------------------
% 1.88/0.71 % (1816150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/0.71 % (1816150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.71 % (1816150)CaDiCaL version: 2.1.3
% 1.88/0.71 % (1816150)Termination reason: Instruction limit
% 1.88/0.71 % (1816150)Termination phase: Saturation
% 1.88/0.71 % (1816150)Time elapsed: 0.071 s
% 1.88/0.71 % (1816150)Peak memory usage: 88 MB
% 1.88/0.71 % (1816150)Instructions burned: 120 (million)
% 1.88/0.71 % (1816152)Instruction limit reached!
% 1.88/0.71 % (1816152)------------------------------
% 1.88/0.71 % (1816152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/0.71 % (1816152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.71 % (1816152)CaDiCaL version: 2.1.3
% 1.88/0.71 % (1816152)Termination reason: Instruction limit
% 1.88/0.71 % (1816152)Termination phase: Saturation
% 1.88/0.71 % (1816152)Time elapsed: 0.073 s
% 1.88/0.71 % (1816152)Peak memory usage: 88 MB
% 1.88/0.71 % (1816152)Instructions burned: 129 (million)
% 1.88/0.71 % (1816151)Refutation found. Thanks to Tanya!
% 1.88/0.71 % SZS status Theorem for theBenchmark
% 1.88/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.81 % (1816151)------------------------------
% 0.19/0.81 % (1816151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/0.81 % (1816151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.81 % (1816151)CaDiCaL version: 2.1.3
% 0.19/0.81 % (1816151)Termination reason: Refutation
% 0.19/0.81 % (1816151)Time elapsed: 0.012 s
% 0.19/0.81 % (1816151)Peak memory usage: 90 MB
% 0.19/0.81 % (1816151)Instructions burned: 33 (million)
% 0.19/0.81 % (1816151)------------------------------
% 0.19/0.81 % (1816151)------------------------------
% 0.19/0.81 % (1816141)Success in time 0.294 s
% 0.19/0.81 % Vampire exiting
%------------------------------------------------------------------------------