%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT114+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:02:24 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.30s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 90 ( 30 unt; 6 def)
% Number of atoms : 377 ( 49 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 482 ( 195 ~; 202 |; 72 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 114 ( 0 sgn 98 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( odrl_rel(X0)
=> ( ? [X3] :
( permission(X3)
& part_of(X3,X0)
& cnt(X3,X1,X2)
& ! [X4] :
( ( permission(X4)
& part_of(X4,X0)
& cnt(X4,X1,X2) )
=> X4 = X3 ) )
<=> ? [X5] :
( no_right(X5)
& part_of(X5,X0)
& cnt(X5,X1,X2)
& ! [X6] :
( ( no_right(X6)
& part_of(X6,X0)
& cnt(X6,X1,X2) )
=> X6 = X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_correlativity_permission) ).
fof(f6,axiom,
odrl_rel(rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl_rho1) ).
fof(f7,axiom,
permission(l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permission_l) ).
fof(f8,axiom,
no_right(n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n1) ).
fof(f9,axiom,
no_right(n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n2) ).
fof(f10,axiom,
part_of(l,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_l) ).
fof(f11,axiom,
part_of(n1,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_n1) ).
fof(f12,axiom,
part_of(n2,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_n2) ).
fof(f13,axiom,
cnt(l,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_l) ).
fof(f14,axiom,
cnt(n1,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n1) ).
fof(f15,axiom,
cnt(n2,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n2) ).
fof(f18,axiom,
n1 != n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n1_neq_n2) ).
fof(f19,axiom,
! [X0] :
( ( permission(X0)
& part_of(X0,rho1)
& cnt(X0,some_action,some_target) )
=> X0 = l ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',perm_l_unique) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( permission(X3)
& part_of(X3,X0)
& cnt(X3,X1,X2)
& ! [X4] :
( X4 = X3
| ~ permission(X4)
| ~ part_of(X4,X0)
| ~ cnt(X4,X1,X2) ) )
<=> ? [X5] :
( no_right(X5)
& part_of(X5,X0)
& cnt(X5,X1,X2)
& ! [X6] :
( X6 = X5
| ~ no_right(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X1,X2) ) ) )
| ~ odrl_rel(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( permission(X3)
& part_of(X3,X0)
& cnt(X3,X1,X2)
& ! [X4] :
( X4 = X3
| ~ permission(X4)
| ~ part_of(X4,X0)
| ~ cnt(X4,X1,X2) ) )
<=> ? [X5] :
( no_right(X5)
& part_of(X5,X0)
& cnt(X5,X1,X2)
& ! [X6] :
( X6 = X5
| ~ no_right(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X1,X2) ) ) )
| ~ odrl_rel(X0) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0] :
( X0 = l
| ~ permission(X0)
| ~ part_of(X0,rho1)
| ~ cnt(X0,some_action,some_target) ),
inference(ennf_transformation,[],[f19]) ).
fof(f29,plain,
! [X0] :
( X0 = l
| ~ permission(X0)
| ~ part_of(X0,rho1)
| ~ cnt(X0,some_action,some_target) ),
inference(flattening,[],[f28]) ).
fof(f30,definition,
! [X0,X2,X1] :
( sP0(X0,X2,X1)
<=> ? [X3] :
( permission(X3)
& part_of(X3,X0)
& cnt(X3,X1,X2)
& ! [X4] :
( X4 = X3
| ~ permission(X4)
| ~ part_of(X4,X0)
| ~ cnt(X4,X1,X2) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
<=> ? [X5] :
( no_right(X5)
& part_of(X5,X0)
& cnt(X5,X1,X2)
& ! [X6] :
( X6 = X5
| ~ no_right(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X1,X2) ) ) )
| ~ sP1(X0,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f32,plain,
! [X0,X1,X2] :
( sP1(X0,X2,X1)
| ~ odrl_rel(X0) ),
inference(definition_folding,[],[f27,f31,f30]) ).
fof(f33,plain,
! [X0,X2,X1] :
( ( ( sP0(X0,X2,X1)
| ! [X5] :
( ~ no_right(X5)
| ~ part_of(X5,X0)
| ~ cnt(X5,X1,X2)
| ? [X6] :
( X5 != X6
& no_right(X6)
& part_of(X6,X0)
& cnt(X6,X1,X2) ) ) )
& ( ? [X5] :
( no_right(X5)
& part_of(X5,X0)
& cnt(X5,X1,X2)
& ! [X6] :
( X6 = X5
| ~ no_right(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X1,X2) ) )
| ~ sP0(X0,X2,X1) ) )
| ~ sP1(X0,X2,X1) ),
inference(nnf_transformation,[],[f31]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ no_right(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X2,X1)
| ? [X4] :
( X3 != X4
& no_right(X4)
& part_of(X4,X0)
& cnt(X4,X2,X1) ) ) )
& ( ? [X5] :
( no_right(X5)
& part_of(X5,X0)
& cnt(X5,X2,X1)
& ! [X6] :
( X6 = X5
| ~ no_right(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X2,X1) ) )
| ~ sP0(X0,X1,X2) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ no_right(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X2,X1)
| ( sK2(X0,X1,X2,X3) != X3
& no_right(sK2(X0,X1,X2,X3))
& part_of(sK2(X0,X1,X2,X3),X0)
& cnt(sK2(X0,X1,X2,X3),X2,X1) ) ) )
& ( ( no_right(sK3(X0,X1,X2))
& part_of(sK3(X0,X1,X2),X0)
& cnt(sK3(X0,X1,X2),X2,X1)
& ! [X6] :
( sK3(X0,X1,X2) = X6
| ~ no_right(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X2,X1) ) )
| ~ sP0(X0,X1,X2) ) )
| ~ sP1(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X4,sK2(X0,X1,X2,X3)),skolemize(X5,sK3(X0,X1,X2))],[f34]) ).
fof(f36,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
| ! [X3] :
( ~ permission(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X1,X2)
| ? [X4] :
( X3 != X4
& permission(X4)
& part_of(X4,X0)
& cnt(X4,X1,X2) ) ) )
& ( ? [X3] :
( permission(X3)
& part_of(X3,X0)
& cnt(X3,X1,X2)
& ! [X4] :
( X4 = X3
| ~ permission(X4)
| ~ part_of(X4,X0)
| ~ cnt(X4,X1,X2) ) )
| ~ sP0(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ permission(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X2,X1)
| ? [X4] :
( X3 != X4
& permission(X4)
& part_of(X4,X0)
& cnt(X4,X2,X1) ) ) )
& ( ? [X5] :
( permission(X5)
& part_of(X5,X0)
& cnt(X5,X2,X1)
& ! [X6] :
( X5 = X6
| ~ permission(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X2,X1) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ permission(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X2,X1)
| ( sK4(X0,X1,X2,X3) != X3
& permission(sK4(X0,X1,X2,X3))
& part_of(sK4(X0,X1,X2,X3),X0)
& cnt(sK4(X0,X1,X2,X3),X2,X1) ) ) )
& ( ( permission(sK5(X0,X1,X2))
& part_of(sK5(X0,X1,X2),X0)
& cnt(sK5(X0,X1,X2),X2,X1)
& ! [X6] :
( sK5(X0,X1,X2) = X6
| ~ permission(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X2,X1) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X4,sK4(X0,X1,X2,X3)),skolemize(X5,sK5(X0,X1,X2))],[f37]) ).
fof(f39,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0,X1,X2)
| ~ no_right(X6)
| ~ part_of(X6,X0)
| ~ cnt(X6,X2,X1)
| sK3(X0,X1,X2) = X6
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( cnt(sK4(X0,X1,X2,X3),X2,X1)
| ~ permission(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X2,X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( part_of(sK4(X0,X1,X2,X3),X0)
| ~ permission(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X2,X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( permission(sK4(X0,X1,X2,X3))
| ~ permission(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X2,X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( sK4(X0,X1,X2,X3) != X3
| ~ permission(X3)
| ~ part_of(X3,X0)
| ~ cnt(X3,X2,X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f55,plain,
! [X2,X0,X1] :
( sP1(X0,X2,X1)
| ~ odrl_rel(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f56,plain,
odrl_rel(rho1),
inference(cnf_transformation,[],[f6]) ).
fof(f57,plain,
permission(l),
inference(cnf_transformation,[],[f7]) ).
fof(f58,plain,
no_right(n1),
inference(cnf_transformation,[],[f8]) ).
fof(f59,plain,
no_right(n2),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
part_of(l,rho1),
inference(cnf_transformation,[],[f10]) ).
fof(f61,plain,
part_of(n1,rho1),
inference(cnf_transformation,[],[f11]) ).
fof(f62,plain,
part_of(n2,rho1),
inference(cnf_transformation,[],[f12]) ).
fof(f63,plain,
cnt(l,some_action,some_target),
inference(cnf_transformation,[],[f13]) ).
fof(f64,plain,
cnt(n1,some_action,some_target),
inference(cnf_transformation,[],[f14]) ).
fof(f65,plain,
cnt(n2,some_action,some_target),
inference(cnf_transformation,[],[f15]) ).
fof(f66,plain,
n1 != n2,
inference(cnf_transformation,[],[f18]) ).
fof(f67,plain,
! [X0] :
( ~ permission(X0)
| l = X0
| ~ part_of(X0,rho1)
| ~ cnt(X0,some_action,some_target) ),
inference(cnf_transformation,[],[f29]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ cnt(sK4(X1,X3,X2,X0),some_action,some_target)
| ~ part_of(X0,X1)
| ~ cnt(X0,X2,X3)
| sP0(X1,X3,X2)
| l = sK4(X1,X3,X2,X0)
| ~ part_of(sK4(X1,X3,X2,X0),rho1)
| ~ permission(X0) ),
inference(resolution,[],[f53,f67]) ).
fof(f71,plain,
! [X0,X1] :
( ~ part_of(X0,X1)
| ~ cnt(X0,some_action,some_target)
| sP0(X1,some_target,some_action)
| l = sK4(X1,some_target,some_action,X0)
| ~ part_of(sK4(X1,some_target,some_action,X0),rho1)
| ~ permission(X0)
| ~ permission(X0)
| ~ part_of(X0,X1)
| ~ cnt(X0,some_action,some_target)
| sP0(X1,some_target,some_action) ),
inference(resolution,[],[f70,f51]) ).
fof(f72,plain,
! [X0,X1] :
( ~ part_of(sK4(X1,some_target,some_action,X0),rho1)
| ~ cnt(X0,some_action,some_target)
| sP0(X1,some_target,some_action)
| l = sK4(X1,some_target,some_action,X0)
| ~ part_of(X0,X1)
| ~ permission(X0) ),
inference(duplicate_literal_removal,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ~ cnt(X0,some_action,some_target)
| sP0(rho1,some_target,some_action)
| l = sK4(rho1,some_target,some_action,X0)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| ~ permission(X0)
| ~ part_of(X0,rho1)
| ~ cnt(X0,some_action,some_target)
| sP0(rho1,some_target,some_action) ),
inference(resolution,[],[f72,f52]) ).
fof(f74,plain,
! [X0] :
( ~ cnt(X0,some_action,some_target)
| sP0(rho1,some_target,some_action)
| l = sK4(rho1,some_target,some_action,X0)
| ~ part_of(X0,rho1)
| ~ permission(X0) ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f76,definition,
( spl6_1
<=> sP0(rho1,some_target,some_action) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f78,plain,
( sP0(rho1,some_target,some_action)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl6_2
<=> ! [X0] :
( ~ cnt(X0,some_action,some_target)
| ~ permission(X0)
| ~ part_of(X0,rho1)
| l = sK4(rho1,some_target,some_action,X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f81,plain,
( ! [X0] :
( ~ permission(X0)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| l = sK4(rho1,some_target,some_action,X0) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f74,f80,f76]) ).
fof(f83,plain,
( ~ cnt(l,some_action,some_target)
| ~ part_of(l,rho1)
| l = sK4(rho1,some_target,some_action,l)
| ~ spl6_2 ),
inference(resolution,[],[f81,f57]) ).
fof(f86,plain,
( ~ part_of(l,rho1)
| l = sK4(rho1,some_target,some_action,l)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f83,f63]) ).
fof(f87,plain,
( l = sK4(rho1,some_target,some_action,l)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f86,f60]) ).
fof(f89,plain,
( l != l
| ~ permission(l)
| ~ part_of(l,rho1)
| ~ cnt(l,some_action,some_target)
| sP0(rho1,some_target,some_action)
| ~ spl6_2 ),
inference(superposition,[],[f54,f87]) ).
fof(f92,plain,
( ~ permission(l)
| ~ part_of(l,rho1)
| ~ cnt(l,some_action,some_target)
| sP0(rho1,some_target,some_action)
| ~ spl6_2 ),
inference(trivial_inequality_removal,[],[f89]) ).
fof(f93,plain,
( ~ part_of(l,rho1)
| ~ cnt(l,some_action,some_target)
| sP0(rho1,some_target,some_action)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f92,f57]) ).
fof(f94,plain,
( ~ cnt(l,some_action,some_target)
| sP0(rho1,some_target,some_action)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f93,f60]) ).
fof(f95,plain,
( sP0(rho1,some_target,some_action)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f94,f63]) ).
fof(f96,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f95,f80,f76]) ).
fof(f98,plain,
( ! [X0] :
( ~ no_right(X0)
| ~ part_of(X0,rho1)
| ~ cnt(X0,some_action,some_target)
| sK3(rho1,some_target,some_action) = X0
| ~ sP1(rho1,some_target,some_action) )
| ~ spl6_1 ),
inference(resolution,[],[f78,f39]) ).
fof(f101,definition,
( spl6_3
<=> sP1(rho1,some_target,some_action) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f103,plain,
( ~ sP1(rho1,some_target,some_action)
| spl6_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl6_4
<=> ! [X0] :
( ~ no_right(X0)
| sK3(rho1,some_target,some_action) = X0
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1) ) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f106,plain,
( ! [X0] :
( ~ no_right(X0)
| sK3(rho1,some_target,some_action) = X0
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( ~ spl6_3
| spl6_4
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f98,f76,f105,f101]) ).
fof(f121,plain,
( ~ odrl_rel(rho1)
| spl6_3 ),
inference(resolution,[],[f103,f55]) ).
fof(f122,plain,
( $false
| spl6_3 ),
inference(forward_subsumption_resolution,[],[f121,f56]) ).
fof(f123,plain,
spl6_3,
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f136,plain,
( n1 = sK3(rho1,some_target,some_action)
| ~ cnt(n1,some_action,some_target)
| ~ part_of(n1,rho1)
| ~ spl6_4 ),
inference(resolution,[],[f106,f58]) ).
fof(f137,plain,
( n2 = sK3(rho1,some_target,some_action)
| ~ cnt(n2,some_action,some_target)
| ~ part_of(n2,rho1)
| ~ spl6_4 ),
inference(resolution,[],[f106,f59]) ).
fof(f140,plain,
( n2 = sK3(rho1,some_target,some_action)
| ~ part_of(n2,rho1)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f137,f65]) ).
fof(f141,plain,
( n1 = sK3(rho1,some_target,some_action)
| ~ part_of(n1,rho1)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f136,f64]) ).
fof(f142,plain,
( n2 = sK3(rho1,some_target,some_action)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f140,f62]) ).
fof(f143,plain,
( n1 = sK3(rho1,some_target,some_action)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f141,f61]) ).
fof(f150,plain,
( n1 = n2
| ~ spl6_4 ),
inference(superposition,[],[f143,f142]) ).
fof(f157,plain,
( $false
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f150,f66]) ).
fof(f158,plain,
~ spl6_4,
inference(avatar_contradiction_clause,[],[f157]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f82]) ).
cnf(s2,plain,
( spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f96]) ).
cnf(s3,plain,
( ~ spl6_1
| ~ spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f107]) ).
cnf(s5,plain,
spl6_3,
inference(sat_conversion,[],[f123]) ).
cnf(s9,plain,
~ spl6_4,
inference(sat_conversion,[],[f158]) ).
cnf(s10,plain,
~ spl6_1,
inference(rat,[],[s3,s9,s5]) ).
cnf(s11,plain,
~ spl6_2,
inference(rat,[],[s2,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s11,s10]) ).
fof(f159,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT114+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:44:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.72/1.30 % (2874777)Detected formulas, will run a generic FOF schedule.
% 2.72/1.30 % (2874788)dis-21_1_sil=8000:lcm=predicate:random_seed=524484408: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)
% 2.72/1.30 % (2874788)Instruction limit reached!
% 2.72/1.30 % (2874788)------------------------------
% 2.72/1.30 % (2874788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2874788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2874788)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2874788)Termination reason: Instruction limit
% 2.72/1.30 % (2874788)Termination phase: Saturation
% 2.72/1.30 % (2874788)Time elapsed: 0.039 s
% 2.72/1.30 % (2874788)Peak memory usage: 89 MB
% 2.72/1.30 % (2874788)Instructions burned: 130 (million)
% 2.72/1.30 % (2874783)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=2537794736:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.30 % (2874782)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=616433049:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.30 % (2874786)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3416136950:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.30 % (2874787)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3552019303:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.30 % (2874785)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=800269891:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.30 % (2874784)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=773466254:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.30 % (2874786)Refutation not found, incomplete strategy
% 2.72/1.30 % (2874786)------------------------------
% 2.72/1.30 % (2874786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2874785)Refutation not found, incomplete strategy
% 2.72/1.30 % (2874785)------------------------------
% 2.72/1.30 % (2874785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2874786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2874786)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2874786)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.30 % (2874786)Time elapsed: 0.0000 s
% 2.72/1.30 % (2874785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2874786)Peak memory usage: 86 MB
% 2.72/1.30 % (2874785)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2874785)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.30 % (2874785)Time elapsed: 0.0000 s
% 2.72/1.30 % (2874785)Peak memory usage: 86 MB
% 2.72/1.30 % (2874787)First to succeed.
% 2.72/1.30 % (2874787)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2874777"
% 2.72/1.30 % (2874790)lrs+10_1_sil=8000:sp=occurrence:random_seed=1941254853:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.72/1.30 % (2874790)Refutation not found, incomplete strategy
% 2.72/1.30 % (2874790)------------------------------
% 2.72/1.30 % (2874790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2874790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2874790)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2874790)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.30 % (2874790)Time elapsed: 0.0000 s
% 2.72/1.30 % (2874790)Peak memory usage: 87 MB
% 2.72/1.30 % (2874786)------------------------------
% 2.72/1.30 % (2874786)------------------------------
% 2.72/1.30 % (2874785)------------------------------
% 2.72/1.30 % (2874785)------------------------------
% 2.72/1.30 % (2874787)Refutation found. Thanks to Tanya!
% 2.72/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.50 % (2874787)------------------------------
% 3.72/1.50 % (2874787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.50 % (2874787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.50 % (2874787)CaDiCaL version: 2.1.3
% 3.72/1.50 % (2874787)Termination reason: Refutation
% 3.72/1.50 % (2874787)Time elapsed: 0.007 s
% 3.72/1.50 % (2874787)Peak memory usage: 89 MB
% 3.72/1.50 % (2874787)Instructions burned: 8 (million)
% 3.72/1.50 % (2874787)------------------------------
% 3.72/1.50 % (2874787)------------------------------
% 3.72/1.50 % (2874777)Success in time 0.446 s
% 3.72/1.50 % Vampire exiting
%------------------------------------------------------------------------------