%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT113+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:04:40 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 12
% Syntax : Number of formulae : 75 ( 17 unt; 1 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 528 ( 232 ~; 205 |; 88 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-6 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-6 aty)
% Number of variables : 284 ( 260 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( proh(X0)
& has_rem(X0)
& aee(X0,X1)
& aer(X0,X2)
& act(X0,X3)
& tgt(X0,X4)
& activates(X5,X0) )
=> ? [X6,X7,X8] :
( founds_rem(X5,X6,X0)
& power(X7)
& bearer(X7,X2)
& cnt(X7,decl(X3),X4)
& part_of(X7,X6)
& subjection(X8)
& bearer(X8,X1)
& cnt(X8,decl(X3),X4)
& part_of(X8,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_proh_relator_remedy) ).
fof(f7,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( power(X0)
& cnt(X0,decl(X1),X2)
& part_of(X0,X3)
& founds_rem(X4,X3,X5) )
=> about_event(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_B2) ).
fof(f8,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( subjection(X0)
& cnt(X0,decl(X1),X2)
& part_of(X0,X3)
& founds_rem(X4,X3,X5) )
=> about_event(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_B3) ).
fof(f15,axiom,
proh(f1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proh_f1) ).
fof(f16,axiom,
has_rem(f1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rem_f1) ).
fof(f17,axiom,
aee(f1,marketplace),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aee_f1) ).
fof(f18,axiom,
aer(f1,philharmonie),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aer_f1) ).
fof(f19,axiom,
act(f1,distrib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_f1) ).
fof(f20,axiom,
tgt(f1,concert_ds),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tgt_f1) ).
fof(f21,axiom,
activates(e1,f1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_e1_f1) ).
fof(f23,conjecture,
? [X0,X1,X2] :
( founds_rem(e1,X0,f1)
& power(X1)
& bearer(X1,philharmonie)
& cnt(X1,decl(distrib),concert_ds)
& part_of(X1,X0)
& about_event(X1,e1)
& subjection(X2)
& bearer(X2,marketplace)
& cnt(X2,decl(distrib),concert_ds)
& part_of(X2,X0)
& about_event(X2,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f24,negated_conjecture,
~ ? [X0,X1,X2] :
( founds_rem(e1,X0,f1)
& power(X1)
& bearer(X1,philharmonie)
& cnt(X1,decl(distrib),concert_ds)
& part_of(X1,X0)
& about_event(X1,e1)
& subjection(X2)
& bearer(X2,marketplace)
& cnt(X2,decl(distrib),concert_ds)
& part_of(X2,X0)
& about_event(X2,e1) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7,X8] :
( founds_rem(X5,X6,X0)
& power(X7)
& bearer(X7,X2)
& cnt(X7,decl(X3),X4)
& part_of(X7,X6)
& subjection(X8)
& bearer(X8,X1)
& cnt(X8,decl(X3),X4)
& part_of(X8,X6) )
| ~ proh(X0)
| ~ has_rem(X0)
| ~ aee(X0,X1)
| ~ aer(X0,X2)
| ~ act(X0,X3)
| ~ tgt(X0,X4)
| ~ activates(X5,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7,X8] :
( founds_rem(X5,X6,X0)
& power(X7)
& bearer(X7,X2)
& cnt(X7,decl(X3),X4)
& part_of(X7,X6)
& subjection(X8)
& bearer(X8,X1)
& cnt(X8,decl(X3),X4)
& part_of(X8,X6) )
| ~ proh(X0)
| ~ has_rem(X0)
| ~ aee(X0,X1)
| ~ aer(X0,X2)
| ~ act(X0,X3)
| ~ tgt(X0,X4)
| ~ activates(X5,X0) ),
inference(flattening,[],[f38]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5] :
( about_event(X0,X4)
| ~ power(X0)
| ~ cnt(X0,decl(X1),X2)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(ennf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5] :
( about_event(X0,X4)
| ~ power(X0)
| ~ cnt(X0,decl(X1),X2)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5] :
( about_event(X0,X4)
| ~ subjection(X0)
| ~ cnt(X0,decl(X1),X2)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(ennf_transformation,[],[f8]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5] :
( about_event(X0,X4)
| ~ subjection(X0)
| ~ cnt(X0,decl(X1),X2)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ founds_rem(e1,X0,f1)
| ~ power(X1)
| ~ bearer(X1,philharmonie)
| ~ cnt(X1,decl(distrib),concert_ds)
| ~ part_of(X1,X0)
| ~ about_event(X1,e1)
| ~ subjection(X2)
| ~ bearer(X2,marketplace)
| ~ cnt(X2,decl(distrib),concert_ds)
| ~ part_of(X2,X0)
| ~ about_event(X2,e1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f50,definition,
! [X0,X5,X2,X4,X3,X1] :
( ? [X6,X7,X8] :
( founds_rem(X5,X6,X0)
& power(X7)
& bearer(X7,X2)
& cnt(X7,decl(X3),X4)
& part_of(X7,X6)
& subjection(X8)
& bearer(X8,X1)
& cnt(X8,decl(X3),X4)
& part_of(X8,X6) )
| ~ sP0(X0,X5,X2,X4,X3,X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP0(X0,X5,X2,X4,X3,X1)
| ~ proh(X0)
| ~ has_rem(X0)
| ~ aee(X0,X1)
| ~ aer(X0,X2)
| ~ act(X0,X3)
| ~ tgt(X0,X4)
| ~ activates(X5,X0) ),
inference(definition_folding,[],[f39,f50]) ).
fof(f53,plain,
! [X0,X5,X2,X4,X3,X1] :
( ? [X6,X7,X8] :
( founds_rem(X5,X6,X0)
& power(X7)
& bearer(X7,X2)
& cnt(X7,decl(X3),X4)
& part_of(X7,X6)
& subjection(X8)
& bearer(X8,X1)
& cnt(X8,decl(X3),X4)
& part_of(X8,X6) )
| ~ sP0(X0,X5,X2,X4,X3,X1) ),
inference(nnf_transformation,[],[f50]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7,X8] :
( founds_rem(X1,X6,X0)
& power(X7)
& bearer(X7,X2)
& cnt(X7,decl(X4),X3)
& part_of(X7,X6)
& subjection(X8)
& bearer(X8,X5)
& cnt(X8,decl(X4),X3)
& part_of(X8,X6) )
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( founds_rem(X1,sK4(X0,X1,X2,X3,X4,X5),X0)
& power(sK5(X0,X1,X2,X3,X4,X5))
& bearer(sK5(X0,X1,X2,X3,X4,X5),X2)
& cnt(sK5(X0,X1,X2,X3,X4,X5),decl(X4),X3)
& part_of(sK5(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5))
& subjection(sK6(X0,X1,X2,X3,X4,X5))
& bearer(sK6(X0,X1,X2,X3,X4,X5),X5)
& cnt(sK6(X0,X1,X2,X3,X4,X5),decl(X4),X3)
& part_of(sK6(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5)) )
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X6,sK4(X0,X1,X2,X3,X4,X5)),skolemize(X7,sK5(X0,X1,X2,X3,X4,X5)),skolemize(X8,sK6(X0,X1,X2,X3,X4,X5))],[f54]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( part_of(sK6(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5))
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4,X5] :
( cnt(sK6(X0,X1,X2,X3,X4,X5),decl(X4),X3)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( bearer(sK6(X0,X1,X2,X3,X4,X5),X5)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4,X5] :
( subjection(sK6(X0,X1,X2,X3,X4,X5))
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4,X5] :
( part_of(sK5(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5))
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X4,X5] :
( cnt(sK5(X0,X1,X2,X3,X4,X5),decl(X4),X3)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4,X5] :
( bearer(sK5(X0,X1,X2,X3,X4,X5),X2)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4,X5] :
( power(sK5(X0,X1,X2,X3,X4,X5))
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4,X5] :
( founds_rem(X1,sK4(X0,X1,X2,X3,X4,X5),X0)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X0,X5,X2,X4,X3,X1)
| ~ proh(X0)
| ~ has_rem(X0)
| ~ aee(X0,X1)
| ~ aer(X0,X2)
| ~ act(X0,X3)
| ~ tgt(X0,X4)
| ~ activates(X5,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cnt(X0,decl(X1),X2)
| ~ power(X0)
| about_event(X0,X4)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(cnf_transformation,[],[f46]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cnt(X0,decl(X1),X2)
| ~ subjection(X0)
| about_event(X0,X4)
| ~ part_of(X0,X3)
| ~ founds_rem(X4,X3,X5) ),
inference(cnf_transformation,[],[f48]) ).
fof(f87,plain,
proh(f1),
inference(cnf_transformation,[],[f15]) ).
fof(f88,plain,
has_rem(f1),
inference(cnf_transformation,[],[f16]) ).
fof(f89,plain,
aee(f1,marketplace),
inference(cnf_transformation,[],[f17]) ).
fof(f90,plain,
aer(f1,philharmonie),
inference(cnf_transformation,[],[f18]) ).
fof(f91,plain,
act(f1,distrib),
inference(cnf_transformation,[],[f19]) ).
fof(f92,plain,
tgt(f1,concert_ds),
inference(cnf_transformation,[],[f20]) ).
fof(f93,plain,
activates(e1,f1),
inference(cnf_transformation,[],[f21]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ cnt(X2,decl(distrib),concert_ds)
| ~ power(X1)
| ~ bearer(X1,philharmonie)
| ~ cnt(X1,decl(distrib),concert_ds)
| ~ part_of(X1,X0)
| ~ about_event(X1,e1)
| ~ subjection(X2)
| ~ bearer(X2,marketplace)
| ~ founds_rem(e1,X0,f1)
| ~ part_of(X2,X0)
| ~ about_event(X2,e1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(X0,X1,X2,concert_ds,distrib,X3)
| ~ power(X4)
| ~ bearer(X4,philharmonie)
| ~ cnt(X4,decl(distrib),concert_ds)
| ~ part_of(X4,X5)
| ~ about_event(X4,e1)
| ~ subjection(sK6(X0,X1,X2,concert_ds,distrib,X3))
| ~ bearer(sK6(X0,X1,X2,concert_ds,distrib,X3),marketplace)
| ~ founds_rem(e1,X5,f1)
| ~ part_of(sK6(X0,X1,X2,concert_ds,distrib,X3),X5)
| ~ about_event(sK6(X0,X1,X2,concert_ds,distrib,X3),e1) ),
inference(resolution,[],[f67,f95]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(X0,X1,X2,X3,X4,X5)
| ~ subjection(sK6(X0,X1,X2,X3,X4,X5))
| about_event(sK6(X0,X1,X2,X3,X4,X5),X6)
| ~ part_of(sK6(X0,X1,X2,X3,X4,X5),X7)
| ~ founds_rem(X6,X7,X8) ),
inference(resolution,[],[f67,f86]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ part_of(sK6(X0,X1,X2,X3,X4,X5),X7)
| about_event(sK6(X0,X1,X2,X3,X4,X5),X6)
| ~ sP0(X0,X1,X2,X3,X4,X5)
| ~ founds_rem(X6,X7,X8) ),
inference(forward_subsumption_resolution,[],[f105,f69]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(X0,X1,X2,concert_ds,distrib,X3)
| ~ power(X4)
| ~ bearer(X4,philharmonie)
| ~ cnt(X4,decl(distrib),concert_ds)
| ~ part_of(X4,X5)
| ~ subjection(sK6(X0,X1,X2,concert_ds,distrib,X3))
| ~ bearer(sK6(X0,X1,X2,concert_ds,distrib,X3),marketplace)
| ~ founds_rem(e1,X5,f1)
| ~ part_of(sK6(X0,X1,X2,concert_ds,distrib,X3),X5)
| ~ about_event(sK6(X0,X1,X2,concert_ds,distrib,X3),e1) ),
inference(forward_subsumption_resolution,[],[f104,f85]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ about_event(sK6(X0,X1,X2,concert_ds,distrib,X3),e1)
| ~ power(X4)
| ~ bearer(X4,philharmonie)
| ~ cnt(X4,decl(distrib),concert_ds)
| ~ part_of(X4,X5)
| ~ bearer(sK6(X0,X1,X2,concert_ds,distrib,X3),marketplace)
| ~ founds_rem(e1,X5,f1)
| ~ part_of(sK6(X0,X1,X2,concert_ds,distrib,X3),X5)
| ~ sP0(X0,X1,X2,concert_ds,distrib,X3) ),
inference(forward_subsumption_resolution,[],[f108,f69]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( about_event(sK6(X0,X1,X2,X3,X4,X5),X6)
| ~ sP0(X0,X1,X2,X3,X4,X5)
| ~ founds_rem(X6,sK4(X0,X1,X2,X3,X4,X5),X7)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(resolution,[],[f107,f66]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ founds_rem(X6,sK4(X0,X1,X2,X3,X4,X5),X7)
| ~ sP0(X0,X1,X2,X3,X4,X5)
| about_event(sK6(X0,X1,X2,X3,X4,X5),X6) ),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(X0,X1,X2,X3,X4,X5)
| about_event(sK6(X0,X1,X2,X3,X4,X5),X1)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(resolution,[],[f137,f74]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X4,X5] :
( about_event(sK6(X0,X1,X2,X3,X4,X5),X1)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(duplicate_literal_removal,[],[f138]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(X0,e1,X1,concert_ds,distrib,X2)
| ~ power(X3)
| ~ bearer(X3,philharmonie)
| ~ cnt(X3,decl(distrib),concert_ds)
| ~ part_of(X3,X4)
| ~ bearer(sK6(X0,e1,X1,concert_ds,distrib,X2),marketplace)
| ~ founds_rem(e1,X4,f1)
| ~ part_of(sK6(X0,e1,X1,concert_ds,distrib,X2),X4)
| ~ sP0(X0,e1,X1,concert_ds,distrib,X2) ),
inference(resolution,[],[f139,f109]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] :
( ~ part_of(sK6(X0,e1,X1,concert_ds,distrib,X2),X4)
| ~ power(X3)
| ~ bearer(X3,philharmonie)
| ~ cnt(X3,decl(distrib),concert_ds)
| ~ part_of(X3,X4)
| ~ bearer(sK6(X0,e1,X1,concert_ds,distrib,X2),marketplace)
| ~ founds_rem(e1,X4,f1)
| ~ sP0(X0,e1,X1,concert_ds,distrib,X2) ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ power(X0)
| ~ bearer(X0,philharmonie)
| ~ cnt(X0,decl(distrib),concert_ds)
| ~ part_of(X0,sK4(X1,e1,X2,concert_ds,distrib,X3))
| ~ bearer(sK6(X1,e1,X2,concert_ds,distrib,X3),marketplace)
| ~ founds_rem(e1,sK4(X1,e1,X2,concert_ds,distrib,X3),f1)
| ~ sP0(X1,e1,X2,concert_ds,distrib,X3)
| ~ sP0(X1,e1,X2,concert_ds,distrib,X3) ),
inference(resolution,[],[f143,f66]) ).
fof(f145,plain,
! [X2,X3,X0,X1] :
( ~ founds_rem(e1,sK4(X1,e1,X2,concert_ds,distrib,X3),f1)
| ~ bearer(X0,philharmonie)
| ~ cnt(X0,decl(distrib),concert_ds)
| ~ part_of(X0,sK4(X1,e1,X2,concert_ds,distrib,X3))
| ~ bearer(sK6(X1,e1,X2,concert_ds,distrib,X3),marketplace)
| ~ power(X0)
| ~ sP0(X1,e1,X2,concert_ds,distrib,X3) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ bearer(X0,philharmonie)
| ~ cnt(X0,decl(distrib),concert_ds)
| ~ part_of(X0,sK4(f1,e1,X1,concert_ds,distrib,X2))
| ~ bearer(sK6(f1,e1,X1,concert_ds,distrib,X2),marketplace)
| ~ power(X0)
| ~ sP0(f1,e1,X1,concert_ds,distrib,X2)
| ~ sP0(f1,e1,X1,concert_ds,distrib,X2) ),
inference(resolution,[],[f145,f74]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ part_of(X0,sK4(f1,e1,X1,concert_ds,distrib,X2))
| ~ cnt(X0,decl(distrib),concert_ds)
| ~ bearer(X0,philharmonie)
| ~ bearer(sK6(f1,e1,X1,concert_ds,distrib,X2),marketplace)
| ~ power(X0)
| ~ sP0(f1,e1,X1,concert_ds,distrib,X2) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f151,plain,
! [X0,X1] :
( ~ cnt(sK5(f1,e1,X0,concert_ds,distrib,X1),decl(distrib),concert_ds)
| ~ bearer(sK5(f1,e1,X0,concert_ds,distrib,X1),philharmonie)
| ~ bearer(sK6(f1,e1,X0,concert_ds,distrib,X1),marketplace)
| ~ power(sK5(f1,e1,X0,concert_ds,distrib,X1))
| ~ sP0(f1,e1,X0,concert_ds,distrib,X1)
| ~ sP0(f1,e1,X0,concert_ds,distrib,X1) ),
inference(resolution,[],[f147,f70]) ).
fof(f152,plain,
! [X0,X1] :
( ~ cnt(sK5(f1,e1,X0,concert_ds,distrib,X1),decl(distrib),concert_ds)
| ~ bearer(sK5(f1,e1,X0,concert_ds,distrib,X1),philharmonie)
| ~ bearer(sK6(f1,e1,X0,concert_ds,distrib,X1),marketplace)
| ~ power(sK5(f1,e1,X0,concert_ds,distrib,X1))
| ~ sP0(f1,e1,X0,concert_ds,distrib,X1) ),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f154,plain,
! [X0,X1] :
( ~ bearer(sK5(f1,e1,X0,concert_ds,distrib,X1),philharmonie)
| ~ bearer(sK6(f1,e1,X0,concert_ds,distrib,X1),marketplace)
| ~ power(sK5(f1,e1,X0,concert_ds,distrib,X1))
| ~ sP0(f1,e1,X0,concert_ds,distrib,X1) ),
inference(forward_subsumption_resolution,[],[f152,f71]) ).
fof(f156,plain,
! [X0,X1] :
( ~ bearer(sK6(f1,e1,X0,concert_ds,distrib,X1),marketplace)
| ~ bearer(sK5(f1,e1,X0,concert_ds,distrib,X1),philharmonie)
| ~ sP0(f1,e1,X0,concert_ds,distrib,X1) ),
inference(forward_subsumption_resolution,[],[f154,f73]) ).
fof(f159,plain,
! [X0] :
( ~ bearer(sK5(f1,e1,X0,concert_ds,distrib,marketplace),philharmonie)
| ~ sP0(f1,e1,X0,concert_ds,distrib,marketplace)
| ~ sP0(f1,e1,X0,concert_ds,distrib,marketplace) ),
inference(resolution,[],[f156,f68]) ).
fof(f160,plain,
! [X0] :
( ~ bearer(sK5(f1,e1,X0,concert_ds,distrib,marketplace),philharmonie)
| ~ sP0(f1,e1,X0,concert_ds,distrib,marketplace) ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f163,plain,
( ~ sP0(f1,e1,philharmonie,concert_ds,distrib,marketplace)
| ~ sP0(f1,e1,philharmonie,concert_ds,distrib,marketplace) ),
inference(resolution,[],[f160,f72]) ).
fof(f164,plain,
~ sP0(f1,e1,philharmonie,concert_ds,distrib,marketplace),
inference(duplicate_literal_removal,[],[f163]) ).
fof(f167,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ aee(f1,marketplace)
| ~ aer(f1,philharmonie)
| ~ act(f1,distrib)
| ~ tgt(f1,concert_ds)
| ~ activates(e1,f1) ),
inference(resolution,[],[f164,f75]) ).
fof(f168,plain,
( ~ has_rem(f1)
| ~ aee(f1,marketplace)
| ~ aer(f1,philharmonie)
| ~ act(f1,distrib)
| ~ tgt(f1,concert_ds)
| ~ activates(e1,f1) ),
inference(forward_subsumption_resolution,[],[f167,f87]) ).
fof(f169,plain,
( ~ aee(f1,marketplace)
| ~ aer(f1,philharmonie)
| ~ act(f1,distrib)
| ~ tgt(f1,concert_ds)
| ~ activates(e1,f1) ),
inference(forward_subsumption_resolution,[],[f168,f88]) ).
fof(f170,plain,
( ~ aer(f1,philharmonie)
| ~ act(f1,distrib)
| ~ tgt(f1,concert_ds)
| ~ activates(e1,f1) ),
inference(forward_subsumption_resolution,[],[f169,f89]) ).
fof(f171,plain,
( ~ act(f1,distrib)
| ~ tgt(f1,concert_ds)
| ~ activates(e1,f1) ),
inference(forward_subsumption_resolution,[],[f170,f90]) ).
fof(f172,plain,
( ~ tgt(f1,concert_ds)
| ~ activates(e1,f1) ),
inference(forward_subsumption_resolution,[],[f171,f91]) ).
fof(f173,plain,
~ activates(e1,f1),
inference(forward_subsumption_resolution,[],[f172,f92]) ).
fof(f174,plain,
$false,
inference(forward_subsumption_resolution,[],[f173,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT113+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:41:26 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % (814860)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (814865)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4062879052_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (814866)% WARNING: option uhcvi not known.
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % (814866)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2750441258:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (814867)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1981573627:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (814868)dis+10_1_sil=32000:sp=arity:random_seed=3478226184:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (814868) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-814860-814868"...
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % (814871)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2303945282:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (814868)...printing done.
% 0.18/0.48 % (814868)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (814868)------------------------------
% 0.18/0.48 % (814868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (814868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (814868)CaDiCaL version: 2.1.3
% 0.18/0.48 % (814868)Termination reason: Refutation
% 0.18/0.48 % (814868)Time elapsed: 0.006 s
% 0.18/0.48 % (814868)Peak memory usage: 11 MB
% 0.18/0.48 % (814868)Instructions burned: 8 (million)
% 0.18/0.48 % (814860)Success in time 0.047 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------