%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT111+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 : n020.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 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 12 unt; 1 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 180 ( 65 ~; 71 |; 43 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 90 ( 69 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
agent(portal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agent_portal) ).
fof(f2,axiom,
agent(ensemble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agent_ensemble) ).
fof(f3,axiom,
action(modify_act),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',action_modify) ).
fof(f4,axiom,
target(theater_ds),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',target_theater) ).
fof(f5,axiom,
~ ? [X0,X1] :
( proh(X0)
& aee(X0,portal)
& act(X0,modify_act)
& activates(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_proh_modify) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( agent(X0)
& action(X1)
& target(X2)
& ~ ? [X3,X4] :
( proh(X3)
& aee(X3,X0)
& act(X3,X1)
& activates(X4,X3) ) )
=> ? [X5] :
( permission(X5)
& bearer(X5,X0)
& cnt(X5,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_world_closure) ).
fof(f7,conjecture,
? [X0] :
( permission(X0)
& bearer(X0,portal)
& cnt(X0,modify_act,theater_ds) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f8,negated_conjecture,
~ ? [X0] :
( permission(X0)
& bearer(X0,portal)
& cnt(X0,modify_act,theater_ds) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( ~ proh(X0)
| ~ aee(X0,portal)
| ~ act(X0,modify_act)
| ~ activates(X1,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ? [X5] :
( permission(X5)
& bearer(X5,X0)
& cnt(X5,X1,X2) )
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| ? [X3,X4] :
( proh(X3)
& aee(X3,X0)
& act(X3,X1)
& activates(X4,X3) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ? [X5] :
( permission(X5)
& bearer(X5,X0)
& cnt(X5,X1,X2) )
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| ? [X3,X4] :
( proh(X3)
& aee(X3,X0)
& act(X3,X1)
& activates(X4,X3) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0] :
( ~ permission(X0)
| ~ bearer(X0,portal)
| ~ cnt(X0,modify_act,theater_ds) ),
inference(ennf_transformation,[],[f8]) ).
fof(f13,definition,
! [X0,X1] :
( ? [X3,X4] :
( proh(X3)
& aee(X3,X0)
& act(X3,X1)
& activates(X4,X3) )
| ~ sP0(X0,X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ? [X5] :
( permission(X5)
& bearer(X5,X0)
& cnt(X5,X1,X2) )
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| sP0(X0,X1) ),
inference(definition_folding,[],[f11,f13]) ).
fof(f15,plain,
! [X0,X1] :
( ? [X3,X4] :
( proh(X3)
& aee(X3,X0)
& act(X3,X1)
& activates(X4,X3) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f13]) ).
fof(f16,plain,
! [X0,X1] :
( ? [X2,X3] :
( proh(X2)
& aee(X2,X0)
& act(X2,X1)
& activates(X3,X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ( proh(sK1(X0,X1))
& aee(sK1(X0,X1),X0)
& act(sK1(X0,X1),X1)
& activates(sK2(X0,X1),sK1(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ? [X3] :
( permission(X3)
& bearer(X3,X0)
& cnt(X3,X1,X2) )
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| sP0(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( permission(sK3(X0,X1,X2))
& bearer(sK3(X0,X1,X2),X0)
& cnt(sK3(X0,X1,X2),X1,X2) )
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f18]) ).
fof(f20,plain,
agent(portal),
inference(cnf_transformation,[],[f1]) ).
fof(f21,plain,
agent(ensemble),
inference(cnf_transformation,[],[f2]) ).
fof(f22,plain,
action(modify_act),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
target(theater_ds),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0,X1] :
( ~ proh(X0)
| ~ aee(X0,portal)
| ~ act(X0,modify_act)
| ~ activates(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
! [X0,X1] :
( activates(sK2(X0,X1),sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( act(sK1(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f27,plain,
! [X0,X1] :
( aee(sK1(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f28,plain,
! [X0,X1] :
( proh(sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f29,plain,
! [X2,X0,X1] :
( cnt(sK3(X0,X1,X2),X1,X2)
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f30,plain,
! [X2,X0,X1] :
( bearer(sK3(X0,X1,X2),X0)
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
! [X2,X0,X1] :
( permission(sK3(X0,X1,X2))
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
! [X0] :
( ~ permission(X0)
| ~ bearer(X0,portal)
| ~ cnt(X0,modify_act,theater_ds) ),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
~ agent(portal),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f34,plain,
~ agent(ensemble),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f35,plain,
~ target(theater_ds),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f36,plain,
! [X0,X1] :
( proh(X0)
| aee(X0,portal)
| act(X0,modify_act)
| activates(X1,X0) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f37,plain,
! [X0,X1] :
( ~ proh(sK1(X0,X1))
| sP0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f38,plain,
! [X0,X1] :
( ~ aee(sK1(X0,X1),X0)
| sP0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f39,plain,
! [X0,X1] :
( ~ act(sK1(X0,X1),X1)
| sP0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f40,plain,
! [X0,X1] :
( ~ activates(sK2(X0,X1),sK1(X0,X1))
| sP0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f41,plain,
! [X2,X0,X1] :
( permission(sK3(X0,X1,X2))
| agent(X0)
| ~ action(X1)
| target(X2)
| ~ sP0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ bearer(sK3(X0,X1,X2),X0)
| agent(X0)
| ~ action(X1)
| target(X2)
| ~ sP0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ cnt(sK3(X0,X1,X2),X1,X2)
| agent(X0)
| ~ action(X1)
| target(X2)
| ~ sP0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f44,plain,
! [X0] :
( ~ permission(X0)
| bearer(X0,portal)
| cnt(X0,modify_act,theater_ds) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f64,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f33,f34,f22,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT111+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:40:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (3638675)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3638680)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2610108395_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % (3638680) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3638675-3638680"...
% 0.11/0.45 % (3638680)...printing done.
% 0.11/0.45 % (3638680)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3638680)------------------------------
% 0.11/0.45 % (3638680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3638680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3638680)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3638680)Termination reason: Refutation
% 0.11/0.45 % (3638680)Time elapsed: 0.002 s
% 0.11/0.45 % (3638680)Peak memory usage: 11 MB
% 0.11/0.45 % (3638680)Instructions burned: 4 (million)
% 0.11/0.45 % (3638675)Success in time 0.027 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------