%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 12:02:24 PM UTC 2026
% Result : Theorem 4.75s 1.58s
% Output : Refutation 4.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 10 unt; 1 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 238 ( 101 ~; 93 |; 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 79 ( 58 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
agent(portal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agent_portal) ).
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] :
( ~ permission(X0)
| ~ bearer(X0,portal)
| ~ cnt(X0,modify_act,theater_ds) ),
inference(ennf_transformation,[],[f8]) ).
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,X1] :
( ~ proh(X0)
| ~ aee(X0,portal)
| ~ act(X0,modify_act)
| ~ activates(X1,X0) ),
inference(ennf_transformation,[],[f5]) ).
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,
! [X0] :
( ~ cnt(X0,modify_act,theater_ds)
| ~ bearer(X0,portal)
| ~ permission(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
agent(portal),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
target(theater_ds),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0,X1] :
( activates(sK2(X0,X1),sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0,X1] :
( act(sK1(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f25,plain,
! [X0,X1] :
( aee(sK1(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( proh(sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f27,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(f28,plain,
! [X2,X0,X1] :
( bearer(sK3(X0,X1,X2),X0)
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f29,plain,
! [X2,X0,X1] :
( permission(sK3(X0,X1,X2))
| ~ agent(X0)
| ~ action(X1)
| ~ target(X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f30,plain,
action(modify_act),
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
! [X0,X1] :
( ~ activates(X1,X0)
| ~ aee(X0,portal)
| ~ act(X0,modify_act)
| ~ proh(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0,X1] :
( ~ aee(sK1(X0,X1),portal)
| ~ act(sK1(X0,X1),modify_act)
| ~ proh(sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f31,f23]) ).
fof(f33,plain,
! [X0,X1] :
( ~ act(sK1(X0,X1),modify_act)
| ~ aee(sK1(X0,X1),portal)
| ~ sP0(X0,X1) ),
inference(forward_subsumption_resolution,[],[f32,f26]) ).
fof(f34,plain,
! [X0] :
( ~ aee(sK1(X0,modify_act),portal)
| ~ sP0(X0,modify_act)
| ~ sP0(X0,modify_act) ),
inference(resolution,[],[f33,f24]) ).
fof(f35,plain,
! [X0] :
( ~ aee(sK1(X0,modify_act),portal)
| ~ sP0(X0,modify_act) ),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f36,plain,
( ~ sP0(portal,modify_act)
| ~ sP0(portal,modify_act) ),
inference(resolution,[],[f35,f25]) ).
fof(f37,plain,
~ sP0(portal,modify_act),
inference(duplicate_literal_removal,[],[f36]) ).
fof(f38,plain,
! [X0] :
( ~ agent(X0)
| ~ action(modify_act)
| ~ target(theater_ds)
| sP0(X0,modify_act)
| ~ bearer(sK3(X0,modify_act,theater_ds),portal)
| ~ permission(sK3(X0,modify_act,theater_ds)) ),
inference(resolution,[],[f27,f20]) ).
fof(f39,plain,
! [X0] :
( ~ agent(X0)
| ~ target(theater_ds)
| sP0(X0,modify_act)
| ~ bearer(sK3(X0,modify_act,theater_ds),portal)
| ~ permission(sK3(X0,modify_act,theater_ds)) ),
inference(forward_subsumption_resolution,[],[f38,f30]) ).
fof(f40,plain,
! [X0] :
( ~ bearer(sK3(X0,modify_act,theater_ds),portal)
| sP0(X0,modify_act)
| ~ agent(X0)
| ~ permission(sK3(X0,modify_act,theater_ds)) ),
inference(forward_subsumption_resolution,[],[f39,f22]) ).
fof(f41,plain,
( sP0(portal,modify_act)
| ~ agent(portal)
| ~ permission(sK3(portal,modify_act,theater_ds))
| ~ agent(portal)
| ~ action(modify_act)
| ~ target(theater_ds)
| sP0(portal,modify_act) ),
inference(resolution,[],[f40,f28]) ).
fof(f42,plain,
( sP0(portal,modify_act)
| ~ agent(portal)
| ~ permission(sK3(portal,modify_act,theater_ds))
| ~ action(modify_act)
| ~ target(theater_ds) ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f43,plain,
( ~ agent(portal)
| ~ permission(sK3(portal,modify_act,theater_ds))
| ~ action(modify_act)
| ~ target(theater_ds) ),
inference(forward_subsumption_resolution,[],[f42,f37]) ).
fof(f44,plain,
( ~ permission(sK3(portal,modify_act,theater_ds))
| ~ action(modify_act)
| ~ target(theater_ds) ),
inference(forward_subsumption_resolution,[],[f43,f21]) ).
fof(f45,plain,
( ~ permission(sK3(portal,modify_act,theater_ds))
| ~ target(theater_ds) ),
inference(forward_subsumption_resolution,[],[f44,f30]) ).
fof(f46,plain,
~ permission(sK3(portal,modify_act,theater_ds)),
inference(forward_subsumption_resolution,[],[f45,f22]) ).
fof(f47,plain,
( ~ agent(portal)
| ~ action(modify_act)
| ~ target(theater_ds)
| sP0(portal,modify_act) ),
inference(resolution,[],[f46,f29]) ).
fof(f48,plain,
( ~ action(modify_act)
| ~ target(theater_ds)
| sP0(portal,modify_act) ),
inference(forward_subsumption_resolution,[],[f47,f21]) ).
fof(f49,plain,
( ~ target(theater_ds)
| sP0(portal,modify_act) ),
inference(forward_subsumption_resolution,[],[f48,f30]) ).
fof(f50,plain,
sP0(portal,modify_act),
inference(forward_subsumption_resolution,[],[f49,f22]) ).
fof(f51,plain,
$false,
inference(forward_subsumption_resolution,[],[f50,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT111+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 17:41:11 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.75/1.57 % (814063)Detected formulas, will run a generic FOF schedule.
% 4.75/1.57 % (814143)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=609329409:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.75/1.57 % (814144)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=200737156:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.75/1.57 % (814146)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1314860460:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.75/1.57 % (814148)dis-21_1_sil=8000:lcm=predicate:random_seed=3629931533: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)
% 4.75/1.57 % (814142)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=1107216817:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.75/1.58 % (814146)First to succeed.
% 4.75/1.58 % (814148)Also succeeded, but the first one will report.
% 4.75/1.58 % (814146)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-814063"
% 4.75/1.58 % (814147)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3445786528:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.75/1.58 % (814147)Also succeeded, but the first one will report.
% 4.75/1.58 % (814145)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=606651119:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.75/1.58 % (814145)Refutation not found, incomplete strategy
% 4.75/1.58 % (814145)------------------------------
% 4.75/1.58 % (814145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.58 % (814145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.58 % (814145)CaDiCaL version: 2.1.3
% 4.75/1.58 % (814145)Termination reason: Refutation not found, incomplete strategy
% 4.75/1.58 % (814145)Time elapsed: 0.001 s
% 4.75/1.58 % (814145)Peak memory usage: 87 MB
% 4.75/1.58 % (814146)Refutation found. Thanks to Tanya!
% 4.75/1.58 % SZS status Theorem for theBenchmark
% 4.75/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 4.75/1.58 % (814146)------------------------------
% 4.75/1.58 % (814146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.58 % (814146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.58 % (814146)CaDiCaL version: 2.1.3
% 4.75/1.58 % (814146)Termination reason: Refutation
% 4.75/1.58 % (814146)Time elapsed: 0.004 s
% 4.75/1.58 % (814146)Peak memory usage: 88 MB
% 4.75/1.58 % (814146)Instructions burned: 2 (million)
% 4.75/1.58 % (814146)------------------------------
% 4.75/1.58 % (814146)------------------------------
% 4.75/1.58 % (814063)Success in time 0.605 s
% 4.75/1.58 % Vampire exiting
%------------------------------------------------------------------------------