%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT117+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 : n015.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 12:04:41 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 16 unt; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 553 ( 265 ~; 237 |; 49 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-6 aty)
% Number of variables : 163 ( 147 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perm(X0)
& strong(X0)
& aee(X0,X1)
& aer(X0,X2)
& act(X0,X3)
& tgt(X0,X4)
& activates(X5,X0) )
=> ? [X6,X7,X8] :
( founds_imm(X5,X6,X0)
& immunity(X7)
& bearer(X7,X1)
& cnt(X7,X3,X4)
& part_of(X7,X6)
& disability(X8)
& bearer(X8,X2)
& cnt(X8,X3,X4)
& part_of(X8,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_perm_relator_strong) ).
fof(f8,axiom,
perm(p1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',perm_p1) ).
fof(f9,axiom,
strong(p1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_p1) ).
fof(f10,axiom,
aee(p1,bibliothek),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aee_p1) ).
fof(f11,axiom,
aer(p1,museen),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aer_p1) ).
fof(f12,axiom,
act(p1,read),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_p1) ).
fof(f13,axiom,
tgt(p1,museum_api),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tgt_p1) ).
fof(f14,axiom,
activates(e1,p1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_e1_p1) ).
fof(f15,conjecture,
? [X0,X1] :
( founds_imm(e1,X0,p1)
& disability(X1)
& bearer(X1,museen)
& cnt(X1,read,museum_api)
& part_of(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f16,negated_conjecture,
~ ? [X0,X1] :
( founds_imm(e1,X0,p1)
& disability(X1)
& bearer(X1,museen)
& cnt(X1,read,museum_api)
& part_of(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( perm(X0)
& strong(X0)
& aee(X0,X1)
& aer(X0,X2)
& act(X0,X3)
& tgt(X0,X4)
& activates(X5,X0) )
=> ? [X6,X7,X8] :
( founds_imm(X5,X6,X0)
& bearer(X7,X1)
& cnt(X7,X3,X4)
& part_of(X7,X6)
& disability(X8)
& bearer(X8,X2)
& cnt(X8,X3,X4)
& part_of(X8,X6) ) ),
inference(pure_predicate_removal,[],[f1]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7,X8] :
( founds_imm(X5,X6,X0)
& bearer(X7,X1)
& cnt(X7,X3,X4)
& part_of(X7,X6)
& disability(X8)
& bearer(X8,X2)
& cnt(X8,X3,X4)
& part_of(X8,X6) )
| ~ perm(X0)
| ~ strong(X0)
| ~ aee(X0,X1)
| ~ aer(X0,X2)
| ~ act(X0,X3)
| ~ tgt(X0,X4)
| ~ activates(X5,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7,X8] :
( founds_imm(X5,X6,X0)
& bearer(X7,X1)
& cnt(X7,X3,X4)
& part_of(X7,X6)
& disability(X8)
& bearer(X8,X2)
& cnt(X8,X3,X4)
& part_of(X8,X6) )
| ~ perm(X0)
| ~ strong(X0)
| ~ aee(X0,X1)
| ~ aer(X0,X2)
| ~ act(X0,X3)
| ~ tgt(X0,X4)
| ~ activates(X5,X0) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ~ founds_imm(e1,X0,p1)
| ~ disability(X1)
| ~ bearer(X1,museen)
| ~ cnt(X1,read,museum_api)
| ~ part_of(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X4,X5] :
( part_of(sK2(X0,X1,X2,X3,X4,X5),sK0(X0,X1,X2,X3,X4,X5))
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0)
| ~ activates(X5,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
! [X2,X3,X0,X1,X4,X5] :
( cnt(sK2(X0,X1,X2,X3,X4,X5),X3,X4)
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0)
| ~ activates(X5,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] :
( bearer(sK2(X0,X1,X2,X3,X4,X5),X2)
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0)
| ~ activates(X5,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4,X5] :
( disability(sK2(X0,X1,X2,X3,X4,X5))
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0)
| ~ activates(X5,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4,X5] :
( founds_imm(X5,sK0(X0,X1,X2,X3,X4,X5),X0)
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0)
| ~ activates(X5,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
perm(p1),
inference(cnf_transformation,[],[f8]) ).
fof(f36,plain,
strong(p1),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
aee(p1,bibliothek),
inference(cnf_transformation,[],[f10]) ).
fof(f38,plain,
aer(p1,museen),
inference(cnf_transformation,[],[f11]) ).
fof(f39,plain,
act(p1,read),
inference(cnf_transformation,[],[f12]) ).
fof(f40,plain,
tgt(p1,museum_api),
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
activates(e1,p1),
inference(cnf_transformation,[],[f14]) ).
fof(f42,plain,
! [X0,X1] :
( ~ disability(X1)
| ~ cnt(X1,read,museum_api)
| ~ bearer(X1,museen)
| ~ part_of(X1,X0)
| ~ founds_imm(e1,X0,p1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ founds_imm(e1,X6,p1)
| ~ act(X0,X2)
| ~ aer(X0,X3)
| ~ aee(X0,X4)
| ~ strong(X0)
| ~ perm(X0)
| ~ activates(X5,X0)
| ~ cnt(sK2(X0,X4,X3,X2,X1,X5),read,museum_api)
| ~ bearer(sK2(X0,X4,X3,X2,X1,X5),museen)
| ~ part_of(sK2(X0,X4,X3,X2,X1,X5),X6)
| ~ tgt(X0,X1) ),
inference(resolution,[],[f30,f42]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ tgt(p1,X0)
| ~ act(p1,X1)
| ~ aer(p1,X2)
| ~ aee(p1,X3)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1)
| ~ act(X4,X5)
| ~ aer(X4,X6)
| ~ aee(X4,X7)
| ~ strong(X4)
| ~ perm(X4)
| ~ activates(X8,X4)
| ~ cnt(sK2(X4,X7,X6,X5,X9,X8),read,museum_api)
| ~ bearer(sK2(X4,X7,X6,X5,X9,X8),museen)
| ~ part_of(sK2(X4,X7,X6,X5,X9,X8),sK0(p1,X3,X2,X1,X0,e1))
| ~ tgt(X4,X9) ),
inference(resolution,[],[f34,f43]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ tgt(p1,X0)
| ~ act(p1,X1)
| ~ aer(p1,X2)
| ~ aee(p1,X3)
| ~ perm(p1)
| ~ activates(e1,p1)
| ~ act(X4,X5)
| ~ aer(X4,X6)
| ~ aee(X4,X7)
| ~ strong(X4)
| ~ perm(X4)
| ~ activates(X8,X4)
| ~ cnt(sK2(X4,X7,X6,X5,X9,X8),read,museum_api)
| ~ bearer(sK2(X4,X7,X6,X5,X9,X8),museen)
| ~ part_of(sK2(X4,X7,X6,X5,X9,X8),sK0(p1,X3,X2,X1,X0,e1))
| ~ tgt(X4,X9) ),
inference(forward_subsumption_resolution,[],[f44,f36]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ tgt(p1,X0)
| ~ act(p1,X1)
| ~ aer(p1,X2)
| ~ aee(p1,X3)
| ~ activates(e1,p1)
| ~ act(X4,X5)
| ~ aer(X4,X6)
| ~ aee(X4,X7)
| ~ strong(X4)
| ~ perm(X4)
| ~ activates(X8,X4)
| ~ cnt(sK2(X4,X7,X6,X5,X9,X8),read,museum_api)
| ~ bearer(sK2(X4,X7,X6,X5,X9,X8),museen)
| ~ part_of(sK2(X4,X7,X6,X5,X9,X8),sK0(p1,X3,X2,X1,X0,e1))
| ~ tgt(X4,X9) ),
inference(forward_subsumption_resolution,[],[f45,f35]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ part_of(sK2(X4,X7,X6,X5,X9,X8),sK0(p1,X3,X2,X1,X0,e1))
| ~ act(p1,X1)
| ~ aer(p1,X2)
| ~ aee(p1,X3)
| ~ act(X4,X5)
| ~ aer(X4,X6)
| ~ aee(X4,X7)
| ~ strong(X4)
| ~ perm(X4)
| ~ activates(X8,X4)
| ~ cnt(sK2(X4,X7,X6,X5,X9,X8),read,museum_api)
| ~ bearer(sK2(X4,X7,X6,X5,X9,X8),museen)
| ~ tgt(p1,X0)
| ~ tgt(X4,X9) ),
inference(forward_subsumption_resolution,[],[f46,f41]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ act(p1,X0)
| ~ aer(p1,X1)
| ~ aee(p1,X2)
| ~ act(p1,X0)
| ~ aer(p1,X1)
| ~ aee(p1,X2)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1)
| ~ cnt(sK2(p1,X2,X1,X0,X3,e1),read,museum_api)
| ~ bearer(sK2(p1,X2,X1,X0,X3,e1),museen)
| ~ tgt(p1,X3)
| ~ tgt(p1,X3)
| ~ tgt(p1,X3)
| ~ act(p1,X0)
| ~ aer(p1,X1)
| ~ aee(p1,X2)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(resolution,[],[f47,f27]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ act(p1,X0)
| ~ aer(p1,X1)
| ~ aee(p1,X2)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1)
| ~ cnt(sK2(p1,X2,X1,X0,X3,e1),read,museum_api)
| ~ bearer(sK2(p1,X2,X1,X0,X3,e1),museen)
| ~ tgt(p1,X3) ),
inference(duplicate_literal_removal,[],[f48]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ act(p1,X0)
| ~ aer(p1,X1)
| ~ aee(p1,X2)
| ~ perm(p1)
| ~ activates(e1,p1)
| ~ cnt(sK2(p1,X2,X1,X0,X3,e1),read,museum_api)
| ~ bearer(sK2(p1,X2,X1,X0,X3,e1),museen)
| ~ tgt(p1,X3) ),
inference(forward_subsumption_resolution,[],[f49,f36]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ act(p1,X0)
| ~ aer(p1,X1)
| ~ aee(p1,X2)
| ~ activates(e1,p1)
| ~ cnt(sK2(p1,X2,X1,X0,X3,e1),read,museum_api)
| ~ bearer(sK2(p1,X2,X1,X0,X3,e1),museen)
| ~ tgt(p1,X3) ),
inference(forward_subsumption_resolution,[],[f50,f35]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ cnt(sK2(p1,X2,X1,X0,X3,e1),read,museum_api)
| ~ aer(p1,X1)
| ~ aee(p1,X2)
| ~ act(p1,X0)
| ~ bearer(sK2(p1,X2,X1,X0,X3,e1),museen)
| ~ tgt(p1,X3) ),
inference(forward_subsumption_resolution,[],[f51,f41]) ).
fof(f53,plain,
! [X0,X1] :
( ~ aer(p1,X0)
| ~ aee(p1,X1)
| ~ act(p1,read)
| ~ bearer(sK2(p1,X1,X0,read,museum_api,e1),museen)
| ~ tgt(p1,museum_api)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ aer(p1,X0)
| ~ aee(p1,X1)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(resolution,[],[f52,f28]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aer(p1,X0)
| ~ aee(p1,X1)
| ~ act(p1,read)
| ~ bearer(sK2(p1,X1,X0,read,museum_api,e1),museen)
| ~ tgt(p1,museum_api)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ~ aer(p1,X0)
| ~ aee(p1,X1)
| ~ bearer(sK2(p1,X1,X0,read,museum_api,e1),museen)
| ~ tgt(p1,museum_api)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f54,f39]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aer(p1,X0)
| ~ aee(p1,X1)
| ~ bearer(sK2(p1,X1,X0,read,museum_api,e1),museen)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f55,f40]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aer(p1,X0)
| ~ aee(p1,X1)
| ~ bearer(sK2(p1,X1,X0,read,museum_api,e1),museen)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f56,f36]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aer(p1,X0)
| ~ aee(p1,X1)
| ~ bearer(sK2(p1,X1,X0,read,museum_api,e1),museen)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f57,f35]) ).
fof(f59,plain,
! [X0,X1] :
( ~ bearer(sK2(p1,X1,X0,read,museum_api,e1),museen)
| ~ aee(p1,X1)
| ~ aer(p1,X0) ),
inference(forward_subsumption_resolution,[],[f58,f41]) ).
fof(f60,plain,
! [X0] :
( ~ aee(p1,X0)
| ~ aer(p1,museen)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ aer(p1,museen)
| ~ aee(p1,X0)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(resolution,[],[f59,f29]) ).
fof(f61,plain,
! [X0] :
( ~ aee(p1,X0)
| ~ aer(p1,museen)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(duplicate_literal_removal,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ~ aee(p1,X0)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f61,f38]) ).
fof(f63,plain,
! [X0] :
( ~ aee(p1,X0)
| ~ act(p1,read)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f62,f40]) ).
fof(f64,plain,
! [X0] :
( ~ aee(p1,X0)
| ~ strong(p1)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f63,f39]) ).
fof(f65,plain,
! [X0] :
( ~ aee(p1,X0)
| ~ perm(p1)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f64,f36]) ).
fof(f66,plain,
! [X0] :
( ~ aee(p1,X0)
| ~ activates(e1,p1) ),
inference(forward_subsumption_resolution,[],[f65,f35]) ).
fof(f67,plain,
! [X0] : ~ aee(p1,X0),
inference(forward_subsumption_resolution,[],[f66,f41]) ).
fof(f68,plain,
$false,
inference(resolution,[],[f67,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.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 17:43:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.45 % (1893364)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1893373)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2236245482:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (1893373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1893364-1893373"...
% 0.11/0.45 % (1893373)...printing done.
% 0.11/0.45 % (1893373)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 % (1893373)------------------------------
% 0.11/0.45 % (1893373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1893373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1893373)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1893373)Termination reason: Refutation
% 0.11/0.45 % (1893373)Time elapsed: 0.002 s
% 0.11/0.45 % (1893373)Peak memory usage: 11 MB
% 0.11/0.45 % (1893373)Instructions burned: 5 (million)
% 0.11/0.45 % (1893364)Success in time 0.027 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------