%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:05:12 PM UTC 2026
% Result : Theorem 0.18s 1.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 97 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 111 ( 47 ~; 39 |; 12 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 30 ( 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( dive(X0)
=> ( ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit) )
<=> greater(nitrogen(X0),nitrogen_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
fof(f3,axiom,
! [X0] :
( dive(X0)
=> ( greater(nitrogen(X0),nitrogen_limit)
<=> outcome(X0,dci) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(f5,axiom,
! [X0] :
( dive(X0)
=> ! [X1] :
( ( outcome(X0,X1)
& bad(X1) )
=> X1 = dci ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
fof(f6,axiom,
! [X0] :
( dive(X0)
=> ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_deep_long) ).
fof(f7,conjecture,
! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_bad) ).
fof(f8,negated_conjecture,
~ ! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
! [X0] :
( ( ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit) )
<=> greater(nitrogen(X0),nitrogen_limit) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f11,plain,
! [X0] :
( ( greater(nitrogen(X0),nitrogen_limit)
<=> outcome(X0,dci) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( X1 = dci
| ~ outcome(X0,X1)
| ~ bad(X1) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( X1 = dci
| ~ outcome(X0,X1)
| ~ bad(X1) )
| ~ dive(X0) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f15,plain,
? [X0] :
( ? [X1] :
( bad(X1)
& outcome(X0,X1) )
& dive(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f16,plain,
! [X0] :
( ( ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit) )
& ( greater(nitrogen(X0),nitrogen_limit)
| ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) ) )
| ~ dive(X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0] :
( ( ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit) )
& ( greater(nitrogen(X0),nitrogen_limit)
| ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) ) )
| ~ dive(X0) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ( ( greater(nitrogen(X0),nitrogen_limit)
| ~ outcome(X0,dci) )
& ( outcome(X0,dci)
| ~ greater(nitrogen(X0),nitrogen_limit) ) )
| ~ dive(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f19,plain,
( bad(sK1)
& outcome(sK0,sK1)
& dive(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f15]) ).
fof(f23,plain,
! [X0] :
( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f25,plain,
! [X0] :
( ~ outcome(X0,dci)
| greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X0,X1] :
( ~ dive(X0)
| ~ outcome(X0,X1)
| ~ bad(X1)
| dci = X1 ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0] :
( ~ greater(time(X0),time_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0] :
( ~ greater(depth(X0),depth_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
dive(sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
outcome(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
bad(sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f33,plain,
! [X0] :
( ~ outcome(sK0,X0)
| ~ bad(X0)
| dci = X0 ),
inference(resolution,[],[f27,f30]) ).
fof(f34,plain,
( ~ bad(sK1)
| dci = sK1 ),
inference(resolution,[],[f33,f31]) ).
fof(f35,plain,
dci = sK1,
inference(forward_subsumption_resolution,[],[f34,f32]) ).
fof(f36,plain,
! [X0] :
( greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(forward_subsumption_resolution,[],[f23,f29]) ).
fof(f37,plain,
! [X0] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(forward_subsumption_resolution,[],[f36,f28]) ).
fof(f38,plain,
outcome(sK0,dci),
inference(superposition,[],[f31,f35]) ).
fof(f41,plain,
( greater(nitrogen(sK0),nitrogen_limit)
| ~ dive(sK0) ),
inference(resolution,[],[f38,f25]) ).
fof(f42,plain,
~ dive(sK0),
inference(forward_subsumption_resolution,[],[f41,f37]) ).
fof(f43,plain,
$false,
inference(forward_subsumption_resolution,[],[f42,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.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 17:43:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.18/1.40 % (3779483)Detected formulas, will run a generic FOF schedule.
% 0.18/1.40 % (3779510)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2161178803:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 0.18/1.40 % (3779511)dis-21_1_sil=8000:lcm=predicate:random_seed=2797160340:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 0.18/1.40 % (3779509)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1145365381:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 0.18/1.40 % (3779505)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=2744965518:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 0.18/1.40 % (3779509)Refutation not found, incomplete strategy
% 0.18/1.40 % (3779509)------------------------------
% 0.18/1.40 % (3779509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.40 % (3779509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.40 % (3779509)CaDiCaL version: 2.1.3
% 0.18/1.40 % (3779509)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.40 % (3779509)Time elapsed: 0.0000 s
% 0.18/1.40 % (3779509)Peak memory usage: 86 MB
% 0.18/1.40 % (3779511)Refutation not found, incomplete strategy
% 0.18/1.40 % (3779511)------------------------------
% 0.18/1.40 % (3779511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.40 % (3779511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.40 % (3779511)CaDiCaL version: 2.1.3
% 0.18/1.40 % (3779511)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.40 % (3779511)Time elapsed: 0.001 s
% 0.18/1.40 % (3779511)Peak memory usage: 88 MB
% 0.18/1.40 % (3779510)First to succeed.
% 0.18/1.40 % (3779510)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3779483"
% 0.18/1.40 % (3779507)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3959214335:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 0.18/1.40 % (3779504)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=704981910:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 0.18/1.40 % (3779507)Refutation not found, incomplete strategy
% 0.18/1.40 % (3779507)------------------------------
% 0.18/1.40 % (3779507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.40 % (3779507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.40 % (3779507)CaDiCaL version: 2.1.3
% 0.18/1.40 % (3779507)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.40 % (3779507)Time elapsed: 0.001 s
% 0.18/1.40 % (3779507)Peak memory usage: 86 MB
% 0.18/1.40 % (3779503)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=630274328:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 0.18/1.40 % (3779509)------------------------------
% 0.18/1.40 % (3779509)------------------------------
% 0.18/1.40 % (3779511)------------------------------
% 0.18/1.40 % (3779511)------------------------------
% 0.18/1.40 % (3779507)------------------------------
% 0.18/1.40 % (3779507)------------------------------
% 0.18/1.40 % (3779510)Refutation found. Thanks to Tanya!
% 0.18/1.40 % SZS status Theorem for theBenchmark
% 0.18/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.40 % (3779510)------------------------------
% 0.18/1.40 % (3779510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.40 % (3779510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.40 % (3779510)CaDiCaL version: 2.1.3
% 0.18/1.40 % (3779510)Termination reason: Refutation
% 0.18/1.40 % (3779510)Time elapsed: 0.002 s
% 0.18/1.40 % (3779510)Peak memory usage: 89 MB
% 0.18/1.40 % (3779510)Instructions burned: 2 (million)
% 0.18/1.40 % (3779510)------------------------------
% 0.18/1.40 % (3779510)------------------------------
% 0.18/1.40 % (3779483)Success in time 0.384 s
% 0.18/1.40 % Vampire exiting
%------------------------------------------------------------------------------