%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:05:47 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 10 unt; 2 def)
% Number of atoms : 101 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 111 ( 52 ~; 39 |; 5 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 27 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(f5,axiom,
! [X0] :
( dive(X0)
=> ! [X1] :
( ( outcome(X0,X1)
& bad(X1) )
=> X1 = dci ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',no_deep_long) ).
fof(f7,conjecture,
! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ),
file('/export/starexec/sandbox2/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(f19,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit)
| greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) ),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
! [X0] :
( ~ outcome(X0,dci)
| ~ dive(X0)
| greater(nitrogen(X0),nitrogen_limit) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] :
( ~ bad(X1)
| ~ dive(X0)
| ~ outcome(X0,X1)
| dci = X1 ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(time(X0),time_limit) ),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(depth(X0),depth_limit) ),
inference(cnf_transformation,[],[f14]) ).
fof(f26,plain,
outcome(sK0,sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
bad(sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
dive(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit)
| greater(depth(X0),depth_limit) ),
inference(forward_subsumption_resolution,[],[f19,f24]) ).
fof(f30,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit) ),
inference(forward_subsumption_resolution,[],[f29,f25]) ).
fof(f33,plain,
~ greater(nitrogen(sK0),nitrogen_limit),
inference(resolution,[],[f30,f28]) ).
fof(f35,plain,
! [X0] :
( ~ dive(X0)
| ~ outcome(X0,sK1)
| dci = sK1 ),
inference(resolution,[],[f23,f27]) ).
fof(f37,definition,
( spl2_1
<=> dci = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f39,plain,
( dci = sK1
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl2_2
<=> ! [X0] :
( ~ dive(X0)
| ~ outcome(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f42,plain,
( ! [X0] :
( ~ outcome(X0,sK1)
| ~ dive(X0) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
fof(f44,plain,
( ~ dive(sK0)
| ~ spl2_2 ),
inference(resolution,[],[f42,f26]) ).
fof(f45,plain,
( $false
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f44,f28]) ).
fof(f46,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f45]) ).
fof(f47,plain,
( outcome(sK0,dci)
| ~ spl2_1 ),
inference(superposition,[],[f26,f39]) ).
fof(f50,plain,
( ~ dive(sK0)
| greater(nitrogen(sK0),nitrogen_limit)
| ~ spl2_1 ),
inference(resolution,[],[f47,f20]) ).
fof(f51,plain,
( greater(nitrogen(sK0),nitrogen_limit)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f50,f28]) ).
fof(f52,plain,
( $false
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f51,f33]) ).
fof(f53,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f52]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f43]) ).
cnf(s2,plain,
~ spl2_2,
inference(sat_conversion,[],[f46]) ).
cnf(s3,plain,
~ spl2_1,
inference(sat_conversion,[],[f53]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f54,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 % Computer : n018.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 17:45:23 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 Running first-order model finding
% 0.13/0.37 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41 % (2628382)Will run a generic schedule for satisfiability detection.
% 0.13/0.41 % (2628391)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3143662284:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.41 % (2628391) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2628382-2628391"...
% 0.13/0.41 % (2628391)...printing done.
% 0.13/0.41 % (2628391)Refutation found. Thanks to Tanya!
% 0.13/0.41 % SZS status Theorem for theBenchmark
% 0.13/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.41 % (2628391)------------------------------
% 0.13/0.41 % (2628391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.41 % (2628391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.41 % (2628391)CaDiCaL version: 2.1.3
% 0.13/0.41 % (2628391)Termination reason: Refutation
% 0.13/0.41 % (2628391)Time elapsed: 0.002 s
% 0.13/0.41 % (2628391)Peak memory usage: 12 MB
% 0.13/0.41 % (2628391)Instructions burned: 2 (million)
% 0.13/0.41 % (2628382)Success in time 0.026 s
% 0.13/0.41 % Vampire exiting
%------------------------------------------------------------------------------