%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO010+4 : 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 : n014.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 12:30:37 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 6 unt; 2 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 109 ( 38 ~; 35 |; 26 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 58 ( 0 sgn 40 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& occurrence_of(X2,tptp4)
& next_subocc(X1,X2,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X2,X3,tptp0)
& leaf_occ(X3,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f46,conjecture,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp1)
=> ~ ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X1,X3,tptp0) ) )
& ( occurrence_of(X2,tptp2)
=> ~ ? [X4] :
( occurrence_of(X4,tptp1)
& min_precedes(X1,X4,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f47,negated_conjecture,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp1)
=> ~ ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X1,X3,tptp0) ) )
& ( occurrence_of(X2,tptp2)
=> ~ ? [X4] :
( occurrence_of(X4,tptp1)
& min_precedes(X1,X4,tptp0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f69]) ).
fof(f96,plain,
! [X0] :
( ? [X1,X2,X3] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& occurrence_of(X2,tptp4)
& next_subocc(X1,X2,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X2,X3,tptp0)
& leaf_occ(X3,X0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f97,plain,
? [X0] :
( ! [X1,X2] :
( ~ leaf_occ(X2,X0)
| ( ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X1,X3,tptp0) )
& occurrence_of(X2,tptp1) )
| ( ? [X4] :
( occurrence_of(X4,tptp1)
& min_precedes(X1,X4,tptp0) )
& occurrence_of(X2,tptp2) ) )
& occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f154,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK14(X0),X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f175,plain,
! [X2,X1] :
( min_precedes(X1,sK16(X1),tptp0)
| min_precedes(X1,sK17(X1),tptp0)
| ~ leaf_occ(X2,sK15) ),
inference(cnf_transformation,[],[f97]) ).
fof(f180,plain,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f97]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| leaf_occ(X1,X0) ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f218,plain,
! [X0] :
( ~ leaf_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f228,plain,
! [X2,X1] :
( min_precedes(X1,sK16(X1),tptp0)
| min_precedes(X1,sK17(X1),tptp0)
| leaf_occ(X2,sK15) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f245,definition,
( spl18_4
<=> ! [X2] : leaf_occ(X2,sK15) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f246,plain,
( ! [X2] : leaf_occ(X2,sK15)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f256,definition,
( spl18_7
<=> ! [X1] :
( min_precedes(X1,sK16(X1),tptp0)
| min_precedes(X1,sK17(X1),tptp0) ) ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f257,plain,
( ! [X1] :
( min_precedes(X1,sK17(X1),tptp0)
| min_precedes(X1,sK16(X1),tptp0) )
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( spl18_4
| spl18_7 ),
inference(avatar_split_clause,[],[f228,f256,f245]) ).
fof(f288,plain,
( ~ occurrence_of(sK15,tptp0)
| ~ spl18_4 ),
inference(resolution,[],[f218,f246]) ).
fof(f289,plain,
( $false
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f288,f180]) ).
fof(f290,plain,
~ spl18_4,
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f345,plain,
( ! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(X1,X0)
| min_precedes(X1,sK16(X1),tptp0) )
| ~ spl18_7 ),
inference(resolution,[],[f192,f257]) ).
fof(f348,plain,
( ! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(X1,X0) )
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f345,f192]) ).
fof(f368,plain,
( ! [X0] : leaf_occ(X0,sK15)
| ~ spl18_7 ),
inference(resolution,[],[f348,f180]) ).
fof(f369,plain,
( spl18_4
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f368,f256,f245]) ).
cnf(s5,plain,
( spl18_4
| spl18_7 ),
inference(sat_conversion,[],[f258]) ).
cnf(s9,plain,
~ spl18_4,
inference(sat_conversion,[],[f290]) ).
cnf(s10,plain,
( spl18_4
| ~ spl18_7 ),
inference(sat_conversion,[],[f369]) ).
cnf(s11,plain,
~ spl18_7,
inference(rat,[],[s10,s9]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s5,s11,s9]) ).
fof(f370,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO010+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n014.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:21:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.47 % (1225930)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1225936)% WARNING: option uhcvi not known.
% 0.17/0.47 % (1225936)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3263939483:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1225936) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1225930-1225936"...
% 0.17/0.47 % (1225936)...printing done.
% 0.17/0.47 % (1225936)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1225936)------------------------------
% 0.17/0.47 % (1225936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1225936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1225936)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1225936)Termination reason: Refutation
% 0.17/0.47 % (1225936)Time elapsed: 0.004 s
% 0.17/0.47 % (1225936)Peak memory usage: 12 MB
% 0.17/0.47 % (1225936)Instructions burned: 9 (million)
% 0.17/0.47 % (1225930)Success in time 0.032 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------