%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP022+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 02:34:21 PM UTC 2026
% Result : Theorem 0.21s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 23 ~; 20 |; 11 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 66 ( 55 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( isomorphic_groups(X0,X1)
<=> ? [X2] : a_group_isomorphism_from_to(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isomorphic_groups_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( path_connected(X0)
<=> ( ( a_member_of(X1,X0)
& a_member_of(X2,X0) )
=> ? [X3] : a_path_from_to_in(X3,X1,X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_connected_defn) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( a_path_from_to_in(X0,X1,X2,X3)
=> a_group_isomorphism_from_to(alpha_hat(X0),first_homotop_grp(X3,X1),first_homotop_grp(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_8_2_1) ).
fof(f4,conjecture,
! [X0,X1,X2] :
( ( path_connected(X0)
& a_member_of(X1,X0)
& a_member_of(X2,X0) )
=> isomorphic_groups(first_homotop_grp(X0,X1),first_homotop_grp(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_8_2_2) ).
fof(f5,negated_conjecture,
~ ! [X0,X1,X2] :
( ( path_connected(X0)
& a_member_of(X1,X0)
& a_member_of(X2,X0) )
=> isomorphic_groups(first_homotop_grp(X0,X1),first_homotop_grp(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ? [X2] : a_group_isomorphism_from_to(X2,X0,X1)
=> isomorphic_groups(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( isomorphic_groups(X0,X1)
| ! [X2] : ~ a_group_isomorphism_from_to(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( path_connected(X0)
<=> ( ? [X3] : a_path_from_to_in(X3,X1,X2,X0)
| ~ a_member_of(X1,X0)
| ~ a_member_of(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( path_connected(X0)
<=> ( ? [X3] : a_path_from_to_in(X3,X1,X2,X0)
| ~ a_member_of(X1,X0)
| ~ a_member_of(X2,X0) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( a_group_isomorphism_from_to(alpha_hat(X0),first_homotop_grp(X3,X1),first_homotop_grp(X3,X2))
| ~ a_path_from_to_in(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
? [X0,X1,X2] :
( ~ isomorphic_groups(first_homotop_grp(X0,X1),first_homotop_grp(X0,X2))
& path_connected(X0)
& a_member_of(X1,X0)
& a_member_of(X2,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f12,plain,
? [X0,X1,X2] :
( ~ isomorphic_groups(first_homotop_grp(X0,X1),first_homotop_grp(X0,X2))
& path_connected(X0)
& a_member_of(X1,X0)
& a_member_of(X2,X0) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ a_group_isomorphism_from_to(X2,X0,X1)
| isomorphic_groups(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ a_member_of(X2,X0)
| ~ a_member_of(X1,X0)
| a_path_from_to_in(sK0(X0,X1,X2),X1,X2,X0)
| ~ path_connected(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ a_path_from_to_in(X0,X1,X2,X3)
| a_group_isomorphism_from_to(alpha_hat(X0),first_homotop_grp(X3,X1),first_homotop_grp(X3,X2)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
a_member_of(sK3,sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
a_member_of(sK2,sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
path_connected(sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f22,plain,
~ isomorphic_groups(first_homotop_grp(sK1,sK2),first_homotop_grp(sK1,sK3)),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X2,X0,X1] :
( a_group_isomorphism_from_to(X2,X0,X1)
| isomorphic_groups(X0,X1) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ a_path_from_to_in(sK0(X0,X1,X2),X1,X2,X0)
| a_member_of(X1,X0)
| a_member_of(X2,X0)
| ~ path_connected(X0) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( ~ a_group_isomorphism_from_to(alpha_hat(X0),first_homotop_grp(X3,X1),first_homotop_grp(X3,X2))
| a_path_from_to_in(X0,X1,X2,X3) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f29,plain,
~ a_member_of(sK2,sK1),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f30,plain,
~ a_member_of(sK3,sK1),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( a_path_from_to_in(X0,X1,X2,X3)
| isomorphic_groups(first_homotop_grp(X3,X1),first_homotop_grp(X3,X2)) ),
inference(resolution,[],[f28,f23]) ).
fof(f34,plain,
! [X0] : a_path_from_to_in(X0,sK2,sK3,sK1),
inference(resolution,[],[f31,f22]) ).
fof(f35,plain,
( a_member_of(sK2,sK1)
| a_member_of(sK3,sK1)
| ~ path_connected(sK1) ),
inference(resolution,[],[f34,f27]) ).
fof(f36,plain,
( a_member_of(sK3,sK1)
| ~ path_connected(sK1) ),
inference(forward_subsumption_resolution,[],[f35,f29]) ).
fof(f37,plain,
~ path_connected(sK1),
inference(forward_subsumption_resolution,[],[f36,f30]) ).
fof(f38,plain,
$false,
inference(forward_subsumption_resolution,[],[f37,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP022+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n026.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 18:51:28 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.21/0.26 % (4148318)Will run a generic schedule for satisfiability detection.
% 0.21/0.26 % (4148323)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2391533683_3000 on theBenchmark for (3000ds/0Mi)
% 0.21/0.26 % TRYING [1]
% 0.21/0.26 % TRYING [2]
% 0.21/0.26 % TRYING [3]
% 0.21/0.26 % TRYING [4]
% 0.21/0.26 % TRYING [5]
% 0.21/0.26 % (4148324)% WARNING: option uhcvi not known.
% 0.21/0.26 % TRYING [6]
% 0.21/0.26 % TRYING [7]
% 0.21/0.26 % (4148325)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2630974978:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.21/0.26 % (4148326)dis+10_1_sil=32000:sp=arity:random_seed=431182458:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.21/0.26 % (4148324)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1579394698:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.21/0.26 % (4148328)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1965166251:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.21/0.26 % (4148327)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3158982609:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.21/0.26 % (4148329)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3170057676:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.21/0.26 % (4148326) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4148318-4148326"...
% 0.21/0.26 % (4148324) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4148318-4148324"...
% 0.21/0.26 % (4148328) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4148318-4148328"...
% 0.21/0.26 % (4148327) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4148318-4148327"...
% 0.21/0.26 % (4148325) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4148318-4148325"...
% 0.21/0.26 % (4148329) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4148318-4148329"...
% 0.21/0.26 % (4148326)...printing done.
% 0.21/0.26 % (4148324)...printing done.
% 0.21/0.26 % TRYING [8]
% 0.21/0.26 % (4148328)...printing done.
% 0.21/0.26 % (4148327)...printing done.
% 0.21/0.26 % (4148324)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Theorem for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.26 % (4148324)------------------------------
% 0.21/0.26 % (4148324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (4148324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (4148324)CaDiCaL version: 2.1.3
% 0.21/0.26 % (4148324)Termination reason: Refutation
% 0.21/0.26 % (4148324)Time elapsed: 0.002 s
% 0.21/0.26 % (4148324)Peak memory usage: 11 MB
% 0.21/0.26 % (4148324)Instructions burned: 1 (million)
% 0.21/0.26 % (4148318)Success in time 0.025 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------