%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV199+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 01:20:26 PM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 16 unt; 4 def)
% Number of atoms : 317 ( 188 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 338 ( 77 ~; 75 |; 170 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,pred(pv5)) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( ( ~ ( n0 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( n2 = X4
& pv5 = X5 ) )
=> a_select3(z_defuse,X4,X5) = use ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,pred(pv5)) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( ( ~ ( n0 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( n2 = X4
& pv5 = X5 ) )
=> a_select3(z_defuse,X4,X5) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f85,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> X0 = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f87,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ( X0 = n0
| X0 = n1
| X0 = n2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f143,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& ( n0 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( n2 != X4
| pv5 != X5 )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5)) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& ( n0 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( n2 != X4
| pv5 != X5 )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5)) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ) ),
inference(flattening,[],[f143]) ).
fof(f149,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f150,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(flattening,[],[f149]) ).
fof(f153,plain,
! [X0] :
( X0 = n0
| X0 = n1
| X0 = n2
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f154,plain,
! [X0] :
( X0 = n0
| X0 = n1
| X0 = n2
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(flattening,[],[f153]) ).
fof(f315,plain,
( pv5 != sK32
| n0 != sK31 ),
inference(cnf_transformation,[],[f144]) ).
fof(f316,plain,
( pv5 != sK32
| n1 != sK31 ),
inference(cnf_transformation,[],[f144]) ).
fof(f317,plain,
( pv5 != sK32
| n2 != sK31 ),
inference(cnf_transformation,[],[f144]) ).
fof(f318,plain,
leq(sK32,pv5),
inference(cnf_transformation,[],[f144]) ).
fof(f319,plain,
leq(sK31,n2),
inference(cnf_transformation,[],[f144]) ).
fof(f320,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f144]) ).
fof(f321,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f144]) ).
fof(f326,plain,
leq(pv5,n0),
inference(cnf_transformation,[],[f144]) ).
fof(f327,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f144]) ).
fof(f385,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f387,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f465,definition,
( spl33_1
<=> n0 = sK31 ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f467,plain,
( n0 != sK31
| spl33_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl33_2
<=> pv5 = sK32 ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f471,plain,
( pv5 != sK32
| spl33_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f315,f469,f465]) ).
fof(f474,definition,
( spl33_3
<=> n1 = sK31 ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f476,plain,
( n1 != sK31
| spl33_3 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,plain,
( ~ spl33_3
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f316,f469,f474]) ).
fof(f479,definition,
( spl33_4
<=> n2 = sK31 ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f481,plain,
( n2 != sK31
| spl33_4 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,plain,
( ~ spl33_4
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f317,f469,f479]) ).
fof(f613,plain,
( ~ leq(n0,pv5)
| n0 = pv5 ),
inference(resolution,[],[f385,f326]) ).
fof(f614,plain,
n0 = pv5,
inference(forward_subsumption_resolution,[],[f613,f327]) ).
fof(f617,plain,
leq(sK32,n0),
inference(superposition,[],[f318,f614]) ).
fof(f629,plain,
( ~ leq(n0,sK32)
| n0 = sK32 ),
inference(resolution,[],[f617,f385]) ).
fof(f631,plain,
n0 = sK32,
inference(forward_subsumption_resolution,[],[f629,f320]) ).
fof(f703,plain,
( n0 != pv5
| spl33_2 ),
inference(superposition,[],[f471,f631]) ).
fof(f706,plain,
( $false
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f703,f614]) ).
fof(f707,plain,
spl33_2,
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f1115,plain,
( ~ leq(n0,sK31)
| n2 = sK31
| n1 = sK31
| n0 = sK31 ),
inference(resolution,[],[f387,f319]) ).
fof(f1116,plain,
( n2 = sK31
| n1 = sK31
| n0 = sK31 ),
inference(forward_subsumption_resolution,[],[f1115,f321]) ).
fof(f1118,plain,
( n1 = sK31
| n0 = sK31
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f1116,f481]) ).
fof(f1120,plain,
( n0 = sK31
| spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f1118,f476]) ).
fof(f1121,plain,
( $false
| spl33_1
| spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f1120,f467]) ).
fof(f1122,plain,
( spl33_1
| spl33_3
| spl33_4 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
cnf(s1,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(sat_conversion,[],[f472]) ).
cnf(s2,plain,
( ~ spl33_2
| ~ spl33_3 ),
inference(sat_conversion,[],[f477]) ).
cnf(s3,plain,
( ~ spl33_2
| ~ spl33_4 ),
inference(sat_conversion,[],[f482]) ).
cnf(s6,plain,
spl33_2,
inference(sat_conversion,[],[f707]) ).
cnf(s8,plain,
( spl33_1
| spl33_3
| spl33_4 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s9,plain,
~ spl33_4,
inference(rat,[],[s3,s6]) ).
cnf(s10,plain,
~ spl33_3,
inference(rat,[],[s2,s6]) ).
cnf(s11,plain,
spl33_1,
inference(rat,[],[s8,s9,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s6,s11]) ).
fof(f1123,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV199+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.18 % Computer : n026.cluster.edu
% 0.05/0.18 % Model : x86_64 x86_64
% 0.05/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.18 % Memory : 8046.5625MB
% 0.05/0.18 % OS : Linux 6.8.0-71-generic
% 0.05/0.18 % CPULimit : 300
% 0.05/0.18 % WCLimit : 300
% 0.05/0.18 % DateTime : Mon Sep 28 10:11:41 UTC 2026
% 0.05/0.18 % CPUTime :
% 0.05/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.21 Running first-order model finding
% 0.05/0.21 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
% 0.19/0.29 % (3748353)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (3748360)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1024410100:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (3748359)% WARNING: option uhcvi not known.
% 0.19/0.29 % (3748358)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1987948747_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (3748359)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2927841317:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (3748361)dis+10_1_sil=32000:sp=arity:random_seed=4206549754:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (3748362)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=431044394:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (3748363)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1715844644:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (3748364)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=796509620:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (3748359) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3748353-3748359"...
% 0.19/0.29 % (3748361) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3748353-3748361"...
% 0.19/0.29 % (3748359)...printing done.
% 0.19/0.29 % (3748361)...printing done.
% 0.19/0.29 % (3748359)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (3748359)------------------------------
% 0.19/0.29 % (3748359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (3748359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (3748359)CaDiCaL version: 2.1.3
% 0.19/0.29 % (3748359)Termination reason: Refutation
% 0.19/0.29 % (3748359)Time elapsed: 0.026 s
% 0.19/0.29 % (3748359)Peak memory usage: 13 MB
% 0.19/0.29 % (3748359)Instructions burned: 43 (million)
% 0.19/0.29 % (3748353)Success in time 0.069 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------