%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU305+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:52:48 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 51 ( 18 unt; 0 def)
% Number of atoms : 180 ( 43 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 210 ( 81 ~; 84 |; 29 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 63 ( 57 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(f6,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> join_commut(X0,X1,X2) = join(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(f35,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X1,X2)
& below(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X1,X2)
& below(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f50,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f51,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f50]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(flattening,[],[f54]) ).
fof(f71,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join(X0,X1,X2)
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f72,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join(X0,X1,X2)
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f71]) ).
fof(f74,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(X0,X1,X2)
& below(X0,X2,X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f75,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(X0,X1,X2)
& below(X0,X2,X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0) ),
inference(flattening,[],[f74]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ join_commutative(X0)
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,X2)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) = X2
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ join_commutative(X0)
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| join_commut(X0,X1,X2) = join(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f121,plain,
element(sK9,the_carrier(sK7)),
inference(cnf_transformation,[],[f75]) ).
fof(f122,plain,
below(sK7,sK9,sK8),
inference(cnf_transformation,[],[f75]) ).
fof(f123,plain,
below(sK7,sK8,sK9),
inference(cnf_transformation,[],[f75]) ).
fof(f124,plain,
sK8 != sK9,
inference(cnf_transformation,[],[f75]) ).
fof(f125,plain,
element(sK8,the_carrier(sK7)),
inference(cnf_transformation,[],[f75]) ).
fof(f126,plain,
join_semilatt_str(sK7),
inference(cnf_transformation,[],[f75]) ).
fof(f127,plain,
join_commutative(sK7),
inference(cnf_transformation,[],[f75]) ).
fof(f128,plain,
~ empty_carrier(sK7),
inference(cnf_transformation,[],[f75]) ).
fof(f199,plain,
( empty_carrier(sK7)
| ~ element(sK9,the_carrier(sK7))
| ~ element(sK8,the_carrier(sK7))
| sK8 = join(sK7,sK9,sK8)
| ~ join_semilatt_str(sK7) ),
inference(resolution,[],[f92,f122]) ).
fof(f200,plain,
( empty_carrier(sK7)
| ~ element(sK8,the_carrier(sK7))
| ~ element(sK9,the_carrier(sK7))
| sK9 = join(sK7,sK8,sK9)
| ~ join_semilatt_str(sK7) ),
inference(resolution,[],[f92,f123]) ).
fof(f201,plain,
( ~ element(sK8,the_carrier(sK7))
| ~ element(sK9,the_carrier(sK7))
| sK9 = join(sK7,sK8,sK9)
| ~ join_semilatt_str(sK7) ),
inference(forward_subsumption_resolution,[],[f200,f128]) ).
fof(f202,plain,
( ~ element(sK9,the_carrier(sK7))
| ~ element(sK8,the_carrier(sK7))
| sK8 = join(sK7,sK9,sK8)
| ~ join_semilatt_str(sK7) ),
inference(forward_subsumption_resolution,[],[f199,f128]) ).
fof(f203,plain,
( ~ element(sK9,the_carrier(sK7))
| sK9 = join(sK7,sK8,sK9)
| ~ join_semilatt_str(sK7) ),
inference(forward_subsumption_resolution,[],[f201,f125]) ).
fof(f204,plain,
( ~ element(sK8,the_carrier(sK7))
| sK8 = join(sK7,sK9,sK8)
| ~ join_semilatt_str(sK7) ),
inference(forward_subsumption_resolution,[],[f202,f121]) ).
fof(f205,plain,
( sK9 = join(sK7,sK8,sK9)
| ~ join_semilatt_str(sK7) ),
inference(forward_subsumption_resolution,[],[f203,f121]) ).
fof(f206,plain,
( sK8 = join(sK7,sK9,sK8)
| ~ join_semilatt_str(sK7) ),
inference(forward_subsumption_resolution,[],[f204,f125]) ).
fof(f207,plain,
sK9 = join(sK7,sK8,sK9),
inference(forward_subsumption_resolution,[],[f205,f126]) ).
fof(f208,plain,
sK8 = join(sK7,sK9,sK8),
inference(forward_subsumption_resolution,[],[f206,f126]) ).
fof(f210,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK7))
| ~ join_semilatt_str(sK7)
| ~ element(X1,the_carrier(sK7))
| empty_carrier(sK7)
| join_commut(sK7,X1,X0) = join_commut(sK7,X0,X1) ),
inference(resolution,[],[f89,f127]) ).
fof(f211,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7))
| empty_carrier(sK7)
| join_commut(sK7,X1,X0) = join_commut(sK7,X0,X1) ),
inference(forward_subsumption_resolution,[],[f210,f126]) ).
fof(f212,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7))
| join_commut(sK7,X1,X0) = join_commut(sK7,X0,X1) ),
inference(forward_subsumption_resolution,[],[f211,f128]) ).
fof(f214,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK7))
| ~ join_semilatt_str(sK7)
| ~ element(X1,the_carrier(sK7))
| empty_carrier(sK7)
| join_commut(sK7,X0,X1) = join(sK7,X0,X1) ),
inference(resolution,[],[f116,f127]) ).
fof(f215,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7))
| empty_carrier(sK7)
| join_commut(sK7,X0,X1) = join(sK7,X0,X1) ),
inference(forward_subsumption_resolution,[],[f214,f126]) ).
fof(f216,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7))
| join_commut(sK7,X0,X1) = join(sK7,X0,X1) ),
inference(forward_subsumption_resolution,[],[f215,f128]) ).
fof(f224,plain,
! [X0] :
( ~ element(X0,the_carrier(sK7))
| join_commut(sK7,X0,sK8) = join_commut(sK7,sK8,X0) ),
inference(resolution,[],[f212,f125]) ).
fof(f233,plain,
join_commut(sK7,sK9,sK8) = join_commut(sK7,sK8,sK9),
inference(resolution,[],[f224,f121]) ).
fof(f251,plain,
! [X0] :
( ~ element(X0,the_carrier(sK7))
| join_commut(sK7,sK8,X0) = join(sK7,sK8,X0) ),
inference(resolution,[],[f216,f125]) ).
fof(f252,plain,
! [X0] :
( ~ element(X0,the_carrier(sK7))
| join_commut(sK7,sK9,X0) = join(sK7,sK9,X0) ),
inference(resolution,[],[f216,f121]) ).
fof(f262,plain,
join(sK7,sK8,sK9) = join_commut(sK7,sK8,sK9),
inference(resolution,[],[f251,f121]) ).
fof(f264,plain,
sK9 = join_commut(sK7,sK8,sK9),
inference(forward_demodulation,[],[f262,f207]) ).
fof(f293,plain,
join(sK7,sK9,sK8) = join_commut(sK7,sK9,sK8),
inference(resolution,[],[f252,f125]) ).
fof(f296,plain,
join(sK7,sK9,sK8) = join_commut(sK7,sK8,sK9),
inference(forward_demodulation,[],[f293,f233]) ).
fof(f297,plain,
sK9 = join(sK7,sK9,sK8),
inference(forward_demodulation,[],[f296,f264]) ).
fof(f298,plain,
sK8 = sK9,
inference(forward_demodulation,[],[f297,f208]) ).
fof(f299,plain,
$false,
inference(forward_subsumption_resolution,[],[f298,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU305+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n006.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 04:37:25 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.45 Running first-order model finding
% 0.12/0.45 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
% 0.18/0.50 % (3583514)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (3583519)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1592506939_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % TRYING [1]
% 0.18/0.50 % TRYING [2]
% 0.18/0.50 % (3583520)% WARNING: option uhcvi not known.
% 0.18/0.50 % TRYING [3]
% 0.18/0.50 % (3583520)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2715826013:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (3583521)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3268834106:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (3583522)dis+10_1_sil=32000:sp=arity:random_seed=1047390123:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (3583525)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=867891399:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % (3583523)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1906367700:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (3583524)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1005247134:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (3583522) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3583514-3583522"...
% 0.18/0.50 % (3583523) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3583514-3583523"...
% 0.18/0.50 % (3583523)...printing done.
% 0.18/0.50 % (3583522)...printing done.
% 0.18/0.50 % (3583520) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3583514-3583520"...
% 0.18/0.50 % (3583523)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (3583523)------------------------------
% 0.18/0.50 % (3583523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (3583523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (3583523)CaDiCaL version: 2.1.3
% 0.18/0.50 % (3583523)Termination reason: Refutation
% 0.18/0.50 % (3583523)Time elapsed: 0.008 s
% 0.18/0.50 % (3583523)Peak memory usage: 12 MB
% 0.18/0.50 % (3583523)Instructions burned: 11 (million)
% 0.18/0.50 % (3583514)Success in time 0.043 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------